Answer: 2 meters.
Step-by-step explanation:
Let w = width of the cement path.
Dimensions of pool : Length = 15 meters , width = 9 meters
Area of pool = length x width = 15 x 9 = 135 square meters
Along width cement path, the length of region = [tex]2w+15[/tex]
width = [tex]2w+9[/tex]
Area of road with pool = [tex](2w+15) (2w+9)[/tex]
[tex]= 4w^2+30w+18w+135\\\\=4w^2+48w+135[/tex]
Area of road = (Area of road with pool ) -(area of pool)
[tex]\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2[/tex]
width cannot be negative, so w=2 meters
Hence, the width of the road = 2 meters.
Rewrite the expression −7/8 − 2 1/4 as the sum of two numbers.
Answer:
-3 1/8.
Step-by-step explanation:
−7/8 − 2 1/4
= -7/8 + -9/4
= -7/8 - 18/8
= -25/8
= -3 1/8.
Rochelle knows that the music on her computer is stored in the form of numbers. Which hardware component processes these numbers into a form that her speakers can play as music?
control unit
random access memory
monitor
ALU
Answer:
ALU: arithmetic logic unit
Step-by-step explanation:
ALU is the part of a computer processor (CPU) that carries out arithmetic and logic operations on the operands in computer instruction words
There are nine different positions on a baseball team. If a team has 17 players how many different line-ups can the team make? (Assume every player can play every position.) The team can make different line-ups. Baseball games consist of nine innings. A team wants to change its line-up every inning. If no game goes to extra innings, and a season consists of 147 games, how many complete seasons can the team play without repeating a line-up? The team can play complete seasons without repeating a line-up. (Your answer should be an integer.)
Answer:
A) 24310
B) 18 seasons
Step-by-step explanation:
A) We are given the team has 17 players and there are 9 different positions in the team.
This is a combination question and thus, the number of different line-ups the team can make is;
C(17, 9) = 24310
B) We are told the basketball games consists of 9 innings.
Thus,
Number of games you can fill = 24310/9 = 2701.1111
And then we are told a season consists of 147 games.
Thus;
Number of complete seasons can the team play without repeating a line-up =
2701.1111/147 ≈ 18 seasons
Answer:
a
Step-by-step explanation:
find the end point m
Evaluate
5 + 3x for x = -3
I need help on this
[tex]\text{Hello! :)}[/tex]
[tex]\large\boxed{-4}[/tex]
[tex]\text{Substitute in -3 for "x" in the equation:}[/tex]
[tex]5 + 3(-3) = \\\\5 + (-9) = \\\\5 - 9 = -4[/tex]
Someone help me solve this plz
Answer:
Slope of it is 6
Step-by-step explanation:
Slope is on the graph going up to the 6 and then to the 4
a 2-pack of frozen burritos costs 2.32.what is the unit price ?
In a sample fruit basket, there are 2 apples for every 3 oranges.
To make a large fruit basket with the same ratio using 20 apples, how many oranges are needed?
Help me please?!
Answer:
B 32
Step-by-step explanation:
30 oranges would be required to maintain the same ratio with 20 apples.
Solving linear equation.In the example fruit basket, there are 2 apples for every 3 oranges, based on the provided ratio.
We must establish a proportion in order to determine how many oranges are required to keep the same ratio with 20 apples.
Let "x" stand for the required quantity of oranges.
The ratio can be configured as follows:
20 apples/x oranges = 2 apples/3 oranges.
Cross-multiplication allows us to find the value of "x":
3(20) = 2x
2x = 60
x = 30
As a result, 30 oranges would be required to maintain the same ratio with 20 apples.
Learn more on linear expression here: https://brainly.com/question/2030026
#SPJ2
A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earnings the cupcake shop earns in 5 days.
The correct answer is $4750
Explanation:
If the money earned varies directly with the number of days, this means one factor makes increase the other. In other others, the more days, the higher the earnings. Moreover, the total earnings can be calculated by multiplying the amount earned in one day ($950) by the total days (5). The process is shown below.
Total earnings = Amount earned by day x days
Total earnings= 950 ×5
Total earnings= $4750
The temperature in degrees Celsius c can be converted to degrees Fahrenheit f using the equation
Answer:
(0°C × 9/5) + 32 = 32°F
Thats the formula!
Hope this helps!! :)
MO bisects LMN mLMN = 8x-23 and mLMO= 2x+37 solve for x and find LMN
Answer:
see explanation
Step-by-step explanation:
Since MO bisects ∠ LMN then
∠ LMO and ∠ NM0 are congruent, thus
∠ LMN = ∠ LMO + ∠ NMO , substitute values
8x - 23 = 2x + 37 + 2x + 37 = 4x + 74 ( subtract 4x from both sides )
4x - 23 = 74 ( add 23 to both sides )
4x = 97 ( divide both sides by 4 )
x = 24.25
Thus
∠ LMN = 8x - 23 = 8(24.25) - 23 = 194 - 23 = 171°
Find the midpoint of the line segment with the given endpoints (-3,1 -2,8) (-4.92,-3.3)
Answer: (4.01, -3.05)
Step-by-step explanation:
Use the midpoint formula (x1+x2/2,y1+y2/2)
-3.1 + -4.92 /2 =4.01
-2.8 + -3.3 /2 = -3.05
(4.01, -3.05)
what is 5/6 divided by 5/9
Answer:
1 and 1/2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
1.5 as a decimal
1 1/2 as a fraction
Each side of a regular pentagon is m+10 inches. The formula for finding the perimeter of the pentagon is shown below.
