Answer:
62/87,21
Write the rate of blue paint to yellow paint for each quart in simplest form.
The rates are not equal. So, the amount of yellow paint is not proportional to the amount of blue paint.
$16:(5
No; the rates are not equal.
62/87,21
Write the rate of ice tea mix to sugar for each quart in simplest form.
Each rate is equal to . So, the amount of sugar is proportional to the amount of ice tea mix.
$16:(5
Yes; each rate is equal to .
GASOLINE The cost of 13 gallons of gasoline is $41.47. Write an equation relating cost to the number of gallons of
gasoline. How much does 18.5 gallons of gasoline cost?
62/87,21
Find the constant of proportionality.
or 3.19
The cost is $3.19 times the number of gallons of gas, g. The equation is c = 3.19g.
To find the cost of 18.5 gallons of gas, substitute 18.5 for g.
18.5 gallons of gas cost $59.02.
$16:(5
c = 3.19g; $59.02
Determine whether the set of numbers in each table is proportional. Explain.
62/87,21
Write the rates of cans of concentrate to cans of water in simplest form
Each rate is equal to . So, the amount of cans of water is proportional to the amount of cans of concentrate.
$16:(5
Yes; each rate is equal to .
62/87,21
Write the rates of shaded squares to total squares in simplest form.
The rates are not equal. So, the number of total squares is not proportional to the number of shaded squares.
$16:(5
No; the rates are not equal.
62/87,21
Write the rates of junk e-mails to total e-mails in simplest form.
Each rate is equal to . So, the number of total e-mails is proportional to the number of junk e-mails.
$16:(5
Yes; each rate is equal to
62/87,21
Write the rates of weeks to days in simplest form.
Each rate is equal to . So, the number of days is proportional to the number of weeks.
$16:(5
Yes; each rate is equal to .
62/87,21
Write the rates of the heat index to air temperature.
The rates are not equal. So, the air temperature is not proportional to the heat index.
$16:(5
No; the rates are not equal.
62/87,21
Write the rates of jars to jelly beans in simplest form.
The rates are not equal. So, the number of jelly beans is not proportional to the number of jars.
$16:(5
No; the rates are not equal.
For Exercises 10 and 11, write and solve an equation.
FINANCIAL LITERACY A store is having a sale where all jeans are off the regular price. Write an equation
relating the sale price to the regular price. How much would a pair of $29 jeans cost on sale?
g
Cost
7g
6 7(6) = $42
7 7(7) = $49
8 7(8) = $56
9 7(9) = $63
10 7(10) = $70
$16:(5
yes
Complete each conversion. Round to the nearest hundredth, if necessary.
LQ§B cm
62/87,21
8VHLQ§FHQWLPHWHUV
$16:(5
10.16
/§ B gal
62/87,21
8VH/§JDO
$16:(5
1.32
OE§B kg
62/87,21
8VHOE§NJ
$16:(5
681
\G§ _ m
62/87,21
8VH\G§P
$16:(5
12.8
Express each rate as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
62/87,21
The unit rate is 23.3 miles per gallon.
$16:(5
23.3 miles per gallon
19 yards in 2.5 minutes
62/87,21
The unit rate is 7.6 yards in 1 minute.
$16:(5
7.6 yards per minute
236.7 miles in 4.5 days
62/87,21
The unit rate is 52.6 miles per day.
$16:(5
52.6 miles per day
331.5 pages in 8.5 weeks
62/87,21
The unit rate is 39 pages per week.
$16:(5
39 pages per week
eSolutions Manual - Powered by Cognero Page 1
6-4 Proportional and Nonproportional Relationships
Determine whether the set of numbers in each table is proportional. Explain.
62/87,21
Write the rate of blue paint to yellow paint for each quart in simplest form.
The rates are not equal. So, the amount of yellow paint is not proportional to the amount of blue paint.
$16:(5
No; the rates are not equal.
62/87,21
Write the rate of ice tea mix to sugar for each quart in simplest form.
Each rate is equal to . So, the amount of sugar is proportional to the amount of ice tea mix.
$16:(5
Yes; each rate is equal to .
GASOLINE The cost of 13 gallons of gasoline is $41.47. Write an equation relating cost to the number of gallons of
gasoline. How much does 18.5 gallons of gasoline cost?
62/87,21
Find the constant of proportionality.
or 3.19
The cost is $3.19 times the number of gallons of gas, g. The equation is c = 3.19g.
