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lina2011 [118]
3 years ago
14

Solving One Step Equations. SHOW YOUR WORK -6 = b/16 solve to find b

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0

Answer:

-96

Step-by-step explanation:

multiply both sides by 16

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A glass is 1/4 full. Then 24cm of orange juice is poured in. The glass is now 2/5 full. What is the total volume of the glass?​
Phantasy [73]
160cm3

2/5 - 1/4 = 8/20 - 5/20 = 3/20

(3/20)t = 24
t = 160
6 0
3 years ago
Simplify the following: 7-3[(n^3+8n)/(-n)+9n^2]
Pachacha [2.7K]
If you would like to simplify <span>7 - 3[(n^3 + 8n) / (-n) + 9n^2], you can do this using the following steps:

</span>7 - 3[(n^3 + 8n) / (-n) + 9n^2] = 7 - 3[(-n^2 - 8) + 9n^2] = 7 - 3[-n^2 - 8 + 9n^2] = 7 - 3[ - 8 + 8n^2] = 7 - 3[8<span>n^2 - 8] = 7 - 24n^2 + 24 = - 24n^2 + 31
</span>
The correct result would be <span>- 24n^2 + 31.</span>
7 0
3 years ago
The projected T. rex is about
dolphi86 [110]

Answer: scale\ factor=230

Step-by-step explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

actual\ height=2\ cm

The height of the projected T-rex is:

projected\ height=4.6\ m

Make the conversion from meters to centimeters:

projected\ heigth=(4.6\ m)(\frac{100\ cm}{1\ m})\\\\projected\ heigth= 460\ cm

Therefore, the scale factor will be:

scale\ factor=\frac{projected\ heigth}{actual\ heigth}

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230

7 0
3 years ago
Your grandparents invested $2,000 for you on the day you were born. How much will this investment be worth on your 25th birthday
algol [13]

We know that, Amount in Compound interest is given by :

\bigstar \ \ \boxed{\sf{Amount = Principal\bigg(1 + \dfrac{Rate \ of \ Interest}{100}\bigg)^{Time \ Period}}}

Given : Principal = $2000

Given : Annual yield is 5% and the interest is compounded quarterly

It means : Interest is compounded 4 times in a year

\implies \sf{Rate \ of \ Interest = \dfrac{R}{4} = \dfrac{5}{4}}

\sf{\implies Time \ period = (25 \times 4) = 100}

Substituting all the values in the formula, we get :

\implies \sf{Amount = 2000\bigg(1 + \dfrac{\dfrac{5}{4}}{100}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(1 + \dfrac{5}{400}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(1 + \dfrac{1}{80}\bigg)^{100}}

\implies \sf{Amount = 2000\bigg(\dfrac{81}{80}\bigg)^{100}}

\implies \sf{Amount = 2000 \times (1.0125)^{100}}

\implies \sf{Amount = 2000 \times 3.463}}

\implies \sf{Amount = 6926.8}

8 0
3 years ago
There are 24 boys and 16 girls on the playground. What is the ratio of boys to total number of children on the playground?​
Reil [10]

Answer:

6 to 4

Step-by-step explanation:

24/4 = 6 Boys

16/4 = 4 Girls

Boys 6 / Girls 4

5 0
3 years ago
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