How old am I if 400 reduced by 2 times my age is 244? (answer with steps)

Answers

Answer 1

Answer: 400 reduced (minus) 2 times my age (2x) is 244 (= 244).

400 - 2x = 244 Subtract 400 from both sides
-2x = -156 Divide both sides by -2
x = 78

I am 78 years old.

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Solve the equation for t

t-(7-3t) +5=2t+10

Answers

$t-(7-3t)+5=2t+10\ \ \ \ \ | omit\ the\ bracket\n\nt-7+3t+5=2t+10\n\n4t-2=2t+10\ \ \ | subtract\ 2t\n\n2t-2=10\ \ \ | add\ 2\n\n2t=12\ \ \ \ | divide\ by\ 2\n\nt=6$

t-(7-3t)+5=2t+10
combine like terms for each side first
(7-4t)-5=2t+10
than combine like terms to one side to make the variable positive
(7)-5=6t+10
next combine like terms to the other side( just the number not the variable
7-5-10=6t
now you simplify again
-8=6t
than you divide both sides by 6 to get t(the variable) by it self
-1 $(1)/(3)$ =t

Factor completely 14bx2 − 7x3 − 4b + 2x.(2b + x)(7x2 + 2)

(2b − x)(7x2 − 2)

(2b + x)(7x2 − 2)

Prime

Answers

Answer:

$(2b-x)(7x^2-2)$

Step-by-step explanation:

We have to factor the expression $14bx^2-7x^3-4b+2x$

We apply the method of grouping to factor it.

Make groups

$(14bx^2-7x^3)+(-4b+2x)$

Take GCF

$7x^2(2b-x)-2(2b+x)$

Finally, factored out the common factor

$(2b-x)(7x^2-2)$

The factored form of the given expression is

$(2b-x)(7x^2-2)$

hello,

14bx²-7x^3-4b+2x= -7x^3+14bx²+2x-4b
=-7x²(x-2)+2(x-2b)
=(x-2b)(-7x²+2)
=(2b-x)(7x²-2)

answer 2

A 35 -inch long stick is cut into two pieces. If the ratio of their lengths is 2:3, how long is each piece?

Answers

Answer:

14 inches and 21 inches

Step-by-step explanation:

sum the parts of the ratio , 2 + 3 = 5 parts

divide length of stick by 5 to find the value of one part of the ratio

35 inches ÷ 5 = 7 inches ← value of 1 part of the ratio , then

2 parts = 2 × 7 = 14

3 parts = 3 × 7 = 21

the 2 pieces are 14 inches and 21 inches long

Answer:

Step-by-step explanation:

Answer:

14 inches and 21 inches

Step-by-step explanation:

sum the parts of the ratio , 2 + 3 = 5 parts

divide length of stick by 5 to find the value of one part of the ratio

35 inches ÷ 5 = 7 inches ← value of 1 part of the ratio , then

2 parts = 2 × 7 = 14

3 parts = 3 × 7 = 21

the 2 pieces are 14 inches and 21 inches long

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Answers

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

The Correct answer is A I took the test

Step-by-step explanation:

Based on the graph, which statement is correct about the solution to the system of equations for lines K and J?(1, 1) is the solution to both lines K and J.
(−1, 0) is the solution to line K but not to line J.
(1, 1) is the solution to line K but not to line J.
(0, 4) is the solution to both lines K and J.

Answers

The answer is (1,1) since that is where J and K intersect.

Roxanne has $20 and she wants to buy some shirts. She picks one shirt that costs $10.99 and two shirts that cost $4.99 each. Which statement best describes if an exact total or an approximate total should be calculated? A. Roxanne must add the exact cost of the three shirts so she will know if she has enough money to buy the third shirt. B. Roxanne can round the prices of the shirts to the nearest dollar and then add to estimate if she has enough money.

Answers

your answer is B hope it right

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