Answer:
[tex]Total = \$7800[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$32.50[/tex] per square yard
[tex]Length = 432.0ft[/tex]
[tex]Width = 5.0ft[/tex]
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
[tex]Area = Length * Width[/tex]
[tex]Area = 432.0ft * 5.0ft[/tex]
[tex]Area = 2160ft^2[/tex]
Convert to square yard
[tex]Area = \frac{2160yd^2}{9}[/tex]
[tex]Area = 240yd^2[/tex]
The cost is then calculated as:
[tex]Total= Area * Unit\ Cost[/tex]
[tex]Total = 240 * \$32.50[/tex]
[tex]Total = \$7800[/tex]
Tanisha jogs about 8 miles in 2 hours. How long will it take her to jog 12 miles?
Answer:
its will take 3 hours
A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
What is the area of the resulting triangle?
Enter your answer in the box.
Answer:
900
Step-by-step explanation:
The area of the final triangle would be 900 cm².
What is scale factor?Scale factor is used to compare the final and initial dimensions of the figure. Mathematically, we can write scale factor -
{K} = {final dimensions/initial dimensions}
Given is that a triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
Assume the initial dimensions of the triangle be {x} and {y} respectively. So, we can write the initial area as -
{1/2}{x}{y} = 36
{x}{y} = 72
After the scaling, we can write the final area as -
A = {1/2}{5x}{5y}
A = {25/2}{x}{y}
A = 12.5 x 72
A = 900 cm²
Therefore, the area of the final triangle would be 900 cm².
To solve more questions on scale factor, visit the link below-
https://brainly.com/question/30948953
#SPJ2
Question 11 (1 point)
Evaluate the function.
Given f(x) = x2 - 5x + 5, find f(3).
Answer:
f(3) =-1
Step-by-step explanation:
f(x) = x^2 - 5x + 5
Let x=3
f(3) = 3^2 -5(3) +5
= 9 -15+5
= -6+5
=-1
Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6
Answer:
2) x = -3
Step-by-step explanation:
Collect like terms, so gather all your x's on one side, and numbers in the other. Add -6x and +15 to both sides, so you get -2x - 6x = +9 + 15, so we have -8x = 24, divide both sides by -8 you get x = -3.
A group of friends wants to go to the amusement park. They have no more than $275
to spend on parking and admission. Parking is $17.50, and tickets cost $25 per
person, including tax. Write and solve an inequality which can be used to determine
2, the number of people who can go to the amusement park.
Answer:
x ≤ 10.3 people
Approximately x ≤ 10 people
Step-by-step explanation:
Parking = $17.50
Tickets = $25 per person
Let
x = number of people who can go to the amusement park.
17.50 + 25x ≤ 275
25x ≤ 275 - 17.50
25x ≤ 257.50
x ≤ 257.50/25
x ≤ 10.3
Approximately 10 people can to the amusement park
6xy^3 * 4x^2y^2 answer
Which expression results from using the Distributive Property?
16. 3(6 +r)
A. 6+r
B. 6 + 3r
C. 181
D. 18 + 3r
A dog is tied with a rope to a stake in the ground. The length of the rope is 10 yards.
What is the area, in square yards, in which the dog can roam?
1) 1001
2) 100x yd.2
3) 100 yd.2
4) 20ryd.
Answer:
the area in square yards is 100πyd^2
Step-by-step explanation:
The computation of the area is shown below:
Area = πr^2
= π10^2
= 100πyd^2
Hence, the area in square yards is 100πyd^2
We simply applied the above formula to determine the area
The average score in an examination taken by 52 students of a class is 85. If the scores of the best 5 performers are not considered, the average score of the remaining students falls by 2. If, none of the first five highest scorers is not below 80 and if each of the 5 top scorers had distinct integral scores, find the maximum possible score of the topper.
Answer:
177
Step-by-step explanation:
If the top 5 performers are not considered, the average drops by 2.
Thus,average without top 5 performers = 85 - 2 = 83
Total scored with 5 table toppers = 52 × 85 = 4420
Total scored without 5 table toppers = 47 × 83 = 3901
Total scores of top 5 table toppers = 4420 - 3901 = 519
We are told that each of the 5 top scorers had distinct integral scores.
Also, all of them will score greater than 83.
Thus,possible maximum score of table topper = 519 - (84 + 85 + 86 + 87) = 177
The area of a rectangle is 36 square inches, and its perimeter is 26 inches. What are the length and width of the rectangle?
Answer:
9 and 4
Step-by-step explanation:
PLEASE HELP!!! DUE SOON!!!
Answer: x=0
Step-by-step explanation: 0=-x^7
-x^7=0
x^7=0
so answer is : 0
find the equation of the line passing through (2,3) and (1,5)
Answer:
y =-2x+7
Step-by-step explanation:
Hello : let A(2,3) B(1,5)
the slope is : (YB - YA)/(XB -XA)
(5-3)/(1-2) = 2/-1 =-2
an equation is : y=ax+b a is a slope
y = -2x +b
the line through point (2,3) : 3 = (-2)(2)+b
b = 7
the equation is : y =-2x+7
A=6
B=8
The measure of c is
Answer:
10
Step-by-step explanation:
Answer:
the answer is 10
Step-by-step explanation:
a^2 + b^2 = c^2
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
Square root of 100 is 10 so the answer is 10
please mark brainliest for answer and work...
THANKS
Can someone tell me how to do this task please?
A rectangle has a length 3 times the width. What is the perimeter in terms of x?
Answer:
Perimeter is equal to all four sides added together.
Length = 3W; L=3W
So
P = 2(W) + 2(L) substitute the equation for length above you get
P = 2(W) + 2(3W) and combine
P = 2W + 6W = 8W; put in what the perimeter is and solve for W
66 = 8W, so W = 8.25
W = 8.25, L = 24.75
What is the next term in the pattern 0.4,0.8,1.2,1.6?
Answer:
2.0
Step-by-step explanation:
increase by 0.4 in each term.
The number of hospitals in a certain country has been declining for many years. In 2014, there were 5,727 hospitals, but, in 2017, there were only 5,571. Assuming this trend is linear, write an equation for the number of hospitals H in the this country t years since 2000.
H=
Answer:
H = -52t + 6455
Step-by-step explanation:
2014 is 14 years since 2000. That gives you the point (14, 5727).
2017 is 17 years since 2000. That gives you the point (17, 5571).
Since we have two points in the line, we can find the equation of the line.
y = mx + b
m = slope = (difference in y)/(difference in x)
m = (5571 - 5727)/(17 - 14) = -156/3 = -52
y = -52x + b
Now we use one of the points for x and y, and we solve for b.
5727 = -52(14) + b
b = 6455
The equation is
y = -52x + 6455
Using H and t, we have
H = -52t + 6455
The relationship between the number of hospitals and the years, is a linear function.
The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]
Let
[tex]t \to[/tex] years since 2000
[tex]H \to[/tex] number of hospitals since 2000
So, we have:
[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014
[tex](t_2,H_2) = (17,5571)[/tex]
Calculate the slope (m)
[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]
This gives:
[tex]m = \frac{5571 - 5727}{17-14}[/tex]
[tex]m = \frac{-156}{3}[/tex]
[tex]m = -52[/tex]
The linear equation is then calculated using:
[tex]H = m(t - t_1) + H_1[/tex]
So, we have:
[tex]H = -52(t - 14) + 5727[/tex]
[tex]H = -52t + 728 + 5727[/tex]
[tex]H = -52t + 6455[/tex]
Hence, the equation H is: [tex]H = -52t + 6455[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
Who dunnit in math there is 10 problems
Answer:
make it make sense
Step-by-step explanation:
question is down below thanks
Answer:
E
Step-by-step explanation:
A linear equation is in the form of: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
m is the slope and it's given, which is -6
b is the y-intercept and it's given, which is 9
When we plug in to the form we get:
[tex]y=-6x+9[/tex]
8m/3 if m = 12
Evaluate
Beach balls are very popular at
Sam's Swim Shop. He decides to
begin charging 40% more. If he
originally charged $5.50, by how
much will he increase the price?
Answer:
7.70
Step-by-step explanation:
40% of 5.50 is 2.20
2.20 + 5.50 = 7.70
Who wants a foot cream pop tart
Answer:
ThAt sOunDs dEliCiOus
Step-by-step explanation:
Psych it sounds awful lol
me i want a foot cream pop tart
What is the standard form of the equation 9(g-5h)
Briana used two congruent parallelograms and a square to create the figure shown. What is the areaa of the figure Briana created in square feet?
A. 27ft²
B.24 3/4 ft²
C.67 1/2 ft²
D.33 3/4 ft²
Answer: the answer is D
Step-by-step explanation: I got it right
how do I solve this puzzle?
Answer: use division
Step-by-step explanation:
PLEASE HELP ASAP!!!!
Tyra made 8 fewer jackets than zack they made 48 jackets altogether how many jackets did zac make
Answer:
Zac Made 28 Jacket
okay have a nice day.
Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2.
Answer:
what do you mean
Step-by-step explanation:
Answer:
x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 = 9x+18
so there are 9 twos or 18 and 9x. No value is provided for x so the answer is 18+9x.
Step-by-step explanation:
3. Paulo can jog 20 miles in 5 hours. At this rate, how many miles can Paulo jog in 4 hours? *
Answer:
16 miles
Step-by-step explanation:
20/5= 4 mph
4x4=16
If the simple interest on $2,000 for 3 years is $300 then what is the interest rate?
Answer:
100 dollars a year
Step-by-step explanation:
a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
Answer:
The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]
Step-by-step explanation:
Diagonal of a square:
The diagonal of a square is found applying the Pythagorean Theorem.
The diagonal of the square is the hypothenuse, while we have two sides.
Diagonal of 12m:
This means that [tex]d = 12[/tex], side s. So
[tex]s^2 + s^2 = 12^2[/tex]
[tex]2s^2 = 144[/tex]
[tex]s^2 = \frac{144}{2}[/tex]
[tex]s^2 = 72[/tex]
[tex]s = \sqrt{72}[/tex]
Factoring 72:
Factoring 72 into prime factors, we have that:
72|2
36|2
18|2
9|3
3|3
1
So
[tex]72 = 2^{3}*3^{2}[/tex]
So, in simplest radical form:
[tex]s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}[/tex]
Perimeter of the garden:
The perimeter of a square with side of s units is given by:
[tex]P = 4s[/tex]
In this question, since [tex]s = 6\sqrt{2}[/tex]
[tex]P = 4s = 4*6\sqrt{2} = 24\sqrt{2}[/tex]
The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]
