Answer:
8
Step-by-step explanation:
Last month, Harri drove 850miles in his car. His car's fuel consumption is 45.6 miles per gallon petrol cost £1.09 per litre given that 8 pints=1 gallon work out how much Harri spent on fuel last month
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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Barred owls often lay two eggs, and each resulting chick has an equal probability of being male or female. What is the probability that both chicks are male, given that at least one of them is male?
Geometry: How do I do this?
“Solve for x, given that
Answer:
x = 20
Step-by-step explanation:
If angle PQS is = 70° then
x + 10 + 4x - 40 = 70 add like terms
5x - 30 = 70 add 30 to both sides
5x = 100 divide both sides by 5
x = 20
Find the value of each variable,
y =
Z=
Anyone know how to solve this?
Answer:
b = 22
Step-by-step explanation:
Here b represents the length of the hypotenuse, and 11 is the length of the side opposite the 30 degree angle. We want to find the value of b. We use the sine function here because we have the angle measurement (b), the angle 30 degrees and the "opposite side" 11:
sin 30 degrees = (1/2) = 11/b, which, if inverted, is 2 = b/11, or b = 22
Mr. Green cuts his lawn every 8 days, while Mrs. Grasse cuts her lawn every 10 days. Suppose they both cut their lawns today. What is the least number of days that will pass before both Mr. Green and Mrs. Grasse cut their lawns on the same day again? *
someone help me with this plz
A bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet. A sandbox has a volume of 16 cubic feet. Approximately how many pounds of sand will it take to fill the sandbox?
Answer:
1344
Step-by-step explanation:
2 bags of sand = 1 cu ft
2 bags of sand = 84 lbs
Sandbox holds 16 cu ft
16 cu ft * 84 lbs per cu ft = 1344 lbs
I really really need your help!!
Answer:
1.) 1/2x = 32
2.) 3x = 18
3.) x/7 = 4
4.) 5m=105
divide both sides by 5
m= 21
5.) -2c=-32
divide both sides by -2
c=16
6.) x/4=-44
multiply both sides by 4
x=-176
7.) s/-3 = -21
multiply both sides by -3
s=63
Solve the system by elimination 2x-3y=23 x+3y=-20
Answer:
x = 1
y = -7
Step-by-step explanation:
2x-3y=23
+ x+3y =-20
3x + 0 = 3
x = 1
(1) + 3y = -20
-1 -1
3y = -21
y = -7
solve equation by completing the square 5n^2-3n-10=15
Can someone please do this problem
Answer: 250
Step-by-step explanation:
5/1250
5 divided by 1 is 0, because 5 cannot go into 1
bring the 2 down.
5 divided by 12 is 2, 2 times 5 is 10, 12 minus 10 is 2
bring the 5 down.
5 divided by 25 is 5, 5 times 5 is 25,
bring the zero down.
5 divided by 0 is 0, 5 cannot go into 0.
Multiple Choice –64 ÷ 4 = ? A. 15 B. –15 C. 16 D. –16
Answer:
D
Step-by-step explanation:
- ÷ + = -
AND 64/4 IS 16
SOO -16 IS THE CORRECT ANSWER
In the similar triangles below, solve for the value of X.
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
Corresponding segments are proportional.
(3x +1)/10 = (7x -1)/22
11(3x +1) = 5(7x -1) . . . . . . multiply by 110
33x + 11 = 35x -5 . . . . . . eliminate parentheses
16 = 2x . . . . . . . . . . . add 5-33x to both sides
8 = x . . . . . . . . . . divide by 2
Answer:
Solution :-[tex] \sf \bull \large \: \dfrac{3x + 1}{10} = \dfrac{7x - 1}{22} [/tex]
On cross multiplication
[tex] \large \tt \: 22(3x + 1) = 10(7x - 1)[/tex]
[tex] \large \tt \: 66x + 22 = 70x - 10[/tex]
[tex] \large \tt \: 70x - 66x = 22 - 10[/tex]
[tex] \large \tt \: 4x = 12[/tex]
[tex] \large \tt \: x = 3[/tex]
______% of 200 miles is 150 miles.
Answer:
75%
Step-by-step explanation:
150/200 × 100 =75
Divide 150 by 200:
150/200 = 0.75
Multiply by 100:
0.75 x 100 = 75%
The answer is 75%
What are the solutions to the system?
y = x2 – 2x – 8
y = x + 2
O A. (5, 7) and (-2,0)
O B. (5:3) and (-2, 4)
O C. (-5, -3) and (2, 4)
o
D. (5,3)and (2, -4)
Answer:
A
Step-by-step explanation:
I just plugged each variable into the equation. A is the only one that works.
