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LUCKY_DIMON [66]
2 years ago
7

Solve the following equation: 1.3(a + 2) + 5.6 = 17.3

Mathematics
1 answer:
Vinil7 [7]2 years ago
7 0

Answer:

a=7

Step by step Explanation:

Step 1: Simplify both sides of the equation.

1.3(a+2)+5.6=17.3

(1.3)(a)+(1.3)(2)+5.6=17.3(Distribute)

1.3a+2.6+5.6=17.3

(1.3a)+(2.6+5.6)=17.3(Combine Like Terms)

1.3a+8.2=17.3

1.3a+8.2=17.3

Step 2: Subtract 8.2 from both sides.

1.3a+8.2−8.2=17.3−8.2

1.3a=9.1

Step 3: Divide both sides by 1.3.

1.3a      9.1

1.3     =   1.3

a = 7

 

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In the figure to the right, AB = 7 1/2 m, BC = 2 1/4 m, and DE = 1 1/4 m. Find the perimeter of the figure if all angles are rig
Andreas93 [3]

Answer:

Perimeter=22 m

Step-by-step explanation:

Perimeter Of A Figure

Perimeter is the distance measured around a shape. If the figure is line-shaped, the perimeter can be obtained by adding the individual lengths of each segment around the shape.

The figure shown is surrounded by line segments. We only have to add them all to find the perimeter. But we don't need each individual length to do so. We may notice the following (given all angles are right):

The sum of HG+FE+DC equals AB. So the upper and lower lengths are twice AB, or equivalently: 2*7 1/2 m =15 m

It can also be noted that AH+GF=BC+DE=2 1/4+1 1/4 = 3 1/2 m. It means that the two lateral lengths are twice this value: 2* 3 1/2 = 7 m

Thus, the total perimeter is 15 m + 7 m = 22 m

4 0
3 years ago
Helen plays basketball. For free throws, she makes the shot 78% of the time. Helen must now attempt two free throws. C = the eve
riadik2000 [5.3K]

Answer:

0.6708 or 67.08%

Step-by-step explanation:

Helen can only make both free throws if she makes the first. The probability that she makes the first free throw is P(C) = 0.78, now given that she has already made the first one, the probability that she makes the second is P(D|C) = 0.86. Therefore, the probability of Helen making both free throws is:

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There is a 0.6708 probability that Helen makes both free throws.

5 0
3 years ago
Can someone please help me in this question.
mestny [16]

Answer:

a) 2^{3}

b) 2^{5}

c) 2^{8}

d) \frac{5}{2^{3} }

e) 2^{4} + 2^{3}

Step-by-step explanation:

a) 8 = 2 x 2 x 2

b) 32 = 2 x 2 x 2 x 2 x 2

c) 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

d) 5 x 2^3 / 64 = 5 x 8 / 64

                        = 40/64

                        = 5/8

                        = \frac{5}{2^{3} }

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                    = 16 + 8

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6 0
3 years ago
Round to the nearest given place.<br> 1.80431<br><br> thousandths
rodikova [14]
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2- If the number in the ten thousandths is equal to or greater than 5, then the thousandths number will be incremented by 1 and all numbers after it will be converted to zeroes.

Applying this to the given number: 
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Therefore, rounding <span>1.80431 to the nearest thousandths will be:
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3 years ago
Lisa tapes three 7inch by 9inch pieces of construction paper together to make a happy birthday sign for her mom. She uses a piec
USPshnik [31]
Depends on how the papers are connected. if they are connected with the 7cm side joining each other, use solution one. if they are connected with the 9cm side joining each other, use solution two.


perimeter of edges of sign= 2 [(9x3)+7]
= 68 inches

left over= 144-68
= 76 inches



OR


perimeter of edges of sign= 2[(7x3)+9]
= 60 inches

left over= 144-60
= 84 inches
7 0
3 years ago
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