Answer:
15
Step-by-step explanation:
pretty sure bc they are supposed to be the same/ a reflection of each other and 4 times 15 is 60
Cynthia Besch wants to buy a rug for a room that is 29 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 756 square feet of carpeting. What dimension should the rug have?
Answer:
Dimensions of rug:
Length = 28 ft
Width = 27 ft
Step-by-step explanation:
The given dimensions of the room is:
Length = 30 ft
Width = 29 ft
Area of carpeting = 756 sq ft
Kindly refer to the attached image.
Let the uniform strip around floor is of length = [tex]x[/tex] ft
This [tex]x[/tex] feet will be 2 times along the length and
2 times along the width of room.
So, length of rug = 30 -2 [tex]\times[/tex] [tex]x[/tex] and
Width of rug = 29 -2 [tex]\times[/tex] [tex]x[/tex]
It will be rectangular in shape.
Area of a rectangle is given as:
[tex]A = Length\times Width[/tex]
[tex]756 = (30-2x) (29-2x)\\\Rightarrow 756 = 870 - 118x+4x^2\\\Rightarrow 4x^2-118x+114=0\\\Rightarrow 2x^2-59x+57=0\\\Rightarrow 2x^2-57x-2x+57=0\\\Rightarrow x =1, -\dfrac{57}{2}[/tex]
Negative length not possible.
So,Length of strip, [tex]x = 1\ ft[/tex]
Dimensions of rug:
Length = 30 -2 = 28 ft
Width = 29 -2 = 27 ft
1st answer gets brainliest what is 17/12 + 11/12
Answer:
7/3
Step-by-step explanation:
17/12+11/12
28/12
=>7/3
How many solutions are there to the equation below? -46 = 3x + 7 x
Answer:
One
Step-by-step explanation:
7x+3x= - 46
10x= - 46
x= - 4.6
one answer
3) A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients. A) 34 clients B) 41 clients C) 73 clients D) 36 clients
Answer:
A) 34 clients
Step-by-step explanation:
From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:
75*45%= 33.75→ 34
According to this, the answer is that the number of business clients is 34.
A book store sells 10 cookbooks, 18 novels, and 25 children's books on
Saturday. The store sells 6 cookbooks, 12 novels, and 15 children's books on
Sunday. Which ratio is the smallest?
A. Number of novels to children's books sold on Sunday
B. Number of cookbooks to novels sold on Sunday
O C. Number of cookbooks to novels sold on Saturday
D. Number of novels to children's books sold on Saturday
Answer: d
Step-by-step explanation:
A = 18:25 = 1:1.39
B = 6:12 = 1:2
C = 10:18 = 1:1.8
D = 12:15 = 1:1.25
The smallest ratio is D.
sorry if it's wrong!
Answer:
Step-by-step explanation:
A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the
function f(x) = - x4 + 3x3 + 5x2 + 20x + 1.
What is the least number of bouquets that must be sold for the store to make a profit?
3
4
5
6
Answer:
5
Step-by-step explanation:
Edgunity
Answer:
5 C
Step-by-step explanation:
even though the zeros are .401 and 4.819 its a real world problem and would only make sense to round. Once u round you have 1 and 5, and since 5 is greater, it must be 5.
If y = 21, when x = 7, find y when x = 28.
Answer:
84
Step-by-step explanation:
x=7 x=28
y=21 y=84
is simple ratio problem
Answer:
Answer: y = 21
Answer: y = 21 when x = 7
Answer: y = 21 when x = 7so x = 28
Answer: y = 21 when x = 7so x = 28 then y = 84
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4
Answer: y = 21 when x = 7so x = 28 then y = 84Step-by-step explanation:y = 84 = 21 × 4x = 28 = 7 × 4
can y’all please help meeeee
i would really appreciate it :)
Answer:
its 10
Step-by-step explanation:
Answer:
[tex]f^{-1}[/tex](x) = (x - 2)² - 6
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )
y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )
(y - 2)² = x + 6 ( subtract 6 from both sides )
(y - 2)² - 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = (x - 2)² - 6
What percent of 2434 is 17?
a 17.0%
b 0.7%
c 14,317.6%
d 7.0%
Answer:
b.) 0.7%
best of luck!
Simplify the problem using the distributive property.
2(3x-5)
4- 3(x+1)
Answer:
2(3x−5)(4)−3(x+1)
Distribute:
=24x+−40+(−3)(x)+(−3)(1)
=24x+−40+−3x+−3
Combine Like Terms:
=24x+−40+−3x+−3
=(24x+−3x)+(−40+−3)
=21x+−43
Answer:
=21x−43
2(3x-5)
6x-10
4-3(x+1)
4-3x+1
-3x+1+4
-3x+5
6x-10-3x+5
6x-3x+5-10
3x-5
hope it helps!
Evaluate each expression. y − z + xz ÷ 6; use x = 3, y = 4, and z = 4
determine the domain and the range of the relation.
(-3,1), (4,2), (-3,6), (5,6)
Answer:
Domain (-3, 4, 5)
Range (1, 2, 6)
Step-by-step explanation:
Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).
Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).
So, basically you just look at all the number that come first so say you have
(1,2), (2,3), (3,4)
Your first numbers to each point are (1, 2, 3) which is your Domain
then look at the second number which are (2, 3, 4) which is your Range.
Hope this helps!
If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.
Hi
7 = 14.70
15= X
so : X = 15*14.70 /7 = 31.5
15 liters of petrol cost 31.5
The cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50
To calculate the cost of 15 liters of petrol if 7 liters of petrol cost $14.70,
First, we will determine the cost of 1 liter of petrol.
From the question,
7 liters of petrol cost $14.70
That is,
7L = $14.70
Then,
1 L = $14.70 ÷ 7
1 L = $2.10
∴ The cost of 1 liter of petrol is $2.10
Now, for the cost of 15 liters of petrol, we will multiply the unit price ($2.10) by 15
That is,
The cost of 15 liters of petrol = 15 × $2.10
∴ The cost of 15 liters of petrol = $31.50
Hence, the cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50
Learn more here: https://brainly.com/question/23804367
If 17% of gummy bears are red then how many red gummy bears will be red out of 300?
Answer: 51
Step-by-step explanation:
17% of 300 is 51
300 x .17 =51.
Solve for x. Show steps.
1. 3x = 2x + 2
2. 3x + 5 = 4x + 1
3. 6x + 3 = 3x + 12
Answer:
1: x=2, 2: x=4, 3:x=3
Step-by-step explanation:
They are correct because i checked them
angle a measure 28 measure and angle b measure 74 what is is the measure of angel F
Answer:
78 degrees
Step-by-step explanation:
Assuming you are talking about a triangle, you would add 28 and 74 to get 102. Then subtract from 180.
28+74=102
180-102=78
Hope this helps :-)
Answer:
Assuming these are angles of a triangle, angel F should equal 78.
Step-by-step explanation:
All angles of any triangle add up to 180 degrees. 180-28-74=78.
An airline charges $150 for a ticket and $20 for each bag. Which equation shows the relationship between the number of bag, b , and the total cost, c , for flying with this airline?
Answer:
c = 150 + 20b
Step-by-step explanation:
Given:
Ticket charges = $150
Each bag carry cost = $20
Find:
Relationship between bag(b) and cost(c)
Computation:
⇒ Total cost = Ticket charges + $20(number of bags)
⇒ c = 150 + 20(b)
⇒ c = 150 + 20b
I need help what is 3+2x^3 when x=2
what is the answer (2x + 6) = c
Answer:
X=3
C=12
Step-by-step explanation:
(2x+6)=c
2x+6
x=2/6
x=3
2x3+6=c
c=12
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x= c/2-3
4(3x-1) = 5x+66 show all of your work
For a right triangle with coordinates (1,4),(4,4),(1,8), explain why both the distance formula and the Pythagorean Theorem can be used to find the length of the hypotenuse.
The pizza you ordered for your party has been split into 12 even slices. Every slice has either
pepperoni, chicken, or sausage. If 1/3 of the pie has pepperoni, and 2/4 of the pie has chicken, how many
SLICES of the pie have sausage?
