Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?
A. 64ft x 4ft
B . 15ft x 15ft
C. 16ft x 16ft
D. 32ft x 8ft
Answer:
16ft x 16ft
Step-by-step explanation:
Square shaped, so side lengths are all the same size, so 16ft by 16ft. 256 would also need to end in a 5 to be a product of 15 by 15 but would end in six for 16x16 (5*5 and 6*6 will show last digit of the number)
What are the roots of the equation?
5x^3 + 45x^2+ 70x = 0
A) -2, 0, 7
B) -7, -3, 0
C) -7, 0 , 2
D) 0, 2, 7
Answer:
D) 0, 2, 7
Step-by-step explanation:
Hope this helps
A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.
Considering the given conditions in the question, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
Volume of a material implies the maximum amount of substance that it can contain.
From the given question, it is expected that the pool would have the shape of a cuboid, thus its volume can be determined by:
volume of the pool = length x width x height
= base area x height
Thus, given that the volume of the pool is 2000 cubic feet, then;
2000 = base area x height
i. Let the dimensions of the square base be 10 feet, and its height 20 feet, so that;
volume = 10 x 10 x 20
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 200
= 800 square feet
The cost of tiling the sides of the pool = $80 x 800
= $ 6400.0
Area of the base of the pool = 10 x 10
= 100 square feet
The cost of tiling the base of the pool = $40 x 100
= $4000
Total cost = $6400 + $4000
= $10400
Total cost of constructing the pool with the assumed dimensions is $10400.
ii. Let the dimensions of the square base be 20 feet, and its height 5 feet, so that;
volume = 20 x 20 x 5
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 100
= 400 square feet
The cost of tiling the sides of the pool = $80 x 400
= $ 32000
Area of the base of the pool = 20 x 20
= 400 square feet
The cost of tiling the base of the pool = $40 x 400
= $16000
Total cost = $16000 + $32000
= $48000
Total cost of constructing the pool with the assumed dimensions is $48000.
Therefore, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
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Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?
Answer:
No because the angle of point C is NOT congruent to the angle of point A.
Step-by-step explanation:
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.
helppppppppppp i hv 5 mins
Answer: 342.5 miles
Step-by-step explanation:
Distance = Speed x Time
Speed(mph) Time(hr) Distance(miles)
55 x 3.5 = 192.5
60 x 2.4 = 150
Total Distance (miles) = 342.5 miles
Math 8 Question! :)
Four different positive integers have a mean (average) of 100. If the positive difference between the smallest and largest of these integers is as large as possible, determine the average of the other two integers.
Answer:
2.5
Step-by-step explanation:
"Four different positive integers have a mean (average) of 100"
The total of the 4 numbers is then 4* 100 = 400
"the positive difference between the smallest and largest of these integers is as large as possible"
to get the greatest difference the first 3 numbers must be
1, 2 and 3 which totals 6
the 4th number is then 400 - 6 = 394
the four numbers are 1, 2, 3 and 394
The greatest difference is between 1 and 394
"the average of the other two integers"
(2 + 3)/2 = 2.5
The average of the other two integers is 1.5.
What is the average of the two numbers?
An integer is an whole number. An example of an integer is 20.
If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5
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If I add 60 to 325 and then subtract 40, the answer I get will be equal to
Answer:
345
Step-by-step explanation:
On adding 60 to 325 and then subtracting 40 the answer will be 345.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given numbers 60, 325, and 40. The expression will be formed as below:-
E = 60 + 325 - 40
E = 385 - 40
E = 345
Therefore, on adding 60 to 325 and then subtracting 40 the answer will be 345.
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#SPJ2
Help please important if you help you get brain lay
[1] 1/2
- It will be 1/2 as large because of the scale factor
[2] 1/4
- 1/2 * 1/2 = 1/4
[3] (1/2)n
- For every scale factor (n), there will be a chance of 1/2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A chartered vacation will cost eva $1,250 plus $45 per day for food. If Eva wants to spend less than $1,700, how many days can she travel?
Answer:
She can travel for 10 days
Step-by-step explanation:
first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10
Hope this helps you out!
1 point
10.) Tampa is about 275 miles from Tallahassee. How far about would they
be on a map with a scale of 1 in. = 15 mi?
20 inches
20.25 inches
O
19.24 inches
18.33 inches
Answer:
18.33
Step-by-step explanation:
its easy divide 275 ÷ 15 = [18.33]333333333333 the only number you need is [18.33]333333333333
and boom that simple you get your answer
help me with this one guys......
Answer:
[tex]7^-^1[/tex]
Step-by-step explanation:
So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.
457x64-(163+208x45) + ( 2820÷20)-1802
Answer:
18064
Step-by-step explanation:
these equations are always in this order:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".
20 + 3xy - 4xy +y2 + 10 -y2
Answer:
−xy−y2+2y+30 is the answer simplified
The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean Mu and standard deviation Sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47. 5% 68% 95% 99. 7%.
How do i find the slope-intercept form for 6x=8y+10
Answer:
y = 3/4x - 5/4
Step-by-step explanation:
6x=8y+10
Well you must first get your equation set up into the form called "Slope intercept."
