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Maurinko [17]
3 years ago
9

-2(a-8)+6a=36 what's the value of a A=

Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0
Distribute -1 into the brackets.
-2(a - 8) + 6a = 36
-2a + 16 + 6a = 36
Take 16 to the other side
-2a + 6a + 16 = 36
               - 16   -16
-2a + 6a = 36 - 16
Combine like terms
4a = 20
Divide by 4 on either sides to isolate a
\frac{4a}{4} =  \frac{20}{4}
4 and 4 cancels out.
a = 5
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Elena is 56 inches tall. (Note: 100 inches = 254 centimeters)
Olenka [21]

Elena's height in centimeters is 142.24 cm.

Elena's height in meters is 1.42 meters.

<h3>What is Elena's height in centimeters and meters?</h3>

The mathematical operations that would be used to determine the answers ae division and multiplication.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the operation that is used to determine the product of two or more numbers.

In order to determine the height in centimeters, first determine how many cenitmeters make 1 inch

1 inch = 254 / 100

1 inch = 2.54 cm

Now, convert 56 inches to cm : 56 inches x 2.54 = 142.24 cm

In order to determine the height in meters, first find the unit of conversion of inches to meters

1 inch = 0.0254 meters

0.0254 x 56 = 1.42 meters

To learn more about division, please check: brainly.com/question/13281206

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4 0
2 years ago
3. Which graph best represents the solution to the following system? (1 point)<br> (5x – 2y &lt;10
Step2247 [10]

Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

5x-2y\leq 10 ----> inequality A

isolate the variable y

Adds 2y both sides

5x \leq 10+2y

Subtract 10 both sides

5x-10 \leq 2y

Divide by 2 both sides

2.5x-5 \leq y

Rewrite

y \geq 2.5x-5

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is y=2.5x-5

The slope of the solid line is positive m=2.5

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

x+y < 5 -----> inequality B

Isolate the variable y

Subtract x both sides

y < -x+5

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is y=-x+5

The slope of the dashed line is negative m=-1

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

7 0
3 years ago
Which expressions are equivalent to 16x4 − 64? Check all that apply. 16x4 + 16x – 16x – 64 16x4 – 8x – 8x – 64 (4x2 + 8)(4x2 – 8
KengaRu [80]

Answer:

16x4 + 16x – 16x – 64

16x4 – 8x – 8x – 64

(4x2 + 8)(4x2 – 8)

16(x2 + 2)(x2 – 2)

7 0
3 years ago
In the given kite, AE = 6 ft, BE = 9 ft, and DE = 15 ft. Determine the area of the kite.
Verizon [17]

Answer:

72

Step-by-step explanation:

(24*6)/2 = 72

7 0
3 years ago
Read 2 more answers
Solve the inequality if possible 4(3-2x)&gt;2(6-4x)
GenaCL600 [577]

Final Answer: No Solution

Steps/Reasons/Explanation:

Question: 4(3-  2x) > 2(6-  4x)

<u>Step 1</u>: Divide both sides by 2.

2(3 - 2x) > 6 - 4x

<u>Step 2</u>: Expand.

6 - 4x > 6 - 4x

<u>Step 3</u>: Since 6 - 4x > 6 - 4x is false, we have no solution.

No Solution

~I hope I helped you :)~

6 0
3 years ago
Read 2 more answers
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