A segment with endpoints A (4, 2) and C (1,5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.


O (1, 2. 5)


O (2. 5, 3. 5)


O (3. 25, 2. 75)


O (3. 75, 4. 5)

Answers

Answer 1

The answer is  (3.25, 2.75)

To find point B, we can use the fact that AB and BC form a 1:3 ratio. Let's start by finding the coordinates of point B.

First, we need to find the distance between A and C. We can use the distance formula for this:

\(d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)\)

where  \((x1, y1) = (4, 2)\)  and \((x2, y2) = (1, 5)\)

\(d = \sqrt{((1 - 4)^2 + (5 - 2)^2)} = \sqrt{(9 + 9)} = \sqrt{(18)}\)

Next, we need to find the distance between A and B, which we'll call x, and the distance between B and C, which we'll call 3x (since AB and BC are in a 1:3 ratio).

Using the distance formula for AB:

\(x = \sqrt{\\((x2 - x1)^2 + (y2 - y1)^2)\)

where \((x1, y1) = (4, 2)\) and \((x2, y2) = (Bx, By)\)

\(x = \sqrt{((Bx - 4)^2 + (By - 2)^2)\)

Using the distance formula for BC:

\(3x = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)\)

where \((x1, y1) = (1, 5)\) and \((x2, y2) = (Bx, By)\)

\(3x = \sqrt{((Bx - 1)^2 + (By - 5)^2)\)

Now we can set up an equation using the fact that AB and BC are in a 1:3 ratio:

\(x / 3x = 1 / 4\)

Simplifying this equation, we get:

\(4x = 3(AB)\)

\(4x = 3\sqrt{((Bx - 4)^2 + (By - 2)^2)\)

And

\(9x = \sqrt{((Bx - 1)^2 + (By - 5)^2)\)

Now we have two equations and two unknowns (Bx and By). We can solve for Bx in the first equation and substitute into the second equation:

\(Bx = (3\sqrt{((Bx - 4)^2 + (By - 2)^2))} / 4\)

\(9x = \sqrt{((Bx - 1)^2 + (By - 5)^2)\)

\(81((Bx - 4)^2 + (By - 2)^2) / 16 = (Bx - 1)^2 + (By - 5)^2\)

Expanding the squares and simplifying, we get:

\(81Bx^2 - 648Bx + 1245 = 16Bx^2 - 32Bx + 266\)

\(65Bx^2 - 616Bx + 979 = 0\)

Using the quadratic formula, we get:

\(Bx = (616 ± \sqrt{(616^2 - 4(65)(979)))} / (2(65))\)

\(Bx = (616 ± \sqrt{(223456))} / 130\)

\(Bx = 3.25\) or \(Bx = 10.2\)

We can eliminate the solution Bx ≈ 10.2 because it is outside the segment AC. Therefore, the solution is:

B = (3.25, 2.75)

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Related Questions

Napoleon's route through the alps involved a climb of 6km and a descent of 4km. His army travelled twice as fast downhill as it did uphill, the whole journey took 8 hours. How long did it take to reach the top?

Answers

Answer:

6 hours.

Step-by-step explanation:

since that is true we can use trial and error. if every km took an hour it would take six hours up and 4 hours down but they said they were twice as fast going down so that means it would take 2 hours going down. 6 add 2 is 8 which is our total meaning that 6 hours is the right answer

Which of the following shows the Numbers
arranged in increasing order

Which of the following shows the Numbersarranged in increasing order

Answers

Answer:

D

Step-by-step explanation: Plato test

Answer:

C

Step-by-step explanation:

The negative numbers should be the beginning ones because those are less than the positive ones. This eliminates D because it starts with 2/3, which isn't negative. -√3 is between -2 and -1, so it is greater than -5. This means that it should come after -5 in the sequence. The only option we are left with now is C. Hope this helps!

The Digby Company ha jut purchaed $40,900,000 of plant and equipment that ha an etimated ueful life of 15 year. The expected alvage value at the end of 15 year i $4,090,000. What will the depreciation expene for thi purchae (exclude all other plant and equipment) be for the econd year of ue? (Ue FASB GAAP)

Answers

$35,992,000 will the second year's depreciation cost for this acquisition when Digby Company recently spent $40,900,000 on machinery.

