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tia_tia [17]
3 years ago
7

Mary has twice as many pencils as she has pens. Tom borrows a pen. Now, Mary has ten less pens than pencils. How many pencils do

es Mary does?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0
X - the number of pencils
y - the number of pens

She has twice as many pencils as she has pens.
x=2y

Tom borrows a pen, so she has y-1 pens. Now she has ten less pens than pencils.
x-10=y-1 \\
x=y-1+10 \\
x=y+9

Set 2y and y+9 equal to each other:
2y=y+9 \\
2y-y=9 \\
y=9
She has 9 pens.
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3 people work full time together on a project, but their total time on the project is to be equivalent to only 1 person working
NikAS [45]
Let x = the amount of time that the third person needs to work on the job to add up to one

1 = 1/2 + 1/3 + x

1 - 1/2 - 1/3 = x

To subtract the fractions we need to put them all over a common denominator. Let's use 3*2 = 6 as the denominator; so 1 = 6/6, 1/2 = 3/6, 1/3 = 2/6:

6/6 - 3/6 - 2/6 = x

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The third person must work 1/6 time on the project.
3 0
3 years ago
One side of a rectangle is 9 millimeters shorter than six times the other side. Find the length of the longer side if we also kn
vodka [1.7K]

Given:

W(width) = (6L) - 9

L(length) = L

Equation:

2( [ 6L ] - 9) + 2 (L) = 150

= 12L - 18 + 2L = 150

= 12L + 2L = 150 + 18

=14L = 168

L = 168/14, so the length is 12. Let's check our work.

Width:  6(12) - 9 = 72 - 9 = 63

Length: 12

Since there are two lines of width and two lines of length:

2(12) + 2(63) = 24 + 126, which gives you a perimeter of 150 mm.

Hope this helped.

4 0
3 years ago
What is the fill in the blank answers?
Olenka [21]
Think first is Distributive Property
Combine any LIKE TERMS
Isolate the VARIABLE
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I think these are the answers hope it helps!
4 0
3 years ago
Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing
pav-90 [236]
T = 6 years

Equation:
t = (1/r)(A/P - 1)
Calculation:
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t = (1/0.075)((725/500) - 1) = 6
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The time required to get
a total amount, principal plus interest, of $ 725.00
from simple interest on a principal of $ 500.00
at an interest rate of 7.5% per year
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5 0
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x =10

Step-by-step explanation:

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6 0
3 years ago
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