A math test had 26 questions. The questions were either true/false or multiple choice. The true/false questions were worth 2 points each and the multiple choice were worth 5 points each. If the test is worth 100 points, how many of each type of question are included on the test?

Answers

Answer 1

Answer:

True/ false type 10 questions

Multiple choice type 16 questions  

Step-by-step explanation:

Using the given formation we can make equations to solve for the number of questions of either type is to be included

let the no of true/false be =x

let the number of multiple choice to be included be = y

x + y=26  .............(1)

now making the equation of points

2x + 5y = 100 .........(2)

substitute y = 26-x from first equation in the second equation

2x + 5(26 - x ) = 100

2x - 5x + 130 = 100

3x=30

x=10

y =26-10=16


Related Questions

PLEASE HELP! WILL GIVE BRAINLIEST AND 30 POINTS!

What is the range of possible values for x?
The diagram is not to scale.
Answer in this format: a < b < c

Answers

Have you figured out the answer to this yet

I WILL GIVE YOU BRAINLIEST

Answers

Answer:

3 million or 3 x 10^6

Step-by-step explanation:

You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6

Please identify the common angles and sides or these triangles.

Answers

Answer:

see attached image

Step-by-step explanation:

What value of p makes the equation true?
-3p + 1/8 = -1/4

Answers

Answer:

p = 1/8

Step-by-step explanation:

Hi there !

⁸⁾-3p + 1/8 = ²⁾- 1/4

- 24p + 1 = - 2

- 24p = - 2 - 1

- 24p = - 3 | (-)

24p = 3

p = 3⁽³/24

p = 1/8

Good luck !

A family is driving at a steady rate on their vacation. The graph shows the relationship between the time and distance from home. What is the constant of proportionality for this graph?

92 miles per hour
460 miles per hour
46 miles per hour
2/92 miles per hour

Answers

Answer:

46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot

Step-by-step explanation:

in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant

Answer:

46 miles per hour

Step-by-step explanation:

2x46=92

92÷2=46

92-46=46

HELP HELP HELP PLEASE

Answers

Answer:

3/5 lmk if you need the work

Step-by-step explanation:

Solve each inequality. p + 5 < 10 A. p < –15 B. p < 5 C. p < 15 D. p < –5

Answers

Answer:

B) p<5

Step-by-step explanation:

If 10^2=100,
10^3=1000
10^4=10000,
what is 1000^2/3

Answers

[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]

A bakery sells 8 lemon poppy muffins for every 1 bran muffin sold. Which table represents the relationship between lemon poppy and bran muffins?
A
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
1616 99
3232 2525
B
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
2626 55
2828 77
C
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
4040 55
5656 77
D
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
2424 44
4040 66
please answer the question im sturggling .

Answers

Answer:

A 1

Step-by-step explanation:

8x11=88

1x11=11

what point is on the graph of f(x) =6^x​

Answers

Answer:

The point (1 | 6) is on the graph.

Step-by-step explanation:

Answer:

it is 1/6

Step-by-step explanation:

In the diagram shown to the rig m

Answers

I need it to can some one help us

what's the distance between the points (4,3) and (16,8)

Answers

Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Answer:   13 units

===========================================

Work Shown:

The two given points are [tex](x_1,y_1) = (4,3)[/tex] and [tex](x_2,y_2) = (16,8)[/tex]

Use the distance formula

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(4-16)^2+(3-8)^2}\\\\d = \sqrt{(-12)^2+(-5)^2}\\\\d = \sqrt{144+25}\\\\d = \sqrt{169}\\\\d = 13\\\\[/tex]

How to factor y^3 +2y^2 + 2y + 1

Answers

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1  

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

      = -1 + 2 - 2 + 1

      = 0

As, P(-1) = 0, (y + 1) is a factor.

  Use synthetic division or remainder theorem.

-1        1          2           2           1

           0        -1            -1         -1        

           1          1            1            0

quotient = y² + y + 1

y³ + 2y² + 2y + 1  = ( y + 1) (y² + y + 1)

 

Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.

Answers

Answer:

the input is the number or gallons aka b

the output is the balance in the account aka c

and the two points described are (5,442) and (13,226) aka c

Step-by-step explanation:

i did it on edge and got it right :)

Answer:

here the answer

Step-by-step explanation:

Here is the equation of four straight lines. Two of these lines are parallel. Which two
lines? (3)

Line A y = 2x+3
Line B 2y = 6- 3x
Line C 4x -2y =3
Line D y = 3-2x

Answers

Answer:

Line A and Line C are parallel.

