Answer:
[tex]D=(20.42)(28.42)[/tex]
Step-by-step explanation:
From the question we are told that
Width [tex]W=24ft[/tex]
Length [tex]L=32ft[/tex]
She can afford to buy 560 square feet of carpeting
Let
[tex]S=width\ of\ strip[/tex]
Generally the Dimension of the rug is mathematically given as
Width of Rug [tex]W' = (24- 2S)ft[/tex]
Length of Rug [tex]L'= (32-2S) ft[/tex]
Generally the width of strip S is mathematically given by
[tex](32-2s)*(24-2s)=560[/tex]
[tex]-4s-112s+208=0[/tex]
[tex]s_1=-29.7\\s_2=1.748[/tex]
Therefore the width is
[tex]s=1.748[/tex]
Generally the dimension of the rug D is mathematically given as
Width of Rug [tex]W' = (24- 2s)ft[/tex]
[tex]W' = (24- 2(1.79))ft[/tex]
[tex]W' =20.42ft[/tex]
Length of Rug [tex]L'= (32-2S) ft[/tex]
[tex]L'= (32-2(1.79)) ft[/tex]
[tex]L'=28.42 ft[/tex]
Therefore dimension of Rug is given by
[tex]D=(20.42)(28.42)[/tex]
. The total area of a rectangular mural has been extended by x feet. The expression to represent the area is 5.5(7.5 + x). Rewrite the expression using the Distributive Property.
Answer and Step-by-step explanation: Distributive Property describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:
11(2 + 4)
11(6) = 66 22 + 44 = 66
So, for the expression that represents the area:
5.5(7.5 + x) = 41.25 + 5.5x
As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.
The expressio for area of a rectangular mural is 41.25 + 5.5x.
Charlotte has 3 beads. She has 8 more red beads than blue beads?
Answer:
The fourth one
Step-by-step explanation:
Answer:
n+8n+30 where n is the number of red beads
Step-by-step explanation:
2. A nutritionist wants to collect data on how much caffeine the average American drinks per day. She has the following ideas for how she could obtain a sample:
a. Ask the first 20 adults who arrive at a grocery store after 10:00 a.m. about the average amount of caffeine they consume each day.
b. Every 30 minutes, ask the first adult who comes into a coffee shop about the average amount of caffeine they consume each day.
Answer:
B
Step-by-step explanation:
If you start to ask after 10:00 am, a lot of people isn't drinking caffeine. And, were trying to figure out the average.
Joe earns a 15% commission on all sales. If commission was $1,125, find the amount of his sales
Find the value of each variable.
Answer:
the third option
Step-by-step explanation:
x= 13
[tex] {y}^{2} = {13}^{2} + {13}^{2} \\ {y}^{2} = 338 \\ y = \sqrt{338} = 18.38 = 13 \sqrt{2} [/tex]
solve (-25)÷0=? please give me right solution
Answer:
its undefined
Step-by-step explanation:
7n +2 –(2n +7) pls help I will give you 15 points
Answer:
5n -5
Step-by-step explanation:
7n +2 –(2n +7)
7n +2 -2n -7
5n -5
Nicholas uses a coordinate system with units of feet to keep track of any items he finds with his metal detector. One day he found a ring at (-2, -6) and a coin at (7, 6). How far apart were the ring and the coin?
Answer: The distance between the ring and the coin = 15 units.
Step-by-step explanation:
Distance between two points (a,b) and (c,d) is given by :-
[tex]D=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Location of rine = (-2,-6)
Location of the coin = (7,6)
Then, the distance between the ring and the coin [tex]=\sqrt{(6-(-6))^2+(7-(-2))^2}[/tex]
[tex]=\sqrt{(12)^2+(9)^2}\\\\=\sqrt{144+81}\\\\=\sqrt{225}=15[/tex]
Hence, the distance between the ring and the coin = 15 units.
Can somebody help me please
Answer:
I believe it’s 65
Step-by-step explanation:
Not fully sure
A scientist measured the growth rate of an apple tree at 10 inches in 5 weeks. What is the growth rate of the apple tree? (in inches/week)
Answer:
2 inches per week.
Step-by-step explanation:
1 week = 2 inches
5 weeks = 10 inches
Help! Pls I cant solve it help me with explanation also pls.
Given:
The expression is
[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]
It can be written as
[tex]=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}[/tex]
[tex]=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Taking LCM, we get
[tex]=\dfrac{2(a+2)-8}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2a+4-8}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2a-4}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2(a-2)}{(a-2)(a+2)}[/tex]
Cancel out the common factors.
[tex]=\dfrac{2}{a+2}[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{2}{a+2}[/tex].
P=-30h+74 The variable h represents the number of hours he has spent reading, the variable p represents the number of pages left to read. How many hours of reading will Ethan have to do in order to have 14 pages left to read?
Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read
Step-by-step explanation:
Given the equation
P=-30h+74
where p =number of pages left to read and
h= the number of hours he has spent reading
Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be
P=-30h+74
14= -30h + 74
30h= 74-14
30h= 60
h = 60/30
h =2 hours
Ethan will have to spend 2 hours reading if 14 pages are left to read
There were 220 people who voted at the 6th grade meeting. Sixty percent of the voters are in favor of changing the school mascot. How many people are against changing the mascot? Use numbers and words to explain your answer.
Step-by-step explanation:
First I had to find 60% of 220.
220 × .60 = 132.
132 people are in favor so I have to subtract that number from 220 to find how many people were against.
220-132 = 88
88 people were against changing the mascot.
need help with this too-
please help!!!!! i’ve been stuck on this question
Answer:
30
Step-by-step explanation:
The angle for BOF is going to be 180.
So if the angle for COF is 150, then COB is going to be the complement angle.
This means it's 180 - 150 = 30.
An integer k has the properties shown. What is a possible value of K?
Answer:
81
Step-by-step explanation:
sq rt 81 = 8.94
8.94 is between 8 and 9
20-8.94 = 11.06 rounds to 11
Which situation is BEST modeled by a linear function? A) The value of a new automobile that depreciates 20% each year. B) The size of a culture of yeast that doubles in size every 20 minutes. C) The amount an investment is worth when earning 7.2% compounded yearly. D) The amount of interest earned for a year on a savings account earning 5.5% simple interest.
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Graphing B would result in a liner function since the change is constant. The other functions lead in exponential change.
For his long distance phone service, Miguel pays a $3 monthly fee plus 11 cents per minute. Last month, Miguel's long distance bill was $14.22 . For how many minutes was Miguel billed?
Answer: B=3+.11m
18.73=3+.11m
-3 -3
15.73=.11m
143=m
Step-by-step explanation:
!!! PLEASE HELP !!! Clare made green paint with 4 cups of yellow paint and 5 cups of blue paint. If Ms.
Kim only has 1 cup of blue paint, how much yellow paint should she use to get the
same color green?
Answer:
1/2 cup blue
blahnik black gg fu lrjrhjrjrek
Answer:
bshdjrjrb
Step-by-step explanation:
abcdefghijklmnop
Which expression represents a factorization of 32m + 56mp?
A 8(4m + 7p)
B 8(4 + 7)mp
C 8p(4 + 7m)
D 8m(4 + 7p)
Answer:
D 8m(4 + 7p)
Step-by-step explanation:
The GCF of 32 and 56 is 8.
m and mp have m in common, so you can factor out 8m.
32m + 56mp = 8m(4 + 7p)
Answer: D 8m(4 + 7p)
Answer: D, 8m(4+7p)
Step-by-step explanation:
8m times 4=32m
8m times 7p=56mp
Which expressions are equivalent to this exponential expression?
Find h is f(h) = 215
please help thank you!!
Answer:
h = 215/f
Step-by-step explanation:
Please guys help me. I will give you the brainliest. Answer what you know
Answer:
number 3 is B and number 4 is C
Step-by-step explanation:
7n-1
the 5th term of the sequence 4n+1
Jose has scored 555 points on his math tests so far this semester. To get an A for the semester, he must score at least 660 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests, n, in order to get an A.
F(x) = x + 4
A. F(7)=3
B. F(3)=12
C. F(3)=7
Which one is correct and how do you solve it step by step?
Answer:
C. F(3) = 7
Step-by-step explanation:
You have to to substitute the value of the function into each equation.
So...
A. 7+4 does not equal 7
B. 3+4 does not equal 3
C. 3+4 DOES equal 7
Answer:
C
Step-by-step explanation:
PLEASE HELP MEEEEEE I AM SOOOOOOOOOOOO CONFUZED
Calculate the area of the irregular polygon shown below:
24 square inches
44 square inches
54 square inches
84 square inches
Silver scored 48 points in 4 basketball games. If Silver scored the same amount in each game how many points would he score in 10 games?
Answer: 120
Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D
1. Emily bicycle wheel had a diameter of 18 inches.
If the wheel makes 10 revolutions, approximately how far will the
bicycle have to travel? Round your answer correct to the nearest
whole number.
2. Which statement is not true in the equation
y = 0.5x?
A. The value of y is one-half times the value of x.
B. The equation represents an additive relationship.
C. The value of y is 4 when the value of x is 8.
D. The equation represents a multiplicative
relationship.
Answer:
B
Step-by-step explanation:
Claire received 3/8 of her allowance on Monday. What decimal shows the part of her allowance that she received?
0.375
0.75
0.83
2.6
Answer:
0.375
Step-by-step explanation:
3/8 = 0.375