Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning. Another cleaning company's cost can be calculated using the expression 50 + 75x. Susan wants to know how long each company will have to clean to cost the same amount. Group of answer choices 1 hour 2 hours the will never equal the same 7.5 hours
Answer:
A. 1 hourStep-by-step explanation:
If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;
On equating:
75 + 50x, = 75x + 50
collect like terms'
50x-75x = 50-75
-25x = -25
divide both sides by -25
-25x/-25 = -25/-25
x = 1
hence the number of hours each company will have to clean to cost the same amount is 1 hour
I don’t understand how to get b
Answer:
it is the same as a. 10/4 as b/9. then you cross multiply and you will get b. it is just like a, just with 9 instead of 15 and flipped around
The question just asks “Find QT” pls help
Answer:
QT = 21
Step-by-step explanation:
Because the left section is technically just a extension of the right triangle, the two triangles (PRQ and SRT) are similar, so the ratio between the sides will be similar as well.
The small triangle (SRT) has a ratio of 8/7 between its top side SR (40) and its bottom side TR (35). This means that the top and bottom side of the triangle PRQ will have the same ratio, and since we already known PR (24+40), we can write an equation to solve for QR:
[tex]\frac{SR}{TR} =\frac{PR}{QR} \\\\\\frac{40}{35}=\frac{64}{?}[/tex]
[tex]\frac{8}{7} =\frac{64}{?}[/tex]
64/8=8
This means so get our unknow length, we will need to multiply 7 by 8.
7*8=56
[tex]\frac{8}{7} =\frac{64}{56}[/tex]
This means that the side QR is 56, and since we know TR is 35, we simply need to subtract 35 from 56 to find QT: 56-35= 21
PS and QT also have the same ratio: 24/21 = 8/7 so we know that this is correct.
Hope this helped!
(12 + 22 - 6) - 14 - 22
Answer:
(12 + 22 - 6) - 14 - 22 = ?
Step-by-step explanation:
Since it's in parenthesis, you must do 12 + 22 - 6 first. that will get you to:
28
now that you have found that answer, you can do the rest like this:
28 - 14 - 22
once you do that, you will have a finishing answer of:
-8
*
What do you knw about the domain of a function? *
Derek collects quarters that have the names of the 50 U.S. States on them. He has collected 13 different state quarters in 2.25 months. His grandfather is coming to visit him in 9 months, and he wants to show his grandfather his collection. If he continues collecting quarters at the same rate, will his collection be complete by the time his grandfather visits? Explain your answer.
Answer:
Yes, his collection will be complete by the time his grandfather visits
Step-by-step explanation:
Here, we want to know if his collection would be complete by the time his grandfather visits.
From the question;
he has collected 13 different quarters in 2.25 months
At the same rate, x different quarters will be collected in 9 months
Thus, mathematically;
x * 2.25 = 13 * 9
x = (13 * 9)/2.25 = 52
Thus, at this rate he would have collected 52 quarters in 9 months.
Since he has only 50 to collect, it means his collection would be complete by the time his grandfather visits
∠TUV and ∠VUW are adjacent complementary angles. If m∠TUV=80°, what is m∠VUW?Immersive Reader
(1 Point)
Fast as possible, 100 point
Write an expression for the Product of (x+5)(x-3)
Answer:
I think this could be the answer- x^ +2x-15
A student reads at a rate of 16 pages per day. What is the Ratio of pages to days?
Answer:
16:1
Step-by-step explanation:
16:1 because 16 pages per day
(X+4)(x+7) what’s the problem
Answer:
7=7
Step-by-step explanation:
Answer:
X^2+11x+28
Step-by-step explanation:
FOIL = First, Outer, Inner, Last
First: x times x= x^2
Outer: x times 7= 7x
Inner: 4 times x= 4x
Last: 4 times 7= 28
Since outer and inner are both positive you would add togther. Therefore answer is x^2+11x+28
Robert earned $10, which was 4 less than twice what Eric earned. How much money did Eric earn?
