8(x + 3 x) = 40
8( ) = 40

Answer: Yes it is The simplified form is explained easily.

Answer:

Answer:

The van can carry 8 students

The bus can carry 52 students

Step-by-step explanation:

Assume that the number of students in each van is v and the number of students in each bus is b

∵ The senior class at Downingtown rented and filled 14 vans and

   7 buses with 476 students

∵ The number of students in each van is v

∵ The number of students on each bus is b

∴ 14v + 7b = 476 ⇒ (1)

∵ West Chester HS rented and filled 7 vans and 11 buses with

   628 students

∴ 7v + 11b = 628 ⇒ (2)

Let us solve this system of equations to find v and b

→ Multiply equation (2) by -2 to make the coefficients of v equal in

  the values and different in the signs

∵ -2(7v) + -2(11b) = -2(628)

∴ -14v - 22b = -1256 ⇒ (3)

→ Now add equations (1) and (3) to eliminate v

∴ -15b = -780

→ Divide both sides by -15

∴ b = 52

→ Substitute the value of b in equation (1) to find v

∵ 14v + 52(7) = 476

∴ 14v + 364 = 476

→ Subtract 364 from both sides

∴ 14v = 112

→ Divide both sides by 14

∴ v = 8

The van can carry 8 students

The bus can carry 52 students

Answer:

Step-by-step explanation:

The price for printing 700 cards is $15+$700/25 = $43.

Explanation:

We need to MODEL the cost based on the number of cards printed. We will assume that there is a FIXED price

F

for any job (to pay for setup etc.) and a VARIABLE price

V

which is the price to print a single card. The total price

P

will then be

P

=

F

+

n

V

where

n

is the number of cards printed. From the problem statement we have two equations

Equation 1:

23

=

F

+

200

V

and

Equation 2:

35

=

F

+

500

V

Let's solve Equation 1 for

F

F

=

23

−

200

V

and substitute this value for

F

into Equation 2.

35

=

23

−

200

V

+

500

V

Now solve this for

V

.

12

=

300

V

V

=

1

25

We can put this value for

V

into Equation 1 and solve for

F

.

23

=

F

+

200

25

F

=

15

So our model equation is

P

=

15

+

n

25

.

Let's check our answer with the data in the problem.

15

+

200

25

=

23

15

+

500

25

=

35

So we have the correct model equation.

Now use the model to predict the price of printing 700 cards.

15

+

700

25

=

43

.

The price for printing 700 cards is $43.

Note that the price for printing 700 cards is NOT the same as the price for printing 200 cards plus the cost for printing 500 cards! See if you can figure out WHY?

Answer:

Step-by-step explanation:

1. x - 2 = 0 and x -9 = 0 are the individual equations for the factors (x-2)(x-9) = 0 set equal to zero in order to find the solutions.

2. x = 2 would make (x-2) = 0 true and x = 9 would make (x-9) true.

3. If you plug the x-value back into the equation, it should equal zero.

4. The solutions to the equations are the opposite signs of the integers in parenthesis because they are the zeroes (solved for x).

5. No because x-2 = 0 and x-9 = 0 give you the zeroes, while the other equation indicates distribution.

6. (x-2)(x-6) = 0 are the factors. The zeroes, 2 and 6 are the solutions to them.

Answer:

X  0  1   2  3

Y  1   2  3  4

X  0  1   2  3

Y  3  1  -1  -3

Answer:

$216-

Step-by-step explanation:

Answer:

I think it's B

Step-by-step explanation:

The width, is 4, multiplied by the height, which is 5. You then take the square root of that number and voila.

Answer:

90°

Step-by-step explanation:

Since triangles ABC and XYZ are congruent, the corresponding angles are equal. m<A=50°, m<Z=m<C=40°

In a triangle, all internal angles sum upto 180°

m<A+m<B+m<C = 180°

50°+m<B+40°=180°

m<B=180°-90°=90°

Answer:

x ≥ 3

Step-by-step explanation:

Answer:

07(8 + 3) is the right answer

Answer:

0.375 :) hope this helps btw use desmos to answer questions like that it will help i promise:)))) btw may i have brainly?

