in a class, the ratio of boys to girls is 8 to 5. if there are 75 girls in the class, how many boys are there in the class? process pls

Answer:

Step-by-step explanation:

Width: x

Length: x + 3

Height: x + 3 + 4 = x + 7

Volume of prism = area of cross section x length

Area of cross section = width x height = x ( x + 7 ) = x² + 7x

Volume = (x + 4) x (x² + 7x)

= x³ + 7x² + 4x² + 28x

= x³ + 11x² + 28x

The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].

Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.

We know that volume of rectangular prism is L*B*H.

We have been given that width is x cm.

According to question length will be x+3,

Height will be x+3+4

=x+7

Volume will be =x(x+3)(x+7)

Multiply the expressions,

=x([tex]x^{2}[/tex]+3x+7x+21)

=x([tex]x^{2}[/tex]+10x+21)

=[tex]x^{3} +10x^{2} +21x[/tex]

Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].

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Options:

Answer:

Certificate of Deposit

Step-by-step explanation:

Required

Which of the given options has the highest interest rate

To do this, we have to list out the interest rates of each of the given accounts:

So, by comparison:

Juan will earn more if he uses Certificate of Deposit

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

Answer:

b on edg

Step-by-step explanation:

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

Step-by-step explanation:

answer isx2 + 3x + 2.

Answer:

Step-by-step explanation:

let the numbers be 7x,y,y,y.

7x+3y=36

3y=36-7x

[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]

numbers are 7×3,5,5,5

or 21,5,5,5

21×5×5×5=2625

Answer:

-52/7

Step-by-step explanation:

Dont care just do it or check it

Answer:

5

Step-by-step explanation:

Answer: 5 hours  

Step-by-step explanation:

Carl paid $58 dollars in total and this included the fixed dollar fee and the variable amount of $9.

To find the number of hours, first deduct the fixed component:

= 58 - 13

= $45

$45 was spent as a result of hourly fee. The number of hours is therefore:

= Total hourly cost/ Cost per hour

= 45 / 9

= 5 hours  

Answer:

all have domain of real numbers

Step-by-step explanation:

Answer:

5/13 pal, the first one,,,,

Answer:

Step-by-step explanation:

12:20:28 = 3:5:7

(30 cm):(50 cm):(70 cm) = 3:5:7

Answer:

f(−18)=−8

khan academy

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Answer: 1.44pi

Step-by-step explanation:

Answer:

y = -2x - 5

Step-by-step explanation:

First rewrite the second equation into y = mx + b format:

x - 2y = 14  

2y = x - 14

y = x/2 - 14/2 (Divide both sides by 2)

y = 1/2x - 7

A line perpendicular to another has the negative reciprocal slope

So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)

Plug in the points (-1, -3) for the x and y coordinates.

x (x coordinate) = -1

y (y coordinate) = -3

slope (m) = -2

-3 = -1(-2) + b

-3 = 2 + b

-3 - 2 = b

b = -5

The equation of the line is y = -2x - 5. Hope this helps! :)

Answer:

y = -2x - 5  or 2x + y = -5

Step-by-step explanation:

Let's find the slope of the given line.  

-2y = -x + 14

y = 1/2(x) -7

m = 1/2

The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2

Now use the point-slope form of a line

y + 3 = -2(x + 1)

y + 3 = -2x - 2

y = -2x - 5  or 2x + y = -5

Answer:

the length of PQ is 8.9 m

Step-by-step explanation:

The computation of the length of PQ in meters is shown below:

Here we applied the Pythagoras theorem

c² = a² + b²  

 = 4² + 8²

 = 16 + 64

= 80

Now square root to the both sides

c = √80

=  8.94427191

= 8.9 m

Hence, the length of PQ is 8.9 m

Answer:

(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox

Since both the yard and the sandbox has a rectangular shape, then;

Area of a rectangle = length x width

So that,

Area of the yard = length x width

                            = (6x+7) x 8x

                            = (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]

Area of the sandbox = length x width

                                  = (x+6) x 5x

                                  = (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]

Thus,

Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)

                                = 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x

                                = (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]

Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].

Answer:

C= 93⁰, B= 64⁰, D= 23⁰

Step-by-step explanation:

180= (4x + 1) + (3x - 5) + x⁰

180= 4x+1 +3x-5 +x

180= 8x - 4

184= 8x

184/8= x

23=x

therefore

C= (4(23) +1)

C= 93

B= (3(23)-5)

B= 64

D= 23

93⁰+64⁰+23⁰=180⁰

Answer:

The code for that is 439.8

Answer:

The SSS theorem

Step-by-step explanation:

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since AB and CD were shown to be congruent in the image, and AC and CA are congruent because they're shared. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know ∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

Answer: 71 children ate hotdogs at the picnic.

Step-by-step explanation:

Given: About 32% of the 104 children who ate a school picnic ate hamburgers.

The number of children ate hamburger = 32% of (104 children)

= 0.32 x 104

= 33.28 ≈ 33

Thus, the number of children ate hamburger = 33

Number of children ate hotdogs = 104-33 = 71

Hence, 71 children ate hotdogs at the picnic.

Answer:

C = 3n

Step-by-step explanation:

Given that,

The fabric is $3 times the number of yards of fabric n.

We need to find an equation that gives the total cost c of n yards of fabric.

It means, the total cost of n yards of fabric is given by :

C = 3n

Where

n is yards of fabric.

Answer:

254.47

Step-by-step explanation:

1/4[tex]\pi[/tex]d^2

Answer: 36

Step-by-step explanation: multiply 2 6 and 3

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Answer:

Answer:

Step-by-step explanation:

THE ANSWER IS 200 , 30, Y=50+0.30X, Y=200+ 0.50X

The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

EXPLANATION

The equation given can be express as

y = 0.25x + 50

y = 0.30x + 40

Since, both equations are functions

Equate the two functions together

0.25x + 50 = 0.30x + 40

Collect the like terms

0.25x - 0.30x = 40 - 50

x(0.25 - 0.30) =-10

x(-0.5) = -10

-0.5x = -10

Divide both sides by -0.5

-0.5x / -0.5 = -10/-0.5

x = 10/0.5

x = 20

When collecting the like terms, we isolate values with the same variables from values with a different variables.

If a positive sign crosses an equality sign it automatically becomes a negative sign and if a negative sign crosses an equality operator it automatically becomes a positive sign.

Hence, The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.

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complete question:

Y=0.25x +50=0.30x+ 40 how would I get x=20?

Answer:

c. [tex]\sqrt{13}[/tex]

Step-by-step explanation:

the 13 will have an ongoing decimal

Answer:

The irrational number is C

Step-by-step explanation:

C can't be written as a rational number because it cannot be written as a fraction (n/d)