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hammer [34]
4 years ago
5

Every year Veronica receives $30 for her birthday, plus $2 for each year of her age. Lacey receives $20 for her birthday and $4

for ea year of her age. In 2013, Victoria is 10, and Lacey is 6. In what year will they both receive the same amount of money?
Mathematics
1 answer:
Alex_Xolod [135]4 years ago
3 0

Answer:

60

Step-by-step explanation:

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Please tell the answer and show the work.
LUCKY_DIMON [66]
First step, i would try to figure out the slope. think of it as a typical y=mx+b linear equation as you check out the graph.

it's just rise over run (rise up this many, run over that many), and your options are (-2/3) or (-3/2)

start at the y-intercept, which is just above the middle of the graph. if you go down 2 and try to go over 3, you hit the line before you can count 3 units. that means this slope is incorrect.

go back to the y-intercept. down 3, over 2--there you go. your slope here is (-3/2), which immediately gets rid of half your answer choices for having the wrong slope

the next thing you have to do is decide <em>where</em> this graph should be shaded. the shaded region shows the domain; the white region shows what's outside of your domain. this inequality is shaded "below" which means that the y values are LESS than "(-3/2)x +1"

that eliminates another one of your answer choices; choice 3 is correct. the inequality is y < (-3/2)x + 1

if the graphs of inequalities are shaded below and the line is dotted, it's less than. if the graphs of inequalities are shaded above and the line is dotted, it's greater than. general rules for ya
5 0
3 years ago
Read 2 more answers
The height of an object after it is released can be modeled by the function mc016-1.jpg, where t is the number of seconds after
zzz [600]
The correct answer is b.
6 0
4 years ago
Read 2 more answers
Solve:<br> 7/8 - (-1/8)<br> A. -1<br> B. -1/8<br> C. 1/8<br> D.1
kupik [55]
D, because two negative signs next to each other means to add so its pretty much 7/8+1/8 which equals 8/8 which also equals 1
7 0
3 years ago
Read 2 more answers
An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second
AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

\displaystyle P(R)=\frac{5}{7}

The probability is's green is computed by

\displaystyle P(G)=\frac{2}{7}

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}

The total probability of the second ball being red is

\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71

The probability that the second ball is red is 71%

7 0
3 years ago
write an equation of the line passing through the point (6,3) that is perpendicular to the line 5x - 6y = 10​
Jlenok [28]

Answer:

5x-6y-12=0

Step-by-step explanation:

...make y the subject y=-6/5x +2

...use the coefficient of x as the gradient,m=-6/5

...for a perpendicular line,find the negative reciprocal of the gradient,5/6

...sub into the eqn y= -1/m(x-a)+b

3 0
3 years ago
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