Using proportions, it is found that Harri spent £76.91 on fuel last month.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations, especially multiplication and division with the rates.
For this problem, we have that Harri drove 850 miles with a rate of 45.6 miles per gallon hence the number of gallons that Harri used is given as follows:
850/45.6 = 18.64 gallons.
Each gallon is equivalent to 3.78541 liters, hence the number of liters that Harri used is given as follows:
18.64 x 3.78541 = 70.56 liters.
The cost per liter was of £1.09, hence the amount that Harri spent during the last month is given as follows:
70.56 x 1.09 = £76.91.
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The shoreline of Great Bear Lake is approximately 2719 km (not counting islands). If a map is drawn with a scale of 3 cm:100 km, how long would the shoreline be on the map?
Answer:
81.57 cm
Step-by-step explanation:
Given that :
Scale :
3cm : 100km
This means ; 3cm on the map represents an actual length of 100km
Actual length of shoreline = 2719 km
The length of the shoreline on the map will be :
(2719 km / 100 km) * 3cm
27.19 * 3cm
= 81.57 cm
Answer:
81.57 cm
Step-by-step explanation:
Simplify expression below (7 + i)-(6-4)
Answer:
5 + i
Step-by-step explanation:
Answer:
5+i is the answer
Step-by-step explanation:
cause 6-4=2-7=5+i
The length of a rectangle is 16 units more than its width. The area of the rectangle can be expressed as
x^4 – 64.
Which expression represents the width of the rectangle?
The width of the rectangle represented by the expression (x⁴ – 64)/x.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
The length of a rectangle is 16 units more than its width.
Let the length is x units.
Then width = (x + 16) units.
The area of the rectangle can be expressed as
x⁴ – 64 = length x width
x⁴ – 64 = x (x + 16)
x + 16 =(x⁴ – 64)/x
Therefore, the width expression is (x⁴ – 64)/x.
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Plz help due tomorrow
Answer:
4n+2=15
Step-by-step explanation:
If you count 4 n's and then add 2, the bar is the same length as the 15 bar. ~logic~
Which statement about rational numbers is false?
O A. They can be written as terminating decimals.
B. They can be written as ratios of two integers.
O C. They can be written as fractions whose equivalen decimals repeat.
O
D. They can be written as fractions with a denominator of 0.
Find the zeros of y=x2 - 4x-9 by completing the square.
A X=3/13
B. x=13
C. x=-21-13
D. x=213
Answer: B
Step-by-step explanation:
Please help if you understand table of products and standard forms!
Answer:
x -2
4x 4x² -8x
2 2x -4
=> = 4x² - 6x - 4
explain how to find cot, sec, csc
Answer:
The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4
plz give brainliest
Step-by-step explanation:
3. A horse eats 18 kg of corn in 12 days? How much does he eat in 9 days?
(a) 11.5 kg
(b) 12.5 kg
(c) 13.5 kg
(d) 14.5 kg.
Explanation
Answer:
13.5
Step-by-step explanation:
becoz,
18*9/12
=13.5
Fill in the blanks. If a quadrilateral is both a __ and a __ , then it is a square.
Answer: rhombus and parralelogram
Step-by-step explanation:
Answer:
rhombus and parralelogram
Step-by-step explanation:
Nabi has 112 inches border she uses 8 feet of the border. How much border is left
A farm lets you pick 2 pounds of blueberries for 5 dollars.
1. the unit rate of dollars to pounds is ___ dollars per 1 pound
2. the unit rate of pounds to dollars is ___ pounds per 1 dollar
Very much struggling with geometry right now, would appreciate the help ❤️
Answer: x= 30
Step-by-step explanation:
These are corresponding angles which means they are equal. (2x+25) = (3x-5). Subtract 2x from both sides. 25 = x-5. Add 5 to both sides. 30 = x
8/2 x 777/8 =
What is it?
Over the period of a year, Julie's net worth decreased. Which of the following could be true?
A. Julie's assets and liabilities decreased by the same amount.
B. Julie's assets and liabilities increased by the same amount.
C. Julie's assets increased by more than her liabilities.
D. Julie's assets decreased by more than her liabilities.
Please select the best answer from the choices provided
А
B
С
D
all you need is in the photo
PLEASE DON'T DO STEP BY STEP
PUT ONLY THE ANSWER
PLEASEEEEEEEEEEEEEEEEEEEEE EEEEEEEÈ
aggravated
Answer:
Step-by-step explanation:
-4 and 3
HELP WITHIN A HOUR!
