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Tomtit [17]
3 years ago
5

Is (-8,-2) a solution to the systems of equations? X-4y=2 5x-8y=-6

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

Step-by-step explanation:

It is 4 /6)7)2\€{

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The amount of money that is left in a medical savings account is expressed by the equation y = -24x+ 379, where x represents the
Zielflug [23.3K]
You have to insert 67 for y and then only solve the equation for X
67=-24x+379
x=? 

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4 0
3 years ago
Read 2 more answers
7 tens x 10 in standard form ​
rosijanka [135]

Answer:

700

Step-by-step explanation:

7 tens is 70. 70*10=700.

6 0
2 years ago
Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.5
Fynjy0 [20]

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables <em>a, b</em>, and <em>c</em>, respectively.

Since a total of 14 cups of coffee was served:

a+b+c=14

A total of 204 ounces of coffee was served. Therefore:

10a+14b+20c=204

A total of $16.70 was collected. Hence:

0.95a+1.15b+1.5c=16.7

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract <em>a</em> and <em>b</em> from both sides:

c=14-a-b

Substitute this into both the second and third equations:

10a+14b+20(14-a-b)=204

And:

0.95a+1.15b+1.5(14-a-b)=16.7

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}

And for the Third:

\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}

We can solve this using substitution. From the second equation, isolate <em>a: </em>

<em />\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b<em />

Substitute into the third:

-0.55(7.6-0.6b)-0.35b=-4.3

Distribute and simplify:

-4.18+0.33b-0.35b=-4.3

Therefore:

-0.02b=-0.12\Rightarrow b=6

Using the equation for <em>a: </em>

<em />a=7.6-0.6(6)=4<em />

<em />

And using the equation for <em>c: </em>

<em />c=14-(4)-(6)=14-10=4<em />

<em />

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

7 0
2 years ago
If you were given the function y=4x-3 and you had to find the Range, given the Domain: (1,3,5,7)
AysviL [449]

Answer:

option 4

Step-by-step explanation:

y = 4x-3

y = 4(1)-3

y = 1

y = 4(3)-3

y = 9

y = 4(5)-3

y = 17

y = 4(7)-3

y = 25

4 0
2 years ago
HELPPP!!!!!!!!!!!!!! meeee ok so there are 12 boys and 8 girls in the french club. what is the ratio of boys to girls.
san4es73 [151]

Answer:

3:2

Step-by-step explanation:

The ratio of boys to girls will be 12:8

But, this can be simplified, since both numbers are divisible by 4.

12/4 = 3

8/4 = 2

So, the simplified ratio of boys to girls is 3:2

5 0
3 years ago
Read 2 more answers
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