24$ I believe is the answer You divide the total number of miles driven, to the number of miles per gallon . 180 divided by 30 = 6. Then multiply the answer 6 times dollars per gallon 4$ • 6 = 24 Your answer is 24 :)
Ethan's trip cost $24 in gasoline expenses, calculated by dividing the distance by the fuel economy to find the gallons used and then multiplying that by the cost per gallon.
Explanation:To calculate the total cost of gasoline for Ethan's trip, we need to know two things: the fuel economy of the car and the distance traveled. The fuel economy is given as 30 miles per gallon, and the distance traveled is 180 miles.
First, we calculate how many gallons of gas were used during the trip:
Divide the total miles driven by the car's miles per gallon to get the number of gallons needed: 180 miles ÷ 30 miles/gallon = 6 gallons. Multiply the number of gallons by the cost per gallon to find the total cost: 6 gallons × $4/gallon = $24.
Therefore, the total cost of gasoline for the trip was $24.
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What is the closed linear form of the sequence 3, 4, 5, 6, 7, ...?
A) an = 2 + n
B) an = 2 - n
C) an = 3 + n
D) an = 3 - n
Answer:
Step-by-step explanation:
This is an arith. sequence.
The first term is 3 and the common difference is 1
Thus, the general formula for the nth term of this sequence is:
a(n) = 3 + 1(n - 1) This matches Answer A
ANSWER
[tex]a_n=2+ n[/tex]
EXPLANATION
The given sequence has terms:
3, 4, 5, 6, 7, ...
The first term is
[tex]a_1=3[/tex]
The constant difference is
d=4-3=1
The general term is given by:
[tex]a_n=a_1 + d(n - 1)[/tex]
Substitute the first term and the common difference to get,
[tex]a_n=3+ 1(n - 1)[/tex]
Expand:
[tex]a_n=3+ n - 1[/tex]
[tex]a_n=2+ n[/tex]
The first choice is correct.
solve......... 6y + x = 8
Step-by-step explanation:
[tex]6y+x=8\\\\for\ x:\\\\6y+x=8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\6y-6y+x=8-6y\\\\\boxed{x=8-6y}\\\\for\ y:\\\\6y+x=8\qquad\text{subtract}\ x\ \text{from both sides}\\\\6y=8-x\qquad\text{divide both sides by 6}\\\\\boxed{y=\dfrac{8-x}{6}}[/tex]
4. Describe the proportion method for solving a percentage problem:
There are different ways percent problems can be solved. One of the ways to solve a percent problem is by using proportion method.
By using proportion method, the set-up is the same, I.e.
Further Explanation[tex]\frac{Part}{whole}[/tex] = [tex]\frac{percentage}{100}[/tex]
In any given expression:
The number that has the % sign is the percentThe number with the word “is” is the partThe number with the word “of” is the wholeExample 1:What number is 80% of 10?
It can be expressed as:
[tex]\frac{part}{10}[/tex] = [tex]\frac{80}{100}[/tex]
If we cross multiply, then we have:
10 x 80 = 100 x part
800 = 100 x part
[tex]\frac{800}{100}[/tex] = [tex]\frac{100}{100}[/tex] x part (800 cross out 100 to give 8 and 100 cross out 100)
8 = part
Example 2:3 is what percentage of 6?
It can be expressed as:
[tex]\frac{3}{6}[/tex] = [tex]\frac{percentage}{100}[/tex]
If we cross multiply, then we have:
3 x 100 = 6 x the percent
300 = 6 x the percent
[tex]\frac{300}{6}[/tex] = [tex]\frac{6}{6}[/tex] x the percent (300 cross out 6 to give 50 and 6 cross out 6)
50 = the percent
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1/6 the sum of 16 and 20 https://brainly.com/question/30031931/8 the sum of 23 and 17 https://brainly.com/question/957390KEYWORDS:
proportion methodpercentage problemcross multiplicationpercentmultiplyingThe proportion method is a way to solve percentage problems by setting up a proportion between the part and the whole.
Explanation:The proportion method is a way to solve percentage problems. To use this method, you need to set up a proportion between the part and the whole.
For example, if you have a class with 35 students and 13 of them are wearing sandals, you can find the percentage of students wearing sandals by setting up the proportion: 13/35 = x/100. Then, you cross multiply and divide: 13 * 100 = 35 * x. Solve for x to find the percentage: x = 37%.
