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Harman [31]
3 years ago
13

Every Monday evening, a mathematics teacher stops by the dry cleaners, drops off the shirts that he wore for the week, and picks

up his previous week's load. If he wears a clean shirt every day, including Saturday and Sunday, what is the minimum number of shirts that he can own?
Mathematics
1 answer:
ikadub [295]3 years ago
7 0
(T+W+T+F+S+S+M)+(T+W+T+F+S+S+M)=14
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Devaughn is 15 years older than Sydney. the sum of their ages is 113. what is sydneys age?
NISA [10]

Answer:

49

Step-by-step explanation:

devaughn= x+15

sydney= x

set an equation adding both their ages

x+x+15=113

2x+15=113

subtract 15 from both sides

2x=98

x=49

sydney is 49

4 0
3 years ago
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judy borrow 600 from her friend and promises to pay it back in 3 years with the 4% interest rate. calculate the simple interest
s2008m [1.1K]

Answer:

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Step-by-step explanation:

4 0
3 years ago
A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
1500= 5n- 300 <br> Solve the equation for n . Show work.
quester [9]

Answer: 360 = n

Step-by-step explanation:

1500= 5n - 300

+300        +300

1800=5n

1800/5

360=n

I would appreciate a brainliest, please?

6 0
2 years ago
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Z varies jointly with x, and y, and z=7 when x= 2, y= 2<br> pleasee I need an answer now!!
Elina [12.6K]

Answer:

(7/4)(2)(2)=7

Step-by-step explanation:

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