Answer:
166.67 miles.
Step-by-step explanation:
let the number of mile for which the cost for both car rental be same is x mile
For first car rental
weekly fees charged = $10
cost of 1 mile = $0.29
cost of x miles = x*cost of 1 mile = $0.29x
total money charged by first car rental = $10 + $0.29x
For other car rental
weekly fees charged = 0
cost of 1 mile = $0.35
cost of x miles = x*cost of 1 mile = $0.35x
total money charged by other car rental = $0.29x
_______________________________________
since we have to find miles for which charges are same
thus
total money charged by first car rental = total money charged by other car rental
10 + 0.29x = 0.35x --------------------equation required
=> 10 = 0.35x - 0.29x
=> 10 = 0.06x
=> x = 10/0.06 = 166.67
Thus, the number of miles for which both agencies will charge the same is 166.67 miles.
The menu price of a sandwich at a restaurant is $6. The purchase is subject to a 5% food tax, and you would like to leave a tip of 20% on the pre-tax cost. How much tax do you pay? How much of a tip should you leave? What is the total cost of your meal, after tax and tip?
Answer: See explanation
Step-by-step explanation:
Price of sandwich = $6
Food tax = 5% of $6
= 0.05 × $6
= $0.3
Tip = 20% of $6
= 0.2 × $6
= $1.2
Total cost of meal:
= $6 + $0.3 + $1.2
= $7.5
Answer: 1: $0.30 2: $1.20 3: $7.50
Step-by-step explanation:
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
-10m + 200 = 60
50m +200 = 60
-10m + 140 = 60
-50m +140=60
Answer:
M/140 = 50/60
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
Does this graph show the set of all solutions for 7x +2y = -14?
Answer:
yes
Step-by-step explanation:
y= -7/2x -7
Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.
The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
7+ (-5)+(-2)=0
7+ (5)+(2)=0
7+(-4)+(-3)=0
7+(-6)+(-1)=0
Answer:
1. true
2. false
3. true
4. true
(WILL MARK BRAINLIEST)
The graph of f(x) = 2 + 3 is translated to produce
the graph of g(x) = (x + 2)+ 3. In which direction
was the graph of f translated?
A. up
B. down
C. left
D. right
Answer:
down
Step-by-step explanation:
Lines Project Journal
need help for number 3
Answer:
Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.
Example:
Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).
First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.
We have: |-2-(-7)| = |5| = 5.
Then repeat with the y-coordinates.
We have: |8-(-5)| = |13| = 13.
NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.
Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:
[tex]5^{2}[/tex] + [tex]13^{2}[/tex] = 25 + 169 = 194
Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:
[tex]\sqrt(194)[/tex] = 13.93
By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.
The general formula for distance between two points is the following: [tex]\sqrt{x^2+y^{2}[/tex] , where x and y are the change in x and y between the two points.
What is the range of the function
graphed below?
(3,3)
Bart earns $6.30 per h. If his regular pay last week was $236.25, how many hours did he work?
Answer:
Bart worked 37.5 hours last week (37 1/2).
Step-by-step explanation: Divide total pay by rate per hour (in this case $6.30 per hour.)
$236.25 (the total) / $6.30 (money per hour) = 37.5 or 37 1/2
Which of the following statements contain a variable?
A. The time it takes to wash the dishes plus 30 minutes.
B. The age of my friend.
C. The number of kittens in a litter.
D. There are 24 hours in a day.
Jane baked the kinds of fruit bars shown in the table below.
Kind of Fruit Bar Number
Apple
51
Peach
36
Plum
84
Part A
Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?
Answer:
I THINK the answer is 57
Step-by-step explanation:
Add 51 + 36 + 84
Divide 171 by 57
57 is the most that can go into 171 evenly.
Can someone help me please
Answer:
its c
Step-by-step explanation:
took the testisk...........
solve the question please
Suppose the equation of line t is y=x
Answer:
Hi
Step-by-step explanation:
Please answer this question
Answer:
she is running at a constant speed
Step-by-step explanation:
the bar is still because she isnt going faster or slowing down she is constant
Answer:
D: She is at a constant speed.
Step-by-step explanation:
she is not acceleraring or decelerating, so her speed is constant
Figure out what x and y are. Please explain well!
Answer:
(2y+50)+(7x-248)=180 (solve for x and y) supplementary angles add up to 180 and these two angles are supplementary complements
(5y-17) + (x+44) = 180 (solve for x and y)
Step-by-step explanation:
A state lottery randomly chooses 8 balls numbered from 1 through 37 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.
Answer: No, the experiment is not binomial
Step-by-step explanation:
From the formula for a binomial distribution :
nCx * p^k * q^(n - x)
n = number of trials (fixed)
x = number of success on trial
p = probability of success (which is the same for each trial).
q = (1 - p) = probability of failure (same for each trial)
Binomial experiment have binary outcome ; Either Success or Failure
The experiment described above :
Number of trials is satisfied (8 picks)
Binary outcome (matches on ticket or match does not exist).
(8.1 x 104)
+
(2.5 x 104). Express your answer in scientific notation.
Answer:
=10.6x104
Step-by-step explanation:
=8.1x104+2.5x104
=(8.1x104+2.5x104)
=10.6x104
(8.1 x104)+(2.5 x 104)
Multiply the numbers
842.4 + (2.5 x 104)
Multiply the numbers
842.4 +260
Now we do the same thing only different way
2
2.5
x 104
________
100
000
2 50 0
______________
260
Multiply the digits
4 x 5 =20
Take the last digit and write it in the answer line
Carry the next digit and save it for the next calculation
Multiply the digits
4 x 2=8
Add the carried digit for the previous result
8+2 =10
Write the result in the answer line
Move the next digit and write it the next result below
Every digit multiplied by zero equals zero
Move to the next digit an write the next result below
Every digit multiplied by one stays the same
Add the numbers
Move the decimal sign as many times as there are decimal places in both factors combined.
Remove the unnecessary zeros
The result is 260
842.4+260
Add the numbers
1102.4
842.4
+ 260.0
_________
1102.4
Write zeros to get the same number of decimal places.
Add the digits in the column
4+0=4
Write the result under the column
Add the digits in the column
2+0=2
Solution: 1102 .4
Alternate form : 5512/5 , 1102 2/5
PLEASE MARK ME AS BRAINLIEST
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
1. x= 17
2. x= 31
3. x= 4
4. x= 40
Step-by-step explanation:
first one:
you pass the 10 dividing
x-7 = 100/10 ----> x-7 =10
Pass the 7 adding
x = 10+7 ---> x= 17
second one:
Pass the 7 multiplying
x+11= 6*7 ---> x+11= 42
Pass the 11 in substraction
x = 42-11 ----> x =31
third one:
Add the 3+8 = 11
Pass the 11 dividing
x*11 = 44 -----> x= 44/11 ---> x= 4
fourth one:
Rest the 8-4 = 4
Pass the 4 multiplying
x/ 4 = 10 -----> x = 4*10 ---> x= 40
Answer ASAP, Find the quadratic equations whose roots are ½ and -5/2
Answer:
4x^2+8x-5
Step-by-step explanation:
You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5
Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).
a line labeled g of x that passes through points 0, negative 2 and 1, 2
a line labeled g of x that passes through points 0, negative 3 and 1, 1
a line labeled g of x that passes through points negative 1, negative 2 and 0, 2
a line labeled g of x that passes through points 0, negative 1 and 1, 3
9514 1404 393
Answer:
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Step-by-step explanation:
We can find the function g(x) to be ...
g(x) = f(x+1) = 4(x+1) -2
g(x) = 4x +2
This tells us the y-intercept is (0, 2), so the only viable answer choice is ...
a line labeled g of x that passes through points (-1, -2) and (0, 2)
Answer:
Your answer would be C:]
Step-by-step explanation:
Anyone know got a chart by the way on the bottom
Answer:
41 and then 24 i belive
Step-by-step explanation:
-13 = r/9 + 8
r =
r equals what
-5=r/9
-45=r
Step-by-step explanation:
you're just trying to get the r alone. so you have to subtract the 8 and multiply the nine. you're just reversing the problem.
Tisha paid $10.50 for 6 liters of her favorite soda. To the nearest cent, how much did 3 liters of her
favorite soda cost?
Answer:
$5.25
Step-by-step explanation:
Step 1:
10.50 / 6 = x / 3 Equation
Step 2:
6x = 31.5 Multiply
Step 3:
x = 31.5 ÷ 6 Divide
Answer:
x = 5.25
Hope This Helps :)
Mercury is the closest planet to the Sun, with an average distance of 35,000,000 miles. It takes light about 3 minutes to travel from the Sun to Mercury. Neptune is the farthest, with an average distance of 2.8 x 109 miles from the Sun. How many times farther from the Sun is Neptune than Mercury? How long does it take light to reach Neptune? Follow the steps to find out. 1. Write the distance from the Sun to Mercury in scientific notation. Include units with your answer.
Answer:
1.
[tex]2765000000 \: or \: 2.765 \times {10}^{9} [/tex]
2.
[tex]273 \: seconds[/tex]
3.
[tex]3.5 \times {10}^{7} [/tex]
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10
Step-by-step explanation:
what is the product of (-0.5)(-1.2)(-5.22)?
0. -9.8
0. -3.132
0. 3.132
0. 9.8
Answer:
The answer is B or -3.132
Step-by-step explanation:
You are multiplying 2 negatives and a positive, so it guarantees it will be negative! Hope this helps!
Car a travels 15 miles while car b travels 26 miles what is the ratio of car a to car b
Answer: 15:26
Step-by-step explanation:
Given: Car a travels 15 miles while car b travels 26 miles.
Now, the ratio of the distance traveled by car a to car b is given by :-
[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.
So, the the ratio of the distance traveled by car a to car b = 15:26
Hence, the ratio of car a to car b = 15:26
Triangle ABC will be dilated according to the rule
[tex]D_{F, 0.25} (x,y)[/tex], where point F is the center of dilation.
What will be the coordinates of vertex A' of the image?
a. (-8,-4)
b. (-2,-1)
c. (0, 0)
d. (1, 0)
The answer is (1,0), but could someone explain how you get it, please?
Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.
In this case the center of dilation is located at F: (3,1)
The first step we must take is to find how many units point F is from vertex A.
In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)
Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)
4 * 0.25 = 1
8 * 0.25 = 2
This shows us how many dimensions away point [tex]A^{1}[/tex] is from point F:
1 unit vertically
2 units horizontally
Now how do we know if [tex]A^{1}[/tex] is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:
Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)
Reference the second image to see this
Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.
~Just a girl in love with Shawn Mendes
Answer:
D 1,0
Step-by-step explanation:
credit to the one up above
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!!! 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if:
a) there are no restrictions
b) no neighbouring tiles should be the same colour
c) at least one pair of neighboring tiles are the same color
Answer:Well the first one is 60
Step-by-step explanation:6!/3!2!=60 thats all i got
Answer:
60 for the first one
Step-by-step explanation: