Answer:
140 miles.
Step-by-step explanation:
The distance the car travels on 1 litre= 120/30 = 4 miles.
So the distance for 35 litres = 4 * 35 = 140 miles.
The car's fuel efficiency is calculated as 4 miles per liter based on the given data. Using this, it is determined that the car can travel 140 miles on 35 liters of petrol.
Explanation:To calculate how far a car can travel on 35 liters of petrol, we need to determine its fuel efficiency, which is the distance it can cover per unit volume of fuel. Based on the given that the car can travel 120 miles on 30 liters of petrol, we can write an equation to represent the car's fuel efficiency:
Fuel efficiency = Distance/Volume of fuel = 120 miles / 30 liters = 4 miles per liter
Now that we have the car's fuel efficiency, we can find out how far it can travel on 35 liters of petrol:
Distance on 35 liters = Fuel efficiency × Volume of fuel = 4 miles/liter × 35 liters
Distance on 35 liters = 140 miles
Therefore, the car can travel 140 miles on 35 liters of petrol.
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help answer a and part b
Answer:
The proportional relationships are used by showing ratios that can be simplified into 2:3.
Answer:
hbd
Step-by-step explanation:
fcvhk;mlsdhijksnmc3w
B=kpx when solved for K is?
Answer:
k = B
px
Step-by-step explanation:
Divide both sides by px
Answer:
A
Step-by-step explanation:
Students at a bake sale sell bags of cookies for $2.35 each and bags of miniature muffins for $1.75 each. While selling their baked goods, the students also received a $20 donation. The amount of money the students make from selling c bags of cookies and m bags of muffins can be modeled by the expression 2.35c + 1.75m + 20. Interpret the expression 2.35c + 1.75m in this context.
A
The expression 2.35c + 1.75m represents the money earned from selling c bags of cookies.
B
The expression 2.35c + 1.75m represents the money earned from selling m bags of muffins.
C
The expression 2.35c + 1.75m represents the money earned from selling c bags of cookies and m bags of muffins.
D
The expression 2.35c + 1.75m represents the money earned from selling one bag of cookies and one bag of muffins.
Answer:
Option C (The expression 2.35c + 1.75m represents the money earned from selling c bags of cookies and m bags of muffins).
Step-by-step explanation:
It is given that a bag of cookies is priced at $2.35 and a bag of muffin is priced at $1.75. It is also given that the student sells c bags of cookies and m bags of muffins. The total revenue earned by the student by selling c bag of cookies = $2.35 * c bags = $2.35c and the total revenue earned by the student by selling m bag of muffins = $1.75 * m bags = $1.75m. Therefore, the total revenue earned by the student by selling both cookies and muffins = 2.35c + 1.75m. This expression (2.35c + 1.75m) represents the money earned from selling c bags of cookies and m bags of muffins. Therefore, C is the correct choice!!!
For a tax rate of 8.25%, find the amount of tax that will be paid on an automobile tube-up costing $76. Find the total price of the tune-up with tax.
Final answer:
To find the tax on a $76 automobile tune-up at 8.25%, convert the tax rate to a decimal (0.0825), multiply it by the tune-up cost ($76), resulting in a tax of $6.27. Adding the tax to the original cost gives a total price of $82.27.
Explanation:
To calculate the amount of tax on an automobile tune-up costing $76 with a tax rate of 8.25%, first, you need to convert the percentage to a decimal. The decimal form of 8.25% is 0.0825. Then multiply the cost of the tune-up by this decimal:
$76 x 0.0825 = $6.27The amount of tax to be paid is $6.27. To find the total price of the tune-up with tax, you simply add the tax amount to the original tune-up cost:
$76 + $6.27 = $82.27Therefore, the total price of the automobile tune-up including tax is $82.27.
Amy usually swim 20 laps in 30 minutes what is her rate in laps per minute
Hey!
---------------------------------------
Solution and Answer:
Amy swam 30 laps in 20 minutes.
