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Debora [2.8K]
3 years ago
5

The sum of 7 times one number, x, and 4 times a second number, y, is 148. If the sum of the two numbers is 31, find the two numb

ers.
Enter a system of equations to represent the situation, then solve the system.

The system of equations is ___ and ___
The first number is ___ and the second number is ___.
Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:21.88

Step-by-step explanation:

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What is the slope of the line that passes through (0,0) and<br> (7, 6)?
frosja888 [35]

Answer:

6/7

Step-by-step explanation:

8 0
2 years ago
An office supply store recently sold a black printer ink cartridge for $17.99 and a color printer ink cartridge for $20.99. At t
UNO [17]

Answer:

40 black ink cartridges and 19 colored ink cartridges

Step-by-step explanation:

Let b represent the number of black printer ink cartridges sold. Let c represent the number of color printer ink cartridges sold.

Set up a system of equations:

\displaystyle\\\begin{cases}b+c=59\\17.99b+20.99c=1,118.41\end{cases}

b+c=59\implies b=59-c

Substitute:

\displaystyle\\17.99(59-c)+20.99c=1,118.41\\\implies c=\boxed{19}

\implies b+19=59\implies b=\boxed{40}

⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)

8 0
2 years ago
Solve by elimination x-5y=35 and 3x-6y=51
IrinaVladis [17]

Answer: x=5 y=-6

(5,-6)

Step-by-step explanation:

Solve by elimination

\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}

multiply x-5y=35 by 3

= 3x-15y=105

\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}

3x-6y=51

-\underline{3x-15y=105}

9y=-54

divide 9 on both sides

y= -6

Now solve for x

you must plug in -6 for y in either equations

i plugged in -6 for y in 3x-15y=105

3x-15\left(-6\right)=105

3x+15\cdot \:6=105

15\cdot \:6=90

3x+90=105

subtract 90 on both sides

3x=15

\frac{3x}{3}=\frac{15}{3}

x=5

Please mark brainliest

3 0
4 years ago
Read 2 more answers
What is 25 % off 39.99 ?
dmitriy555 [2]
39.99 x .25= 9.999 or 10$ off
39.99-10= 29.99$ in the end (Final Price)
5 0
4 years ago
Read 2 more answers
An angle measuring 32 degrees has a complement that measures (2x - 16)degrees. What is the value of x? (and the steps)
Katarina [22]

Answer:

37°

Step-by-step explanation:

32+2x-16=90

2x+16=90

2x=90-16

2x=74

x=37

3 0
4 years ago
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