Who can help me out with this
Answer:
x=y+5
Step-by-step explanation:
Step-by-step explanation:
To solve for x in this case, we must first add 5 to both sides, resulting in:
x - 5 + 5 = y + 5
then simplify,
x = y + 5
And boom, you're done!
carol and chick are counting calories ehile eating lunch at the school cafeteria in one week carol had 8 slices of pizza,5containers of skim milk and five cups of fruit salad. chick had 5 slices pf pizza,7 containers of fruit salad, and 7 containers of skim milk. chicks calorie count was 2500 and carols was 3070. if each container of skim milk is 40 calories how many calories did carol get from pizza
Answer:
2320 calories
Step-by-step explanation:
We are given the following information;
Carol;
8 slices of pizza
5 containers of skim milk
5 cups of fruit salad
Chick;
5 slices pf pizza
7 containers of skim milk
7 containers of fruit salad
We let x denote the calories in each slice of pizza and y the calories in each cup or container of fruit salad. Chicks calorie count can thus be represented by the following expression;
5x + 7(40) + 7y
5x + 7y + 280
We are also informed that chicks calorie count was 2500 and thus the following equation is formed;
5x + 7y + 280 = 2500
5x + 7y =2220. This will be our first equation
On the other hand, Carols calorie count can be represented by the following expression;
8x + 5(40) + 5y
8x + 5y + 200
We are also informed that Carols calorie count was 3070 and thus the following equation is formed;
8x + 5y + 200 = 3070
8x + 5y = 2870. This will be our second equation
Now, we have two sets of equation;
5x + 7y =2220
8x + 5y = 2870
We solve these simultaneously to determine the values of x and y;
We multiply the first equation by 8 and the second by 5 in order to eliminate x and solve for y;
40x + 56y = 17760
40x + 25y = 14350
Subtracting the second equation from the first yields;
31y = 3410
y = 110
We substitute this value in the first equation and solve for x;
5x + 7(110) = 2220
5x = 2220 - 770
5x = 1450
x = 290
Therefore, each slice of pizza contains 290 calories. Carol had 8 slices of pizza implying that her total calories count from pizza was;
8 * 290 = 2320 calories
find the midpoint of the segment with the following endpoints (2,4) and(8,8)
Answer:
(5,6)
Step-by-step explanation:
just answered a similar question for you a while ago so I have updated by response to match the different values:
the midpoint formula is
(x1 + x2/2) , (y1 + y2/2) <-- both the x1 and y1 coordinates also are divided by 2
so to solve for the midpoint, we take our endpoints and plug it into the formula
we will list the coordinates as the following to plug it into the formula:
x coordinate 1 = 2
x coordinate 2 = 8
y coordinate 1 = 4
y coordinate 2 = 8
substituting these values into the formula we get this:
x =(2 + 8/2) , y = (4 + 8/2)
x = 2 + 8 = 10/2 = 5 which is our x coordinate for the midpoint
y = 4 + 8 = 12/2 = 6 which is our y coordinate for the midpoint
in an ordered pair it would be (5, 6)
Final answer:
The midpoint of the segment with the endpoints (2,4) and (8,8) is (5, 6).
Explanation:
The midpoint of a line segment is the point that is equidistant from both endpoints. To find the midpoint of a segment with endpoints (2,4) and (8,8), we can use the midpoint formula.
The midpoint formula is given by:
M = (x1 + x2)/2, (y1 + y2)/2
Using the given endpoints, we substitute the values into the formula:
M = (2 + 8)/2, (4 + 8)/2 = (10/2, 12/2) = (5, 6)
Therefore, the midpoint of the segment with the given endpoints is (5, 6).
I Need Help With This Problem Please :)
Answer:
Output = input + 2
Step-by-step explanation:
Simple, take some values to figure it out.
When input is 0, output is 2
When input is 1, output is 3
When input is 2, output is 4
When input is 3, output is 5
There is one commonality between them:
The output is simply input + 2
Justine is a wedding coordinator. She is selecting the menu options for the reception
square root of 5625
Answer:
75
Step-by-step explanation:
75 × 75 = 5625
75² = 5625
Answer:
75
Step-by-step explanation:
5625 is a mult. of 5 so check 5s also mult. of 3 too.
45?no
75? yes
guess and check possible answers- it had to end in 5, multiple of 3.
The graph of the function is shown. Which inequality represents the domain of the function?
Answer:
x≥-6
Step-by-step explanation:
The domain is every value of x. Since the function does not include any values of x less than -6, x≥-6 is the domain.
The inequality which represents the domain of the function is y>=6 . Hence, option A is correct.
What is the domain of a function?The domain of a function is the set of all possible input values. In other words , we could say the x - values for which valid y-values are obtained.
From the graph, the line depicts , valid y- values starting from -6 and higher.
