Answer: 819,000
Step-by-step explanation:
182000×9=1638000÷2=819000
Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
What do we mean by the worth of an object?The worth of an object is the price of that object currently. The worth of almost every object in this world is variable (not fixed) with time and use.
How do we solve the given question?In the question, we are said that ten years ago, Lisa bought a hair salon for $182,000. Her business is now worth nine times what she paid.
∴ Worth of the business 10 years ago = $182,000.
Worth of the business now = 9*$182,000 = $1,638,000
We have been informed that Lisa has decided to sell half of her business to a friend. We are asked to find the amount her friend needs to pay, to become her partner.
As we have been told, she is selling half of her business, her friend will need to pay half of her business' worth at the present date.
∴ Her friend pays the amount = 1/2 * worth of the business now
or, Her friend pays the amount = 1/2 * $1,638,000
or, Her friend pays the amount = $819,000.
∴ Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
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10c - cd + d (if c= -6 and d = 2)
Answer:
74
Step-by-step explanation:
Substitute the values of the variables into the equation. Good luck on your math journey!
What is the equation of a line that
is parallel to the line y = 2x + 7 and
passes through the point (-2, 4)?
A y=- 2x+3
y = 2x + 4
c
y=-3x-2
Dy = 2x + 8
B
a
A
b
B
Answer:
B. y = 2x + 4
Step-by-step explanation:
Parallel lines will share the same slope: therefore, A and C are out ( they are the negative reciprocals of the equation's slope. The y-value from the point given is 4, meaning the y-intercept for the equation of the parallel line has to be 4 to match the criteria given in the question. So the answer is B.
We want to get a line parallel to y = 2x + 7 that passes through the point (-2, 4). We will see that the correct option is D.
Parallel lines
We define general linear equations as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that two lines are parallel if and only if they have the same slope and different y-intercept.
So if we want to have a line parallel to y = 2*x + 7, then our line must also have a slope equal to 2, so we have:
y = 2*x + b
To find the value of b we use the fact that the line passes through (-2, 4), replacing the values of the point in the equation we get:
4 = 2*(-2) + b
4 = -4 + b
4 + 4 = b
8 = b
Then the equation for our line is:
y = 2*x + 8
Then the correct option is D.
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Michael has 20 table tennis balls and 16 table tennis paddles. He wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell with no leftover balls or paddles?
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2,-2) and (0,7).
Answer:
[tex]d = 9.2[/tex]
Step-by-step explanation:
Given
Points: (-2,-2) and (0,7)
Required
Determine the distance between them.
Distance is calculated as thus:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Where:
[tex](x_1,y_1) = (-2,-2)[/tex]
[tex](x_2,y_2) = (0,7)[/tex]
So, we have:
[tex]d = \sqrt{(0 - (-2))^2 + (7 - (-2))^2}[/tex]
[tex]d = \sqrt{(0 +2)^2 + (7 +2)^2}[/tex]
[tex]d = \sqrt{2^2 + 9^2}[/tex]
[tex]d = \sqrt{4 + 81}[/tex]
[tex]d = \sqrt{85}[/tex]
[tex]d = 9.2[/tex] --- Approximated
IS THE FRACTION 37/8 A RATIONAL NUMBER AND WHY
Option A)
Yes, Fraction 37/8 is a rational number because the decimal form of the number is terminal.
.
A Rational Number is any number that can be expressed as a fraction or ratio of two integers.
For example, 3/4, 8.75, 2, and -6 are all considered rational numbers.
Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.
For example, 2 can be rewritten as 2/1, or 200/100. -6 can be rewritten as -6/1, 6/-1, or -12/2.
Many non-integer, or decimal numbers, are also rational numbers.
For instance, 8.75 can be rewritten as 8 3/4, 875/100, or 1750/200. This also includes repeating decimal numbers like 0.3333333..., which can be rewritten as 1/3.
Fraction = 37 /8
Numerator = 37
Denominator = 8
Both are integer
The fraction of 37 divided by 8 = 37/8 is a Rational Number because both the numerator and denominator are integers.
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Someone plz help me
Answer:
The first order.
Step-by-step explanation:
What do these symbols mean?
The funny shaped line is a square root, meaning what times itself (so for example, 3 x 3) gets that number. So the square root of 9=3.
The small 2 in the top right of the big numbers means square. The opposite. This means multiply that big number by itself twice. If the small number was say, 7, you would multiply the big number by itself 7 times. A common mistake is propel multiply the big number by the small number. The square used in these is 2 to the power of 3, the small number. This means you do 2x2x2, as the small 3 determines how many time you multiply the big number, 2. The result of 2x2x2=8.
The fraction is 11/9. The 9 means how many parts are in a whole number. The 11 means how many of those parts you actually have. Like a pizza-if you had a pizza (the whole) split into 7 parts, 7 would be your bottom number (as the 9 is here). If you are 4 parts and were left with 3 parts, 3 would be your top number (as the 11 is here). Seeing as 11 is bigger than 9, you have to imagine 2 pizzas. Each is split into 9, and you have 11 parts altogether. Thsi is 1 whole pizza and 2 extra parts, making the fraction 1 and 2/9. This is jaut another way to write 11/9 but I find it easier to look at.
The answer?
So. We have established that 11/9 = 1 & 2/9
And that 2 cubed (with the small 3 on it) = 8.
Amd the square roots of 5, 11 and 20 are approximately (Not exactly, but close enough) the following:
5. 2.2
11. 3.3
20. 4.4
So this leaves us a bunch of numbers to put in order from smallest to largest. This is fairly easy. It's not the second one. 8>3.3. It's not the third one. 8>2.2. It's not the fourth one. 1 & 2/9 may be smaller than 8, but 2.2 isn't. So this leaves the first order.
