Ms.Liu has $60 to buy candy and soda at the movies theater for her family. Candy cost $6 per box and soda cost $4 per cup .Write an algebraic expression that can be used to find the amount of money mr.Liu will have left if she buys a number of boxes of candy (c)and cups of soda (s).
Given :
Ms. Liu has $60 to buy candy and soda at the movies theatre for her family.
Candy cost $6 per box and soda cost $4 per cup.
To Find :
Write an algebraic expression that can be used to find the amount of money ms. Liu will have left if she buys a number of boxes of candy (c) and cups of soda (s).
Solution :
Let, number of candy and soda are c and s.
So, their price is :
Price = 6c + 4s
Amount left = 60 - ( 6c + 4s )
Amount left = 60 - 6c -4s
Hence, this is the required solution.
Which step contains an error?
A.) Step 2
B.) Step 4
C.) Step 6
D.) Step 8
Step 6 contains an error. Option C is correct
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The incorrect step is;
[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]
The correct step is;
[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]
Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.
Hence, option C is correct
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The function y=10x+100 represents the amount y (in dollars) of money in your bank account after you babysit for x hours.
a. Identify the independent and dependent variables.
The dependent variable is the amount of money in the bank account.
The independent variable is the hours you babysit.
Question 2
b. You babysit for 4 hours. Find the domain and range of the function.
domain:
range:
Answer:
Domain - [0, 4]
Range - [100, 400]
Step-by-step explanation:
Function representing the amount of money 'y' and hours of babysitting 'x' is,
y = 10x + 100
a). The dependent variable is,
Amount of money in the bank account.
The independent variable is,
Number of hours of babysitting
b). x 0 1 2 3 4
y 100 110 120 130 140
Since, x values of a function represent the domain and y-values represent the range,
Domain - [0, 4]
Range - [100, 140]
Answer:
this is what i got
plz brainly
Step-by-step explanation:
i need help pls ! pls help me
Answer:
x= 175°
Step-by-step explanation:
angles in a triangle add up to 180 degrees
85 + 90 = 175
180 - 175 = 5 (the missing angle not x)
angles on a straight line add up to 180 degrees
180 - 5 =175
Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. How many cups of pineapple juice does he need if he uses 3 c of orange juice? Show your work (psst...Make sure you label or it will be marked wrong).
Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .
Step-by-step explanation:
Equation of direct proportion between x and y:
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
As per given,
Let x = quantity of pineapple juice and y = quantity of orange juice.
[tex]x_1=\dfrac13\[/tex] , [tex]y_1=\dfrac34[/tex] , [tex]y_2=3[/tex]
Put these values in an equation we get
[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]
Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .
Answer:
He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.
Step-by-step explanation:
Orange Juice:
3 cups / 3/4 cups = 12/3= 4
Pineapple Juice:
1/3 × 4 = 4/3 cups= 1 1/3 cups
A( You run 1/12 mile in 1/2 minute. How many miles per minute do you run?
B( You run 1/12 mile in 1/2 minute. How many miles per hour do you run?
566
664
865
866
574
087
467
678
Answer:
1/5 I really hope that helps have a good day
I need help its about. Inequalities
Answer:
(-1, 3), (-5, -5), and (1, 2)
Step-by-step explanation:
To make this easier to solve, simplify the inequality:
12x - 3y < 12
= -3y < -12x + 12 (subtract 12x)
= 3y > 12x - 12 (multiply by -1, switch the inequality because it was a multiplication by a negative number)
= y > 4x - 4 (divide by 3)
Now, just go through each point and see if they are correct after you plug them into the inequality and solve:
(-1, 3): 3 > -8? yes
(-5, -5): -5 > -24? yes
(0, -4): -4 > -4? no
(1, 2): 2 > 0? yes
(4, 4): 4 > 12? no
(3, 8): 8 > 8? no
In conclusion, the points (-1, 3), (-5, -5), and (1, 2) fit the inequality.
Write a linear function with the values f(0) = 5 and f(-3) = 6
Answer:
You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:
y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)
y - 6 = ( -9 / 3 ) (x - 0)
y - 6 = -3x
y = -3x + 6 This is: y = mx+b
Step-by-step explanation:
hope this will help you..
The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]
The given functions are:
f(0) = 5
f(-3) = 6
That is, x₁ = 0, y₁ = 5, x₂ = -3, y₂ = 6
The slope of the linear function is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]
The equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]
The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]
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What is the constant rate of change between the values of x and y in
the table?
1
9
13
doo
y
-6
0
CO
A. /
B.
3
4
C.
D.
Walter and Helen are asked to paint a house. Walter can paint the house by himself
in 12 hours and Helen can paint the house by herself in 16 hours. How long would it
take to paint the house if they worked together? Round to the nearest tenth.
The division is one of the four fundamental arithmetic operations. The time it will take both of them together to paint the house is 6.857 hours.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Let the area that is needed to be painted be x.