Answer:
5m+50
Step-by-step explanation:
since it's regular all sides are equal
it's have 5 sides of m+10
[tex]P=5(m+10)\\\\P=5m+50[/tex]
The baker fits 26 rolls onto a pan that measures 1 5/ 8 ft.² how many square feet does the Baker use for each roll? Show your work.
Answer:
1/16ft²
Step-by-step explanation:
If 26 rolls fits into 1 5/8 ft² pan, then for us to get the number of square feet for each roll, we will fillw the steps;
26rolls = 1 5/8ft²
1 roll = xft²
26 rolls = 13/8 ft²
1roll = xft²
Cross multiply
26×x = 1×13/8
26x = 13/8
Ceoaa multiply
26x×8 = 13
208x = 13
x =13/208
x = 1/16 ft²
Hence the baker uses 1/16ft² for each roll
What is the value of n?
Answer: 3 cm
Step-by-step explanation:
Set up a proportion to find the value of n. 4/8 = n/6Cross multiply. 8x = 24Divide 8 on both sides. x = 36.204 = 6 + 0.2+ ? What is it?
Answer:
0.004
Step-by-step explanation:
6.204 = 6 + 0.2 + 0.044.
The answer is 0.004.
Eight less than four times a number is less than 56. What are the possible values of that number?
X>12
X<12
X<16
X>16
Answer:
4x-8<56
4x<64
x<16
Answer:
hu
Step-by-step explanation:
j
-5(5 – 2x) = -95
show work and all steps please
Answer:
x = -7
Step-by-step explanation:
See the photo attached.
7. Chantel Monroe charges $3.75 per page for typing rough drafts and an
additional $0.50 per page for changes and deletions. A manuscript had
212 pages, of which 147 pages had changes and deletions. What was
the total cost of typing the manustript?
answer
212 - 147 = () times 3.75
147 × 4.25 =
add them together and that's the total amount
How do I isolate R?
S = (HR(Wi - Wn)) / 1000.
First, multiply both sides by 1000.
1000S = HR(Wi - Wn)
Divide bot sides by H(Wi - Wn)
(1000S) / H(Wi - Wn) = R
can somebody help me !
Answer:
angle 1
Step-by-step explanation:
all others are congruent
Express the ratio BC/EF in simplest form
Answer:
bc/ef =48/32
divide by 16 you will get
3/2
Step-by-step explanation:
Add a taco truck, Jeffrey ordered 3 pork tacos and 2 steak tacos. If p represents the cost of a pork taco, and s represents the cost of a steak taco, write an expression that represents the total cost of the order.
Answer:
3p + 2s = c
Step-by-step explanation:
He ordered 3 pork tacos so it would be 3 times p and he ordered 2 steak tacos so it would be s times 2
Answer:5 is the answer
Step-by-step explanation:
3p+2s+5
What is 128,073 to the nearest thousand
18/42=X/14 solve the proportion
Answer:
x = 6
Step-by-step explanation:
The ground temperature at Brigham Airport is 17 °C. The temperature decreases by 4.9 °C for every increase of 1 kilometer above the ground. What is the
temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
should be -7.5
Step-by-step explanation:
4.9×5=24.5
17-24.5=-7.5
Rey is considering buying shares of TWA stock. The stock currently sells for $50 per share. The stock changes in value at 9:00 am each day, either increasing in value by $11 or decreasing in value by $13. The stock will increase in value with 40% probability, and decrease in value with 60% probability. The stock follows a random walk. In two days, what is the probability that the TWA stock is greater than $30
Answer: 64%
Step-by-step explanation:
Given the following :
Current price of stock = $50
Probability of increase per day = 40% = 0.4
Probability of decrease = 60% = 0.6
Value of increase = $11
Value of decrease = $13
Probability that stock is greater than $30 in two days :
For stock to be greater than $30 in two days ;
It either increases in both days or increases in a day and falls the other
Hence, probability that stock is greater than $30
P(increase and increase) OR P(increase and decrease) OR P(decrease and increase)
(0.4 × 0.4) + (0.4 × 0.6) + (0.6 × 0.4)
0.16 + 0.24 + 0.24 = 0.64
0.64 × 100 = 64%
Can somebody explain to me how to solve this problem? I'm confused
Step-by-step explanation:
g(x) = f(2x), so g(x) is f(x) compressed by a factor of 2.
So if the domain of f(x) is [1, 5], then the domain of g(x) is [1/2, 5/2].
What decimal number is illustrated?
Answer:
0.28
Step-by-step explanation: