A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.
In the system of equations, x represents the, _____and y represents the_____.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.
The total cost of 1 car and 1 SUV is $_____.
The total earnings for hour 3 are $______.
The missing part of the picture is:
4x + 2y = 84
3x + 5y = 126
Answer:
see below
Step-by-step explanation:
In the system of equations, x represents the, price to wash a car and y represents the price to wash an SUV.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are the price of the car wash (x) and the price of the SUV wash (y)______.
x=12 and y = 18
x+y = 12+18 = 30
The total cost of 1 car and 1 SUV is $_30____.
5x+4y = 5(12)+4(18) = 60+ 72 =132
The total earnings for hour 3 are $_132_____.
Answer:
x: cost of 1 car wash
y: cost of each SUV wash
(12,18)
The total cost of 1 car and 1 SUV is $30
The total earnings for hour 3 are $132
Step-by-step explanation:
4x + 2y = 84
y = 42 - 2x
3x + 5y = 126
3x + 210 - 10x = 126
7x = 84
x = 12
y = 42 - 2(12) = 18
1 car and 1 SUV
12 + 18 = 30
For 3 hours:
5x + 4y
5(12) + 4(18)
132
Solve: x(squared) = 5x - 6
A. 3, 2 B. -3, -2 C. (x – 3)(x – 2) D. no solution
Answer:
x=-3 x=-2
Step-by-step explanation:
x^2 = 5x-6
Subtract x^2 from each side
x^2 - x^2 = -x^2 -5x-6
0 = -x^2 -5x-6
0 =-(x^2 +5x+6)
Factor
0 = (x+3)(x+2)
Using the zero product property
0=x+3 0=x+2
x=-3 x=-2
Write and solve an equation to find the value of x. PLSS HELP
Answer & Step-by-step explanation:
Vertical angles are congruent meaning that these two angles are going to have the same measurement. Since we know this, then we can set up an equation where one angle is equal to the other.
x + 10 = 55
Subtract 10 on both sides of the equation.
x = 45
So, the value of x is 45.
What are the rules of simplifying exponents?
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Step-by-step explanation:
Find the area. Will mark brainliest.
Answer:
337.5
Step-by-step explanation:
You need to add 10 to the height then multiply 25 times 27 then divide by 2.
Hope this helps.
Answer:
212.5 cm² and 120 in²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
(4)
Here b = 25 and h = 17, thus
A = 0.5 × 25 × 17 = 212.5 cm²
(5)
Here b = 12 and h = 20, thus
A = 0.5 × 12 × 20 = 6 × 20 = 120 in²
just some math :> and meh needs halp
Answer:16
Step-by-step explanation:
5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six
The quantities x and y are proportional.
x y
2 22
7 77
9 99
Find the constant of proportionality (r) in the equation: y = rx
r = ?
Thanks :)
Answer:
r = 11
Step-by-step explanation:
Given
The above table
y = rx
Required.
Find the constant of proportionality.
To find the constant of proportionality, we simply test the values of y and x in the given formula.
Using y = rx
Make r the subject of formula by dividing both sides by x
y/x = rx/x
y/x = r
r = y/x
From the above table of data;
When x = 2, y = 22
So, r = 22/2
r = 11
When x = 7, y = 77
So, r = 77/7
r = 11
When x = 9, y = 99
So, r = 99/9
r = 11
Notice that r maintains the value of 11 all through.
Hence, the constant of proportionality, r for the above data is 11
Answer:
r = 11
Step-by-step explanation:
khan
Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.
What is the volume of the composite figure? Express the answer in terms of π.
144π mm3
168π mm3
312π mm3
456π mm3
Answer:
312π mm3
Step-by-step explanation: yes
The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct
The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.
Volume is defined as the ratio of the mass of an object to its density.
Volume of composite figure = Volume of semi-sphere + Volume of cone
= 2/3πr³ + 1/3πr²h
= 2/3*6³π + 1/3*6²*14π
= 312π mm³
Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.
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To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches. How many cubic inches of frosting is in the bag? Use 3.14 for pi.
Answer:27.7
Step-by-step explanation:
the formula for a cone is V=1/3πr*2h
it is 1/3 because a cone is one-third of a sphere.
you then put the information from the text in the formula and you get this
V=1/3x 3.14 (pi) x 2.1 to the power of 2 (radius is half of a diameter)x 6 (height)
then you get the answer 27.6948
round to the nearest 10th and you get
A. 27.7
Also, I took the test.
There are 27.77 in³ of frosting is in the bag.
What is volume?The amount of space, measured in cubic units, that an object or substance occupies.
Given that, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches.
Volume of cone = ¹/₃πr²h
r = 4.2/2 = 2.1 in
h = 6 in
Volume = ¹/₃x2.1x2.1x6
= 27.77
Hence, the volume of the cone is 27.77 in³
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need help
ASAP will give 20 points!
