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soldi70 [24.7K]
3 years ago
9

Andrew has already played 32 minutes on his video game today and wants to play an additional 15 minutes each of x games after sc

hool today. What equation can be used to find y, the total minutes Andrew will play video games today?
Mathematics
1 answer:
artcher [175]3 years ago
7 0

Answer:

y = 15x+32

Step-by-step explanation:

Given

y to be the total minutes Andrew will play video games today

x is the total number of games played after school

If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes

We are told that he has initially spent 32minutes on video games. hence;

Total minutes Andrew used on games y = (15*x)+32

The required equation will be y = 15x+32

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Lauren keeps records of the distances she travels in a taxi and what she
Scrat [10]

Answer:

m = 2.25

Step-by-step explanation:

In a standard equation of y = mx + b, m is the slope. In this situation, the slope is the price paid per mile.

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the points (3, 8.25) & (11, 26.25)

Plug in these values:

(26.25 - 8.25) / (11 - 3)

Simplify the parentheses.

= (18) / (8)

Simplify the fraction.

18/8

= 9/4

This is your slope.

In a dollar value, it is 9/4 of a dollar, or $2.25 per mile.

3 0
3 years ago
Given: △ACM, m∠C=90°, CP ⊥ AM
larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

8 0
4 years ago
HELP AS SOON ASAP !!!
andre [41]

Answer:

$475

Step-by-step explanation:

998=x+y

y=48+x

graph

intersect at (475,523)

5 0
3 years ago
Given the linear function k(x) = 12 and m(x) = 3x - 5, find the new function j(x) = k(x) * m(x).
Step2247 [10]
J(x) = 12(3x - 5)
j(x) = 36x - 60
I am fairly certain that the new linear function is j(x) = 36x - 60
** I could be wrong idk
6 0
3 years ago
Credit card cash advance<br> borrow: $300<br> rate: 18% per year<br> time: 6 months-,5<br> 300<br> 6
olga nikolaevna [1]

Answer:

Assuming the question is how much interest you will pay in the given time frame with the given terms.

Step-by-step explanation:

Borrowed $300

18% per yr = 18/12 = 1.5% per month

You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest

$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.

<u>Total $327.</u>

<u />

<em>If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.</em>

7 0
2 years ago
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