Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.4 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
Answer:
$24.96
Step-by-step explanation:
Total number of gallons irede had in his tank = 6.4gallons
Price per gallon is $3.90
To get the cost of 6.4gallons;
If 1 gallon = $3.90
6.4gallons = $x
Cross multiply
1 * x = 3.90 * 6.4
x = 24.96
Hence Irene spent $24.96 on gas
in the equation (m^5/6) (m^1/6)^7 = m^x , what is the value of x that makes the equation true?
The value of x in the equation (m^5/6) (m^1/6)^7 = m^x is 2
What is the law of exponent?The exponents of numbers are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent: a^m×a^n = a^(m+n); a^m÷a^n = a^(m−n);
(am)ⁿ = a^mn.
Given an equation, (m^5/6) (m^1/6)^7 = m^x
Using the law of exponent, we get,
(m^5/6) (m^1/6)^7 = m^5/6*m^7/6
= m^(5/6+7/6)
= m^12/6
= m^2
Hence, the value of x in the equation (m^5/6) (m^1/6)^7 = m^x is 2
For more references on the law of exponents, click;
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Please Hurry! Due by tonight!
Step-by-step explanation:
the y-intercept is 1 because it's on the y(axis). the line from 1 goes down 1 over three so the slope is 1/3.
your equation would be y=1/3x+1
The ratio of blueberries to strawberries in a fruit salad is 4:3. If there are 45 strawberries in a salad, how many blueberries are there.. Blueberries 4 Strawberries 3
Answer:
60 blueberriesStep-by-step explanation:
Given the ratio of blueberries to strawberries in a fruit salad to be 4:3. The total ratio = 4+3 = 7
If there are 45 strawberries in the salad then we can first calculate the total mixture of both as shown;
amount of strawberries = 3/7 * x = 45
x is the total amount of mixture
from the expression;
3x/7 = 45
cross multiply
3x = 7*45
3x = 315
x = 315/3
x = 105
The amount of blueberries present = 105 - 45 = 60
Hence the amount of blueberries present is 60 blueberries
i need help i will mark brainliest!! look at the pictures
Answer:
yes
Step-by-step explanation:
the picture is not clear
The formula for the volume of a cylinder is V = gran.
Solve V = 872) for h, the height of the cylinder.
O A. =
nar
B. n =
O c. h =
Vr2
O D. h=
372
Answer:
B . n
Step-by-step explanation:
The matrices show the number of indoor and outdoor volunteers in different age groups
create a matrix that shows the total number of indoor and outdoor volunteers in different age groups. name the matrix T.
what is the value of the element t11 and what does the value indicate?
create a matrix by subtracting the women's matrix from the mens matrix. name the matrix D.
what is the value of the element at d12 and what does that value indicate?
Answer:
(a) M + W = Indoor= [26 55] Outdoor = [32 49]
(b) The value indicates the sum of the indoor volunteers ages 18-39 so the Value would be, 34.
(c) M – W = Indoor = [8 15] Outdoor = [-16 3]
(d) This value indicates the difference of the volunteers indoors 40. So the value would be 15.
Step-by-step explanation:
If this is wrong my apologies i tried LOL
but i will let you know when i get the results back asap!
The value of the element t11 is 34 and the value of the element at d12 is 15.
When are two matrices called being equal?Two matrices are equal if and only if their shapes are same, and they've got the same elements for each corresponding row and column positions.
M + W = Indoor= [26 55] Outdoor = [32 49]
The value indicates the sum of the indoor volunteers ages 18-39,
Therefore, the Value would be, 34.
To create a matrix by subtracting the women's matrix from the mens matrix.
Now the difference;
M – W = Indoor = [8 15] Outdoor = [-16 3]
This value indicates the difference of the volunteers indoors 40 so
Therefore the value would be 15.
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Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?
Answer:
Required Answer:-First go to first equation[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]
Take common[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]
due soon will give brainalist no fake answers!!
Answer:
90gr strawberry jelly
6 sponge fingers
315ml custard
135gr tinned fruit
Step-by-step explanation:
120/4 = 30 * 3 = 90
8/4 = 2 * 3 = 6
420/4 = 105 * 3 = 315
180/4 = 45 * 3 = 135
In RST, if m
than seven times x, find x and the measure of each angle.
Answer:
RST
Step-by-step explanation:
Name a ray with an endpoint of A.
Noah pays $7.65 for a cappuccino on days he's running late to work. One week, he was late on Monday, Wednesday, and Friday. How much did he spend (in $) on cappuccinos that week? $
Answer:
Amount Noah spent on cappuccino for that week = $22.95
Step-by-step explanation:
Noah pays $7.65 for a cappuccino on days he's running late to work
Cost of cappuccino per day = $7.65
One week, he was late on Monday, Wednesday, and Friday.
That is 3 days in a week
How much did he spend (in $) on cappuccinos that week? $
Amount Noah spent on cappuccino = cost of cappuccino per day × 3 days
= $7.65 × 3
= $22.95
Amount spent on cappuccino for that week = $22.95
Sales tax in a certain community is 5%. If the sales tax on a new car was $1400, what was the selling price of the car?
