Answer:
x-2)(3x-4
Step-by-step explanation:
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 eitherA 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".
plz help Which statements are true about the circle shown below? Select three options.
A circle with diameter 8 centimeters.
The diameter is 8 cm and the radius is 16 cm.
The circumference of the circle in terms of Pi is 8 pi.
If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.
The circumference of the circle rounded to the nearest whole number is 20 cm.
If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm.
Answer:
The circumference of the circle in terms of π is 8π.
If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.
If π is approximated to 3.14, the circumference of the circle is 25.12 cm.
Step-by-step explanation:
The circumference of the circle = 2*π*r
r = radius
r = d/2
r= 8cm/2 = 4cm
π = 3.14
The circumference of the circle = 2π(4)= 8π , so we have:
The circumference of the circle in terms of π is 8π.
Using pi = 22/7, we have:
The circumference of the circle = 2* 22/7 * 4 = 8* 22/7 = 25.14 cm, so we have:
If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.
Using pi = 3.14, we have:
The circumference of the circle = 2* 3.14 * 4 = 8* 3.14 = 25.12 cm, so we have:
If π is approximated to 3.14, the circumference of the circle is 25.12 cm.
Here we want to see which statement is correct about a circle with a diameter of 8cm.
The correct options are
"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."Things that we must know about circles:
We know that for a circle of diameter D:
The radius is half the diameter, so R = D/2The circumference is pi times the diameter, so C = pi*DThe area is pi times the radius squared: A = pi*R^2So our circle of diameter of 8cm has:
Radius R = 8cm/2 = 4cmCircumference C = pi*8cm = 3.14*8cm = 25.12cmArea A = pi*(4cm)^2 = pi*16cm^2And if pi = 22/7, the circumference is:
C = (22/7)*8cm = 25.14cm
Then the correct statements are:
"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."If you want to learn more about circles, you can read:
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The restaurant bill was $28 after tax. If you wanted to leave a 8% tip, how much should you leave total?
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
What is the solution to the system of equations 2x + 3y = 40 and y = x + 10?
x = 2; y = 12
x = 4; y = 14
x = 12; y = 2
x = 14; y = 4
Answer:
x=2, y=12
STEP BY STEP-
Replace the Y in 2x+3y=40 for X+10, because y=x+10. You now have 2x+3(x+10)=40. Now multiply the X and the 10 by 3, so you have 2x+3x+30=40. Combine like terms to get 5x+30=40. Subtract the 30 on both sides so you get 5x=10. Divide by 5 and that gives you the solution for X (2). Then, plug 2 in for X in the equation y=x+10. You now have Y=2+10. Combine like terms and you get 12, so Y=12.
Sorry that I'm so bad at explaining things
Final answer:
Substitute y = x + 10 into 2x + 3y = 40, simplify to 5x = 10, solve for x, then substitute x into the second equation to find y. The solution is x = 2 and y = 12.
Explanation:
The solution to the system of equations 2x + 3y = 40 and y = x + 10 can be found by substituting the second equation into the first. This is a common method for solving systems of linear equations, which involves elimination and substitution. We substitute y from the second equation into the first to get 2x + 3(x + 10) = 40, which simplifies to 2x + 3x + 30 = 40. After combining like terms, we have 5x = 10, which gives us x = 2. We then substitute x back into the second equation to find y. If x = 2, then y = 2 + 10, which means y = 12.
If 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.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)
How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain.
Answer:
2
Step-by-step explanation:
To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!
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.
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.
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.
1)
The aquarium shown has a capacity of 16.8 gallons of water.
How many quarts of water will the aquarium hold? (to a tenth of a quart)
A) 4.2 gallons
B) 33.6 quarts
C) 67.2 quarts
D) 134.4 quarts
2)
How many pints of water will the aquarium hold? (to a tenth of a pint)
A) 33.6 pints
B) 67.2 pints
C) 134.4 pints
D) 268.8 pints
Answer:
Both are C.
Step-by-step explanation:
16.8 gallons of water is equal to 67.2 quarts and 134.4 pints.
Final answer:
To convert gallons to quarts, multiply the number of gallons by 4, which gives us 67.2 quarts (Option C). To convert gallons to pints, multiply the number of gallons by 8, resulting in 134.4 pints (Option C).
Explanation:
The question pertains to converting units of volume from gallons to quarts and pints. Given that the aquarium has a capacity of 16.8 gallons and knowing that there are 4 quarts in a gallon, we multiply 16.8 by 4 to find the capacity in quarts:
16.8 gallons × 4 quarts/gallon = 67.2 quarts
Next, to find the number of pints, we consider that there are 8 pints in a gallon (since each quart is equivalent to 2 pints, and there are 4 quarts in a gallon). Thus, we multiply:
16.8 gallons × 8 pints/gallon = 134.4 pints
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.
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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Solve -2/3n<16 which of the following must be true about the inequality and the resulting graph? Select three options.
A. n < -24
B. n > -24
C. The circle is open
D. The circle is closed
E. The arrow points right.
Answer:
n > -24 The circle is open. The arrow points right.
Step-by-step explanation:
To solve for n, divide both sides by -2/3.
When you divide an inequality by a negative number, reverse the inequality.
Here < becomes >.
Dividing by a fraction is done by multiplying by its reciprocal.
16 ÷ -2/3 becomes 16 × -3/2. That's -24.
The open circle means not equal to.
n is all the numbers greater than -24, so the arrow points right.
Answer: b d e
Step-by-step explanation:
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
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
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.
____ numbers are useful in solving math problems with money
Answer:
Step-by-step explanation:
Decimal numbers
Answer:
Real
Step-by-step explanation:
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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What is the slope of y = -4?
Write an equation in slope-intercept form of the line with the given parametric equations,
x = 8t+3
y= 9t+3
The equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].
Step-by-step explanation:
Given,
x = 8t+3
y= 9t+3
First, convert both the equations in terms of t for comparison.
x = 8t + 3
x - 3 = 8t
t = [tex]\frac{x-3}{8}[/tex]
Similarly,
y = 9t + 3
y - 3 = 9t
t = [tex]\frac{y-3}{9}[/tex]
Now, comparing both equations
[tex]\frac{x-3}{8}[/tex] = [tex]\frac{y-3}{9}[/tex]
9x -27 = 8y -24
9x - 3 = 8y
or
y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex]
Hence, the equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].
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
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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solve for x. log 10x=5.7
Answer:
0.57
Step-by-step explanation:
10x0.57=5.7
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
Which statements are true regarding the area of circles and sectors? Check all that apply.
The area of a circle depends on the length of the radius.
The area of a sector depends on the ratio of the central angle to the entire circle.
The area of a sector depends on pi.
The area of the entire circle can be used to find the area of a sector.
The area of a sector can be used to find the area of a circle.
Answer:
A, B, D, E
Step-by-step explanation:
Got it right on edge
The area of a circle depends on the length of the radius.
What is a circle?A circle is the locus of a point such that its distance from a fixed point known as center is always constant.
Area of a circle = π * radius²
Area of a sector = (central angle / 360) * π * radius²
Hence:
The area of a circle depends on the length of the radius.The area of a sector depends on the ratio of the central angle to the entire circle.The area of the entire circle can be used to find the area of a sector.The area of a sector can be used to find the area of a circle.Find out more on circle at: https://brainly.com/question/24375372
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