Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh

Answers

Answer 1

Answer: The answer is:
Justin weighs 165 pounds.
Greg weighs 180 pounds.

If:
j - Justin's weight
g - Greg's weight

Then the system of equations is:
j + 15 = g ⇒ g = j + 15
1/2g = j - 75 ⇒ j = 1/2g + 75

We can replace j in the first equation:
g = 1/2g + 75 + 15
g - 1/2g = 90
1/2g = 90
⇒ g = 90 ÷ 1/2 = 180

Thus, Greg weighs 180 pounds.

Now, using the first equation, we will calculate Justin's weight:
j + 15 = g ⇒ j = g - 15
g = 180

Thus
j = g - 15 = 180 - 15 = 165

Therefore, Justin weighs 165 pounds.

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Find the value of the expression below for r = 4 and t = 2
t^3 - r + 20 divided by r

Answers

Answer:

The value of the expression $t^3-r+(20)/(r)$ is, 9

Step-by-step explanation:

Given: The expression $t^3-r+(20)/(r)$

Substitute the value of r=4 and t=2 in above expression to find its value;

$t^3-r+(20)/(r) = (2)^3-4+(20)/(4)$

Cube: the cube of a number t is its third power, the result of the number multiplied by itself twice. i.e, $t^3 = t * t * t$

Now, solve further we have;

$(2)^3-4+(20)/(4) = 8 -4+(20)/(4)$

Further, divide the number 20 by 4 we get the result 5 ;

⇒ 8-4+5 = 4+5 =9

Therefore, the value of the expression $t^3-r+(20)/(r)$ is, 9.

PLEASE HELP I WILL MARK BRAINLIEST SHOW WOrK HOW YOU GOT IT

Answers

Answer:

7 . 8.9

8 . 19.5

9 . 9.9

10 .12.6

Step-by-step explanation:

7.x=11tan39

8.x=28cos46

9.x=8tan51

10.x=31sin24

side opposite of mentioned angle is opposite

longest side in triangle is hypotenuse

the side subtended by the angle is the adjacent

Simplify the expression shown below.
(6a⁴bc)(7ab³c)=

Answers

$(6a^4bc)(7ab^3c)= 6\cdot 7\cdot a^4\cdot a\cdot b \cdot b^3\cdot c\cdot c =\n \n =42\cdot a^(4+1)\cdot b^(1+3)\cdot c^(1+1)=42a^5b^4c^2$

Penn stacks all of his snowballs in a square pyramid. The number of snowballs, P(n), in n layers of the square pyramid is given by P(n) = P(n-1) + n^2 Which could not be the number of snowballs Penn has? 5, 30, 25, 14

Answers

Naturally, a pyramid of zero layers doesn't need any snowballs, so P(0) = 0. Then using the given recurrence, we find

P(1) = 1

P(2) = 1 + 4 = 5

P(3) = 1 + 4 + 9 = 14

P(4) = 1 + 4 + 9 + 16 = 30

and so on; luckily, three of these are listed among the answer choices, which leaves 25 as an insufficient number of snowballs to make such a pyramid.

More generally, we would end up with

$P(n) = 1^2 + 2^2 + 3^2 + \cdots + n^2 = \displaystyle \sum_(k=1)^n k^2 = \frac{n(n+1)(2n+1)}6$

Then given some number of snowballs S, you could try to solve for n such that

S = n (n + 1) (2n + 1)/6

and any S that makes n a non-integer would be the answer.

15 sweets are shared equally between 5 boxes.a) How many sweets will there be in each box?
b) Ali takes all of the striped pink boxes. How many sweets does Ali get?

Answers

Step-by-step explanation:

a) 15 sweets / 5 boxes = 3 sweets per box

b) need more information

B. Kezia bought 128 tomatoes from a farmer. When she got home, she found that 1/8 of the tomatoes are rotten. Find the number of tomatoes that were i. rotten ii. not rotten