Answer:
Option A
Step-by-step explanation:
If the length is twice as long as the width (14 ft), that makes it 28 ft. (14 x 2=28)
14 ft x 28 ft = 392 square feet
Therefore, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Mrs. King is buying a solar cover for her rectangular swimming pool. The cover will float on the surface of the pool and has the same dimensions as the pool.
The pool is twice as long as it is wide. Its width is 14 feet.
If the length is twice as long as the width [tex]14ft[/tex], that makes it [tex]28 ft[/tex].
Then the [tex](14 (2)=28)[/tex].
So,
[tex]14[/tex] ft x [tex]28[/tex] ft = [tex]392[/tex] square feet
Hence, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.
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Calculate x if the mean of 30, x, 12, 40, and 10 is equal to x.
Answer:
23
Step-by-step explanation:
Let the mean also is x
Mean = Sum of all observations / Total no of observations
x = 30 + 12 + 40 + 10 + x / 5
5x = 92 + x
4x = 92
x = 23
Therefore 23 is the mean and also one of the numbers.
The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
Mean = sum of data / Number of data
It is known that,
Mean = sum of data / Number of data
x = (30 + x + 12 + 40 + 10)/5
5x = x + 92
4x = 92
x = 23
Hence "The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23".
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Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, while a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi=1.6 km.
Answer:
The car
Step-by-step explanation:
Train:1mi = 1.6 km
95km = 95/1.6 = 59.375 km
95km/h = 59.375mi//h
Car65mi/h
Comparative:
65 > 59.375
then:
the car is more faster
Answer:
The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65
Step-by-step explanation:
Nick uses 1/4 cup of vinegar for every 1 cup of olive oil when making salad dressing.
Using this recipe, how much vinegar would he need to make salad dressing with 12 cups of olive oil?
Answer:
3 cups of vinegar
Step-by-step explanation:
∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup
∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups
= 3 cups
Therefore, Nick will need 3 cups of vinegar to make salad dressing.
Please help will name brainliest:
Make y the subject of the formula x=a-2by²
Answer:
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Step-by-step explanation:
Given
x = a - 2by² ( add 2by² to both sides )
x + 2by² = a ( subtract x from both sides )
2by² = a - x ( divide both sides by 2b )
y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Answer:
[tex]y = a - x \di2b[/tex]
Step-by-step explanation:
[tex]2b {y }^{2} = a - x[/tex]
[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]
[tex] {y}^{2} = a - x \div 2b[/tex]
[tex]y = \sqrt{a - x \div 2b} [/tex]
If Zöe orders a book from Store Y, how much tax will she pay? Comparison of Online Bookstores Store X Store Y Cost of book $17.00 $18.00 Tax rate 6% 8% Shipping 10% of cost before tax FREE $1.44 $2.25 $12.25 $14.40
Answer:
A
Step-by-step explanation:
just did the quiz
Answer: The answer is A on the test I got 100% on the question.
Step-by-step explanation: ed 2020
NEED HELP WITH THIS!
Answer: See below
Step-by-step explanation:
a.
To solve for h, we want to use algebraic properties to isolate h.
[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex] [multiply both sides by 2]
[tex]2A=h(b_1 +b_2)[/tex] [divide both sides by b₁+b₂]
[tex]\frac{2A}{b_1+b_2} =h[/tex]
[tex]h=\frac{2A}{b_1+b_2}[/tex]
---------------------------------------------------------------------------------------------
b.
To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.
Answer:
h=2A/(b1+b2)
and
b2=2A/h-b1.
Solve the equation and check.
7x-5= 3 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The solution is
(Simplify your answer.)
OB. The solution is all real numbers
OC. There is no solution
Answer: x = 2
OA. The solution is
(Simplify your answer.)
Step-by-step explanation:
if the selling price of 16 water bottles is equal to the cost price of 17 water bottles find the gain percent earned by the dealer
Answer:
let cp of 17 water bottle is x
cp of 1 water bottle = x/17
from the question
sp of 16 water bottles = x
sp of 1 water bottle = x/16
profit = sp -cp
= x/16 - x/17
= x/272
profit % = profit /cp * 100%
= (x/272)/ (x/17) * 100%
= 6.25%
Simplify the following expression. - (5a - 9b)
Answer:
-5a + 9b
Step-by-step explanation:
- (5a - 9b)
Distribute the minus sign
-5a + 9b
plzzzzzzzz help this is math
Answer:
5
Step-by-step explanation:
Simplify the equation:
2m -10 = -3m +15
Add 3m
5m -10 = 15
Add 10
5m = 25
Divide by 5
m = 5
1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds
Answer:
[See Below]
Step-by-step explanation:
✦ Given that [tex]1=8\frac{1}{3}[/tex] all you have to do is multiply:
[tex]8\frac{1}{3}*30=250[/tex]So [tex]x=250[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.
Answer:
No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87
The amount in credit card is enough to pay 12 months gym charge.
Given that, the charge for one month is $16.99.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Number of months = 12
Let the total charge for 12 months be x.
