Answer:
option a.
abc(a+b+c).
.............
You drive a car that runs on ethanol and gas. You have a 20 gallon tank to fill and you can buy fuel that is either 25% or 85% ethanol. How much of each fuel should you buy to have 50% ethanol in the tank? Will give brainliest!!!!!!!!!!!!!!!!!!
Answer:
11.67 gallons of 25% and 8.33 gallons of 85%Step-by-step explanation:
Let the volume of 25% ethanol be x, then volume of 85% ethanol will be (20 - x)
The ethanol content is:
0.25x + 0.85(20 - x) = 20*0.50.25x + 17 - 0.85x = 10-0.6x = 10 - 17-0.6x = -7x = 7/0.6x = 11.6711.67 gallons of 25% ethanol and
20 - 11.67 = 8.33 gallons of 85% ethanol
Make t the subject of the formula.
u = v+ 2t
9514 1404 393
Answer:
t = (u -v)/2
Step-by-step explanation:
Observe what is done to t:
multiplied by 2v added to the productUndo these operations, starting with the last one and working up the list.
[tex]u = v+2t \qquad\text{given}\\\\u-v=2t \qquad\text{undo addition by subtracting $v$}\\\\\dfrac{u-v}{2}=t \qquad\text{undo multiplication by dividing by 2}\\\\\boxed{t=\dfrac{u-v}{2}}[/tex]
Answer:
[tex]u = v + 2t \\ u - v = 2t \\ t = \frac{(u - v)}{2} [/tex]
t=(u-v)/2 is the right answer.An accountant earns 6% simple interest. You want to find the interest earned on $200 after 8 months.
Answer:
The interest is $12
Step-by-step explanation:
You just put the percent in a decimal form(6%-0.06)Then you multiply 200 with 0.06. And the answer you get is the interest
Hope that helps :)
what expression is equivalent to 3/5x + 2/5 + 3/5x
Answer: 3/5x+2/5+3/5x= 1.6
A department store sells a pair of shoes with an 56.3% markup. If the store bought the pair of shoes for $43.75, what is the selling price to the nearest cent?
Answer:
The selling price for the shoes will be $68.35
Step-by-step explanation:
look at image.... Given that s=5 and t = 6, which statement proves the quadrilateral below to be a parallelogram?
A Both pairs of opposite sides are parallel.
B The diagonals bisect each other
C The diagonals are congruent.
D One pair of opposite sides are parallel and congruent.
Answer: C
Step-by-step explanation:
you put $1,200. in a savings account for four years at 5.6%. what is the total amount in the account after the four years
Answer:
you would have 1,194.4
Step-by-step explanation:
i subtracted.
I neeeeeeddddd helppppppppppppppp
is this right?
Answer:
no the answer is 7.....
Answer:7
Step-by-step explanation:
27 divided by 3 is 9.
so
21 divided by 3 will give u the answer which is 7.
3x + 4 = 21 solve for x
Answer:
3x + 4 = 21
3x = 17
x = 5.67
Answer:
In its exact form, the answer you will get is 17/3
Step-by-step explanation:
Move all terms that aren't x terms to the right side.
Hope this helps you! Have a nice evening and good luck!
put (your aunt’s age a minus 25) in a algebraic expression
Answer:
Step-by-step explanation:
28 - 25 = 3
Matrices C and D are shown below C= 2 1 0 0 3 4 0 2 1 D= a b -0.4 0 -0.2 0.8 0 0.4 -0.6 what values of a and b will make the equation CD = l true?
The question is incomplete. Here is the complete question
Matrices C and D are shown below:
[tex]C=\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex] [tex]D=\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex]
What values of a and b will make the equation CD = I true?
(i) a = 0.5
b = 0.1
(ii) a = 0.1
b = 0.5
(iii) a = -0.5
b = -0.1
Answer: (i) a = 0.5
b = 0.1
Step-by-step explanation: Identity Matrix (I) is a n x n square matrix with the number 1 on the main diagonal and 0 everywhere else.
The question asks for multiplication of matrices, i.e.:
[tex]\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex] . [tex]\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
To multiply matrices, the number of columns of the 1st matrix must be the same as the number of rows of the 2nd.
Matrix C is a 3x3 square matrix and so is matrix D, so, values of a and b:
[tex]2a=1[/tex] [tex]2b-0.2=0[/tex]
[tex]a=\frac{1}{2}[/tex] [tex]2b=0.2[/tex]
a = 0.5 [tex]b=0.1[/tex]
For the equation CD=I be true, a and b has to be 0.5 and 0.1, respectively.
John is buying toy cars. If each car is 0.35 cents, how many cars can John buy with 1,000 dollars?
Answer:
He can buy 2857 cars.
Step-by-step explanation:
In order to find the amount he can buy, you need to divide 1,000/.35. This equals 2857.14 but because you cannot buy .14 of a toy car, you round down to 2857 which is the end answer. Hope this helps :)
Answer: 2857 cars
Step-by-step explanation:
Need this ASAP please...
Answer:
I think x might be 2 i don't know...
Step-by-step explanation:
Options:
• Line A
• Line B
• Line C
• Line D
I’ll give you brainlest!!
Answer:
line D
Step-by-step explanation:
An undefined slope is when the "run" of a line is zero, the line will be vertical. I hope this helps
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2 1/2 points. Each miss is worth −3/4 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
Answer:
I did this on a test and got 29.5 points
Step-by-step explanation:
what is the unit rate if 12 inches of snow in 3 hours?
