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Karolina [17]
3 years ago
13

There are three consecutive integers. Four times the smallest integer is equal to six more than three times the smallest integer

. What is the smallest of the 3 integers?
Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.

4(x-1) = 3(x-1) + 6

x-1 = 5

x = 6

The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.

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The base of a rectangle is 13 centimeters longer than the height.If the perimiter is 58 centimeters find the base and the height
Yuri [45]

Answer:

Base: 8cm. Height: 21cm

Step-by-step explanation:

We know that the base of a rectangle is 13 cm. longer than the height and the perimeter is 58 cm. Here is how we would set up the problem:

2x+2(x+13)= 2x + 2x + 26 = 4x + 26 = 58 (now we use the distributive property:

4x + 26 = 58

       -26   -26

4x = 32

So, the base is 8 cm.

Now it's time to find the height.

So, we know the base (in total) is 16 cm. Now we do 58-16=42. Now we divide 42 divided by 2 = 21 cm.

8 0
3 years ago
1/3x(-6+27y-51z)simplify
Naya [18.7K]
Final result :

9y - 17z - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

1
— • (27y - 51z - 6)
3
Step 2 :

Pulling out like terms :

3.1 Pull out like factors :

27y - 51z - 6 = 3 • (9y - 17z - 2)

Final result :

9y - 17z - 2
8 0
3 years ago
Read 2 more answers
What are the answers to these thank you and please tell me how to get it
mote1985 [20]
5-3(1/2x+2)=-7
-3(1/2x+2)=-7-5
(1/2x+2)=4
1/2x=2
x=4
just to give u an idea
4 0
3 years ago
Find the area of the composite shape below.
Nezavi [6.7K]

Answer:

4,368 please I hope it is correct I used a calculator

4 0
3 years ago
The perimeter of a rectangle is 200 yards. what are the dimensions of the rectangle if the length is 80 yards more than the? wid
liq [111]
P = 2(L + W)
P = 200
L = W + 80

200 = 2(W + 80 + W)
200 = 2(2W + 80)
200 = 4W + 160
200 - 160 = 4W
40 = 4W
40/4 = W
10 = W.........the width is 10 yds
4 0
3 years ago
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