A group of twelve friends went bowling. The regular price was $8.00. The bowling alley offered a discount price of $6.00 to college students. Is they paid a total of $80.00, how many paid the regular price and how many got the discount?

Answers

Answer 1

Answer:

x = friends that paid discount price = 8

y = friends that paid regular price = 4

Step-by-step explanation:

Let

x = friends that paid discount price

y = friends that paid regular price

x + y = 12 (1)

6x + 8y = 80 (2)

From (1)

x = 12 - y

Substitute x = 12 - y into (2)

6x + 8y = 80 (2)

6(12 - y) + 8y = 80

72 - 6y + 8y = 80

- 6y + 8y = 80 - 72

2y = 8

y = 8/2

y = 4

Substitute y = 4 into (1)

x + y = 12 (1)

x + 4 = 12

x = 12 - 4

x = 8

x = friends that paid discount price = 8

y = friends that paid regular price = 4


Related Questions

Find the missing side or angle.
Round to the nearest tenth.

Answers

Answer:

6√6 or 14.7

Step-by-step explanation:


It’s due in 10 minutes plz answer will give brainlest
A patio is shaped like the figure shown below with the length of each square
equal to 1 meter. Anthony wants his patio to look awesome therefore he will
cover it with tiles. The tiles cost $4 per meter square. How much will it cost to
cover the patio with tiles? (Hint: Find the area of the composite figure then
multiply it by 3)

Answers

Answer:

[tex]\$ 80[/tex]

Step-by-step explanation:

Since we know the price per square meter, we can find area of the figure and multiply it by the price per square meter.

The area of the composite figure consists of a trapezoid and a rectangle.

Area of trapezoid: [tex]\frac{(8+4)}{2}\cdot 2=6\cdot 2 = 12\:\mathrm{m^2}[/tex]

Area of rectangle: [tex]4\cdot 2=8\:\mathrm{m^2}[/tex]

Therefore, the area of the composite figure is equal to [tex]12+8=\boxed{20\:\mathrm{m^2}}[/tex]. Since the problem states that it will cost Anthony $4 per square meter, the total cost to tile the entire figure will be [tex]20\cdot 4=\boxed{\$80}[/tex]

Mohammed pays $569.80 for a mountain bike in a sale, the original price had been reduced by 26%, calculate the original price of the mountain bike

Answers

Answer:

$770

Step-by-step explanation:

26% off means the Mohammed paid 74% of the original price.

0.74x=569.80

x=569.8/0.74

x=770

proof:

770*0.26=200.2

770-200.2=569.8

.. Solve using substitution.
2x - 5y = 12
x = -9

Answers

Answer:

2x–5y = 12

2(–9)–5y = 12

–18–5y=12

–5y=12+18

–5y=30

y= –30/5

y= – 6

(x,y) —> (–9,–6)

Find the period of an electromagnetic wave of wavelength 2.20 × 10–2 m. A. 1.36 × 1010 s c. 7.33 × 10–11 s b. 4.54 × 101 s d. 6.60 × 106 s

Answers

Answer:

7.33 * 10^-11 s

Step-by-step explanation:

Period, T = 1 / f

c = fλ

λ = 2.20 × 10^–2 m

c = speed of light = 3 * 10^8 m

f = c / λ

f = 3 * 10^8 ÷ 2.20 × 10^–2 m

f = (3/2.2) * 10^(8-(-2))

f = 1.364 * 10^10

T = 1/f

T = 1 / 1.364 * 10^10

T = 7.33 * 10^-11 s

How does a credit card company calculate finance charges on a credit card?

Answers

A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 . Mortgages also carry finance charges.

Given the equation: ( x + 3)2 + ( y - 4)2 = 25

1. Center: ( , ) ??

2. Radius: ??

3. Diameter: ??

Answers

Answer:

See below

Step-by-step explanation:

Center:   (-3, 4)

radius = r = [tex]\sqrt{25}[/tex] = 5

diameter = 2r = 10

Answer:

Center= (3,-4)   Radius=5   Diameter=10

Step-by-step explanation:

The numbers (3,-4) are the coordinates in the center of a circle. The radius is squared to get the end number so to get the radius, you have to find its square root- [tex]\sqrt{25[/tex] =5. The diameter is 2 times bigger than the radius so 5 times 2= 10.

HELPPPP PLEASEEE IM BEGGING SOMEONE PLEASE PLEASE HELP

Answers

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

[tex]m\angle RPS=90^\circ[/tex]                       [Right angle]

[tex](5x+15)^\circ=90^\circ[/tex]

[tex](5x+15)=90[/tex]

[tex]5x=90-15[/tex]

[tex]5x=75[/tex]

Divide both sides by 5.

