Your next Pre-Algebra test is worth 93 points and contains 38 multiple choice and short answer problems. Each
multiple choice problem is worth two points and each short answer is worth three points. How many of each type of
problem is on the test?

Answers

Answer 1

Answer:

There are 21 multiple-choice problems and 17 short answers.

Step-by-step explanation:

Let there are x multiple-choice problems and y short answers.

ATQ,

x+y = 38 ....(1)

Each  a multiple-choice problem is worth two points and each short answer is worth three points.

2x+3y = 93 ....(2)

Multiply equation (1) by 2.

2x+2y = 76 ....(3)

Subtract equation (2) and (3) we get :

2x+3y-(2x+2y) = 93-76

2x+3y-2x-2y = 17

y=17

Put the value of y in equation (1).

x+17 = 38

x=21

Hence, there are 21 multiple-choice problems and 17 short answers


Related Questions

Simplify the following 7-8c+3-6c

Answers

Answer:

-14c+10

Step-by-step explanation:

add the -8c and -6c together and add 7 and 3 together. number comes after the variable

−14+10



Jdjjdjdjdjdhdhdhd

Which word describes the figure?
O parallelogram
O rhombus
O quadrilateral

Answers

The figure is not there

Answer:

THERE IS NO DARN SHAPE MAN

Step-by-step explanation:

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

The Second One

Step-by-step explanation:

Commutative Property

Module 11 and 12 Exam On Level
winst vatue of x make this equation true?
-90 = -100 +x

Answers

10=x
but variables on one side and constants on the other

CAN YOU HELP ME,TYvery much

Answers

Answer:

C

Step-by-step explanation:

(x-3)+7

Answer:

A

Step-by-step explanation:

b would +3 which is not right

c is also right...

d would be -x which is not right

What is the volume of this right cone?
27 cm
200cm
213 cm
300 cm

Answers

213 cm i believe is the correct answer.

If you ran a lemon aide stand and you sold 3 cups of lemonade to each person at .50 cents per cup,
how much money did you make selling to 25 people?

Answers

Answer:

$37.50

Step-by-step explanation:

{25(3)}0.50

-25 people times 3 cups for each person= 75

-0.50 times the amount of cups= 37.50

You would make 37 dollars and 50 cents.

I’m having a crisis so please help 7x-19<16

Answers

Answer:

5 i believe correct me if im wrong

Step-by-step explanation:

To work this problem out you would do it as if it were just a simple equation

7x-19<16 (you would first have to add 19 to both sides)

7x<35 (then you would divide by 7 to get the variable by itself)

x<5 ( you answer would then be 5)

arrange the following is ascending order -12 8 -14 6 0

Answers

Answer:

-14, -12, 0, 6, 8

Step-by-step explanation:

Answer: -14, -12, 0, 6, 8

Step-by-step explanation:

This is correct because -14 is the number with the smallest value so it belongs last. Then comes -12, 0, 6, 8.

Hope this helps ;)

What is the value of (x)?​

Answers

Answer: -6

Step-by-step explanation: 7 + -6 = 1

:\

Answer:

x= -6

Step-by-step explanation:

x+7=1

1-7= - 6

SO , -6+7= 1

Calculate or Simplify the value of each expression
a {-8} . 2/3
b {-8} .-2/3
c -18/3
d 18/-3
e -18/-3

Answers

Answer:

Step-by-step explanation:

[tex]b) (-8)*\frac{-2}{3}=\frac{(-8)*(-2)}{3}=\frac{16}{3}=5\frac{1}{3}\\\\c) \frac{-18}{3}= -6\\\\d) \frac{18}{-3}=\frac{6}{-1}= -6\\\\e) \frac{-18}{-3}=\frac{18}{3}= 6[/tex]

Evaluate 2x3 – 3 when x is 2.
Helpp

Answers

Answer:

21

hope it's helpful ❤❤❤❤❤

THANK YOU.

find the missing side length
I will give brainliest to first correct answer

Answers

answer is A

(20 characters minimum)

The perimeter of a rectangular meadow is 1004 m. What
will be the sum of the length and breadth of the meadow ?​

Answers

Answer:

hope it works for u

Step-by-step explanation:

Given the length of the rectangle = l

the breadth  of the rectangle = b

perimeter of the rectangle = sum of length of all sides of the rectangle  

                                             = l+ b+ l+ b

                                             =2 l+2 b

                                             =2( l+ b)

∴ perimeter of the rectangle =2( l+ b)

as given perimeter = 1004 m

hence ,

2(l+ b)= 1004

(l+ b)=1004/2  = 502 m

l+ b=502 m

4÷ 33.8 PLEASEEEEEE PLEASEEEEE​

Answers

Answer:

33.8 ÷ 4 = 8.45

4 ÷ 33.8 = 0.118343195266

Step-by-step explanation:

Solve for y. 18y=126

Answers

The answer is y = 7. :)

In order to solve for y, we need to do the inverse operation (basically the opposite) of multiplication, which is division. So therefore, we divide both sides by 18 in order to get [tex]y = 7[/tex].

We plug in and check.

[tex]18 * 7 = 126[/tex]

which is correct.

