Corey and his two friends, Alex and Carl, have a combined weight of 405 pounds. Corey weighs 127 pounds. Alex weighs at least 130 pounds, but no more than 145 pounds. Which inequality represents Carl's weight (x)?

Answers

Answer 1

Answer: 133 ≤ x ≤ 148

We first take Corey's weight off of the total:
405-127 = 278

The other two boys together weigh 278.

We know that Alex weighs no more than 145 and no less than 130. Taking these two numbers off of the 278 will give us the constraints for Carl's weight:
278-145 = 133
278-130 = 148

This means that 133 ≤ x ≤ 148

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Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63. Show all your work.

Answers

Answer:

So the triangle ABC is an isosceles triangle

Step-by-step explanation:

By definition the perimeter of a triangle is equal to the sum of the lengths of its sides.

In this case we know that the perimeter is 63

The lengths of its sides depend on x.

$AB = 6x\nAC = 4x + 6\nBC = 8x + 3$

So:

$6x + 4x + 6 + 8x + 3 = 63$

Now we solve for the variable x.

$6x + 4x + 6 + 8x + 3 = 63$

$18x + 9 = 63$

$18x = 54$

$x=(54)/(18)\n\nx=3$

Therefore:

$AB = 6(3)=18\nAC = 4(3)+6=18\nBC = 8(3) + 3=27$

The triangle has two sides of equal length. The triangles that have two equal sides are the isosceles triangles.

So the triangle ABC is an isosceles triangle

Find the quotient. Write your answer in simplest form.

1/3 ÷ 6= 1/18?

Answers

If you would like to solve 1/3 / 6, you can do this using the following steps:

1/3 / 6 = 1/3 / 6/1 = 1/3 * 1/6 = 1/18

The correct result would be 1/18.

Answer:

1/18

Step-by-step explanation:

Marisa can buy 3 oranges for 1.35 dollars ,four oranges for $1.80 or five oranges for $2.25 per second by 10 oranges for a price that fits this pattern or a bag of 10 oranges for four dollars and 25 Cents Which Way cost less for 10 oranges explain

Answers

3 oranges= $1.35, so one orange cost $0.45
4 oranges= $1.80, one orange cost $0.45
5 oranges= $2.25, one orange cost $0.45
If one orange cost $0.45, then ten cost $4.50 ($0.45*10)

If you were to buy ten oranges are $4.25, this would make each orange $0.425 ($0.43 rounded).

This means that if you were to buy ten oranges, it would be cheaper to buy ten for $4.25, instead of buying two lots of 5 for $2.25 each.

Hope this helps :)

Answer:

10 for $4.25 has a better value than 2 bunches of 5 for $2.25 each.

Step-by-step explanation:

3 oranges = $1.35

$(1)/(3) :(y)/(1.35)$

y × 3 = 1 × 1.35

3y = 1.35

3y ÷ 3 = 1.35 ÷ 3

y = $0.45

4 oranges = $1.80

$(1)/(4): (y)/(1.8)$

y × 4 = 1 × 1.8

4y = 1.8

4y ÷ 4 = 1.8 ÷ 4

y = $0.45

5 oranges = $2.25

$(1)/(5) :(y)/(2.25)$

y × 5 = 1 × 2.25

5y = 2.25

5y ÷ 5 = 2.25 ÷ 5

y = $0.45

$(1)/(10) :(0.45)/(y)$

y × 1 = 0.45 × 10

y = $4.50

$(1)/(10) :(y)/(4.25)$

y × 10 = 1 × 4.25

10y = 4.25

10y ÷ 10 = 4.25 ÷ 10

y = 0.425

$0.425 ≈ $0.43

If y is the principal square root of 5 what must be true?

Answers

Since every square root has a positive and a negative solution, for example:

$√(9)$ = -3 or +3

The principal square root defines only the positive solution (between the two);

Therefore: if y is the principal square root of 5, then it must be the positive square root of 5, not the negative square root of 5.

(please pleaseee help. I screenshot the question and choices )

Answers

the answer is yes, 1:1,4

What is the surface area of a sphere with a radius of 14 units?

Answers

Answer:

SA =784 pi units ^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

The radius is 14

SA = 4 pi (14)^2

SA =784 pi units ^2

Answer:

Surface area= 784π units²

Step-by-step explanation:

Surface area= 4×π×r²

Surface area= 4×π×(16)²

Surface area= 4×(16)²×π

Surface area= 784π units ²

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