In a class test (+ 5) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question.

(i) Rayan scored 30 marks. If she has got 10 correct answers, how many questions has she attempted incorrectly?

(ii) Riya scores 44 marks by attempting 13 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?​

Answers

Answer 1

OK ITS OK IM GOD CALM DOWN

Answer 2

Answer:

Step-by-step explanation:

(1)

If she got 10 answers right, she got 5 * 10 = 50 marks before anything was deducted.

Since she wound up with 30 marks, she lost 50 - 30 = 20 marks. If you don't feel comfortable with this, call it -20

Each incorrect answer cost her -2 marks.

Divide -20 /-2 = 10

She has answered 10 questions incorrectly.

(ii)

5x - 2y = 44

x + y = 13             Multiply this equation by 2

2x + 2y = 26

Rewrite the first and third equations

5x - 2y = 44

2x + 2y = 26      Add  

7x = 70              Divide by 7

x = 70/7

x = 10

So 10 questions were answered correctly

x + y = 13

10 + y = 13

y = 3

Answer

10 were answered correctly

3  were answered incorrectly


Related Questions

If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.

Answers

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

The amount of interest accrued on
a $7,000 loan with 6% interest after t years.

Answers

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

Y=-2x find Oder pairs

Answers

The answer is d1 to the second power because you divide to the second

I need answer for this question

Answers

Answer:

The answer should be D) 4x^ + x + 3

interest rate 6% is:

Answers

Djjejejejejjejeneejbebebbdhdhjdjdjdjdjdi

If a team of minors drill a hole 50.4 m into a rock formation and drill at a steady rate of 2.8 m/min. how long does it take to drill the hole

Answers

Answer:

t = 18 minutes.

Step-by-step explanation:

We can find the time by using the following kinematic equation:

[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]  

[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]  

Where:  

Δy: is the difference between the initial and the final height = 50.4 m

t: is the time  

a: is the acceleration

v₀: is the velocity of the drill = 2.8 m/min

Since the speed of perforation is constant, the acceleration is zero so:

[tex]\Delta y = v_{0}t[/tex]    

Then, by solving the above equation for "t" we have:

[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]

Therefore, it takes 18 minutes to drill the hole.  

I hope it helps you!    

Ann races her bicycle for 58m. A wheel of her bicycle turns 29 times as the bicycle travels the distance. What is the diameter of the wheel

Answers

Answer:

0.637 m or 63.7 cm

Step-by-step explanation:

Formula

d = n *  pi di

Givens

di = diameter and is unknown

n = 29 times

d = 58 meters

Solution

58 = 29 * 3.14 * di

2 = 3.14 * di

2/3.14 = di

d = 0.637 meters

or

d = 63.7 cm

⚠️ Urgent PLS HELP
links will be reported
Find the value of x .

Answers

Answer:  x=18

Step-by-step explanation:  ...

You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 132, find the numbers.

Answers

Let the larger number be x

The smaller number would be 1/5x

X - 1/5x = 132

Simplify:

4/5x = 132

Divide both sides by 4/5:

X = 165

1/5x = 1/5(165) = 33

The numbers are 165 and 32

If the equation below represents the total cost of 3 boxes of cereal and 2 loaves of bread is $15," then x represents
3x + 2y = 15 t
A the number of boxes of cereal
B the number of loaves of bread
Cthe cost of a box of cereal
Dthe cost of a loaf of bread​

Answers

Answer:

C. The cost of a box of cereal

Step-by-step explanation:

In the question, we are given the number of 3 boxes of cereal, 2 loaves of bread, and that the total cost is $15. We can see these numbers in the equation, and putting it into context, we see that the 15 is on the right side of the equation, which indicates cash. Therefore, the 3 and 2 are accounted for, but their prices are unknown. X is a placeholder for the unidentified cost of a box of cereal, and we know that it's the boxes of cereal and not the loaves of bread because there are 3 and not 2.

help with this math assignment

Answers

A:
2)6x6=36
3)7x7=49
5)11x11=121
6)13x13=169
7)20x20=400


B:
1)8 5)2
2)10 6)0
3)9 7)5
4)4 8)12



Consider the following function y=5/3x+2

Answers

Answer:

y-2=5/3x

y-2/5=3x

Step-by-step explanation:

Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Yes, we can

Step-by-step explanation:

H0 : μ = 9.75

H1 : μ > 9.75

n = 25 ; xbar = 9.85 ; σ = 0.27

The test statistic:

T = (xbar - μ) ÷ (σ / √n)

T = (9.85 -9.75) ÷ (0.27 ÷ √25)

T = 0.1 ÷ 0.054

T = 1.85

We can obtain the Pvalue from the test statistic using the Pvalue calculator :

Pvalue at t score = 1.85 ; 24 = 0.038

If Pvalue < α ; Reject H0

α = 0.05

Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box

There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored pencils are there?
Draw a picture and solve vertically.

Answers

Answer:

I can't draw a picture for you! But I can give you the answer so maybe you can figure out a picture yourself. The answer is: 31

Step-by-step explanation:

If you have 84 total pencils and you know that 53 are regular pencils all you have to do is subtract 53 from 84. So you would do 84-53=31

So therefore 31 of the pencils are colored. Hope this helps!

what is the midpoint of a segment with endpoints at (-4,-8) and (8,10)

Answers

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!​

Answers

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

[tex] \frac{3}{2} [/tex]

[tex] 1\frac{1}{2} [/tex]

is your answer.

If ∠A is a complementary angle of ∠B and ∠C is a complementary angle of ∠B, then which of the following statements is true?
Question 9 options:

A)

∠A + ∠C ≅ ∠B

B)

∠A ≅ ∠B

C)

∠A ≅ ∠C

D)

∠B ≅ ∠C

Answers

Answer:

A because its a complementary angle which has a angle which us added to 90 and a plus c =complementary

Answer:

Answer A is incorrect

Step-by-step explanation:

Just took the test

Your company is considering offering 500 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 100 managers, 200 factory workers, and 400 miscellaneous staff, find the following probabilities, leaving the answers as formulas.

a. All the managers will be offered the opportunity.
b. You will be offered the opportunity.

Answers

Answer:

a)

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b)

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Step-by-step explanation:

Given

The total number of opportunities to employees for transfer = 500

Company currently has  100 managers, 200 factory workers, and 400 miscellaneous staff

a) All the managers will be offered the opportunity

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b) You will be offered the opportunity

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Please explain step by step I dont get it.

Answers

Answer:

Step-by-step explanation:

What's the question?

This is a linear function that shows the longer the pipe the more it weighs.

   (156 - 130) pounds / (24 - 20) inches = 26 ponds / 4 inches

    or   4.5 pounds/inch

Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)

Answers

Answer:

Two additional solutions are:

(21, 1/3)

(17, 5/3)

Step-by-step explanation:

We have the equation:

x + 3*y = 22

Now we want to find two solutions (x, y).

To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.

Let's isolate x.

x = 22 - 3*y

Now we can change the value of y by a known value, and then solve the equation for x.

For example, if we define:

y = 1/3

then:

x = 22 - 3*(1/3)

x = 22 - 1 = 21

x = 21

Then the point (21, 1/3) is a solution of the equation.

Now let's input another value of y, for example, we can use y = 5/3

(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.

x = 22 - 3*(5/3)

x = 22 - 5

x = 17

Then the point (17, 5/3) is a solution of the equation.

A:Alternate interior angles
B:Corresponding angles
C:Consecutive interior angles
D:Vertical angles

Answers

relationship between v and x is C:Consecutive interior angles

Ella has a number cube and a spinner. The faces of the
number cube are labeled 1 through 6, and the spinner
is divided into three equal sections with the colors red,
blue, and green. If Ella rolls the cube and spins the
spinner once, which list contains only outcomes in
which the spinner lands on blue and a number greater
than 4?
C. Blue, 4
A. Blue, 4
Blue, 5
Blue, 5
Blue, 6 D. Blue 5
Blue. 6
B. Blue. 5
Red. 5
Blue, 6
Red. 6
Green 5
Green. 6
Need H

Answers

Answer:

B

Step-by-step explanation:

It can only land on blue and numbers greater than four (not including four), therefore B is the only suitable answer.

