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4 years ago

HELP ASAP! 20 POINTS! 5 QUESTIONS!

Mathematics

1 answer:

Ainat [17]4 years ago

6 0

Answer:

1. Let the unknown number be x

The phrase “8 and” means addition so that’s 8 +

5 times a number is multiplication so that’s 5 times x, or simply, 5x

So the correct equation would be 8 + 5x = 43

And the correct value for variable x is 7

8 + 35 = 43

2. A

3. Here we can see that there has to be a single unknown variable and using that variable we have to create an equation. That equation will ultimately help us to find the exact value of the variable. This way we can easily reach the answer that is asked in the question.

Let us assume the length of the first piece = x

Length of the second piece = 2x

Length of the third piece = 6x

Now we can get to the equation

x + 2x + 6x = 180

9x = 180

x = 180/9

= 20

So the length of the first piece of the board is 20 feet.I hope i have explained the problem to your satisfaction and understanding

4. C

5. B

Step-by-step explanation:

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3 years ago

Urgently need help!!! I will mark the best answer as BRAINLIEST!!!!!

Lady bird [3.3K]

C. 16.4

Step-by-step explanation:

The formula to apply here is;

A=P(1+r/n) ^nt where

A=final amount

P=starting amount

r=rate of interest annually

n=number of compounding per year

t=time in years

Given ; P=$500, A=$750 , r=2.5%=0.025 , t=?,n=1

Substitute values;

A=P(1+r/n)^nt

$750=$500(1+0.025)^t

750=500(1.025)^t

750/500=(1.025)^t

1.5=(1.025)^t

log 1.5 =t log (1.025)

log 1.5/log 1.025 = t

16.4 =t

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4 years ago

Find m abc (6x-7) (4x+23)

Salsk061 [2.6K]

Answer:

m∠ABC = 83°

Step-by-step explanation:

The angle ∠abc and ∠dbe are opposed by the vertex. By definition "<em>Two angles opposite the vertex are congruent or equal</em>"

So ∠abc = ∠dbe

Then, to solve this problem you must match both expressions and clear the variable x.

$(6x-7) = (4x + 23)\\6x - 7 -4x = 23\\2x = 30\\x = 15$

Now substitute x = 15 in the given expression for the angle ∠abc. (6x-7)

So, we have:

$6(15) -7\\= 90 - 7\\= 83\°$ °

Finally, the angle is 83°

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