6x=8y+10
Add 8y on both of your sides because your y is suppose to be alone.
8y + 6x = 10
Subtract 6x on both sides since it is in fact the opposite of addition.
8y = 6x + 10
Now, you will divide by 8 on both sides. When doing this your y will be alone.
y= 6/8x + 10/8
Note: You can leave it like this but you want to probably simplify.
y = 3/4x + 5/2
or
y = 3/4x - 5/4
(Hope this helps can I pls have brainlist (crown)☺️)
Draw a square and its diagonals. Guess the measures of these angles.
Answer:
90 degrees on each angle.
Step-by-step explanation:
A square is symmetrical on all sides, so each side has to be a right angle. Each right angle adds up to 360 degrees, the total degrees of a quadrilateral.
If f(x) =x+1\x-1 and f(a) = 5 then f(2a) is equal to?
[tex]\sqrt{x}(-5-(-8))x^{2} +(-5-(-7))x^{2}[/tex]
[tex]\sqrt{x} (-5-(-8))x^{2} +(-5-(-7))x^{2} = 3.x^{2} \sqrt{x} +2x^{2} = x^{2} (3\sqrt{x} +1)[/tex]
ok done. Thank to me :>
im so confused can someone help me please
Answer:
1. false
2. false
3. false
4. true
Step-by-step explanation:
a quadritilateral always has 4 sides, but it dpesnt HAVE to be a square
a parrellelogram can be any shap as long as its parrelel
a rhombus is always a square, becuase if you turn it around... VIOLA! you get a square.
7 less than 6 times a number is equal to 9 more than 4 times a number. What is the number?
Answer:
Write an equation the represents the words.
6x - 7 = 4x + 9
To solve for x (the number), isolate it from the other variables.
Subtract 9 from both sides.
6x - 7 - 9 = 4x
Combine like terms.
6x - 16 = 4x
Subtract 6x from both sides.
-16 = 4x - 6x
Combine like terms.
-16 = -2x
Divide both sides by -2.
-16/-2 = x
x = 8
The number is 8.
Hope this helps! :)
Answer:
The number is 8.
Step-by-step explanation:
Hello there!
We're given an unknown number, let's call this number n
We know that 7 less than 6 times n is equal to 9 more than 4 times n
Let's break that statement down, starting with "7 less than 6 times n"
6 times n should be 6n, since 6 * n = 6n
"7 less" means subtraction.
So "7 less than 6n" should be 6n-7
Now with "9 more than 4 times n"
4 times n should be 4n, as 4 * n = 4n
"9 more" means addition
So "9 more than 4n" should be 4n+9
The statement says that 6n-7 is equal to 4n + 9, and so when we write it as an equation:
6n - 7 = 4n + 9
Now we can solve the equation
Subtract 4n from both sides
2n - 7 = 9
Add 7 to both sides
2n = 16
Divide both sides by n
n=8
The number is 8
PS. we can substitute 8 back into the equation as n to see if it works:
6(8)-7=4(8)+9
Multiply
48-7=32+9
41= 32 + 9
41=41
It works :))
Hope this helps!
Brian invests £7500 into his bank account.
He receives 6% per year compound interest.
How many years will it take for Brian to have more than £10000?
Answer:
5 years
Step-by-step explanation:
Astore pays $927.40 for a water heater and marks the price up by 5%. What is the new price?
Answer:
$973.77
Step-by-step explanation:
$927.40 = 100%
New price = 100% + 5%
New price = 105% of 927.40
105% of 927.40 = 1.05(927.40)
1.05(927.40) = 973.77
-Chetan K
Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $68. The perm costs twice as much as her haircut and she needs $5 for lunch .
Answer:
42 dollars
Step-by-step explanation:
2h+h+5=68
3h+5=68
3h=63 divided by 3
21*2=$42
If you subtract ¾ by ¼,what is the difference?
- BRAINLIEST answerer
PLZ HELP!!!!!!!!!!!!!!
Answer:
183in^2
Step-by-step explanation:
Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.
15x26=390in
We now want to figure out the small rectangle on the bottom of the image.
The area of a triangle is A=hb/2
A=6x15/2=45
In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.
45x2=90
Finally, we can solve for the remaining triangle.
A=9x26/2=117
Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.
390-(90+117)=183in^2
Hope this helps :)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10
[tex]\huge \bf༆ Answer ༄[/tex]
The slope of the marked line is " Negative "
Lines that make obtuse Angle with positive x - axis have a Negative slope.
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
what is (−
2
1
)
5
Step-by-step explanation:
i don't understand your question
the ratio of men to women at Wal-Mart was 3 to 5. If there were 350 women, How many men were in the store?
Answer:550
Step-by-step explanation:
Answer:
550
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What is the value of x in the triangle?
[tex]cosec18°= \frac{perpendicular}{base} \\ cosec18°= \frac{25}{x} \\ \\ \ \: since: cosec18°=0.9511 \\ \\ 0.9511 = \frac{25}{x} \\ x = \frac{25}{0.9} = 26[/tex]
y=6x-4 y=4x+2 substitution pls help plsplslsl
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: ( 3 , 14 )
Equation Form: x = 3 , y = 14
Step-by-step explanation: