Two fifths of the performance were sold out. There were 15 performances that were not sold out. a. How many performances were there? b. What was the ratio sold out to not sold out performances?

Answers

Answer 1

Answer:

25

2:3

Step-by-step explanation:

2/5 were sold out

5/5 - 2/5 = 3/5

That means 3/5 were not sold out

p = performances

there were 15 that were not sold out

3/5 * p = 15

Multiply each side by 5/3

5/3 *3/5 p = 15*5/3

p = 25

There were 25 performances

sold out to not sold out

2/5 : 3/5

Multiply by 5

2: 3


Related Questions

what mathematical process do you use to find the new size using the scale factors? (select all that apply)

1. multiplication
2. addition
3. proportions
4. subtraction
5. division

Answers

Answer: 1. multiplication

Step-by-step explanation:

Suppose that you want to change an object with length L with a scale factor a, then the lenght of the rescaled object will be:

L' = a*L

Then the correct option is 1) multiplication.

Notice that sometimes you may find that the scale factor is a number like 1/5 and when you find the new lenght you will end with something like:

L' = L/5 that seems like a division, but this is actually the multiplication between L and 1/5.

Solve 36-(3c+4)=2(c+7)+c

Answers

Did you find the answer?

Answer:

Its 3

Step-by-step explanation:

36-(3(3)+4)

36-(9+4)

36-13

23

2(3+7)+3

2(10)+3

20+3

23

They are equal

The driver decides to check her speedometer while driving along a motorway.
She measures how long it takes her to travel 6 km. It takes her exactly 4 minutes.

What was her speed in km/h? Show your working.

Answers

Answer:

90km/h

Step-by-step explanation:

speed =distance / time

distace = 6

time = because we have hours we have to convert the minute into an hour so

4/60 so that woul be: 0.06666666666

and 0.06666666666 times 6 is 90

i hope that helps

To the nearest year, it will take about years to double the original investment.

Answers

Answer:

11 years on Edg

Step-by-step explanation:

Answer:

11 years

Step-by-step explanation:

1/3 x 12


Answer :
12/3 which is = to 4

Answers

Answer:

1/3 x 12=4

Step-by-step explanation:

The correct answer for 1/3*12 is 4.

1: Times 1/3 by 12

Answer: 4

Hope this helps.

quadrato equation
x²+5x+6=0​

Answers

Answer:

x = - 3, x = - 2

Step-by-step explanation:

Given

x² + 5x + 6 = 0

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2, since

3 × 2 = + 6 and 3 + 2 = + 5, thus

(x + 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

Answer:

x= -2 or -3

Step-by-step explanation:

First, you find the two factors that can replace +5 to enable you to factorize. To do this, you find the factors of +6 and check the factors that when added would give +5.

The factors are +2 and +3

x²+ 5x+6=0

x²+2x+3x+6=0

x(x+2)+3(x+2)=0

(x+2)(x+3)=0

x+2=0                 or                 x+3=0

x= -2                   or                 x= -3

∴x= -2 or -3

Hope this helps!!!

Correct answers only!

To the nearest cent, how much will she have in 1 year?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$5150

Step-by-step explanation:

p = 5000

r = 0.03

t = 1

5000 * (1.03) = 5150

Efficient Homemakers Ltd. makes canvas wallets and leather wallets as part of a money making project. For the canvas wallets, they need three yards of canvas and two yards of leather. For the leather wallets, they need three yards of leather and two yards of canvas. Their production unit has purchased 36 yards of leather and 40 yards of canvas. Let x be the number of leather wallets and y be the number of canvas wallets. If the profit on a canvas wallet is $25 and the profit on a leather wallet is $40, write a function for the total profit on both wallets.

Answers

Answer: F(x, y) = 40x + 25y

Step-by-step explanation:

Given the following :

x = number of leather wallets

y = number of canvas wallets

PROFIT on canvas wallet = $25

PROFIT on leather wallet = $40

Function that calculates the total profit on both wallets:

Profit on each wallet type is the product of the profit per wallet and the number of wallet.

The total profit generated on each wallet type is given by :

F(x) = 40x - - - - (1) leather wallet

F(y) = 25y - - - - (2) canvas wallet

Adding (1) and (2) to get total profit on both wallets:

F(x, y) = 40x + 25y

Use multiples to write two fractions equivalent to 5/8

Answers

Two Equivalent Fractions of 5/8 = 10/16 and 15/24

Maria is coloring in triangles,squares and circles using 3 colors red blue and yellow or Maria only uses a color on each shape one time how many different combinations can she make?

