A math problem has 25 questions.Some are worth 2 points and some are worth 3 points. The test is worth 60 points in total. Which systems can be used to determine the number of 2 points and the number of 3 points on the test?

Answers

Answer 1

Answer:

There can be many possibilities

Possibilities:

one possibilities that is perfect according to me is:-

15questions of 2 points

15×2=30 points

.

.

10questions of 3 points

10×3=30 points

.

.

Total =30+30=60 points

.

.

Hope it helped you

lf not then I am sorry for this.

Bye

.

.

Good morning

Good evening

Good night

Answer 2

The system reveals that there are 15 questions worth 2 points and 10 questions worth 3 points on the test.

Given:

Total question = 25

Marks for question= 2 or 3 points

Total marks = 60

Let x be the 2-point questions and y be the number of 3-point questions.

As, there are a total of 25 questions then

Equation1 : x+ y= 25

and, total points in the test is 60 then

Equation 2 : 2x+ 3y = 60

From equation 1: y= 25 -x.

Substitute y = 25 -x  into the Equation 2

2x + 3(25-x) = 60

2x + 75- 3x= 60

75 - x = 60

-x = 60 - 75

-x = -15

x= 15

Now, the value of y is

y = 25 -x

y = 25 - 15

y =  10

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Related Questions

given the slope of the line and one point that it passes through, represent the equation of the line in point-slope form. then rewrite the equation in slope-intercept form.

(-4,1);m=-2/3

Answers

Answer:

y=[tex]-\frac{2}{3}[/tex]x[tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

y=mx+c

y= [tex]-\frac{2}{3}[/tex]x+c

substitute (-4;1)

1=-[tex]-\frac{2}{3}[/tex](-4) +c

1-[tex]\frac{8}{3}[/tex]=c

c=[tex]-\frac{5}{3}[/tex]

Answer:

Step-by-step explanation:

answer on edmentum

Brody has decided to buy a new baseball glove. The regular price of the glove is $185. It is on sale for 15% off. Sales tax is 8%. What is the cost of the baseball glove after the discount and sales tax are applied?

Answers

Answer:

$169.83 total price after sales tax

-1.9 x -4.5 x -5.2 = ?

Answers

Answer: -44.46

Step-by-step explanation:if you multiply it all together the answer is -44.46

PLZ HLP Given the equation 5x + y = 7, which equation below would cause a consistent-independent system?

Group of answer choices

10x + 2y = 14

−15x − 3y = −6

6x + 2y = 7

5x + y = −7

Answers

Answer:

the equation D ) would cause a consistent-independent system.

Step-by-step explanation:

A ) 5 x + y = 7  /*( -2 )

    10 x + 2 y = 14

    --------------------

    - 10 x - 2 y = - 14

      10 x + 2 y = 14

   ------------------------

       0 x = 0  ( Dependent system )

B ) 5 x + y = 7  / *  3

    - 15 x - 3 y = - 6

    --------------------------

    15 x + 3 y  = 21

    - 15 x - 3 y = - 6

  -------------------------

        0 x = 15 ( Inconsistent system )

C )   5 x + y = 7

       5 x + y = - 7  / * ( - 1 )

       ---------------------------

       5 x + y = 7

      - 5 x - y = 7

    ------------------

        0 x = 14  ( Inconsistent system )

D ) 5 x + y = 7  / * ( - 2 )

     6 x + 2 y = 7

     ------------------

      - 10 x - 2 y = - 14

        6 x   + 2 y = 7

      -----------------------

       - 4 x = - 7;     x = 7/4;   y = - 7/4

We went over this like 3 times. It sounds and looks like pure gibberish

Answers

Answer:

3 pencils

Step-by-step explanation:

eraser= 0.25

pencil= 0.75

2(0.25)= cost of erasers

0.5 + p=2.75 (p=pencils)

-0.5         -0,5

p=2.25

divide 2.25 by 0.75

=3

Teresa has a $100 gift card to her favorite restaurant. Each day, she uses her gift card to buy the same lunch for $8.50. Colin has a $75 gift card to the same restaurant. His lunches cost $6 each. Which inequality shows Teresa's gift card balance to be greater than Colin's gift card balance?

Answers

Answer:

Thinking about the equation and the depth I believe that the inequality would be:

100 is greater than 75. If not that I would think the answer is 100-8.50 is greater than 75-6. The last resort would be 12 is greater than 11.

Step-by-step explanation:

a pen is randomly picked from a box that contains 12 red pen,13 blue pen and 5 black pen. calculate the probability of getting a black pen.​

Answers

12 plus 13 plus 5 is 30
5 divided by 30 is .16666667
Move the decimal get 16%

Someone please help I don’t understand!!!

Answers

Answer:

y=3

Step-by-step explanation:

This is because it is a straight line, there is no need for x-intercepts or y-intercepts because it already intercepts y at y=3.So, your answer is y=3

Work out the percentage change when a price of £20 is increased to £22.

