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igomit [66]
2 years ago
10

John drove from station A to station B a distance of 224 miles. On his way back, he increased his speed by 10 mph. If the journe

y back took him 24 minutes less, what was his original speed?
Mathematics
1 answer:
meriva2 years ago
5 0

Answer: 70 mph

Step-by-step explanation:

224/x =224/x+10 +24/60

Solve equation

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An image of a parabolic lens is projected onto a graph.The y-intercept of the graph is (0, 90), and the zeros are 5 and 9. Which
Gnesinka [82]

Step-by-step explanation:

If the zeros are 5 and 9, then the equation will have the form:

y = a (x–5) (x–9)

We know the point (0, 90) is on the curve, so we can use this to find the coefficient a:

90 = a (0–5) (0–9)

90 = 45a

a = 2

y = 2 (x – 5) (x – 9)

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2 years ago
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The mean weight of the packages Joan shipped was 2.5 pounds. If Joan mailed four packages and three of them had weights of 1.7,
Vikentia [17]
A.) 2.3 ok i think it would help u out alot
8 0
2 years ago
Bao Yu is completing the square to solve the polynomial equation.
irga5000 [103]

Solution:

The square of the given equation can be completed as below:

Here we will make the terms on left hand side such that it gets the form of a^2\pm2ab+b^2=(a\pm b)^2

x^2-x-3=0\\\\\text{Isolate the constant}\\\\x^2-x=3\\\\x^2-2\times\frac{1}{2}\times x +\frac{1}{2}^2=3+ \frac{1}{2}^2\\\\(x-\frac{1}{2})^2=\frac{13}{4}\\

Hence the correct option is isolating the constant , -3.

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2 years ago
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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract
Zina [86]

Answer:

The equation of the line in standard form is

x-4y=8

Step-by-step explanation:

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

y-1=(1/4)(x-12)

so

m=1/4

(12, 1)

step 2

Find the equation of the line in standard form

The equation of the line in standard form is

Ax+By=C

where

A is positive integer

B and C are integers

we have

y-1=(1/4)(x-12)

Multiply by 4 both sides to remove the fraction

4y-4=(x-12)

x-4y=12-4\\x-4y=8

8 0
2 years ago
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Zack borrowed $1,087 for 12 months at 11% interest. if he must pay 11.00 per $100, what is the total amount of money he will rep
Naddika [18.5K]

Answer:

The correct option is d.

Step-by-step explanation:

It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.

Formula of simple interest:

I=\frac{P\times r\times t}{100}

Where P is principal amount, r is rate of interest in percentage and t is time in years.

I=\frac{1087\times 11\times 1}{100}

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The interest paid by Zack is $1,087.

The total amount of money he will repay is

1,087+119.57=1,206.57

Therefore option d is correct.

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2 years ago
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