Hence, the values include ;
-6, -5, -4, .....Therefore, the correct option is A.
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Find the volume of the cone of with a height of 6cm and a diameter of the base or 6cm
Answer:
The volume of cone v= 113.04 cm³.
Step-by-step explanation:
Formula used to find volume of cone is:
[tex]v= \pi * r^2 * \frac{h}{3}[/tex]
where r is the radius and h is the height of cone.
In the given question we are given:
height h= 6 cm
diameter d= 6 cm
We know radius r = d/2 = 6/2 = 3 cm
so, volume will be:
[tex]v= \pi * 6^2 * \frac{3}{3}[/tex]
[tex]v= \pi * 36 [/tex]
[tex]v=113.04[/tex]
So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm
Write the standard equation for the circle center (-6,8) that passes through (0,0)
Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = [tex]\sqrt{(0+6)^2+(0+8)^2}[/tex] = [tex]\sqrt{36+64}[/tex] = [tex]\sqrt{100}[/tex] = 10
Hence
(x + 6)² + (y + 8)² = 100 → D
How to find the surface area of a box and the volume?
for surface area you find the area of a square face (11*9=99) but there are 2 square faces so it would be 2 lots of 99 (99*2=198)
then you find the area of the rectangle faces (12*9=108)
there are 4 rectangle faces so you would do 108*4=432
then just do 432 + 198 =630
so surface area is 630
for volume you do b*l*h
so just do 11*9*12
= 1188
so volume is 1188cm^3
What is 5.193 rounded to the nearest hundredth?
Is it
5.19 is the answer x hope it helped
5.193 rounded to the nearest hundredth is 5.19.
Given is a decimal number 5.193 we need to round to the nearest hundredth,
To round a number to the nearest hundredth, you need to look at the digit in the thousandth place (two decimal places to the right of the decimal point).
In the case of 5.193, the digit in the thousandth place is 3. To round to the nearest hundredth, we follow the following rule:
If the digit in the thousandth place is less than 5, we round down (keep the same value).
If the digit in the thousandth place is 5 or greater, we round up (increase the value by 1).
Since 3 is less than 5, we round down.
Therefore, 5.193 rounded to the nearest hundredth is 5.19.
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Which type of data is best represented by a line graph?
A.each response shown by an X or dot
B.data that are compared using bars
C.change in data over time
D.parts of a total amount
C. change in data over time
Answer:
c. change in data over time
Step-by-step explanation:
if a figure has four sides then it cannot be a triangle
This is true. A triangle can only have 3 sides.
true if it has for sides it can not be a triangle bc triangles have only 3 sides
What is the probability of rolling a number cube and its landing on an even number?
Answer:
1/2
Step-by-step explanation:
When we roll a die, we can get 1,2,3,4,5,6
There are 6 possible outcomes
The even numbers are 2,4,6
There are 3 ways to get an even number
P(even number) = number of evens/ total outcomes
= 3/6
=1/2
Unit 17- calculations
What exactly is your question?
Answer:
i dont understand
Step-by-step explanation:
plz explain
If m DFC = 40° and m
d = 55°, then mBG=
Answer:
The measure of arc BG is 25°
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠DFC=(1/2)[arc CD+arc BG]
we have
m∠DFC=40°
arc CD=55°
substitute and solve for arc BG
40°=(1/2)[55°+arc BG]
80°=[55°+arc BG]
arc BG=80°-55°=25°
Answer:
The measure of arc BG is 25°
Attachment Below Thanks Lots Of Points
Answer:
1A: The area of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square meter, a square foot, or a square inch.
1B: A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length
1C: A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
2A: A=wl
2B: A=πr to the power of 2
Step-by-step explanation:
1. Area = the measurement of the surface of a 2D shape.
Radius = a straight line from the center of a circle to its circumference.
Diameter = a straight line from one side of a circle to the other side, passing through the center point.
2. The area of a rectangle is found by multiplying the length by the width.
The area of a circle is found by multiplying the radius squared by PI.
3. Find the area of the paper and the area of the game pieces, then divide the area of the paper by the area of the game piece.
Write an equation for the graphed function
Answer: g(x) = 1/(x-1) - 3
Step-by-step explanation:
Where would y = 1/x be located?
It would have an asymptote at each of the y and x axes.
This is shifted one to the right, and three down.
To shift one to the right:
y = 1/(x-1)
To shift three down:
y = 1/(x-1) - 3
And we're done!
Plz help ASAP!!!!!! I will give brainliest to the right answer.
How many outcomes do NOT show an even number on the first and show 6 on the second?
