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ladessa [460]
3 years ago
10

A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe. Fruit Cups U

sed Apples 3 Mangoes 1 Blueberries 2 Blackberries 1 If a total of 16 cups of apples and blackberries are used, how many batches of the recipe did the chef make? 2 batches 4 batches 6 batches 8 batches
Mathematics
2 answers:
Gennadij [26K]3 years ago
7 0

Answer:

the answer is b

Step-by-step explanation:

it is

Alexeev081 [22]3 years ago
5 0

Answer:

4 batches

Step-by-step explanation:

Let

x -----> the number of cups of apples

y -----> the number of cups of mangoes

z -----> the number of cups of Blueberries

w -----> the number of cups of Blackberries

we know that

x/y=3/1 -----> equation A

x/z=3/2 ----> equation B

x/w=3/1 ----> equation C

x+w=16 ----> equation D

Solve the system of equations C and D

x=3w ----> equation C

x+w=16 ----> equation D

Substitute equation C in equation d and solve for w

3w+w=16

4w=16

w=4 cups of Blackberries

Remember that

For 1 batch of the recipe are used 1 cup of Blackberries

so

For 4 cups of Blackberries

The number of batches are

(1)*4=4 batches

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b

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Answer:

<em>The perimeter is 72 units and the area is 149 square units.</em>

Step-by-step explanation:

\triangle SBA has coordinates S(15,-8),B(-2,21) and A(0,0)

Using the distance formula.........

Length of side SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}

Length of side BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}

Length of side AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17

So, the perimeter of the triangle will be:  (SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72 units.   <em>(Rounded to the nearest unit)</em>

The height of the triangle for the corresponding base SB is 8.89 units.

<u>Formula for the Area of triangle</u>,  A= \frac{1}{2}(base\times height)

So, the area of the \triangle SBA will be:  \frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149 square units.   <em>(Rounded to the nearest unit)</em>

3 0
3 years ago
The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature fin
taurus [48]

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = a(e)^{nt}

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = 98.6(e)^{nt} --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = 91.8(e)^{n\times 1}

eⁿ = \frac{84.4}{91.8}

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = 98.6(e)^{-0.08403t}

(e)^{0.08403t}=\frac{98.6}{91.8}

ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

                          = 10:90 - 00:51

                          = 10:39 am

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
30 points + Brainliest
I am Lyosha [343]

Your answer is A. If we find the slope of the line and draw it out farther, we can see that the points 4,7,10, and 13 would fall on that line.

6 0
4 years ago
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