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3 years ago

Which equation is equivalent to the equation 5x + 30 = 45?

Mathematics

1 answer:

Naily [24]3 years ago

7 0

Answer:

x+6=9

Step-by-step explanation:

5x+30=45

divide by 5

x+6=9

5x+30=45 is equivalent to x+6=9

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Bryce is looking at a map of a theme park. The map is laid out in a coordinate system. Bryce is at (2, 3). The roller coaster is

Sunny_sXe [5.5K]

Answer:

Bryce is closer to the <u>roller coaster</u> as compared to the water ride.

Step-by-step explanation:

Given :

Bryce is at point (2,3)

Roller coaster is at point (7,8)

Water ride is at point (9,1)

To find whether Bryce is closer to roller coaster or the water ride.

Solution.

In order to determine the closeness of Bryce from either of the two rides, we will need to find the distance of Bryce from each of them. We can apply distance formula in order to do so.

By distance formula to find distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ .

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between Bryce (2,3) and roller coaster (7,8) can be given as:

$d_1=\sqrt{(7-2)^2+(8-3)^2}$

$d_1=\sqrt{(5)^2+(5)^2}$

$d_1=\sqrt{25+25}$

$d_1=\sqrt{50}$

$d_1=7.07$ units

Distance between Bryce (2,3) and water ride (9,1) can be given as:

$d_2=\sqrt{(9-2)^2+(1-3)^2}$

$d_2=\sqrt{(7)^2+(-2)^2}$

$d_2=\sqrt{49+4}$

$d_2=\sqrt{53}$

$d_2=7.28$ units

Thus, we can see that Bryce is closer to the roller coaster as compared to the water ride.

3 0

3 years ago

Which expression is equivalent to the sum

Furkat [3]

Answer:

B. 9(4+8)

Step-by-step explanation:

Start by simplifying the original expression:

36+72=108

Now, let's try each answer choice:

A. 18(2+3)

Add the numbers in the parentheses:

18(5)=90 --> wrong!

B. 9(4+8)

Add the numbers in the parentheses:

9(12)=108 --> correct!

C. 3(10+24)

Add the numbers in the parentheses:

3(34)=102 --> wrong!

D. 2(19+27)

Add the numbers in the parentheses:

2(46)=92 --> wrong!

Therefore the answer is B. 9(4+8)

4 0

3 years ago

What is the solution to the system of linear equations graphed below?

mario62 [17]

Answer:

Step-by-step explanation:

I took the test

7 0

3 years ago

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97.5 is 19/1/2% of what number

sasho [114]

97.5 = 19.5% of x
x = 97.5 * 100/19.5
x = 500

8 0

4 years ago

how much of an increase in wave amplitude is seen from an earthquake measuring 5.4 on the Richter scale compares to the one meas

Mkey [24]

The answer is 10 times.

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3 years ago

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