Answer:
6x - 14
Step-by-step explanation:
4(2x - 3) - 2(x + 1)
1. Expand both brackets
(8x - 12) - (2x + 2)
2. Simplify
8x - 2x = 6x
-12 - 2 = -14
Therefore, 4(2x - 3) - 2(x + 1) = 6x - 14
A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil. What would be a reasonable amount to pay for 10 gallons of gasoline and 2
quarts of oil?
O $20
O $23
O $25
O $27
The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.
Now,
Since, A service station on the interstate charges $2.29 per gallon for gasoline and $1.89 per quart for oil.
Hence, We get;
The cost of 10 gallons of gasoline = 10 × $2.29
= $22.9
And, The cost of 2 quarts of oil = 2 × $1.89
= $3.78
So, The total cost = $3.78 + $22.9
= $26.68
≈ $27
Thus, The reasonable amount to pay for 10 gallons of gasoline and 2 quarts of oil will be $27.
Learn more about the multiplication visit:
https://brainly.com/question/28768606
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Find the properties of the parabola with the equation (x - 1)^2 = (y - 1). Leave answers in fractional form.
Directrix
y = 5/4
x = 3/4
y = 3/4
Answer:
B
Step-by-step explanation:
I hope i helped and ur welcome
MC)
The equation represents Function A, and the graph represents Function B:
Function A
f(x) = 6x-1
Function B
4
3
2
1
- 2
-3
-4
-5
-6
Which equation best compares the slopes of the two functions?
Previous Question
Take 2points on graph
(0,1)(1,4)[tex]\\ \sf\longmapsto slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4-1}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=3[/tex]
will mark brainlest answer the question in the picture linked below
and explain as well
Answer:
¹⁰√4
Step-by-step explanation:
4^(2/5*1/4)
4^(1/10)
¹⁰√4
do
any one need points
Alicia has hair that is 32 inches long. She asks the hairdresser to cut off 1/4 of the total length of her hair.
How many inches does the hairdresser cut?
Answer:
hairdresser cuts 8 inches
Step-by-step explanation:
32 ÷4 =8
2. Identify the like terms in the expression -6 - 3x2 + 3x - 4x + 9x2.
Answer:
3x^2 and 9x^2, 3x and 4x
Step-by-step explanation:
From 2 Points:
(1,5) & (-2,3)
The formula to find the slope between these two points is
(1-5)/(-2-3)
(1--2)/(5-3)
(5-3)/(1--2)
The angles of a triangle are A, B and C.
Angle A is three times as big as angle B.
Angle B is half the size of angle C.
What is the size of angle A?
Answer:
∠A = 90°
Step-by-step explanation:
∠A = 3∠B
∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B
∠A + ∠B + ∠C = 180, because there are 180° inside a triangle
Write angle A, B and C in terms of angle B:
3 ∠B + ∠B + 2 ∠B = 180
Simplify:
6 ∠B = 180
∠B = 180 ÷ 6 = 30°
Work out angle A:
∠A = 3∠B = 3 × 30°
∠A = 90°
Let a, b, and c be real numbers where a . b*C+0. Which of the following functions could represent the graph
below?
ASAP PLS
Answer:
Step-by-step explanation:
8) What is the area of a polygon with vertices
A(-2,4), B(4,4), C(7,0) and D(-5,0)?
(A) 48
(B) 42.5
(C) 36
(D) 24
Answer:
[C] 36.
Step-by-step explanation:
the given polygon is trapezoid, where its bases are AB and CD.
The required area can be calculated using the formula: A=0.5(AB+CD)*h, where h - height of the ABCD.
The lengths are: AB=6; CD=12; h=4, then the required area:
A=0.5(6+12)*4=36
Answer fast, please!!
james likes to make sculptures. First he makes a scale and then he blows it up to normal size. The height of the scale model is 3 inches. The scale he is using is 1inch = 3 feet. How tall is the sculpture?
Mikael has a loan of $40 000.
He pays 1.6% simple interest for six months
How much interest does he pay altogether?