To find the cost of 18.5 gallons of gas, substitute 18.5 for g.
18.5 gallons of gas cost $59.02.
Step-by-step explanation: sorry the answer is C
8x + 5x what is it simplify
Answer:
13x
Step-by-step explanation:
you would just add the 2 numbers together and then keep the variable. if you know the variable (if there’s a sheet to go off of) then multiply and add but otherwise it’s just 8 + 5 then add an x. 13x
=====================================================
Explanation:
x is a placeholder for a number. Think of it like a box holding a number. Conveniently, the letter 'x' is in the word 'box', so its naturally fitting to use x here.
Writing 8x could represent the idea of us having 8 boxes that are identical. Adding on 5x means we add on 5 more boxes. This leads to 8+5 = 13 boxes in total.
This is one way to see how 8x+5x = 13x
Another way is to write it like this: 8x+5x = (8+5)x = (13)x = 13x. I used the distributive property here.
Combining these terms is possible because 8x and 5x are like terms. They have the same variable and same exponent. We're adding two of the same type of object together.
Someone help with this please
a12 means that the exponent of an arithmetic function is 12
TRUE or FALSE
What is 3/4 x 6 , simplified .
Answer:
9/2
Step-by-step explanation:
3/4 x 6 can be thought of as multiplying 3/4 x 6/1
When multiplying fractions, multiply the numerator (top number) with the numerator, and the denominator with the denominator.
3/4 x 6/1 = (3x6)/(4x1)
3/4 x 6/1 = (18)/(4)
3/4 x 6/1 = 9/2
Let me know if this helps!
Answer:
92/
Step-by-step explanation:
3/4×6
18/4
9/2
hope it's helpful ❤❤❤❤
THANK YOU.
#
1 of 5
The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many
students are girls?
Answer:20 girls
Step-by-step explanation:the difference between 3 and 4 is one so there will be a difference of one between the 2 questions.
-6 + -8 10 points plz help
Answer
The answer is negative 14.
Step-by-step explanation:
When you add a negative by a negative it equals a negative. Like if you add 1 + 1 it's going to equal 2 which is a positive, not a negative. So the answer is technically 8 + 6 which is 14 and all you have to do is add a negative sign.
(s3−2s−9)+(2s2−6s3+s)
please help!
One number is 5 more than another. The sum of thrice the small plus twice the larger is 50
What are the two numbers?
A: 8
B: 10
C: 7
D: 13
E: 5
F: 15
G: 12
All of the following are equivalent except
1) 4 y
2) (4) (Y)
3) 4•Y
4)4+ y
What is the acceleration of a car that goes from 65 km/s to 125 km/h in 5 seconds?
PLEASE SHOW WORK!
43. Given the conditional: "If a bachelorette does not receive a rose, then she must leave the
show." The converse would be:
A. If a bachelorette leaves the show, then she did not receive a rose.
B. If a bachelorette does not leave the show, then she did receive a rose.
C. If a bachelorette does receive a rose, then she must not leave the show.
D. A bachelorette must leave the show if and only if she does not receive a rose.
Answer:
the first time I get to the house w the flow I can go all night w and get a
please answer thoroughly :)
Answer:
Step-by-step explanation:
nineteen less than a number is 25 write the equation
Answer:
6
Step-by-step e
(3,4) and (18,24) are ordered pairs on a line that represents a proportional relationship. which other ordered pair could be on the line?
Given that f(x) = x + 3/2
a) Find f(2)
b) Find f^-1(x)
c) Find f^-1(12)
Step-by-step explanation:
f(x) = x + 3/ 2
For a
f(2) = 2 + 3 / 2
= ( 4 + 3 ) /2
= 7/2
For b
f(x) = x + 3/2
f^-1(x) = ?
Let y = f(x)
y = x + 3/2
Interchanging the roles of x and y we get,
x = y + 3 / 2
y = x - 3 / 2
Therefore f^-1(x) = x - 3 / 2
For c)
f ^ -1(12) = 12 - 3 / 2
= (24 - 3) / 2
= 21 / 2
Hope it will help :)
solve the inequality 3x + 4 < 14
What is the slope of the line that passes through the points
(
4
,
−
2
)
(4,−2) and
(
24
,
−
17
)
?
(24,−17)? Write your answer in simplest form.