12. Find the Volume of the rectangular prism below. Write your final answer as a decimal by converting the fraction to decimal. Also write the units as cubic inches. * 13 in. 2 in. 3 in​

Answers

Answer:

V = 9.75 cubic inches.

Step-by-step explanation:

Given the following data;

Length = 2 inches

Width = 3¼ inches

Height = 1½ inches

To find the volume of rectangular prism;

Volume of rectangular prism = length * width * height

V = 2 * 3¼ * 1½

V = 2 * 13/4 * 3/2

V = 2 * 39/8

V = 2 * 4.875

V = 9.75 cubic inches

What is one example of a rectangular prism with a volume of 64?
That's NOT 4x4x4 or 8x4x2!!!

Answers

Answer:

16 × 2 × 2

Step-by-step explanation:

64 = 2 × 2 × 2 × 2 × 2 × 2

=> 16 × 2 × 2

Select the equation of a straight line that is parallel to the line 4y = 3x + 5.

Answers

Answer:

B)

Step-by-step explanation:

4y = 3x + 5 has a slope of 3/4

4y = 3x - 1 has a slope of 3/4

parallel lines have equal slopes

The equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.

To find an equation of a straight line that is parallel to the given line 4y = 3x + 5, we need to identify the equation that has the same slope as the given line

The given line is in the form 4y = 3x + 5. We can rewrite this equation in slope-intercept form (y = mx + b) by dividing both sides by 4:

y = (3/4)x + 5/4.

The slope of the given line is (3/4).

To find a parallel line, we need to choose an equation with the same slope of (3/4). Among the options provided:

A. y = 3x + 5 - The slope of this line is 3, not (3/4), so it is not parallel.

B. 4y = 3x - 1 - This line has a slope of (3/4), making it parallel to the given line.

C. 3y = 4x - 3 - The slope of this line is (4/3), not (3/4), so it is not parallel.

D. 4y = x + 5 - The slope of this line is (1/4), not (3/4), so it is not parallel.

Therefore, the equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.

To know more about parallel click here :

https://brainly.com/question/28740695

#SPJ2

Please give your calculations too.​

Answers

Answer:

1) number of boys in school is 48 [ Could be true ]

2) fraction of the boys in the school is = 6/6+7= 6/13 [False]

3) fraction of girls in school is 7/6+7=7/13 [Definitely true]

[tex]---------------[/tex]

hope it helps...

have a great day!!!

Find a slope of a line which goes through the points (1, -4) and (7, -4).

Answers

Answer:

0

Step-by-step explanation:

-4 - (-4) = 0

divided by

1 - 7 = -6

-0/6 so 0

Which point is located at (2, 3)? On a coordinate plane, point A is 3 units to the right and 2 units up. Point B is 2 units to the right and 2 units up. Point C is 2 units to the right and 3 units up. Point D is 3 units to the right and 3 units up. A B C D

Answers

Answer:

Point C

Point A is located at (3, 2)

Point B is located at (2, 2)

Point C is located at (2, 3)

Point D is located at (3, 3)

Solve the following problems. It may be helpful to set up an equation. The sum of two numbers is 13, the difference is 4. What are the numbers? pls help

Answers

Answer:

y = 4 1/2

x = 8 1/2

Step-by-step explanation:

x + y = 13

x - y = 4

substitution method:  let x = 4+y

4+y + y = 13

2y = 9

y = 4 1/2

x = 8 1/2

Write the equation of a sine function that has the following characteristics.
Amplitude: 7 Period: 9π Phase shift: 1/4

Type the appropriate values to complete the sine function.

Answers

Answer:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

Step-by-step explanation:

we want to figure out the equation of a sine function that has the following characteristics.

Amplitude: 7Period: 9π Phase shift: 1/4

the standard form of sine function is given by

[tex] \displaystyle y = a\sin(bx-c)+d[/tex]

where:

a is the amplitudeb can be sorted out using the equation 2π/b=periodC refers to phase shift

Finding a and phase shift:

a and c is simply given which is

a=7C=¼

finding b:

using the equation we acquire:

[tex]\dfrac{2\pi}{b}=9\pi[/tex]

solving the equation for b,we obtain:

b=2/9

finding d:

Since d Isn't mentioned, we would assume it 0

finding the equation:

substitute what we got:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

and we're done!

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