Help please! I don't really understand :/
0.3 x 103
0 3 x 1025
Write the following as an ordinary number. [
(1 Point
3x10
What is the answer to this and how do I do it???
Answer
C
You just reverse the way you read the question.
given a sphere with a radius of 3 cm, find its volume to the nearest whole number
Answer:
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Step-by-step explanation:
Evaluate the 3 for r.
Ans. 36π or 113
Answer:
113cm^3
Step-by-step explanation:
V=4/3 pi r^3
Perimeter, Circumference, and Area
Acellus
3 ft
Find the outer perimeter of
this figure. Round your
answer to the nearest
hundredth. Use 3.14 to
approximate 7.
4 ft
5 ft
5 ft
P = [?] ft
surface area of this cone?
Use A= 3.14 and round your answer to the nearest hundredth
9 ft
6 ftsurface area of this cone?
Use A= 3.14 and round your answer to the nearest hundredth
9 ft
6 ftsurface area of this cone?
Use A= 3.14 and round your answer to the nearest hundredth
9 ft
6 ftv
Answer:
19.42
Step-by-step explanation:
A group of four friends goes to a restaurant. They all order a burger that cost b and fries for $1.39. One friend also gets dessert for $2.49. Their total is $28.01. Write an equation can be used to find the cost of one burger. *
Is 0.709 better than 0.81 or is it twisted around?
Answer:
twisted.................
Divide.
(8x^3+ 31x^2+ 6x +40) + (2x+8)
Answer:
divide them by what?
or fivide it with eachother?
Write an equation in point-slope form of the line that passes through the given points. (-2,-5), (4,-1)
Answer:
Step-by-step explanation:
(-1 + 5)/(4 + 2) = 4/6= 2/3
y + 5 = 2/3(x + 2)
y + 5 = 2/3x + 4/3
y + 15/3 = 2/3x + 4/3
y = 2/3x - 11/3
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with 3/4 lb
Answer: 1 and a half batches
Step-by-step explanation:
(2, - 9),(- 1, 4)=
Plssss helppp me rnnn
What is the solution set for StartAbsoluteValue 4 minus StartFraction x over 2 EndFraction EndAbsoluteValue = 8?
A.x = negative 24 and x = negative 8
B.x = negative 24 and x = 24
C.x = negative 8 and x = 8
D.x = negative 8 and x = 24
The solution to the set is .x = negative 8 and x = 24.
What is Absolute value?The separation of a number from a number line's origin is referred to as a number's absolute value. It is denoted by the symbol |a|, which specifies the size of any integer 'a'. Any integer's absolute value, regardless of its sign or whether it is positive or negative, will be a real number. The modulus of a, which is how two vertical lines |a| are used to symbolise it.
Given:
|4 - x/2| = 8
So, there are two possibilities
4- x/2 = 8 or 4 - x/2 = -8
-x/2 = 8-4 or -x/2 = -8-4
-x/2 = 4 or -x/2 = -12
x= -8 or x= 24
Hence, the solution to the set is .x = negative 8 and x = 24
Learn more about absolute value here:
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Solve the two-step equation.
21 27
4 4
DC-
Answer:
Step-by-step explanation:
-2x/3-21/4=27/4, add 21/4 to both sides
-2x/3=12, multiply both sides by -3/2
x=-18
7) Are the expressions equivalent? *
*
8k + 5k = 13k
Answer:
Yes it is equivalent
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
1. combined your like terms (8+5)k
2. add 8+5
3. Answer 13k (bring your K down)