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ad-work [718]
3 years ago
8

Solve for m. 5m + 3m - 8 = 64 a m = 9 b m = 2 c m = -2 d m = 5

Mathematics
2 answers:
Vesnalui [34]3 years ago
7 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{m = 9}}}}}

Option A is the correct option

Step-by-step explanation:

\sf{5m + 3m - 8 = 64}

Collect like terms

⇒\sf{8m - 8 = 64}

Move 8 to right hand side and change it's sign

⇒\sf{8m = 64 + 8}

Add the numbers

⇒\sf{8m = 72}

Divide both sides of the equation by 8

⇒\sf{ \frac{8m}{8}  =  \frac{72}{8} }

Calculate

⇒\sf{m = 9}

Hope I helped!

Best regards!!

algol [13]3 years ago
6 0

Answer:

\Huge \boxed{m=9}

Step-by-step explanation:

5m + 3m - 8 = 64

Combining like terms.

8m - 8 = 64

Adding 8 to both sides.

8m=72

Dividing both sides by 8.

m=9

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kherson [118]

Answer:

35/4 or 8,3/4

Step-by-step explanation:

Flip the second fraction and multiply.

8 0
3 years ago
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Ken has a pole that is 26 inches long. He wishes to cut it into two pieces so that one piece will be 8 inches longer than the ot
Yuliya22 [10]

Answer:

9 inches

Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26                      (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26                 Combine like terms              

2x + 8 = 26                   Start isolating "x"

2x + 8 - 8 = 26 - 8           Subtract 8 from both sides

2x = 18

2x/2 = 18/2           Divide both sides by 2

x = 9                    shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

longer piece = x + 8

x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26           Substitute the lengths

17 + 9 = 26                    Add

26 = 26                same number

LS = RS                left side equals right side

The answer is correct.

3 0
3 years ago
Jackrabbits are capable of reaching speeds up to 40 mph. How fast is this in feet per second? (Round to the nearest whole number
Lerok [7]
Keeping in mind that there are 5280 ft in 1 mile, and there are 60 minutes in 1 hr and 60 seconds in 1 minute, therefore 60*60 seconds in 1 hr, or 3600 seconds, then.

\bf \cfrac{40\underline{mi}}{\underline{hr}}\cdot \cfrac{5280ft}{\underline{mi}}\cdot \cfrac{\underline{hr}}{3600s}\implies \cfrac{40\cdot 5280}{3600}\cfrac{ft}{s}\implies \cfrac{176}{3}\implies 58.\overline{66}\frac{ft}{s}
7 0
3 years ago
Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The
maksim [4K]

Answer:

Option C.

Step-by-step explanation:

Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.

Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.

Using triangle proportionality theorem we get

\dfrac{SA}{SB}=\dfrac{CT}{BT}

\dfrac{SA}{10}=\dfrac{2.7}{9}

On cross multiplication we get

9\times SA=2.7\times 10

9SA=27

Divide both sides by 9.

SA=3

The length of SA is 3ft.

Therefore, the correct option is C.

8 0
3 years ago
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Can anybody help with this?
Sonja [21]

Answer:

12

Step-by-step explanation:

Because < this means less than. So therefore 5 is less than 12

5 0
3 years ago
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