The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
Given that,
A motorcycle can travel 60 miles per gallon.
We have to find,
How many gallons of fuel will the motorcycle need to travel 40 km?
According to the question,
The motorcycle travel 60 miles per gallon,
The motorcycle travels 40 km,
To convert it into kilometers 60 miles per gallon.
[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]
Therefore,
The gallons of fuel will the motorcycle need to travel 40 km is,
[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]
Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
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Evaluate. 4/9 + 4/5 (2/3)^2 Write your answer in simplest form.
Answer: 25/27
Step-by-step explanation:
4/9 + 4/5 (2/3)^2
4/9 + (4/5)(4/9)
4/9 + (16/54)
24/54 + 16/54
50/54
25/27
Answer:4/5
Step-by-step explanation:
Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Answer:
x=65
Step-by-step explanation:
Based on the given conditions, formulate: 157+3.75 X x=400.75
Rearrange unknown terms and Calculate the sum:
3.75x = 400.75 - 157
3.75x = 243.75
x=243.75 / 3.75
x=65
The cost of labour per hour is $65.
Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.
We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Now, according to question 157+3.75×x=400.75
⇒3.75x=400.75-157
⇒3.75x=243.75
⇒x=243.75/3.75
⇒x=65
Therefore, the cost of labour per hour is $65.
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HELP PLEASE!!!!! THIS IS DUE TODAY!!!!
Answer:
nonlinear
Step-by-step explanation:
it's a parabola
In absolute value equations when it equals to a negative number in the beginning do I make it positive in the positive case?
Answer: x can equal a negative number
Step-by-step explanation: it only exists on the side of the equation with the absolute value not the side that doesn’t If you want help with graphing I can do that too! Hope this helps
whadt is the first and second quotient of 1178 divided by 31
Answer:
its 38
Step-by-step explanation:
use a calculator like i did :)
a produce store sold 32 red apples. if the ration of red apples to green apples sold was 8:3, what is the combined amount ofred and green apples sold?
Answer:
12 apples
Step-by-step explanation:
32/8=4 Then you multiply it by 3 to get 12.
Answer:
41:9
Step-by-step explanation:
You have 32 red apples.
And a ratio of red apples to green.
The ratio is 8:3.
This ratio is a simplified veiw of it.
You need to do,
32 ÷ 8
which equals 3.
So then multiply both sides of the ratio by 3.
8 × 3 is 32
3 × 3 is 9.
Your new ratio is,
32:9
Red apples to green apples.
Now since you need the total amount of apples to green apples.
Add 32 and 9.
Which is 41 total apples.
Your new ratio is,
41:9
4b + 8 / -2 = 10
what is the answer
Answer:
7/2
Step-by-step explanation:
4b+8/-2=10
4b-4=10
4b=10+4
4b=14
b=14/4
simplify
b=7/2
Calculate the average of the numbers shown22,48,11 ,34,5
Answer:24
Step-by-step explanation:
22+48+11+34+5=120
120/5=24
Please solve this problem please ASAP !
Answer:
3/x+2 = 4/y
then y equals
3y = 4(x+2)
y = 4x + 8 / 3
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP
Answer:
$6400
Step-by-step explanation:
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years?
First you want to find how much she will get each year.
Turn 4% into a decimal.
Which you have to move the decimal point over to spaces to the left.
4. ----- .4 ----- .04
Now that you have done that you need to multiply,
$80000 × .04
which is $3200.
Now you know she gets $3200 a year.
Now multiply $3200 by 20.
$3200 × 20
which is $6400.
She will get $6400 interest.
Rachel baked a pie with an area of 94.985 square inches. She gave away a slice of pie with an area of 13.56 square inches. Find the central angle measure of the slice. Numerical answer round to the nearest degree.
It is 103.68 degrees :)
If a = - 4 and b = 5x + 2i , then find the value of a ^ 3 b in fully simplified form.
Answer:
-320x -128i
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
a³b = (-4)³(5x +2i) = -64(5x +2i) = -320x -128i
Help!!! Ill give 100 points!
Answer:
7/20
Step-by-step explanation:
Answer: if you calculate math yo7 would get 7/20
Step-by-step explanation:
what is the example of 897 * 39+(34*964)
Answer:
a_n=a_1+(n-1)d
Step-by-step explanation:
sorry for late anwser
Use the Associative Property to write and expression equivalent to (w+9)+3.
Please use your explanation.
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
Solution:
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
Associative property:-
[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]
Now
[tex]\\ \sf\longmapsto (w+9)+3[/tex]
[tex]\\ \sf\longmapsto 3+(w+9)[/tex]
What is the solution to this equation?
-8×+4=36
Answer:
-4
Step-by-step explanation:
[tex]-8x +4 = 36\\\\\implies 8x = 4-36\\\\\implies 8x = -32\\\\\implies x = -\dfrac{32} 8\\\\\implies x =-4[/tex]
Evaluate the function for = and =.
