John gets to play a total of 96 songs at his school dance. He wants twice as many fast songs, ​y, as ​ slow dance songs, ​x. Write a pair of equations to represent this situation and use those equations to find ​ the number of fast and slow songs John can play. Then solve for x and y.

Answers

Answer 1

Answer:

The number of fast songs is 64 and the number of slow songs is 32

Step-by-step explanation:

∵ Y represents the number of fast songs

∵ x represents the number of slow dance songs

∵ John gets to play a total of 96 songs at his school dance

→ That means the sum of x and y is 96

x + y = 96 ⇒ (1)

∵ He wants twice as many fast songs, ​y, as ​ slow dance songs, ​x

→ That means y is twice x

y = 2x ⇒ (2)

→ Substitute y in equation (1) by equation (2)

∵ x + 2x = 96

∴ 3x = 96

→ Divide both sides by 3 to find x

∴ [tex]\frac{3x}{3}=\frac{96}{3}[/tex]

x = 32

→ Substitute the value of x in equation (2) to find the value of y

∵ y = 2(32)

y = 64

The number of fast songs is 64 and the number of slow songs is 32


Related Questions

help me please !!!!!!!

Answers

Answer:

I don't see the screenshot and i'm not going to download it...

Step-by-step explanation:

yikes

Shirley is drawing triangles that have the same area. The base of each
triangle varies inversely with the height. What are the possible base
and height of a second triangle if the first triangle's base is 12 and its
height is 8?
Select one:
a. 120 and 80
b. 10 and 10
c. 60 and 36
d. 16 and 6

Answers

Answer:

d. 16 and 6

Step-by-step explanation:

Triangle area = (base × height)/2

A = (8 × 12)/2 = 96/2 = 48

A = (16 × 6)/2 = 96/2 = 48

PLSSSSS HELPPP I WILLL GIVEEE BRAINLIEST!!!!!!!!

Answers

the answer for x is x= y/4 + 3

Answer:

x = y/ 4  + 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

can someone help me out or tell me if I’m right or wrong on both problems !

Answers

They seem correct. For the first one you don’t really need the 1, so you could write it as y=-x+2, but both ways work

Determine the quotient of 2 over 5 divided by 3 over 4

Answers

Answer:

8/15

Step-by-step explanation:

12) Erica has three more dimes than nickels in her pocket, for a total of $1.50. If x represents the number of
nickels, write and solve. State the numbers of nickels and dimes that Erica has.

Answers

Answer: 8 nickles  11 dimes

Step-by-step explanation:  PLEASE GIVE BRAINLIEST IT HELPS ALOT

Susan drove to visit a friend. She drove 345

miles in 5 hours and 45 minutes. What was her

average speed, to the nearest tenth of a mile per

hour?

Answers

Answer:

[tex]Average\ Speed = 60 mi/hr[/tex]

Step-by-step explanation:

Given

[tex]Distance = 345\ miles[/tex]

[tex]Time = 5\ hours\ 45\ minutes[/tex]

Required

Determine the average speed

This is calculated as thus:

[tex]Average\ Speed = \frac{Distance}{Time}[/tex]

Convert time to hour:

[tex]Time = 5\ hours\ 45\ minutes[/tex]

[tex]Time = 5\ hours + \frac{45}{60}\ hour[/tex]

[tex]Time = 5\ hours + \frac{3}{4}\ hour[/tex]

[tex]Time = \frac{20 + 3}{4}\ hours[/tex]

[tex]Time = \frac{23}{4}\ hours[/tex]

[tex]Time = 5.75\ hours[/tex]

[tex]Average\ Speed = \frac{Distance}{Time}[/tex]

[tex]Average\ Speed = \frac{345}{5.75}[/tex]

[tex]Average\ Speed = 60 mi/hr[/tex]

Help guys, please I needed this answer PLEASE!!!

Answers

The picture is very small and blurry

The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width?

Answers

Answer:

C   30(30 – x) = 540

Step-by-step explanation:

I did it on edg

Answer:

3) 30(30-x)=540

Step-by-step explanation:

answer on edge

Help! Need ASAP! ;((

Answers

Answer:

7+(-11)

Step-by-step explanation:

because it starts from 0 to 7 then goes down 11

so 7+(-11)

brainlist pls ;>

To find the quotient Two-fifths divided by one-fourth,
multiply Two-fifths by 4.
multiply Two-fifths by One-fourth.
multiply Five-halves by One-fourth.
multiply Five-halves by 4.