Given that Walter can paint the house by himself in 12 hours. Therefore, we can write the rate at which Water paint is,
Rate = Area needed to be painted / Time
= x / 12 hours
= x/12
Further, given that Helen can paint the house by herself in 16 hours. Therefore, we can write the rate at which Helen paint is,
Rate = Area needed to be painted / Time
= x / 16 hours
= x/16
Now, the rate at which they both will paint or the area that they will cover in an hour is,
Rate = (x/12) + (x/16)
= (4x/48) + (3x/48)
= (4x + 3x)/48
= 7x / 48
Furthermore, the time it will take both of them together to paint the house is,
Time = Area needed to be painted / Rate
= x / (7x/48)
= 48/7 hours
= 6.857 hours
Hence, the time it will take both of them together to paint the house is 6.857 hours.
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Eliza’s backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza’s math book weigh?
3 and StartFraction 11 over 72 EndFraction pounds
3 and StartFraction 65 over 72 EndFraction pounds
4 and StartFraction 11 over 72 EndFraction pounds
4 and StartFraction 65 over 72 EndFraction pounds
Answer:
2nd option: [tex]3 \frac{65}{72} [/tex] pounds
Step-by-step explanation:
backpack +math book ----- [tex]18 \frac{7}{9} [/tex] pounds
backpack ----- [tex]14 \frac{7}{8} [/tex] pounds
Weight of math book
= (weight of backpack +math book) -(weight of math book)
[tex] = 18 \frac{7}{9} - 14 \frac{7}{8} \\ = 3 \frac{65}{72} [/tex]
Answer:
B. 3 and StartFraction 65 over 72 EndFraction pounds
Step-by-step explanation:
What is the length of CD? In this diagram, AABCAEDC.
Answer:
CD = x = 4 units
Step-by-step explanation:
b. Mr. Tyler has an annual salary of
$48,264. How much does he earn each
month?
Answer:
4022
Step-by-step explanation:
48264/12=4022
Answer:
$4,022
Step-by-step explanation:
Because it is an annual salary (yearly), you would take the number and divide it by 12 (the amount of months in a year). This leaves you with $4,022
Three friends go grocery shopping together, and each buys the same kind of
strawberries. Akio buys 2 pounds (lb) and pays $1.50. Gordon buys 3 pounds
and pays $2.25. Maria buys 4 pounds and pays $3.00.
Identify the graph and unit price that represent the strawberry costs.
Answer:
Answer: A- 1.50$ for (1 lb) make sure you pick the graph with the coat that go to 7 not 12!
Step-by-step explanation:
but maybe its 1.25
Answer:
1.25
Step-by-step explanation:
This is an urgent question and I do not know what to do! This homework is due in 17 minutes!!!
Sara wants to buy some billboards. The company she is buying the billboards from sells: billboards with 4 lines for $20 and billboards with 6 lines for $30. If Sara buys 7 billboards for 140, what type of billboard did she buy? Show the steps!!!!
Answer: Sara bought billboards with 4 lines for $20 (the quantity is 7)
We have to take the total cost (t) and divide that buy the 6 lines billboards and the 4 line billboards.
We know one 6 line billboard = $30We know one 4 line billboard = $20So, let's divide $140 by 20 and 30 (the cost for each type of billboard).
$140 ÷ 30 = 4.6
This can not be the answer because Sara bought 7 billboards, not 4.6
$140 ÷ 20 = 7
So, the answer is Sara bought billboards with 4 lines for $20.
Hope this helps you!
Answer: billboards with 4 lines for $20 (7 count)
140 divided by 30 is not 20.
140 divided by 20 is 7.
The answer to the question = 7
HELPPPPPPPPPPPPPPPPPPP))))))))************
Answer:
The first option.
Step-by-step explanation:
5*6=30 and 9*6=54. We're just multiplying what we had originally by 6, meaning we'll have the same shade, but in a bigger quantity.
HELP PLEASE 21 POINTS
Answer:
Its answer is option c.(3)
Answer:
c
Step-by-step explanation:
you devide and then you .
Ross is shopping for mulch that costs $1.29 per cubic foot. During his first trip to the store, he bought 16.5 cubic feet. He needs another 4.5 cubic feet to complete his landscaping project.
Answer:
$27.09 in all
Step-by-step explanation:
$1.29 × 16.5 = $21.285
$1.29 × 4.5 = $5.805
$21.285 + $5.805 = $27.09
Does anyone know the answer to this and how to solve it? Thanks
(BRAINLYEST TO RIGHT ANSWER) A group of 281 people is going on a boat tour. If each boat holds 8 people, how many people will be on the last boat?
Answer:
1
Step-by-step explanation:
use division.
281 divided by 8
which is in all 35, but there is a remainder
and that remainder is 1
so one person will be on that last boat
Which equation is not equivalent to
2x + 15 = 35
F. 4x/5 = 8
G. 2x - 5 = x + 25
H. 2x + 7 = 27
J. 4x/3 = x + 10/3
Answer:
g
Step-by-step explanation:
Chad sells 3 pounds of barbecue for $28.74. If
the cost of the barbecue varies directly with the
number of pounds sold, which of the following
does NOT reflect the same relationships?
