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mylen [45]
2 years ago
7

Question 6 (Fill-In-The-Blank Worth 1 points)

Mathematics
1 answer:
irina [24]2 years ago
6 0
The Greatest common factor of 12 and 30 is 6
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A 13ft board is to be cut into three pieces, two equal length ones and the third 9in shorter than each of the other two. If cutt
vaieri [72.5K]

Answer:

The pieces are 55 inches, 55 inches and 46 inches long

Step-by-step explanation:

A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.

Let us first convert the length of the board to inches:

1 ft = 12 inches

13 ft = 12 * 13 = 156 inches

Let the length of each of the other two pieces be x.

Therefore, the length of the third piece is (x - 9)

Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:

x + x + (x - 9) = 156

x + x + x - 9 = 156

=> 3x = 156 + 9

3x = 165

x = 165 / 3 = 55 inches

Each of the first two pieces are 55 inches long.

The length of the third piece will be:

55 - 9 = 46 inches

The pieces are 55 inches, 55 inches and 46 inches long.

4 0
2 years ago
The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the
LekaFEV [45]

Answer:

56 = 56

Step-by-step explanation:

Given:

Bus fare = $2.00

coupon book = 28.00

bus fare w/ coupon book = $1.00

let x be the number of bus rides.

2.00x = 1.00x + 28.00

2.00x - 1.00x = 28.00

1x = 28.00

x = 28.00

24 bus rides for both to have the same cost.

2.00x = 1.00x + 28

2.00(28) = 1.00(28) + 28

56 = 28 + 28

56 = 56

4 0
2 years ago
Please help me out and answer!!!!! <br> Really struggling
e-lub [12.9K]

Answer:

D

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y) → (- y, x)

A translation of 3 units up → + 3 in the y- direction, that is add 3 to the y- coordinate, hence

(x, y) → (- y, x) → (- y, x+ 3) → D




3 0
3 years ago
54 divided by 34798 equals
serg [7]
694.407 and there is a cap over the three numbers at the very end
5 0
3 years ago
Read 2 more answers
JJill begins the summer with $500 in her savings account. Each week, she withdraws $20. Her brother, Sam,starts the summer with
meriva

Answer:

7th week

Step-by-step explanation:

Let us represent the number of weeks as x

Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.

$500 - $20× x

500 - 20x

Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.

$150 + $30 × x

150 + 30x

At what week will both Jill and Sam have the same amount in their account?

We solve this be Equating both Equations together

Jill = Sam

500 - 20x = 150 + 30x

Collect like terms

500 - 150 = 30x + 20x

350 = 50x

Divide both sides by 50

50x/50 = 350/50

x = 7 weeks

Therefore, at the 7 week, Jill and sam would have the same amount in their accounts

3 0
3 years ago
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