5x + y = 9 10x − 7y = −18

Help with this :))))))))))))

faltersainse [42]

Answer:

24

Step-by-step explanation:

120/6=20

300/15=20

360/18=20

480/20=24

Check:

480/24=20

6 0

3 years ago

Read 2 more answers

What is the answer? *i don’t understand it*

Alex_Xolod [135]

Answer:

A: x^5/2

Step-by-step explanation:

When a power is a fraction the denominator is a root multiplier.

8 0

3 years ago

Read 2 more answers

Raymond wants to make a boxer has a volume of 360 in.³ he wants the height to be 10 inches and the other two dimensions to be wh

QveST [7]

Volume = base area x height
360 = base area x 10
base area = 360 ÷ 10
base area = 36 in²

Possible dimensions :
1 x 36
2 x 18
3 x 12
4 x 9
6 x 6

There are 5 different size boxes that he can make.

8 0

4 years ago

From a thin piece of cardboard 50 in. by 50 in., square corners are cut out so that the sides can be folded up to make a box. Wh

mixer [17]

Answer:

When dimension of box is 33.33 inches × 33.33 inches ×8.33 then its volume is maximum and is 9259.26 cubic inches.

Step-by-step explanation:

Let h be the length (in inches) of the square corners that has been cut out from the cardboard and that would be the height of the cardboard box.

Since the squares have been cut from cardboard, both sides of the cardboard would reduce by 2h.

Thus, The dimension of box is (50 – 2h) × (50 – 2h) × h in dimensions.

The volume V of rectangular box = (Length × Breadth × Height) cubic inches.

$V=(50-2h) \times (50-2h) \times h$

$V=(50-2h)^2 \times h$ ..............(1)

Using $(a-b)^2=a^2+b^2-2ab$

$V=h(2500+4h^2-200h)$

$V=2500h+4h^3-200h^2$

For obtaining a box of maximum volume, maximize V as a function of h.

Differentiate both sides with respect to h,

$\frac{dV}{dh}=2500+12h^2-400h$

$\frac{dV}{dh}=4(625+3h^2-100h)$

Solving quadratic equation, $625+3h^2-100h$

$\frac{dV}{dh}=4(3h^2-25h-75h+625)$

$\frac{dV}{dh}=4(h(3h-25)-25(3h-25))$

$\frac{dV}{dh}=4((h-25)(3h-25))$

For maximum, $\frac{dV}{dh}=0$

thus, $4((h-25)(3h-25))=0$

⇒ $h= 25$ or $h=\frac{25}{3}$

Now check (1) for $h= 25$ and $h=\frac{25}{3}$ .

$h= 25$ is not possible as when h is 25 inches then length and breadth becomes 0.

When $h=\frac{25}{3}$ .

(1) ⇒ $V=(50-2(\frac{25}{3}))^2 \times\frac{25}{3}=9259.2592593$

This is the maximum volume the box can assume.

Thus, when dimension of box is 33.3 inches × 33.3 inches ×8.3 then its volume is maximum and is 9259.26 cubic inches.

6 0

3 years ago

Which equation hasd a graph parallel to the graph of 9x+3y=-22

tatyana61 [14]

Answer:

b - any real number

Step-by-step explanation:

Parallel lines have the same slope.

We have the equation of a line in the standard form Ax + By = C.

Convert to the slope-intercept form y = mx + b

m - slope

b - y-intercept

$9x+3y=-22$ subtract 9x from both sides

$3y=-9x-22$ divide both sides by 3

$y=-3x-\dfrac{22}{3}$

Therefore we have the slope m = -3.

Put it to the equation of a line:

$y=-3x+b$ add 3 to both sides

$3x+y=b$

7 0

4 years ago