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MrRa [10]
3 years ago
5

A baker needs a total of 13(1/3) cups of flour to make four batches of cookies. How much flour, in cups, does she need for each

batch of cookies? Write and solve an equation to find the answer.
Mathematics
2 answers:
alexandr402 [8]3 years ago
4 0

Answer:

She needs 3\frac{1}{3} cups of flour for each batch of cookies.

Step-by-step explanation:

A baker needs a total 13\frac{1}{3} cups of flour to make four batches of cookies.

We have to calculate how much flour she needs for each batch of cookies.

Let the flour needed for one batch be f, so the expression would be

f × 4 = 13\frac{1}{3}

First we convert mixed fraction to proper fraction.

f × 4 = \frac{40}{3}

f = \frac{\frac{40}{3} }{4}

= \frac{40}{3} × \frac{1}{4} = \frac{10}{3}

Now we convert this proper fraction to mixed fraction.

\frac{10}{3} = 3\frac{1}{3}

She needs 3\frac{1}{3} cups of flour for each batch of cookies.

qaws [65]3 years ago
4 0

Answer:

she needs 3 and one-third B: trust me i took the test

Step-by-step explanation:

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Brian spends
mariarad [96]

Answer:

Brian have £105 left.

Step-by-step explanation:

Given,

Amount earned by Brian per week = £168

Fraction spent on rent = 1/8

Amount spent on rent = 1/8 x 168

Amount spent on rent = £42

Fraction spent on food = 1/8

Amount spent on food = 1/8 x 168

Amount spent on food = £21

Amount left = Amount earned - amount spent on rent - amount spent on food

Amount left = 168 - 42 - 21

Amount left = £105

Brian have £105 left.

I hope this helps you

5 0
3 years ago
Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bag
IceJOKER [234]

Answer:

one bag of popcorn costs - 5

Step-by-step explanation:

3 0
3 years ago
What are the real and complex solutions of the polynomial equation? x^4-41x^2=-400. *work needed*
pickupchik [31]
<h3>Answer: x = -5, -4, 4 and 5.</h3><h3>All four zeros are real solutions.</h3>

Step-by-step explanation:

Given the polynomial equation x^4-41x^2=-400.

Adding 400 on both sides to get rid 400 from right side and set 0 on right side, we get

x^4-41x^2+400=-400+400.

x^4-41x^2+400=0.

Factoring by product sum rule.

We need product of 400 and sum upto -41.

We can see that 400 = -25 × -16 = 400 and -25-16 = -41.

Therefore,

x^4-25x^2-16x^2+400=0

Making it into two groups, we get

(x^4-25x^2)+(-16x^2+400)=0

Factoring out GCF of each group, we get

x^2(x^2-25)-16(x^2-25)=0

(x^2-25)(x^2-16) =0

Factoring out  (x^2-25) and (x^2-16) separately by difference of the squares identity a^2-b^2=(a-b)(a+b), we get

(x^2-25) = x^2-5^2= (x-5)(x+5) and

x^2-16 = x^2-4^2 =(x-4)(x+4).

Therefore,

(x-5)(x+5)(x-4)(x+4) =0

Applying zero product rule,

x-5=0

x+5=0

x-4=0 and

x+4=0.

Therefore,

<h3>x = -5, -4, 4 and 5.</h3><h3>All four zeros are real solutions.</h3>
6 0
3 years ago
A river flows at 2m/s. Juan’s boat can travel twice as fast down the river as it can go up the river. How fast can the boat go i
solniwko [45]

Answer: 2m/s

Step-by-step explanation:

The boat goes twice as fast down the river, which means it goes twice as slow up the river.

Because the river flows at 2m/s, I think the answer is 2m/s

6 0
2 years ago
In which of the scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope
den301095 [7]

Answer- the scenario depicting cars in a city and its pollution, my reasoning is that this scenario presents the only possibility for one end of the slope to fully nullify itself through use or discontinuation of use. The others have a lower limit similar to a price ceiling except for a minimum amount.

8 0
3 years ago
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