Step-by-step explanation:

Answer:

$120

Step-by-step explanation:

Formula of simple interest: I = P x R x T / 100

P (investment) = $500

R (rate) = 6%

T (time) = 4 years

500 x 6 x 4 = 12000 / 100

I = $120

Your answer is 3a - 11

If this isn't correct then I must've messed something up, but it should be right.

Answer:

2.70 maybe\

Step-by-step explanation:

Answer:

the answer is c

there you go bud

Answer:the work has a virus

Step-by-step explanation:

Answer:

option H, 130°

Step-by-step explanation:

In order to find the measure of ∠ACD, first find the measure of ∠ACB

∠ACB + ∠ABC + ∠BAC = 180° (angle sum property of a triangle)

∠ACB + 95° + 35° = 180°

∠ACB + 130° = 180°

∠ACB = 180° - 130°

∠ACB = 50°

∠ACD + ∠ACB = 180° (linear pair)

∠ACD + 50° = 180°

∠ACD = 180° - 50°

∠ACD = 130°

therefore, option H is the correct option

hope it helps you!

Answer:

Equation: y = 8/3x - 2/3

y-intercept: -2/3

x-intercept: 1/4

Hope this helps and have a great day :)

And please mark me brainliest if you can :)

Answer:

(-infinity, +infinity)

Step-by-step explanation:

Looking at the graph does it ever really end?

This would conclude that there is a infinite value of X’s and Y’s which then gets you the infinite range of (-infinity, +infinity).

Answer:

y = 15

Step-by-step explanation:

=> x = 3

=> y = 6x - 3

=> y = 6(3) - 3

=> y = 18 - 3

=> y = 15

Ratio of butter to flour that is to be used for making pie dough is :-

[tex] = \frac{2}{3} : 1 \frac{3}{4} [/tex]

Number of cups of flour I am using = 7 cups of flour

Number of cups of butter I need to use :-

Let x be the quantity of butter needed .

[tex] = \frac{2}{3} : \frac{7}{4} :: x : 7[/tex]

[tex] = \frac{2}{3} \times 7 = \frac{7}{4} x[/tex]

[tex] = \frac{14}{3} = \frac{7}{4} x[/tex]

[tex] = \frac{7}{4} x = \frac{14}{3} [/tex]

[tex] = x = \frac{14}{3} \div \frac{7}{4} [/tex]

[tex] = x = \frac{14}{3} \times \frac{4}{7} [/tex]

[tex] = x = \frac{56}{21} [/tex]

[tex] = x = \frac{8}{3} [/tex]

Therefore , this recipe would need :-

[tex] \frac{8}{3} \: or \: 2 \frac{2}{3}\: cups \: of \: butter \: .[/tex]

Answer:2&2/3

Step-by-step explanation:

Answer:

(-2,-3)

Step-by-step explanation:

You place your points in (X1, Y1) and X2, Y2) format

You'll line your numbers up as

2-1 divide it by -1-(-1)

You'll get your answer.

Answer:

b = -4

Step-by-step explanation:

In y =mx+b form, the y-intercept is b, which in this case is -4.

The power of the input variable, x, of the function is 1, therefore, the

function is a linear function.

Correct response:

The function defining the line is; y = 6·x - 4

The function is a linear equation of the form; y = m·x + c

Where;

m = The slope

c = The y-intercept

By comparison, we have;

The y-intercept can also be obtained as follows;

The y-intercept is the value of the function when x = 0

Therefore;

Learn more about linear equations here:

https://brainly.com/question/3889458

9514 1404 393

Answer:

  i

Step-by-step explanation:

The square root of -1 is the number that, when multiplied by itself, gives the product -1. It does not have a numerical value in the same way that the root of a positive number has a numerical value. It can only be represented by a symbol of some sort: √(-1) or i.

  i² = -1

In some fields, the letter j is used instead (because i already stands for something different).

  i = √(-1)

  j = √(-1) . . . in electrical engineering (at least)

Answer:

y=45x+200

Step-by-step explanation:

he is paying 45 dollars an hour plus the 200 dollar flat fee

Answer:

In 15 games the score would be 90 points.

Answer:

90

Step-by-step explanation:

60÷10=6,averaging 6 points a game, 6×15=90

Answer:

20 dollers and 50 cents

Answer:

D. $6,423.20

Step-by-step explanation:

You have to pay $6,423.20 for seven such bonds.

Answer:

d

Step-by-step explanation: