Answer:
x = -5
Step-by-step explanation:
-6x - 15 = 4x + 35
+ 15 + 15
-6x = 4x + 50
-4x - 4x
-10x = 50
-10x/-10 = 50/-10
x = -5
2) The cost of gasoline is directly proportional to the number of gallons of gasoline purchased. Ms. Butcher paid $25.20 for 12 gallons of gas. If c represents the cost in dollars and grepresents the gallons of gas purchased, which equation best represents this relationship?
(a) c = 0.489
(b) c = 2.1g
(c) c = 25.20g
(d) c = 302.4g
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
Solve 3x - 5 = 16
Write your solution starting with x= .
Answer:
x =7
Step-by-step explanation:
To solve this, you must get x by itself.
3x-5 = 16 1. Add 5 on both sides
3x = 21 2. Divide by 3 on both sides
x = 7
The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.
Answer: y – 3 = –1/7(x – 3)
A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [
Answer:
y = 4x+3
Step-by-step explanation:
The equation in point slope form is expressed as y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
If a line is parallel to y = 4x + 1, the slope of the line m = 4
Substitute m = 4 and the point (-2, -5) into the equation above;
y - (-5) = 4(x - (-2))
y+5 = 4(x+2)
y+5 = 4x+8
y = 4x+8-5
y = 4x + 3
Hence the equation of the line is y = 4x+3
Which of the following statements could be translated to the equation n - 5 = -2?
A number less than five equals negative two.
The difference between a number and five is negative two.
If five is subtracted from a number, the result is two.
Five less a number is equal to two.
Answer:
its the first one i believe
Answer:
I believe it's, The difference between a number and five is negative two.
Step-by-step explanation:
Pls help me!
It’s Aleks homework 5.3
A plant is already 54 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after M months is given by the following.
What is the plant's height after 13 months?
Answer:
67 cm
Step-by-step explanation:
We are given the initial height of the plant let's call it H.
H = 54 cm. This is the original height of the plant at M(months) = 0.
We are given that it grows at 1 cm/month. This is the rate of growth.
Rate = 1
Time (M) is given in Months.
So when M = 0, H = 54
Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.
When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.
H = 1M + 54.
Now we just plug in 13 for M, to get 13 months.
H = 13 + 54
H = 67 cm
So our plant would be 67 cm in height after 13 months.
HELP I NEED HELP ASAP
Stacy reasons that since dilations change lengths they also change angles by the same factor. Is she correct? If not, explain why, I will list brainlist if you reply fast
Answer:
Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.
Step-by-step explanation:
just took the quiz :)
Solve the question to get brainliest
Answer:
D..................
Step-by-step explanation:
Have a nice day
I need help, I need to find the value of j, thank you
Step-by-step explanation:
[tex] \sin(x) = \frac{8}{10} \\ x = 53.13[/tex]
[tex] \sin(53.13) = \frac{4}{j} \\ j = \frac{4}{ \sin(53.13) } = \frac{4}{0.8} = 5[/tex]
Subtract f(x) and g(x) when:
f(x) = 3.2 + 2x - 8 and g(x) = 72 – 8x + 4
f(x) - g(x) =
Step-by-step explanation:
The answer is
[tex]10x - 80.8[/tex]
18) Which of the following situations can be represented by a
proportional relationship?
A. David has $100 in his savings account and adds $5
per week.
B. The initial fee for a website is $60 and $44 per month
to maintain the website.
C. The cost to rent a beach house is a $200 deposit and
$400 per night.
D. Linda earned $8.00 per hour at her summer job.
The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?
Answer:
the new coords are (2,-3) the new y coord is -3
Step-by-step explanation:
Step-by-step explanation:
Of course the new coordinates are (2,-3)
Hope it helps....
'cause you know better.....
I NEED HELP FAST PLEASE :)
Answer:945
Step-by-step explanation:
Calculate the value of (6.72 x 10^5) + (3.2 x 10^4)
Give your answer in standard form.
