The cost of a car rental is $25 per day plus 22 per mile. You are on a daily budget of $90. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer: You can drive, at most, 2.95 miles per day.
x ≤ 2.95
Step-by-step explanation:
In a single day, you can spend at most $90
Then if C represents the cost of renting the car, then we will have the inequality:
C ≤ $90
Now let's find the equation for C.
We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:
C = $25 + x*$22.
We can now replace that in the inequality:
$25 + x*$22 ≤ $90
Now let's isolate the variable x
x*$22 ≤ $90 - $25
x*$22 ≤ $65
x ≤ $65/$22 = 2.95
x ≤ 2.95
You can drive at most, 2.95 miles per day.
To find other inequalities with the same solution we can start with the solution:
x ≤ 2.95
Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)
Let's multiply both sides by $10:
x*$10 ≤ 2.95*$10 = $29.5
x*$10 ≤ $29.5
Now let's add the same number in both sides, for example, $5.
x*$10 + $5 ≤ $29.5 + $5 = $34.5
x*$10 + $5 ≤ $34.5
We could write this problem as:
"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"
You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.
Decimal or fraction form round all the way!
Answer:
The answer to the question provided is
[tex] \frac{1}{4} [/tex]
Simply please will give brainlist to first correct answer
What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Identity property/ Associative Property
fifteen more than twice a number is -23
Answer:
15+2x=-23
Step-by-step explanation:
Answer:
15+2x=-23
Step-by-step explanation:
Harry purchased a table with Rs. 7000 and sold it at an amount of Rs. 7900. Find his gain percent.
Answer:
12%
Step-by-step explanation:
Answer:
12.89%
Step-by-step explanation:
[tex] \frac{900}{7000} \times 100 = 12.85714286[/tex]
30 points! RIGHT ANSWER GETS BRAINLIEST!
Use 3 for pi. Area= (blank) circumference= (blank) meters
Answer:
Step-by-step explanation:
pi x 7 squared = 153.938040026
increase 19060 by 9%
Answer:
0.05
Step-by-step explanation:
brainliest plz
OMG HELP OMG HELP OMG HELP
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
3 bouquets of 3$ is 3*3 = 3^2
4 bouquets of 2$ = 2 * 4
find the zeros of the function by factoring 3x^2+ 10x=8
Answer:
[tex]x=\frac{2}{3}, -4[/tex]
Step-by-step explanation:
hope this helps!
An airplane ascended into the sky to a steady altitude of 35000 feet. The same plane descended to a steady altitude of 32000 feet. How many feet did the airplane descend
Answer:
3000 feets
Step-by-step explanation:
Given that :
Initial Ascent to steady altitude = 35,000 feets
Descent to steady altitude = 32,000 feets
Number of feets the plane descend :
(Initial ascent to steady altitude - descent to steady altitude)
(35000 - 32000) feets = 3,000 feets
Jeff spends half of his paycheck he gives 1/3 of the remaining money to the charity and put the rest in the bank what fraction does he put in the bank
(4x²-23x-16) : (x+5)
Answer:
4x^3+26x^2-39x-195
Step-by-step explanation:
Answer:
-22x + 4x²- 11
Step-by-step explanation:
1(4x²-23x-16) (x+5)
4x²-23-16 + x +5
-23+ x +4x² - 16+5
-22x + 4x² - 11
HELPPP
Ali and Jake went on a cross-country
trip. They took a train part of the way,
and took a bus the rest of the way. They
traveled a total of 1100 kilometers,
riding on the train 350 more kilometers
than on the bus.
Let x = kilometers traveled by bus. Let
y = kilometers traveled by train.
Answer:
so what are we trying to figure out?
