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Schach [20]
3 years ago
5

Simplify the expression 3(b+5)+b+2

Mathematics
2 answers:
forsale [732]3 years ago
7 0
Distribute the 3 using distributive properties.
• 3b+15+b+2
Now combine like terms and it is simplified
•4b+17
egoroff_w [7]3 years ago
5 0

Answer:

4b+17

Step-by-step explanation:

3(b+5)+b+2=

3b+15+b+2=

4b+17

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A 4-quart jug of juice costs $5.60. What is the price per cup?
Vinvika [58]

Answer:

$0.35 per cup

Step-by-step explanation:

<u>Step 1:  Find the unit price per quart</u>

5.60 / 4

<em>$1.40 per quart</em>

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Step 2:  Find the unit price per cup

1 quart = 4 cups

1.40 quarts / 4 cups

<em>$0.35 per cup</em>

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Answer:  $0.35 per cup

8 0
3 years ago
If n lines are drawn in a plane, how many regions do they separate the plane into? induction
grandymaker [24]
Hello,

Let's assume i the number of lines,
 u(i) the number of regions:

u_0=1\\\\&#10;u_1=2=1+1=1+u_0\\\\&#10;u_2=4=2+u_1\\\\&#10;u_3=7=3+u_2\\\\&#10;u_4=11=4+u_3\\\\&#10;u_5=16=5+u_4\\\\&#10;...\\\\&#10;\boxed{u_{n+1}=(n+1)+u_{n}}\\\\&#10;&#10;u_{n+1}=(n+1)+n+(n-1)+...+1+u_0\\\\&#10;&#10;\boxed{u_{n+1}= \dfrac{(n+1)*(n+2)}{2}+1 }
6 0
3 years ago
What is an expression equivalent to -4(-6m - 7)
nekit [7.7K]

Answer: 24m+28

Step-by-step explanation:

you would distribute the -4 threw eveything

so it would be 24m+28

6 0
3 years ago
The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already
Pepsi [2]
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The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already driven 1639.271 miles.



8 0
3 years ago
Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cub
Troyanec [42]

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}

Which means that option E is correct.

The <em>volume of a cube</em> of side length l is given by:

V = l^3

For Cube A, the volume is of 9 cubic inches, hence:

l_a^3 = 9

l_a = \sqrt[3]{9}

l_a = 9^{\frac{1}{3}}

l_a = 3^{\frac{2}{3}}

For Cube B, the volume is of 5 cubic inches, hence:

l_b^3 = 5

l_b = \sqrt[3]{5}

l_b = 5^{\frac{1}{3}}

Then, the ratio is:

r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}

To learn more about the volume of a cube, you can take a look at brainly.com/question/13030328

5 0
3 years ago
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