Step-by-step explanation:

-3b+2=4b+9
pls answer hahaha

Answers

b=-1 Thats the answer :)

choose the correct congruence statement

Answers

Answer:

To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.

Step-by-step explanation:

Kate is baking pies for the teachers lunch at her school. She plans to give every teacher 16of a pie. She decides to bake10 pies.

Answers

Answer:

the answer is 260

Step-by-step explanation:

What is the equation of the line that passes through the point (-3, 7) and has a
slope of 1/3?

Answers

Answer:

y=[tex]\frac{1}{3}[/tex]x+8

Look at the number 451,433. What place is the 5 in?

Answers

Answer:

Step-by-step explanation:

the 10,000's column

hope this helped :)

Answer:

[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]

Which statement is true regarding the graphed functions? ((help please :,)​

Answers

The answer is F(-2)=G(-2) . Even tho they aren’t actual coordinates on the graph they are the points where the two lines intersect

What is the measure of JKL

Answers

The measure of JKL is 75 degrees

Answer:

Did you insert a picture because I cant see one

PLEASE HELP I WILL GIVE YOU BRINLIST
Which table of values represents the equation Cost = Number of toppings x 2 + 3 *

Answers

The second one

Ex;
2(0)+3=3
2(1)+3=7

x-7(x-2)=10x+9-x
i need the answer asap pls

Answers

Step-by-step explanation:

x−7(x−2)=10x+9−x

Step 1: Simplify both sides of the equation.

x−7(x−2)=10x+9−x

x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)

x+−7x+14=10x+9+−x

(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)

−6x+14=9x+9

−6x+14=9x+9

Step 2: Subtract 9x from both sides.

−6x+14−9x=9x+9−9x

−15x+14=9

Step 3: Subtract 14 from both sides.

−15x+14−14=9−14

−15x=−5

Step 4: Divide both sides by -15.

−15x−15=−5−15

x=13

Answer:

x=13

Helpppp!! I don't understand this??????
At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other???????

Answers

Answer:

$3.77

Step-by-step explanation:

First, add all of the numbers together:

$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65

Next, divide that number by the number of numbers:

22.65/6=3.77

<3

!!!BRAINY AND 10 PTS!!!

Answers

Answer:

Top left

Step-by-step explanation:

PLEASE HELP ME If the mamba roller coaster at worlds of fun speeds up from 10mph to 78mph in 2s what is the acceleration?

Answers

34 mph per second in acceleration.

A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2

Event Cost: 500+20x

If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.



A
$5.69≤x

B
$5.69≤x≤$12.33

C
$3.29≤x

D
$3.29≤x≤$21.29

Please help.

Answers

The value of the x should be more than or equal to 5.69. Then the correct option is A.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

A school is planning a fundraiser with all profits going to charity.

Ticket Sales: 200x − 10x²

Event Cost: 500 + 20x

The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.

             Event cost − Total sales  ≥ Profit

         (500 + 20x) − (200x − 10x²) ≥ 200

− 200x + 10x² + 500 + 20x − 200 ≥ 0

                         10x² + 180x − 700 ≥ 0

                         10x² − 180x + 700 ≥ 0

                                  x² − 18x + 70 ≥ 0

On simplifying, we have

(x − 5.69) (x − 12.33) ≥ 0

                               x ≥ 5.69, 12.33

Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points

Answers

Answer:

The equations of the line are

y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B

y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y1=m(x-x1)[/tex] , where

m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is  [tex]m=\frac{y2-y1}{x2-x1}[/tex]

∵ The line passes through points (-4, -7) and (3, 2)

x1 = -4 and y1 = -7

x2 = 3 and y2 = 2

→ Use the rule of the slope above to find it

∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]

The slope of the line is [tex]\frac{9}{7}[/tex]

→ Substitute the values of m and (x1, y1) in the form of the equation above

∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)

∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

→ Substitute the values of m and (x2, y2) in the form of the equation above

∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

→  Look at the answers to find the same equations

Answers B and E have the same equations

Let y^4+5x=11y 4 +5x=11y, start superscript, 4, end superscript, plus, 5, x, equals, 11. What is the value of \dfrac{d^2y}{dx^2} dx 2 d 2 y ​ start fraction, d, squared, y, divided by, d, x, squared, end fraction at the point (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis?

Answers

Answer:

[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

Step-by-step explanation:

Given the expression  [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]

This differentiation will be implicit (indirect) as shown:

[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]

Differentiating the second time using quotient rule:

[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

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