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ladessa [460]
2 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]2 years ago
7 0

Answer:

the answer is b

Step-by-step explanation:

it is

Alexeev081 [22]2 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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A rectangle is 9 ft long and 40 in. wide. What is its area in square feet? (Note: 1 ft = 12 in.)
ivolga24 [154]

Answer: first option

Step-by-step explanation:

Let's make the following conversion:

40 inches to feet (Knowing that 1 feet=12 inches):

(40in)(\frac{1ft}{12in})=3.333ft

The formula for calculate the are of  a rectangle is:

A=l*w

Where l is the lenght and w is the width.

Therefore, when you substitute values, you obtain the following result:

l=9ft\\w=3.33ft\\\\A=(9ft)(3.333ft)\\A=30ft

4 0
2 years ago
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In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline
VLD [36.1K]

Answer:

<u>The measure of the arc CD = 64°</u>

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>

6 0
2 years ago
Which figure has a greater volume, and how much greater is it? 2 figures. One figure has a rectangular prism with length of 36 f
denpristay [2]

Answer:

The volume of figure 1 is 11340 ft^3 greater than figure 2

Step-by-step explanation:

For rectangular prism, volume is

V = lenght x width x height

V = 36 x 21 x 18 = 13608 ft^3

For rectangular pyramid, volume is

V = (lenght x width x height) ÷ 3

V = (36 x 21 x 9) ÷3 = 6804/3 =2268 ft^3

Difference in volume = 11340 ft^3

8 0
2 years ago
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Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Olegator [25]
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to

210*0.05= 10.5 g salt

The rest of the amount, determined by difference, is the amount of solvent which is water.

water = 210-10.5 = 199.5 g salt

To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant. 

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5 0
2 years ago
vegetable ghee is stored in the cylindrical vessel of internal radius 1.4m height 1.5m. if it is transferred into the rectangula
irina1246 [14]

Answer:

<em>5,598 cans are required to empty the vessel</em>

Step-by-step explanation:

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V = \pi r^2h

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V=X.Y.Z

A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:

V_1 = \pi 1.4^2*1.5

V_1=9.236\ m^3

Converting to cubic cm:

V_1=9.236*1,000,000\ cm^3

V_1=9,236,282\ cm^3

The volume of each rectangular tin can is:

V_2=33*10*5=1,650\ cm^3

V_2=1,650\ cm^3

The number of cans required to empty the vessel is:

V_1/V_2=9,236,282/1,650 = 5,598

5,598 cans are required to empty the vessel

5 0
2 years ago
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