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Cerrena [4.2K]
3 years ago
14

Y = -3x +10 3x +y = 5 substitution method

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

no solutions

Step-by-step explanation:

y = -3x +10

3x +y = 5

Substitute the first equation into the second equation

Let every instance of y in the second equation be replaced with -3x+10

3x+ (-3x+10) = 5

Combine like terms

10 =5

This is never true so there are no solutions

(These are parallel lines with the same slope but different y intercepts)

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Dots sells t-shirts ($2) and shorts ($4). In April total sales were $456. People bought 4 times as many t-shirts as shorts. How
Doss [256]

Answer:

Dots sold 152 t-shirts and 38 shorts sold.

Step-by-step explanation:

Let t = t-shirts and s = shorts.

We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s

Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456

So our two equations are:

t = 4s

2t + 4s = 456

Substitute t from the 1st equation into the 2nd:

2(4s) + 4s = 456

8s + 4s = 456

12s = 456

s = 38

There were 38 shorts sold.

Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:

t = 4s

t = 4(38)

t = 152

There were 152 t-shirts sold.

4 0
4 years ago
A 6-pound bag of birdseeds cost $4.92. What is the unit price?
Sergeu [11.5K]
I think you would have to multiply $4.92 and 6... if so the answer would be $29.52 for the unit price.
7 0
3 years ago
Evaluate the expression when m=3 and n=44.<br><br> 1. n-6m
seraphim [82]

Answer: 35

Step-by-step explanation: PEMDAS n-6(3)

44-9

8 0
3 years ago
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An insurance company has written 52 policies of $50,000, 477 of $25,000, and 918 of $10,000
Ede4ka [16]

The amount of money that the company can expect to pay during the year the policies were written is; $25005

<h3>How to find the expected Value?</h3>

The probability that a person will die at age 20 = 0.001

Revenue from 52 policies = 52 * $75,000 = $3,900,000

Revenue from 477 policies = 477 * $25,000 = $11,925,000

Revenue from 918 policies = 918 * $10,000 = $9,180,000

Total revenue from all policies = $3,900,000 + $11,925,000 + $9,180,000

Total Revenue from all Policies = $25,005,000

Expected amount to pay out during the year the policies were written =  $25,005,000* 0.001 = $25,005

Thus, the company can expect to pay out $45,000 over the year after the policies were written.

Read more about Expected Value at; brainly.com/question/19168423

#SPJ2

8 0
2 years ago
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The circle below is centered at the point (3,1) and has a radius of length 2. What is its equation?
Paul [167]
It is letter B.
Equation of a circle is in the form:
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center of the circle with radius r.
3 0
3 years ago
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