Cynthia besch wants to buy a rug for a room that is 20 ft wide and 33 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 378 ft² of carpeting. What dimensions should the rug have?
Answer:
Length of rug = 14 ft
Width of rug = 27 ft
Step-by-step explanation:
Given:
Length of rug = 20 ft
Width of rug = 33 ft
Area she afford = 378 ft²
Find:
New sides
Computation:
Assume;
Uniform strip = x
So,
Length of rug = 20 - x ft
Width of rug = 33 - x ft
Ares = l × b
[20-x][33-x] = 378
660 - 20x - 33x + x² = 378
x² - 53x + 282
x² - 47x - 6x + 282
x(x-47) -6(x-47)
So,
x = 6 and x = 47
X = 47 not be taken, So x=6
Length of rug = 20 - 6 ft
Width of rug = 33 - 6 ft
Length of rug = 14 ft
Width of rug = 27 ft
this is true or false? and why.
Which graph is generated by this table of values? x –5 –3 –1 4 y 2 4 1 0 On a coordinate plane, points are at (negative 5, 2), (negative 3, 4), (negative 1, 1), and (4, 0). On a coordinate plane, points are at (negative 5, negative 2), (negative 3, negative 4), (negative 1, negative 1), and (4, 0). On a coordinate plane, points are at (0, 4), (1, negative 1), (2, negative 5), and (4, negative 3). On a coordinate plane, points are at (1, negative 1), (3, negative 4), (4, 0), and (5, negative 2).
Answer:
The answer is A
Step-by-step explanation:
All you must do is find the correct values in the graph.
The graph which is generated by the table of values x -5,-3,-1,4 and y=2,4,1,0 is on coordinate plane points are at (-5,2) ,(-3,4) ,(-1,1) ,(4,0).
What is function?A function is a relationship between two or more variables having each value of x corresponding to y values. Values of x are known as domain and values of y are known as codomain.
How to graph function?We have been given the following table as under:
x y
-5 -3
-3 4
-1 1
4 0
We have to plot the points -5 ,-3,-1,4 on x axis and corresponding-3,4,1,0 on y-axis.
Hence the graph of given table of values is that on coordinate plane points are at (-5,2) (-3,4)(-1,1)(4,0).
Learn more about function at https://brainly.com/question/10439235
#SPJ2
.8787... as a fraction
Step-by-step explanation:
Write 0.8787 as
0.8787/1
Multiply both numerator and denominator by 10 for every number after the decimal point
0.8787 × 10000
1 × 10000
=
8787/10000
Reducing the fraction gives
8787/10000
An actor gains 20 pounds for a part and then loses 15 pounds during the filming of the movie to go along with the story. How many pounds is the actor above or below his original weight?
Answer:
5 pounds above his original weight
Step-by-step explanation:
An actor gains 20 pounds for a role in a movie
He loses 15 pounds during the movie to blend with the story line of the movie
Since he gained 20 pounds and loses 15 pounds
20 pounds -15 pounds
= 5 pounds
Hence the actor is 5 pounds above his original weight
A quadrilateral has angle measures of 41 52 and 54 which is the measure of the last angle
Answer:
213 degrees
Step-by-step explanation:
A quadrilateral has an internal measurement of angles of 360 degrees. Given that we have 3 measures of the angles, we simply need to find the 4th. This can be accomplished with the following equation:
x + 52 + 54 + 41 = 360
x + 52 + 95 = 360
x + 147 = 360
x = 213
Hence, the measure of the final angle is 213 degrees.
Cheers.
The width of kevin's yard is three times the width of his garage, increased by 12 feet. What expression describes the width of kevin's yard if g represents the width of his garage?
Answer:
The expression that describes the width of Kevin’s yard is (3g + 12) feet
Step-by-step explanation:
This is an expression problem.
From the question, we are made to know that the width of the yard is 3 times the width of the garage increased by 12 feet.
Now, we are told that the width of the garage is g feet and we want to find the width of the yard.
The width of the yard will be g feet * 3 + 12
Mathematically that would be 3g + 12 feet
Trevor picked 5 ⅗ pounds of cherries. He distributed them evenly into 12 containers. How many pounds of cherries were in each container?
Answer:
7/15
Step-by-step explanation:
For me, it is easier to take the 3/5 and put it in decimal form which is .6 and add the 5 to it, making 5.6, and then in a calculator put in 5.6 divided by 12 and you should get a big decimal that's pretty big but if you have a graphing calculator and convert that to a fraction and you should get 7/15, This is a pretty lazy way of me doing it but that's how I did it.
