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IgorLugansk [536]
4 years ago
10

Please show work on how you got the answer

Mathematics
1 answer:
Maurinko [17]4 years ago
3 0
Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28
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The product of two consecutive positive integers is 812. What is the value of the lesser integer? a. 7 b. 28 c. 58 d. 203
Marta_Voda [28]

Answer:

The value of the lesser integer is 28

Step-by-step explanation:

Let two consecutive positive integers be x,x+1.

Product of two consecutive positive integers = x(x+1)=x^2+x

Also, product of two consecutive positive integers is 812

So,

x^2+x=812\\x^2+x-812=0\\x^2+29x-28x-812=0\\x(x+29)-28(x+29)=0\\(x-28)(x+29)=0\\x=28,-29

As x is a positive integer,

x=-29 is rejected.

So,

x=28\\x+1=28+1=29

Two positive integers are 28,29

The value of the lesser integer is 28

8 0
3 years ago
Read 2 more answers
A grocery store is selling 90 fl. oz of detergent for $6.99. To the nearest cent, what is the unit price?
Nesterboy [21]

Answer:

£7

Step-by-step explanation:

6.99 is closest to 7 as 7 is only one cent away

7 0
4 years ago
Suppose that you are given a choice of receiving your scholarship in the amounts of $5,000 today and $5,000 next year, or receiv
tigry1 [53]

Answer:

the choice that would maximize the present value of your scholarship is receiving your scholarship in the amounts of $5,000 today and $5,000 next year.

Step-by-step explanation:

Hello, I think I can help you with this

to solve this you must to find the present value in both cases, you can use this equation

Va=\frac{Vf}{(1+i)^{n} }

where

Va= present value

Vf=final value

n=number of periods ( in this case 1 )

i=interest rate

Step 1

option 1

$5,000 today and $5,000 next year,it would be $5000 that you receive today, and $5000 next year, let's find the presente value of the last one pay

Let

Vf=5000

i=10%=0.1

n=1,(1 year)

put the values into the equation

Va=\frac{Vf}{(1+i)^{n} }\\Va=\frac{5000}{(1+0.10)^{1} }\\Va=\frac{5000}{(1.1) }\\Va=4545.45\\

the presente value will be

5000+4545.45= $9545.4545

you would have $9545.4545 today.

Step 2

option 2

with  the second option you have $9000 today

$9545.4545 is greater than $9000

so, the choice that would maximize the present value of your scholarship is receiving your scholarship in the amounts of $5,000 today and $5,000 next year.

Have a great day

4 0
3 years ago
What is 400 divided by 10 to the third power equal?
Setler79 [48]
2/5 or 0.4 is the answer to your question
3 0
3 years ago
I NEED HELP PLZ DUE IN 5 min
OverLord2011 [107]

Answer:

2y^2 + 18x

Step-by-step explanation:

7 0
3 years ago
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