help Mary ann and carlos are each saving for new scooters. Their savings are shown. Let x represent the number of hours each person works y represent the total earnings in dollars
after how many hours of work will mary ann and carlos have saved the same amount?
Answers
Answer:
4 hoursStep-by-step explanation:
Use a couple of ordered pairs on the graph and get the equation of the line:
(0, 2), (1, 10)The y-intercept is 2 and the slope is 10 - 2 = 8
The line is
y = 8x + 2Solve the system of equations by substitution to find the intersection
y = 6x + 10y = 8x + 26x + 10 = 8x + 28x - 6x = 10 - 22x = 8x = 4They will work 4 hours to get same amount of saving
Answer:
4 hours
Step-by-step explanation:
First, create a linear equation for Carlos using the graph.
Two points on the line: (0, 2) and (1, 10)
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{10-2}{1-0}=8[/tex]
Use the point-slope equation with the found slope and one of the points:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-2=8(x-0)[/tex]
[tex]\implies y=8x+2[/tex]
Now equate the equations for Mary Ann and Carlos, and solve for x:
[tex]\implies 6x+10=8x+2[/tex]
[tex]\implies 8=2x[/tex]
[tex]\implies x=4[/tex]
Therefore, Mary Ann and Carlos have saved the same amount after 4 hours work.
Related Questions
Needs help quick. What best describes the lined shown below?
Answers
Answer:
it is the third option
C. externally tangent
Answer:
it is the third option
C. externally tangent
Step-by-step explanation:
ASAP
“A map uses the scale 3 of an inch represents 3/4 miles. If the actual distance between two cities is
25 miles, then what is the length on the map?”
Answers
Answer:
3 = 3/4
but 3/4= 0.75
3 = 0.75
x = 25
cross multiply
0.75x = 75
divide both sides by 0.75
x = 100
therefore 25miles represent 100inch on a map
Complete the conversion.
1 foot = 12 inches
4;, feet =
inches
Answers
Answer:
48 in
Step-by-step explanation:
1ft=12in so 12in x 4ft= 48 in
Is it
Use a tree diagram to find how many ways you can arrange the letters in the word FARM.
A) 16
B) 24
C) 256
D) 12
Answers
Answer:
B. 24 posibbly
Step-by-step explanation:
U
(a) Describe the relationship among the lengths of the segments formed by the secant, and the tangent segment. You may use words and/or an equation
Answers
Answer:
I think that in itself the strongest bond of relationship is the intersecting line that is unified from end to end points
explain how mid-nineteenth-century American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art? how did the art influence society?
Answers
Answer:
Step-by-step explanation:
American values and social trends are conveyed in The Voyage of Life paintings by Thomas Cole. how did society influence the art
a laptop that was originally priced at $650 was placed on sale for 25% off. when it did not sell it was put on clearance for 30% off the sale price. what was the clearance price of the laptop
Answers
Answer:
$48.75
Step-by-step explanation:
To find 25% of 650 you find 50%. To do this you divide 650 by 2 which is 325. you then divide that by 2 again to get $162.50. That is the sale price.
You now need to find 30% of 162.50. To do that you find 10% 3 times because 10x3 is 30. To find 10% you divide 162.50 by 10 to get 16.25.
16.25x3 is $48.75 which is our answer.
Find the range of the data.
52,40,49,48,62,54,44,58,39
How do I find the range?
Answers
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.49
Answer:
The range is 23
Step-by-step explanation:
1. Organize least to greatest:
39, 40, 44, 48, 49, 52, 54, 58, 62
2. Find the largest and the smallest nmber:
39 and 62
3. Subtract:
62
-39
=23
Kaitlyn and Hakim each bought a tube
of candy. Both containers cost the same
amount. Which container required more
plastic to make?
d = 7 cm
CANDY
122 cm
d = 11 cm
CANDY
85 cm
Answers
Container A:
diameter- 7 cm
height- 122 cm
radius- 3.5 cm
calculating for the surface areaSA=2×π×r×r+2×π×r×h
SA=2(3.14)(3.5)(3.5)+2(3.14)(3.5)(122)
SA=76.93+2681.56
SA=2758.49 cm^2
Container B:diameter- 11 cm
height- 85 cm
radius- 5.5 cm
calculating for the surface areaSA=2×π×r×r+2×π×r×h
SA=2(3.14)(5.5)(5.5)+2(3.14)(5.5)(85)
SA=189.97+2935.90
SA=3125.87 cm^2
Container B required more plastic to makewhat’s 690 divided by 4???
