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3 years ago

A recipe calls for 2/5 cup of sugar for every 8 teaspoons of vanilla. What is the unit rate in teaspoons per cup ?

2 answers:

7 0

For 2/5 cup, vanilla needed = 8 teaspoons
so, for 1 cup, it would be: 8 / 2/5
⇒8 × 5/2
⇒40/2
⇒20

In short, Your Answer would be 20 teaspoons

Hope this helps!

Vaselesa [24]3 years ago

5 0

8 teaspoons would be needed for 2/5 cup.

Ratio of teaspoons to cup = 8 teaspoons / (2/5) cups

= 8 * 5/2 teaspoons/cup

= 20 teaspoons/cup

So the unit rate is 20 teaspoons per cup.

Hope this explains it.

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Help Q-Q 7/10c =4 1/5

shepuryov [24]

$\huge\mathfrak\green{answer}$

$= q - \frac{q7}{10} c = \frac{41}{5}$

$\red{multiply}$

$= q - \frac{cq7}{10} = \frac{41}{5}$

$\red{subtract \: q \: from \: both \: sides}$

$= q - \frac{cq7}{10} - q = \frac{41}{5} - q$

$\red{now \: simplify}$

$= - \frac{cq7}{10} = \frac{41}{5} - q$

$\red{multiply \: 10 \: both \: sides}$

$= 10( - \frac{cq7}{10} ) = 10. \frac{41}{5} - 10q$

$\red{simplify}$

$= - cq7 = 82 - 10q$

$\red{now \: divide}$

$= \frac{ - cq7}{ - q7} - \frac{82}{ - q7} - \frac{10q}{ - q7}$

$\red{simplify}$

$= c = - \frac{82 - 10q}{q7} (q≠0)$

Brainliest? :) (I'd really appreciate if you mark me as brainliest)

$\huge\mathfrak\green{thank \: you}$

5 0

3 years ago

Read 2 more answers

Find domain and range -√x-5+10

inysia [295]

When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
,infinity)
So the answer if the square root is only over the x the answer is
(0, infinity)

But if the square root is over the x- 5 then this would brIng a smaller amount of possible x values. since anything under the square root sign has to be greater than 0, you can say that:
(x - 5) > 0
x > 5
Therefore the domain would start at 5 and the answer would be:
(5, infinity)

8 0

3 years ago

Three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is

klio [65]

Let the lowest score be x.

The 3 consecutive even scores are:

1st score = x

2nd score = x + 2

3rd score = x + 4

Sum of their score is 270:

x + (x + 2) + (x + 4) = 270

Solve x:

x + (x + 2) + (x + 4) = 270

x + x + 2 + x + 4 = 270

3x + 6 = 270

3x = 264

x = 88

Find their scores:

1st score = x = 88

2nd score = x + 2 = 88 + 2 = 90

3rd score = x + 4 = 88 + 4 = 92

Answer: The scores are 88, 90 and 92

6 0

2 years ago

Which graph represents the following system of inequalities? y > 2x - 5 y <-3x

NARA [144]

Answer:

The graph i the attached figure

Step-by-step explanation:

we have

$y > 2x-5$ ----> inequality A

The solution of the inequality A is the shaded area above the dotted line $y=2x-5$

The slope of the dotted line is positive

The x- intercept of the dotted line is the point (2.5,0)

The y- intercept of the dotted line is the point (0,-5)

$y < -3x$ -----> inequality B

The solution of the inequality B is the shaded area below the dotted line $y=-3x$

The slope of the dotted line is negative

The x- intercept of the dotted line is the point (0,0)

The y- intercept of the dotted line is the point (0,0)

The solution of the system of inequalities is the shaded area between the two dotted lines

see the attached figure

8 0

2 years ago

a boat is trying to cross a river that is 2 miles wide, by going straight across. The speed of the boat is 25 mph, but the curre

vodomira [7]

Answer: It will take the boat 0.11 hour to cross the river

From the original starting point, the boat end up 1.85 miles away from that point.

Step-by-step explanation: Please find the attached file for the solution

4 0

2 years ago