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.
HI PLEASE HELP : if a man walks the rate of 2 feet per second , how many minuets will it take him walk 4320 feet.
please help! :)
Answer:
32.25 minutes
Step-by-step explanation:
2 feet: 1 second
4230 feet: 2115 seconds
2115 as a minute is 32.25 minutes
please mark me as brainliest!!!<3
How far would you travel if you drove 60 miles per hour for 3 hours?
please help i dont wanna fail my dad is making it hard already and my dinner is almost done...
Answer:
Without stopping? 180 miles
Step-by-step explanation:
convert y = -2x +5 to point slope form
Answer:
Converting y = -2x +5 to point-slope form will be:
[tex]y - 5 = -2(x-0)[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
y = mx+b
where
m is the slopeb is the y-interceptGiven the equation
[tex]y = -2x +5[/tex]
comparing with the slope-intercept form
Slope of the line = m = -2
The y-intercept b = 5
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Thus, the ordered pair or point representing the y-intercept will be:
(0, 5)Now, we have
The slope = m = -2The point = (0, 5)Now, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = -2 and the point (x₁, y₁) = (0, 5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 5 = -2(x-0)[/tex]
Therefore, converting y = -2x +5 to point-slope form will be:
[tex]y - 5 = -2(x-0)[/tex]PLSSSSSSS HELP 9th Grade Math
Answer:
Here's 9th grade answer from one high-schooler to another
Step-by-step explanation:
The answers 9 i believe since you have to isolate the variables and subtract them
in algebra class with 30 students kids were put in groups of 4 if 2 students were left over how many groups of 4 students will there be
Answer:
7 groups of 4.
Step-by-step explanation:
hope this helps!
Help can you please solve this.
Answer:
x= -2
Step-by-step explanation:
7x+26+5x=2
7x+5x=12x
12x=2-26
12x= -24
(divide both sides by 12)
x= -2
Answer:
[tex]7x + 26 + 5x = 2 \\ 12x = 2 - 26 \\ 12x = - 24 \\ x = - 2[/tex]
plzz mark as brainliest
The total surface area of this cuboid is 112cm^2. Find the value of x.
Please help, I’m really struggling.
Answer:
12544/20=627.2
Step-by-step explanation:
I might be wrong Sorry If I am
Answer:
3
Step-by-step explanation:
please help!! thanks
Answer:
We conclude that the gradient of the line is: 2/3
Step-by-step explanation:
It is clear that the given graph represents a line or linear function.
From the graph, taking two points
(3, 0)(0, -2)Finding the gradient or slope of the line
Using the formula
Gradient = m = [y₂ - y₁] / [x₂ - x₁]
= [-2 - 0] / [0 - 3]
= -2 / -3
= 2/3
Thus, the slope of the line = m = 2/3
Therefore, we conclude that the gradient of the line is: 2/3
You start at (-1, 2). You move right 5 units and down 6 units. Where do you end?
Answer:
(4,-4)
Step-by-step explanation:
Just plot it or like I did it like this
Since moving right or left is X axis, just add 5 to -1 becuase its ont he X axis
Then for the bottom and up, thats Y so subtract that to the Y axis so 2-6=-4
4,-4
find the area and perimeter of the shape below
Step-by-step explanation:
what is that X, and X²???
Solve for x: x — 10 = 3х – 12
Answer:
x=1
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x−10−3x=3x−12−3x
−2x−10=−12
Step 2: Add 10 to both sides.
−2x−10+10=−12+10
−2x=−2
Step 3: Divide both sides by -2.
−2x/−2 = −2/−2
x = 1
Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting
charges $10 plus $9 per hour. Darlene's Dog Sitting charges $18 plus $7 per hour?
Answer
The cheaper dog sitter is Derrick's.
Step-by-step explanation:
You did not really ask a question here but i am assuming that your asking who is the cheaper route.
help i need to know this quickly please
Answer:
i dont know
Step-by-step explanation:
sorry but pleasr still work hard!
Please help me I I will give you a Brainly
Step-by-step explanation:
by deleting
9y = -9
y = -1
6x - 4 = -10
6x = -6 then x = -1
PLS HELP!! There are 8 lifesavers in a roll and 3 of them are red. What is the probability of opening the roll and the 1st lifesaver is red? Write as a percent. (Only one end of the roll can be opened)
Answer:
37.5 percent (3/8)
Step-by-step explanation:
The rate of people entering a safari tour is modeled by the equation p(t) = 200e ^ (- t) for the first 5 hoursEstimate the population density on a 2.000 km ^ 2 animal reserve for t = 2 to t = 4usir using the midpoint sum approximation with 6 subintervals . Round to the nearest person .
