Answer:
13 x 158
Step-by-step explanation:
L= 2W
A= 315 sq ft^2
A= L*W
315= 2W* W
315/2= 158 = w^2
W^2= 158
W=[tex]\sqrt{158}[/tex]
W= 13
The rug should have a dimension of 15 ft wide and 21 ft long.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.
Let the length of the room be l and h be the width.
So, given that,
l = 19 ft
h = 25 ft
Let w be the width of rug,
Since Cynthia can afford to buy 315 square feet of carpeting
So, area of the rug should be given as,
l*h = 315
Now to carpet the room along its dimension, each side of the width is
w + w = 2w.
So, l =25 - 2w
h = 19 - 2w
Now, ∵ l*h = 315
Put the values we get,
(25 - 2w)*(19 - 2w) = 315
expanding we get,
4w² - 88w + 475 = 315
or, 4w² - 88w + 160 = 0
or, w² - 22w + 40 = 0
using the quadratic equation we get two solutions:
w = 2
w = 20
Since, w = 20 is greater than one of the width of the room i.e 19ft
So,we take the solution w = 2
Thus, dimensions of rug is given as,
l = 25 - 2*2 = 21 ft
h = 19 - 2*2 = 15 ft
Thus, the rug should have a dimension of 15 ft wide and 21 ft long.
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Algebra 1B:
x/13 + 29 = -36
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=−845
Step-by-step explanation:
Simplify :
3x - 2(x - 5)
Answer:
x + 10
Step-by-step explanation:
-2(x-5) =
-2x + 10
3x - 2x + 10 =
x + 10
:)
Farid thinks last month was unusually rainy in his town—they had 6 inches of rain! His town's current record for rainfall in a year is 2 feet. Farid wonders what the new record would be if they were to keep getting this much rain for an entire year. If Farid's town had 6 inches of rain every month for 12 straight months, by how many feet would they beat the annual record?
Look at the image of a composite figure. What polygon shapes form this
composite figure?
Select the expression that shows the application of the distributive property for
9(t - 5)
a
9t + 14
b
9 + t + 9 + 5
c
9t + 45
d
9t - 45
PLEASE HELP ME!!!
Answer:
c. 9t+45 that shows distributive property
where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5
A walkway goes through the middle of a square playground from one corner to the opposite corner. If the walkway is 20 meters long, how long are each of the sides of the playground? Round your answer to the nearest hundredths.
Need Help!
The area of triangle xyz is 35 cm. the height is 10cm. what is the base of the triangle?
Answer:
Base of the triangle = 7 cm
Step-by-step explanation:
Given information,
→ Area of triangle = 35 cm
→ Height = 10 cm
Now we have to,
→ Find the base of the triangle.
Formula we use,
→ Area = ½ × b × h
Forming the equation,
→ (1/2) × b × 10 = 35
Then the value of b will be,
→ (1/2) × b × 10 = 35
→ (b × 10)/2 = 35
→ 10b/2 = 35
→ 10b = 35 × 2
→ 10b = 70
→ b = 70/10
→ [ b = 7 cm ]
Hence, the value of b is 7 cm.
Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Answer:
84.8 ft
Step-by-step explanation:
6.6x6 + 8.2x2 + 2x2 + 12.4x2 = 84.8ft
If you flip the graph of the exponential function f(x) = 2x over the x-axis, what
is the equation of the new function?
O A. g(x) = 1/2
O B. g(x) = 2x - 1
O c. g(x) = 2-X
D. g(x) = -2X
Answer:
Step-by-step explanation:
G(x)=-2x
Answer:A
Step-by-step explanation:
Ill give u brainly if u help on this one too please !
Answer:
The correct answer is B!
Step-by-step explanation:
I hope it helps you Sir (or ma'am.)
what’s the answer? someone help!!!
Parking lots A and B each charge a set fee for parking plus an hourly rate.
Hours Parked48Lot A Cost ($)19.00/33.00
Lot B Cost ($)20.00/32.00
How many more dollars does it cost per hour to park in Lot A than in Lot B? Give the answer as a decimal showing dollars and cents.
Answer:
$0.5
Step-by-step explanation:
Given :
Hours ___Lot A Cost ($) ___ Lot B Cost ($) 4____________19.00 _____ 20.00
8 ___________ 33.00 ______ 32.00
Using the equation :
y = mx + C
m = slope = Hourly charge
C = intercept = set park fee
m = y2 - y1 / x2 - x1
For LotA:
m1 = (33 - 19) / (8 - 4)
m1 = 14 / 4
m1 = 3.5
For LotB:
m2 = (32 - 20) / (8 - 4)
m2 = 12 / 4
m2 = 3
Since, m is the hourly cost :
Difference = m1 - m2
= 3.5 - 3
= $0. 5
If 2^2x = 2^3, what is the value of x?
Answer:
X = 3/2.
Step-by-step explanation:
Please refer to the attachment given above.
The value of x in the equation 2[tex]^{(2x)}[/tex] = 2³ is 1.5.
To find the value of x in the equation 2[tex]^{(2x)}[/tex] = 2³, we can use the property of exponents that states: If two exponential expressions have the same base and are equal, then their exponents must be equal.
In this case, we have 2[tex]^{(2x)}[/tex] = 2³. Since the bases are the same (both are 2), we can equate the exponents:
2x = 3
Now, to solve for x, divide both sides by 2:
x = 3/2
So, the value of x is 3/2 or 1.5.
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can somebody answer it for me please. simplify and it can only contain positive exponent.