A 6 pounds of barbecue for $57.48
B 9 pounds of barbecue for $82.26
C 12 pounds of barbecue for $114.96
D 15 pounds of barbecue for $143.70
Answer:
B 9 pounds of barbecue for $82.26
Step-by-step explanation:
$28.74/3 lb = $9.58/lb
A $57.48/6 lb = $9.58/lb
B $82.26/9 lb = $9.14/lb
C $114.96/12 lb = $9.58/lb
D $143.70/15 lb = =$9.58/lb
Answer: B 9 pounds of barbecue for $82.26
The radius of the base of a cylinder is decreasing at a rate of 9 millimeters per hour and the height of the cylinder is increasing at a rate of 2 millimeters per hour. At a certain instant, the base radius is 8 millimeters and the height is 3 millimeters. What is the rate of change of the surface area of the cylinder at that instant in square millimeters per hour?
a) 310pi
b) 155pi
c) -155pi
d) -310pi
Answer:
Answer: d) -310pi
Step-by-step explanation:
Instantaneous Rate of Change
Is the change in the rate of change of a function at a particular instant. It's the same as the derivative value at a specific point.
The surface area of a cylinder of radius r and height h is:
[tex]A=2\pi r^2+2\pi r h[/tex]
We need to calculate the rate of change of the surface area of the cylinder at a specific moment where:
The radius is r=8 mm
The height is h=3 mm
The radius changes at r'=-9 mm/hr
The height changes at h'=+2 mm/hr
Find the derivative of A with respect to time:
[tex]A'=2\pi (r^2)'+2\pi (r h)'[/tex]
[tex]A'=2\pi 2rr'+2\pi (r' h+rh')[/tex]
Substituting the values:
[tex]A'=2\pi 2(8)(-9)+2\pi ((-9) (3)+(8)(2))[/tex]
Calculating:
[tex]A'=-288\pi +2\pi (-27+16)[/tex]
[tex]A'=-288\pi +2\pi (-11)[/tex]
[tex]A'=-288\pi -22\pi[/tex]
[tex]A'=-310\pi[/tex]
Answer: d) -310pi
Write an expression for the sequence of operations described below.
j times the product of 4 and 7
J times the product of 4 and 7:
J(4x7)
Answer:
28j
Step-by-step explanation:
4 times 7=28
28 times j= 28j
The temperature was 2.5°C below zero. After 4 hours, the temperature was now 5.6°C
above zero. What is the difference in temperature?
Show your work
Explain your answer
And THXS
PLEASE HELP. I need an answer by Nov 5
Fill in the missing reasons for the following two-column proof for the following information. Given: M is the midpoint of CD; CM = 3x – 10; MD = 6x – 22 Prove: x = 4
M is the midpoint of CD; CM = 3x – 10 ; MD = 6x - 22 1.?
CM=MD 2.?
3x – 10 = 6x – 22 3. substitution
-3x – 10 = -22 4. Subtraction Property of Equality
-3x = -12 5. ?
x=4 6. Division Property of Equality
Answer:
Step-by-step explanation:
1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22; GIVEN
2. CM = MD Definition of Midpoint
3. 3x - 10 = 6x - 22 Substitution Property
4. -3x - 10 = - 22 Subtraction Prop of Equality
5. -3x =-12 Addition Prop of Equality
6. x = 4 Division Prop of Equality
The missing reasons in the two-column proof are:
1. Given
2. Definition of a midpoint
3. Addition property of equality
What is the Addition Property of Equality?To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.
In the two-column proof given, the missing reasons are:
1. Given (the information was stated already)
2. Definition of a midpoint (CM = MD)
3. Addition property of equality (10 was added to both sides of the equation).
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Mr. Boon went to the fair and bought 2 churros (x) and 3 sodas(y) for a total of $12.
The equation 2x + 3y = 12 demonstrates the situation.
If the sodas cost $2 each, how much do the churros cost? (Don't forget the units)
Answer:
$3
Step-by-step explanation:
Plug in 2 for y, so you get 2x + 3(2) = 12, and that simplified would be
2x + 6 = 12. Next, subtract 6 from both sides, so you get 2x = 6. Divide 2 by both sides to get 3!
Two more than a certain number is 15 less than the product of ⅞ and the number.
Answer:
let the number = x
two more than the number = ( x + 2 )
product of the number and ⅞ = ⅞x
if you add 15 to ( x + 2 ) the result will ⅞x
( x + 2 ) + 15 = ⅞x
8x + 16 + 120 = 7x
x = -136
Step-by-step explanation:
plzzzzzzzzzz helppppppppppppppppppp
4/5-1/4
Answer:
11/20 is the answer
1.) 1
2. 4
3. 5
4. 3
Answer:
4. 3
Step-by-step explanation:
If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.
You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.
Hope that helps :)