Answers

Answer: 9

Step-by-step explanation:

Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function
f(x)=10(0.98) to represent the amount of radioactive material that will remain after x hours in the container.
Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?
O 0.8 units
O 1.3 units
O 8.2 units
O 9.8 units

Answers

Answer:

Correct option: Third one -> 8.2 units

Step-by-step explanation:

Assuming that the function that models the amount of radioactive material remaining after x hours is:

f(x)=10*(0.98)^x

To find the amount of material after 10 hours, we just need to use x = 10 in the equation and find the value of f(x):

f(10) = 10*(0.98)^10

f(10) = 8.1707

Rounding to nearest tenth, we have f(10) = 8.2

Correct option: Third one

Answer:

correct answer is C 8.2 units

Step-by-step explanation:

hope this helps!

Help!!! I have no idea how to do this

Answers

Answer:

tan53=x/14

Step-by-step explanation:

solve after that with inverse tan and simple algebra

Which statement is true?

pls help me ! * ill give you BRAINLIST , have to get it right * !

Answers

Answer:

Slope of function A is less than function B.

Step-by-step explanation:

Function  A is y = 2x - 4  which has a slope of 2  ( the coefficient of x).

From the graph we see that the slope of Function B is  6/2 = 3 ( from the point (2,6)

What is the value of b in the equation (y^-9)^b =y45

Answers

Answer:

b = -5  

Step-by-step explanation:

[tex]\begin{array}{rcll}(y^{-9})^{b} & = & y^{45}& \\y^{-9b} & = & y^{45} & \text{Multiplied exponents}\\-9b \ln y & =& 45 \ln y & \text{Took the ln of each side}\\-9b & = & 45 & \text{Divided each side by ln y}\\b & = & \mathbf{-5} & \text{Divided each side by -9}\\\end{array}[/tex]

A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?

Answers

Answer: 90 visitors per hour

Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as 450 visitors/5 hours = __visitors/1 hour.

To find out what goes in the bank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 450/5 that has a 1 in the denominator.

If we divide the numerator and denominator of 450/5 by 5,

we get the equivalent fraction 90/1 or 90 visitors/1 hour.

So now we have 90 visitors/1 hour = __visitors/1 hour.

So a 90 must go in the blank.

This means that the museum sees 90 visitors per hour.

find the circumference of the circle

Answers

Answer:

C

Step-by-step explanation:

2 x pi x r = circumfrence

2 x 7 x pi = 43.96

Answer: 43.96 m

Step-by-step explanation: To find the circumference of the circle shown here, start with the formula for the circumference of a circle which is shown below.

Circumference = 2πr

Notice that the radius of the circle is 7 meters.

So we can plug in 7 meters for r in the formula.

So we have (2)(π)(7m) which is equal to 14π m.

So the circumference of the circle shown here is 14π m.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (14)(3.14) which is equal to 43.96.

So the circumference of the circle is

approximately equal to 43.96 m.

Determine whether each expression is a monomial. Write yes or no and explain your reasoning.
21a2 3
1. 7b 2. 5x − 11 3. 2020

Answers

Answer:

1. yes

2. no

3. yes

Step-by-step explanation:

A monomial is one term.

1. Yes. 7b is one term.

2. No. 5x-11 is not one term. It is 2 terms.

3. Yes. 2020 is one term.

round it to the nearest hundredth x= 3.752697842

Answers

Answer:

3.75

Step-by-step explanation:

The hundredth is the 2 number after the decimal point so round that up.

Answer:

3.75

Step-by-step explanation:

the hundreths place is the second number to the left of the decimle, because the number to the left of the hundreths place is less than five. You leave the hundreths place number as it is. This leaves you with your awnser: 3.75

Complete the statements.
Substitute the given value for the
Use the
to simplify.
inside the
First, complete the
parentheses.
Next, complete the
parentheses.
Last, complete the addition.
inside the
The value is

Answers

Answer:

ax+b

Step-by-step explanation:

Answer: Substitute the given value for the (variable)

Use the (order of operations) to simplify

First class complete (multiplication) inside the parentheses

Next, complete the (subtract) inside the parentheses

The value is (8)

Step-by-step explanation:

What is the volume of a cube whose face has an area of 64cm^2?

Answers

Answer:

512

Step-by-step explanation:

Need help with equations with fraction solutions, tysm if you do :)

1-2c = -8

-8/7r = 6

4-4 (4-x) -4x = 18x

1/5m + 3 = 7/5m

Answers

Answer:

1. c = 9/2

2. r = 21/4

3. x = -2/3

4. m = 5/2

Step-by-step explanation:

1.

