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zimovet [89]
3 years ago
14

on a test, a student answered 12 questions correctly. this number represents 80% of the total number of questions were on the te

st?
Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

Step-by-step explanation:So if he or she answered 12 right and got 80% then if you count to 100% at should be 14 questions I think if i am wrong sorry

12=80%

13=90%

14=100%

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Multiply each equation by a constant that would help to eliminate the y terms.
Zinaida [17]

Answer:

Therefore the required resulting equation is

6x-15y=-63\\-15x+15y=90

6 x minus 15 y = negative 63.

Negative 15 x + 15 y = 90

Step-by-step explanation:

Given:

2x-5y=-21         ......................Equation ( 1 )

3x-3y=-18         ......................Equation ( 2 )

To Find:

Expression after multiplying to eliminate y term,

Solution:

So to eliminate 'y' term we need to multiply equation 1 by a constant 3 and equation 2 by a constant -5,  such that equations  becomes

3(2x-5y)=3\times -21\\\\6x-15y=-63 .....( 1 )

-5(3x-3y)=-5\times -18\\\\-15x+15y=90  .....( 2 )

so now by adding new equation one and two we can eliminate y term that means -15y and +15y will get cancel,

Therefore the required resulting equation is

6x-15y=-63\\-15x+15y=90

6 x minus 15 y = negative 63.

Negative 15 x + 15 y = 90

3 0
3 years ago
Read 2 more answers
Someone please help me!
RideAnS [48]
For this case what you should do is evaluate values of x in the function and verify that they meet the result of f (x) shown in the graph.
 The answer is
 f (x) = - 2lxl +1
 notice that
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 f (-1) = - 2l-1l + 1 = -1
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 f (x) = - 2lxl +1
4 0
4 years ago
6 times some number equals 30
den301095 [7]
Bro the answer to that is 5
4 0
3 years ago
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Michael can mow a 250 ft2 lawn in 45 minutes. How many minutes long will it take Michael to mow his church’s 1500 ft2 lawn?
Ksju [112]
Should be 270 minutes because 1500 is 250 6 times so you do 45 minutes 6 times which ends up as 270
7 0
3 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternati
telo118 [61]

Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(x > 120)

P( x > 120) = P( z > \displaystyle\frac{120 - 105.3}{8}) = P(z > 1.8375)

= 1 - P(z \leq 1.8375)

Calculation the value from standard normal z table, we have,  

P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%

b) P(x between 100 and 110)

P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%

P(100 \leq x \leq 110) = 46.8\%

c) P(x < a) = 0.25

P( x \leq a) = P( z \leq \displaystyle\frac{a - 105.3}{8}) = 0.25

Calculation the value from standard normal z table, we have,  

P( z \leq -0.674) = 0.25

\displaystyle\frac{x - 105.3}{8} = -0.674\\\\x = -0.674\times 8 + 105.3 = 99.908 \approx 100

3 0
3 years ago
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