Given that,

The Digby Company recently spent $40,900,000 on machinery and equipment with a 15-year expected useful life. At the conclusion of 15 years, a salvage value of $4,090,000 is anticipated.

We have to find what will the second year's depreciation cost for this acquisition be.

We know that,

Using line depreciation method,

Depreciable cost = Cost - Salvage value

= $40,900,000- $4,090,000

= $36,810,000

Depreciation per year = Depreciable cost/life

= 36,810,000/15

= $2,454,000

After second year of use,

Depreciation expenses = $,2,454,000×2

= $4,908,000

Book value = cost - depreciation expenses = 40,900,000 - 4,908,000 = $35,992,000

Therefore, $35,992,000 will the second year's depreciation cost for this acquisition when Digby Company recently spent $40,900,000 on machinery.

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Share 1km in the ratio 2:3

Answers

Answer:

400:600 (meters) or 0.4:0.6 (kilometers)

Explanation:

1km is equal to 1000m. Considering our ratio is 2:3, it can also be seen as 4:6 which is equal to 10.

\(10\) × \(100 = 1000\)
\(4\) × \(100 = 400\)
\(6\) × \(100 = 600\)
\(400:600\)

So our answer is 400:600, which can also be converted back to kilometers.

\(400\) ÷ \(1000 = 0.4\)
\(600\) ÷ \(1000 = 0.6\)
\(0.4:0.6\)

Answer:

Step-by-step explanation:

First convert km to m

1km=1000m

then divide it into 5, because of 2+3

1000/5=200

2*200=400cm or 0.4km

3*200=600cm or 0.6km

jane ring cut a 6-ft. subway sandwich into 1 1/2-ft. sandwiches. how many sandwiches can be cut from the 6-ft. sub?'

Answers

Answer:

4

Step-by-step explanation:

You can rewrite 1 1/2  as 1.5. This just makes it easier if you use a calculator.

6/1.5 = 4

Let's just think of a different way to think about it:

If you add up two 1 1/2 ft sandwiches, (1.5 + 1.5), that equals 3. Two 3's equal 6. Again, the answer is 4.

Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.

Answers

Answer:

Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.

Step-by-step explanation:

Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.

I have a question please help ;w;

I have a question please help ;w;

Answers

Answer:

4

Step-by-step explanation:

A theme park charges $52 for a day pass and $110 for a weekly pass. Last month 4,432 day passes were sold and 979 weekly passes were sold. How much money did they make on daily and weekly passes last month

Answers

The theme park made $230,464 on daily passes and $107,690 on weekly passes, for a total of $338,154.

How to calculate the amount of money made by a theme park on daily and weekly passes based?

To calculate the amount of money made on daily passes, we need to multiply the number of day passes sold by the price per day pass:

Money made on daily passes = 4,432 x $52 = $230,464

To calculate the amount of money made on weekly passes, we need to multiply the number of weekly passes sold by the price per weekly pass:

Money made on weekly passes = 979 x $110 = $107,690

Therefore, the total amount of money made on both daily and weekly passes last month is:

$230,464 + $107,690 = $338,154

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suppose that 34% of the petri dishes in a lab contain agar that has been colored green. you will independently sample 10 of the dishes. which is true of the (random) number of green dishes that you will have in your sample? group of answer choices the distribution is right skewed the distribution is left skewed the distribution is symmetric the distribution is multi-modal none of the other answers

Answers

The number of green dishes in the sample will be the distribution is right skewed.  Option(1)

The number of green dishes in the sample of 10 petri dishes follows a binomial distribution with parameters n = 10 and p = 0.34.

The probability mass function of a binomial distribution is given by:

\(P(X = k) = (n choose k) * p^k * (1-p)^(n-k)\)

where X is the random variable representing the number of green dishes in the sample, k is a specific value of X, (n choose k) is the binomial coefficient, and p is the probability of success (i.e., the proportion of petri dishes that contain agar colored green).

