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Inga [223]
3 years ago
5

Mr. Martin’s math test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Let x be

the number of questions worth 5 points and let y be the number of questions worth 2 points. x + y = 29, 5x + 2y = 100
Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer:

The number of questions worth 5 points is 14 and the number of questions worth 2 points is 15. 70 points can be gained from the 5 point questions and 30 points can be gained from the 2 point questions making a total of 100 points.

Step-by-step explanation:

For this problem, we have to solve for x and y. We are given two equations.

<em>x + y = 29</em>

<em>5x + 2y = 100</em>

Let's find the value of x first. We can rearrange the first equation so it'll be easier to find the value of x using the second equation.

<em>x + y = 29 → y = -x + 29</em>

Now, let's plug in this equation into the second equation.

<em>5x + 2(-x + 29) = 100</em>

Distribute 2 to (-x + 29)

<em>5x - 2x + 58 = 100</em>

Combine like terms.

<em>3x + 58 = 100</em>

Subtract 58 from 100.

<em>3x = 42</em>

Divide by 3 on both sides.

<em>x = 14 </em>

<u>So, the value of x is 14.</u>

Now, let's find the value of y. We can do this by plugging in our x into the first equation.

<em>14 + y = 29 </em>

Subtract 14 from 29.

<em>y = 15 </em>

<u>So, the value of y is 15.</u>

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frez [133]

mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest​ .

<u>Step-by-step explanation:</u>

Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest​ . Let's find out:

Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.

⇒ \frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600

⇒ \frac{8000(12)+2000(8)}{100}(x) =5600

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⇒ (960+160)(x) =5600

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6 0
3 years ago
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dedylja [7]
The answer should be 103? because when you add 103 to 42 u should get 103%.
3 0
3 years ago
What is the solution of log3x − 5 16 = 2?
Stolb23 [73]

Answer:

log (16)=2 in base 3x-5

==>16=2^(3x-5)

==>2^4=2^(3x-5)

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Step-by-step explanation:

4 0
3 years ago
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Kobotan [32]

Answer:

C

Step-by-step explanation:

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rosijanka [135]

Answer:

12

Step-by-step explanation:

If she eats 3/4 of the bag, that means she has 1-3/4 = 4/4 -3/4 = 1/4 of the bag left

The bag has 48 nuts. Take the number of nuts times the 1/4 she has left

48 * 1/4 = 12

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7 0
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