A car can travel 264 miles on 11 gallons of gasoline. How far can it travel on 2
gallons?
Answer:
The answer is 48 miles.
My Logic
If you divide 264 into 11, then you will get 24. 24 is the cars MPG. Then you can Multiply 24 by 2 and you get the answer. Hope this is helpful!
if you need help with Math:)
Answer:
Thanks!
Step-by-step explanation:
I already have it on my phone tho lol
What would be the measure of segment FH?
Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?
Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]
[tex]y_2=54\text{ fluid ounces}[/tex]
To find : [tex]x_2[/tex]
[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]
[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]
Hence, he used 765 grams of blueberries.
PLEASE HELP ASAP GIVING 15 POINTS AND MARKING BRAINLIEST THE FIRST PHOTO IS THE GRAPH THE SECOND IS THE ANSWER CHOICES PLEASE HELP!!!
What is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?
Answer:
D
Step-by-step explanation:
Midpoint Formula:
[tex]\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}[/tex]
[tex]\frac{3+1}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒ [tex]2[/tex]
[tex]\frac{8+-4}{2}[/tex] ⇒ [tex]\frac{8-4}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒[tex]2[/tex]
[tex](2,2)[/tex]
I would really appreciate it if sombody helped me please i suck at me math :(
Is 2(6-3x)+x equivalent to 2(3x)+x?
Last year, Lashonda opened an investment account with $7200 . At the end of the year, the amount in the account had decreased by 24.5% .How much is this decrease in dollars? How much money was in her account at the end of last year?
Answer:
1. $17642. $5436Step-by-step explanation:
Step one:
given data
Initial account balance= $7200
we are told that the decrease was by 24.5%
Step two:
1. How much is this decrease in dollars?
let us solve for 24.5% of $7200
=24.5/100*7200
=0.245*7200
=1764
the decrease is $1764
2. How much money was in her account at the end of last year?
the final account balance is
=7200-1764
=$5436
Write the algebraic notation for dilation with a scale factor of ½
Answer: (x, y) goes to (1/2x, 1/2y)
Step-by-step explanation:
Find the cost with sales tax for an item with a purchase price of $7. Assume that the sales tax is 8%, or 0.08 times the price.
Group of answer choices
Answer:
$7.56
Step-by-step explanation:
$7(.08) = .56 in tax
$7 item cost + .56 in tax
Karen picked apples at the Carter Apple Orchard this weekend. She made a graph to show how many apples she picked.
Karen ate 5 Fiji apples and dropped 4 Gala apples.
After Karen ate and dropped those apples, which two types have the same number of apples?
Choose 2 answers:
A) pink lady
B) rome
C) fiji
D) gala
Answer:
D
Step-by-step explanation:
I hope this help
josh earned $30,000 last year if the tax rate was 15%,how much money can he keep after taxes
Answer:
25500
Step-by-step explanation:
15% of 30000 is (multiply 30000 by .15 to get this) 4500
Subtract 4500 from 30000 and you got the answer
pls help me yes you help
Answer:
C
Step-by-step explanation:
Answer:
C) A car can travel 80 miles on 2 gallons of gasoline.
Step-by-step explanation:
They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.
Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.
Simplified version of answer d: 40 miles/ 20 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Hope this helped you : )
I need help with this assignment
Answer:
1) 3x = 2x + 50
3x - 2x = 50
X= 50
2)6x = 2x + 44
6x - 2x = 44
4x = 44
divide both sides by 4
X = 11
3)8x = 2x + 36
8x - 2x = 36
4x = 36
divide both sides by 4
X = 9
4) 4x = X + 18
4x - X = 18
3x = 18
divide both sides by 3
X= 6
5) 7x + 10 = 3x + 120
collect like terms
7x - 3x = 120 - 10
4x = 110
divide both sides by 4
X = 27.5
6) 20 + 2x = X + 56
collect like terms
2x - X = 56 - 20
X = 36
7) already done
8)12x + 12 = 3x + 84
collect like terms
12x - 3x = 84 - 12
9x = 72
divide both sides by 9
X = 8
9) 3 + 6x = 2x + 27
collect like terms
6x - 2x = 27 - 3
4x = 24
divide both sides by the coefficient of X (4)
X = 6
10) 8x + 2 = 72 + X
collect like terms
8x - X = 72 - 2
7x = 70
divide both sides by the coefficient of X (7)
X = 10
11) 2x + 20 = X + 60
collect like terms
2x - X = 60 - 20
X = 40
12). 4x + 1 = 25 + 2x
collect like terms
4x - 2x = 25 - 1
2x = 24
divide both sides by the coefficient of X (2)
X = 12
I hope this helps
• You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).