The mean and variance of a binomial distribution are given by:

mean = n * p

variance = n * p * (1-p)

In this case, the mean is:

mean = 10 * 0.34 = 3.4

And the variance is:

variance = 10 * 0.34 * (1-0.34) = 2.244

The distribution of the number of green dishes in the sample is not symmetric because the binomial distribution is skewed whenever p is not equal to 0.5. In this case, p is 0.34, so the distribution is skewed to the right.

Therefore, the correct answer is: The distribution is right skewed.

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Full Question: Suppose that 34% of the petri dishes in a lab contain agar that has been colored green. you will independently sample 10 of the dishes. which is true of the (random) number of green dishes that you will have in your sample? group of answer choices

the distribution is right skewed the distribution is left-skewed the distribution is symmetric the distribution is multi-modal none of the other answers

Which of the following is the converse of the Triangle Proportionality
Theorem?
A. If a line divides two sides of a triangle proportionally, then it is
parallel to the third.
B. If a line is perpendicular to one side of a triangle, then it divides
the other two sides proportionally.
C. If a line is parallel to one side of a triangle, then it divides the other
two sides proportionally.
D. If a line divides two sides of a triangle proportionally, then it is
perpendicular to the third.
I’m

Answers

Answer:

The answer is A

Step-by-step explanation:

The correct answer is:

A)  If a line divides two sides of a triangle proportionally, then it is

parallel to the third.

What is triangle proportionally?

If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

The converse of the triangle proportionality theorem states "If a line divides two sides of a triangle proportionally, then that line is parallel to the third side."

Hence, the converse will be If a line divides two sides of a triangle proportionally, then it is parallel to the third.

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How Many BTU In A Ton?

Answers

One ton of cooling is equal to 12,000 British Thermal Units (BTUs) per hour.

In the context of air conditioning and refrigeration systems, a ton is a unit of measurement used to describe the cooling capacity of the system. One ton of cooling is equal to 12,000 British Thermal Units (BTUs) per hour.

Therefore, to convert BTUs to tons, you simply need to divide the number of BTUs by 12,000. For example:

24,000 BTUs = 2 tons (24,000 / 12,000)

36,000 BTUs = 3 tons (36,000 / 12,000)

48,000 BTUs = 4 tons (48,000 / 12,000)

60,000 BTUs = 5 tons (60,000 / 12,000)

This conversion is useful when selecting the appropriate size air conditioning or refrigeration system for a given space, as the size of the system will depend on the cooling load required to keep the space at a comfortable temperature.

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A committee of four is to be selected from a group of sixteen people. How many different committees are possible, given the following conditions?
(a) There is no distinction between the responsibilities of the members
(b) One person is the chair, and the rest are general members.
(c) One person is the chair, one person is the secretary, one person is responsible for refreshments, and one person cleans up after meetings.

Answers

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

The factorial function (symbol: !) just means to multiply a series of descending natural numbers.

a) The number of four people committees that can be selected from a group of 16 people is:

no. of committees are possible = 16!/ 4!

(16x15x14x13)/(1x2x3x4)=1820

b)Given that

One person is the chair, and the rest are general members

n! / (n − r)!

where n is the number of things to choose from,

Pick a chairman:: 16 ways

Pick 3 others:: 15C3 = 455 ways

Ans: 16×455 = 7200

c)

Each committee has a chair, a secretary, a refreshment person and a cleanup person.

The number of combinations of assignments within each committee is: 4x3x2x1=24.

The total number of committees with each committee member’s responsibility is: 1820x24=43680.

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The total number of fans is attendance at a Wednesday baseball game was 48,268. The game had 12,568 more fans than the Tuesday game the day before. How many fans attended each game?

Answers

35,700 fans attended the game on Tuesday.
35,700+48,268=83,969.

A store owner discounted some silver coat racks from $625 to $405. What percentage is the discount?

Answers

Answer: 64.80% not 100% positive if i did that math right but thats what i got

Step-by-step explanation:

38.8679

Step-by-step explanation:

what is the value of r2? (hint: find ssr (regression sum of squares) using the version of theformula within it. (you did this in a practice exercise.) also, what is sst? (it is on the table)

Answers

A higher R-squared value indicates a better fit of the regression model to the data.

