Leah is a baker at The Cupcake Uptake. The store's recipe for orange sherbet cupcakes calls for 3 cups of sugar for every 8 cups of flour.
If Leah needs to make a batch of orange sherbet cupcakes with 32 cups of flour, how much sugar should she use?

Answer:

2nd option

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{A'C'}{AC}[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] = 1 [tex]\frac{1}{2}[/tex]

Answer:

Sam would make about 13,440 per year.

His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants.

Step-by-step explanation:

0.32=1/f

1/0.32=f

f=3.125

Answer:

[tex]\tt x=32.8[/tex]

Step-by-step explanation:

Given: Figare

Find: x

~

Answer:

y= -2x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠R=90-61=29°

using sin formula

[tex]\frac{x}{\sin~29} =\frac{59}{\sin~61} \\x=\frac{\sin~29}{\sin~61} \times ~59 \approx~32.7[/tex]

Answer: Angles RLN and MLK would be vertical angles.

Step-by-step explanation:

A horizontal line has points K, L, N. A line extends from point L up and to the right to point M: Angles RLN and MLN would be vertical angles.

Based on the given information, if a horizontal line contains points K, L, and N, and a line extends from point L up and to the right to point M, then angle KLM and angle MLN are a linear pair.

Now, if Ray LR is added to the diagram opposite to Ray LM, the resulting angle RLN would be formed.

Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures. Looking at the diagram, angles RLN and KLN do not share a common vertex, so they cannot be vertical angles.

Similarly, angles RLN and KLM do not share a common side or form a straight line, so they cannot be a linear pair.

Therefore, the correct statement is: Angles RLN and MLN would be vertical angles.

To know more about Angles

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Step-by-step explanation:

Given:

Theater has 15 seats

Last Row has 72 seats.

Theater has a total of 870 seats.

Unknown: Number of rows

Number of seats in each row.

Equations: Since we know the total number of seats the Theater has we can use the sum of arithmetic series

[tex]s = \frac{a _{1} + a _{n} }{2} n[/tex]

Where a1 is the first row of seats

s is total number of seats

an is last row of seats

n is number of rows.

[tex]870 = \frac{15 + 72}{2} (n)[/tex]

[tex]870 = \frac{87}{2} n[/tex]

[tex]2(870) = 87n[/tex]

[tex]20 = n[/tex]

So we have 20 rows.

To find how many seats does each row increase, we use this formula,

[tex]a _{n} = a + (n - 1)d[/tex]

Let use the 20th row as an example,

[tex]a _{20} = 15 + (19)d[/tex]

[tex]72 = 15 + (19)d[/tex]

[tex]57 = 19d[/tex]

[tex]3 = d[/tex]

So the common difference is 3.

So the seats of each row increase by 3.

Answer:

??????????

Step-by-step explanation:

Answer:

5 adult and 3 student tickets were purchased

Step-by-step explanation:

Let x be the number of adult tickets

Then 8−x is the number of student tickets

7.25x+5.5(8−x)=52.75

7.25x+44−5.5x=52.75

1.75x=8.75

x=5

Therefore, 5 adult and 3 student tickets were purchased

Answer:

Step-by-step explanation:

There's no such thing as answer for this, as this is an algebraic expression.

Answer:

Vol = 75.36 in^3

Step-by-step explanation:

A can is a cylinder. The volume of a cylinder is:

V = pi•r^2•h

Your radius is 2 inches. And height given is 6 inches.

V = pi•2^2 •6

V = (3.14)4(6)

V ~= 75.36 cubic inches

If you need a different unit like ml or oz. please comment, will edit.

Hope this helps!

Mark me the Brainliest! tysm!

Step-by-step explanation:

Area=1/2(πr^2)

= 1/2 × 22/7 × 1^2

=11/7=1 4/7cm^2

There are no options.

[tex]\frac{1}{b^{4} }[/tex]   <------------- only expression created by this rule.

Answer:

Step-by-step explanation:

The given expression should be typed as b^(-4), which indicates that variable b has the exponent -4.

Recall that:            

     1

------------- = a^(-n)

   a^n

                                        1

Therefore, b^(-4) =   --------------

                                     b^4

Answer:

A and C (integers are whole numbers, so NOT fractions or decimals.)

Step-by-step explanation:

Answer:

A, C and E

Step-by-step explanation:

Integers are whole positive or negative numbers.

The monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660

It is given that the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, is compounded monthly.

It is required to find the monthly payment.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A=P(1+ \frac{r}{n})^n^t[/tex]

Where A = Final amount

           P = Principal amount

           r  = annual rate of interest

           n = how many times interest is compounded per year

           t = How long the money is deposited or borrowed (in years)

We have P = $23,570

               r  =  10.43% = 10.43/100 = 0.1043

               n = 12

               t = 5 years

Putting all the values in the formula, we get:

[tex]\rm A=23,570(1+\frac{0.1043}{12})^1^2^\times^5[/tex]

[tex]\rm A = 23,570\times1.680\\\rm A = 39597.6[/tex]

The monthly payment will be:

=[tex]\rm \frac{A}{t(in \ months)}[/tex]

[tex]\rm = \frac{39597.6}{60} \\\rm = 659.96\\\rm \approx 660[/tex]

Thus,  the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660.

Learn more about the compound interest:

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Answer:

D. 505.79

Step-by-step explanation:

edge 2022

Answer:

see explanation

Step-by-step explanation:

note that (sinx)² = sin²x

4sin²x - 2 = 0 ( add 2 to both sides )

4sin²x = 2 ( divide both sides by 4 )

sin²x = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( take square root of both sides )

sinx = ± [tex]\sqrt{\frac{1}{2} }[/tex] = ± [tex]\frac{1}{\sqrt{2} }[/tex]

sinx = [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx > 0 , then x is in 1st/2nd quadrants )

x = [tex]\frac{\pi }{4}[/tex] , π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{3\pi }{4}[/tex]

sinx = - [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx < 0 , then x is in 3rd/4th quadrants )

x = π + [tex]\frac{\pi }{4}[/tex] = [tex]\frac{5\pi }{4}[/tex] , 2π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{7\pi }{4}[/tex]

solutions are

[tex]\frac{\pi }{4}[/tex] , [tex]\frac{3\pi }{4}[/tex] , [tex]\frac{5\pi }{4}[/tex] , [tex]\frac{7\pi }{4}[/tex] in the interval [ 0, 2π )

Note: I will be writing these in slope-intercept form.

[6] y = 2x + 4

Since the line is going from bottom left to top right, we know the slope of the line is positive.

-> The b, or y-intercept, is 4 because the line hits the y-axis at 4.

-> The slope can be found with change in y over change in x,

[tex]\frac{14-4}{5-0} =\frac{10}{5} =2[/tex]

-> The final equation is y = 2x + 4

[7] y = -3x - 5

Because the line is going from top left to bottom right, we know the slope of the line will be negative.

-> The b, or y-intercept, is -5 because the line hits the y-axis at -5.

-> The slope can be found with change in y over change in x,

[tex]\frac{4--5}{-3-0}=\frac{4+5}{-3-0}=\frac{9}{-3}=-3[/tex]

-> The final equation is y = -3x - 5

Answer: 10.5

Step-by-step explanation:

Answer:

b is my answer and that's it

Answer:

C.)The difference between the mean heights is approximately 3 times the MAD of the data sets.

Step-by-step explanation:

just took it on edge

Answer:

18 units by 18 units

makes sure the square add up to 18 going across and 18 going down.

Step-by-step explanation:

Foreign Policy: Imperialism  For82622

Answer:

$66.50

Step-by-step explanation:

Given Us that:

⇒ Video game: $70 Sale: 5% off

To Find:

What is the new cost of the video game?

Note:

Off ⇒ Discount ⇒ decrease ⇒ subtract

5% = 0.05

Solve:

⇒ $70 × 0.05 = 3.50

⇒ $70 - 3.50 = 66.50

Hence, New cost of the video games → $66.50

~Learn with Lenvy~

Answer:

the answer is 45%.

Step-by-step explanation:

if you add 5% divided by 3 = 15%.

So if you add all of those plus the 30% you will be getting 45%.

Answer:

x = 14

Step-by-step explanation:

x + 96 + 5x = 180

6x + 96 = 180

6x = 84

x = 14

Answer:

[tex]\huge\boxed{\sf x = 14}[/tex]

Step-by-step explanation:

x + 96 + 5x = 180 (Angles on a straight line)

Combine like terms

x + 5x + 96 = 180

6x + 96 = 180

Subtract 96 to both sides

6x = 180 - 96

6x = 84

Divide both sides by 6

x = 84 / 6

x = 14

[tex]\rule[225]{225}{2}[/tex]