Answer:
7.04× 10^5
Step-by-step explanation:
6.72 x 10^5= 6.72 x 10^(4+1)= 6.72 x 10^1 ×10^4
= 67.2 x 10^4
(67.2 x 10^4)+ (3.2 x 10^4)
(67.2+3.2) × 10^4 = 70.4 × 10^4
7.04× 10^5
Answer:
7.04× 10^5 Step-by-step explanation:
I NEED HELP PLEASEE ASAP
Answer:
7. open & shade right
4. ∞>x>=11
5. 10.5<x<∞
9. closed & shade right
Step-by-step explanation:
Answer:
Step-by-step explanation:
K < 8= open circle on 8 shade left
d < 4 = open circle on 4 going to the left
9. closed circle on 13.5 going to the right
Im not sure about the others but h oped this helped!
A student walks at a rate of 1.5 meters per second for 4 seconds and then stops for 4 seconds. Then the student
continues walking at the original rate.
Which graph best represents the student's walk?
Answer:
A
Step-by-step explanation:
I finished the question and got it right
Graph is a way to represent a lot of data in a visual formal. The graph that best represents the student's walk is graph A.
What is a graph?A graph is a way to represent a lot of data in such a visual formal that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
As we can see that the y-axis of the graph represents the distance traveled by the student while, the time taken by the student to cover the distance is given on the x-axis.
We know that the rate of 1.5 meters per second, means that the student will cover the 1.5 meters in 1 second, therefore, the line will be a slope that will represent the walk of the student. At time t=4 seconds, a student stopped for 4 seconds therefore, the time will increase but the distance will be constant for the student, therefore, the situation will be represented by a horizontal line.
Hence, the graph that best represents the student's walk is graph A.
Learn more about Graph:
https://brainly.com/question/14375099
"Sophia and Rebecca's conversations only."
Answer:
Step-by-step explanation:
Yes
if f (x) = -x - 7 what is f (-3)
Plz help
Answer:
f(-3) = -4
Step-by-step explanation:
f(-3) = -(-3) - 7
= 3 - 7
= -4
The accompanying diagram shows two triangles. Which proportion could be used to solve for x ?
What is the value of f if 9f+11=3f+23
Answer:
The value of the problem is 2
Step-by-step explanation:
Provide an exact evaluation of the expression:
-1/2 is the answer hope it's correct
Use the quadratic formula to solve 2x2 + 2x - 12?
Answer:
2,-3
Step-by-step explanation:
i did the math lol- trust me
Answer:
yellow: 2 & -3
Step-by-step explanation:
Help please will give brainliest
Answer:
the first one
Step-by-step explanation:
have a great day
Calculate the area of the parallelogram, giving your answer correct to 3 significant figures.
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
What are integers?
Please give your best explanation and a simple example (worth 20 points)
Integer is a subset of Real Number. It can be broken into these following:
Positive IntegerZeroNegative IntegerInteger can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.
Integers are like Natural or Counting Numbers except they have 0 and negative numbers.
Positive IntegerPositive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...
ZeroZero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.
Negative IntegersNegative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...
Integers are whole numbers with a positive or negative counterparts.
If that doesn't make sense let me make some examples
-4, 100, 9300 would be integers. Using my definition they all have negative or positive counterparts.
-2.3, 7.8888(etc.) 2/3 would not be integers. Even though -2.3 and 7.8888(etc.) have negative/ positive counterparts they are not whole numbers.
Hope that helped!
Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, what is the value of A? Give only the numeric value of A, and do NOT give variables in your answer.
Answer:
b
Step-by-step explanation:
.....
can someone please help?
Answer:
g
Step-by-step explanation:
During their field trip the students had the following lunch options. For their main meal they had four options: Sandwich, Burger, Pizza and Chicken Tenders. For drinks their options was limited to two options Water and Gatorade. And for their side order they had two options: chips or fries. What is the probability than the next person will choose to have Chips for their meal?
Answer:
50%
Step-by-step explanation:
beacuse their are only 2 options which means 50% for each option. so when the student goes to pick there is a 50% chance their pick either one.