R-squared is a statistical measure that is commonly used to evaluate the goodness of fit of a regression model.

To understand how R-squared works, let's first review the concept of regression. Regression analysis is a statistical technique used to explore the relationship between two or more variables.

In a simple linear regression, we have a dependent variable (Y) and an independent variable (X), and we are trying to find a line of best fit that can predict the value of Y based on X.

Now, let's assume that we have a set of data points for Y and X. We can use regression analysis to find the line of best fit that minimizes the distance between the predicted values and the actual values of Y. The sum of the squared errors between the predicted and actual values of Y is called the regression sum of squares (SSR).

SSR is an important component in calculating R-squared. To find R-squared, we divide SSR by the total sum of squares (SST), which is the sum of the squared differences between the actual values of Y and the mean of Y. The resulting value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the regression model to the data.

In mathematical terms, R-squared can be expressed as:

R-squared = SSR / SST

Therefore, to find the value of R-squared, we first need to calculate SSR using the formula within it. Once we have SSR and SST, we can divide SSR by SST to obtain the value of R-squared.

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18/19 as a decimal rounded to the nearest tenth.

Answers

Answer: 0.9

Step-by-step explanation: First, divide 18 by 19. The exact answer to the fraction is 0.94736842105. To round to the nearest tenth, check if the answer directly to the right of the number after the decimal point is above or below five. In this case, it is below, rounding the answer to 0.9. Hope that helps!

A pattern is emerging... the general term is
Plugging in we get, (a) Do the same thing for the recurrence T(n) = 3T(n/2) + O(n). What is the general term in this case? And what value of k should be plugged in to get the answer?
(b) Now try the recurrence , a case which is not covered by the master theorem. Can you solve this too?

Answers

The general term for the recurrence T(n) = 3T(n/2) + O(n) is O(nlog3). To get the answer, we should plug in k = log3. For the second recurrence, we cannot use the master theorem since it does not cover this case.

To solve this recurrence, we have to use the substitution method, where we guess a solution of the form T(n) = an^k and then prove that this is indeed a solution. This can be done by substituting the guessed solution back in to the recurrence. If the substitution works, then we have solved the recurrence. If not, we can try different values for a and k until the substitution works.

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Convert 290 into centimeters

Answers

Answer:

290 what sir,

To change, first you need units

Okay

10mm = 1cm

290 mm =29 cm

Answer:The centimeter is a unit of length in a metric system. Formerly, the centimeter was the basic unit in CGS (centimeter-gram-second) system of units. It is used mostly in countries of a continental Europe.

The centimeter is equal 10 millimeters or 1/100 of a meter. The symbol of a centimeter is cm.

What is a centimeter used for? For instance, to measure height but not only. It is used also to report the level of rainfall or to represent second moment of areas.

The inch is also a unit of length, but in the Imperial (also known as British) and United States customary systems of measurement.

It is used mostly in the United Kingdom and the United States but not only. It is sometimes used in Japan or in continental Europe too, for instance, to measure display screens.

The inch is equal 1/12 of a foot or 1/36 yard. It is also defined as exactly 25.4 mm. The symbol of an inch is in or “.

What is an inch used for? Like a centimeter, it is used to measure height. An inch is also a unit for road signs, in inches is measured distance.

After these theoretical information we can move on to the more practical part of this article to know how much is 290 cm to inches.

290 cm into inches

Before we give you a 290 cm to inches formula, you need to know how many centimeters in an inch and how many inches in a centimeter. Let’s see:

290 cm = 114.173228230 inches

290 inch = 736.60 centimeters

Now we can convert 290 cm to inches. A formula for calculation 290 cm to inches is down below. Have a look:

Number of centimeters * 0.393700787 = the result in inches

So try this 290 cm to inches formula. How much is 290 cm into inches? Multiply 290 by 0.393700787. It gives 114.173228230. So 290 centimeter is equal 114.173228230 inches.