()=−
Answer:Example: evaluate the function f(x) = 2x+4 for x=5
Just replace the variable "x" with "5":
f(5) = 2×5 + 4 = 14
Answer: f(5) = 14
Step-by-step explanation:
An athlete trains by swimming 3/5 miles in 1 day.
Which expression shows how many miles he would swim in 7 days?
Answer:
3/5 x 7
Step-by-step explanation:
The athlete swims 3/5 miles per day, and in 7 days, he swims the amount of 3/5 per the swimming session he does, so it will be 3/5x7.
Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3. 5% every year. If Tammy sells her home after thirteen years, how much profit will she have made, to the nearest hundred dollars? a. $8,500 b. $87,800 c. $83,700 d. $103,800.
The profit to be made when she sells the house is $103,800.
The first step is to determine the value of Tammy's house in 13 years. The formula to be used is:
FV = P (1 + r)^n FV = Future value P = Present value R = interest rate N = number of years$184,000 x (1.035)^13 = $287,767.92
Profit = value of the house in 13 years - cost of the house
$287,767.92 - $184,000 = 103,767 = $103,800
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Emma and her 3 friends were thirsty so she shared 1/2 gallon of lemonade equally among 4 people. How much did each purdon get
1/8
1/4
1/2
4
Answer:
1/4
Step-by-step explanation:
its kinda hard to
explain
Ummmm would 3x+4 be positive on a graph
Answer:
Part of the time
Step-by-step explanation:
This is a linear line, meaning it is an infinite straight line. Part of the time it will be more than 0, part of the time it will be less than 0.
Answer:
Yes there would be a positive correlation on a graph.
Step-by-step explanation:
Say we use 0 as our X value. We get 4 as our Y value. Another example we can use is 10. We get 34 as our Y intercept.
Multi step equations that equal 17 with fractions
Answer:
7/1 - 7/1 + 17/1 = 17
Step-by-step explanation:
The solution to the equation (x/6 - 4 + 2/3) = -1/2, using the LCD or clearing method, is x =17 by solving multistep equations that equal 17 with fractions
To solve this equation, use the LCD (Least Common Denominator) method to eliminate the fractions.
The LCD in this case is 6, as it is the smallest number that both 6 and 3 (the denominators of the fractions) can evenly divide.
Step 1: Multiply every term in the equation by 6 to clear the fractions:
[tex]6 \times (x/6 - 4 + 2/3) = 6 \times(-1/2)[/tex]
Simplifying the equation:
[tex]x - 24 + 4 = -3[/tex]
Step 2: Combine like terms on the left side:
[tex]x - 20 = -3[/tex]
Step 3: Isolate the x variable by adding 20 to both sides of the equation:
[tex]x - 20 + 20 = -3 + 20[/tex]
Simplifying further:
x = 17
Therefore, the solution to the equation [tex](x/6 - 4 + 2/3) = -1/2[/tex] is [tex]x = 17[/tex].
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Question: Solve the multistep equations (x/6-4+2/3)=-1/2 that equal 17 with fractions using LCD or Clearing method.
find the missing value y=-2+4
Answer:
y = 2
Step-by-step explanation:
order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest
Answer:
2^9=512
5.9*10^2=590
9^3=729
5^4=625
6.81*10=68.1
6.81 × 10¹, 2⁹, 5.9 × 10², 5⁴, 9³
the slopes of a quadrilateral are -1/2, 3/2, -1/2, and 3/2. What conclusion about this shape cam be made.
The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).
Recall:
The slopes of the opposite sides of a parallelogram are always parallel.When two lines have a slope that is equal, the lines are said to be parallel to each other.The slopes given shows are:
-1/2, 3/2, -1/2, and 3/2
This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.
Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).Learn more about parallelogram on:
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what is 4(2x+3) simplified using distributive property
Answer:
8x +12
Step-by-step explanation:
The outside factor is applied to each term inside parentheses:
4(2x +3) = 4(2x) +4(3) = 8x +12
[tex]\huge\boxed{Hi\:there!}[/tex]
To simplify this expression, we should use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's use it:
4(2x+3)
8x+12
That's the answer.
[tex]\huge\boxed{\boxed{\boxed{Hope\:it\:helps!}}}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
The Williams merch team earned 8,000 on mask sales and will earn 4 for each T-shirt they sell. Their goal is to earn 12,000 on today’s sales. Write an inequality to determine the number, t, of t-shirts the merch team could sell to earn their goal.
Answer:
[tex]12,000\geq 4t+8,000[/tex]
Step-by-step explanation:
What is the equivalent expression for 4(x + 5)
Who ever can answer these three questions first I will give them a brainliest! Or two
Need help ASAP. Heeellllppppp ppplllllsss!!!
5. 6. And 7.
Answer:
mathemiatical porbs is is it itroon poickg niucer g tnt g hayabusa sanjo karaneteooo break the code
Step-by-step explanation:
Colton wants to buy a trampoline in 2 months the trampoline costs $228,
if he saves each month how much will he have to save each month?
Answer:
114 each month
Step-by-step explanation:
Answer:
114
Step-by-step explanation:
228 divided by 2 = 114