Answer:
-3/4Step-by-step explanation:
Given the coordinates (4, -2) and (24, -17), we are to find the slope of the line passing through the points
Slope = y2-y1/x2-x1
Slope = -17-(-2)/24-4
Slope = -17+2/20
Slope = -15/20
Slope = -3/4
Hence the required slope is -3/4
find 5 + (-2)
What is the answer to this?
Answer:
3
Step-by-step explanation:
Find the product.
Please help it means a lot thx
(3x + 7)^2
Answer:
9x + 49
Step-by-step explanation:
(3x+7)^2
9x + 49
Ed earns $40 working at a supermarket after school. He earns $64 working there on a
Saturday. He worked 2 days after school and 1 Saturday, How much did he earn that week?
Answer:
$144
Step-by-step explanation:
$40+$40+$64= $144
What is the value for A? What is the value for B? What is the value for C? What is the value for D?
Step-by-step explanation:
step 1. we must assume the ratio of flour to sugar is 2:1.
step 2. A = 2(3/4) = 3/2 1-1/2.
step 3. B = 1-3/4(1/2) = 7/4(1/2) = 7/8
step 4. C = 1(2) = 2
step 5. D = 2-1/2(1/2) = 5/2(1/2) = 5/4 = 1-1/4.
What is the coefficient of 8 term in the expansion of 2( + 1)10?
Answer:
180
Step-by-step explanation:
2(8+1)10
add the number in parenthesis
2(9)10
18x10
180
HELP DUE IN 1 HOUR !!
Answer:
-7/12
Step-by-step explanation:
Answer:
-7/12
Step-by-step explanation:
-1/3 - 1/4 becomes -4/12 - 3/12
this is because 12 is the common denominator for both fractions. then subtract the numerators because when you add or subtract fractions, the denominator stays the same.
-4 - 3 = -7
the answer is
-7/12
the answer cannot be simplified so it remains the same
A toy rocket lifts off at an initial velocity of 102 feet per second from a height of 10 feet. The height of the rocket can be modeled by the equation h = – 16t2 + 102t + 10, where ‘t' is the time in seconds. When will the rocket hit to the ground?
Answer:
6.47secs
Step-by-step explanation:
Given the height of the rocket modelled by the equation;
h = – 16t^2 + 102t + 10, where ‘t' is the time in seconds
The rocket will hit the ground at h = 0
Substitute into the equation
– 16t^2 + 102t + 10 = 0
Multiply through by -1
16t^2-102t-10 = 0
t = 102±√(102)²-4(16)(-10)/2(16)
t = 102±√10404+640/32
t = 102±√11044/32
t = 102 ±105.09/32
t = 102+105.09/32
t = 207.09/32
t = 6.47secs
Hence it will take 6.47secs for the rocket to hit the ground
Use the following function rule to find f(12). f(x)=10x-4, f(12)=
f(x)=10x-4, f(12)= 116
The value of the function f(x) = 10x - 2 at f(12) is 114.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 10x - 4.
To find f(12) we have to replace x with 12 in the function f(x).
∴ f(12) = 10(12) - 4.
f(12) = 120 - 4.
f(12) = 114.
learn more about functions here :
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What would be the best method to solve
the system of equations below?
6x + 3y = 21
2x – 3y = -13
Elimination method is the best method to solve the system of equations below
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations
6x + 3y = 21...(1)
2x – 3y = -13...(2)
Add equations (1) and (2)
6x+3y+2x-3y=21-13
8x=8
Divide both sides by 8
x=1
Now plug in x value in equation 1
6+3y=21
Subtract 6 from both sides
3y=15
Divide both sides by 3
y=5
By Elimination method we find the values of x and y.
Hence, Elimination method is the best method to solve the system of equations below
To learn more on Equation:
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Help Julie has the boxes of pens
Answer:
A=C+16
Step-by-step explanation:
Decrease £101 by 43%
Give your answer rounded to 2 DP.
£
Answer:
10
Step-by-step explanation:
round it by 2 and there you go!
is x equals 12 a solution to the equation 6 + x = 19
Answer:
13
19 minus 6 is equal to 13 so your answer would be thirteen
Ariel swims 2 1/6 miles in every 1/3 hour.Enter the number of miles Ariel swims in 1 hour.
Answer:
6.5 miles
Step-by-step explanation:
If she travels 2 1/6 in 1/3 hours you would simply multiply by 3 because she would need to travel 2 1/6 miles three times in order for an hour to pass.