Answers

Answer:

Step-by-step explanation:

20 increased to 22

20/22= 10%

10% of 20.00 is $2.00

2+20 = 22

22-20=2 2/20 = 1/10 = 10% change

On a piece of paper graph, y < -2x

and then give me a picture of this paper so i can see what it looks like

Answers

Answer:

Step-by-step explanation:

This is a dotted line.

Hi, I just want to say have a great day! Remember to eat if you haven’t yet, and I love you! God Bless You :)

Answers

Answer:

Aww! Thanks! Have a great day as well!

Step-by-step explanation:

Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d. functions Please select the best answer from the choices provided A B C D

Answers

Answer:

b

Step-by-step explanation:

All I need are four equations of parallel lines

Answers

questions

1) through: (2, 3), parallel to y = 4x - 1

2) through: (5, -4), parallel to y = -

3/5x +1

3)through: (1, 2), parallel to y = 6x + 3                                                        

4)through: (-1, -1), parallel to y = -4x + 1

answers=

1)y = 4x - 5

2)y = - 3/5-1

3) y = 6x - 4

4)y = -4x - 5

Which table represents y as. Function of x?

Answers

i would say j but i can’t get my mind on which one

PLEASE HELP...I WILL GIVE BRAINLIEST AND THANKS
A)On the grid, draw the graphs of y=x+2 and x+y=3
b) use the graph to solve the simultaneous linear equations y=x+2 and x+y=3

Answers

9514 1404 393

Answer:

  see the attachment for a graph

  (x, y) = (0.5, 2.5)

Step-by-step explanation:

The first equation has a slope of 1 and a y-intercept of 2.

The second equation has a slope of -1 and a y-intercept of 3.

The two lines cross at the point (0.5, 2.5), which is the solution to the system of equations.

Answer:

a) Sorry, I submitted the question before screen clipping the graph

b) X=0.5     Y=2.5

Step-by-step explanation:

Draw both lines, and the coordinates which the 2 lines cross at equals x and y.

Evaluate k 3 m if k = 2 and m = 7.

Answers

All you would do is 2 x 3 x 7 = 42

Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim's head to the furthest tip of the shadow is 13 feet. A right triangle with side length 6 feet, s, and hypotenuse 13 feet. [Not drawn to scale] What is the length of Fahim's shadow? Round to the nearest tenth of a foot. 7.0 feet 8.5 feet 11.5 feet 14.3 feet

Answers

Answer: 11.5 feet

Step-by-step explanation:

We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:

Let the length of Fahims shadow be x

hypotenuse² = opposite² + adjacent ²

13² = 6² + x²

169 = 36 + x²

x² = 169 - 36

x² = 133

x =✓133

x = 11.53

= 11.5 feet to nearest tenth

Answer:

11.5 feet

Step-by-step explanation:

Fahim been drinkin up on tht pediasure ain he.

What additional information is required in order to know what triangles are congruent

Answers

Answer:

C. RS=IS

Step-by-step explanation:

To use ASA the side between the two congruent angles must be equal as well. Given one set of congruent angles, we can assume the other congruent angles to be the vertical angles in the middle.  In order for ASA to work, the side between those angles must also be congruent.

Answer:

no i love you momhhhdhhrh

Sonia es apicultora y en su planta de envadasado la maquina envasa 1920 tarros por hora, que luego se agrupan por tamaños; los frascos grandes se agrupan en cajas de una docena y los medianos en cajas de 20 unidades. ¿ si la maquina solo envasara frascos de un tipo , cuantas cajas de frascos grandes envasaria cada hora? Y de frascos medianos?

Answers

Answer:

En una hora, la máquina podría envasar 160 cajas de frascos grandes, o 96 cajas de frascos medianos.

Step-by-step explanation:

Si la maquina solo envasara frascos de un tipo, y pudiese envasar 1920 tarros por hora, para determinar cuantas cajas de frascos grandes envasaría cada hora hay que realizar el siguiente cálculo:

1920 / 12 = X

160 = X

Así, en una hora, la máquina envasaría 160 cajas de frascos grandes.

Por otra parte, en caso de envasar frascos medianos, el cálculo sería el siguiente:

1920 / 20 = X

96 = X

Por ello, la máquina envasaría 96 cajas de frascos medianos en una hora.

At Walmart, apples cost $0.50 each, and grapefruits cost $2 each. You want to spend exactly $15.
Define all unknown variables. Write an equation modeling this situation.

(Please don't forget to write the equation :D)
(Worth 20 points!! :D :D)

Answers

Define the variables: a is the number of apples I can buy                                                                        g is the number of grapefruits I can buy.