Answers

To do this, you keep the first number, so options 3 and 4 are out. You do change the operation to multiplication, but you flip the other number. In this case, that would eliminate 2, and the answer would be option 1. 2/5 times 4.


Hope this helps:)

Answer:

above is right

Step-by-step explanation:

What is the fraction equivalent of 0.2323

Answers

Answer: 23/99

Step-by-step explanation: I’m assuming it’s supposed to be repeating but if not the answer will be 2323/10000.

Write a polynomial fx that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient.

Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-32i and 0 (multiplicity 4).

f(x)=________

Answers

Answer:

Step-by-step explanation:

Find the question attached.

Given the zero of the polynomial 5+3i and 0, this means that (x-0) and (x-(5+3i)) are factors

Multiplying the factors together we have;

= x((x-(5+3i))

= x(x-5-3i)

= x²-5x-3xi

Hence the polynomial expression of the zeros is x²-5x-3xi

4x+2 = 2(2x+1) what is the answer?

Answers

Answer: 0=0

Step-by-step explanation: Simplify

Kelsey has designed the pendant shown, that hangs from a chain. She makes pendants by bending silver wire into circles. The design connects one circle made from a wire 6 cm long to a second circle made from a wire 8 cm long. She plans to sell the pendants at a craft fair, and her goal is to make a minimum profit of $50 at the fair. Part A The height of the pendant is determined by using the formula for the circumference of a circle, C = id. Find the total height of the pendant design from top to bottom in terms of it. Then find the height rounded to the nearest tenth of a centimeter. Use 3.14 for T.​

Answers

Answer:

4.4cm

Step-by-step explanation:

in this problem we are expected to solve for the diameter of each circle pendant and add them to get the height of the complete pendant.

we know that the circumference is given as

C=πd

for the small circle

C=6cm

6=3.142d

d=6/3.142

d=1.9cm

for the big circle

C=8cm

8=3.142d

d=8/3.142

d=2.5cm

the height then is 1.9+2.5=4.4cm

Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and

UW = 52, determine the numerical length of VW.

Answers

Answer:

VW = 36

Step-by-step explanation:

From the question, we are given:

VW = 5x - 4, UV = 2x,

UW = 52

Hence,

UV + VW= UW

2x + 5x - 4 = 52

7x = 52 + 4

7x = 56

x = 56/7

x = 8

VW = 5x - 4,

VW = 5(8) - 4

VW = 40 - 4

VW = 36

Solve |x – 4| + 6 = 13.
A. x = 11 and x = -3
B. x = -11 and x = -3
C. x = 11 and x = -11
D. x = -11 and x = 3
Apex?

Answers

Answer:
Option A is correct, when putting 11 or -3 in for x the equation both result in 13, making it true.

The length of a rectangle is 5 cm more than 2 times its width. The perimeter of the rectangle is 34. Define variables to find both length and width. Write an equation to find the perimeter of the rectangle. What are the dimensions of the rectangle?​

Answers

Answer:

many take time and solve it step by step

Step-by-step explanation:

sorry I am lost

M is the midpoint of line segment PQ. MQ = 5x + 8 and PQ = 6x + 65, find x

Answers

Answer:

freeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

trump 20202020202020020202020

Please help with this easy fraction problem <3

Answers

18 + 7/9

14 + 7/8

First, rewrite each fraction in terms of a common denominator. 8 and 9 don't share a common multiple until 8 * 9 = 72, so we have

7/9 = (7/9) • (8/8) = (7 • 8)/(9 • 8) = 56/72

7/8 = (7/8) • (9/9) = (7 • 9)/(8 • 9) = 63/72

Next, write each whole number in terms of fractions with the same denominator. We have

18 • 72 = 1296  ==>  18 = 1296/72

14 • 72 = 1008  ==>  14 = 1008/72

Write each mixed number as an improper fraction:

