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Ad libitum [116K]
2 years ago
13

Nancy started the year with 400$ in the bank and is saving 10$ a week. Shane started with 700$ and is spending 20$ a week. When

will they both have the same amount of money in the bank?
Mathematics
1 answer:
umka21 [38]2 years ago
5 0

They will both have the same amount in the bank after 10 weeks

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, we have

<u>Nancy</u>

Initial = 400

Rate = 10

So, the equation is

y = 400 + 10x

<u>700</u>

Initial = 700

Spending = 20

So, the equation is

y = 700 - 20x

When they both have the same amount of money in the bank, we have

700 - 20x = 400 + 10x

Evaluate the like terms

30x = 300

Divide by 30

x = 10

Hence, they will both have the same amount in the bank after 10 weeks

Read more about linear equations at:

brainly.com/question/1884491

#SPJ1

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A coin is tossed 6 times. Find the probability P(of exactly 4 occurrences of heads).
Angelina_Jolie [31]
Let's draw!

H                             1                              T
HT                           2                           HT
HTHT                      3                      HTHT
HTHTHT                 4                  HTHTHT
HTHTHTHT            5             HTHTHTHT
HTHTHTHTHT       6        HTHTHTHTHT

You can count the probabilities using this.

HHHHTT
HHHTHT
HHTHHT
HHTHTH
HHHTTH
HTHHHT
HTTHHH
HTHTHH
HTHHTH

THHHHT
THHHTH
THHTHH
THTHHH
TTHHHH

Therefore, I think the probability is 14/64. Not sure so check my work.
14 combinations
64 outcomes (2+4+8+16+32+64 or 2^n)

7 0
3 years ago
A student fond the slope of a line that passes through the points (-8,-6) and (2,-3) to be 3/10. what mistake did she make?
goldfiish [28.3K]
Simple ....

we know to find slope is (y1-y2)/(x1-x2)

if we plug in what we know......

(-8,-6),(2,-3)

(-6--3)/(-8-2)

it turns into...

(-6++3)/(-8+-2)

(-3)/(-10)= 3/10

Thus, your answer is that she made no mistake. (C)
4 0
3 years ago
7. The revenue, in dollars, that eMathInstruction makes off its videos in a given day depends on how many views they receive. If
Scilla [17]

Answer:

26

Step-by-step explanation:

Since x is counted in hundreds, x=600/100.

x=6

6x-10

When you substitue,

6*6-10

36-10

26

you get 26.

5 0
3 years ago
What is the slope of the line graphed above​
erma4kov [3.2K]
Answer:
B

Explanation:
Slope = rise/run = -2/2 = -1
3 0
3 years ago
Read 2 more answers
Find the value of PR if Q is between P and R<br> when PQ=25, PQ=2x+1, and QR=x.<br> X<br> ат<br> X=8
Eva8 [605]

Answer:

PR = 37

Step-by-step explanation:

Given

PQ = 25

PQ = 2x +1

QR = x

Required

PQ

Since Q is between the given points, then:

PR = PQ + QR

This gives:

PR = 2x + 1 + x

Collect like terms

PR = 2x + x+ 1

PR = 3x + 1

Next, solve for x

We have:

PQ = 25

PQ = 2x +1

This gives:

2x + 1 = 25

Collect like terms

2x = 25 -1

2x = 24

Divide by 2

x = 12

So:

PR = 3x + 1

PR = 3 * 12 + 1

PR = 37

7 0
3 years ago
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