Answer:
1/2m^12
Step-by-step explanation:
simplify the expression :
m^-6/2m^3 x m^3
1/2m^9 x m^3
solution: 1/2m^12
sorry its really hard to explain the steps but I hope I helped you :)
Answer:
[tex]\frac{1 }{2m} ^x{12}[/tex]
Step-by-step explanation:
just take away the X
2x-2= 10x -4 help me
Answer
-8x=-2
x=-2/-8
x=1/4
Step-by-step explanation:
helppp
If h = 10 cm and r = 5 cm, then the volume of this cone is___________cm3. (round to the 100th)
Answer:
261.8
Step-by-step explanation:
pi x 5 squared x 10/3 = 261.8 for a cone
Juliette made cookies for a bake sale and wants to package the same number of cookies together. If she makes 16 chocolate chip cookies, 32 mint cookies, and 24 gingerbread cookies, what is the most number of each type of cookie that will be in the bag?
Answer:
8 cookies
Step-by-step explanation:
We are asked in the above question to find the most number of cookies that would be in the bag.
We solve the above question using the Greatest Common Factor method
We find the factors of 16, 24, 32
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 32 are: 1, 2, 4, 8, 16, 32
Then the greatest common factor is 8.
Therefore, the most number of each type of cookie that will be in the bag is 8 cookies
I NEED HELP THIS WORKSHEET IS DUE IN AN HOUR!!!!!!!!
14/15 + x = 4/9
Answer:
So let's rearrangeWe get x= -22/451.Construct a linear equation from the following statements.
(i) The quotient of three times a number and 5 is 9.
(ii) One-third a number added to 5 gives 25.
2. Solve the following equations.
15(x-1) – 3(x-2) + 7(x+3) = 0
3. What do you mean by SAS and RHS?
4. Find whether the pairs of triangles in each question below are congruent or not. If yes then state the criterion of congruence in each case.
P Q
_________
| |
3cm | | 3cm
|_________|
S R
Answer:
Stop cheating!!!!!
g(1) if g(x) = x^2 + 1.
Answer:
g(1)=2
Step-by-step explanation:
g(1)= 1^2+1 (you fill in 1 for x)
g(1)=1+1 (1 to the second power is 1 times 1 which is 1 and then you add 1 and 1)
g(1)=2
PLEASE HELP ME NOW 3/5g − 1/3 = −10/3 WHAT IS G
Answer:
The answer is G = -5
Step-by-step explanation:
your welcome :)
Solve. Show all work.
40 = x - 10
Answer:
x=50
Step-by-step explanation:
40=x-10
Add 10 to both sides to isolate x
40+10=xSolve.
50=xChecking the solution
40=50-1040=40Answer:
x = 50
Step-by-step explanation:
40 = x - 10
subtract/add (always do the opposite so we would add 10)
50 = x
there's your answer
Find the x-and y-intercepts of the graph of 2x + 8y = 30. State your answers as
whole numbers or as improper fractions in simplest form.
It’s for algebra
Answer:
x int= (15, 0)
y int= (0, 15/4)
Step-by-step explanation:
for x int- plug 0 in for y and solve for x
for y int- plug 0 in for x and solve for y
There are 39 students in a class of which 14 are girls,
What fraction of the students is girls?20 points
Answer:
it would be 14/39
Step-by-step explanation:
An exponential function, f(x), passes through the points (2,5) and (8,20). Determine the value of f(25) to the nearest integer.
Answer:
assume: f(x) = A(bx); then: f(8) = A(b8) = 20;
and: f(2) = A(b2) = 5
dividing the first equation by the second equation gives: b6 = 4; or: b = 4(1/6) = 1.26;
then: A(1.262) = 5; or: A = 5/(1.262) = 3.15; then: f(x) = 3.15(1.26x);
so that: f(25) = 3.15(1.2625) = 1017.6 ---> 1018
Step-by-step explanation:
hope it helps and Work..
you can buy 7 oranges for 8.50 what is the price per orange
Answer:
The price of one orande is 1.21.
Step-by-step explanation:
Answer:
Short Version: 1.21
Long Version: 1.21428571
Step-by-step explanation:
Just divide 8.50 by 7
A store in Madison, Wisconsin, advertised an HDTV for $1,224.95.
a. What is the sales tax if the combined state and city rate is 6 percent?
b. What is the total purchase price?
Answer:
a. $73.50
b. $1298.45
Step-by-step explanation:
6% of $1224.95 is $73.50
add them and it's $1298.45 total
Mel uses one fourth of a yard of ribbon to make a hair bow how many hair bows can mel make with 1 yard of ribbon
Answer:
4 hair bow
Step-by-step explanation:
if 1/4 can make 1 hair bows you can make 4 hair bows
, it's simple 4/1=4
Answer:
4 ribbons as 1/4 is used to make one so an entire yard can be used to make 4
this can be prooved by using division
1÷1/4
making their denominators equal
=(1/1*4)÷(1/4*1)
=4/4÷1/4
=4
GEOMETRY: Find JL of the line.
Answer:
JL = 31
Step-by-step explanation:
JL is the total length of the line segment. We know that JK is 15 units long and that KL is 16 units long. So, you would add these numbers (15 & 16) together to get the total length of the line segment. Hope this helps! :)
The minute hand on MS. Scott’s clock is 22 inches long, from the center of the clock to its edge. Approximately how far does the minute hand travel around the clock in one hour?
Answer:
one thousand three hundred twenty inches