MATHEMATICS HIGH SCHOOL

JOSIE MAKES FRUIT PUNCH BY MIXING FRUIT JUICE AND LEMONADE IN THE RATIO 1:3 SHE NEEDS 24 LITRES OF PUNCH FOR A PARTYHOW MUCH FRUIT JUICE DOES SHE NEED?
FRUIT JUICE:
LEMONADE:
(IN LITRES)

Answers

Answer 1

Answer:

the answer is as following:

Fruit juice:6

Lemonade:18

the answer has to equal 1/3 so the answer is 6 for fruit juice and 18 for lemonade

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The sum of a number y and -3 is -8 .
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What are the steps to solving the inequality 3b + 8 ≥ 14

Answers

Answer:

The solution of the given inequality $3b+8\geq 14$ is: $[2, \infty)$

Step-by-step explanation:

Given the inequality equation: $3b+8\geq 14$

Subtraction property of equality states that you subtract the same number to both sides of an equation.

Subtract 8 to both sides of an equation.

$3b+8-8\geq 14-8$

Simplify:

$3b\geq 6$

Division property of equality states that you divide the same number to both sides of an equation.

Divide both sides by 3 we get;

$(3b)/(3) \geq (6)/(3)$

Simplify:

$b\geq 2$

therefore, the solution of the given inequality is: $b\geq 2$ or $[2, \infty)$

3b+8≥14
Subtract 8 from both sides
3b≥14-8
3b≥6
Divide both sides by 3
b≥6/3
b≥2

Prove that

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = $(sinA)/(cosA)$ , cot A = $(cosA)/(sinA)$

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - $(cos^2A)/(sinA)$ + $(sin^2A)/(cosA)$ - sinA ( collect like terms )

= $(sin^2A)/(cosA)$ - $(cos^2A)/(sinA)$

= ( sinA × $(sinA)/(cosA)$ ) - ( $(cosA)/(sinA)$ × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

Delia can buy 3 sweatshirts for a total of $39. How much would it cost if she were to buy 7 sweatshirts?

Answers

Answer:

7 sweatshirts costs $91

Step-by-step explanation:

Well, first we have to find how much each sweatshirt costs alone. The sweatshirts are $13 each. So, if we multiply 13 by 7, you'll get the amount that 7 sweatshirts costs.

I'm 97% sure this is correct

Hope this helped! Please mark brainliest!

resturant sales totaled 38676 for a week your customer count was 7325 what did the average customer spend for the week

Answers

To answer this question, you need to divide 38676 by 7325 to find out how much each customer spent on average. 38676 divided by 7325 is 5.28. Each customer spent an average of $5.28.

Find the distance between the points (11, 4) and (10, 5). 1 2

Answers

I hope this helps you

Answer:

Hi, I'm on this assignment. :)

√2

Step-by-step explanation:

(x(2) - x(1))^2 + (y(2) - y(1))^2

(10 - 11)^2 + (5 - 4)^2

(-1)^2 + (1)^2

1 + 1

√2

The answer options are

2√2

2 <--

On a business trip you drove 300 miles in 5 hours.driving the same rate how many miles can you travel in 7?

Answers

300 miles / 5 Hrs = 60 MPH
60 MPH * 7 HR = 420 Miles

the answer to this is 420

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in 2004, 510,000 acres of farmland in region were devoted to growing nuts. by 2011, the number of acres used to grow nuts had increased to 830,000. find the avarage rate of change in the number of acres in a region used to grow nuts from 2004 to 2011

JOSIE MAKES FRUIT PUNCH BY MIXING FRUIT JUICE AND LEMONADE IN THE RATIO 1:3 SHE NEEDS 24 LITRES OF PUNCH FOR A PARTYHOW MUCH FRUIT JUICE DOES SHE NEED?FRUIT JUICE: LEMONADE:(IN LITRES)

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JOSIE MAKES FRUIT PUNCH BY MIXING FRUIT JUICE AND LEMONADE IN THE RATIO 1:3 SHE NEEDS 24 LITRES OF PUNCH FOR A PARTYHOW MUCH FRUIT JUICE DOES SHE NEED?
FRUIT JUICE:
LEMONADE:
(IN LITRES)