Answer:
a.20
Step-by-step explanation:
20 is standing out from the rest of the numbers
You are tiling the floor of a 6-foot by 8-foot bathroom. The sink occupies a 3-foot by 2-foot area and the bathtub occupies a 5-foot by 3-foot area. You do not need to tile the area occupied by the sink or bathtub. How much of the floor, in square feet, do you need to tile?
Answer:
The floor, in square feet, you need to tile is [tex]27ft^{2}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
To solve this problem we need to calculate the areas of the sink and the bathtub and subtract it from the the area of the the bathroom, the result is the amount of space you need to tile
Step one
Area of sink
[tex]area= length * width\\ area= 3* 2 = 6 ft^{2}[/tex]
Area of bathtub
[tex]area= length * width \\area= 5*3\\area= 15ft^{2} \\[/tex]
Area of bathroom
[tex]area= length* width\\ area = 8* 6\\area=48ft^{2}[/tex]
Step two
To calculate the area we need to tile
let us subtract the areas of the bathtub and the sink from the bathroom we have
[tex]= 48-15-6\\=27ft^{2}[/tex]
If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses?
Answer:
$629.75
Step-by-step explanation:
2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
Complete question:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
A) segment a double prime b double prime = segment ab over 2
B) segment ab = segment a double prime b double prime over 2
C) segment ab over segment a double prime b double prime = one half
D) segment a double prime b double prime over segment ab = 2
Answer:
A) segment a double prime b double prime = segment ab over 2.
It can be rewritten as:
[tex] A"B" = \frac{AB}{2} [/tex]
Step-by-step explanation:
Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.
We know segment A"B" equals segment AB multiplied by the scale factor.
A"B" = AB * s.f.
Since we are given a scale factor of ½
Therefore,
[tex] A"B" = AB * \frac{1}{2} [/tex]
[tex] A"B" = \frac{AB}{2} [/tex]
The equation that explains the relationship between segment AB and segment A"B" is
[tex] A"B" = \frac{AB}{2} [/tex]
Option A is correct
True or false: the height is always twice the length of the base edge for any triangular pyramid
Answer:
FALSE
Step-by-step explanation:
The length of the base edge of a triangular pyramid may vary.
The height is not always twice the length of the base edge for any triangular pyramid, the dimensions are not fixed for any shape and can vary from one design to another.
more so, i may require a particular size or dimension of triangular based pyramid for my application that may not suit your application.
A system of linear equations in two variables can have _____ solutions.
Answer:
I would say " zero" to. Sorry if it's wrong
Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.
On a coordinate plane, triangle T R S has points (negative 2, negative 3), (2, negative 3), (0, negative 5). Triangle T prime R prime S prime has points (3.5, 0.8), (0.7, 3.8), (3.5, 3.8).
The figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation
Answer:
a 135° rotation.Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Answer:
a 135° rotation.
Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
3. You want to standardize a new recipe for Chicken Alfredo. The old recipe that you have been using yields 40 servings and you would like the new yield to be 150 servings. What is the conversion factor? Use the conversion factor to determine how much chicken is needed, if the old recipe called for 8 pounds. Show your work
If the original receipe requires 8 pounds and yields 40 serving, and we need to up it to 150:
40/150=8/x
Cross multiply:
40x=150x8
40x= 1200
X= 30 pounds of chicken
Two angles are complementary. If one angle measures 50 degrees, what is the measure of the second angle
Answer:
The other angle is 40 degrees
Step-by-step explanation:
Complementary angles add to 90 degrees
x+50 = 90
Subtract 50 from each side
x+50-50 = 90-50
x = 40
The other angle is 40 degrees
Natalie has $250 in savings. At the end of 6 months, she has $450 in savings. What is the percent increase in the amount of her savings?
80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%
Answer: 80%
Step-by-step explanation:
Rule of 3.
Let's put the money on the left side and the percents on the right side.
[tex]\frac{250}{450}=\frac{100}{x}[/tex]
Solve for x:
[tex]x=\frac{450*100}{250}[/tex]
[tex]x=180[/tex]
Subtract 100 from 180
180-100=80
The concrete company pours 8 sections of sidewalk each of which is 2 5/6 feet long. What is the length of the entire sidewalk that the concrete company pours
Answer: 22 2/3 feet
Step-by-step explanation:
From the question, a concrete company pours 8 sections of sidewalk each of which is 2 5/6 feet long. The length of the entire sidewalk that the concrete company pours will be calculated by multiplying 8 by 2 5/6 feet. This will be:
= 8 × 2 5/6
= 8 × 17/6
= 136/6
= 22 2/3 feet
If it takes 10 women 8 days to make 3 treehouses, how many days does it take 6 women to make 36 treehouses
Answer:
160 days
Step-by-step explanation:
If it takes 8 days with 10 women to make 3 tree houses, then the rate of woman per tree house is 3/80. Multiplying this by 6 and dividing by 36, you get a rate of 1/160 or 160 days. Hope this helps!
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
Circumference = 2 x 3.14 x radius = 27 (in)
=> radius = 27/(2 x 3.14) = 4.3 (in)
=> Area = 3.14 x radius^2 = 3.14 x 4.3^2 = 58.1 (in2)
Answer:
58 inches^2
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi *radius^{2}[/tex]
To work out the area of this circle you would first need to divide the circumference of 27 by pi, this gives you 8.594. This is because the formula for the circumference is: [tex]\pi *diameter\\[/tex] and so by dividing the circumference by pi we are isolating the value of the diameter.
Then now that we have worked out the diameter we can now begin to work out the area, however in order to work out the area we must work out the radius. You can do this by dividing the diameter by 2, which gives you 4.297.
Then to work out the area you would multiply pi by the radius of 4.297 squared, this gives you 58.01 [tex]inches^{2}[/tex].
The next step is to round it to the nearest whole number, this gives you 58.
1) Divide 27 by pi.
[tex]27/\pi =8.594[/tex]
2) Divide 8.594 by 2.
[tex]8.594/2=4.297[/tex]
3) Multiply pi by 4.297 squared.
[tex]\pi *4.297^{2} =58.01[/tex]
4) Round to the nearest whole number.
58 square inches
17. Determine whether the two figures are similar. If so, give the similarity ratio of the smaller
figure to the larger figure. The figures are not drawn to scale.
3
24
4
32
14
112
OOOO
yes; 1:4
yes; 1:6
yes; 1:8
no
Answer: yes, 1:8
Step-by-step explanation:
Each side multiplied by 8 equals the corresponding sides on the larger figure, which means the larger figure is 8 times bigger than the smaller one.
PLEASE GIVE BRAINLIEST
Both the figure is similar by the scale factor of 1:8. Option C is correct.
It is to be determine that both the figure are similar or not. If similar than by what factor.
The scale factor is defined as the ratio of modified change in dimension to original dimensions.
Both the figure will similar if the ratio of the sides are equal. i.e.
⇒ 3/24=4/32=14/112
1/8 = 1/8 = 1/8
Ratio of the sides are equal by factor of 1/8.
Thus, both the figure is similar by the scale factor of 1:8.
Learn more about Scale factor here:
https://brainly.com/question/22312172
#SPJ2
a. 9
b. 10
c. 16
d. 17
<>) Melinda
Melinda says that 500 divided by 50 is 10. Use the drop-down menus to explain
why Melinda's statement is true.
Click the arrows to choose an answer from each menu.
The value of a Choose... " in the hundreds place is Choose...
of a 5 in the Choose... place.
times the value
Answer:
The statement "500 divided by 50 is 10" is a true statement
Step-by-step explanation:
In mathematics, we have a term that we refer to as Place Value.
Place Value in mathematics can be defined as the value that a digit has based on its position or place in a number.
Examples of place value is:
Thousands represented by Th
Hundreds represented by H
Tens represented by T
Units represented by U
In the above question,
500 ÷ 50 gives us 10.
This is true because, 500 as a number, the Digit 5 has a place value of hundreds
50 as a number , the digit 5 has a place values of Tens.
10 as a number, the digit 1 has a place value of Tens.
In mathematics, the multiplication of 2 numbers in a place value of Tens always gives us a place value of hundreds.
For example, 10 × 50 = 500
Likewise, when we divide, a number with a place value of hundreds by a number with a place value of tens, we have a number with a place value of tens.
For example: 500 ÷ 50 = 10.
Therefore, the statement "500 divided by 50 is 10" is a true statement
Find the coordinates of point Bon AC such that AB is 1/3 of AC.
Answer:
(3,3)
Step-by-step explanation:
8--7=15
15/3 = 5
8-5=3
ordered pair at x=3 is (3,3)
9 x minus 10 = 3 x + 2
Answer:
x=2
Step-by-step explanation:
9 x - 10 = 3 x + 2
Subtract 3x from each side
9 x -3x- 10 = 3 x-3x + 2
6x -10 =2
Add 10 to each side
6x-10+10=2+10
6x = 12
Divide each side by 6
6x/6 = 12/6
x = 2
Answer:
x = 2
Step-by-step explanation:
9x - 10 = 3x + 2
9x - 3x = 2 + 10
6x = 12
x = 12/6
x = 2
hope it helps!
Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned} t− 5 3 t− 5 3 + 5 3 t = 5 4 = 5 4 + 5 3 =1 Step 1 Step 2 Find Michelle's mistake. Choose 1 answer: Choose 1 answer:
Answer:
Step 2
Step-by-step explanation:
Michelle's step in trying to solve the equation is given below:
[tex]\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}[/tex]
Michelle made a mistake in Step 2.
The right hand side of Step 1: [tex]\dfrac45+\dfrac35\neq 1[/tex]
Rather, the correct sum is:
[tex]\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25[/tex]
Answer:
Its 1/5
Step-by-step explanation:
Khan
Keith makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
P=8h
Step-by-step explanation:
P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.
Tabitha's Time Spent on Homework
Which best explains who spends more time on homework?
Ayana, because she has a higher maximum time spent
Ayana, because she has more variability in her time spent
Tabitha, because she has a higher median time spent
Tabitha, because she has more variability in her time spent
Answer:c Tabitha, because she has a higher median time spent
Step-by-step explanation:
Answer:
CStep-by-step explanation:
Nancy has 3.5 gallons of gasoline. She paid $10.43. How much was it for each gallon
Answer:
$2.98
Step-by-step explanation:
$10.43 / 3.5 = $2.98
What are the solution(s) to the quadratic equation 9x^2 = 4?
Answer:
x = ± 2/3
Step-by-step explanation:
9x^2 = 4
Divide each side by 9
9/9x^2 = 4/9
x^2 = 4/9
Take the square root of each side
x = ±sqrt(4/9)
x = ± 2/3
9x^2=4
/9 /9
x^2=4/9
sqrt both sides
x=+/-[tex]\sqrt{4/9}[/tex]
x=+/-([tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex])
x=+/-2/3
Answer:
x=2/3, x=-2/3
In the inequality, what are all the possible values of x?
−8x + 6 ≤ 2(−3x + 1)
A) x ≥ 2
B) x ≤ 2
C) x > 1/2
D) x < −1
Answer:
A
Step-by-step explanation:
-8*2+6≤2(-3*2+1)
= -10≤-10
Good luck I still don't know
Louis wants to carpet the rectangular floor of his basement. The basement has an area o f605 square feet. The width of the basement is 1/5 its length. What is the length of Louis's basement?
Answer:
Length = 55 ft
Step-by-step explanation:
Given:
Area of rectangular floor= 605ft²
Length= x
Width= 1/5x
Formula for area of rectangular floor= Length × width
Put the given into the formula.
605 ft² = x × 1/5x
605 ft² = x²/5
multiplying both sides by 5
605 ft² × 5 = x²/5 × 5
x² = 605 ft² × 5
= 3025 ft²
x= √3025 ft²
x= 55 ft
Put x into the unknown above.
Length= x
Width= 1/5x
Length = 55 ft
Width= (1/5)×55 = 11 ft
What is the inverse of the function f(x) =2x - 10?
Answer:
D
Step-by-step explanation:
f(x) =2x - 10
(f(x) + 10)/2 =h(X)
x/2 + 5 = h(x)
I cant fail please help
Han is hiring laborers to cut down and remove 8 large trees from his
lot. Company A charges a flat rate of $1,000 for one full day of work
with 4 laborers. They guarantee the work will be done in 1 day or
additional days will be free. Company B charges a flat equipment fee
per day of $200. plus $90 per tree. They do not guarantee the work will
be done in 1 day. Which company should Han choose? Why?
please help me
company a
Step-by-step explanation:
if the work for company b takes more than two days is gonna be more than 1,000 dollars and if he pick company a he would owe 1,000 no matter how many days it takes
thomas bought a bag of jelly beans that contained 10 red, 15 blue, and 12 green. what is the probiblity of thomas reaching into the bag and pulling out a red jelly bean and then reaching in again and pulling out a green or blue one? assume that the first jelly bean is not replaced
Answer:
20%
10/37 * 27/36 = .202727 >>> 20%
the weather report stated there is a 2/3 chance of rain Wednesday, but is more likely to rain on thursday than on Wednesday.
What is the probability of rain on Thursday?
Answer:
Any number over 66%, but less than (or equal to) 100%
Step-by-step explanation:
The probability of rain on wednesday is 66.6666% and if it is more likely to rain on thursday, thursday would have to be any number over 66.666%. The probability also has to stay below or equal to 100%.