Answers
Answer:
Step-by-step explanation:
172.5 is the correct answer.
simplify (2x²-6x-8)÷(x-4)
Answers
Answer: Heyaa!
The Answer is 2x+2
Step-by-step explanation:
Simplify the expression.
hopefully this helps you !
- Matthew ~
answer is in the attachment hope it helps you ^_^
Please help me ASAP!!! 5th grade math. You can do it!
Answers
Answer:
1/6.
Apologies if I'm wrong but I haven't been in 5th grade in a long time.
Step-by-step explanation:
I think you divide each number across.
Step 1: Story
One day, a girl named sarah wanted to share cookies in between 3 of her best friends. However, she only had 1/2 of her cookie left. So she divided her cookie by 3 to share her cookie with every single friend
Step 2: Solve
1/6.
The value of 1/2 divided by 3 is 1/6.
---
I hope this helps! I remember being in 5th grade and this was super hard math for me
Work out the value of 8^2+4^3, 5^3-7^2
Answers
Answer:
302
Step-by-step explanation:
yanni crable deposits $122 in an ordinary annuity at the end of every quarter. The annuity earns 6% interest compounded quarterly. After 4 quarters, the value of $1 with this interest rate is $4.0909. What is the future value of the annuity after 1 year?
Answers
Step-by-step explanation:
future value of annuity after 1 year is:
$122× $4.0909=$499.089
=$499.09
What is the value of the expression 5x2 + 2x when x = 5?
Answers
Answer:
135
Step-by-step explanation:
Given:
[tex]x = 5[/tex]
To determine a numerical value for the expression, simply substitute the value of "x" into the expression and simplify the expression, if necessary, to determine a specific number for the expression provided.
[tex]\implies 5x^{2} + 2x[/tex][tex]\implies 5(5)^{2} + 2(5) \longrightarrow \longrightarrow \longrightarrow (x = 5)[/tex][tex]\implies 5(5)(5) + 2(5)[/tex][tex]\implies 125 + 10[/tex][tex]\implies 135[/tex]Therefore, the value of the expression [tex]5x^{2} + 2x[/tex] when x = 5 is 135.
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Fynn is using the Pythagorean theorem to calculate the slant height of an object. Which object is Fynn most likely working with?
a right cone
a sphere
a right cylinder
an elliptical cylinder
Answers
Draw a quadrilateral that does not belong. Then explain why.
Answers
Step-by-step explanation:
Rhombus since the other 3 have lines that go accross the graph horizontally for 3 squares.
In the congruent figures ABCD and WXYZ, which angles are corresponding?
A
A and B
B
B and X
C
A and Y
D
D and W
Answers
Answer: B
The letters have the same positions in the figure names.
In congruent figures ABCD and WXYZ, corresponding angles are angles that have the same position relative to their respective vertices.
In congruent figures ABCD and WXYZ, corresponding angles are angles that have the same position relative to their respective vertices.
For example, angle A and angle W are corresponding angles, as they are both opposite the vertex where angle D and angle X are vertices.
Similarly, angle B and angle X, angle C and angle Y, and angle D and angle W are all corresponding angles in the congruent figures ABCD and WXYZ.
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SOMEONE HELP ME PLEASE??
Answers
Explanation: This triangle is an equilateral; Meaning all sides are equal.
42 / 3 = 14.
This triangle can be called obtuse or __________.
A: equilateral
B: isosceles
C: scalene
D: right
Answers
Find the sum of these polynomials. (x2 - 5x + 3) + (2x2 - 3x - 7) = A.3x2 - 8x - 10 B.3x2 - 2x - 4 C.3x2 - 8x - 4 D.3x2 - 2x - 10
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The sum of the two polynomial expressions (x² - 5x + 3) + (2x² - 3x - 7) is (3x² - 8x - 4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The sum of the two polynomial expressions are:
(x² - 5x + 3) + (2x² - 3x - 7)
= x² - 5x + 3 + 2x² - 3x - 7
= 3x² - 8x - 4
Hence, The sum of the two polynomial expressions (x² - 5x + 3) + (2x² - 3x - 7) is (3x² - 8x - 4).
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Answer:
yk
Step-by-step explanation:
Christine, Kareem, and Trey have a total of $133 in their wallets. Kareem has $5 more than Christine. Trey has 4 times
what Kareem has. How much do they have in their wallets?
Answers
Answer:
Christine has $18, Kareem has $23, and Trey has $92.
Step-by-step explanation:
This can be solved by using variables to represent the unkown values.
x = Christine's money
x + 5 = Kareem's money.
4(x + 5) = Trey's money.
x + (x + 5) + 4(x + 5) = 133
2x + 5 + 4x + 20 = 133
6x = 108
x = $18
This means that Christine has $18, Kareem has $23, and Trey has $92.
Hope this helps
Which data set is the farthest from a normal distribution? a. 2, 3, 3, 4, 4, 4, 5, 5, 6 b. 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10 c. 0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3 d. 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8 e. 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10
Answers
The farthest from a normal distribution is,
e) 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given are 4 data sets.
And, We have to check which is farthest from normal distribution.
We know that a normal distribution is bell shaped with mean = median = mode.
Also 99% lie within 3 std deviations from the mean.
Here, This data set has a bimodal distribution with two distinct peaks, which is not characteristic of a normal distribution.
And, The other data sets have a unimodal distribution with a more symmetrical shape, which is closer to a normal distribution.
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Answer:2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10
Step-by-step explanation:
2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10
need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Answers
Answer:
2412.7 ft^3
Step-by-step explanation:
If a circle has a diameter 16ft, it's radius is half that, or 8ft. The are of the circle/base of the cylinder is given by the formula [tex]\pi r^2[/tex] where r is the radius. This means the area is 64π ft^2.
To find the volume of a cylinder, you multiply the base area and the height, so the volume would be 64π x 12 which is 2412.74315796. When rounded to the nearest tenth, this is 2412.7.
Since we want to find the volume of a cylinder:
⇒ must know the formula: [tex]V = \pi r^2h[/tex]
r: radiush: heightConsider the information given:
Height: 12 ftDiameter: 16 ft ⇒ Radius: 8 ft (radius is half of the diameter)Let's solve:
[tex]V = \pi r^2*h=3.14*(8)^2*12=2411.52_.cm^3[/tex]
Answer: 2411.5 cm³
Hope that helps!
hello I NEED HELP PLSSS
Answers
Write and solve an equation to find the measure of angle B.
Answers
Answer:
∠B = 40°
Step-by-step explanation:
The given angle relations can be expressed in two equations.
__
setupA + B = 90° . . . . . . . . angles are complementary
A×(1 -20%) = B . . . . . B is 20% smaller
__
solutionUsing the second equation to substitute for B in the first equation, we get ...
A + 0.80A = 90° . . . . . . substitute for B
A = 90°/1.8 = 50° . . . . . collect terms, divide by the coefficient of A
B = A(0.80) = 40° . . . . find B from A
The measure of angle B is 40°.
Before training for the obstacle course, Helena bought a new pair of athletic shoes. She placed the shoes on the floor next to each other and noticed that the right shoe looked just like a reflection of the left shoe. If she had accidentally purchased two left shoes, how would this comparison change?
Answers
The comparison of shoes placed on the floor by Helena next to each other change from reflection to translation.
What do you mean by reflection?The reflection of a plane or shape is flipping the original figure with respect to a reference line.
The rule of reflection are given below,
Reflection about x-axis (x,y)-->(x,-y)Reflection about y-axis (x,y)-->(-x,y)Before training for the obstacle course, Helena bought a new pair of athletic shoes.
She placed the shoes on the floor next to each other and noticed that the right shoe looked just like a reflection of the left shoe. This is because, the separating line works as the symmetry line between both the shoes.Now she had accidentally purchased two left shoes. Now, if she puts a left shoe to another left shoe, then it looks like the translated image of the first shoe.
Hence, the comparison of shoes placed on the floor by Helena next to each other change from reflection to translation.
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help me please please please
Answers
Answer:
0.6915692913385827
Step-by-step explanation:
use pi days arc calc
A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π7. The graph of the function does not show a phase shift.
What is the equation of the cosine function described?
Drag a value into each box to correctly complete the equation of the function
Answers
Answer
f(x) = -9 cos((12(pi) / 7)x) -11
The base equation for a cosine graph is
f(x) = a cos(b(x-c))+d
a = amplitude
b = period
c = phase shift
d = vertical shift
if there's a reflection over the x-axis then there is a negative sign in front of the amplitude
I wrote the equation previously but it got deleted so let me know if you have any problems with this explanation
theHighest Common Factor of 84 and 24
Answers
Answer:
12Step-by-step explanation:
theHighest Common Factor of 84 and 24
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
There are 6 common factors of 24 and 84, that are 1, 2, 3, 4, 6, 12. Therefore, the greatest common factor of 24 and 84 is 12.