[tex]x=\dfrac{75}{5}[/tex]

[tex]x=15[/tex]

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

[tex]m\angle RQP=(2x+3)^\circ[/tex]

Putting [tex]x=15[/tex], we get

[tex]m\angle RQP=(2(15)+3)^\circ[/tex]

[tex]m\angle RQP=(30+3)^\circ[/tex]

[tex]m\angle RQP=33^\circ[/tex]

Therefore, the measure of angle RQP is 33 degrees.

w is directly proportional to y
w is inversely proportional to x?
(a) When y = 4, w = 14
Work out the value of w when y = 9

Answers

Answer:

w=31.5

Step-by-step explanation:

w proportional to y

w=ky

k is a constant

k=w/y

w1/y1=w2/y2

w1=14,w2=?,y1=4,y2=9

14/4=w/9

cross multiply and divide by 4

w=14×9/4

w=31.5

Work out the circumference of of a circle with a radius of 6mm. Give you answer in pie

Answers

Answer:

12 pi mm

Step-by-step explanation:

formula : circumfrence =  2 pi r

so pi * 2*6 mm = 12 pi mm

C≈37.7mm that should be your correct answer!

Quadrilateral ABCD is translated 5 units right. What are the coordinates of quadrilateral

Answers

Answer:

it should be C sry if I'm wrong <3

How are formulas for the volume of a cylinder, pyramid, and cone derived?

Answers

Answer:

Calculus-based analytic geometry makes the cylinder, pyramid, and cone from "solids of revolution". From there, they can measure the length or radius of the base, and then the height. This is true even if the solid of revolution is along the X axis intead of the Y axis. Then someone "figured out" the formula, just like they did with a cube, and proved it.

Solve
Please help
r/20 - 3 = -2

Answers

Answer:

r=30

Step-by-step explanation:

r/30=-2+3

r/30=1

r=1×30

r=30

⟰ ANSWER ⟰

U R ANS IS IN THE PIC !

HOPE IT HELPS U !!!!!(:

Find the value of x

Answers

Answer:

use Pisagorth theormi

23²=18²+x²

x²=23²-18²

23²=529

18²=324

x²=205

so the x =√205

its nearly equal 14.3.....

NEED HELP HERE PLEASE!! π∆π

Give the value of the six trigonometric ratios in the figure.​

Answers

Answer:

Step-by-step explanation:

take theta as reference angle

using sin rule

sin theta=opposite/hypotenuse

sin theta=3/5

sin theta=0.60

theta=sin 37 degree

therefore the value of theta is 37 degree.

Please I need help and can you explain as well because I have to show my work

Answers

Answer:

b and c

Step-by-step explanation:

0.775 is bigger than .7 or .70

17/22 is 0.772 or 77.2 which is smaller than 0.775 or 77.5

Hope this helped <3

Please help me with this is 50% of my grade so please ill do anthg

Answers

Answer:

We need to divide.

5 1/3 divided by 1/6

(made 5 1/3 an improper fraction)

16/3 divided by 1/6

Now we make the divisor a reciprocal(meaning turning the fraction upside down)

16/3 divided by 6/1

Now we turn the division sign into a multiplication sign.

16/3 x 6/1 = 96/3 = 32 cupcakes.

Answer:

hi there user, looks like you need help!

32 cups should be the correct answer!

Step-by-step explanation:

5 1/3 ÷ 1/6 = 16/3 x 6/1 = 32

gave the table write equation in the slope intercept form
pls help thank u!

Answers

Answer:

y=2x+6

Hope I helped, have a nice day :)

Answer:

y=2x +6

Step-by-step explanation:

(18-12)

(6-3)

6/3 = 2

m=2

There are 150 students at the zoo. 90 of the students visited the gorilla
exhibit. What percent of the students visited the gorilla exhibit? *

Answers

Divide the number that visited the gorilla by the total students at the zoo then multiply by 100

90/150 = 0.6

0.6 x 109 = 60%

The answer is 60%

[tex] \frac{is}{of} = \frac{x}{100} [/tex]

[tex] \frac{150}{90} = \frac{x}{100} [/tex]

150 × 100 = 15,000

90x = 15,000

90 ÷ 90 = 1

15,000 ÷ 90 = 166.6%

I don’t know of the problem wants you to round but the percent would be either 166.6% or 167% (if rounded).

ANOTHER THING I NEED HELP ON AGAIN!!’

Answers

Answer:

2.5, 16,3,32

Step-by-step explanation:

A rectangle is 21 meters long and 11 meters wide.