Answer:
I believe the answer is 3
Pretty sure it's C.) 5
Hope I helped ¯\_(ツ)_/¯
The ages, in years, of children on the swim team are 10, 11, 12, 12, 11, and 13.
What is the mean age of a child on the swim team?
Answer: 11.5
Step-by-step explanation:
To find the mean first add all the numbers then divide by the amount of numbers you added.
10 + 11 + 12 + 12 + 11 + 13 = 69
69/6 = 11.5
Answer:
[tex]mean=11.5[/tex]
Step-by-step explanation:
By definition the Mean is the average of a set of numbers.
In this case, we know that the ages in years of children on the swim team are the following:
10, 11, 12, 12, 11, and 13
Then, to calculate themean age of a child on the swim team, we need to add up all the numbers and divide this by the total number of values in the set.
You can observe that there are six values. Then, the mean age of a child on the swim team is:
[tex]mean=11.5[/tex]
Lance loaded 89 boxes into his delivery truck in the morning . At 2 o clock that afternoon he had 36 boxes left on the truck . How many boxes had he delivered ?
Answer:
53 boxes
Step-by-step explanation:
Subtract the end amount from the beginning amount to find the number of boxes already delivered.
89-36=53
Suppose you can chose from 3 different shirts, 2 pairs of pants, and 5 pairs of shoes. Use the fundamental counting principle to find out how many different outfit combinations you can make.
Answer:
You can make 10 combinations.
Step-by-step explanation:
you can make 10 combinations because all you have to do is just add all the numbers then you get 10
We want to find the total number of combinations of outfits, given that we know the number of each type of clothes that you have.
Using basic counting, we will get that there are 30 different outfit combinations.
Let's see how to get that:
To count the total number of combinations, the first thing we need to find is the selections.
Here we have 3 selections:
Selection of shirtSelection of pantsSelection of shoes.Now we need to find the number of options for each one of these selections:
Selection of shirt (3 options)Selection of pants (2 options)Selection of shoes. (5 options)To get the total number of combinations, we just need to multiply all of these numbers of options, we will get:
3*2*5 = 30
This means that there are 30 different outfit combinations.
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sally and timothy have two different answers for 1,785 ÷ 35. without dividing, how can you tell whose answer is wrong sally: 1,785 ÷ 35 = 51 timothy: 1,785 ÷ 35= 501
Answer: Timothy's answer is wrong
When you multiply factors, the product with a certain number of place values, the product should have the the sum of the number of place values.
35 has 2 digits.
51 has two digits.
2 + 2 = 4
1785 has 4 digits.
The receipt shows the quantity and price of some clothing. Which equation can be used to find the price of each pair of jeans?
The answer is A because “x” is the number of jeans purchased so it would be the price per jean times number of jeans being purchased
Answer: Answer is A
Step-by-step explanation:
Lucy spends $140 at the grocery store. Dairy items made up 1/7 of her purchase and vegetables accounted for 3/20 of her total. How much money did Lucy spend on items that were not dairy or vegetable items?
For this case we make a rule of three to find the cost of dairy products and vegetables.
$ 140 --------------> 1
x ------------------>[tex]\frac {1} {7}[/tex]
Where "x" represents the amount of money spent on dairy products.
[tex]x = \frac {\frac {1} {7} * 140} {1}\\x = 20[/tex]
So, I spend $ 20 on dairy products.
Now we have:
$ 140 --------------> 1
y ------------------> [tex]\frac {3} {20}[/tex]
Where "y" represents the amount of money spent on vegetables.
[tex]x = \frac {\frac {3} {20} * 140} {1}\\x = 21[/tex]
So, I spend $ 21 on vegetables.
Therefore, I spend $ 41 on vegetables and dairy products.
$ 140- $ 41 = $ 99
Spending $ 99 dollars on products other than vegetables and dairy products
Answer
$ 99
Find three solutions of the equation. y=2x-6
A) (-2,-10), (1,-4), (2,-1)
B) (-2,-10),(1,-4), (0,-6)
C) (0,-6), (3,-2), (-2,-10)
D) (1,-4),), (0,-6), (-1,-9)
Answer:
B
Step-by-step explanation:
put the values of x and y into the equation respectively.
if LHS =RHS then it is a solution
e.g put (-2,-10) into the equation
-10=2(-2)-6
-10=-10
hence is a solution .
or put x value into the equation such as
(-2,-10)
y=2(-2)-6
the ans should be y=-10.As u can see is equal to the solution given.Hence is a solution.
pxqxqxqxqxqxqxqxqxq expression equivalent
Answer:
pxq^9
Step-by-step explanation:
-hope this is what you're looking for?