Answer:
About 12.68% increase
Step-by-step explanation:
Percent change can be found using:
difference between the values/original value
Difference:
The difference between 71 and 80
80-71=9
Percent Change:
difference/original
The difference is 9, and the original is 71
9/71= 0.12676056338
Convert to a percent by multiplying by 100
0.12676056338*100=12.676056338
Round the nearest hundreth: 12.68
About 12.68% increase
Answer:
12.67 percent
Step-by-step explanation:
To calculate percent change you use the following formula:
[tex]\frac{b - a}{|a|} * 100[/tex]
a = 71 (The first value)
b = 80 (The second value)
Plug the values into the formula.
[tex]\frac{80 - 71}{|71|} * 100[/tex]
[tex]\frac{9}{|71|} * 100[/tex]
[tex]0.1267 * 100[/tex]
[tex]12.67[/tex]
The percent change is 12.67 percent.
Hope this helped! :)
Write 9855 in expanded form
Answer:
9,000+800+50+5
Step-by-step explanation:
Step-by-step explanation:
nine thousand eight hundred fifty five
t
What is the slope of y = -4?
Martin's class needs to raise $1,250 for a river rafting trip. To find how much money each of class members must raise, Martin divides 1,250 by 25. His steps are shown 1.250 25 Step 1: (1,000 + 200 +50) = 25 Step 2: (1,000 - 25) + (200 - 25) + (50 25) Step 3: 400 + 8 + 2 Step 4: 482 In which step did Martin make his first mistake! F Step 1 G Step 2 H Step 3 J Step 4
Answer:
F) Step 1
Step-by-step explanation:
1,000+200+50=1,250, not 25
Martin made his first mistake in Step 2.
Explanation:Martin made his first mistake in Step 2.
In Step 2, Martin subtracted 25 from both 1,000 and 200, correctly. However, for the third number, 50 / 25 is actually 2, not 25. Therefore, the correct calculation should be (50 / 25) instead of (50 - 25).
So, the correct calculation in Step 2 should be (1,000 - 25) + (200 - 25) + (50 / 25) = 975 + 175 + 2 = 1,152.
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Elsa went to a baseball game. The game started at 9:42 AM, and it was 3 hours 37 minutes long. When did the game end?
Answer:
1 : 19 PM
Step-by-step explanation:
9 + 3 = 12
42 + 37 + 79
12:00 + 1 hour and 19 minutes
1 : 19 pm
Your answer is incorrect.
The diameter, D, of a sphere is 16.8 cm. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
V=
?
Answer:
Using the formula of 4/3pir^3, the answer is
Step-by-step explanation:
1) Divide the diameter by 2
2) Plug into your formula
3) cube root it
4) multiple 4
5) Divide the answer by 3
6) use a calculator to multiple the answer with pi
If AB = 9, RS = 3, and SC = 5, find BC.
A) 5
B) 10
C) 13.5
D) 15
Answer:
D
Step-by-step explanation:
Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is
[tex]\frac{BC}{SC}[/tex] = [tex]\frac{AB}{RS}[/tex], substitute values
[tex]\frac{BC}{5}[/tex] = [tex]\frac{9}{3}[/tex] = 3 ( multiply both sides by 5 )
BC = 5 × 3 = 15 → D
Answer:
BC=15, so D
Step-by-step explanation:
First, let's annotate. on line AB, write 9. RS, 3. SC, 5. These are the measurements of lines, not angles. We're trying to find the length of BC, the whole bottom side. Also, all of the little squares represent 90° angles, which means the triangles are also rational.
Lengths 3 and 9 are rational. 1:3. Since they're rational, the triangles are a set of dilations. Because of this, ALL the sides of the triangles are rational. If all the sides are rational by 1:3, which they are, then we can just multiply SC by 3. By doing this, we get the length of BC. Thus, the length of BC is 15.I REALLY hope this helps. If not, I encourage you to watch videos on dilations/rational triangles.
What is the mood of the expert of the monkey paw? A.) fearful B.) Irritated C.) playful D.) Energetic
Answer:
I believe its A. Fearful.
