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2 years ago

Write two expressions where the solution is 41

Mathematics

1 answer:

Marina CMI [18]2 years ago

3 0

40+1=41
10×4+1=41
that is what I have so there you go

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Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for ea

spayn [35]

Answer:

Commissions:

Accessoriy: $2

Phone: $9

Step-by-step explanation:

18p + 21a = 204

6p + 14a = 82

21a = 42

a = 2

p = [82 - 14(2)]/6 = 9

4 0

2 years ago

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A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probability that the

uysha [10]

Answer:

The probability is found:

P = 24/3024 = 1/126

Step-by-step explanation:

To find total number of outcomes, we have to find permutation of 9 things taken 4 at a time:

P(9,4) = 9! / (9-3)!

P(9,4) =362880/120

P(9,4) = 3024

Number of even numbers from 0 to 9 = 4

To find desirable number of outcome, find permutation of 4 things taken 4 at a time.

P(4,4) = 4! / (4-4)!

P(4,4) = 24/1

P(4,4) = 24

The probability that the lock consists of all even digits is

P = No. of desirable outcomes / No. of total outcomes

P = 24/3024

3 0

2 years ago

A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of

DedPeter [7]

Answer:

g = 15 - m/28

Step-by-step explanation:

let g = gasoline

let m = miles

g = 15 - m/28

since you can drive 420 miles with 15 gallons of gas, you can drive 28 miles with one gallon (= 420/15 = 28)

e.g.

you drive 100 miles, then you will have:

g = 15 - 100/28 = 15 - 3.57 = 11.43 gallons of gas left

you drive 240 miles:

g = 15 - 240/28 = 6.43 gallons

4 0

2 years ago

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over

notka56 [123]

Answer:

1. Alexa traveled at a faster rate because the slope of her line is $\frac{3}{4}$ , which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation:

We know that,

Slope of $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Mia records the distance traveled over the time by the table.

Taking the points (10,5) and (18,9), the slope is given by,

Mia's slope = $\frac{9-5}{18-10}$

i.e. Mia's slope = $\frac{4}{8}$

i.e. Mia's slope = $\frac{1}{2}$

Alexa records the distance traveled over the time by the graph.

Taking the points (4,3) and (8,6), the slope is given by,

Alexa's slope = $\frac{6-3}{8-4}$

i.e. Alexa's slope = $\frac{3}{4}$

As, Alexa's slope = $\frac{3}{4}$ > $\frac{1}{2}$ = Mia's slope.

So, the correct option is,

1. Alexa traveled at a faster rate because the slope of her line is $\frac{3}{4}$ , which is greater than the slope of the line described by the data in Mia’s table.

7 0

1 year ago

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Which equation represents the line that passes through the points (6, –3) and (–4, –9)?

Delvig [45]

(6,-3)(-4,-9)
slope(m) = (-9 -(- 3) / (-4 - 6) = (-9 + 3) / -10 = -6/-10 = 3/5

y - y1 = m(x - x1)
slope(m) = 3/5
(6,-3)....x1 = 6 and y1 = -3
now we sub
y - (-3) = 3/5(x - 6) =
y + 3 = 3/5(x - 6) <==

8 0

2 years ago

Read 2 more answers