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AnnZ [28]
3 years ago
8

A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay

questions worth 8 points each. How many short essay questions are on the test?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

Answer:

There can be up to 12 short essay questions

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Substitute the value of the variable into the expression and simplify 37
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Abdul runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
stepladder [879]
\frac{6miles}{50min} = \frac{x miles}{35 min}  \\ 6*35 = 50*x \\ 210 =50x \\ 210/50=50x/50 \\ x=4.2
Abdul can run 4.2 miles in 35 minutes
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Sara bought 6 fish. Every month the number of fish she has doubles. After m months she will have F fish, where as. How many fish
Luda [366]

Answer:

12

Step-by-step explanation:

In one month, 6 fish

If it doubles every month, then in the 2nd month, there will be 12 fish

7 0
3 years ago
Show that sum of any two medians of a triangle is greater than the third median.
charle [14.2K]
<span><em><u>consider the length of the medians as "a" </u></em>
<em><u>so a+a=2a </u></em>
<em><u>third median =a </u></em>
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<em><u>sum of two medians of a triangle is greater than the third</u></em></span>
4 0
3 years ago
Select all the systems of equations that have exactly one solution. Group of answer choices {y=3x+1y=-3x+7 ( I know this one is
ololo11 [35]

Answer:

1) Exactly one solution

2) Exactly one solution

3) No solution

4) Infinite many solution

5) No solution

Step-by-step explanation:

As given

1)

y = 3x + 1     ......(1)

y = -3x + 7   ......(2)

Put the value of y in equation (1) , we get

-3x + 7 = 3x + 1

⇒7 - 1 = 3x + 3x

⇒6 = 6x

⇒x = 1

Now as

y = -3x + 7

⇒y = -3(1) + 7 = -3 + 7 = 4

∴ we get

x = 1, y = 4

Unique Solution ( Exactly one solution )

2)

y = 3x+ 1      ......(3)

y = x+1         .......(4)

Put the value of y in equation (3), we get

x + 1 = 3x + 1

⇒1 - 1 = 3x - x

⇒0 = 2x

⇒x = 0

Now, as

y = 3x + 1

⇒y = 3(0) + 1 = 1

∴ we get

x = 0, y = 1

Unique solution ( Exactly one solution )

3)

y = 3x + 1        ........(5)

y = 3x + 7       ........(6)

Put the value of y in equation (5), we get

3x + 7 = 3x + 1

⇒7 - 1 = 3x - 3x

⇒6 = 0

No Solution

4)

x+y=10        ........(7)

2x+2y=20  .........(8)

Divide equation (8) by 2, we get

x + y = 10    .....(9)

⇒y = 10 - x

Put the value of y in equation (7), we get

x + 10 - x = 10

⇒10 = 10

Infinite many solutions

5)

x + y = 10     .......(10)

x + y = 12     .......(11)

⇒y = 12 - x

Put the value of y in equation (10) , we get

x + 12 - x = 10

⇒12 = 10

No solution

6 0
2 years ago
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