Step-by-step explanation:
Because his story is dark and malicious because of the mood its is dark and foreboding
Question in photo pls help
Answer:
Im pretty sure its C 1.5
Step-by-step explanation:
Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%. Find the balance after 5 years if itcompounded yearly
Answer:
The balanced amount is $3130.25.
Step-by-step explanation:
Given : Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%.
To find : The balance after 5 years if it compounded yearly ?
Solution :
Using compound interest formula,
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where, P=$2500 is the principal
r=4.6%=0.046 is the interest rate
t=5 years
Substitute the values,
[tex]A=2500(1+\frac{0.046}{1})^{5\times 1}[/tex]
[tex]A=2500(1.046)^{5}[/tex]
[tex]A=2500\times 1.2521[/tex]
[tex]A=3130.25[/tex]
Therefore, the balanced amount is $3130.25.
What is happening from ABCDE to A’B’C’D’E’?
2. Find 2 different ways
to get from the
pre image to the image
Answer: 1. it is being rotated by -180 degrees.
2. two different ways to get from a pre image to a image is to dilate and rotate it.
Step-by-step explanation:
The sequence of transformations is
A reflection across the x-axis followed by the y-axis and vice versaA 180 degrees rotationHow to determine the sequence of transformationsFrom the question, we have the following parameters that can be used in our computation:
ABCDE and A'B'C'D'E
Also, we can see that
The point in different directions, share the same center and are in adjacent quadrants
So, a possible transformation is
A reflection across the x-axis followed by the y-axis and vice versa
Another possible transformation is
A 180 degrees rotation
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Find the square root(s) (I need a step by step answer)
Answer:
[tex]\frac{1}{\\3}[/tex]
Step-by-step explanation:
±[tex]\sqrt{ \frac{1}{9}[/tex] = ± [tex]\frac{\sqrt{1}}{\sqrt{9}}[/tex] = ± [tex]\frac{1}{3}[/tex]
there is a ± sign as both positive and negative numbers squared are positive, so the answer could be eitherIf a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , then the volume of the prism is ____ cubic centimeter
Answer:
The volume of the prism is cubic [tex]\frac{105}{512}[/tex] centimeters.Step-by-step explanation:Given that a rectangular prism has the following dimensions:[tex]length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}[/tex]We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by[tex]V=w*h *l.[/tex]Therefore, the volume of the given prism will be[tex]V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.[/tex]Thus, the volume of the prism is [tex]\frac{105}{512}[/tex] cubic centimetres.Trevor took big steps to find the length of the shadow of the big pine tree infront of the school
The big pine tree is approximately 64 feet tall, based on Trevor's estimates of its shadow and the building's shadow.
To find the height of the big pine tree, we can use proportions based on the relationship between the lengths of the shadows and the heights of the objects.
Let's denote:
[tex]- \( S_t \)[/tex] as the length of the shadow of the tree,
[tex]- \( H_t \)[/tex] as the height of the tree,
[tex]- \( S_b \)[/tex] as the length of the shadow of the building, and
[tex]- \( H_b \)[/tex] as the height of the building.
From Trevor's estimates:
[tex]- \( S_t = 48 \)[/tex] feet,
[tex]- \( S_b = 18 \)[/tex] feet, and
[tex]- \( H_b = 24 \)[/tex] feet.
We can set up a proportion to solve for [tex]\( H_t \):[/tex]
[tex]\[ \frac{H_t}{S_t} = \frac{H_b}{S_b} \][/tex]
Substituting the given values:
[tex]\[ \frac{H_t}{48} = \frac{24}{18} \][/tex]
Cross-multiplying:
[tex]\[ 18 \times H_t = 24 \times 48 \][/tex]
[tex]\[ 18H_t = 1152 \][/tex]
[tex]\[ H_t = \frac{1152}{18} \][/tex]
[tex]\[ H_t = 64 \][/tex]
Therefore, the big pine tree is approximately 64 feet tall.
