Carpet for one office costs $210. If the carpet sells for $8.75 per
square yard, how many square yards of carpet are needed for
one office?
Answer:
a.
Let x be the number of square yards of carpeting for which the total cost charged by the two companies will be the same.
We have an expression for the total cost of Country Carpets:
($22/ 1 yd^2)* (x yd^2) + $100
= $22*x+ $100
or 22x+ 100
We also have another expression for the total cost of City Carpets:
($25/ 1 yd^2)* (x yd^2)+ $70
= $25*x+ $70
or 25x+ 70
Now set the two expressions to be equal:
22x+ 100= 25x+ 70
⇒ 100- 70= 25x -22x
⇒ 30= 3x
⇒ 30/3= x
⇒ 10= x
The final answer for a is 10 square yards of carpeting~
b.
Let's assume that Mr. Shu wants to install carpeting for 1 square yard.
Country Carpets: $22*1+ $100= $122
City Carpets: $25*1+ $70= $95
Therefore, Mr. Shu will be likely to choose City Carpets if he wants to install carpeting for 1 square yard.
Now let's try x=11 (square yard):
Country Carpets= $22*11+ $100= $342
City Carpets= $25*11+ $70= $345
Therefore, Mr. Shu will be likely to choose Country Carpets if he wants to install carpeting for 11 square yard.
If you paid really close attention, you would notice that the price of City Carpets will be cheaper than the other when x is >0 and <10. At x=10, the price is equal. When x is >10, the price of Country Carpets will be cheaper than the other one.
So it depends:
If x were >0 and <10, Mr. Shu would be likely to choose City Carpets.
If x were 10, Mr. Shu could choose either Country Carpets or City Carpets.
If x were > 10, Mr. Shu would be likely to choose Country Carpets.
Hope this helps~
Step-by-step explanation:
Consider points R, S, and T.
Point S is in the middle. Point R is below and to the left of point S. Point T is below and to the right of point S.
Which statement is true about the geometric figure that can contain these points?
No line can be drawn through any pair of the points.
One line can be drawn through all three points.
One plane can be drawn so it contains all three points.
Two planes can be drawn so that each one contains all three points.
Answer:
one plane can be drawn so it contains all three points for this question.
Step-by-step explanation:
Find the the area of a right triangle if 8cm and 12cm are a leg and a hypotenuse. Round to the nearest hundredth.
Answer:
Step-by-step explanation:
The area of a triangle is
A=bh/2 where b=base and h=height. So we first have to solve for h
8^2+h^2=12^2
h^2=12^2-8^2
h^2=144-64
h^2=80
h=(80)^(1/2), now we can find the area
A=8(80^(1/2))/2
A=4(80^(1/2)
A=35.78cm
Which is an advantage of purchasing and owning a home?
Answer:
You don't have to pay rent every month
Step-by-step explanation:
The advantage of purchasing and owning a home are:
- Building equity,
- Stability
- Investment
- Pride of ownership
- Tax benefits
What is home?A home is a place where a person or a family lives, typically a house or an apartment.
It is a place of residence and refuge, where individuals or families can feel secure and comfortable.
We have,
There are several advantages of purchasing and owning a home, including:
Building equity: When you make mortgage payments, you are building equity in your home. This means that over time, you own more and more of your home and may be able to use the equity to your advantage.
Stability: Owning a home provides a stable living situation since you are not subject to rent increases or the possibility of eviction.
Investment: A home can be a good long-term investment as it generally appreciates in value over time. This means that if you sell your home in the future, you may be able to sell it for more than you paid for it.
Pride of ownership: Owning a home can give you a sense of pride and accomplishment, and you have the freedom to make changes and improvements to the property as you see fit.
Tax benefits: Homeowners may be able to deduct mortgage interest and property taxes on their income tax returns, which can result in significant savings.
Thus,
Several advantages of purchasing and owning a home are given above.