Rate = [tex]\frac{20 minutes}{30 laps} = \frac{2 minutes}{3 laps}[/tex]
---------------------------------------
Hope This Helped!
Easy middle school number line plotting!! Please help!! Can you tell me if I plotted the ones right? And plot the 3.11
Answer:
3.11 is infinite so we would plot that 1 tick past 3 as the graph is going in increments of .50 and the square root of 7 is 2.64 which we would round to 2.7 (i could be wrong about rounding) soo in your case i would go with 2.6 which is 1 tick past 2.5
Step-by-step explanation:
its been a long time since ive done this and im currently in pre calc 11th grade math so if i got some of the wrong im very sorry :-(
Plz help which one is larger
3/4 is greater than 7/10.
Find the least common denominator or LCM of the two denominators:
LCM of 4 and 10 is 20
For the 1st fraction, since 4 × 5 = 20,
3 /4=
3 × 5
4 × 5 =
15 /20
Likewise, for the 2nd fraction, since 10 × 2 = 20,
7 /10 =
7 × 2
10 × 2 =
14 /20
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
15 /20 > 14 /20 or 3 /4 > 7 /10
Answer:
3/4 is larger
Step-by-step explanation:
The common denominator is 40
multiply
30/40 and 28/40
30/40 is larger, simplify 3/4 is bigger than 7/10
On Monday, 449 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. How many students were on each bus?
Answer:
Each bus could pick up 49 students
Step-by-step explanation:
(449-8):9=49
Answer:
Number of students on each bus = 49
Step-by-step explanation:
On Monday, 449 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars.
Total number of students = 449.
Number of students traveled in car = 8
Number of students traveled in bus = 449 - Number of students traveled in car = 8
Number of students traveled in bus = 449 - 8 = 441
Number of buses = 9
Number of students traveled in bus = Number of buses x number of students on each bus
441 = 9 x number of students on each bus
Number of students on each bus = 49
Which figure is a translation 1?
Figure
Answer:
Figure 4
because they both have same sizes
The figure 4 is translation of figure 1.
What is Transformation?Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.
The translation is a transformation in which the x and y coordinates are shifted of the object.
The only figure in which the transformation is translation of figure 1 is Figure 4.
To know more about Transformation
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18.
7. A baker's dozen (13) of cookies is on sale
for $4.94. What is the cost of an individual
cookie?
ya
Find the value of h(-7) for the function below.
h(x) = 5.7 −19x
A.
-127.3
B.
138.7
C.
0.67
D.
-138.7
Answer:
B. 138.7
Step-by-step explanation:
Put the given number where the variable is and do the arithmetic.
h(x) = 5.7 -19x
h(-7) = 5.7 -19(-7) = 5.7 +133 = 138.7
The answer is down below hopes this helps have a great day!!!
A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses.
5, 5, 5, 4, 17
Find the mean number of hours for these students.
If necessary, round your answer to the nearest tenth.
Answer:
7.2 Hours
Step-by-step explanation:
To find the mean which is also known as the average of a set of data, you first have to add all the numbers then divide the sum by the amount of data values. (I remember this by saying the mean teacher averages your grade.)
First, you need to add the numbers. 5+5+5+4+17= 36
Secondly, you need to divide the sum of all the data by the amount of data there is. In this case, there are 5 pieces of data.
Lastly, you divide 36/5
Your final answer should be 7.2
You can check your work by doing 7.2 times 5 which equals 36.
Sorry I couldn't reply sooner, hope this helped!
Gail runs a taxi.
Her running costs are £75 per day.
She charges £1.90 per mile travelled.
On Tuesday she carried passengers for a total of 35 miles.
What was her total loss?
Answer:
8.5 £
Step-by-step explanation:
1.90 * 35
= 66.5 £
so,
75 - 66.5
= 8.5 £
Answer:
She lost £8.50
Step-by-step explanation:
£1.90 x 35 = £66.50 (how much she earned on Tuesday)
£75.00 - £66.50 = £8.50
Write x = 1/4 y + 2 in slope intercept form.
Imma give extra points!! Bc im nice c:
98 points
Answer:
y = 4x - 8
Step-by-step explanation:
x = 1/4y + 2
-1/4y -1/4y
-1/4y + x = 2
-x -x
-1/4y= -x + 2
*-4 *-4
y = 4x - 8
Hey!
------------------------------------------------
Solution:
~Subtract x to both sides
x - x = 1/4y + 2 + (-x)
~Simplify
1/4y = 2 + (-x)
~Multiply 4 to both sides
1/4y * 4 = 2 + (-x) * 4
~Simplify
y = 8 - 4x
~Switch
y = 4x - 8
------------------------------------------------
Answer:
[tex]\large\boxed{y~=~4x~-~8}[/tex]
------------------------------------------------
Hope This Helped! Good Luck!
what is the number whose 4/5 is 144?
Answer:
180
Step-by-step explanation:
Multiply 144 by the reciprocal of [tex]\frac{4}{5}[/tex], that is
The reciprocal of [tex]\frac{4}{5}[/tex] is [tex]\frac{1}{\frac{4}{5} }[/tex] = [tex]\frac{5}{4}[/tex], then
[tex]\frac{5}{4}[/tex] × 144 = [tex]\frac{5(144)}{4}[/tex] = 180
The explicit rule for an arithmetic sequence is an=20/3+1/3(n-1). What is the value of the 89th term?
[tex]\bf a_n=\cfrac{20}{3}+\cfrac{1}{3}(n-1) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{89^{th}~term~\hfill }{a_{89}=\cfrac{20}{3}+\cfrac{1}{3}(89-1)}\implies a_{89}=\cfrac{20}{3}+\cfrac{1}{3}(88)\implies a_{89}=\cfrac{20}{3}+\cfrac{88}{3} \\\\\\ a_{89}=\cfrac{20+88}{3}\implies a_{89}=\cfrac{108}{3}\implies a_{89}=36[/tex]
Answer:
B
Step-by-step explanation:
Just did it
What is 8363 x 9374)?
Answer:7,836,664
Step-by-step explanation:I used a calculator
Answer:
Step-by-step explanation: 36,211,762
Find the area.
8 yd
12 yd
Help last question!!!
Answer:
yes the ratio of the area of a new rectangle is equivalent to the ratio of side lengths of a new ratio
Step-by-step explanation:
what is the exact value that is 59% of 1018
Answer: 600.62
Step-by-step explanation:
1018 x 0.59 = 600.62
Answer:
600.6. to the nearest tenth.
Step-by-step explanation:
59 % = 59/100 = 0.59.
0.59 * 1018
= 600.6.
How do you solve this
Answer:
x=75 degrees because it is an isosceles triangle, and both 75 and x are equiangular.
Step-by-step explanation:
Check the picture below.
so we have two twin sides stemming from a common vertex, once they reach the base, they'd make up an angle, however, in an isosceles triangle, the twin sides always make twin angles at the base.
Find the domain for f of x equals the quantity x plus 3 divided by quantity x minus 2. (2 points) x ≠ 2 x ≠ -3 x ≠ -3, 2 All real numbers
Answer:
x different from 2
Step-by-step explanation:
The function is written as the quotient: [tex]\frac{x+3}{x-2}[/tex]
that can give us a real value for any value of x except for x=2 that creates a ZERO in the denominator, making the division undefined.
So the only value for which the function cannot be evaluated is x=2, therefore the function's domain is all the real numbers except for x=2.
27 thousands 3 hundreds 5 ones times 10
Answer:
27,050
Step-by-step explanation:
Thousand is three zeroes, so we start with 27,000
Hundred is two zeroes, so we add 300
Ones have no zeroes, so we add 5
27,305
but then this is times 10 which adds another zero, so our final result is
27,050
Please answer this correctly
Answer:
52:72
Explanation:
Because it's comparing the men to the TOTAL passengers. Not the women, that's trying to trick you.