The complete question is:
EVALUATE Trevor took big steps to find the length of the shadow of the big pine tree in front of the school. He estimated that the shadow was 16 yards long, or about 48 feet. He also stepped off the shadow cast by the two-story school building and estimated that its shadow was 18 feet long. Trevor thinks the building is 24 feet tall. About how many feet tall is the big pine tree?
what is -26.1235+8.75(-48.375)
Answer:
449.40475
Step-by-step explanation:
This is actually quite simple.
all you have to do is follow order of operations-pemdas!
Answer:
The answer is -449.40475.
Quadratic fort
Solve.
-6 + 3x – 9x2 = -16
Choose 1 answer:
What is the difference between "Probability" and "Statitistics"?
Answer: Probability deals with predicting future events but statistics involves an analysis of the frequency of past events
Step-by-step explanation:
What are the coefficients of -4x - 7y + 21z?
Answer:
-4
-7
21
Step-by-step explanation:
a coefficient is the number before the variable
Answer:
-4, -7, 21
Step-by-step explanation:
Coefficients are a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x)
So in this problem -4, -7 and 21 are the coefficients
You go to the store to buy shoes and realize they are marked at 30% off. If the original price
of the shoes is $55, what will the discounted price be?
A. $38.50
B. $53.35
c. $25.00
Answer:
A
Step-by-step explanation:
70% of 55 is 38.5
or u could do 30% of 55 = 16.5
55 - 16.5 = 38.5
Answer:
Step-by-step explanation:
Discount = 30% of 55
[tex]=\frac{30}{100}*55\\\\=0.3*55\\\\=16.5\\\\[/tex]
= $ 16.50
Price after discount = 55 - 16.50 = $38.50
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} . Find the probability of rolling a number greater than 1.
Answer:
11/12
Step-by-step explanation:
Greater than 1: 2,3.... 12
P(greater than 1) = 11/12
Answer:
11/12 or 0.91666 or 91.6%
Step-by-step explanation:
Any number above one makes up 11 out of the 12 options.
The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volume for the prism?
Answer:
The volume for the triangular prism is 40.5 cubic inches.
Step-by-step explanation:
Given:
The base of a triangular prism has an area of 18 square inches .
And the height is 4.5 inches.
Now, to get the triangular prism volume.
The base area = 18 square inches.
Height = 4.5 inches.
Now, to get the volume of prism we put formula:
[tex]Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.[/tex]
Therefore, the volume for the triangular prism is 40.5 cubic inches.
The volume of the triangular prism is 81 cubic inches.
To calculate the volume of a triangular prism, you can use the formula:
Volume = Base Area * Height
Given:
- The base area of the triangular prism is 18 square inches.
- The height of the prism is 4.5 inches.
Plug these values into the formula:
Volume = 18 square inches * 4.5 inches
Multiply these values:
Volume = 81 cubic inches
So, the volume of the triangular prism is 81 cubic inches.
which of the following equations could be used to determine the value of X
Answer:
D
Step-by-step explanation:
If the original price is x and you deduct 3, you'l have x - 3.
If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).
Then, if that value is equal to 27, you get 4(x - 3) = 27
Answer:
D
Step-by-step explanation:
We can make each part of the problem into a expression, and combine them.
Part 1: A picture frame that normally costs $x is discounted by 3.
x-3
Part 2: I decided to purchase 4 of the discounted picture frames
4(x-3)
You are buying 4, and each costs x-3.
Part 3: The total cost of the four frames, excluding tax, is $27.
4(x-3)=27
What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10
Answer:
Mean absolute deviation = 1.6.
Step-by-step explanation:
The mean = (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10
= 7.
List the differences from the mean:
4 - 7 = -3
-3
-1
-1
0
1
1
1
2
3
Sum of the absolute value of the difference
= 3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3
= 16.
So the Mean Absolute deviation = 16 / 10 = 1.6.
Robin can bake 140 cupcakes in 5 hours.
a. At this rate, how many cupcakes does she
bake per hour? (Per means one, which is a
clue that you need to find the unit rate.)
Answer:
28.
Step-by-step explanation:
28 x 5 = 140
140 divided by 28 = 5.
5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.
Answer: Per hour, Robin makes 28 cupcakes.
