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devlian [24]
3 years ago
7

Ashlee worked 1,944 hours last year. She earned $14 for each hour she worked. She wants to use her earrings to buy a new vehicle

Mathematics
1 answer:
Vesnalui [34]3 years ago
8 0
So your going to divide 1,944 by 14 and your going get 138
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100 Points PLEASE ANSWER ASP! Will Give BRAINLIST!
VikaD [51]

Let's work to solve this system of equations:

y = 2x ~~~~~~~~\gray{\text{Equation 1}}y=2x        Equation 1

x + y = 24 ~~~~~~~~\gray{\text{Equation 2}}x+y=24        Equation 2

The tricky thing is that there are two variables, xx and yy. If only we could get rid of one of the variables...

Here's an idea! Equation 11 tells us that \goldD{2x}2x and \goldD yy are equal. So let's plug in \goldD{2x}2x for \goldD yy in Equation 22 to get rid of the yy variable in that equation:

\begin{aligned} x + \goldD y &= 24 &\gray{\text{Equation 2}} \\\\ x + \goldD{2x} &= 24 &\gray{\text{Substitute 2x for y}}\end{aligned}  

x+y

x+2x

​    

=24

=24

​    

Equation 2

Substitute 2x for y

​  

Brilliant! Now we have an equation with just the xx variable that we know how to solve:

x+2x3x 3x3x=24=24=243=8Divide each side by 3

Nice! So we know that xx equals 88. But remember that we are looking for an ordered pair. We need a yy value as well. Let's use the first equation to find yy when xx equals 88:

\begin{aligned} y &= 2\blueD x &\gray{\text{Equation 1}} \\\\ y &= 2(\blueD8) &\gray{\text{Substitute 8 for x}}\\\\ \greenD y &\greenD= \greenD{16}\end{aligned}  

y

y

y

​    

=2x

=2(8)

=16

​    

Equation 1

Substitute 8 for x

​  

Sweet! So the solution to the system of equations is (\blueD8, \greenD{16})(8,16). It's always a good idea to check the solution back in the original equations just to be sure.

Let's check the first equation:

\begin{aligned} y &= 2x \\\\ \greenD{16} &\stackrel?= 2(\blueD{8}) &\gray{\text{Plug in x = 8 and y = 16}}\\\\ 16 &= 16 &\gray{\text{Yes!}}\end{aligned}  

y

16

16

​    

=2x

=

?

2(8)

=16

​    

Plug in x = 8 and y = 16

Yes!

​  

Let's check the second equation:

\begin{aligned} x +y &= 24 \\\\ \blueD{8} + \greenD{16} &\stackrel?= 24 &\gray{\text{Plug in x = 8 and y = 16}}\\\\ 24 &= 24 &\gray{\text{Yes!}}\end{aligned}  

x+y

8+16

24

​    

=24

=

?

24

=24

​    

Plug in x = 8 and y = 16

Yes!

​  

Great! (\blueD8, \greenD{16})(8,16) is indeed a solution. We must not have made any mistakes.

Your turn to solve a system of equations using substitution.

Use substitution to solve the following system of equations.

4x + y = 284x+y=28

y = 3xy=3x

4 0
3 years ago
Read 2 more answers
The X multiple answers are 60 or 55 or 9 or 27 and
Molodets [167]

Step-by-step explanation:

It is an isosceles triangle , it has two equal angles both 55°.

All Isosceles triangles have two equal angles <em>a</em><em>n</em><em>d</em> two equal sides.

So in this case x +18 is equal to 3x, and to find x you will equal them to each other to create a linear equation and solve.

x + 18 = 3x

x - 3x = -18

-2x = -18

× = -18 / -2

× = 9 <em>(</em><em>a</em><em>n</em><em>s</em><em>)</em><em> </em>

Hope I was able to help. Good Luck :)))

5 0
2 years ago
What is 20,484,163 in expanded form
LuckyWell [14K]
20,000,000+400,000+80,000+4,000+100+60+3
4 0
3 years ago
A bag contains white matarles and red marables,126 in total.The number of whit marables is 6 more than 5 than 5 times the number
denis-greek [22]

Answer:106

Step-by-step explanation:

Let number of white marbles be w

Let number of red marbles be r

w+r = 126---------1

w = 6 +5r-----------2

Put eqn 2 in eqn 1

6+ 5r + r = 126

6 + 6r = 126

6r = 120

r = 20

w = 6 +5r =6+100

= 106

3 0
3 years ago
Can someone please help me on this question
Grace [21]

Answer: ? = 72

Step-by-step explanation:

   We will set up a proportion to solve.

\displaystyle \frac{?}{56} =\frac{45}{35}

   Now, we will cross-multiply.

? * 35 = 56 * 45

35? = 2,520

? = 72

3 0
2 years ago
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