Show work, please!
Answer:
A) 24
B) 24
Step-by-step explanation:
A) equilateral triangle means that all sides are equal
so each side is = 24 because the perimeter = 72
72/3= 24
B) 1 side = 24 and they gave you that 10+7h = 24
so h = 2
so hight of triangle = 2
Area = 1/2(b)(h)
so 24(2)(0.5) = 24
_____
Have fun, don't forget to brilliant ❤
A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and height
as the cylinder?
The approximate volume of a cone with the same diameter and height as the cylinder is 131.95 cm³.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.Radius = diameter/2 = 6/2 = 3 cm.
By substituting the given parameters into the volume of a cylinder formula, we have the following;
Volume of cylinder, V = π × 3² × 14
Volume of cylinder, V = π × 9 × 14
Volume of cylinder, V = 395.8 cm³.
For the volume of this cone, we have:
Volume of cone, V = 1/3 × πr²h
Volume of cone, V = 1/3 × 395.8
Volume of cone, V = 131.95 cm³.
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You put 40% of your paycheck into your savings account. If you earned $180 on your paycheck, then how much money did you put into your savings account?
Answer:
75
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
plsss helppp>
For the line y=4x+5, the parent function is ____
Alice received a 40% on her science test. Alice correctly answered 16 questions. How many questions were on the test.
Answer:
40 questions were on the test.
Step-by-step explanation:
40%=0.4
0.4x=16
x=16/0.4
x=40
Triangle MNO is rotated 180degree using the origin as the center of rotation.
On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).
Which sequences of transformations will produce the same results? Check all that apply. Triangle MNO is rotated 180degree using the origin as the center of rotation.
On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).
Which sequences of transformations will produce the same results? Check all that apply.
Answer:
b dce
Step-by-step explanation:
What is the slope of the line going through the points ( -1, 4 ) and ( -1, -3 )?
PLEASE HELP
8n - 2(n+5) = -3 + 6n
Answer:
No solution
Step-by-step explanation:
There are no values of n that make the equation true.
8n −2(n+5) = −3 + 6n
First Step: Simplify both sides of the equation
(Distribute) 8n + (-2)(n) + (-2)(5) = -3 + 62
8n + -2n + -10 = -3 + 6n
(Combine like terms) (8n + −2n) + (−10) = 6n − 3
6n + −10 = 6n − 3
6n − 10 = 6n − 3
Step 2: Subtract 6n from both sides
6n − 10 − 6n = 6n − 3 − 6n
-10 = -3
Step 3: Add 10 to both sides
-10 + 10 = -3 + 10
0 = 7 (No Solution) (Answer)
Help need answer fast
Answer:
2
Step-by-step explanation:
X = 2
3(2) + 3 = 4(2) + 1
6 + 3 = 8 + 1
9 = 9
PLEASE HELP
1. Horizontal streets are parallel to each other. The angle measure of the two streets that intersect at Cathy’s Coffee is 95 degrees.
(a) Suppose you are traveling northeast from Ivan’s Ice Cream and turns West at Isabel’s Ice Cream. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(b) Suppose you are traveling southwest from Beverly’s Burgers and turn East at Bob’s Burgers. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(c) Suppose you are traveling southwest from Beverly’s Burgers and turn West at Connie’s Coffee. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
Answer:
A)
45 degrees, and it is congruent.
90/2 = 45
Since it is an Alternate Interior, it is congruent.
B)
45 degrees. It is also congruent since it is an Alternate Exterior.
C)
135 degrees. It is a linear angle/linear pair.
180-45=135
I actually worked really hard for this so please consider that. I couldn't find help anywhere.
On a school trip 1/5 of teachers classes will be going if there are 105 students in all his classes how many students will be on the trip please help
Answer:
The answer is 21 ,
The quotient law states: keep the base the same and___
the exponents.
subtract
divide
multiply
add
Enter the value of the missing blank when the expression 15.9x +
is equivalent to 5.3(3x - 1.5)
Answer:
The answer is
[tex] - 7.95[/tex]
Step-by-step explanation:
[tex]15.9x + c = 5.3(3x - 1.5) \\ 15.9x + c = 1.9x - 7.95 \\ c = - 7.95[/tex]
??? I need help :(((