Write the equation: 15 = 0.50a + 2g

Evaluate a2 - 6 for a = 4 and b = 17

Answers

Answer:

The answer is -94 but where is b

Step-by-step explanation:

2(4)-6(17)=-94

Metro cable tv tuvo ventas de 2500000 en su primer año de funcionamiento. Si a partir de entonces las ventas aumentaron 12% con respecto al año anterior, calcule las ventas de la empresa en el quinto año y las ventas totales durante los primeros 5 años de operación

Answers

Explicación paso a paso:

Dado

Principal = 2,500,000

Tasa = 12% (anual)

tiempo = 5 años

Incremento después del primer año = 12% de 2.500.000

= 12/100 * 2,500,000

= 12 * 25000

= 300.000

El monto al final de los 5 años se calculará utilizando la fórmula de interés compuesto;

A = P (1 + r) ^ n

A = 2500000 (1 + 0,12) ^ 5

A = 2500000 (1,12) ^ 5

A = 2500000 (1,7623)

A = 4.405.854,208

Por lo tanto, las ventas totales durante los primeros 5 años de operación son 4.405.854,208

Obtenga la cantidad obtenida en el quinto año

El monto al final de los 4 años se calculará utilizando la fórmula de interés compuesto;

A = P (1 + r) ^ n

A = 2500000 (1 + 0,12) ^ 4

A = 2500000 (1,12) ^ 4

A = 2500000 (1,5735)

A = 3.933.798,4

Utilidad obtenida en el quinto año = 4.405.854,208 - 3.933.798,4

A = 4.405.854,208 - 3.933.798,4

A = 472.055,808

Por lo tanto, la ganancia obtenida en el quinto año es de 472,055.808

Monto realizado en el quinto año = Principal + intereses en el quinto año

Monto realizado en el quinto año = 2500000 + 472,055.808

Monto realizado en el quinto año = 2,972,055.808

HELP PLEASE I NEED ALL 5 of these done by thanksgiving

Answers

Answer:

1a) 75 degrees

1b) 105 degrees

1c) 75 degrees

1d) 105 degrees

Slope of AC: -1.5x

Slope of XY: -2/3x

Neither: Why? The slope of AC and XY are not the same, so they are not parallel. They are not perpendicular either because being perpendicular means that the slopes must be the negative reciprocal, which it is not.

Step-by-step explanation:

Please help me out!​

Answers

Lets start by figuring out the values of all.

A. pi + 1 = 4.1415
B. square root of 24 = 4.8989
C. q/2
D. 4.222

Judging by these, we can conclude that the highest value is that of B. I hope this helps!

hello i really need ur help

Answers

Answer:

y=2x+-6

Step-by-step explanation:

Answer:

y=2x-4

Step-by-step explanation:

Goes up 2y for every one x and the y intercept is -4.

Write an expression for the sequence of operations described below. triple v, then subtract 7 from the result Do not simplify any part of the expression.

Answers

Given:

The sequence is defined as "triple v, then subtract 7 from the result".

To find:

The expression for the given sequence.

Solution:

Triple v means 3 times of v, i.e., 3v.

So, the result is 3v.

Then subtract 7 from the result. So, the expression for the sequence is

[tex]3v-7[/tex]

Therefore, the required expression is [tex]3v-7[/tex].

can someone please help me​

Answers

Answer:

6x^2 +7x-20

Step-by-step explanation:

Answer:

6x^2 + 7x - 20

Step-by-step explanation:

First Terms: 2x * 3x = 6x^2

Out Side: 2x * -4 = -8x

Inside: 5*3x = 15x

Last:  5* - 4 = - 20

Answer: 6x^2 - 8x + 15x - 20

Answer: 6x^2 + 7x - 20

Please help.

George purchased a concert ticket on a web site. The original price of
the ticket was $85. He used a coupon code to receive a 15% discount.
The website applied a 10% service fee to the discounted price. George's
ticket was less that the original price by what percent?
15%
10%
6.5%
8.5%

Answers

Answer:

6.5%

Step-by-step explanation:

The original price of the ticket was 100% of the price of the ticket.

The 15% coupe reduced the price to 85% of the price of the ticket.

The 10% fee on the discounted price adds 10% of 85% to 85%, so it adds 8.5% to 85%. By adding the fee he is at 93.5% of the original price.

100% - 93.5% = 6.5%

The overall percent off compared to the original price was 6.5%.

Answer: 6.5%

Find Percent of a Number - Instruction Level
During a basketball game, DeShawn made 24 baskets out of 30 shots. Cody made 18 baskets
out of 20 shots. Who made a greater percent of their shots?
) What percent of his shots did DeShawn make?

Answers

Answer:

1. Cody made a greater percentage (i.e 90%) of his shots

2. Deshown made 80% of his shots

Step-by-step explanation:

To know who have a higher percentage, let us calculate their individual percentage. This is illustrated below:

For Deshown,

He made 24 baskets out of 30 shots.

The percentage of shot made = 24/30 x 100 = 80%

For Cody,

He made 18 baskets

out of 20 shots

Step-by-step explanation:

Help ASAP due todayyyyy

Answers

Answer:

-14, -13, -7, 11

Step-by-step explanation:

x + 10 = -4 ----> x = -14

x + 10 = -3 ----> x = -13

x + 10 = 3 ----> x = -7

1 + 10 = x ----> x = 11

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