This 290 cm to inches formula is quite long, so it can be difficult to calculate bigger numbers using this formula. But don’t worry. We have also a shorter form of a formula for you. Let’s see:

Number of centimeters * 0.39 = the result in inches

Let’s try this formula to make 290 cm inches conversion. Multiply 290 by 0.39. It gives 113.10. So 290 cm equivalent to inches is 113.10.

You can also calculate what is 290 cm to inches in other way, using 290 cm to inches fraction. Do you want to know how to make it? If you want to convert 290 cm to inches fraction is down below:

Number of centimeters / 2.54 = the result in inches

So try this 290 cm to inches fraction to know 290 cm equals how many inches. Divide 290 by 2.54. It gives 114.17322910. So 290 centimeter is equal 114.17322910 inches.

You can also round off the result, for instance, to two decimal places. Then your result will be equal 0.39 inches.

Now you know how to calculate 290 cm equals many inches in 3 different ways.

290 centimeters into inches

We want to show you how many is 290 cm to inches in two charts. If it comes to conversion of 290 cm to inches image is usually so much clearer than only calculations.

In the first chart we want to show you the result calculated using a full formula. Have a look:

Centimeters (cm) Inches (in)

290 114.173228230

In the second chart you can find the result calculated using a short form of a formula. Let’s see:

Centimeters (cm) Inches (in)

290 113.10 c.m

please help me for 10 points

please help me for 10 points

Answers

The answer is B, 5/4+2/4=7/4

Answer:

B

Step-by-step explanation:

There are already 5 1/4 and it's adding 2 1/4

5/4 + 2/4=7/4 and it can't be simplified into a whole

What is the parabola of

What is the parabola of

Answers

The parabola representing the graph of the function y = 2x² + 3x + 1 is a concave up parabola.

How to classify a parabola as concave up or concave down?

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

The vertex is classified as a maximum or minimum depending on the term a, which multiplies x², as follows:

If a > 0, the vertex is a minimum, meaning that the parabola is concave up.If a < 0,  the vertex is a maximum, meaning that the parabola is concave down.

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Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch

Answers

Answer:

Following are the responses to the given question.

Step-by-step explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

\(l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\\)

Formula:

\(d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}\)

For d1:

\(x_1=7, y_1=-1, x_2=-2, y_2=4\\\\\)

\(d=\sqrt{((-2-7)^2+(4+1)^2)}\)

  \(=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29\)

For d2:

\(x_1=7, y_1=-1, x_2=6, y_2=5\\\\\)

\(d=\sqrt{((6-7)^2+(5+1)^2)}\)

  \(=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08\)

The first distance value is greater than the second distance value.


What is the radical form of the expression
2 3/4

Answers

this is the answer i didn’t know how to type the answer
What is the radical form of the expression2 3/4
Top comment is correct

T.
G
1.6 cm
6 cm
6 cm

-
Find volume

T.G1.6 cm6 cm6 cm-Find volume

Answers

Answer:

57.6......

Step-by-step explanation:

v=lxbxh...........

If there is a 50-50 chance of the Sneakers winning today's game, what are the chances that they win their next gam~

Answers

Solving the question asked, we can say: If you win tonight, your odds of winning the next game are \($58.33\%$\). After that, if you lose, you have a \($38.88 \%$\) chance of winning the game.

What is probability?

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the disease that a particular event will occur. Another way to express probability is as a percentage from 0% to 100% or 0 to 1. Proportion of occurrences in the complete set of equally likely possibilities leading to a particular occurrence compared to the total number of outcomes.

\($$\begin{aligned}& (2 / 3+1 / 2) / 2=X \\& 1,666 / 2=X \\& 0.58333=X \\& ((2 / 3+1 / 2 / 2) x 2 / 3=X \\& 0.58333 x 0.666=X .3888=X\end{aligned}$$\)

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The matrix 0 A = () 2) -3 1 -1 has the following eigenvalues and eigenvectors 0 l1 = -1; vi (2) 12 = -3; 72 1 Find the solution to the constant coefficient linear system -3 0 () = (* 1) (1) d x dt (20) = (2 70 -1 y y(0) PLease denote the exponential function by exp(t) rather than e**t or e^t. ä(t) = g(t) =

Answers

The solution to the system of differential equations can be found using the matrix exponential function.

First, we find the matrix P of eigenvectors of A:

P = [v1, v2] = [(2,1), (1,-3)]

The matrix of eigenvalues is:

D = [l1, 0 ; 0, l2] = [(-1,0) ; (0,-3)]

We can then write A as:

A = PDP^-1

Next, we find P^-1:

P^-1 = (1/5)[3, 1; 1, 2]

Using these matrices, we can write the solution to the differential equation system as:

[x(t) ; y(t)] = exp(At) [x(0) ; y(0)]

= P exp(Dt) P^-1 [x(0) ; y(0)]

= (1/5)[3, 1; 1, 2] [exp(-t), 0 ; 0, exp(-3t)] [2, 1 ; 1, -3] [1 ; 0]

= (1/5)[3, 1; 1, 2] [2exp(-t) ; exp(-3t)]

= [ (6/5)exp(-t) + (1/5)exp(-3t) ; (2/5)exp(-t) - (1/5)exp(-3t) ]

Therefore, the solution to the differential equation system is:

x(t) = (6/5)exp(-t) + (1/5)exp(-3t)

y(t) = (2/5)exp(-t) - (1/5)exp(-3t)

So, a(t) = x(t) + y(t) = (8/5)exp(-t)

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rewrite the following radical expression in rational exponent form.
(underroot x)5

Answers

The given radical expression is (√x)^5. To rewrite it in rational exponent form, we need to express the square root (√) as a fractional exponent.

The square root (√) of x can be written as x^(1/2).

To raise x^(1/2) to the power of 5, we can multiply the exponents: (x^(1/2))^5 = x^(5/2).

Therefore, the radical expression (√x)^5 can be rewritten as x^(5/2) in rational exponent form.

In summary, (√x)^5 is equivalent to x^(5/2) in rational exponent form.

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You and three of your friends have stock in a corporation and are interested in voting one of your friends in as a new director for the corporation. There are three director positions open, but your group only owns a minority of the shares of stock in the corporation. Do you think there is anything you and your friends can do to ensure that your candidate for the board of directors wins? no, unless you each agree in writing before the election to all vote the same way yes, if your candidate can get enough publicity no, a majority always wins yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate

Answers

Yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate, you and your friends can ensure that your candidate for the board of directors wins, even with a minority of shares.

The bylaws of a corporation outline the rules and procedures governing its operations, including the election of directors. In some cases, the bylaws may allow shareholders to pool their votes and vote them all for a single candidate. This means that if you and your friends collectively own enough shares to secure a majority of the votes, you can consolidate your voting power and ensure the victory of your candidate.

By pooling your votes, you can leverage your collective shares to outweigh the votes of other shareholders and increase the chances of your preferred candidate winning. This strategy enables you to overcome the disadvantage of holding a minority of shares and still have a significant impact on the election outcome.

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What is the area, In square meters, of the sharp below?

What is the area, In square meters, of the sharp below?

Answers

Given data:

The given right nagle triangle.

The expression for the area of the triangle is,

\(\begin{gathered} A=\frac{1}{2}(3.8\text{ m)(5.5 m)} \\ =10.45m^2 \end{gathered}\)

Thus, the area of the given triangle is 10.45 sq-meters.

Convert 25 ounces into grams. Round your answer to the nearest whole number.

Answers

Expert Verified Answer

Step-by-step explanation:

1 ounces equal to 28.35 grams

Apply stoichiometry

as in the picture uploaded

Convert 25 ounces into grams. Round your answer to the nearest whole number.
25 ounces multiplied by the conversion factor (28.34952313) = 708.738078125 rounded to whole number = 709 grams
Hope this helps!

To get the 10% discount, a shopper must spend more than $500.
Use d to represent the spending (in dollars) of a shopper who gets the discount

Answers

Answer:

d\(\geq\)$500

Step-by-step explanation:

To get the 10% discount, a shopper must spend at least $500

so  'd'  represents the spending (in dollars) of a shopper who gets the discount

The value of d must be greater than or equal to $500

d\(\geq\)$500

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