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2 years ago

( variable son both sides of an equation)

2 answers:

5 0

Start by adding 20 to both sides to isolate '7b'. This gives you 7b = 3b + 32.

Next, Subtract 3b from both sides in order to make it so that the variable, which is 'b' in this case, is on one side of the equation.

This gives you 4b = 32.

Now divide both sides by 4 to cancel out 4b (opposite of multiplication is division).

This brings you to the answer b = 8 (32 divided by 4 is 8).

Hope this helps.

padilas [110]2 years ago

4 0

B=8 i hope this helps!!

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In monitoring lead in the air after the explosion at the battery factory, it is found that the amounts of lead over a 7 day peri

Andrew [12]

Answer:

$MOE=\pm \ 1.41$

Step-by-step explanation:

-Given that $\sigma=1.91, n=7$

-We determine the z-value corresponding to the 95% confidence level:

$z_{\alpha/2}=z_{0.025}=1.96$

-The margin of error is the degree of error from the real value and is calculated as follows:

$MOE=\pm z_{\alpha/2} (\frac{\sigma}{\sqrt{n}})\\\\=\pm z_{0.025}\times\frac{\sigma}{\sqrt{n}}\\\\=\pm 1.96\times \frac{1.91}{\sqrt{7}}\\\\=\pm 1.41$

Hence, the margin of error is $\pm 1.41$

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2 years ago

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

FromTheMoon [43]

Answer:

20 days

Step-by-step explanation:

t = time required by one worker to complete the job alone

(t+8) = time required by the other worker

So:

7.5/ t + 7.5/ (t + 8) = 1

Solve for t.

...

t = 12 days, the first guy working alone

The other worker would finish the job in 20 days.

4 0

2 years ago

Read 2 more answers

Find the length of arc XPY. Leave your answer in terms of pi.

PIT_PIT [208]

Answer:

2π m.

Step-by-step explanation:

Arc XY is 1/4 of the circumference of the circle

= 1/4 * 2π * r

= 1/2 π * 4

= 2π m.

8 0

1 year ago

Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pound less than twic

ipn [44]

Answer:

Average weight of the bags of potatoes is 3.8 pounds.

Step-by-step explanation:

Given:

Weight of the first bag, $W_{1}=2.6$ pounds.

Weight of the second bag is 0.4 pounds less than twice the weight of first bag. This means,

$W_{2}=2W_{1}-0.4=2(2.6)-0.4=5.2-0.4=4.8\textrm{ pounds}$

Weight of the third bag is 0.6 pounds more than that of the first bag. This means,

$W_{3}=W_{1}+0.6=2.6+0.6=3.2\textrm{ pounds}$

Weight of the fourth bag is 0.3 pounds less than that of the second bag. This means,

$W_{4}=W_{2}-0.3=4.8-0.3=4.5\textrm{ pounds}$

Therefore, the average weight of the bags of potatoes is given as the sum of all the weights and then divide the sum by 4. Therefore,

$W_{average}=\frac{W_{1}+W_{2}+W_{3}+W_{4}}{4}=\frac{2.6+4.8+3.2+4.5}{2}=\frac{15.1}{4}=3.775\approx 3.8$

Therefore, average weight of the bags of potatoes is 3.8 pounds.

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2 years ago

Kiran scored 36 baskets in 1 week. She scored 1/2 of the baskets on the weekend. She scored 1/4 of them on Tuesday, she scored 1

notka56 [123]

Answer:

6 baskets did Kiran score on Thursday

Step-by-step explanation:

As per the statement:

Kiran scored 36 baskets in 1 week.

On weekend she scored = $\frac{1}{2} \cdot 36 = 18$ baskets.

She scored 1/4 of them on Tuesday

⇒On Tuesday she scored = $\frac{1}{4} \cdot 36 = 9$ baskets

She scored 1/12 of them on Wednesday

⇒On Wednesday she scored = $\frac{1}{12} \cdot 36 = 3$ baskets.

Then;

She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.

Rest on Thursday she scored = 36 - 30 = 6 baskets.

Therefore, 6 baskets did Kiran score on Thursday

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2 years ago