Answer:
141
Step-by-step explanation:
24 (triangle) + 117 (trapezoid)
Answer:
141
Step-by-step explanation:
Trapezium + triangle
[½ × (16+10) × 9] + [½ × 6 × 8]
117 + 24
141 in²
a. 6ft
b. 3 ft
c. 36 ft
d. 12 ft
Answer:
A.6
Step-by-step explanation:
Cause it is bisecting the line and that means the length is the same on both sides
how many lines of symmetry does the quadrilateral below have.
A. 0
B. 1
C. 2
Which of the following are magnitudes for rotational symmetry of the quadrilateral below about the marked point.
A.30
B.90
C.180
D.None of the above
Answer:
C; A
Step-by-step explanation:
(coming from an 8th grader :)
1. should be A, because on each side of the quadrilateral there are two lines being mirrored.
2. should be C, because the angles are acute and not right or straight. you may be thinking “but there is a straight line” yes, you are right there’s a straight line, but there’s multiple angles consisted in making one whole angle.
Find the area of the regular polygon, round to nearest hundredth. a 93.23 b 186.45 c 933.25 d 466.13
Answer:
See Explanation and Attachment
Step-by-step explanation:
Your question is incomplete as the diagram of the polygon is not attached.
However, I'll give a general guide to calculate the area of a regular polygon.
If you apply these steps, you'll be able to solve your question.
The area of a regular polygon is calculated this.
Area = ½ap
Where a represents the apothem of the polygon and p represents the perimeter of the polygon.
The term "apothem" means the distance between the centre of the polygon and the base of the polygon.
Take for instance, the attachment below.
The polygon is a regular hexagon (it has 6 sides)
The apothem, a = 8.2 ft
The perimeter, p = The sum of all sides of the hexagon
p = (7.6 + 7.6 + 7.6 + 7.6 + 7.6 + 7.6)ft
p = 45.6 ft
Hence, the area of the polygon
A = ½ap becomes
A = ½ * 8.2 * 45.6
A = ½ * 373.92
A = 186.96ft²
The amount Amanda earns babysitting in a month is represented by the equation a=9.5h. In the equation, a
represents the total amount Amanda earns. The number of hours she babysits is represented by h. What is the
constant of proportionality (unit rate) of a to h?
Answer:
9.5
Step-by-step explanation:
Well the constant proportionality is 9.5 because that is what makes p directly proportional to a, because when h increases, a increases, and when h decreases, a decreases.
Answer Choices:
Distance= 6 mi
Distance= 6.2 mi
Distance= 6.11 mi
Distance: 6.5 mi
Answer:
6.11 miles away of Distance
can someone help me find the area please?
Answer:
The area would be 48 m.
Step-by-step explanation:
Please help with this
Answer:
A. x = 5, -3
Step-by-step explanation:
The quadratic equation/formula is:
[tex]x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4x^2 - 8x -60=0[/tex]
Plug in the numbers according to the letter associated:
[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]
[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]
[tex]x = \frac{8+-32}{8}[/tex]
Solve for addition and subtraction:
[tex]x = \frac{8+32}{8}[/tex] [tex]x = \frac{8-32}{8}[/tex]
[tex]x = \frac{40}{8}[/tex] [tex]x = \frac{-24}{8}[/tex]
x = 5 x = -3
what is the probability of spinning different numbers when the spinner below is spun twice
Answer:
25%
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Jim Is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits
on the website for 5 weeks is given in the table below.
Number of Weeks Avg. Number of Visits
0
48,000
1
24,000
2
12,000
3
6,000
4
3,000
1,500
5
9.
The percent decrease in the average number of visits each week since the end of the season was
Answer:50%
Step-by-step explanation:
Each week the number decreased by 1/2 which is equal to 50%. Therefore the average number of decrease per week is 50%. Hope this helped!!
could I by any chance get a brainliest?
The percent decrease in the average number of visits each week since the end of the season was 50%.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends.
The average number of visits on the website for 5 weeks is given
The average number of visits decreased by half each week.
So the percent decrease in the average number of visits each week since the end of the season was 50%
Therefore, the percent decrease in the average number of visits each week since the end of the season was 50%.
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5. The longest leg of a right triangle is 8 meters and another side is 6 meters. Calculate the
perimeter. 5
Answer:
24 meters
Step-by-step explanation:
Alright. Your question had errors, but I managed to scramble together some answers.
The right triangle has a total of 3 sides, 2 which are 8 and 6. We need to find the hypotenuse.
Let's use the Pythagorean Theorum.
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
64 + 36 = 100
To get c by itself, square root it.
[tex]\sqrt{100} =10[/tex]
You found the hypotenuse :D
Add it up!
8 + 6 + 10 = 24 meters
Answer:
Remember this formula.