Now, x = 16.99×12
= $203.88
Therefore, the amount in credit card is enough to pay 12 months gym charge.
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I Need All Three , please show work !
Answer:
1) d=25 2) d=2[tex]\sqrt{2}[/tex] 3) d=[tex]13\sqrt{2}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(-2-1)^2+(-2-2)^2}\\ d=\sqrt{(-3)^2+(-4)^2} \\d=\sqrt{(-9)+(-16)}\\d=\sqrt{-25} \\d=5[/tex]
[tex]d=\sqrt{(5-3)^2+(-4-(-6))^2}\\ d=\sqrt{(2)^2+(2)^2} \\d=\sqrt{(4)+(4)}\\d=\sqrt{8} \\d=2\sqrt{2}[/tex]
[tex]d=\sqrt{(8-(-9))^2+(-7-0)^2}\\ d=\sqrt{(17)^2+(-7)^2} \\d=\sqrt{(289)+(49)}\\d=\sqrt{338} \\d=13\sqrt{2}[/tex]
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(7n+0.9)
Answer:
-7n - .9
Step-by-step explanation:
By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.
Find the value of the expression: (3 · 100)^4
Answer:
Using trigonometric identities.
8,100,000,000
Step-by-step explanation:
Answer:
8,100,000,000
Step-by-step explanation:
Following the order of operations, expressions in parentheses must be evaluated before exponents, thus:
[tex](3 * 100)^4 \\= (300)^4 &\\&= 300*300*300*300 \\&= 8,100,000,000\ or \ 8.1 * 10^9[/tex]
The midpoint of AB is M(1, -1). If the coordinates of A are (7,-4), what are the
coordinates of B?
Answer:
work is attached and shown
-6(9-9v) what is the answer
Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)
Given :
An expression sin(140°)cos(20°) – cos(140°)sin(20°) .
To Find :
The value of given expression .
Solution :
We know ,
sin(A - B) = sin A cos B - cos A sin B
By comparing with above formula , we get :
A = 140° and B = 20° .
So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .
Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]
Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .
Hence , this is the required solution .
Alan’s online test has 10 true-false questions and 5 multiple-choice questions. Each multiple-choice question has 4 different answer choices. How many different choices for answering the 15 questions are possible?
Answer:
40 possible answers
Step-by-step explanation:
20 answers from the 10 true or false questions and 20 answers from the 5 multiple choice questions
What is the ratio unknown amount (x) invested in company A to the know amount ($24) invested in company B? Write the answer as a fraction
Answer:
X/24
Step-by-step explanation:
he ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B is X/24
What is the constant term in the polynomial expression, and what does it represent?
A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel miles in 9 hours. (5 points) Blank 1:
Answer:
567 miles
Step-by-step explanation:
Total distance travelled till now = 315 miles
Total time taken to cover the above distance = 5 hours.
Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]
Thus, it means in each hour it covers the distance of 63 miles.
Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:
63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.
Answer:
567 miles
Step-by-step explanation:
-8 and 8 are ___; they are both 8 away from zero.
Two numbers that are the same distance from zero are called opposites.
-8 and 8 are Opposites.
If the sum of 3 and y is the sum of 2 and 2
Answer:y=1
Step-by-step explanation:
Answer:
y=4/3
Step-by-step explanation:
3+y=2+2
3y=4
y=4 divided by 3
y=4/3
Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22. Solve for x
Answer:
x = 35Step-by-step explanation:
If points A, B, and C are collinear and point B is the midpoint of AC then
AB = BC
12x - 398 = 22
+ 398 + 398
12x = 420
÷12 ÷12
x = 35
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180º, where would point A' lie? (1, -1) (1, 1) (-4, -1) (-4, 1)
Answer:
Point A reamains unchanged.
Step-by-step explanation:
Let
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4, 1)
REFLECTED OVER Y-AXIS:
When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes
A(-1, -1)
B(-1, 1)
C(4, -1)
D (4, 1)
REFLECTED OVER X-AXIS:
When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes
A(-1, 1)
B(-1, -1)
C(4, 1)
D (4,-1)
When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4,1)
we can see that after the opertion of all three processes i.e reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged
solve the equation −12=y−11
Step-by-step explanation:
this is your answer..........
Jenna bought 5 reams of paper at the store for a total of $21. The tax on her purchase was $1. Solve 5x + 1 = 21 to determine the price for each ream of paper.
Answer:
$4
Step-by-step explanation:
From the question we have it that jenna bought the 5 reams of paper at a price of 21
The tax on this was $1
The total cost of the paper minus tax = $20
Cost of 1 team = total cost of paper / quantity
= 20/5
From the equation
5x +1 = 21
5x = 21 -1
5x = 20
X = 20/5
X = $4
Therefore we have The cost of a team of paper to be equal to $4
x-7/4 =-2 I need helpp
Answer:
x = -1
Step-by-step explanation:
x-7/4=-2
x-7=-8
x=-1
Find X .
Please helpppp!! D:
Answer:
try 6 .75. I'm not to sure but I tried