Answer:
(2x-4) + 10
Step-by-step explanation:
U=xk-x, solve for x. Does the x have to be by itself. Or will the answer be u/k=2x
Answer: x=[tex]\frac{U}{(k-1)}[/tex]
Step-by-step explanation:
Isolate x from xk-x that is, factorize x and you have U=x(k-1)
Then divide both sides with (k-1) and you get [tex]x=\frac{U}{(k-1)}[/tex]
Which statement is not true? Geometry
PHOTO ABOVE
Help me:)
Answer:
B isn't true. the angles aren't alternate.
Step-by-step explanation:
Answer:
Wrong answer = The corresponding angles postulate can be used to prove angle 3 is congruent to angle 8.
Step-by-step explanation:
knowledge
382.993 to nearest hundredth
Answer:
382.99
Step-by-step explanation:
An acorn is falling from 13 feet in the air. If it descends 4.8 feet every second, write and solve an equation to determine how long it will take for the acorn to be 1 foot above the ground. please put the equation and answer please.
Using a linear function, it is found that:
The equation that has to be solved is: [tex]-4.8t + 13 = 1[/tex]It takes 2.5 seconds for the acorn to be 1 foot above the ground.--------------------------------
A linear function modeling the height after t seconds has the following format:
[tex]h(t) = at + h(0)[/tex]
In which:
a is the slope, which is the rate of change of the height.h(0) is the initial height.The acorn is falling from 13 feet, thus [tex]h(0) = 13[/tex]It descends at a rate of 4.8 feet every second, thus the slope is negative, that is, [tex]a = -4.8[/tex]The equation for the height after t seconds is:
[tex]h(t) = -4.8t + 13[/tex]
The acorn is 1 foot above ground when: [tex]h(t) = 1[/tex]Thus:
[tex]h(t) = -4.8t + 13[/tex]
[tex]1 = -4.8t + 13[/tex]
[tex]-4.8t + 13 = 1[/tex]
[tex]4.8t = 12[/tex]
[tex]t = \frac{12}{4.8}[/tex]
[tex]t = 2.5[/tex]
It takes 2.5 seconds for the acorn to be 1 foot above the ground.
A similar problem is given at https://brainly.com/question/22881900
please helpppppppppp
Answer: 2⁻²
Step-by-step explanation:
probably
Which function inputs will result in a horizontal stretch of the function f(x) = x? Check all that apply. F f(StartFraction 3 Over two EndFraction x) f(x + 2) f f(StartFraction one-half EndFraction x) f(x – 3.2) f(x) f f(StartFraction 2 Over 3 EndFraction x)
Answer:
The correct options are;
3) f(1/2·x)
5) f(2/3·x)
Step-by-step explanation:
The given parameter is presented here as follows;
f(x) = x
Therefore;
f(x) = y = x
Comparing with the general equation for a straight line, y = m·x + c, we have;
For y = x, m = 1
∴ The slope = 1
1) For f(3/2·x) = y = 3/2·x, the slope, m = 3/2 which is a steeper slope than m=1 and therefore a has more increase in y than in x values or has a vertical stretch rather than a horizontal stretch
2) For f(x + 2) = y = x + 2, the slope, m = 1 which gives an equal slope of m = 1 to the slope in the question, f(x) = x, resulting in no change in stretch
3) For f(1/2·x) = y = 1/2·x, the slope, m = 1/2 which is a gentler slope slope than m=1 as y increase half unit, for each unit increase in x and the function is horizontally stretched
4) For f(x - 3/2) = y = x - 3/2, the slope, m = 1 which gives an equal slope of m = 1 to the slope in the question, f(x) = x, resulting in no change in stretch
5) For f(2/3·x) = y = 2/3·x, the slope, m = 2/3 which is a gentler slope slope than m = 1 as y increase 2/3 unit, for each unit increase in x and the function is horizontally stretched.
Answer:
C, F
Step-by-step explanation:
i took the questions
A direct variation equation has (-2, 4) and (n, -8) as solutions. Find the missing value.
