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LenKa [72]
3 years ago
15

Your math test has 38 questions and is worth 200 points. This test consists of multiple-choice questions worth 4 points each and

open-ended questions worth 20 points each. How many of each type of question are there?
Mathematics
1 answer:
Furkat [3]3 years ago
8 0

Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3

Step-by-step explanation:

Let x represent the number of multiple-choice questions in the math test.

Let y represent the number of open-ended questions in the math test.

The math test has 38 questions. It means that

x + y = 38

This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that

4x + 20y = 200 - - - - - - - - - -1

Substituting x = 38 - y into equation 1, it becomes

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

48/16

y = 3

Substituting y = 3 into x = 38 - y, it becomes

x = 38 - 3 = 35

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At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equati
Ganezh [65]

Answer:

y=7x-513

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{124-61}{91-82}

m=\frac{63}{9}=7

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=7  ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

61=7(82)+b

61=574+b

b=-513

substitute

y=7x-513

4 0
3 years ago
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
marishachu [46]

Answer:

\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18

Step-by-step explanation:

We have been given the function

f(x)=-2x^2+4x^3+3x^2+18

From the rational zeros theorem, we have

\text{Possible rational zeros}=\pm\frac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}

From the given function,

Leading coefficient = 2

Factors of 2 are 1,2

Constant term = 18

Factors of constant term = 1, 2, 3, 6, 9, 18

Hence, we have

\text{Possible rational zeros}=\pm\frac{1,2,3,6,9,18}{1,2}\\\\\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18

6 0
3 years ago
HELP 13 POINTS!!!!!!!!!!!!!!!!!!
ahrayia [7]

Answer:

4^{-8} \\4^{-2}\\4^{8}\\4^2

Step-by-step explanation:

For the first few exponents multiply and the rest they add because like terms.

The trick is that when you raise a power to a power you multiply. Otherwise you add if the base value is the same.

5 0
3 years ago
el precio de la mochila que compró Juan e 18,500 una tienda la ofreció en 2 centenas más qué precio tenía ​
sweet [91]

Answer:

18,502 no se no entendi muy bien

Step-by-step explanation:

3 0
3 years ago
Solve the system of equations by elimination.<br><br> 2x+8y=10<br><br> -4x-9y=-13<br><br> x = y =
Reptile [31]
So use cancelation
multiply first equation by 2
2x+8y=10
times 2
4x+16y=20
now add

4x+16y=20
<u>-4x-9y=-13   +
</u>0x+7y=7
7y=7
divide by 7
y=1

subsittue

2x+8y=10
2x+8(1)=10
2x+8=10
subtract 8 from both sides
2x=2
divide by 2
x=1


x=1
y=1
<u />
8 0
3 years ago
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