Step-by-step explanation:
[tex]\sqrt{a^{2}+b^{2}=c^{2}[/tex]
If your legs are 8 and 6, the last side is the hypotenuse, which is always the largest side of a right triangle. You calculate it's length by taking the measurements of leg A and leg B, and squaring both of them, or raising them both by the power of 2.
This will equal C, or your hypotenuse, but it will be squared, so you have to find its square root to get the actual measurement, which is why the equation has a square root sign over it, so the answer is automatically squared when put into a calculator.
8 x 8 = 64 [or [tex]8^{2}[/tex]]
6 x 6 = 36 [or [tex]6^{2}[/tex]]
[tex]8^{2}+6^{2}=100\\\sqrt{100}=10[/tex]
[tex]\sqrt{8^{2}+6^{2}=10[/tex]
HELP QUICK!! 25 POINTS AND BRAINLIEST!!
What is the area of the shaded sector of the circle?
a. 20
b. 25
c. 100
d. 72
Answer:
i think its 25 because like if 72 is the shaded part then it can't be the answer 100 wouldn't be the answer because it is too high and 20 wouldn't be the answer because it is too low so 25 is my reasonable answer.
Step-by-step explanation:
Since the area to me is 25 then we would do 360 x 25 = 9000
the you do 9000 / 36 i got 36 by doing 360 / 10
After that you you do 9000 / 36 which gives you 2.5
Last i did 2.5 x 10 which gave me 25
Hope this helpsBrainliest plzhope you get this right
which statement best describes the possible value of the median time of students riding the bus to school?
Answer:
Step-by-step explanation:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Answer:
its a on edge 2021
Step-by-step explanation:
What represents the product of x AND y + 4?
xy+4x
xy+4
x+y+4
x+4y
Answer: A. xy + 4x
Step-by-step explanation:
(x)(y + 4)
distribute the x to both terms
xy + 4x
hope this helps! :)
Answer:
A. xy + 4x
Step-by-step explanation:
(x)(y + 4)
distribute the x to both terms
xy + 4x
Select all the equations that are equivalent to the given equation. 1/5 (t + 2) = 5/6
1/5 t + 2/5 = 5/6
1/5 t = 7/10
1/5 t + 7 = 5/6
t = 2 1/6
t = 3 1/2
plz this question is worth 50 ponits
Answer:
t = 2 1/6
1/5 t + 2/5 = 5/6
Step-by-step explanation:
1/5 (t + 2) = 5/6
Multiply each side by 5
t+2 = 5*5/6
t+2 = 25/6
Subtract 2 from each side
t+2 -2 = 25/6 -12/6 ( using the same denominator)
t = 13/6 = 2 1/6
We can also distribute
1/5 t + 2/5 = 5/6
Subtract 2/5 from each side
1/5t = 5/6 -2/5
Get a common denominator
1/5t =25/30 - 12/30
1/5t = 13/30
Multiply each side by 5
t = 13/30 *5
t = 13/6
ANSWER : t = 2 1/6
1/5 t + 2/5 = 5/6
Step-by-step explanation:
1/5 (t + 2) = 5/6
Multiply each side by 5
t+2 = 5*5/6
t+2 = 25/6
Subtract 2 from each side
t+2 -2 = 25/6 -12/6
t = 13/6 = 2 1/6
We can distribute
1/5 t + 2/5 = 5/6
Subtract 2/5 from each side
1/5t = 5/6 -2/5
Get common denominator
1/5t =25/30 - 12/30
1/5t = 13/30
Multiply each side by 5
t = 13/30 *5
t = 13/6
Somebody help I’ve tried this question many times and still get it wrong
Answer:
$480 in interest to make a total of $1,480. She will not have enough money
Step-by-step explanation:
I=P.r.t
=1000*0.02*24
=$480
Total after 2 years: 1000+480=$1,480
It's Quadratic, Exponential or Linear?
Answer:
quadratic table
Answer:
i think it is exponential
Help! I don't know how to do this! I will mark Brainliest!
Answer:
- 3y² - 7y + 6
Step-by-step explanation:
Given
(- 3y + 2)(y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
- 3y (y + 3) + 2(y + 3) ← distribute both parenthesis
= - 3y² - 9y + 2y + 6 ← collect like terms
= - 3y² - 7y + 6
Answer:
is it A?
Step-by-step explanation:
i choose that because its the only one with -3y² which is correct
Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4
Answer: b
Step-by-step explanation:
Which statements about functions g(x) = x2 − 4x + 3 and f(x) = x2 − 4x are true? Select all that apply
A)The vertex of the graph of function g is above the vertex of the graph of function f.
B)The graphs have the same axis of symmetry.
C)Function f has a maximum value and function g has a minimum value.
Answer:
It is C i just had that question
Step-by-step explanation:
Answer:
just c i had that question too
Step-by-step explanation:
find the area of the figure please <3