Answer:4
Step-by-step explanation:
distance between (9,6) and (6,10)
Answer: 5
Step-by-step explanation:
Can someone help please !!!!Complete the square for: y = x2 + 12x - 3
a.
y = (x + 6)2 + 33
b.
C.
y = (x + 6)2 – 39
y = (x + 6)2 – 9
y = (x - 62 – 39
d.
Answer:
C. y=(x+6)^2-9
Hope this helps!
i honestly don't get this
Which graph represents the absolute value of –3? A number line going from negative 5 to positive 5. The distance from negative 3 to 0 is labeled 3. A number line going from negative 5 to positive 5. The distance from 0 to 3 is labeled negative 3. A number line going from negative 5 to positive 5. The distance from negative 3 to positive 3 is labeled 6. A number line going from negative 5 to positive 5. The distance from negative 3 to 3 is labeled negative 6.
Answer:
ITS A
Step-by-step explanation:
The number line that will represent the absolute value will be-
the distance from negative 3 to 0 is labeled 3.
What is absolute value of a number?The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.
We have a graph represents the absolute value of –3.
For a number [x], such that [x] < 0, the absolute value would be -
v[a] = -x
So, for x = -3, the absolute value would be 3.
The number line that will represent the absolute value will be -
The distance from negative 3 to 0 is labeled 3.
Therefore, the number line that will represent the absolute value will be-
the distance from negative 3 to 0 is labeled 3.
To solve more questions on number line, visit the link below-
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There were 400 people at the theater. One-eighth of the people left at intermission. How many stayed? How many left?
3.26 x10^4 what is the standard notation?
Answer: 32600
Step-by-step explanation:
3.26x10^4 evaluate the power
3.26x10000 multiply the numbers
ANSWER 32600
(30 POINTS)
Find the outside perimeter of the kite below.
Show your work here:
Final Answer:
Answer:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {b}^{2} = {c}^{2} - {a}^{2} [/tex]
[tex] {b}^{2} = {26}^{2} - {10}^{2} [/tex]
[tex] {b}^{2} = 676 - 100[/tex]
[tex] {b}^{2} = 576[/tex]
[tex] \sqrt{ {b}^{2} } = \sqrt{576} [/tex]
[tex]b = 24[/tex]
p = 10+10 +24+24
p= 68
At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. In the first business hour of the day, less than $12 worth of hot dogs and water were sold.
Which are reasonable solutions for this situation if x represents the number of hot dogs sold and y represents the number of bottles of water sold? Check all that apply.
(–1, 5)
(0, 6)
(2, 1)
(1, 1.5)
(1, 3)
(2, 2)
Answer: (2,1) (1,3)
Step-by-step explanation:
Answer:
Its C and E
Step-by-step explanation:
I got it right
Planes M and N intersect. Can a line that lies in plane M be parallel to a line in plane N?
Answer: NO
Step-by-step explanation: if the two lines intersect none of the points should be parrelle.
Answer:
No
Step-by-step explanation:
Parrallel means nothing touches it and it is at the same angle as the second line. You already say they touch so No.
help me please NEOWdnsnemememk
Answer:
the range is 7 the domain is 550
Step-by-step explanation:
I took the test. and also its simple math. multiplay the semtac by the range! Mark as brain list!
Please select the best answer from the choices provided
A
B
C
D
Answer:
The answer is 2 which means A
Find the value of r so the line that passes through each pair of points has the given slope.
(5, 9), (r, –3), m = –4
The value of r is 8 for the points to have a slope of -4.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is also defined as the ratio of the rise and the run.
The slope is calculated by the formula below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the points are (5, 9) and (r, –3) and the slope is -4. The value of the unknown number will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
-4 = ( -3 - 9) / ( r - 5 )
-4r + 20 = -12
-4r = -32
r = 32 / 4
r = 8
Therefore, the value of r is 8 for the points to have a slope of -4.
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