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3 years ago

Solve each system by substitution. y = -4x - 18 y = -3x - 13

Mathematics

1 answer:

evablogger [386]3 years ago

7 0

Answer:

x=5 and y=2

Step-by-step explanation:

hope it will enough to explain u .... if anything extra needed then ask me in comment section

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

3 years ago

Find the area of the shaded circle.give your answer in 3 significant numbers

DENIUS [597]

Answer:

116 cm²

Step-by-step explanation:

The area of a circle = πr² ← r is the radius

shaded area = external area - internal area

= π × 6.5² - π × 2.3²

= π( 42.25 - 5.29)

= π × 36.96 ≈ 116 cm²

4 0

3 years ago

Read 2 more answers

Multiply (2x^3 + 1)(5x^2 +4) and write your result in simplest form.

tatyana61 [14]

(2x^3)*(5x^2)+(2x^3)*(4)+(1)*(5x^2)+(1)*(4)
10x^5+8x^3+5x^2+4

8 0

3 years ago

You put a frozen pizza in the microwave. Let T(m) be the function that represents the temperature in F of the pizza after m minu

gulaghasi [49]

i would say that the answer is C

5 0

3 years ago

2 lb 6oz = ________lb

krok68 [10]

2.6 lb

Hope this helps!

5 0

3 years ago

Solve each system by substitution. y = -4x - 18 y = -3x - 13​

Solve each system by substitution. y = -4x - 18 y = -3x - 13