Step-by-step explanation:
Based on the given conditions,
[tex] formulate: 1.6\% \times 40000 \times 12 \div 12
[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}
[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]
[tex]Reduce the fraction: 2 \times320
[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]
Answer 640
Answer:
[tex]\sf\longmapsto \: 640[/tex]
Step-by-step explanation:
Based on given cases:
[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]
Reduce the fraction:
[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]
[tex] \sf \longmapsto \: 320 \times 2[/tex]
Calculate the product/quotient:
[tex] \sf\longmapsto \: 640[/tex]
Edward opens a new account and makes a deposit of $150. He then makes withdrawals of $10, $20 and $25, before depositing $30 more. What is the new balance?
5+5+5+5+2454+76492+69238120+65928
Answer:
5 + 5 + 5 + 5 + 2454 + 76492 + 69238120 + 65928 = 69383014
Step-by-step explanation:
69383014 is the answer, I used a calculator
Please let me know if Im incorrect
Answer:
5+5+5+5+2454+76492+69238120+65928=69383014
Solve the following two problems using Calculus. Show all of your work on a separate sheet of paper, making clear how you arrived at all your solutions. Please be aware that you are using similar thinking for both of these problems, but you are solving for maximum area in Part A and minimum cost in Part B. Enjoy
A. If the materials for the fence cost $12 per foot, find the dimensions of the
corral for the largest possible area that can be enclosed with $2400 worth of fence.
B. If he only requires an area of 288 square feet for his vegetable garden, find the minimum cost of putting up this fence, if the cost per foot is $10. Indicate the dimensions of the garden that will minimize the cost.
9514 1404 393
Answer:
A. 50 ft square
B. 12√2 ft square
Step-by-step explanation:
These problems are basically the same, so have the same solution. The rectangle with maximum area for a given perimeter will have the same shape as the one with minimum perimeter for a given area.
We can find it generically. Let p represent the perimeter of a rectangular area with one side that measures x. The area will be ...
A = x(p/2 -x) = -x^2 +(p/2)x
The area will be maximized when dA/dx = 0:
dA/dx = -2x +p/2 = 0
p/2 = 2x . . . . . add 2x
x = p/4 . . . . . . divide by 2
The other dimension is ...
p/2 -x = p/2 -p/4 = p/4
The dimensions of the maximum area for perimeter p are ...
p/4 × p/4 . . . . . . . a square
__
A.$2400 worth of fence at $12 per foot is 2400/12 = 200 ft of fence. The largest possible area that can be enclosed will have dimensions of 200 ft/4 = 50 ft square:
50 ft × 50 ft
__
B.The perimeter of the garden will be at its shortest when the shape of the garden is square.
√(288 ft²) = 12√2 ft
The dimensions of the garden that will minimize the cost are ...
12√2 ft × 12√2 ft
PLEASE ANSWER THIS ROTATIONAL SYMMETRY QUESTION ITS 6TH GRADE I WILL GIVE U THANKS AND BRAINLIEST
Answer:
See below:
Step-by-step explanation:
The first one is 4 since if we turn if 90 degrees 4 times we will get the same shape 4 times.
The second one is 1 since we will only get it after a 360 degree rotation once,
The third one is once since we wont ever get the same shape since the arrow but only after a 360 degree rotation.
The fourth one is only once since we cant rotate a 3 sided object in 4 ways, hence its only once
The fifth one is twice since it will be the same at 180 and 360 degrees.
Please help me to làm bài
Answer
Xét f'(x)=0, tìm các giá trị x, lập bảng biến thiên
Đồ thị:
Step-by-step explanation:
The sum of 3 consecutive numbers is 126. Find the numbers.
Answer:
Hello!!
The sum of 3 constructive numbers is 126. The three constructive numbers are...
[tex]41+42+43=126[/tex]
Hope this helps!!
What is the distance between -33 and -18.5 on a number line
Step-by-step explanation:
The distance between two numbers in a number line is obtained by subtract the two numbers. The order of the subtraction starts with the number a bigger value followed by the number with the smaller value. For example,
x
and
y
are the two numbers and
x
≥
y
, then the correct order should be
x
−
y
.
