By factorizing the expression, 4x² + 40x - 44, the width of the path (x) is calculated as: 11 meters.
How to Factorize an Expression?To factorize an expression, such as 4x² + 40x - 44, we need to determine the two factors that will give us -176 when multiplied, and also give us 40 when added.
To find the width of the path, x, we need to factorize 4x² + 40x - 44, using the two factors, 4 and -44.
4x² - 44x + 4x - 44
(4x² - 44x) + (4x - 44)
4x(x - 11) + 4(x - 11)
(x - 11)(4x + 4) = 0
x = 11 or x = -4/4 = -1
The value of the width of the path, x, cannot be negative. Therefore, the width of the path would be: 11 meters.
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I need HELPPPPplsssssssssss
Answer:
I have attached a picture of the completed graph.
The equation is k = r + 7
Kyle will be 59 when Ryan is 52.
Explanation:
Kyle's age is always seven years higher than Ryan's age.
Therefore, k (Kyle's age) = r (Ryan's age) + 7 (Number of years different)
Can someone help me with this?
Answer:
f (g(x)) = 1/x - 2
Step-by-step explanation:
Given :
f(x) = 1/xg(x) = x - 2To Find :
f (g(x))Solving :
f(x - 2) = 1/x - 2f (g(x)) = 1/x - 2Graph
what is this it hard
Answer:
supply and demand
Step-by-step explanation:
The midpoint of CD is M=(5,0). One endpoint is C=(2,5). Find the coordinates of the other endpoint, D
how to copy and paste
Answer:
control + C then Control + V
Step-by-step explanation:
Answer:
If you have a PC, press Windows, Print Screen.
Step-by-step explanation:
Hope this helps..
Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?
the customer spent $13 if it's not 13 it's the closest answer too 13
Answer:
$0.85, or 85 cents.
Step-by-step explanation:
To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.
Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.
How do you find the arc length of the partial circle?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times \dfrac{3 \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 6\pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 6\times 3.14 = 18.84 \: \: units\dfrac{ }{} \: \: [/tex]
So
Arc length
L=r[tex]\theta[/tex]L=4(3π/2)L=2(3π)L=6πL=18.8unitsGas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 310 miles on 10 gallons of gas. How far could you drive on 70 gallons of gas? What is the car’s gas mileage?
Answer:
i) Gas mileage = 31 miles
ii) 2170 miles = 70 gallons
Step-by-step explanation (i):310 miles on 10 gallons of gas.
⇒ 310 miles = 10 gallons
⇒ 310/10 miles = 10/10 gallons
⇒ 31 miles = 1 gallon
Gas mileage = 31 miles
Step-by-step explanation (ii):⇒ 31 miles = 1 gallon
⇒ 31 x 70 miles = 1 x 70 gallon
⇒ 2170 miles = 70 gallons
Please check if I’m right or not!
Answer:
1, 3, and 4 are CORRECT
2 is wrong.
Step-by-step explanation:
In #2
-9(x + 4) Multiply by using distributive property. The -9 must be multiplied to both the terms in the parenthesis.
so you should get:
-9x - 36
a hot air balloon is currently 100 feet above the ground. After 5 minutes, the hit air balloon is 40 feet above the ground. write the equation for the relation
Here is the Answer:
Step-by-step explanation:
4. A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair c to the number of hours, h, it takes the
plumber to fix the leak? Show work
Answer:
c = 65h.
Step-by-step explanation:
cost = rate per hour * hours worked:
c = 65 * h .
Find the area of each figure.
20 points
Answer:
purple shape= 1824 inches squared
For the green rhombus:
Answer: 3 ft^2
Explanation:
you can add a line HA to split the rhombus into two triangles
Area of each triangle
= (2 x 1.5) / 2
= 1.5 ft^2
As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2
Kalvin's sister Kate finds yet another way for him to pick his
breakfast. She places one blue marble and one red marble in each
of two bags. She says that each morning he can choose one marble
from each bag. If the marbles are the same color, he eats Cocoa Blast.
If not, he eats Health Nut Flakes. Explain how selecting one marble
from each of the two bags and tossing two coins are similar.
Answer:
The probability of each is 50-50.
Step-by-step explanation:
With the marbles, there are four different outcomes: red-blue, blue-red, red-red, and blue-blue. Because one outcome is for same colors and the other is different colors, the probability of either is 2/4, or 1/2, or 50%. This is the same as tossing a coin. Hope this helps!
LOTS OF BRAINLY POINTS HELP ASAP PLS TYSM
you are flipping a coin and you flip tails 3 out of 10 times you flipped the coin. what is the experimental probability that you flip a tails. express your answer as a simplified fraction.
