Answer
MPG= 30 4/5 or 30.8 is I think is the answer.
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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c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.
Answer:
steps below
Step-by-step explanation:
h = 5t² + 8t + 3
5t² + 8t + (3-h) = 0
** ax²+bx+c=0 x= (-b±√b²-4ac)/2a
[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex] ..... h≥3 to make t≥0
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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Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. How many feet tall must the slio be? Use 3.14 for Pi.
Answer:
15.03m
Step-by-step explanation:
h=V/πr2
h=1700/π·62
h≈15.0313
Hope that helps
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:
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:
A karaoke marked at ₽3,750 was sold for ₽3,225. What was the rate of discount?
Answer:
Step-by-step explanation:
14% increase
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]
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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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
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.
Please solve this problem please ASAP !
Answer:
3/x+2 = 4/y
then y equals
3y = 4(x+2)
y = 4x + 8 / 3
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]
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
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
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 :)
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:
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.
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:
What is the equivalent expression for 4(x + 5)
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.
7. Given: 21 and 22 are supplementary.
Prove: l / m
What is the missing plece of information in the paragraph proof?
Proof: It is given that 21 and 22 are supplementary. 21 and 23 are also supplementary, so
Since 22 and 23. are corresponding angles, l I m.
3
m
The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
What is the Corresponding Angles Theorem?The corresponding angles theorem states that the corresponding angles formed congruent to each other when two parallel lines are cut by a transversal.Conversely, when a transversal cuts two straight lines, if the corresponding angles formed are congruent, then the two lines that are cut by the transversal are parallel to each other.
The corresponding angles in the image given are: ∠2 and ∠3.
Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.
In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)
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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:
HELP PLEASE!!!!! THIS IS DUE TODAY!!!!
Answer:
nonlinear
Step-by-step explanation:
it's a parabola
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
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
the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works. which answer is the best interpretation of the number 11 in the equation
Answer: 11 represents the extra amount of money he gets.
Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.
The best interpretation of the number 11 in the equation is that 11 represents the extra amount of money he gets.
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.
Given data the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works.
Now , M=12.5h+11,
On comparing with striaght line equation we can say that the slope is 12.5
So, number 11 in the equation represents the extra amount of money he gets for being present at work.
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Solve for j. 144j2 + 21 = 85
Answer:
2/3
Step-by-step explanation:
I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!
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
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
