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Bogdan [553]
3 years ago
14

MARKING BRINLEST RIGHT NOWW HURRYY

Mathematics
1 answer:
natima [27]3 years ago
6 0

Answer:

$275

Step-by-step explanation:

So she put $60 into savings....

X is the amount of her paycheck...

after buying the clothes she had X-75

She spend (2/5)(x-75)  on books

The amount deposited into saving and spent on groceries totals 120.

So

X = 75 + (2/5)(x-75) + 120

X = (2/5)(X-75) + 195

X = (2/5)X - 30 + 195

X = (2/5)X + 165

(3/5)X = 165

X = 165*5/3 = 5*55 = 275

Starts with 275

spent 75 on clothes, which makes it 200.

2/5 of 200 is 80, which makes it 120.

60 deposited into savings and 60 on groceries

Her paycheck was 275

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Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale. To make the punch, she
dalvyx [7]

Given:

Elise is making punch for the party that requires 2 parts of fruit juice for every 5 parts of ginger ale.

To make the punch, she uses 18 ounces of fruit juice and 3 containers of ginger ale.

To find:

The number of ounces in each container of ginger ale.

Solution:

Let n be the number of ounces in each container of ginger ale.

According to the question, the ratio of fruit juice and ginger ale is 2:5. it means,

\dfrac{\text{Fruit juice}}{\text{Ginger}}=\dfrac{2}{5}

\dfrac{18}{\text{Ginger}}=\dfrac{2}{5}

5\times 18=2\times \text{Ginger}

90=2\times \text{Ginger}

Divide both sides by 2.

45=\text{Ginger}

So, ginger required for punch is 45 ounces.

Number of containers = 3

Number of ounces in each container of ginger ale = n

Number of ounces in 3 containers of ginger ale = 3n

Now,

3n=45

Divide both sides by 3.

n=15

Therefore, 15 ounces are in each container of ginger ale.

6 0
3 years ago
Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original c
dusya [7]

Answer:

joel subtract the 5% sales tax.

The correct expression is

1.05(190)(0.8) = $159.60


6 0
3 years ago
Read 2 more answers
Let f be a differentiable function such that f(1)=π and f'(x)=√x^3+6. what is the value of f(5)?
natali 33 [55]

The value of f(5) is 49.1

Step-by-step explanation:

To find f(x) from f'(x) use the integration

f(x) = ∫ f'(x)

1. Find The integration of f'(x) with the constant term

2. Substitute x by 1 and f(x) by π to find the constant term

3. Write the differential function f(x) and substitute x by 5 to find f(5)

∵ f'(x) = \sqrt{x^{3}} + 6

- Change the root to fraction power

∵ \sqrt{x^{3}} = x^{\frac{3}{2}}

∴ f'(x) = x^{\frac{3}{2}} + 6

∴ f(x) = ∫ x^{\frac{3}{2}} + 6

- In integration add the power by 1 and divide the coefficient by the

 new power and insert x with the constant term

∴ f(x) = \frac{x^{\frac{5}{2}}}{\frac{5}{2}} + 6x + c

- c is the constant of integration

∵ \frac{x^{\frac{5}{2}}}{\frac{5}{2}}=\frac{2}{5}x^{\frac{5}{2}}

∴ f(x) = \frac{2}{5} x^{\frac{5}{2}} + 6x + c

- To find c substitute x by 1 and f(x) by π

∴ π = \frac{2}{5} (1)^{\frac{5}{2}} + 6(1) + c

∴ π = \frac{2}{5} + 6 + c

∴ π = 6.4 + c

- Subtract 6.4 from both sides

∴ c = - 3.2584

∴ f(x) = \frac{2}{5} x^{\frac{5}{2}} + 6x - 3.2584

To find f(5) Substitute x by 5

∵ x = 5

∴ f(5) = \frac{2}{5} (5)^{\frac{5}{2}} + 6(5) - 3.2584

∴ f(5) = 49.1

The value of f(5) is 49.1

Learn more:

You can learn more about differentiation in brainly.com/question/4279146

#LearnwithBrainly

4 0
3 years ago
Please help<br> what does "k" equal
OLEGan [10]
Answer=-7

From f(x) to g(x) the parabola moves down 7 units
4 0
4 years ago
Read 2 more answers
420g of flour is to be divided in a ratio of 7:3 for two different recipes, find the smaller amount.
Nutka1998 [239]

Answer:

126 g

Step-by-step explanation:

Sum the parts of the ratio, 7 + 3 = 10 parts

Divide the quantity of flour by 10 to find the value of one part of the ratio

420g ÷ 10 = 42g ← value of 1 part of the ratio, thus

3 parts = 3 × 42g = 126g ← smaller amount

3 0
3 years ago
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