Answer:
3/10
Step-by-step explanation:
So, you already have the experimental probability. The theoretical probability is 5/10, but that's not what you're lookig for.
the pizza order changed to a 14-inch pizza from a ten-inch pizza. Approximately how much did the area change after the change in diameter?
a. 4 square inches
b. 24 square inches
c. 25 square inches
d. 96 square inches
B.)
Step-by-step explanation:
area of a 10 inch pizza: A=pi * r^2 = 25 pi
area of a 14 inch pizza : A= 49 pi
the change : 49pi - 25pi = 24 pi or about 75.39822
which of the following groups of angles can be trisected using only a compass and straightedge
Answer:
C. ALL ANGLES GREATER THAN 180
find the solution of this system of equation
-x-4y=-37 "-2x-5y=-53"
Answer:
(x, y) = (9, 7)
Step-by-step explanation:
There are numerous ways to find the solution to a system of equations. A quick and easy one is to use a graphing calculator. The attachment shows the solution to be ...
(x, y) = (9, 7)
__
You can also look for opportunities to do substitution or elimination. Here, the x-coefficients differ by a factor of 2, so it is convenient to subtract twice the first equation from the second. This eliminates the x-variable.
(-2x -5y) -2(-x -4y) = (-53) -2(-37)
3y = 21 . . . . . . simplify
y = 7 . . . . . . . . divide by 3
-x -4(7) = -37 . . . . . substitute into the first equation
-x = -9 . . . . . . . . . . . add 28
x = 9
The solution is (x, y) = (9, 7).
A purple marker costs 1 dollar and 82 cents. Paul pays for it with two $1 bills. He gets 5 coins back in change. What are the 5 coins?
Answer: Those coins are 5 pennies
Step-by-step explanation:
how to simplify 8 + ( -6 ) + 4
Answer:
6
Step-by-step explanation:
[tex]8-6+4[/tex]
[tex]2+4\\6[/tex]
Write the equation of the line that passes through the points (-2, 3) and (-2,5).
A. Y=1/2x+1
B. X=-2
C. Y=-2
D. Y=5
Answer:
Answer is B. X=-2
Step-by-step explanation:
I just used the slope formula and slope-intercept y = mx + b to find the equation
A fundraising company sells 219 tickets to an event. Each ticket costs $27. How much money
does the company make on ticket sales in all?
Answer:
=$5,913
Step-by-step explanation:
219 times 27
= 5913
a sector of a circle has a central angle measure of 60°, and an area of 14 sq inches, what is the area of the entire circle
Answer:
area of entire circle = 84 in²
Explanation:
[tex]\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector[/tex]
===========
[tex]\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14[/tex]
[tex]\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}[/tex]
[tex]\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }[/tex]
[tex]\sf \rightarrow r = 5.17\ in[/tex]
Area of circle:
[tex]\sf \pi r^2[/tex]
=====
[tex]\hookrightarrow \sf \pi (5.17)^2[/tex]
[tex]\hookrightarrow \sf 84\ in^2[/tex]
Drag and drop the angle pairs to correctly match their
description
vertical angles
complementary
angles
supplementary
angles
adjacent angles
that are neither
complementary nor
supplementary
What are you dragging so I can help?
Two customers took out car loans from a bank. marcus took out a 5-year loan for $10,000 and paid 4.7% annual simple interest. gianna took out a 6-year loan for $10,000 and paid 4.5% annual simple interest. what is the difference between the amounts of interest marcus and gianna paid for their car loans? question 2 options: $500 $400 $450 $350
if a certain number is added to the denominator of the fraction 3/5 and 7 is added to the numerator, the result is a fraction that will reduce to 1/2. what number is added to the denominator? let x = the number added to the denominator
Answer:
X=15
Step-by-step explanation:
First add 7 to the 3(numerator)=10. Since anything equivalent to half is half of the denominator, the denominator needs to be 20. 20-5=15. So, X=15
Answer:
Step-by-step explanation: X=15
Four eggs are required to make two duzzen muffins. how many eggs are needed to make 5 dozen muffins
Answer:
20 eggs
Step-by-step explanation:
4 = 24 muffins
4*5 = 20
20 = 60 muffins
Good Luck!
the number in this sequence increase by 40 each time. 30 70 110 115... the sequence is continued with the same rule. Which number in the sequence will be the closest to 300
Answer:
310
Step-by-step explanation:
150,190,230,270,310
hope this helps!
Thrice a number subtracted from 10?
Answer:
10-3x
Step-by-step explanation:
let the number=x
thrice the number becomes 3x
33.
The number of people who voted for the Green Party in an election was 1500.
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in the form 1:n
Answer:
1:6
Step-by-step explanation:
=> 1500/9000
=> 1/6 [ the hcf is 1500]
=> 1:6
please answer this inequality question