Step-by-step explanation:
Serenity is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. The total cost of renting the truck can be modeled by the equation C=50+2.75m,C=50+2.75m, where mm is the number of miles driven. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
Step-by-step explanation:
102.77
7th grade math help me please :))
Answer:
a) 23x
b) 8n
c) -6y
d) -17w
Explanation:
When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.
a) 9x + 14x = (9+14)x = (23)x = 23x
b) -2n - 10n = (-2+10)n = (8)n = 8n
c) 8y - 14y = (8-14)y = (-6)y = -6y
d) -6w - 11w = (-6-11)w = (-17)w = -17w
Answer:
a: 23x
b: 8n
c: -6y
d: -17w
Step-by-step explanation:
you just add/subtract the numbers then add the variable at the end
Tommy earned $5 mowing the lawn on Saturday. He earned more money on Sunday. Write an equation that shows the amount of money Tom has earned
Answer:
f(x)=2x+5
Step-by-step explanation:
If you think about it, 5 is the y intercept, meaning the money he earn that day. While Sunday, he earned more which is the Slope of 2x because its 2 times the number. And you add them together, and there you go.
Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.
Answer:500
Step-by-step explanation:
Can u pls help me with this question
For fx), evaluate the following:
a. (0)
b. (6)
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
Let us solve the question
∵ f(x) = x + 4 if x < 5 ⇒ First part
→ That means if x less then 5 we will use this part of f(x)
∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part
→ That means if x = 5 or greater than 5 and less than 7, we will use
this part of f(x)
∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part
→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,
we will use this part of f(x)
a. The value of f(0)
∵ x = 0
∵ 0 < 5
→ That means we will use the first part of f(x)
∵ f(x) = x + 4
∴ f(0) = 0 + 4
∴ f(0) = 4
b. The value of f(6)
∵ x = 6
∵ 6 is between 5 and 7
→ That means we will use the second part of f(x)
∵ f(x) = 8
→ It means the value of f(x) is 8 for any values of x from 5 to less than 7
∴ f(6) = 8
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?
The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.
How to find the equation of a line perpendicular to another?The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.
Therefore,
y = mx + b
where
m = slopeb = y-interceptHence,
3y = -2x + 15
y = -2 / 3 x + 5
For line to be perpendicular it must follow the following rules;
m₁m₂ = -1
m₁(-2 / 3) = -1
-2m₁ = -3
m₁ = 3 / 2
Therefore, the equation can be found as follows:
3 = 3 / 2(1) + b
3 = 3 / 2 + b
b = 3 - 3 / 2
b = 6 - 3 / 2
b = 3 / 2
Hence,
y = 3 / 2x + 3 / 2
learn more on equation of a line here: https://brainly.com/question/21511618
#SPJ2
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
pls help. i have to write it in exponential form
X × X - X × X × X × X × X + 17= X × X × X + 2
A cake was sliced into 8 parts. If each of these kids gets a slice of cake, what part of the cake will be left? Will the remaining cake be enough if there will be 5 more kids coming?
Step-by-step explanation:
Hello can you please give the amount of kids first?
2) 50 apples cost $25. How much would 75 apples cost?
Answer:
50 : 25 = 75 : 37.50
Step-by-step explanation:
If 50 apples cost $25, that means 2 apples cost $1.
75 apples cost 37.5, or $37.50
Y varies with x. When y=39, x=3. Find the value of y when x=2
Answer:
[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]
26 is the right answer.You had a goal to collect 150 cans for a food drive. You were able to collect 90 cans. What percent of your goal did you collect?
Answer:
60 %
Step-by-step explanation:
multiply .90 * 150
Answer:
60%
Step-by-step explanation:
hope this helps <3
is a hotdog a taco or a sandwitch?
Answer:
Step-by-step explanation:
None of them
Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink
Answer:
[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
Step-by-step explanation:
Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]
Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part
= [tex]\frac{3}{4}\times \frac{4}{5}[/tex]
= [tex]\frac{3}{5}[/tex]th part of the bottle
Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
Given points H, I and J and HI = 9,1J = 9 and HJ = 16 . Are the three points collinear?
Answer:
Yes, the three points are collinear.
Step-by-step explanation:
None.