How many solutions does this system

If carla does 25 jumping jacks 3 times per day how many jumping jacks will she do in 7 days?

ryzh [129]

How many jumping jacks does carla do in one day?
carla does 25 jumping jacks 3 times per day

25 + 25 + 25 = 75 jumping jacks per day

carla does 75 jumping jacks per day, how many will she do in 7 days?

7 x 75 = 525

Carla will do 525 jumping jacks in 7 days

5 0

3 years ago

Read 2 more answers

What is the completely factored form of d4 - 8d2 + 16?. A) (d2 + 4)(d2 - 4). B) (d2 - 4)(d2 - 4). C) (d2 + 4)(d + 2)(d - 2). D)

Wittaler [7]

For a quadratic equation, the negative of the numerical coefficient of the second term is the sum of the roots and the constant is their product. Let a and b be the roots such that,
a + b = 8
ab = 16
The values of a and b are 4 and 4. Such that the factors are,
(d² - 4)(d² -4)
Both the factors are difference of two squares. The final answer for this item is,
(d + 2)(d - 2)(d + 2)(d - 2)

This is letter D.

8 0

4 years ago

-5x+y=-10 and -4x-y=-26

Bad White [126]

<h2>Answer:</h2>

$\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.$

<h2>Step-by-step explanation:</h2><h3>Solve the equation</h3>

$\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.$

_____________________________________

<h3>Add the two equations</h3>

$-5x+y+(-4x-y)=-10+(-26)$

____________________________

<h3>Remove parentheses</h3>

$-5x+y-4x-y=-10-26$

_________________________________________________

<h3>Cancel one variable</h3>

$-5x-4x=-10-26$

___________________________________________

<h3>Combine like terms</h3>

$-9x=-10-26$

______________________________________________

<h3>Calculate the sum or difference</h3>

$-9x=-36$

________________________________________________

Divide both sides of the equation by the coefficient of variable

$x=\frac{-36}{-9}$

____________________________________________________

Determine the sign for multiplication or division

$x=\frac{36}{9}$

_________________________________________

Cross out the common factor

$x=4$

<h3>_____________________________________________</h3><h2>Step-by-step explanation:</h2><h3>Substitute into one of the equations</h3>

$-4\times4-y=-26$

____________________________________________________

Calculate the product or quotient

$-16-y=-26$

______________________________________________________

Rearrange variables to the left side of the equation

$-y=-26+16$

_____________________________________________

Calculate the sum or difference

$-y=-10$

_________________________________________-

Divide both sides of the equation by the coefficient of variable

$y=10$

<em>I hope this helps you</em>

8 0

2 years ago

Find area of the whole shape

ExtremeBDS [4]

$\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\ \cline{1-1} a = 5.3\\ b = 11.5\\ h= 5 \end{cases}\implies A=\cfrac{5(5.3+11.5)}{2} \\\\\\ A=\cfrac{5(16.8)}{2}\implies A=5(8.4)\implies A=42$

6 0

3 years ago

Find the measures of an angles 1

Lemur [1.5K]

By linear pair
Angle 1 = 180-138
= 42°

3 0

3 years ago