The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?

With the help of sets we can conclude our answer.

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Answer:1

Step-by-step explanation:

The answer is one because the graph starts at 12$ and Wallace only needs $8.

Answer:

he read 4940 pages in a year

Step-by-step explanation:

Given data:

1 year= 52 weeks

1 book= 95pages (takes 1 week to complete)

for 1 year = 52x95

                =4940

Answer:

x=-3

Step-by-step explanation:

The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values

The value of the three consecutive integers will be 10, 11, and 12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Three consecutive integers are such that three times the smallest is 18 more than the largest.

Let the three consecutive number be x, x + 1, and x + 2. Then the equation will be:

3x = (x + 2) + 18

Simplify the equation, then the value of the variable x will be:

3x = x + 2 + 182x = 20x = 20 / 2x = 10

Then the value of the integers will be:

x + 1 = 10 + 1 = 11x + 2 = 10 + 2 = 12

The value of the three consecutive integers will be 10, 11, and 12

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Answer:

57

Step-by-step explanation:

Straight line is 180 degrees

x+2x+9=180

3x=171

x=171/3

x=57

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's express P (principle) in terms of I, R and T

[tex]\qquad \sf  \dashrightarrow \: I= \dfrac{PRT}{100} [/tex]

[tex]\qquad \sf  \dashrightarrow \: PRT = I \sdot 100[/tex]

[tex]\qquad \sf  \dashrightarrow \: P = \dfrac{I \sdot 100}{RT} [/tex]

and that's it ~

P can be expressed in terms of I, R, T as P=100×I / (R×T)

Given equation

I=PRT/100

100 × I = PRT

100 × I / RT = P

P = 100 × I / RT

This formula is used to calculate Simple Interest, where P= Principal, I= Intrest to be Calculated. R= Annual rate of interest, T= Time (in years). Here one will shift the 100 from the denominator and multiply with the I next we will move the rate and time from the numerator to the denominator. The equation we now get will be in terms of I, R, and T and one can find the Principal using this equation.

I hope this answer helps.

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With the help of standard deviation we can conclude our answer.

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Answer:

Y = 2x+8

Step-by-step explanation:

Y=mx=b equations

To solve f(1)+h(1) .....

plug in 1 for x in both equations f(x) and h(x):

f(1)=2(1)²+3(1)-4 = 2+3-4 = 1

h(1)= -(1)²+8 = -1+8 = 7

f(1)+h(1) = 1 + 7 = 8

Hope it helps!

The fraction of the surface of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-[tex]\frac{13}{27}[/tex]= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer

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The fraction of the surface area of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-(13/27)

= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer.

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Accupunture is best these days for medication and health therapy.

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Answer:

it depends on how long long is

Answer:

sum= 1080

Step-by-step explanation:

Answer:

The sum of an octagon is always 1080 degrees. The interior angles are usually all equal to 135 degrees, but this is an irregular octagon, making that not the case. Because the angles are not all equal, that does not mean that the octagon's sum is any different. Thus, the sum of the interior angles is 1080 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

x2-36=0

+36       +36

x2=36

/2     /2

x=18

Answer:  The solution to this system is (1,3) as shown in the graph below.

Step-by-step explanation:

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NOTE: The red line is -x+y=2 and the blue line is y=3

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

Answer:

12% of men are left handed.

Step-by-step explanation:

Percent of men who are left handed =

325×100=3×4=12 3 25 × 100 = 3 × 4 = .

                  12%

I hope this helps!

We have : (a+b)^2 = a^2 + 2ab + b^2.

So, we can see here : the first term (3x) is a, the second term (a) is b.

For it to be expanded as such, the second term in the bracket must be equal to a^2 when it is squared.

Therefore, the missing term is a.

Recheck : (3x + a)^2 = (3x)^2 + 2.3x.a + a^2 = 9x^2 + 6ax + a^2.

The equation y = 10.5x - 5 is proportional

Given,

y = 10.5x - 5

We have to find this equation is proportional or not.

In mathematics, proportional relationships exist when two variables consistently change by the same multiple. The formula y = kx, where k is a constant multiplier that depicts the relationship between x and y, is used to represent proportional relationships. The line on the graph is always straight and goes through (0,0).

Here,

y = 10.5x - 5

10.5 is the constant multiplier that depicts the relationship between x and y.

So,

The equation y = 10.5x - 5 is proportional

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Answer:

13

Step-by-step explanation:

416/96 = 4.33333

416 is 4.333 times 96, so he needs 4.333 times 3 bundles.

4.3333 × 3 = 13

Answer: 13

Answer:

13

Step-by-step explanation:

you see how much it covers initially. (96/3=32) then 416/32=13

50 miles because of the miles

The larger bulldozer would take about 30 minutes.

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Answer:

x < -9

Step-by-step explanation:

2x + 4 < -14

Solve for "x"

Subtract 4 from both sides

2x + 4 < -14

2x + 4 - 4 < -14 - 4

Simplify

Subtract all the numbers

2x + 4 - 4 < -14 - 4

2x < -14 - 4

2x < -18

Divide both sides by the same factor

2x < -18

[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]

Simplify

Cancel the terms that are in both numerator and denominator

[tex]\frac{2x}{2}[/tex] < [tex]\frac{-18}{2}[/tex]

x < [tex]\frac{-18}{2}[/tex]

Divide

[tex]x < \frac{-18}{2}\\ x < -9[/tex]

The answer is [tex]x < -9[/tex]

Answer:i had forgot

Step-by-step explanation:

Answer:4

Step-by-step explanation:

u add den subtract den divide then there

110 additional miles he will have to drive .

To calculate : additional miles qiang will have to drive

Let the additional no. of miles he has to drive be x .

⇒ Total Distance = 15 + x

    Total Time ( in hrs ) = ( 15 / 30 ) + ( x / 55 ) = ( 1 / 2 ) + ( x / 55 )

The equation becomes ,

[ ( 15 + x ) ] / [ ( 1 / 2 ) + ( x / 55 ) ] = 50

On simplification we get ,

15 + x = 25 + ( 10x / 11 )

x = 110

Therefore , 110 additional miles he will have to drive .

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Jodie has left 13.79 seconds to match the record.

What is a linear equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Here, we have

Jodie aimed to beat Mandy's 74.6-second mark on the obstacle course. She had already spent 10.56 seconds on the ropes and fifty-and-a-fourth seconds ascending the wall. To match the record, we must determine how much time she had remaining.

Jodie's total time for climbing the wall is fifty and one fourth seconds=50.25 seconds

The total time on ropes is 10.56 seconds

The total time she spent is 50.25+10.56=60.81

Left time = Record Time-Spent time

= 74.6-60.81 = 13.79

Hence, Jodie has left 13.79 seconds to match the record.

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The total area of the shape that is formed by the two congruent parallelograms is: 721 cm².

To find the total area of the shape that is formed by the two congruent parallelograms, calculate the area of each face, then add all together.

The shape formed consist of:

Area of the 2 identical parallelograms:

Base = 15 cm

Height = 11 cm

Area = 2(15 × 11) = 330 cm²

Area of the 2 identical right triangles:

Base = 11 cm

Height = 11 cm

Area = 11 × 11 = 121 cm²

Area of the rectangle = length × width = 18 × 15 = 270 cm²

Total area of the shape = 330 + 121 + 270

Total area of the shape = 721 cm²

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The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

By the similar triangle, then the value of r is calculated as,

r/30 = 20/40

r = 15 cm

Then the volume of the frustum is calculated as,

V = 1/3 × (30/2)² × 40 - 1/3 × (15/2)² × 20

V = 1/3 × [9000 - 1125]

V = 1/3 × 7875

V = 2625 cm³

The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.

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a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.

Here are the three functions given:

f(x) = x -4

g(x) = 2x + 2

c(x) = x + 1

a) The product of function f(x) and g(x)

f(x). g(x) = (x -4). ( 2x + 2)

= x( 2x + 2) - 4(2x + 2)

= 2x² + 2x - 8x - 8

= 2x² - 6x -8

b) product of function f(x). g(x) and a(x)

f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)

= x( 2x² - 6x - 8) + 1(2x² -6x - 8)

= 2x³ - 6x² -8x + 2x² - 6x -8

= 2x³ -4x² - 14x - 8

Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.

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