Answer:
4 inches of snow has fallen rate per hour
therefore the unit rate is 4 inches of snow per hr.
Step-by-step explanation:
Answer:
4 per hour
Step-by-step explanation:
because 12 divided by 3 is 4
Expand and simplify ([tex]2x^{2}[/tex]+3)(4x+5)-8x([tex]x^{2}[/tex]-2)
Answer:
2x(5x + 14) + 15
Step-by-step explanation:
Given: (2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2)
(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 2[tex]x^{2}[/tex](4x + 5) + 3(4x + 5) - 8x([tex]x^{2}[/tex] - 2)
= (8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15) - 8[tex]x^{3}[/tex] + 16x
= 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15 - 8[tex]x^{3}[/tex] + 16x
collecting like terms to have,
8[tex]x^{3}[/tex]- 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 16x + 15
10[tex]x^{2}[/tex] + 28x + 15
Thus,
(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 10[tex]x^{2}[/tex] + 28x + 15
= 2x(5x + 14) + 15
Which graph represents a function with direct variation
Answer:
WHere are the graphs
Step-by-step explanation:
:)
One lap around a track is ½ mile. It takes Bryan ⅛ hour to ride one lap. What is Bryan’s mile per hour?
Answer:
4 miles per hour
Step-by-step explanation:
Total miles = 1/2
Time taken = 1/8
Miles per hour = 1/2 ÷ 1/8
= 1/2 × 8/1
= 8/2
= 4 miles per hour
Bryan’s mile per hour = 4
4 miles per hour
What is the next term of the geometric sequence 3 12 48
Answer:
192
Step-by-step explanation:
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)
Answer:
18π[tex]cm^{2}[/tex]
Step-by-step explanation:
Firstly we will have to find the area of the whole circle so we do....
[tex]A_{circle} =[/tex] π[tex]r^{2}[/tex]
[tex]A_{circle} =[/tex] [tex]9^{2}[/tex]π
[tex]A_{circle} =[/tex] 81π[tex]cm^{2}[/tex]
If we are talking about a whole circle the angels in the middle will be equal to 360°. But in our case we are only talking about 80° out of 360°. In other words we have to find out the area what [tex]\frac{80}{360}[/tex] (in other words [tex]\frac{2}{9}[/tex] )from the whole area is equal to. So we do....
81π[tex]cm^{2}[/tex] x [tex]\frac{2}{9}[/tex] = 18π[tex]cm^{2}[/tex]
PLEASE HELP !?
The chess club at a school has 15 members. The number of games won in tournament play this season by each member is listed. What measure of center is most appropriate to use to describe a typical value for the data in this distribution? Explain your reasoning.
Median
Step-by-step explanation:
HELP PLS PLS ILL MARK U BRAINLIEST
Answer:
angle XYW = -20x + 155
Step-by-step explanation:
angle XYZ = 150
angle WYZ = 20x - 5
angle XYW = y
angle XYZ = 20x - 5 + y
150 = 20x - 5 + y
150 + 5 = 20x + y
y = -20x + 155
So angle XYW = -20x + 155
Simplify:
-(7x-9)
PLEASE HELP ASAP
Answer:
-7x+9
Step-by-step explanation:
All you are doing is distributing the negative
The equation should now be -7x+9 ( a negative times a negative is always positive)
Using the property of exponents, what do you need to multiply 10^2 by to get 10^4 ?
Answer:
We conclude that using the property of exponents, we need to multiply 10² to get 10⁴.
Step-by-step explanation:
Let 'x' be the number we need to multiply 10² by to get 10⁴.
So the expression becomes
[tex]10^2\:\times\:x\:=\:10^4[/tex]
Divide both sides by 10²
[tex]\frac{10^2x}{10^2}=\frac{10^4}{10^2}[/tex]
[tex]\:x=\frac{10^4}{10^2}[/tex]
Apply the exponent rule:
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
so the expression becomes
[tex]x=\frac{10^4}{10^2}=10^{4-2}[/tex]
[tex]x=10^2[/tex]
Therefore, we conclude that using the property of exponents, we need to multiply 10² to get 10⁴.
What is the distance from P to Q?
A. 1 unit
B. 5 units
C. 25 units
D. 7 units
Answer:
i think it is
Step-by-step explanation:
B.5 units
PLEASE Help me...I'd really appreciate it
A music shop charges a deposit of $20, plus a monthly rate of $30 to rent an instrument. For how many months did Avi rent an instrument if he spent a total of $80?
Answer:A) 2 months
Step-by-step explanation:The base fee is $20.
The monthly rate is $30.
We can represent the number of months with the variable ‘x’.
The equation for this problem would look like this: 20+30x=80l
In words, it would be: base fee + monthly rate*x = $80
A music shop charges a deposit of $20, plus a monthly rate of $30 to rent an instrument. For how many months did Avi rent an instrument. For how many months did Avi rent an instrument if he spent a total of $80
A) 2 months
B) 3 months
C) 4 months
D) 5 months
Please SHOW WORK I need help
x⁶
look at the picture
l hope that's help you
Estimate the quotient by rounding the expression to relate to a one-digit fact 1275 ÷ 588 A.2 B.3 C.4 D.5
Answer:
2
Step-by-step explanation:
Round the divisor to the nearest 10 or 100, depending on how many digits are in the divisor.
Round the dividend to the nearest 10, 100, or 1,000 so that all of the digits, except the first one are zeros.
Divide 600 by 30.
Compare your estimate to the exact answer to determine if the exact answer is reasonable.