18 + 7/9 = 1296/72 + 56/72 = (1296 + 56)/72 = 1352/72

14 + 7/8 = 1008/72 + 63/72 = (1008 + 63)/72 = 1071/72

If the backpack and book together weigh 18 + 7/9 pounds, and the backpack without the book weighs 14 + 7/8 pounds, then the book alone weighs the difference, call it b :

b = (18 + 7/9) - (14 + 7/8)

b = 1352/72 - 1071/72

b = (1352 - 1071)/72

b = 281/72

Convert this to a mixed number. 72 • 4 = 288, so 72 • 4 - 7 = 281:

b = (72 • 4 - 7)/72

b = (72 • 4)/72 - 7/72

b = 4 - 7/72

b = (3 + 1) - 7/72

b = 3 + (1 - 7/72)

b = 3 + 65/72

Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. c. Compute the percent error in the​ approximation, ​, where the exact value is given by a calculator. at a​0; ​f(​) a.​ L(x) nothing

Answers

Answer:

(a) 15 - 4x

(b) 6.6

(c) 5.7143%

Step-by-step explanation:

The given problem is incomplete. Please find attachment of the complete description.

According to the question:

[tex]f(x)=11-x^2[/tex]

now,

(a)

[tex]f(a)=11-2^2[/tex]

       [tex]=7[/tex]

[tex]f'(x)=-2x[/tex]

[tex]f'(2)=-4[/tex]

[tex]f(x)=f(a)+f'(a)(x-a)[/tex]

       [tex]=7-4(x-2)[/tex]

       [tex]=7-4x+8[/tex]

       [tex]=15-4x[/tex]

(b)

[tex]f(2.1)=15-4\times 2.1[/tex]

         [tex]=6.6[/tex]

(c)

[tex]Error=\frac{100\times \left | 6.6-7 \right |}{7}[/tex]

          [tex]=5.7143[/tex]%

Wite the number
in standered form 80+9=

Answers

The number in standard from is 89 :)

Answer:

89

eighty-nine

Find the slope between points (4,-5) and (5,-1)

Answers

Answer:

4

Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4

which of the following inequalities is true?

Answers

Answer:

what are the answer chooice bc i cant see the picture

Step-by-step explanation:

Which input value produces the same output value for
the two functions on the graph?
O x=-1

Ox=0
Ox=1
Ox=2

Answers

Answer:

C

Step-by-step explanation:

It's another way of saying where the lines cross. So if the input value (x) = 1 then both lines have an output value of 1.

divide and answer in simplest form: 1/3 divided by 5

Answers

Answer:

1/15

Step-by-step explanation:

1. You can divide 1/3 by 5 by changing the division symbol to its reciprocal, multiplication, and also divide by the reciprocal of the number after the symbol, 5. The reciprocal of 5 is 1/5.

2. Now you can do 1/3 multiplied by 1/5. Multiply the numerators by the denominators. The numerators are 1 and 1, so you multiply 1 by 1 which equals 1. Now you multiply the denominators, 3 and 5, which is equal to 15. If the numerator is now 1, and the denominator is 15, the new fraction is 1/15, getting you to your answer

Which sentence is true is 0.45<0.5

Answers

0.45 is smaller than 0.5 so the answer is false that isn’t a correct statement!

True.

When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.

Three students spent $12 on school lunch. At that rate, find the amount 10 students would spend on the same school lunch.

Answers

12 divided by 3 is 4. the answer would be 40 as 4x10 is equal to 40

g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of those vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.

Answers

Answer:

6.333

Step-by-step explanation:

Our triangle vertices are

(1,1)(5,1)(2,9)

We are to perform interpolation at point(3,5)

x and y values are interpolated

On vertices (5,1)(2,9)

x = 3

x1 = 5

X2 = 2

Y1 = 1

Y2 = 9

Formula for interpolation

Y = [y1+(x-x1)(y2-y1)]/x2-x

Y = 1+(3-5)(9-1)/2-5

Y = 1+[-2*8/-3]

Y = 1+16/3

From here we use use LCM to get:

19/3 = 6.333

Answer quick please

Answers

Answer:

18

Step-by-step explanation:

3 3/8 becomes 27/8.

27/8 x 16/3=18

You have to flip 3/16 since you are dividing.

Answer:18

Step-by-step explanation:

3 3/8 devided by 3/16=18

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