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2 years ago

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Mathematics

2 answers:

Cloud [144]2 years ago

5 0

Answer:

A) 3, B) 8 and 4, C) 12

Step-by-step explanation:

There are 3 terms: 8x^2, 4x, and 12.

The coefficiemts are numbers that come before a variable. That's why the coefficients are 8 and 4.

The constant is the number that doesn't come with a variable, thus 12.

olasank [31]2 years ago

3 0

Answer:

Part A: 3 terms

Part B: 8 and 4

Part C: 12

Step-by-step explanation:

There are 3 terms, each separated by a + sign.

8 and 4 both have variables attached to them, so they are the coefficients.

12 is the constant because it doesn't have any variables attached to it.

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Robert and Chris can skate 4 miles in 18 minutes. How far can they ride in 45 minutes?

adell [148]

Answer: Robert and Chris can skate 10 miles in 45 minutes.

Step-by-step explanation:

Let's start by finding the unit rate.

$\frac{4}{18} =\frac{2}{9} \\\frac{18}{18} =1$

Robert and Chris can skate $\frac{2}{9}$ of a mile in 1 minute. Now we can multiply both by 45 to see how far the can go in 45 minutes.

$(\frac{2}{9}) (\frac{45}{1} )\\\frac{(2)(45)}{(9)(1)} \\\frac{90}{9} \\10$

45x1=45

The can skate 10 miles in 45 minutes.

6 0

3 years ago

Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

6 0

1 year ago

Read 2 more answers

Find the equation of the line that contains the given point and has the given slope-

mylen [45]

Answer:

y-5 = -3x

y = -3x+5

Step-by-step explanation:

We can use the point slope form of the equation

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y-5 = -3(x-0)

y-5 = -3x

We can change it to slope intercept form y= mx+b by adding 5 to each side

y-5+5 = -3x+5

y = -3x+5

3 0

2 years ago

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What is 11÷165 as a decimal please answer

LuckyWell [14K]

Answer:

0.066666666

Step-by-step explanation:

also known as 0.06 repeating

6 0

2 years ago

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Solve for x.<br> 3(15 - x) = 2x

Morgarella [4.7K]

Answer:

well

Step-by-step explanation:

3 times 15 is 45

then 3 times negative x is -3x

so 45 - 3x = 2x

3 x moved to the other side turns positive

so you have

5x = 45

45÷5

x = 9

8 0

3 years ago