17.5 mark brainlist plssssssssssssss
Dan has finished 2/3 of the 30 problems on an assignment
during class. How many problems did Dan finish during class? Draw a
diagram to illustrate the problem.
Answer:
20
Step-by-step explanation:
2
18 x (14 - 9) = [12 - (19 - 13)
Answer:
just use photomadh.go to playstore or Applestore and installl
Debra made $288 for 18 hours of work. At the same rate, how much would she make for 9 hours of work?
Answer:
She makes $ 144 for 9 hours of work.
Step-by-step explanation:
A simple rule of three:
If 288 for 18 then
X for 9
X = (9*288)/18
X = 2592/18
X = 144
We apply the rule of three:
Payment---------------------time
$288--------------------------18
x-----------------------------9
First multiply 288 by 9, and then divide by 18, so:
\(\bf{x=\dfrac{288*9}{18}=\dfrac{2592}{18}=144 }\)
Therefore, Debora would earn $144 for 9 hours of work.
\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)
Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
for such more question on expressions
https://brainly.com/question/4344214
#SPJ8
Which of the following is false about the central limit theorem (CLT)? O If we take more samples from the original population, the sampling distribution is more likely to be nearly normal. O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. O As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution. O The CLT states that the sampling distribution will be centered at the true population parameter.
Only the first statement is false. The rest are true statements about the Central Limit Theorem.
The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.
It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.
The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.
Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.
Learn more about Central Limit Theorem at : https://brainly.com/question/18403552
#SPJ4
Bruno had a gross income of $4925 during each pay period last year. If he got
paid monthly, how much of his yearly pay was deducted for FICA?
A. $4521.15
B. $3250.50
C. $3871.05
D. $3841.50
The amount of Bruno's yearly pay deducted for FICA is approximately
A. $4,524.15. The closest option provided is A. $4521.15.
To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.
As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.
Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:
Yearly gross income = $4925 * 12 = $59,100
To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:
Social Security deduction = $59,100 * 6.2% = $3,667.20
Medicare deduction = $59,100 * 1.45% = $856.95
Adding these two deductions together:
FICA deduction = $3,667.20 + $856.95 = $4,524.15
Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.
The closest option provided is A. $4521.15.
for such more question on amount deducted
https://brainly.com/question/25821437
#SPJ8
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
For such more questions on velocity
https://brainly.com/question/25749514
#SPJ8
Finding the area and perimeter
Answer:
Lion area: 60
Lion Perimeter: 34
Tiger Area: 60
Tiger perimeter: 64
Step-by-step explanation:
Find the value of x.
The answer would be x=18. First you set it up by setting up an equation;
166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.
Which is a rational function?
A. Y= 2/x
B. Y=x^2 - x + 4
C. Y= x-3^x/x^2
D. Y= x-5/2
A rational function is the algebraic expression y = 2 / x. (Correct choice: A)
What function is a rational function?
Rational functions are algebraic expressions, whose form is described below:
R(x) = P(x) / Q(x)
Where:
P(x) - Numerator polynomic function.Q(x) - Denominator polynomic function.Please notice that Q(x) must be a polynomial whose grade is greater than zero.
Polynomials are algebraic expressions of the form:
P(x) = ∑ cₙ · xⁿ, for n = {0, 1, 2, 3, ..., n, ..., m}, where m is the grade of the polynomial.
Therefore, by direct inspection, we conclude that algebraic expression y = 2 / x is a rational expression.
To learn more on rational functions: https://brainly.com/question/8177326
#SPJ1
A bakery bakes 68 batches of 56 cupcakes each week. How many individual cupcakes do they make each week?
Answer:3808 cupcakes
Step-by-step explanation: 56 times 68
HELP!!!!!!!!!!!!!!! IT'S TIMED!!!!!!!!!!!!!!!!
Dr. Ellison says that the equation y = 17x + 1 has a solution of (1,18).
Is Dr. Ellison right or wrong?
a. HE'S RIGHT
B. he's wrong
c. you need more information
Answer:
The answer is A
Step-by-step explanation:
There are two solutions.
Slope = 17
y - intercept = (0,1)
The two solutions is
(0,1) and (1,18)
So he is right
Answer:
Step-by-step explanation:
a
Jonathan Martinez has $85 deducted from his monthly pay for his group health insurance. His employer
pays 60% of the cost. What is the annual premium amount for Jonathan's group health insurance?
If his employer pays 60% of the cost. The annual premium amount for Jonathan's group health insurance is $2,550.
What is annual premium amount ?Annual premium can simply be defined as the premium a person is expected to pay per year or annually.
First step is to find the cost
Cost = $85/ (1-.60)
Cost = $85/.40
Cost = $212.5
Now let find the annual premium amount
Annual premium amount = Cost × 12 months
Annual premium amount = $212.5 × 12 months
Annual premium amount = $2,550
Therefore the annual premium amount is the amount of $2,550.
Learn more about annual premium amount here:https://brainly.com/question/25280754
#SPJ1
What is 000241 in scientific notation?
Answer:
2.41 × 10⁻⁴
Step-by-step explanation:
Scientific notation (also called "Standard form") is written in the form
\(a \times 10^n\) , where \(1\leq a < 10\) and \(n\) is any positive or negative whole number.
To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.
The number of times you have moved the decimal point is the power of 10 (the value of n).
If the decimal point has moved to the left, n is positive.If the decimal point has moved to the right, n is negative.Therefore, to convert 0.000241 to scientific notation, move the decimal point 4 places to the right so that \(a\) is 2.41. As the decimal point has been moved 4 places the right, we need to multiply 2.41 by 10⁻⁴.
Therefore, 0.000241 = 2.41 × 10⁻⁴.
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
For more such questions on cylinder
https://brainly.com/question/28247116
#SPJ8
A garden is sodded in the shaded portion below. How many square feet were covered in the sod?
The area of the shaded portion was estimated to be around 400 square feet, so 400 square feet were covered in sod.
The shaded portion of the garden was estimated to be around 400 square feet. To cover this area with sod, the soil was prepared by removing any existing vegetation, rocks, and debris. The soil was then leveled and covered with a layer of fertilizer. After that, the sod was laid on top of the soil, with the roots facing down. The sod was then watered and rolled to ensure the sod was securely attached to the ground. The entire process of sodding the garden was completed in 400 square feet, providing an even layer of grass for the area. This will help to keep the garden beautiful and healthy for years to come.
Learn more about area here
https://brainly.com/question/13194650
#SPJ1
HELP!!! An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is ___
square inches.
Answer:
130 in^2 net area
136 in^2 gross area (counting the 6 in^2 scrap loss for the side cutouts)
Step-by-step explanation:
top=1.5x4=6
middle=1.5x4=6
bottom=3x4=12
sides=(2x3x8)-(2x1.5x2)=42
front & back=2x8x4=64
6+6+12+42+64=130
The amount of cardboard required to make one box is 130 inch².
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
From the figure we have
top = 1.5 x 4 = 6
and, middle = 1.5 x 4 =6
and, bottom = 3 x 4 = 12
So, the side is
= (2 x 3 x 8) - (2 x 1.5 x 2)
=42
and, For front and back
= 2 x 8 x 4
=64
Thus, the amount cardboard required
= 6+6+12+42+64
= 130 in²
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ5
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
For more such questions on coordinates
https://brainly.com/question/29660530
#SPJ8
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in lòng are cut from the four corners
and the flaps are folded upward to form an open box. If the volume of the box is 234 in³, what were the original
dimensions of the piece of metal?
The original dimensions of the piece of metal were 15 inches by 20 inches.
To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.
When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.
The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.
Substituting the values, we have:
234 = (x+3)(x-2)(1)
Simplifying the equation, we get:
234 = x^2 + x - 6
Rearranging the equation, we have:
x^2 + x - 240 = 0
Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.
Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.
For more such questions on original dimensions
https://brainly.com/question/31552973
#SPJ8
Is the relation shown in
the table a function?
Explain.
The inputs 4 and 8 have more than one out, the relation is not a function.
Is the relation shown in the table a function?A relation is said to be a function if one input is mapped to one output.
that is, each x-value can only have one y-value.
From the table;
Input, output
4 ----- 1
8 ----- 3
4 ------5
8 ----- 4
4 is an input, it has an output of 1.
4 appeared again as input but this time has an output of 5.
This means one input has more than one output.
Also, 8 is an input, it has an output of 3.
8 appeared again as input but this time has an output of 4.
Which also means one input has more than one output.
Therefore, the relation is not a function.
Learn more about functions here: brainly.com/question/2541698
#SPJ1
The fraction of PKR 1 is 50 paisas
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
More can be learned about fractions at brainly.com/question/1622425
#SPJ1
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21 cups of soda? Using J for juice and S for soda, how will the equation look?
Answer:
Step-by-step explanation:
4 cups of J for every 7 cups of soda 4:7
21 cups of soda will take 12 cups of J
If you take the 7 and multiply by 3 you get the 21.
So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.
4:7 same as 12:21
Find a positive and negative coterminal angle for \small 350^\circ.Positive coterminal angle = degreesNegative coterminal angle = degrees
Answer:
Positive coterminal angle = 710 degrees
Negative coterminal angle = -10 degrees
Explanation:
To be able to determine a positive and negative coterminal angle for 350 degrees, all we need to do is add and subtract 360 degrees from the given angle as shown below;
\(\begin{gathered} 350+360=710^{\circ} \\ 350-360=-10^{\circ} \end{gathered}\)Need help with this problem
Answer:
I could be wrong, but I think you got right in the beginning 107°, but go with your gut feeling. Wish you the very best <3
Answer: x=73 degrees, z=73 degrees, y=107 degrees
Step-by-step explanation:
y=107 degrees because y and 107 degrees are congruent angles
z=x because z and x are congruent angles
x+y=180 ==> x and y are supplementary angles that are placed on a straight line(the straight line is 180 degrees and is called a straight angle.)
x+107=180
x=73 degrees
z=x
z=73 degrees
Diego makes 6 anklets. Each anklets uses 9 inches of string. How many inches of string does Diego us?
Answer:
54 inches
Step-by-step explanation:
Diego is making 6 anklets, and we know that each anklet uses 9 inches of string.
That means that for every anklet, 9 inches of string are used. To solve , all we need to do is multiply the amount of anklets to the amount of strings.
9 * 6
54
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
to know more about unitary method
https://brainly.com/question/28276953
Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Brandon measured the length of a pencil to be 18cm. The actual length of the pencil is 21cm. What is the percent error for Brandon’s measurement? (Round to the nearest tenth).
Answer:
14.2% error
Step-by-step explanation:
21-18 = 3
3/21 = 14.2
Answer:
14.2%
Step-by-step explanation:
21-18 = 3
3/21 = 14.2
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4