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3 years ago

What is 6(a+5)=8[a-(3-a)] ? Please write the steps to help me understand

1 answer:

3 0

first you have to distribute to the parentheses to get 6a + 30=8a-24-8a simplify for 6a + 30 = -24 then - 30 on both sides to move it for 6a = -54 divide both by 6 to get a = 9

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Bettina’s age is three times Melvina’s age. If 20 is added to Melvina’s age and 20 is subtracted from Bettina’s age, their ages

koban [17]

<span>Melvina's age is = x, Bettina's age is = 3x the equation is x + 20 = 3x - 20 subtract 3x from both sides -(3x) + x +20 = 3x - 20 - (3x) -2x + 20 = -20 subtract 20 from both sides -2x + 20 - (20) = -20 - (20) -2x = - 40 divide both sides by -2 (-2x)/-2 = (-40)/-2 x = 20 Melvinas age is 20 and Bettinas age is 60</span>

8 0

3 years ago

Read 2 more answers

The sides of a triangle are given as 3x, x - 1 and 3x + 1. If the perimeter [2]

sveta [45]

Answer:

The sides are 24cm, 7cm, and 25cm

Step-by-step explanation:

3x+x-1+3x+1=56 <---- First we combine like terms (the 1's cancel out)

7x/7=56/7 <--- Divide by 7 to isolate the variable

x=8 <--- Now that we've solved for x we need to plug it back into each side

3(8)=24

(8)-1=7

3(8)+1=25

24+25+7=56 <---- Make sure it all adds up to 56

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Find the perimeter of the shape below: (6 points)

zimovet [89]

Im pretty sure its 17.6 :)

7 0

3 years ago

Please help!! Math homework

Hitman42 [59]

<h3><u>Answer:</u></h3>

x = 66°
y = 48°

<h3><u>Step-by-step explanation:</u></h3>

<u>Since this is an isosceles triangle, the base angles must be the same. Hence, </u><u>x = 66°.</u>

<u>Since we have found x, we can find y by using the 180-angle method.</u>

=> y + 66 + 66 = 180
=> y + 132 = 180
=> y = 180 - 132
=> y = 48°

<h3><u>Conclusion:</u></h3>

Therefore, the answers are:

x = 66°
y = 48°

Hoped this helped.

$BrainiacUser1357$

4 0

2 years ago

g An irate student complained that the cost of textbooks was too high. He randomly surveyed 36 other students and found that the

blagie [28]

Answer:

A 90% confidence interval of the true mean is [$119.86, $123.34].

Step-by-step explanation:

We are given that an irate student complained that the cost of textbooks was too high. He randomly surveyed 36 other students and found that the mean amount of money spent on textbooks was $121.60.

Also, the standard deviation of the population was $6.36.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean amount of money spent on textbooks = $121.60

$\sigma$ = population standard deviation = $6.36

n = sample of students = 36

$\mu$ = population mean

<em>Here for constructing a 90% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.</em>

<em />

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level

of significance are -1.645 & 1.645}

P(-1.645 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.645) = 0.90

P( $-1.645 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.645 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.645 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.645 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.90

<u>90% confidence interval for</u> $\mu$ = [ $\bar X-1.645 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.645 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $121.60-1.645 \times {\frac{6.36}{\sqrt{36} } }$ , $121.60+1.645 \times {\frac{6.36}{\sqrt{36} } }$ ]

= [$119.86, $123.34]

Therefore, a 90% confidence interval of the true mean is [$119.86, $123.34].

5 0

3 years ago