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Afina-wow [57]
3 years ago
10

hugo received $100 for his bithday. He then saved $20 per week until he had a total of $460 to buy a printer. Use the equation t

o show how many weeks it took him to save the money.
Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

18 weeks

Step-by-step explanation:

So, Hugo received $100 for his birthday.

He saved $20 per week. Let x denote the weeks that passed. Therefore:

y=100+20x

This equation represents the total money y Hugo has after x weeks.

The printer cost $460. Thus, set y to $460:

460=100+20x

Solve for x.

Subtract 100 from both sides:

360=20x

Divide both sides by 20:

x=18

Therefore, it took Hugo 18 weeks to save up $460.

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Which of the following inequality should be graphed with a dashed line? Select all that apply.
AURORKA [14]

Answer:

  B, D

Step-by-step explanation:

Any inequality that does not include the "or equal to" case will be graphed with a dashed line.

<h3>Application</h3>

The "or equal to" case is included when the inequality symbol is one of ≤ or ≥. When symbols > or < are used, the boundary line of the solution space is dashed (or the end point on the number line is an open circle).

The inequalities that will be graphed with a dashed line are ...

  • 2x -4y < 12 . . . . choice B
  • x +7 > -1 . . . . . . .choice D

7 0
1 year ago
Find the product: 377(10, 000).
Illusion [34]

Answer:

37, 700, 000

Step-by-step explanation:

377(10,000) = 377 x 10,000

= 37, 700, 000

an easy way to see it is to just add the number of zeros from 10,000 to 377. since there are four zeros, you put four zeros behind 377.

<em><u>[it's not mathematical but it helps u see the answer better. and it only works with numbers that start with 1]</u></em>

7 0
3 years ago
Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
11 months ago
Please solve with working out <br> simultaneous equations<br> 3x+2y=12<br> 2x+2y=10
Novay_Z [31]
Here, 3x + 2y = 12
2x + 2y = 10

Subtract 2nd from 1st equation, 
x = 2

Now, substitute in 2nd, 
2(2) + 2y = 10
2y = 10 - 4
y = 6/2
y = 3

In short, Your Answer would be: (2, 3)

Hope this helps!
4 0
3 years ago
Read 2 more answers
Find the midpoint of each line segment
devlian [24]

Answer:

(\frac{7}{2},\frac{1}{2})

Step-by-step explanation:

For this you use the midpoint formula

(\frac{x_{2} +x_{1} }{2} ,\frac{y_{2} +y_{1} }{2} )

the points would be (2,1) and (5,2)

The midpoint would be (\frac{7}{2},\frac{1}{2})

5 0
2 years ago
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