Learn more about home here:
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A colony of 1,000 bacteria doubles in size every 18 minutes. What will the population be 54 minutes from now? (show steps) - will give brainliest
Answer:
3000.24
Step-by-step explanation:
We know that every 18 min, the colony grows 1000, so to make it easy, the way i do it is that i find out how much it grows per min
1000 / 18 = 55.56
Then, to find out how big it will be in 54 min, we just multiply
55.56 x 54 = 3000.24
So that will be the size of the colony in 54 min. I hope this helps :)
do any of you guys know this please i need helppp!!
The answer is 5/6 i have to say it right or a bot deletes my answer
Jan's flower garden has only daffodils and tulips
in it. There are 15 daffodils and 12 tulips. What
is the ratio of the number of tulips to the total
number of flowers in Jan's garden?
A.5:4
B. 5:9
C. 4:5
D. 4:9
Answer:
D. 4:9
Step-by-step explanation:
12 tulips to Toltal number of flowers
12+15=27 so,
12:27 simplify it and you get
4:9
Maria rents a skating rink for a party. She p. 59.75 for the rental fee
and $2.50 per hour. Which expression shows the total cost Maria pays to
rent the skating rink for h hours?
A 59.75 +2.50h
B (59.75 +2.50)
© 59.75h + 2.50
D 59.75 -2.50h
c is the correct answer.
What is the constant of proportionality (k) for the table below?
Suppose that tickets for a rock concert cost $5 for the first ticket, $10 for the second ticket, $15 for the third ticket, and so on. If you bought 10 tickets, how much would you pay altogether for all 10 tickets?
Answer:
275$
Step-by-step explanation:
which statement is true?
Answer:
9 < √91 < 10
Step-by-step explanation:
just square everything
Simplify the following equation. Explain each step and write the property used. 3x+2x-3+10=27
Answer:
x=4
Step-by-step explanation:
1. Add like terms: 5x+7=27
2. Use the subtraction property on both sides to get rid of 7: 5x=20
3. Divide 5 on both sides to get x by itself: x=4
It’s a math question about pumpkins look at image
Answer:
A :)
Step-by-step explanation:
in the question it says "the price (y) in dollars" and before says "the weight (x) in ounces
Answer:
A
Step-by-step explanation:
I think
In a lab experiment, 50 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 20 hours. How many bacteria would there be after 8 hours, to the nearest whole number?
Answer:
y=65.975395539
y≈66
help me
y+5=2(x-4)
❗❗❗❗❗❗❗❗❗❗
A box is to be wrapped in a shiny pink decorative paper. The box is o inches long, 5 inches wide, and 4 Inches high. What is the minimum amount of decorative paper needed to cover the box?
Answer:
20 inches
Step-by-step explanation:
Because the volume of the box is 20.
Correct me if im wrong and please wait for more responses if needed please.
I need help with geometry
In IJK, the measure of K=90°, KI = 8.1 feet, and JK = 1.9 feet. Find the measure of
J to the nearest degree.
Answer:
77
Step-by-step explanation:
How to solve this geometry?
Step by step solution please.
This is a relatively complex problem and it took me a good 20 minutes to solve, I included a sketch I made myself while im solving this problem hope it helps with the explanation. (the dotted lines are my drawings, also I labeled the points just look at my graph)
Now to find <x, we can use the exterior angles theorem a couple of times.
<x=<p+<AGE
<x=30 degrees + <AGE
Now use the theorem again to find <AGE
<AGE=<q+<BIG
Now use substitution for <q and for <AGE
<x=30 degrees+60 degrees+ <BIG
We put this to the side for now and try solve for <CHD which is not very difficult
<CHD=180-45-20=115
We can also clearly figure out <HFI using vertical angles theorem.
<HFI=<Y
Because they all form a triangle we can conclude that <y+<BIG=180 degrees-<FHI= 180-115=65 degrees
substitution again
<x+<y=30+60+<BIG+<HFI (remember <HFI = <y vertical angles theorem)
<x+<y=30+60+65 (remember how we did before these 2 angles adds up to 65?)