Answer:
2 slices of pizza is sausage
Step-by-step explanation:
1/3 of pizza is 4 slices(pepperoni)
2/4 of pizza is 1/2 which is 6(chicken)
There are 12 slices in all so 12-(6+4) = 2 sausage
5x - 9 = 7x + 6 - 2x
Answer:
Step-by-step explanation:
5
x
−
9
=
7
x
+
6
−
2
x
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
7
x
+
6
−
2
x
=
5
x
−
9
Subtract
2
x
from
7
x
.
5
x
+
6
=
5
x
−
9
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
6
=
−
9
Since
6
≠
−
9
, there are no solutions.
No solution
Answer:
x=15
Step-by-step explanation:
5x-9=7x+6-2x
7x-2x=5x
5x-9=5x+6
5x-5x=x
x-9=6
9+6=15
x=15
A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? I have already learned that the one removed is (4,1) A relation is given below. {(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)} Which ordered pair can be removed to make this relation a function? Why would removing this ordered pair make the relation a function? this not inout and out can not be the same
Answer:
The first one is 4,1 and then every input must be paired with exactly one output
Step-by-step explanation:
Answer:
The first one is 4,1 and then every input must be paired with exactly one output
Step-by-step explanation:
The ratio of yellow to blue skittles in a bag is 5:9. If there are 12 more blue skittles in the bag than yellow skittles, how many yellow skittles are in the bag?
Answer:
The number of yellow skittles in the bag is 15 yellow skittles
Step-by-step explanation:
The ratio of yellow to blue skittles in the bag is 5:9
The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag
From the ratio of yellow to blue skittles in the bag, we have;
Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14
Fraction of the total skittles that are blue = 9/14
Whereby placing the number of yellow skittles as Y, and the number of blue skittles as B we have;
The number of blue skittles = Y + 12
The total number of skittles = Y + Y + 12 = 2·Y + 12
Whereby the fraction of the total skittles that are blue = 9/14, we have
9/14 × (2·Y + 12) = Y + 12
9 × (2·Y + 12) = 14 × (Y + 12)
18·Y + 108 = 14·Y + 168
18·Y - 14·Y = 168 - 108 = 60
4·Y = 60
Y = 60/4 = 15
∴ The number of yellow skittles in the bag = 15
The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.
What is the final point of (-2,1) Up 4, right 6 then reflect across the x-axis
Order these numbers from least to greatest. 37.5%, 1/3, 0.3, 40%, 3/5.
Answer:
0.3, 1/3, 37.5%, 40%, 3/5Step-by-step explanation:
Given the numbers 37.5%, 1/3, 0.3, 40%, 3/5, before we can order the numbers from the least to greatest, we need to first express al the values in percentage.
For 1/3;
= 1/3 * 100
= 100/3
= 33.3%
For 0.3:
= 0.3 * 100
= 3/10*100
= 30%
for 3/5;
= 3/5 * 100
= 300/5
= 60%
Hence the numbers in percentage are . 37.5%, 33.3%, 30%, 40%, 60%
The values from the least to the greatest in terms of percentage is 30%, 33.3%, 37.5%, 40%, 60%
In term of the given values from least to greatest is;
0.3, 1/3, 37.5%, 40%, 3/5
if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?
Answer:
If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.
Hope this helps!
HELP ME PLEASE!!
The cross section area of a brick wall that is shaped as
right-angled triangle is 12m² and the height is 6 metre.
Calculate the gradient and the area of the slanted surface
of the stone wall.
Answer:
14.42 m²
Step-by-step explanation:
h = 6 mS = 12 m²S = 1/2bh ⇒
b = 2S/h = 2*12/6 = 4 mGradient:
√(6²+4²) = √52 = 7.21 mArea of slanted surface:
7.21 m* 2 m = 14.42 m²Answer:
14.42 m²
hope it helped:D
what is the answer to a0 + (-7) = 3
Answer:
a0 = 10
Step-by-step explanation:
We simply want to isolate the variable, a0, so we can find the value in which satisfies this equation:
a0 + -7 = 3
a0 + -7 + 7 = 3 + 7
a0 = 10
Cheers.