Answer and Explanation:
Become a Study.com member to unlock this answer! Create your account
Given the numbers
7
and
−
11
on the number line, find the distance between the two numbers.
Solution:
Since
7
is...
Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?
What is the inverse of the function?
f(x) = 3^x + 1
f^-1(x)= log3 (x) +1
f^-1(x)= log3(x)-1
f^-1(x)=log3(x+1)
f^-1(x)=log3(x-1)
Answer:
f^-1(x)=logs3(x+1)
Step-by-step explanation:
Let y=f(x)
[tex]\\ \rm\Rrightarrow y=3^x+1[/tex]
Interchange[tex]\\ \rm\Rrightarrow x=3^y+1[/tex]
[tex]\\ \rm\Rrightarrow lnx=ln(3^y+1)[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{ln(y-1)}{ln3}[/tex]
Again interchange
[tex]\\ \rm\Rrightarrow f^{-1}(x)=\dfrac{ln(x-1)}{ln3}[/tex]
Prime numbers have, less than two factors, more than two factors, exactly two factors, less than or equal to two factors.
Answer:
exactly 2
Step-by-step explanation:
Prime numbers, the way I was taught to answer this question, has less than 2 factors. The reason is that 1 is considered a factor. However, I think the definition has changed and a prime has exactly two factors -- 1 and itself. 11 is a prime number: only 11 and 1 will divide into it.
Answer:
C exactly two factors.
Step-by-step explanation:
its 2 factors since 1 is considered a factor and 11 is a prime number so it be 2.
a) Find the ratio of the number of boys to the number of girls in a class if the number of boys is
115 and that of girls is 46.
Answer:
5/7
Step-by-step explanation:
First calculate the total number of students:
Girls + boys
= 46 + 115
= 161
Then divide the number of boys over all students
= 115/161
= 5/7
4/8 -2/8 = help me simplify the answer help plzz
Answer:
the answer is 0.25
Step-by-step explanation:
hope that helps
Simplify the radicals below.
Answer:
2(∛6 )
Step-by-step explanation:
∛12 × ∛ 4 = [tex]\sqrt[3]{12*4}[/tex] = ∛48 = [tex]\sqrt[3]{2^{3} *6}[/tex] = 2(∛6 )
A manager announces that a sweater will go on sale every month at a discount of 25% less than the previous month’s price. If the sweater is at full (retail) price today, how many months from today will it take the price of that sweater to drop to half of today’s price
Answer:
2 months
Step-by-step explanation:
its at full price at 100%
if it goes down 25% it'll take 2 months to drop half of today's price because 25 x 2 = 50
half of 100
place the boxes in the correct location this Math problem 15 points
Answer:
but where is the question please type your full questions
-1/3x-1/6=2/9 solution
Answer:
-1 1/6
Step-by-step explanation:
Use a common denominator first to convert all the fractions so they can be easily added or subtracted.
Common denominator is 18 since 3, 6, and 9 can all evenly divide into 18
1/3 = 6/18
1/6 = 3/18
2/9 = 4/18
So now you have
-6/18x - 3/18 = 4/18
add 6/18x to both sides so you can make the number with the variable positive
6/18x - 6/18x - 3/18 = 4/18 + 6/18x simplifies to - 3/18 = 4/18 + 6/18x
subtract 4/18 from both sides
- 3/18 - 4/18 = 4/18 - 4/18 + 6/18x simplifies to - 7/18 = 6/18x
Divide both sides by 6/18 so x is alone on the one side
( - 7/18) / ( 6/18) = ( 6/18x) / ( 6/18) simplifies to ( - 7/18) / ( 6/18) = x
When you divide a fraction by a fraction, the bottom fraction gets flipped over then you multiply the two new fractions straight across
so the new equation looks like this
- 7/18 times 18/6 and you multiply -7 x 18 = -126 and the bottom is 18 times 6 = 108 you now have -126/108
x = -126/108 which simplifies to - 1 18/108 which can still be simplified more to -1 1 / 6 since 108 can be divided by 18 that gives you 6.