<x+<y=155 degrees
Now please don't hate me on this, I'm sure there is more efficient ways to explain this problem, this is just my way from trial and error.
Tip for next time you are stuck on a geometry problem, don't be afraid to draw the graph again on paper and add lines to it!
You won't get everything perfect the first time you try but the more you practice the more comfortable you are with these problems, Hope my explanation helped!
**Just a note would you mind telling me where you got this problem form, its pretty challenging :)
O 3x=4-y
O y=3x+4
Question 9
Which of the following is a point on the equation for 3x + y = 4.
it says Andre starts with $100 in his savings account and adds $5 per week Elena starts with $10 in her savings account and adds $20 each week after 4 weeks who has more money in their savings account
Answer:
Andre
Step-by-step explanation:
So for Andre you would do 5*4=20 and 100 + 20 = 120.
And Elena you would do 20*4=80 then 80 + 10 = 90.
Hope this helps!!
Factor
x^2-6x-16
pls help i dont get it
Write an
explicit formula for an, the nth term of the sequence 1, 3, 9, ....
Answer:
an=a+(n-1)d
Step-by-step explanation:
1 3 9 ....
is the answer
X / 2 = 7 find what x represents
Answer:
x = 14
Step-by-step explanation:
X / 2 = 7
Multiply by 2 to isolate x.
x = 7 * 2
x = 14
What is the image of the point (9,7) after a rotation of 180 counterclockwise about the origin
The image of the point (9,7) after a rotation of 180 counterclockwise about the origin is at (-9, -7)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Rotation of a point A(x, y) 180 counterclockwise about the origin produces an image at A'(-x, -y).
Hence, the image of the point (9,7) after a rotation of 180 counterclockwise about the origin is at (-9, -7)
Find out more at: https://brainly.com/question/16825824
Three students took a math test.
• Liam completed the test in 2/4 hours
• Sarah completed the test in 1/2 of Liam's time
• Emma completed the test in 4/3 of Sarah's time
How long did it take for Sarah to complete the math test?
Answer:
20 minutes
Step-by-step explanation:
Liam completed the test in 1/2 of an hour. One half of that, Sarah's time, is 1/4.
Hence, you don't even have to solve for Emma's time, Sarah took twenty minutes to complete the test.
Hope this helps :)
Stay cold,
Brook
Question 10 (2 points)
Find the missing length.
a
2.1 cm
2.9 cm
I NEED HELPPPP PLSSSS ITS FOR A MASTERY TEST PLSSSS HELPPPP
Answer:
a = 2
Step-by-step explanation:
To find the missing length we can use the Pythagorean theorem. Also, because it's a right triangle it makes it the perfect candidate!
The Pythagorean Theorem states:
a^2 + b^2 = c^2
Next, we substitute the letters with our given numbers (keep in mind that c is the hypotenuse which is the side facing the right angle)
a^2 + 2.1^2 = 2.9^2
Finally, we solve our equation (hint: use the calculator if needed)
a^2 = 4 (your answer is not final yet. You have to take the square root of both numbers)
a = 2 (Now that's the final answer!)
Please help me with this
what is the value of the expression if n=15
RELIGION
how does the Torah affect Jewish life today !!!!!!!
i will give brainlisttttt
Answer:
the Torah plays a big part in the lives of Jews today as it is believed to be the word of God. All Jews use the Torah to help guide them in their lives, but some Jews use the Torah more strictly than others. For example, some Orthodox Jews believe that it is important to follow every single rule in the Torah. However, Reform Jews tend to follow the rules they feel are most important and disregard some rules they see as outdated.
The significance of the Torah is seen in many ways:
It is read aloud weekly at the synagogue. It takes a year to recite the whole Torah.
The festival of Shavout celebrates God’s revelation of the Torah to Moses.
The commandments in the Torah shape the way that Jews live their lives today.
Step-by-step explanation: