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Ksju [112]
3 years ago
10

One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 820?,

find the numbers.
Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

90, 540, and 190

Step-by-step explanation:

To write an equation or expression for the numbers, first define the variables.

The "first number" is x.

"6 times a first number" is 6x. This is the second number.

"100 more than the first number" is 100+x. This is the third number.

All together, they add to 820.

x+6x+100+x = 820

8x + 100 = 820

8x = 720

x= 90

So the first number is 90. The second number is 6x = 6*90 = 540. The third number is 100+x = 100+90 = 190.

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They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter
wariber [46]

Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

3W = 465 + 60 = 525

W = 525/3 = 175

L = 465 - W = 465 - 175

L = 290

4 0
3 years ago
What's 43080700 in word form
skad [1K]
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8 0
3 years ago
Which is a multiple of 15?<br>a.1<br>b.5<br>c.h<br>d.15
lakkis [162]
15 is you answer sir. the multiples are 15,30,45,60,75<span>,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300,315</span>
4 0
3 years ago
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What is the simplest form of 2 1/3 +5 3/4
BabaBlast [244]

get a common denominator which is 12

2 1/3 = 2 4 /12

5 3/4 = 5 9 /12

2 4/12 + 5 9/12 = 7 13/12

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                            8 1/12

6 0
3 years ago
The midsegment of a trapezoid is always parallel to each base true or false
Deffense [45]

Answer:

True

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u> states that : A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

see the attached figure to better understand the problem

EF is the mid-segment of trapezoid

EF is parallel to AB and is parallel to CD

EF=(AB+CD)/2

so

The mid-segment of a trapezoid is always parallel to each base

therefore

The statement is true

8 0
3 years ago
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