Answer:
Step-by-step explanation:
Selling price = (100+5)/100 × 1400
= 105 × 14
= $ 1470.00
Answer:
28000 plz rate this thanks
Calcula la relación entre los volúmenes de estos dos cilindros, si el radio de uno de ellos es el doble que del otro
Answer:
calfdmf mjd fmjs wsmc wsjmc jesd jms
Step-by-step explanation:
Need help If correct will give brainiest
In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily replies, "Ah, but in 22 years time I shall only be twice her age." How old are the uncle and the woman?
Answer:
her 22 him 66
22 years later her 44 and him88
Step-by-step explanation:
she hase to be 18 or older, but 22 works
so 22 x 3 = 66 he is 3 x older
him 66 +22=88 ,her 22+22= 44 x2 =88
What is the square root function?
Answer:
f(x) = [tex]\sqrt{x}[/tex]
Step-by-step explanation:
hope this helped :-)
What equation represents a line that passes through (2,-1/2) and has a slope of 3.
how do I do this?
I don't understand geometry and it's really confusing can one of you help me?
Answer:
lol im stuck too
Step-by-step explanation:
Solve 3.8 = 2x - 11.2.
X=__
Answer:
x= 15/2 im pretty sure
Step-by-step explanation:
We want to solve the given linear equation, we will find that the solution is x = -3.7
Solving linear equations:
Here we have the equation:
3.8 = 2*x - 11.2
We want to solve this for x, so we can start by subtracting 11.2 in both sides to get:
3.8 - 11.2 = 2*x
-7.4 = 2*x
Now we can divide both sides by 2:
-7.4/2 = x = -3.7
So the solution is x = -3.7
If you want to learn more about linear equations, you can read:
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A 14 foot long ramp is being built to access a front door in a house. The door is 5 feet above the ground. How far away from the base of the house must the ramp be placed? What angle will the ramp make with the ground?
Answer:
The ramp must be placed 13.08 feet from the base of the house.
The angle the ramp will make with the ground is 20.92°.
Step-by-step explanation:
An illustrative diagram for the scenario is shown below.
In the diagram, d represents the distance of the door from the ground, r represents the length of the ramp and x represent the distance of the ramp from the base of the house.
To determine how far away from the base of the house the ramp must be placed, that is to determine x in the diagram.
The diagram is a right angle triangle and x can be determine using the Pythagorean theorem which states " the square of the hypotenuse equals sum of the squares of the other two sides"
In the diagram, the hypotenuse is r
∴ r² = d² + x²
r = 14 ft
d = 5 ft
∴ 14² = 5² + x²
196 = 25 + x²
Then, x² = 196 - 25
x² = 171
x = √171
x = 13.08
Hence, the ramp must be placed 13.08 feet from the base of the house.
Now, to determine what angle the ramp will make with the ground, that is θ in the diagram.
From the formula
Sinθ = Opposite / Hypotenuse
In the diagram, opposite = d = 5ft
and Hypotenuse = r = 14ft
∴ Sinθ = 5ft / 14ft
Sinθ = 0.3571
∴ θ = Sin⁻¹(0.3571)
θ = 20.92°
Hence, the angle the ramp will make with the ground is 20.92°.
2/5(5 + x) = 8
What is x if the equation equals 8
Answer:
x=15
Step-by-step explanation:
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b.
Step-by-step explanation:
Answer:
a. 6
b. 0 i think
Step-by-step explanation:
If an oxygen atom gains 2 electrons what is it's overall charge?
(Remember: electrons have a negative charge)
Answer:
I think it would be -2 if it has a negative charge
Step-by-step explanation:
How can you tell that the inequality 3x - 1 > 3x + 2 has no solution just by looking at the terms in the inequality? Please help. I cant do math!
Answer:
A
Step-by-step explanation:
You want to double the 3 into the right square. Then add 15. After that, move the 7 into the 10 square.And there you go. You got 19-
2y + 14x - 7x + 9y
Answer:
1, - 2
Step-by-step explanation:
Answer:
7x + 11y
Explanation:
1. Subtract 7x from 14x. 2y + 7x + 9y
2. Add 2y and 9y together. 11y + 7x
if if x equals 3 and Y equals negative 2 - x 3 - Y2
Answer:
13
Step-by-step explanation:
x=3, y=-2 so 3(3)-(2)2=13
Use the quadratic formula to solve the equation.
5x2-3x + 1 = 0
X=
Answer:
x= 11/3
Step-by-step explanation:
Solve the equation 7x+12=x−6 to find the number, x .
x= __
Answer: -3
Step-by-step explanation:
Triangle PQR is similar to Triangle XYZ. PQ=3 and XY=6. If the perimeter of Triangle XYZ is 20, what is the perimeter of Triangle PQR?
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
scale factor = [tex]\frac{PQ}{XY}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
That is the sides of Δ PQR are half those of Δ XYZ, thus
The perimeter of Δ PQR is half Δ XYZ, that is
perimeter of Δ PQR = [tex]\frac{1}{2}[/tex] × 20 = 10
Louisa cuts 7 peices of yarn.
Answer:
i need more details
Step-by-step explanation: