What reasons can be given for the steps in solving the equation for x ?

Answer:

Store A you get more apples for a cheaper price

Step-by-step explanation:

Store A:

7/4 = $1.75 per pound

Store B:

5.40/3= $1.80 per pound

Answer:

y = -3x/4 + 4

Step-by-step explanation:

slope m = -3/4

-2=(-3/4)×8+b

or, b = 4

y = mx + b

y = -3x/4 + 4

Answered by GAUTHMATH

Therefore, Miranda can potentially earn $12,320 in interest from this investment in 8 years.

Investment refers to the allocation of resources, such as money, time, or effort, with the expectation of generating some form of return or profit in the future. In other words, investment involves committing resources to a project, venture, or asset with the goal of making a financial gain or achieving some other objective, such as long-term growth, income generation, or risk reduction.

There are various types of investments, including stocks, bonds, mutual funds, real estate, commodities, and cryptocurrencies, each with its own level of risk and potential return. Investors typically consider factors such as market trends, economic conditions, company performance, and their own financial goals and risk tolerance when deciding where to invest their resources. The ultimate aim of investing is to grow one's wealth and achieve financial security over the long term.

To calculate the interest that Miranda can earn from this investment in 8 years, we can use the formula:

I = P * r * t

Where:

I = Interest earned

P = Principal amount (initial investment)

r = Annual interest rate

t = Time period in years

Substituting the given values, we have:

\(I = 14,000 * 0.11 * 8\)

\(I = $12,320\)

Therefore, Miranda can potentially earn $12,320 in interest from this investment in 8 years.

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Answer:

Given:

AC = 14      and       BC = 9

AB = ?

Solution:

From the fig:

AC = AB + BC

Putting the values

14 = AB + 9

AB = 14 - 9

AB = 5

(you can also take AB = x or any other variable)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

#1: 4x - 8 = 16 (You want to remove -8)

#2: 4x = 24 (In order to remove -8 you need to cancel it out, add 8 to -8, also add 8 to 16)

#3: 4x = 24 (Now you need to get the x by itself, divide 4x by 4 to only get x and also divide 24 by 4)

#4: x = 6

Rule of Thumb: If you do something to one side, to it to the other :)

Answer:

d

Step-by-step explanation:

d

Answer:

a. 30

b. 15

c. 42

Step-by-step explanation:

We have two types of hamburgers and six types of extras.

a.

To find the number of different burgers with 4 extras, we have a combination of 6 choose 4 to find the number of possibilities for the extras, and we have that amount of possibilities for each of the two types of burger, so we have:

2 * C(6,4) = 2 * 6! / (4! * 2!) = 2 * 6 * 5 / 2 = 30 different hamburgers.

b.

The number of different regular hamburgers is half the number of different burgers found above:

C(6,4) = 6! / (4! * 2!) = 6 * 5 / 2 = 15 different hamburgers.

c.

We want at least 3 extras, so we can have 3, 4, 5 or 6 extras, then we need to calculate combinations of 6 choose 3, 4, 5 and 6:

3 extras: C(6,3) = 6! / (3! * 3!) = 6 * 5 * 4 / 3 * 2 = 20 different hamburgers.

4 extras: C(6,4) = 6! / (4! * 2!) = 6 * 5 / 2 = 15 different hamburgers.

5 extras: C(6,5) = 6! / (5! * 1!) = 6 / 1 = 6 different hamburgers.

6 extras: C(6,6) = 6! / (6! * 0!) = 1 different hamburger.

Total: 20 + 15 + 6 + 1 = 42 different regular burgers

Answer:

15 smukeroos

Step-by-step explanation:

The cost of an entrance ticket on the trip to Spring Shot trampoline park is equal to $ \(16\frac{1}{2}\).

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

It is given that the total cost of trip for Lorenzo and his friends is $68.

Let's assume the cost of the entrance ticket be x.

The cost of entrance ticket for all of them = 4x

The fee added to entrance ticket is $2.

So , the algebraic expression can be written as :

2 + 4x = 68

reordering the like terms :

4x = 68 - 2

4x = 66

Dividing by 2 on both sides :

2x = 33

or

x = \(\frac{33}{2}\)

or

x = \(16\frac{1}{2}\)

Therefore , the cost of an entrance ticket on the trip to Spring Shot trampoline park is equal to $ \(16\frac{1}{2}\).

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Answer:

x = 1 , x = 13

Step-by-step explanation:

(x - 7)² = 36 ( take square root of both sides )

x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )

x = 7 ± 6

then

x = 7 - 6 = 1

x = 7 + 6 = 13

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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55 ft

base + base2 / 2 x h

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

Answer:

c

Step-by-step explanation:

it has a repeating domain so it can not be a function

0,−1,2,1,0 has two values corresponding to a range of functions so it will not form a function so option (C) will be correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of functin at x = 1 its that f(1) = 1 called range variable.

To be a relation a function for every single unique input there must be single unique output.

Since the interval 0,−1,2,1,0 has 2 inputs for single output so it will not form an function.

Hence "0,−1,2,1,0 has two values corresponding to a range of functions so it will not form a function".

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The value of x is 1.75 and y is 5. The solution is obtained using properties of congruent triangles.

What is a congruent triangle?

Two triangles that are congruent will have precisely the same three sides and three angles.

The dimensions of the triangles' sides and angles determine whether two or more triangles are congruent. A triangle's size is determined by its three sides, and its shape by its three angles. Pairs of corresponding sides and corresponding angles in two triangles are said to be equal if they are congruent. They share a similar size and shape. In triangles, there are numerous congruence conditions.

The triangles are congruent by SAS congruency because

AC = CD (Given)

∠ACB = ∠DCE ( Vertically opposite angles)

BC = CE  (Given)

Thus, Triangle ABC ≅ Triangle DEC

Since, the triangles are congruent, therefore

⇒AC = CD

⇒4y-6 = 2x+6   ...(1)

Also, BC = CE

⇒3y+1 = 4x

⇒(3y+1)/4 = x    ...(2)

Now, substituting the value of x in (1), we get,

⇒4y-6 = 2(3y+1)/4+(6)

⇒4y-6 = (6y+2 +24)/4

⇒16y-24 = 6y+2 +24

⇒10y = 50

⇒y = 5

Now putting the value of y in (2), we get

⇒(3(2)+1)/4 = x

⇒7/4 = x

⇒ x = 1.75

Hence, the value of x is 1.75 and y is 5.

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Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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Answer:

I am not certain but

Step-by-step explanation:

4. y=-6x-48

5.-7 and 4

thoes are the only ones I know but good luck

Answer:

A i think

Step-by-step explanation:

Answer:

The file contains the solution to the question

Answer:

0.06 cents per ounce

Step-by-step explanation:

Answer: 0.06 will be your answer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

x²-5x+29=8x-6

x²-13x+35=0

\(x=\frac{13 \pm\sqrt{(-13)^2-4(1)(35)} }{2(1)} \\x=\frac{13 \pm\sqrt{169-140} }{2} \\x=\frac{13 \pm\sqrt{29} }{2}\)

Answer:

-5

Step-by-step explanation:

The opposite would be 5, but since we need the opposite of the opposite, the opposite of 5 is -5. Hope this helped and wasn't too confusing!

Answer:

110

Step-by-step explanation:

Hello There!

If you didn't know the rule about angles in a triangle is that they have a sum of 180

So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180

so the missing angle = 180 - 30 - 40

180 - 30 = 150

150 - 40 = 110

so the missing angle = 110

Answer:

Since 1 km = 1000 m, the lawnmowers top speed would be 8000 m/h.

Step-by-step explanation:

Answer:

D. 8,000 meters per hour

Answer:

20

Step-by-step explanation:

Answer:

x = -14/5 or -2.8

Step-by-step explanation:

6 - 5x = 20

Subtract 6 from both sides.

- 5x = 14

Divide both sides by - 5

x = -14/5 or -2.8

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