a washer and a dryer cost 659$ combined. The washer costs 91$ less than the dryer, how much was the dryer?
Answers
W=D-91
---------------------------
(D-91)+D=659
D-91+D=659
2D=750
D=750/2=375
------------------------------
W+375=659
W=284
------------------------------
So the dryer had cost $375 and the washer had cost $284.
washer --> x
dryer --> y
x + y = 659$
y = x + 91$
x + x + 91$ = 659$
2x = 659$ - 91$
2x = 568$ |:2
x = 284$
y = x + 91$ = 284$ + 91$ = 375$
The dryer costs 375$ and washer costs 284$
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Solve for x (2x-2)+(x+5)
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- 5+ (-4) = ?Can you guys please help me
To clean a tank, 3/4 cup of disinfectant is needed for every 2 gallons of water. How many cups of disinfectant are needed for 20 gallons of water?A. 7 1/2B. 15C. 22 1/2 D. 30
(n - 5)(n - 4) = 0
(n - 5)(n + 4) = 0
(n + 5)(n - 4) = 0
(n + 5)(n + 4) = 0
Answers
Answer:
Factors are (n + 5)(n - 4) = 0.
Step-by-step explanation:
Given : The sum of the squares of 2 consecutive negative integers is 41. What are the numbers.
To find : Which of the following equations is the result of using the factoring method to solve the problem.
Solution : We have given statement
Let two consecutive number are : n and n +1 .
Square of two consecutive number are : n² and (n+1)².
According to question : sum of the squares of 2 consecutive negative integers is 41.
n² + (n+1)² = 41.
n² + n² + 1 +2n =41
2n² + 2n +1 =41
On subtracting 41 from both sides
2n² + 2n +1- 41 = 0
2n² + 2n - 40 = 0
On dividing by 2 to whole equation
n² + n - 20 = 0
On factoring
n² + 5n -4n - 20 = 0
Taking common n from first two terms and -4 from first two last terms
n (n +5) -4 (n +5) = 0
Grouping
(n -4) (n +5) = 0.
Therefore, Factors are (n + 5)(n - 4) = 0.
n^2 + (n+1)^2 = 41
n^2 + n^2 + 2n + 1 = 41
2n^2 + 2n -40 = 0
n^2 + n -20 = 0
(n + 5)(n- 4) = 0
Then the answer is the third option.
Answers
(a)
4x + 3y = 23
5x + 2y = 20
(b)
4x + 3y = 23 ⇒ -2(4x + 3y = 23) ⇒ -8x - 6y = -46
5x + 2y = 20 ⇒ 3(5x + 2y = 20) ⇒ 15x + 6y = 60
7x = 14
x = 2
5x + 2y = 20
5(2) + 2y = 20
10 + 2y = 20
2y = 10
y = 5
Answer: biscuit = $2, ice cream = $5
Answers
Answer: The correct option is (D)
Step-by-step explanation: We are given to find the following sum of the polynomials :
To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.
The sum of the polynomials in (i) is as follows :
Thus, the required sum of the polynomials is
Option (D) is CORRECT.
First, get rid of the parentheses and combine like terms
(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)
9x^2-12y^2-11x is your answer
Answers
The dimensions that give the maximum area is 5 cm by 5 cm.
Given:
The perimeter of this rectangle is 20 cm, and formula for perimeter is
P= 2(W+L)
P = 20 cm = 2W + 2L.
Then W + L = 10 cm,
or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized.
On substituting the values, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Therefore, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
Learn more:
Answer:
5 cm by 5 cm
Step-by-step explanation:
The perimeter of this rectangle is 20 cm, and the relevant formula is
P = 20 cm = 2W + 2L. Then W + L = 10 cm, or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized. Subbing (10 cm) - L for W, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Thus, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
Answers
If the maximum load on the elevator is 2,000 pounds,
and Craig weighs 160 pounds, that leaves
(2,000 - 160) = 1,840 pounds for paper.
If each box weighs 160 pounds, then how many boxes
can he carry without going over the 1,840-pound limit ?
(1,840 / 64) = 28.75 .
28 boxes weigh 1,792 pounds, and 29 boxes weigh 1,856 pounds.
28 boxes will leave him with 48 more pounds of capacity,
but 29 boxes would weigh too much.
He should take 28 boxes with him on each trip, and then,
on the last trip, he can use the extra 48 pounds allowed
to take his lunch up with him.
2000 - 160 = 1840
1840 ÷ 64 = 28.75
So, Craig can deliver about 28 boxes on each elevator trip.
Answers
Answer:$21.79
Step-by-step explanation:
If the original cost is 18.47 and you want to tip 18% tip the tip you would tip is 3.32 and if you add that to 18.47 you will get 21.79