Answer:
52:72
Step-by-step explanation:
because it said the male to total passengers
Given the function f(x) = 3x + 1 and the linear function g(x), which function has a greater value when x = 3?
graph of line g of x equals 4 times x minus 5
f(x) is greater.
g(x) is greater.
f(x) and g(x) are the same when x = 3.
g(x) is undefined when x = 3.
Answer:
f(x) is greater
Step-by-step explanation:
The function that has a greater value when x = 3 is: A. f(x) is greater.
What is a linear function?In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the xy-plane or cartesian coordinate.
Based on the information provided, we can logically deduce the following linear functions;
f(x) = 3x + 1
g(x) = 4x - 5
When x is equal to 3, we have:
f(x) = 3x + 1
f(3) = 3(3) + 1
f(3) = 10
g(x) = 4x - 5
g(3) = 4(3) - 5
g(3) = 7.
Therefore, f(x) is greater.
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Each floor in the old headquarters of Oldham Bank and Trust is 14 feet in
height except the ground floor, which is 24 feet high. There are 5 floors. How
tall is the building?
To find the total height of the building, we need to calculate the sum of the heights of all the floors.
Height of the ground floor = 24 feet
Height of each floor (except ground floor) = 17 feet
Number of floors (excluding ground floor) = 7 - 1 = 6
Total height of the building = Height of the ground floor + (Height of each floor * Number of floors)
Total height of the building = 24 + (17 * 6)
Total height of the building = 24 + 102
Total height of the building = 126 feet
Therefore, the building is 126 feet tall.
What is the next term of the geometric sequence. 135,45,15
Answer:
5
Step-by-step explanation:
Each term is 1/3 of the preceding term
135 / 3 = 45
45 / 3 = 15
15 / 3 = 5
Answer:
Keep dividing the number by 3.
The next number is 5.
Step-by-step explanation:
Select all the points that are on the graph of the equation 4y - 6x = 12
a. (-4,-3)
b. (-1, 1.5)
c. (0, -2)
d. (0,3)
e. (3, 4)
f. (6,4)
Answer:
b. (-1, 1.5)
d. (0,3)
Step-by-step explanation:
we have
[tex]4y-6x=12[/tex]
we know that
If a ordered pair is on the graph of the linear equation, the the ordered pair must satisfy the linear equation
Verify each case
case a) we have
(-4,3)
substitute the value of x and the value of y in the equation
[tex]4(3)-6(-4)=12[/tex]
[tex]36=12[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not on the graph of the linear equation
case b) we have
(-1,1.5)
substitute the value of x and the value of y in the equation
[tex]4(1.5)-6(-1)=12[/tex]
[tex]12=12[/tex] ----> is true
The ordered pair satisfy the equation
therefore
The ordered pair is on the graph of the linear equation
case c) we have
(0,-2)
substitute the value of x and the value of y in the equation
[tex]4(-2)-6(0)=12[/tex]
[tex]-8=12[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not on the graph of the linear equation
case d) we have
(0,3)
substitute the value of x and the value of y in the equation
[tex]4(3)-6(0)=12[/tex]
[tex]12=12[/tex] ----> is true
The ordered pair satisfy the equation
therefore
The ordered pair is on the graph of the linear equation
case e) we have
(3,4)
substitute the value of x and the value of y in the equation
[tex]4(4)-6(3)=12[/tex]
