We know that:
The ideal selling price is P = $22,000
The price can vary dP = $1,200
let's define p as the variable that represents the possible prices of the car.
We will find that the absolute value equation that represents this is:
|p - $22,000| ≤ $1,200
Now let's see how we get that, using the initial information we can get:
The minimum price can be:
mP = P - dP = $22,000 - $1,200 = $20,800
The maximum price can be:
MP = P + dP = $22,000 + $1,200 = $23,200
Then the range of allowed prices is:
mP ≤ p ≤ MP
$20,800 ≤ p ≤ $23,200
To write this as an absolute value equation, we use the general formula:
Ix - average| ≤ amount that it can vary
Replacing it with our values we get:
|p - P| ≤ dP
|p - $22,000| ≤ $1,200
Concluding, the absolute value equation that we wanted to find is:
|p - $22,000| ≤ $1,200
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what is the value of x in the equation 11+7x=-17
[tex]\\ \rm\Rrightarrow 11+7x=-17[/tex]
[tex]\\ \rm\Rrightarrow 7x=-7-11[/tex]
[tex]\\ \rm\Rrightarrow 7x=-28[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{-28}{7}[/tex]
[tex]\\ \rm\Rrightarrow x=-4[/tex]
Answer: x = -4
Step-by-step explanation:
Given equation
11 + 7x = -17
Subtract 11 on both sides
11 + 7x - 11 = -17 - 11
7x = -28
Divide 7 on both sides
7x / 7 = -28 / 7
[tex]\boxed{x=-4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Integral sin(3x+3)dx
Step-by-step explanation:
steps are in picture above.
Note:if you have any question please let me know.
Which numbers can be divided by 6 with no remainder? Select all that apply. 114 8 18 204 106 221
Answer:
They are: 114, 18, 204.
Question 1
A factory has to transport raw materials to a project site. The total weight of the raw material will not be less than 1,500 tons. The factory manager plans
to use two different trucking firms, Big Red has heavy duty trucks that can transport 200 tons at a cost of $50 per truckload. Common Joe is a more
economical firm, costing only $20 per load, but its trucks can transport only 90 tons. The factory manager does not wish to spend more than $450 on
transportation. The availability of trucks is the same for both firms.
Part A
What inequality will show the number of trucks used to transport the required raw material? Replace the inequality sign with the equal sign. Go to
your math tools and open the Graph tool to graph the resulting equation and paste it into the box below. Describe which part of the graph should
be shaded and whether the line should be dashed or not.
Answer:
simple answer
Step-by-step explanation:
Greg can complete a landscaping job in six days and Jeff can complete the same job in four days. Working together, and how many days could they complete the job?
Answer:
2.4 days
Step-by-step explanation:
they could complete the job in :
(6×4)/(6+4) = 24/10 = 2.4 days
[tex]\\ \rm\longmapsto \dfrac{ab}{a+b}[/tex]
[tex]\\ \rm\longmapsto \dfrac{6(4)}{6+4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{24}{10}[/tex]
[tex]\\ \rm\longmapsto 2.4days[/tex]
If you buy a stock originally valued at 2500 then sell that stock later at $2550 what is the percent of increase in the stock
Answer:
2550-2500 = 50
25% percent increase.
Solve the equation -2x = -3x + 14
Evaluate the expression x² - 3y + 12 for x and y = 5
#1
[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]
[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]
[tex]\\ \sf\Rrightarrow x=14[/tex]
#2
[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]
[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]
[tex]\\ \sf\Rrightarrow 25-15+12[/tex]
[tex]\\ \sf\Rrightarrow 10+12[/tex]
[tex]\\ \sf\Rrightarrow 22[/tex]
identity the value for a, b, and c.
2x^2=-7x-9
The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
Answer:
x = 70
Step-by-step explanation:
The sum of the angle measures of a quadrilateral is 360°
76 + 92 + 122 + x = 360
168 + 122 + x = 360
290 + x = 360
x = 360 - 290
x = 70
You can ever CROSS-CHECK
76 + 92 + 122 + 70
290 + 70
= 360
thus cross-checked
A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x +8. Which expression represents the lenght of the garden?
