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3 years ago

cindy made 5/6 of a quart of hot chocolate. Each mug holds 1/6 of a quart. How many mugs will Cindy be able to fill?

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

4 0

The problem is really asking 5/6 divides by 1/6. This yields 5. Hope this helps!

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What is 2.1 divided by 1.488

vekshin1

Answer:

= 0.708

Step-by-step explanation:

3 0

3 years ago

Find the slope of the line that passes through (-24, 90) and (-23, 52).

Ostrovityanka [42]

Answer:

-38

Step-by-step explanation:

The slope is rise over run. You need to find out how far one point is from the other. To do this, use the equation for slope.

$m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }$

Plug in the points given into the equation and solve for slope (m).

$m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }\\m=\frac{90-52 }{-24-(-23) }\\m=\frac{90-52 }{-24+23 }\\m=\frac{38}{-1} \\m=-38$

The slope of the line is -38.

4 0

3 years ago

Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $1

olchik [2.2K]

Answer:

The Total number of adults ticket's is 15

The Total number of Senior citizen ticket's is 5

Step-by-step explanation:

Given as :

The total number of movies tickets were bought = 20

The cost of adults tickets = $ 8.00

The cost of senior citizen tickets = $ 4.00

The total money spent on movie tickets = $ 140

Let The total number of adults tickets = A

And The total number of senior citizen tickets = S

Now, According to question

The total number of movies tickets were bought = 20

I.e The total number of adults tickets + The total number of senior citizen tickets = 20

Or, A + S = 20

And $ 8 A + $ 4 S = $ 140 .........1

I.e 8 × ( A + S ) = 8 × 20

Or, 8 A + 8 S = 160 .......2

Solving the equation 1 and 2

Or, ( 8 A + 8 S ) - ( 8 A + 4 S ) = 160 - 140

Or, ( 8 A - 8 A ) + ( 8 S - 4 S ) = 20

or, 0 + 4 S = 20

∴ S = $\frac{20}{4}$

I.e S = 5

So, The number of Senior citizen ticket's = 5

Put The value of S in eq 1

So, 8 A + 4 × 5 = 140

Or, 8 A = 140 - 20

Or, 8 A = 120

∴ A = $\frac{120}{8}$

I.e A = 15

So, The number of adult's tickets = 15

Hence The Total number of adults ticket's is 15

And The Total number of Senior citizen ticket's is 5 Answer

8 0

3 years ago

Solve 11 < 3x+8 < 20.

Vilka [71]

Answer:

1<x<4

Step-by-step explanation:

this helps me out a lot in my math class

5 0

3 years ago

Read 2 more answers

(3-4i)(6i+7)-(2-3i)

Sergeu [11.5K]

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

$\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}$

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

$\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}$

Now combine like terms.

$\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}$

Imaginary Unit

$\displaystyle \large{i = \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2} = - 1 }$

Therefore:-

$\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}$

Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

$\displaystyle \large{- 10i+ 45 - (2 - 3i)} \\ \displaystyle \large{- 10i+ 45 - 2 + 3i}$

Combine like terms.

$\displaystyle \large{43 - 7i}$

5 0

3 years ago