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quester [9]
3 years ago
5

Sergio thinks he will need 90 cups of fruit juice to make 210 cups of punch. Explain his method. How many cups of fruit juice wo

uld Sergio need to make 154 cups of punch? Explain your calculations.
Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

66 cups of fruit juice will be required .

Step-by-step explanation:

According to the question ,

90 Cups of fruit juice is required for making of 210 cups of punch .

So,

For making of one cup of punch ,

\frac{90}{210} =  \frac{3}{7} cups of fruit juice will be required ,

Thus,

For making of 154 cups of punch ,

Total number of cups of fruit juice required will be \frac{3}{7}×154.

= 66 cups.

Thus a total of 66 cups of fruit juice will be required.

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You just received an insurance settlement offer related to an accident you had six years ago. The offer gives you a choice of on
Usimov [2.4K]

answer:

Step-by-step explanation:

Option A. $1565 for 72months

Then the total is $112,680

Option B. $1012 for a month for 10 years,

10years is equivalent to 120months

Therefore, the total income is 1012×120

$121,440.

Option 3.

$100,000 once payment.

All the information is correct.

But,

Since the individual did not care if he receives the fund or it is transfer to his heir, so we can ignore the third option of collecting $100000 lump sum.

Also, since he is also ready to wait and he is indifferent about who earns the insurance settlement so he can as well wait and ignore the 72months.

So he can go for the second option because it pays the largest amount and he will receive the most payments.

He will receive $121,440 if he waits for ten years.

4 0
3 years ago
2x + 3y + x + 7 identidy the terms, like terms, coefficients, and constants in each expression
charle [14.2K]

Answer:

terms, 2x, 3y , x and 7,

like terms, 2x, 3y, x and 7

Coefficient. 2 is the coefficient of 2x and 3 is the coefficient of 2y 1 is the coefficient of x

Constant. 7

Step-by-step explanation:

Given:

2x+3y+x+7

Terms are the number of parts in the  expression.

there are four terms 2x, 3y , x and 7,

Like terms are the part of the polynomials. 2x, 3y and x are like terms because  they both have an x attached. 7 is like terms because they have nothing attached.

The number that are  attached to variable is called Coefficient.

So In the term 2x the  number 2 is a coefficient because it is  attached to x similarly 3y the number 3 is a coefficient because it is  attached to y

and in the term x the number 1 is a coefficient.

Constant are the numbers that are not attached to any variable and it is not change. Such as 7 is the constant term.

7 0
3 years ago
It takes Adi 2 hours to drive from home to her office and 3 hours if she drives 15 mph slower. What is the distance between Adi'
Solnce55 [7]

Answer:

90 miles

Step-by-step explanation:

Let ori. speed = z

distance = speed × time

= z × 2

= 2z miles

distance = (z - 15) × 3

= (3z - 45)miles

2z = 3z - 45

z = 45mph

distance = 45 × 2

= 90 miles

distance = (45-15) × 3

= 90 miles

(Correct me if i am wrong)

8 0
3 years ago
The Baltimore Marathon features a relay race.
Kazeer [188]

Answer:

S = 149\ min

or

S = 2\ hr\ 29\ min

Step-by-step explanation:

Let S be the sum of the times for all winning team.

Given:

leg 1. 32 minutes 56 seconds.

leg 2. 42 minutes 28 seconds.

leg 3. 34 minutes 34 seconds.

leg 4. 39 minutes 2 seconds

We need to find the total time to run all four  legs of the marathon.

Solution:

Sum of the times for all winning team.

Sum\ of\ the\ times = leg\ 1 + leg\ 2 + leg\ 3 + leg\ 4

Substitute running times for all legs.

S = 32\ min\ 56\ sec+ 42\ min\ 28\ sec + 34\ min\ 34\ sec + 39\ min\ 2\ sec

Now, we write the minutes and seconds separately.

S = (32+42+34+39)min+(56+28+34+2)sec

S = (147)min+(120)sec

120\ sec =\frac{120}{60} = 2\ min

S = (147)min+(2)min

S = 149\ min

Therefore, Total time taken by all four legs S = 149\ min  or S = 2\ hr\ 29\ min.

8 0
3 years ago
Ashley jogged 3.4 miles east, then 5.7 miles south. How far is Ashley from her starting point?
viva [34]

Answer:

<em>6.6 miles</em>

Step-by-step explanation:

She jogged along the legs of a right triangle. Use the Pythagorean theorem to find the length of the hypotenuse.

d = \sqrt{3.4^2 + 5.7^2} = \sqrt{44.05} = 6.6

7 0
3 years ago
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