What is the perimeter of this rectangle?


32 m

42 m

64 m

84 m

Answers

Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w) for a rectangle

Substitute in the length and the width

P = 2( 21+11)

P = 2( 32)

P = 64 meters

Answer:

P = 2(l+w)

= 2 ( 21+11)

= 2(32)

= 64m

Triangle ABC is similar to triangle MNP.
15 POINTSSS!

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given triangles are similar, therefore their sides will be proportional.

[tex] \dfrac{7.5}{x} = \dfrac{6}{4} [/tex]

[tex]7.5 \times 4 = 6x[/tex]

[tex]x = \dfrac{30}{6} [/tex]

[tex]x = 5 \: \: cm[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

b .5 is the correct answer

32000 )
bill there
13. Express each of the following recurring decimals as a fraction in its simplest
form
a) 0.8333
b) 0.373737
C) 0.321

Answers

GIVEN: The decimal numbers are given.

TO FIND: We need to find the fractions.

SOLUTION:

a) The decimal form is 0.8333

[tex]\frac{8333}{10000}\\[/tex]

b)The decimal form is 0.373737

[tex]\frac{373737}{1000000}[/tex]

c)The decimal form is 0.321

[tex]\frac{321}{1000}[/tex]

A function with a input of 4 has an output of 10. Which following could not be the function equation?
y=14-x
y=x+6
y=2x+3
y=(2.5) x

Answers

The answer should be y=2x+3

Mikes fishing lure Is 21 feet below the surface of the water how many feet does he need to reel in his lyre to reach the surface of the water?

Answers

Answer:

21 feets

Step-by-step explanation:

Since the lure is 21 feets beneath the water surface,

The the elevation of the lure is - 21 feets

If the surface of water = x

Then current distance of lure equals :

x - 21

To obtain the nunber of feets to reach the water surface ;

x - 21 = 0

x = 21 feets

The five-number summary for a data set is given by min = 5, Q1 = 18, median = 20, Q3 = 40, max = 75. If you wanted to construct a boxplot for the data set (that is, one that would show outliers, if any existed), what would be the maximum possible length of the right-side "whisker"? * 2 points 53 35 55 33 45

Answers

Answer:

33

Step-by-step explanation:

Values beyond the whiskers of the boxplot are called the outliers :

For a right side Outlier :

Values > Q3 ± 1.5(IQR) ;

IQR = Q3 - Q1)

From the data given:

IQR = (40 - 18) = 22

Hence ; the maximum value of right side whisker will be :

1.5(22) = 33

The maximum possible length of the right-side "whisker" is 33

The given parameters are:

Min = 15Q1 = 18Median = 20Q3 = 40Max = 75

Start by calculating the interquartile range (IQR) using:

[tex]IQR = Q3 -Q1[/tex]

So, we have

[tex]IQR = 40 - 18[/tex]

[tex]IQR = 22[/tex]

The maximum possible length of the right side whisker is then calculated as:

[tex]L = 1.5 \times IQR[/tex]

This gives

[tex]L = 1.5 \times 22[/tex]

Multiply 1.5 by 22

[tex]L = 33[/tex]

Hence, the maximum possible length of the right-side "whisker" is 33

Read more about box and whisker plots at:

https://brainly.com/question/3293067

please help with this question

Answers

Answer:

the correct answer is

width is 12cm

length is 9cm

Answer:

12cm width

9cm length

Step-by-step explanation:

24×28= 432

432÷4=108

9×12= 108

PLEASEEEE help I will give you BRAINLEST

Answers

Y= x+6

I hope you pass

Answer:

y=2x+3

Step-by-step explanation:

Is there any one who Know ' KRIS WU'
is there anyone who is the fan of Kris Wu.
Kris' picture is attached above.​

Answers

Yeah, the ex member of Exo.

I have watched his movie

Never Gone

during a sale, a shopkeeper reduced the prices of all his goods by 15 %. Calculate the normal selling price of microwave which was sold for Rs 3825 in the sale.

Answers

Answer:

Normal selling price is Rs 4500

Explanation:

1) Selling price = original price × (100-d) / 100

d = reduced price percentage

2) Rearrange the formula

original price = (selling price × 100) / (100 - d)

S.p = 3825

d= 15%

let original price = x

Therefore

x = (s.p×100) / (100-d)

x = (3825×100) ÷ (100-15)

x = 382500/85

x = 4500

consider the original price x

offer15% = 15x/100

Saling price = x - 15x/100

3825 = 85x/100

x = (3825×100)÷ 85 = 4500 rs

Answer the normal selling price of microwave which was sold for Rs 3825 in the sale is 4500 rs

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