Answer:23
Step-by-step explanation:
write the rate as a unit rate of 120 and 15
A baseball team played 160 regular season games. The ratio of the number of games they won to the number of games they lost was three fifths. How many games did they win
Last year George sold $82 worth of vanishing potion. This year he sold $118 of it. What percent of last year's sales is this year's sales?
Answer:
70%
Step-by-step explanation:
Given data
Last years worth of vanishing potion= $82
This years worth of vanishing portion= $118
Note: Another way of asking this question is "what percent of $82 is $118"
So
=82/118*100
=0.69*100
=69%
=70% approx
Hence last years sale is 70% of this year's sales
find a quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively
Answer:
x²+3x+2
Step-by-step explanation:
According to Vieta's formula x²-(sum of roots)x((product of roots)=0
Therefore x²-(-3)x+2=0
=x²+3x+2
Help me plz.................
Answer:
x = 7.5
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
6x = 45 ( divide both sides by 6 )
x = 7.5
solve by factorising x² + 11x + 30 = 0
dont get think one could someone explain this please.
Answer:
x={-5,-6}
Step-by-step explanation:
x²+11x+30=0
x²+5x+6x+30=0 (as 5*6=30 and 5+6=11)
x(x+5)+6(x+5)=0
(x+5)(x+6)=0
so
x+5=0
x+6=0
therefore
x=-5
x=-6
Answer:
x = - 6, x = - 5
Step-by-step explanation:
Given
x² + 11x + 30 = 0
Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)
The factors are + 6 and + 5 , since
6 × 5 = 30 and 6 + 5 = 11, then
x² + 11x + 30 = 0
(x + 6)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 5 = 0 ⇒ x = - 5
A box of cereal advertises that it now has 250% as many raisins as the old package had. If the old package had 2 cups of raisins, how many cups of raisins are in the new box?
A. 3
B.. 5
C. 6
D. 8
answer: B.5
i got the answers from the test
Answer:
b5
Step-by-step explanation:
suppose a number cube labeled from 1 to 6 is rolled and the spinner below is spun one time. what is the probability of rolling a number less than 4 and spinning a consonant?
Answer:
3/10
Step-by-step explanation:
.
what's 1/4 x 1/3 please
Answer:1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
PLEASE HELP AS SOON AS POSSIBLE!!!!WILL GIVE BRAINLY TO CORRECT ANSWER!!!!
Answer:
The correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]
Option D is correct option.
Step-by-step explanation:
The circumference of table top = 24 [tex]\pi[/tex] inches
We need to find area of table top
The formula used to find area is: [tex]Area = \pi r^2[/tex]
We need to find radius of tabletop.
The formula used to find circumference is: [tex]Circumference = 2\pi r[/tex]
Putting value of circumference we can find radius
[tex]Circumference = 2\pi r\\24\pi =2\pi r\\r=\frac{24\pi}{2\pi}\\r=12[/tex]
So, radius of table top = 12
Now, finding the area:
[tex]Area = \pi r^2\\Area=\pi(12)^2\\Area=3.14(144)\\Area=452.16\:inches^2[/tex]
So, the correct option which best describes this method is:
Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]
Option D is correct option.
Find the value of c. Give the answer in simplest radical form.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + (2[tex]\sqrt{2}[/tex] )² = 4²
x² + 8 = 16 ( subtract 8 from both sides )
x² = 8 ( take the square root of both sides )
x = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]
Is the product of 41/32 and 12/46 greater than, less than or equal to 12/6?
Is the product of 41/32 and 12/46 greater than, less than or equal to 12/6?
Solution:Step 1: Find the product of 41/32 and 12/46.[tex] \frac{41}{32} \times \frac{12}{46} [/tex]
[tex] = \frac{41}{8} \times \frac{3}{46} [/tex]
[tex] = \frac{123}{368} [/tex]
Step 2: Compare.[tex]123 \times 6 = 738[/tex]
[tex]368 \times 12 = 4416[/tex]
[tex]738 < 4416[/tex]
[tex] \frac{123}{368} < \frac{12}{6} [/tex]
Answer:less than
#CarryOnLearning
Emma is playing miniature golf. Her ball is 2 feet of the right-wall. The hole is 4 feet to the left of the wall. The distance along the wall between her ballet and the hole is 18 feet. There is an obstacle between between her ball and the hole, so Emma must hit her ball off the right-hand wall to reflect it towards the hole. How far down the wall should she aim?
Answer:
She should aim 6 feet down the wall
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
x/4 = y/2 ⇒ x = 2y
You have other equation:
x+ y = 18
Substitute
2y + y = 18
3y = 18
y = 18/3
y = 6 ← this is the distance down the wall where the ball should hit
x = 2(6) = 12
Then, she should aim 6 feet down the wall.
solve for x
4х + 2 = 3х - 7