What is this ?? Pls help

Answers

The answer is 1/y^13

How can you use the properties of equality to write equivalent equations?

Answers

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.

a = b and c ≠0, then a c = a c . Another example Consider the equation 12 = 12. Divide both sides by 4.

helpppp!!!!!!!!!!!!!

Answers

Answer:

a

Step-by-step explanation:

mikey usually buys a box of 18 candy bars for 12.49 whats the unit rate of price per candy bar

Answers

Answer:

1.44

Step-by-step explanation:

1 box 18 candy bars each box 12.49

18 divide by 12.49 equals 1.44 each candy bars

What is the area of this triangle?

Answers

If 2 plus 2 is four... then what the hell is this?

What is 5884 diveded by 94?

Answers

Answer:

62.5957447

Step-by-step explanation:

= 62 R 56

= 62 56/94

= 62 28/47

Answer:

The answer is 62.6

Step-by-step explanation:

math uhmmm help please i cant seem to figure it out

Answers

Answer:

B

Step-by-step explanation:

Answer:

I believe the first answer is correct

Which expression is equivalent to
x
2

28
x
+
196
?

Answers

Answer: (x+14)^2

Step-by-step explanation:

Use a triple integral to find the volume of the tetrahedron T bounded by the planes x+2y+z=2, x=2y, x=0 and z=0

Answers

Answer:

Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0

We have,

z = 0 and x + 2y + z = 2

⇒ z = 2 - x - 2y

∴ The limits of z are :

0 ≤ z ≤ 2 - x - 2y

Now, in the xy- plane , the equations becomes

x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)

Firstly , we find the intersection between the lines x = 2y and x + 2y = 2

∴ we get

2y + 2y = 2

⇒4y = 2

⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5

⇒x = 2([tex]\frac{1}{2}[/tex]) = 1

So, the intersection point is ( 1, 0.5)

As we have x = 0 and x = 1

∴ The limits of x are :

0 ≤ x ≤ 1

Also,

x = 2y

⇒y = [tex]\frac{x}{2}[/tex]

and x + 2y = 2

⇒2y = 2 - x

⇒y = 1 - [tex]\frac{x}{2}[/tex]

∴ The limits of y are :

[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]

So, we get

Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]

             = [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]

             = [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]

             = [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]

             = 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0

             = 1 - 1 + [tex]\frac{1 }{3}[/tex] =  [tex]\frac{1}{3}[/tex]

So, we get

Volume =[tex]\frac{1}{3}[/tex]

The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.

Given,

The tetrahedron T is bounded by the planes,

[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]

From equation (1),

[tex]z=2-x-2y[/tex]

So the limits of z will be from 0 to [tex]2-x-2y[/tex].

Now, from equation (2),

[tex]y=\frac{x}{2}[/tex]

and from equation (1), putting z=0 we get,

[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]

So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].

On solving equation (1), for x we get

[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]

[tex]x=1[/tex].

So the limits of x will be from 0 to 1.

The volume of tetrahedron will be,

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]

[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]

[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]

[tex]V=1-1+\frac{1}{3}[/tex]

[tex]V=\dfrac{1}{3}[/tex]

Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.

For more details on Triple integration follow the link:

https://brainly.com/question/12632797

What type of solution represents the system x + y = 8 2x + 2y = 16

Answers

Answer:

Subtract y from both sides of the equation.

x=8−y

2x+2y=16

Replace all occurrences of x with 8−y in each equation.

16=16

x=8−y

Remove any equations from the system that are always true.

x=8−y

Step-by-step explanation:

Help pls this is timed!!!!!!! Pls and thank you ;P
Who supported the formation of Washington Territory out of a belief that it was America’s destiny to settle the Pacific Northwest?

A.)President Millard Fillmore
B.)Governor Isaac Stevens
C.)Oregon Territory’s northern settlers
D.)Oregon Territory’s southern settlers

Answers

Answer:

A. President Millard Fillmore

The answer is letter A !

Help! I have 20 minutes

Answers

Answer:

a = 80

b = 40

c = 58

d = 19

e = 34

f = 36

Pls mark brainliest. Thanks!

Answer:

a = 80

b=40

c=58

d=19

e=34

f=36

Step-by-step explanation:

3+ (5+4)= 3+ (4+5) illustrates which property? A.Commutative property of multiplication. B. dentity property of addition Associative property of addition. C. Commutative property of addition​

Answers

Answer:

A, commutative

Step-by-step explanation:

Commutative property means that you can switch around the numbers, and get the same answer. However, the commutative property is only compatible for addition and multiplication. I.e. 2+6 equals 6+2, but 2-6 does not equal 6-2.

A tailor uses 225/8 yards of fabric to make four suits. The fabric costs $44.50 per yard. How much does the tailor pay for fabric to make the four suits? A $100.68 B $67.13 C $1,006.81 D $268.50​

Answers

Cost =44.5/yardTotal yards=225/8

Total cost:-

[tex]\\ \sf\longmapsto 225/8(44.5)[/tex]

[tex]\\ \sf\longmapsto 28.1(44.5)[/tex]

[tex]\\ \sf\longmapsto 1251.5\$[/tex]

Recheck the question options

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