Write each sum as a product of the GCF of two numbers 75 and 90

Answers

Answer 1

Answer: 75: 1, 3, 5, 15, 25, 75
90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

GCF(75, 90) = 1, 3, 5, 15

1 × 3 × 5 × 15
3 × 75
225

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Which of the following is an arithmetic sequence?-2, 4, -6, 8, ...
-8, -6, -4, -2, ...
2, 4, 8, 16, ...

Answers

Hello,
Answer B

$a_(0) = -8\n a_(n+1) = a_(n) +2$

-20t – 12 < -17t -9<-20t + 6

Answers

Answer:

Step-by-step explanation:

A nutritionist planning a diet for a runner wants him to consume 3,800 Calories and 650 grams of food daily. Calories from carbohydrates and fat will be 60% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of fat will the diet include?

Answers

Answer:

240 grams of fat.

Step-by-step explanation:

let

c = grams of carbohydrates

p =grams of proteins

f = grams of fat.

Then from the information given:

$4c+4p+9f=3800\:calories.$

And since 60% of the calories should come from carbohydrates and fats (which is 2280 calories)

$4c+9f =2280\:calories$

And

$c+p+f=650g.$

Thus we have three equations:

(1). $4c+4p+9f=3800\:calories.$

(2). $4c+9f =2280\:calories$

(3). $c+p+f=650g.$

We put equation (2) into equation (1) and solve for $p$ :

$2280+4p=3800$

$\therefore \boxed{p =380\:grams}$

Now we put this value of $p$ into equation (3) and get:

$c+f=270\:grams.$

Now from this equation we solve for c and get:

$c=270-f.$

And put this value of $c$ into equation (2) and solve for $f$ :

$4(270-f)+9f=2280.\n\n\therefore \boxed{f= 240 grams}$

Thus the diet will include 240 grams of fat.

Answer: It's actually 210 g

(Excuse my answer, I made a math error)

What is the product of 4 2/3 and 11 1/4? A. 8 3/7 B. 52 1/2 C. 44 2/12 D. 56/135

Answers

we know that

$4(2)/(3) =(4*3+2) /3\n \n =(14)/(3)$

$11(1)/(4) =(11*4+1) /4\n \n =(45)/(4)$

$4(2)/(3) *11(1)/(4)$

is equal to

$((14)/(3) )*((45)/(4) )=(630)/(12) \n\n = 52.5\n \n =52(1)/(2)$

therefore

the answer is

$52(1)/(2)$

It is to be noted that the product of 4 2/3 and 11 1/4 is 52 1/2. The correct answer is B.

Why is this so?

To find the product of 4 2/3 and 11 1/4, we can multiply the whole numbers and fractions separately, and then add the results.

4 2/3 = (4 * 3) + 2 = 14/3

11 1/4 = (11 * 4) + 1 = 45/4

Now, we multiply the fractions -

(14/3) * (45/4) = (14 * 45) / (3 * 4) = 630/12 = 52 1/2

So, it is correct to state that the product of 4 2/3 and 11 1/4 is 52 1/2. The correct answer is B.

Learn more about product at:

brainly.com/question/1712056

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The value in cents of 4 quarters and x dimes is

Answers

To add numbers, their units should be the same. We need first to convert the quarters and dimes into cents.
4 quarters is equal to 100 cents, while a dime is equal to 10 cents.
In formula, the answer would be 100+10x. ( x refers to the number of dimes)

Adding 3 to which digit in the number 736124 will increase the value of the number by 30,000?

Answers

Answer:

Step-by-step explanation:

736,124

It is in the 10 thousandths place

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[-4.5 + 12] = what is the anserw