9514 1404 393
Answer:
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
Step-by-step explanation:
If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...
y = √3(1 -x)
and the terminal side of the angle α can be described by ...
y = tan(α)·x
We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.
y = √3(1 -y/tan(α)) . . . . substituting for x
y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y
Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...
A(α) = (√3/2)tan(α)/(√3 +tan(α))
Further manipulation can put this in the form ...
A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2
__
For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...
A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2
__
The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
_____
The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°
Solve the proportion 4/5 equals X over 15
Use the distributive property to expand the following expression.
-2(2.1x+3y-1.8)
WILL MARK BRAINLYEST
What is the gfc of 24 and 36
Answer:
6 is the gfc
Step-by-step explanation:
hope this helped :-)
Answer:
it is -
Step-by-step explanation:
Ed wants to buy a basketball for $5, but
his bank account only contains $3. If Ed
purchasos tho baskotball, how much
money will his bank account show?
Which of the following results in the expression 0.22 x 86?
Answer:
18.92
Step-by-step explanation:
Im preatty sure this is right
Answer:
18.92
I multiplied 0.22 and 86
One number is 2 less than a second number.twice the second number is 37 more than 5 times the first. Find more the two number
Answer:
The numbers are -11 and -9.
Step-by-step explanation:
The two numbers are x and y.
x = y - 2
2y = 5x + 37
2y = 5(y - 2) + 37
2y = 5y - 10 + 37
3y = - 27
y = -9
x = - 11
1. Billy's mother started a college fund on Billy's 8th birthday. She
deposited $8,200 into a savings account that yields an interest rate of
0.21% compounded annually. How much money will the savings account
be worth when Billy turns 18 years old?
If a 150-pound teenager eats 5.5 pounds of food per day, is that proportional to a 250-pound panda eating 40 pounds of bamboo a day? Explain your answer.
Answer: No It's not proportional as the constant of proportionality for both of them.are different.
Step-by-step explanation:
For the first part of the question, a 150-pound teenager eats 5.5 pounds of food per day, we've to calculate the constant of proportionality. This will be:
y = kx
150 = 5.5k
k = 27.27
For the second part of the question, a 250-pound panda eats 40 pounds of bamboo a day. we've to calculate the constant of proportionality. This will be:
y = kx
250 = 40k
k = 250/40
k = 6.25
This shows that the 150-pound teenager eats 5.5 pounds of food per day, is not proportional to a 250-pound panda eating 40 pounds of bamboo a day because th e value of k are different.
Michelle has 3
3 cups of cereal. A serving of cereal is cup. How many servings of cereal does Michelle have?
Answer: 4/5
Step-by-step explanation:
Resolver esta ecuación
Answer:
Step-by-step explanation:
f(x)/g(x) = (x+6)/[(x+6)(x-6)]
Cancel (x+6)
Answer is 1/(x-6)
The sum of two numbers is 8. The difference of the same two numbers is 4. What are the two numbers?
Answer:
2 and 6
Step-by-step explanation:
2+6=8. 6-2=4.
Answer:
2 and 6
Step-by-step explanation:
Round 59..166 to the nearest tenth
Answer:
59.2
Step-by-step explanation:
so each number placement after the decimal is different.
it goes tenths place, hundredths place, thousandths place, ten thousandths place and so forth
Answer:
59.2
Step-by-step explanation:
the tenth place is the 1st place on the right side of the dwecimal. so this rounded to the nearest tenth woul be 59.2, since 6 is enough to make 1 round up one more
8(a+4)=___a+___ PLZ HELP IM STUCK ON THIS
Answer:
8(a+4)=8a+32
Step-by-step explanation:
Use the distributive property.
Factor the Expression. 121x + 44 *
11(10x + 4)
21x + 4
11(11x + 44)
11(11x + 4)
i like chicken nuggets
Answer:
what the heck is this
Step-by-step explanation: