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insens350 [35]
3 years ago
11

Brayden is making soup. To make the broth, he combines 2/3 cup of vegetable stock and 2/5 cup of chicken stock. Boiling the brot

h causes 1/4 cup of the liquid to evaporate. How much broth is left after it is boiled? Explain how you solved.
Mathematics
1 answer:
densk [106]3 years ago
3 0

Answer:

4/5 cup

Step-by-step explanation:

Hi.

First, what you would want to do is to find the total amount of the liquid before anything evaporated.

2/5 + 2/3

Find a common denominator

6/15 + 10 / 15 = 16/15

Now you know that 16/15 cups is how much broth there was before anything evaporated. Now you want to find out how much broth there was after 1/4 cup evaporated.

To find this, multiply 16/15 × 1/4

You will get 4/15

Lastly, you want to subtract the amount evaporated from the amount that was already there.

16/15 - 4/15 = 12/15 = 4/5 cup

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Andreas93 [3]

Given:

A figure of a right angle triangle.

To find:

The value of Tan R.

Solution:

Trigonometric Ratio: In a right angle triangle,

\tan \theta =\dfrac{Perpendicular}{Base}

Using the above trigonometric ratio in the given triangle, we get

Tan R =\dfrac{AD}{AR}

Tan R =\dfrac{13}{17}

Therefore, the correct option is C.

6 0
3 years ago
Barbara drives between Miami, Florida and West Palm Beach, Florida. she drives 45 miles in clear weather and then encounters a t
WINSTONCH [101]

Answer:

Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

Step-by-step explanation:

Let v_1 be the speed and  t_1 be the time Barbara drives in clear weather, and let v_2 be the speed and t_2 be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). v_2 = v_1 -22

Also,

(2). v_1t_1 = 45miles

(3). v_2 t_2 = 57,

and

(4). t_1+t_2 = 2.25hr

From equations (2) and (3) we get:

t_1 = \dfrac{45}{v_1}

t_2 =\dfrac{57}{v_2}

putting these in equation (4) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25

and substituting for v_2 from equation (1) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25

This equation can be rewritten as

2.25v_1^2-151.5v_1+990=0

which has solutions

v_1 = 60

v_1 = 7.33

We take the first solution v_1 =60 because it gives a positive value for v_2:

v_2 = v_1 -22

v_2 = 60 -22\\

v_2 = 38.

Thus, Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

4 0
4 years ago
The length of a rectangle is five centimeters less than width. Find the dimensions of the
kondaur [170]

Answer:

w is 10 and l is 5

Step-by-step explanation:

l=w-5

lw=50

w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10

8 0
3 years ago
Graph the function f(x) = − x4 + 7x3 − 9x2 − 3x + 10 using graphing technology and identify for which values of x the graph is d
jolli1 [7]

In the attached diagram you can see the graph of the function f(x) = -x^4 + 7x^3 - 9x^2 - 3x + 10.

As you can see graph is:

1. increasing from x = −2 to x = −1

2. decreasing from x = 0 to x = 1

3. decreasing and then increasing from x=1 to x=2

4. increasing from x=2 to x=4.

Answer: correct choice is B.


4 0
3 years ago
Read 2 more answers
Is 3 yards bigger than 21 feet is 21 feet bigger than 3 yards
Kipish [7]
No because 21 ft equals 7 yd
which us bigger than 3 yd
6 0
3 years ago
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