1 - 2c = -8

Subtract 1 from both sides to isolate the variable:

-2c = -8 - 1 = -9

Divide by -2 to further isolate the variable:

c = (-9) / (-2) = 9/2

So, the answer is c = 9/2.

2.

-8/7r = 6

To isolate the variable, divide both sides by -8/7:

r = (-6) / (-8/7)

Remember that when dividing fractions, it's the same as multiplying by the reciprocal of the divisor, so:

r = (-6) / (-8/7)

r = (-6) * (-7/8) = 42/8 = 21/4

So, the answer is r = 21/4.

3.

4 - 4 * (4 - x) - 4x = 18x

We need to use order of operations and expand the 4 * (4 - x) part first:

4 * (4 - x) = 16 - 4x

Put this back in:

4 - (16 - 4x) - 4x = 18x

4 - 16 + 4x - 4x = 18x

Combine like terms:

-12 = 18x

Divide by 18 on both sides:

x = -12/18 = -2/3

So, the answer is x = -2/3.

4.

1/5m + 3 = 7/5m

Subtract 1/5m from both sides:

3 = 7/5m - 1/5m = 6/5m

Divide both sides by 6/5:

m = 3 ÷ (6/5) = 3 * (5/6) = 15/6 = 5/2

So, the answer is m = 5/2.

Answer:

1. c = 9/2

2. r = -21/4

3. x = -2/3

4. m = 5/2

Step-by-step explanation:

1-2c = -8

1 + 8 = 2c

9 = 2c

c = 9/2

-8/7r = 6

r = 6 × 7/-8

r = 3 × 7/-4

r = -21/4

4-4 (4-x) -4x = 18x

4 - 16 + 4x - 4x = 18x

-12 = 18x

x = -12/18

x = -2/3

1/5m + 3 = 7/5m

3 = (7/5 - 1/5)m

3 = 6/5m

m = 3 × 5/6

m = 5/2

Tim's phone service charges $24.93 plus an additional $0.21 for each text message sent per month. If
Tim's phone bill was $30.18, which equation could be used to find how many text messages, x, Tim
sent last month?

Answers

Answer:

x = 24

Step-by-step explanation:

T = 24.93 + 0.21x      Substitute 30.18 for T

30.18 = 24.94 + 0.21x

-24.94  - 24.94              Subtract 24.94 from both sides

5.24 = 0.21x                   Divide both sides by 0.21

x = 24.95 ≈ 24 because you can't have a partial text message.

If this answer is correct, please make me Brainliest!

PLEASE HELP
Fill in the y values of the t–table for the function y=\root(3)(x)

Answers

From top to bottom, the values are: -2, -1, 0, 1, 2

You can use a graphing calculator to have a function y = x^(1/3) and see what the y values are for the particular x values shown. Alternatively you can compute each input to get (-8)^(1/3) = -2, and (-1)^(1/3) = -1 and so on. The exponent of 1/3 is another way of writing cube root.

The cube root is the opposite of cubing something. If we go from 2 to 2^3 = 8, then reversing this has us go from 8 to 2. Think of a block of clay that is 2 by 2 by 2. The volume of this block is 8 cubic units. If you want to find the side length, then you would apply the cube root (or do guess and check).

Wolfrich lived in Portugal and Brazil for a total period of 141414 months in order to learn Portuguese. He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. How long did Wolfrich live in Portugal, and how long did he live in Brazil?

Answers

Answer:

The total period should be 14 months and not 141414 months.

Thus answer will be: number of months spent in Brazil is 5 months and he spent 9 months in Portugal.

Step-by-step explanation:

Let the number of months he lived in Portugal be X and the number of months he lived in Brazil be Y: Thus we have:

X  +  Y  = 14 months.

He learned an average of 130 new words per month when he lived in Portugal: 130 x number of months (X) = 130X

and an average of 150 new words per month when he lived in Brazil: 150 x number of months in Brazil (Y) = 150Y.

Thus we have 130X + 150Y  = 1920

Since X  +  Y = 14: make X subject of formula: X = 14 - Y. then substitute this for X in the equation below

130X + 150Y  = 1920

130(14-Y) + 150Y = 1920

1820 - 130Y + 150Y = 1920

150Y - 130Y = 1920 - 1820

 20Y = 100

    Y = 100/ 20 = 5 months

Thus number of months spent in Brazil is 5 months. To find the number of months spent in portugal, use the first equation:

    X  +  Y = 14 where Y is 5

   X = 14 - 5 = 9 months. Thus he spent 9 months in Portugal

Find The total number of unit cubes that fill the entire prism.

Answers

Answer:

64

Step-by-step explanation:

put branileist

Answer:

Step-by-step explanation:

72 cuz u multiply 6x3x4=72

Complete sentence for me it’s for geo

Answers

Answer:

volume

Step-by-step explanation:

Craig and Danny are planning to tr y out for the basketball team and one of the criteria fro the selection is based on free throw shots. Craig makes 55% of the free throwshe attempts, while Danny makes 71% of the free throws he attempts. Which is more likely: that Craig will miss two free shot throws in a row, or that Danny will make three free throw shots in a row?

Answers

Answer:

It is more likely that Danny will make three free throw shots in a row.

Step-by-step explanation:

The probabilities of Craig and Danny making the throw they attempt, is given as:

Probability that Craig will make the throw = 55% = 0.55

Probability that Danny will make the throw = 71% = 0.71

Now, the probabilities that they will miss the throw can be found out by subtracting the probabilities, that they can make the throw, from 1.

Probability that Craig will miss the throw = 1 - 0.55 = 0.45

Probability that Danny will miss the throw = 1 - 0.71 = 029

Now,

Probability that Craig will miss two throws in a row = (0.45)(0.45)  Probability that Craig will miss two throws in a row = 0.2025

And,

Probability that Danny will make three throws in a row = (0.71)(0.71)(0.71)

Probability that Danny will make three throws in a row = 0.3579

Since, the probability of Danny making three throws in a row is higher than the probability of Craig missing two throws in a row.

Thus, it is clear that, it is more likely that Danny will make three free throw shots in a row.

Complete the equivalent equation for – 7x - 60 = x2 + 10x.
(x+ (x+ EO
What are the solutions of -7x-60 = 2 + 10x?
.X

Answers

Answer:

Equivalent equation: [tex]x^{2} +17x +60=0[/tex]

Solution: x = {-12, -5}

Step-by-step explanation:

[tex]-7x-60=x^{2} +10x\\x^{2} +10x+7x +60=0\\x^{2} +17x +60=0\\x^{2} +12x+5x +60=0\\x(x+12)+5(x+12)=0\\(x+12)(x+5)=0\\x+12=0\: or \: x+5=0\\x=-12\: or \: x=-5\\x=-12,\:-5\\[/tex]


Factorise fully the following:
a) x² + 3x
b) 2x? - 8x
c) 6x + 9x
d) 12x - 4x?

Answers

Answer:

a) [tex]x(x+3)[/tex]

b) [tex]2x(x-8)[/tex]

c) [tex]3x(2+3x^{2})[/tex]

d) [tex]4x^{2} (3x-1)[/tex]

Step-by-step explanation:

a) [tex]x^{2} +3x=x(x+3)[/tex]

b) [tex]2x^{2} -8x=2x(x-8)[/tex]

c) [tex]6x+9x^{3} =3x(2+3x^{2})[/tex]

d) [tex]12x^{3} -4x^{2} =4x^{2} (3x-1)[/tex]

Factors of the following algebraic expression are

a. Factors of x² + 3x   are x and x+3

b. Factors of 2x² -8x  are 2, x and ( x-4)

c. Factors of 6x +9x³ are 3, x  and (2 + 3x²)

d. Factors of 12x³ - 4x² are 4, x, x and (3x -41)

What is factor of an algebraic expression?

The factor of an given algebraic expressions are one or more numbers or linear or other expressions that multiply to form the given algebraic expression and cannot be broken down further into simpler expressions.

For finding factors of an algebraic expression we can simply take out common expressions from all the terms of the expression and try to simplify it.

a. x² + 3x = x( x+3), (taking x common from both terms)

b. 2x² -8x = 2x ( x-4) (taking 2x common from both terms)

c.  6x +9x³ = 3x (2 + 3x²)   ( taking 3x common from both terms)

d.12x³ - 4x² = 4x× x × (3x -41) ( taking 4x²  common from both terms)

Also, Learn more about the factors of the algebraic expression from the link below:

brainly.com/question/1245504

#SPJ1

-1 + n/2 = -11
HELP
THNX

Answers

Answer:

n = -20

Step-by-step explanation:

[tex]-1 +\frac{n}{2} = -11\\[/tex] add 1 on each side

[tex]\frac{n}{2} = -11 + 1\\\\\frac{n}{2} =-10[/tex]multiply by 2

n = -20

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