Step-by-step explanation:
To find the unit rate, you are essentially finding one of something. In this case you were finding out how many cupcakes you could make in ONE hour. To do this, you had to look at the information you already had. You knew that 140 cupcakes were made in 5 hours. So the fraction is 140/5. If you divide the bottom and top by five, your new equation would be 28/1.
(Vote me brainliest answer please)
Bella pushes a box to her right. In which direction does the box need to move for Bella to have done work n on it
Answer:
left
Step-by-step explanation:
if she pushes it right then she would have to push it left back to her to work on it
It needs to move to the left
Lucy has the spinner pictured and
spins it twice in a row. What is the
probability that she lands on blue
first and then on yellow or green?
Answer:
d
Step-by-step explanation:
Final answer:
To find the probability of landing on blue first and then on yellow or green, one must multiply the probability of landing on blue by the combined probability of landing on yellow or green. However, exact probabilities cannot be provided without more information about the spinner.
Explanation:
The student is asking about the probability of a sequence of events occurring with a spinner. To calculate the probability of landing on blue first and then on yellow or green on the second spin, we must first know the individual probabilities of landing on each color. Assuming the spinner is fair and has equal sections for each color, the probability of landing on blue on the first spin (P(B)) and the probability of landing on yellow (P(Y)) or green (P(G)) on the second spin need to be calculated separately.
The probability of two independent events occurring in sequence is the product of their individual probabilities. Therefore, if the probability of landing on blue first is P(B), and the combined probability of landing on either yellow or green on the second spin is P(Y or G), then the total probability of the sequence is P(B) multiplied by P(Y or G). However, without the exact probabilities or a clear description of the spinner, we cannot provide a numerical answer.
The restaurant bill was $28 after tax. If you wanted to leave a 8% tip, how much should you leave total?
Which expressions are equivalent to t = 2( -h - 3)
A t = - 6 - 2h
B t = 4h -6h - 6
C t = - 2h - (-6)
D t = - (6 + 4h)
Function- f(x)=-x^2+4x+6
What is the positive difference between the maximums of functions g and f?
Answer:
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
we have
using a graphing tool
see the attached figure
For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function
so
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
The positive difference between the maximums of functions g and f is 2
What is the positive difference between the maximums of functions g and f?From the question, we have the following parameters that can be used in our computation:
f(x) = -x² + 4x + 6
So, the x of the vertex is
x = -4/2 * -1
x = 2
So, the maximum is
Max = -2² + 4(2) + 6
Max = 10
From the graoh, we have
Max = 12
So, we have
Difference = 12 - 10
Difference = 2
Hence, the positive difference is 2
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Two rectangular pyramids were joined at their bases to form the composite figure. One pyramid has 2 triangular sides with a base of 15 centimeters and height of 16.4 centimeters, and 2 triangular sides have a base of 10 centimeters and height of 17.3 centimeters. The other pyramid has 2 triangular sides with a base of 15 centimeters and height of 23.8 centimeters, and 2 triangular sides with a base of 10 centimeters and height of 24.4 centimeters. What is the surface area of the figure? 1,020 cm2 1,175 cm2 1,325 cm2 2,050 cm2
Answer:
A) 1020 cm²
Step-by-step explanation:
8 sides
2[(½×15×16.4) + (½×10×17.3) + (½×15÷23.8) + (½×10×24.2)]
2(510)
1020 cm²
Answer:
1020 cm²
Step-by-step explanation:
A = 2×15×16.4/2 + 2×10×17.3/2 + 2×15×23.8/2 + 2×10×24.4/2
= 15×16.4 + 10×17.3 + 15×23.8 + 10×24.4
= 246 + 173 + 357 + 244
= 1020 cm²
A rectangle has a height of 5 and a width of 4x2 – 2x – 6.
Express the area of the entire rectangle
Expression should be expanded.
Answer:
The area of the rectangle is given by the expression "20x² - 10x - 30".
Step-by-step explanation:
The area of a rectangle is given by the product of it's dimensions. This is shown in the formula bellow:
area = width*height
In this case the width is an expression, so we need to multiply the numeric part of each mnemonic
area = 5*(4x² - 2x - 6)
area = 20x² - 10x - 30
The area of the rectangle is given by the expression "20x² - 10x - 30".