Can someone help me with this
The definition of a triangle is a polynomial with 3 sides and interior angles adding up to 180.
Using the definition, we can create an equation.
[tex]180=42+31+x[/tex]
[tex]180=73+x[/tex]
[tex]x=107[/tex]
The measure of the third interior angle is 107 degrees.
Hope this helps.
頑張って!
Answer:
107
Step-by-step explanation:
triangle angles = 180
31 + 42 = 73
180 - 73 = 107
Please, can you do this step-by-step.... 2 1/3 + 6 3/5
Answer:
8 14/15
Step-by-step explanation:
Step 1:
2 1/3 + 6 3/5
Step 2:
2 5/15 + 6 9/15
Answer:
8 14/15
Hope This Helps :)
Answer:8 14/15
Step-by-step explanation:
convert to lcd, 2 5/15 6 9/15
add them and you get that
7r-9s+2r
evaluate for the following expressions for r=7,s=-2 and t=5
Answer:
91
Step-by-step explanation:
7(7) - 9(-2)+2(7)
=142+49
=91
Answer:
81
Step-by-step explanation:
Simplify it first:
7r-9s+2r = 7(7)-9(-2)+2(7) = 49-(-18)+14
(Since you have 49-(-18) it automatically becomes addition/a positive.)
So you have 49+18=14 which equals 81.
Hope this helps :)
Out of 340 racers who started the marathon, 302 completed the race, 26 gave up, and 12 were disqualified. What percentage did not complete the marathon?
Answer:
11.18%
Step-by-step explanation:
Total = 340
Completed = 302
Not completed = 340 - 302 = 38
Not completed% = 38/340*100% = 11.18%
If 2.5 pounds of strawberries cost $10, how much do 8 pounds of strawberries cost? Question 17 options: $3.13 $32.00 $40.00 $2.00
Answer:
32 dollars for 8 pounds
Step-by-step explanation:
1. 2.5 times 3 = 7.5
2. 10 times 3 = 30
3. 2.5 divided by 5 = .5
4. 10 divided by 5 = 2
5. 7.5 + .5 equals 8
6. 30 + 2 = 32.
hope this helps you:)
Answer:
$32.00
Step-by-step explanation:
i took 10 divided by 2 and got its $4 a pound then take 8 times 4 and got 32
Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any value of a D. no value of a
Answer:
2
Step-by-step explanation:
A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x
So, 2([tex]\frac{x+1}{a}[/tex]) - 1 = [tex]\frac{(2x-1)+1}{a}[/tex]
If you multiply both sides by a, you get 2a([tex]\frac{x+1}{a}[/tex]) - a = (2x-1)+1
Simplify it 2a([tex]\frac{x+1}{a}[/tex]) - a = 2x
Add a to both sides 2a([tex]\frac{x+1}{a}[/tex]) = 2x +a
The two as on the left cancel out 2(x+1)=2x+a
Distribute the 2 2x+2=2x+a
Then subtract 2x from both sides 2 = a
Therefore, a = 2
Hope this helps!
Answer:2
Step-by-step explanation:
Tommy used a straightedge and a compass to construct a square inside circle C, as shown.
Which of the following steps did Tommy take to construct the inscribed square? Select all steps in the construction.
A Construct a perpendicular bisector of the diameter AB.
B. Construct a perpendicular bisector of the diameter DE.
C. Construct a bisector of ADB to find the location of point E.
D. Use the compass to draw a circle centered at point c.
O E Use the compass to draw two arcs of the same radius centered at point C.
OF Use the straightedge to draw diameter AB of the circle.
OG Use the straightedge to draw lines connecting the endpoints of the two diameters.
Answer:
The correct options are;
A. Construct a perpendicular bisector of the diameter AB
D. Use the compass to draw a circle centered at point C
E. Use the compass to draw two arcs of the same radius centered at point C
F. Use the straightedge to draw diameter AB of the circle
G. Use the straightedge to draw lines connecting the endpoints of the two diameters
Step-by-step explanation:
To draw an inscribed square of a circle, the circle is first constructed. The diameter of the circle is drawn with a straight edge to find the first two vertices of the intended inscribed square. The perpendicular bisector of the diameter is then drawn intersecting the circumference to provide the other two vertices of the square.
The straightedge is then used to draw lines that connect the endpoints of the two diameters to form the inscribed square of the circle.
Russell runs 9/10 miles in 5 minutes. At this rate, how many miles can he run in one minute
Answer:
9/50 miles
Step-by-step explanation:
9/10 miles in 5 minutes
= 9/50 miles in 1 min
A box of cornflakes has a mass of 350g.A new box is brought out which states "contains 15% extra".What is the mass of the new box?
CAN SOMEONE HELP ME PLEASE IAM STUCK
Which of the expressions has a sum of 15.41? Select all that apply. A. 11 . 38 + 4 . 03 B. 10 + 5 . 41 C. 12 . 38 + 2 . 93 D. 9 . 2 + 6 . 21 E. 7 . 54 + 6 . 87
Answer: A. 11 . 38 + 4 . 03
B. 10 + 5 . 41
D. 9 . 2 + 6 . 21
Step-by-step explanation:
Step 1
Compute the sum of the given options
a) 11 . 38 + 4 . 03 = 15.41
b) 10 + 5 . 41= 15.41
c) 12 . 38 + 2 . 93= 15.31
d) 9 . 2 + 6 . 21 =15.41
e) 7 . 54 + 6 . 87=14.41
Step 2
Eliminate the expressions that do not give a sum of 15.41 , we have
a) 11 . 38 + 4 . 03 = 15.41
b) 10 + 5 . 41= 15.41
d) 9 . 2 + 6 . 21 =15.41
Therefore, the expressions with sum of 15.41 are A, B and D
If segment BD is congruent to segment BC, BD=5x-26, BC=2x+1, and AC=43, find AB
Answer:Thats a tough one
Step-by-step explanation: Do you need this answer urgently?
a table is on sale for 72% off. the price is $246.40. What is the regular price
Answer:
$68.99
Step-by-step explanation:
This is called percentage decrease:
(100 - 72)% = 28%
246.40 × 28/100
= $68.99
Is 1/2 rational or a not whole interger
Answer:
Every integer is a rational number, numbers like 1/2,and -3/7 are also rational, It is an Rational number
Step-by-step explanation:
- 5у - 25 - - 40
What is y
Is 4/15 and 0.26 equivalent and why
Answer:
no. because if you divide 4/15 you will get 0.266666.....
x+6/4 + x-3/5 = 5x-4/8
Answer:
x = 7/15
Step-by-step explanation:
x + 6/4 + x - 3/5 = 5x - 4/8
x + x - 5x = -4/8 - 6/4 + 3/5
-3x = -2/4 - 6/4 + 3/5
-3x = -8/4 + 3/5
-3x = -2 + 3/5
-3x = -10/5 + 3/5
-3x = -7/5
x = (-7/5)/-3
x = -7/(5*-3)
x = -7/-15
x = 7/15
Check:
7/15 + 6/4 + 7/15 - 3/5 = 5(7/15) - 4/8
14/15 + 6/4 - 3/5 = 35/15 - 2/4
56/60 + 90/60 - 36/60 = 140/60 - 30/60
146/60 - 36/60 = 110/60
how can you find the value of the expression -5 + 12 + 10 - 7
Answer:
-5 +12+10-7
-5+12=7
7+10=17
17-7=10
Answer:
10
Step-by-step explanation:
-5+12+10-7
-12+22=
10
hope it helps!
Graph the solution of this inequality:
3/7 (35x - 14) ≤ 21x/2 + 3
Answer:
I'm terrible at explain so here's a screenshot
- Ripper
Step-by-step explanation:
Answer:
Second line with filled in hole at the two going to the left.
Step-by-step explanation:
For a fundraiser, Jose sold a total of 111 Snickers and Twix bars.
He sold twice as many snicker bars as he sold Twix bars. How many candy bars did he sell of each?
Answer:
hello
Step-by-step explanation:
hello
simplify(1\2)^4 1\16 1\8 1\4
Step-by-step explanation:
(1\2)^4 x 1\16 x 1\8 x 1\4 [1/2^4=16]
1/16 x 1/512
=>1/2048
classify each number below as an integer or not
1) 51
2) 3/4
3) 59
4) 0.96
5) -9/1
Answer:
Integers are whole numbers such as 1, 2, 3 , 4, 5
1) 51 —> will classify as a integer because it’s a whole number
2) 3/4 —> would not classify as an integer because it’s a fraction not a whole number
3) 59 —> will classify as a integer because it’s a whole number
4) 0.96 —> would not classify as an integer because it’s a decimal not a whole number
5) -9/1 —> would not classify as an integer because it’s a fraction not a whole number
Mx-y when m=2,x=7. And y= 5
Answer:
9
Step-by-step explanation:
mx - y (m = 2, x = 7, y = 5)
(2*7) - 5
= 14 - 5
= 9