[tex]-6=12[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not on the graph of the linear equation
case f) we have
(6,4)
substitute the value of x and the value of y in the equation
[tex]4(4)-6(6)=12[/tex]
[tex]-12=12[/tex] ----> is not true
The ordered pair not satisfy the equation
therefore
The ordered pair is not on the graph of the linear equation
The only points that a valid points on the graph of 4y - 6x = 12 are;
Option A; (-4,-3)
Option B; (-1, 1.5)
Option D; (0,3)
We are given the equation;
4y - 6x = 12
Let us make y the subject to get;
4y = 12 + 6x
y = (12 + 6x)/4
y = 3 + ³/₂x
Option A; at (-4, -3), let us put -4 for x to see if we will get y as -3;
y = 3 + ³/₂(-4)
y = 3 - 6
y = -3
Thus, (-4, -3) is a valid point
Option B; at (-1, 1.5)
y = 3 + ³/₂(-1)
y = 3 - 1.5
y = 1.5
Thus, (-1, 1.5) is a valid point
Option C; at (0, -2)
y = 3 + ³/₂(0)
y = 3
Thus, (0, -2) is not a valid point
Option D; at (0, 3)
y = 3 + ³/₂(0)
y = 3
Thus, (0, 3) is a valid point
Option E; At (3, 4)
y = 3 + ³/₂(3)
y = 3 + 4.5
y = 7.5
Thus; (3, 4) is not a valid point
Option F; At (6, 4)
y = 3 + ³/₂(6)
y = 3 + 9
y = 12
Thus, (6, 4) is not a valid point
In conclusion the only valid points are; (-4, -3), (-1, 1.5), (0, 3)
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Manuel spent a total of $40 at the grocery store. Of this amount, he spent $36 on fruit. What percentage of the total did he spend on fruit?
Final answer:
Manuel spent 90% of his total grocery expenses on fruit. To calculate this, the amount spent on fruit ($36) is divided by the total spent ($40), and then multiplied by 100%.
Explanation:
Manuel spent a total of $40 at the grocery store and out of that, $36 was spent on fruit. To find out the percentage that he spent on fruit, you can use the formula:
Percentage = (Amount spent on fruit / Total amount spent) x 100%
Plugging in the values gives us:
Percentage = ($36 / $40) x 100% = 0.9 x 100% = 90%.
Thus, Manuel spent 90% of his total grocery expenses on fruit.
if fx=3x-x/2 find the range if the domain is {-3,-2,4,6}
Answer: Range: y = {-7.5, -5, 10, 15}
Step-by-step explanation:
Domain is "x" and range is "y" f(x)
Replace the x's in the equation with each given value:
[tex]f(x)=3x-\dfrac{x}{2}\qquad \qquad \text{when}\ x={-3, -2, 4, 6}\\\\\\\\f(-3)=3(-3)-\bigg(\dfrac{-3}{2}\bigg)\\\\\\.\qquad =-9+\dfrac{3}{2}\\\\\\.\quad =\dfrac{-18}{2}+\dfrac{3}{2}\\\\\\.\quad =\large\boxed{-\dfrac{15}{2}}[/tex]
[tex]f(-2)=3(-2)-\bigg(\dfrac{-2}{2}\bigg)\\\\\\.\qquad =-6+1\\\\\\.\qquad =\large\boxed{-5}[/tex]
[tex]f(4)=3(4)-\bigg(\dfrac{4}{2}\bigg)\\\\\\.\qquad =12-2\\\\\\.\qquad =\large\boxed{10}[/tex]
[tex]f(6)=3(6)-\bigg(\dfrac{6}{2}\bigg)\\\\\\.\qquad =18-3\\\\\\.\qquad =\large\boxed{15}[/tex]
The range of the function with the specified domain of {-3, -2, 4, 6} is {-15/2, -5, 10, 15}.
The student asks: if fx=3x-x/2 find the range if the domain is {-3,-2,4,6}. To find the range of the function f(x) = 3x - x/2, we will evaluate the function for each value in the given domain and record the corresponding outputs. This function simplifies to f(x) = (5/2)x when you combine like terms.
For x = -3, f(-3) = (5/2)(-3) = -15/2.
For x = -2, f(-2) = (5/2)(-2) = -10/2 = -5.
For x = 4, f(4) = (5/2)(4) = 20/2 = 10.
For x = 6, f(6) = (5/2)(6) = 30/2 = 15.