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kvasek [131]
3 years ago
14

If the quotient of 920 and 5 is decreased by 79, what is the difference

Mathematics
2 answers:
s2008m [1.1K]3 years ago
6 0

Answer: The answer is 105

Step-by-step explanation:

First you divide 920 by 5 = 184

Then you subtract 79 from the answer

= 105

arlik [135]3 years ago
4 0

Hey!

----------------------------------------------

\large\boxed{105}

----------------------------------------------

Steps To Solve:

~Divide

920 / 5 = 184

~Subtract

184 - 79 = 105

----------------------------------------------

Hope This Helped! Good Luck!

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Find the altitude and area of an equilateral triangle
Nataliya [291]
If you look at the attached graphic, you will see that the altitude (or height) of an equilateral triangle is:
Height = side length * sq root (3) / 2
Area = side^2 * sq root (3) / 4




4 0
3 years ago
What does OD=<br> Pls answer
Elodia [21]

Answer:

OD = 9.375"

Step-by-step explanation:

We can draw a line from O to B to create a triangle.

Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.

Triangle ACB, we can use pythagorean theorem to figure out CB:

AC^2 + CB^2 = AB^2

15^2 + CB^2 = 17^2

225 + CB^2 = 289

CB^2 = 64

CB = 8

Now relating the corresponding sides, we can figure out OD:

\frac{OD}{DB}=\frac{AC}{CB}\\\frac{OD}{8-3}=\frac{15}{8}\\\frac{OD}{5}=\frac{15}{8}\\8OD=5*15\\OD=\frac{5*15}{8}\\OD=9.375

8 0
3 years ago
Select all of the points that are solutions to the system of linear inequalities that is listed below 10x + 4y &lt; 12 8x -3y &g
liberstina [14]

Answer:

(3, -8) and (2, -10)

Step-by-step explanation:

Given

10x + 4y < 12

8x - 3y > 20

Required

Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)

(3, -8)

x = 3 and y = -8

10x + 4y < 12

10 * 3 + 4 * -8 < 12

30 - 32 < 12

-2 < 12 --- True

8x - 3y > 20

8 * 3 - 3 * -8> 20

24 +24> 20

48> 20 --- True

(2, 5)

x = 2 and y = 5

10x + 4y < 12

10 * 2 + 4 * 5 < 12

20 + 20 < 12

40 < 12 --- False (No need to check the other inequality)

(-5, 1)

x = -5 and y = 1

10x + 4y < 12

10 * -5 + 4 * 1 < 12

-46 < 12 --- True

8x - 3y > 20

8 * -5 - 3 * 1 > 20

-43 > 20 --- False

(10, 3)

x = 10 and y = 3

10x + 4y < 12

10 * 10 + 4 * 3 < 12

112 < 12 --- False (No need to check the other inequality)

(2, -10)

x = 2 and y = -10

10x + 4y < 12

10 * 2 + 4 * -10 < 12

-20 < 12 --- True

8x - 3y > 20

8 * 2 - 3 * -10 > 20

46 > 20 --- True

Hence, the solution to the inequalities are:

(3, -8) and (2, -10)

4 0
2 years ago
Use the game spinner for questions 1-4. In your final answer, include all necessary calculations.
IrinaVladis [17]

Answer:

P (Even number)  =  1/2

P(spinner will land on an odd number) = 1/2

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Step-by-step explanation:

Here, while spinning the spinner total possible outcomes

are 8 = {1,2,3,4,5,6,7,8}

Now, \textrm{P(E)}  = \frac{\textrm{Number of favorable outcomes }}{\textrm{Total numberof outcomes}}

a) E: Probability of getting even number

Favorable outcomes are {2,4,6,8}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

b)E: Probability  that the spinner will land on an odd number.

Favorable outcomes are {1,3,5,7}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

c) E: Probability  that the spinner will not land on 2 or 3

Favorable outcomes are {1, 4,5,6,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

d) E: Probability  that the spinner will not land on a multiple of 3

Favorable outcomes are {1,2,4,5,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

3 0
3 years ago
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Gekata [30.6K]

Answer:

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Step-by-step explanation:

x = 2.5

5( 2.5 )

12.5

hopefully this helps you out

5 0
3 years ago
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