Answer:
creo que es la respuesta 8× +8=72
Write a variable expression for each of following situations. Use b to represent "a full box of pencils.
a. A full box of pencils with 3 extra pencils.
b. Three full boxs of pencils.
Answer:
a. b + 3 extra pencils
b. 3b
Hope that's correct
You work at McDonalds making $12 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answer:
7$
Step-by-step explanation:
can someone please help me answer this function please?
Answer:
B) [tex]x\geq0[/tex]
Step-by-step explanation:
The domain of the square root function is all real non-negative numbers. In a numerical format that is as follows:
[tex]D(\sqrt{x})={[0,\infty )}[/tex]
This is more commonly denoted as:
[tex]x\geq0[/tex]
In the case of the given function:
[tex]g(x)=\sqrt{8x}[/tex]
The domain is still ([tex]x\geq0[/tex]) as multiplying a value by (8) does not alter this. A negative number times (8) is still negative and thus cannot be a part of the square root domain. Similarly, a positive number times (8) is still positive and remains a part of the square root domain. Moreover, (0) times (8) is still (0).
Let f(x) = -20x^2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state it’s domain.
The wood on the back deck of a house needs waterproofing. The shape of the deck
is a rectangle with the length of 40 feet and a width of 3 yards. A gallon can of
waterproof stain covers 50 square feet and costs $19.99 per can plus 8% sales tax.
You go to the hardware store to purchase the waterproof stain needed to complete
the job. You give the cashier $150. How much change do you receive, or how much
additional cash must you find in order to be able to pay for all of the stain you need?
You must show all calculations.
Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.
Dimensions of a rectangular deck = [tex]40[/tex] feet by [tex]3[/tex] yards
Width of the deck is in yards, so convert it into feet.
Since, [tex]\frac{1}{3}[/tex] yards = 1 foot
Therefore, 1 yard = [tex]3[/tex] feet
And [tex]3[/tex] yards = [tex]3\times 3[/tex] feet
= [tex]9[/tex] feet
Therefore, dimensions of the rectangular deck = [tex]40[/tex] feet by [tex]9[/tex] feet
Area of the deck = Length × Width
= [tex]40\times 9[/tex]
= [tex]360[/tex] square feet
∵ [tex]50[/tex] square feet of deck is stained by number of cans = 1
∴ 1 square feet will be stained by number of cans = [tex]\frac{1}{50}[/tex]
∴ [tex]360[/tex] square feet will be stained by cans = [tex]\frac{360}{50}[/tex] = [tex]7.2[/tex]
We can not purchase can in fractions or parts.
Therefore, number of cans to be purchased = [tex]8[/tex]
Cost of waterproof stain per can = $[tex]19.99[/tex] plus [tex]8[/tex]% sales tax
Therefore, actual cost of 1 can to be paid for the waterproof stain
= [tex](19.99 + 19.99\times \frac{8}{100})[/tex]
= [tex]19.99+1.5992[/tex]
= $[tex]21.5892[/tex]
Cost of [tex]8[/tex] cans = [tex]21.5892\times 8[/tex]
= $[tex]172.71[/tex]
I have paid $[tex]150[/tex] to the cashier.
Therefore, additional money to be paid = [tex]172.71-150[/tex]
= $[tex]22.71[/tex]
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Andres is on the tennis team. Last year he bought 7 tubes of tennis balls. The year before he bought k tubes. Each tube holds three balls.
a. Write an expression using parentheses to describe how many tennis balls Andres bought in the last two years.
b. Given that k=6, evaluate your expression using the distributive property.
Answer:
A. 7(3) + 3k = total amount of tennis balls bought in 2 years
B. 39 tennis balls
Step-by-step explanation:
B. 7(3) + 3(6)
21 + 18 = 39 tennis balls
Please help!
Please do not just give the answer, also explain please because I need to know how to do this.
Find the value of X
Answer:
x = 6.5
Step-by-step explanation:
In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).
Sin = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent. So, our equation would look like this:
tan (57)° = 10/x
Multiply both sides by x
x (tan (57)°) = 10
Divide both sides by tan (57)°
10 / tan (57)° = 6.49408 = 6.5
Step-by-step explanation:
We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can
Remeber that triangles interior angles add up to 180.
Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so
[tex]90 + 57 + x = 180[/tex]
[tex]x = 33[/tex]
So the angle opposite of the side we are trying to find is 33.
Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines
[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]
where the numerator are the side measures, and the denominator are the angle measures.
Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.
[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]
Multiply both sides by sin 33 to isolate x.
We get
[tex]x = 6.494[/tex]
Round if needed
In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.
Can someone help me please I don’t get this (due today)
Sure, I will help you.
25. Measure of MP=152 degrees.
26. Measure of QNL=208 degrees.
27. Measure of WT=155 degrees.
28. Measure of WTV=205 degrees.
I believe that these answers are correct, but if not, please let me know. If you have any questions, feel free to ask.
In order to go in the field trip you must accuse 75 positive behavior points you found out that you have 45% of the points necessary to go how many points do you have
Answer:
33.75
Step-by-step explanation:
1. figure out equation - 45% of 75.
2. 45% = 45/100 = 45 ÷ 100
3. 45/100 /75
uincy feeds his dog 2.75 cups of dog food each day. Each cup of dog food costs $1.25. He multiplies the numbers together to determine how much it costs to feed his dog each day. Which expression will result in the best estimate for Quincy to use to check his multiplication?
[tex]\sqrt{9x^2[/tex]
Answer:
3x
Step-by-step explanation:
[tex] \sqrt{9 {x}^{2} } [/tex]
[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]
[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]
[tex] \sqrt{ {3}^{2} } x[/tex]
[tex] = 3x[/tex]
. If 26039 apples aré shared equally among 13 boys. How many does each boy receive?
Answer:
2003 apples for each boy
Answer:
26o39÷3 =2,003
therefore; each boy gets 2,003 apples
1. When adding two integers, what will the sign of the sum be if: c. one integer is positive and one integer is negative?
Answer:
Step-by-step explanation:
The largest absolute value gets the sign.
To use an example
4 - 8
Think money for a moment. You have 4 dollars in your pocket. You owe your mother 8 dollars. Where are you?
You should think you are 4 dollars in debt. That being the case, the sign of the answer is minus.
4 - 8 = -4 Eight is the largest number if its absolute value is taken. Absolute value means you turn it positive and subtract.
Suppose the question is
-9 + 5 Again money. You have 5 dollars in your pocket, but this time you owe mom 9 dollars
She wants her -4 dollars right now.
y = 3 • 5x
what is the domain and the range
giải phương trình nghiệm nguyên x^2 - 3y^2 +2xy -2x - 10y +4 =0
can image 2 be the reflected figure
Answer:
Is there supposed to be a picture?
Step-by-step explanation:
Answer:
we need the image
Step-by-step explanation:
A design for a banner includes a striped background. The stripes are colored in the repeating order: yellow, blue, orange, green, and purple. What calor is the 37th stripe?
Answer:
purple.orang.blue.yellow and green
purple.orang.blue.yellow and green
Berny bought a soft drink for 2 dollars
and 6 candy bars. He spent a total of
20 dollars. How much did each candy bar cost
bar cost?
Answer:
3
Step-by-step explanation:
Given:
Berny spent 20 dollars total
He spent 2 dollars on a soft drink
He bought 6 candy bars
Solution:
Amount spent on candy bars = total amount spent - amount spent on soft drink.
Amount spent on candy bars = 20 - 2 = 18
Cost of each candy bar = total amount spent on candy bars / # of candy bars bought
Cost of each candy bar = 18/6 = 3
Answer: Each candy bar costs $3
Step-by-step explanation:
Set variables
Soft drink = $2
Candy bars = $6x
Let x be the cost for each candy bar.Total cost = $20
Set equation
2 + 6x = 20
Subtract 2 on both sides
2 + 6x - 2 = 20 - 2
6x = 18
Divide 6 on both sides
6x / 6 = 18 / 6
x = 3
Hope this helps!! :)
Please let me know if you have any questions
Please help me find the value of “ find the value m
Answer:
Add those angles together. PQT is the sum of the angles PQS and SQT
3x+13+6x-2
add like terms
9x-11
angle PQT is equal to 9x-11.
Step-by-step explanation:
The total of the ages of rachel’s siblings if she has one sibling that is 3 years younger and three siblings that are 2,4, and 5 years older. translate the word problem to a math equation
i also need the ans TT.............