*Note that the symbol > means greater than or bigger than. So 8>2 means 8,is bigger than 2.
1. What are the opposite and absolute value of: a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____
Opposite value would be either changing from a positive to a negative or from a negative to a positive.
Absolute value is always a positive value
A) 7.2, -7.2, 7.2
B) -3.5, 3.5, 3.5
C) 5 1/2, -5 1/2, 5 1/2
Answer:
-7.2 7.2
3.5 3.5
-5 1/2 5 1/2
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x² + 14x + 40
O AX-9
O B. 32 + 10
O C. X* 14
D. X+4.
Answer:
D. x + 4Step-by-step explanation:
Let's factor the trinomial:
x² + 14x + 40 = x² + 4x + 10x + 40 = x(x + 4) + 10(x + 4) = (x + 4)(x + 10)x + 4 is between the answer options
Correct option is D.
what is the area of the arrow shown?
what arrow i do not see any picture
Answer:
80 in
Step-by-step explanation:
WILL GIVE BRAINLIEST!! What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
a
The slope is Negative four-thirds, and the y-intercept is 4.
b
The slope is Negative four-thirds, and the y-intercept is 3.
c
The slope is Negative three-fourths, and the y-intercept is 4.
d
The slope is Negative three-fourths, and the y-intercept is 3.
Answer:
its d
Step-by-step explanation:
y=-3/4+3 I think that's right
Answer:
D- i think because it wouldn't be 4/3 because you cant go over 4 and up three and the y-intrecept is 3
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An app developer projects that he will earn $20.00 for every 8 apps downloaded. Write
an equation to represent the proportional relationship between the number of apps and the total earnings
y = 2.5x
I hope this helps
The required equation is y=2.5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Earning of app developer for 8 apps = $20.00
Earning of app developer for 1 app = $2.5
Earning of app developer for x app = $2.5x
Assume, earning of app developer for x app is y
So the equation,
Earning of app developer y=2.5x
The required equation is y=2.5x.
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f(x) = x^3 translate 3 units left translate 1 unit down
Answer:
the function would look like: f(x)=(x³+3)-1
the graph would literally look like the cubic parent graph, just shifted 3 left and 1 down
plese help im in 2nd grade and this is really hard all the kids in my class know it but me
Answer:
This isn't in second gradee- x-x
Step-by-step explanation:
Answer: For x such that 0<x<(pie/2), the expression:
[square-root(1-cos^2(x)]/sinx + [square-root(1-sin^2(x)]/cos(x)
is equivalent to,
F. 0
G. 1
H. 2
J. -tan(x)
K. sin2x
The answer is H.
Step-by-step explanation:
Explain what this student is doing to go from x^2−6x−3= 0 to (x−3)^2 =12
The student is solving the quadratic equation by completing the square.
Put is in order least to greatest. -13/6, -2.1, -26/13, -9/4
Answer:
-9/4, -13/6,-2.1,-26/13
Answer:
-26/13, -13/6, -2.1, -9/4
Step-by-step explanation:
Sorry its from greatest to least
HELPPP PLEASE!!!!! SHOW ALL WORK!!!
Answer:
22
Step-by-step explanation:
2x+12=x+34
2x-x=34-12
x=22
2. Describe the process used to solve an equation with variables on both sides.
Answer:
After simplifying, the first step in solving an equation with a variable on both sides is to Get The Variable On One Side. This is done by reversing the addition or subtraction of one of the terms with the variable. In other words, we must add to both sides or subtract from both sides one of the quantities that contains the variable. It is generally easier to add or to subtract the smaller quantity from the larger quantity, so we are working with positive coefficients, but either way works
The volume V of a pyramid is given by the formula V = Bh where B is the area of the base and h is the height
v = 216 cm
B - 36 cm
a. Solve the formula for h
b. Find the height of the pyramid
The height is
centimeters
Answer:
A. V/B=H B. The height, h, is 6 cm.
Step-by-step explanation:
A. Rearrange the formula V=Bh by dividing both sides by B to isolate h.
B. Plug in the Volume and Base into your rearranged formula to find the height. 216/36= h. h=6
a. The formula for height is h = V/B.
b. The height of the pyramid is 6 centimetres.
What is the total surface area of a given pyramid ?The total surface area of a pyramid is the surface area of the triangular sides in addition to the surface area of the triangular base.
According to the given question we have the volume of the pyramid which is 216 cm³ and base is also given which is 36 cm.
Given V = Bh
∴ h = V/B.
h = 216/36
h = 6 cm.
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what value of x will make the given triangles congruent?
Answer:
2
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
The hypotenuse of each of the triangles have to be equal
7x -5 = 4x+25
Subtract 4x from each side
7x -4x-5 = 4x+25-4x
3x -5 = 25
Add 5 to each side
3x-5+5 = 25+5
3x= 30
Divide by 3
3x/3 = 30/3
x = 10
A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.
Answer:
The width is 3 ft
The length is 12 ft
Step-by-step explanation:
Let w = width
l = 4w
A = l*w
Replace length with 4w
A = 4w*w
36 = 4 w^2
Divide each side by 4
36/4 = 4w^2/4
9 = w^2
Take the square root of each side
sqrt(9) = sqrt(w)
3 =w
The width is 3 ft
The length is 4*3 = 12 ft
Find two consecutive whole numbers that 63 lies between.
Answer:
They are 62 and 64.
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make pillows and 3 yards to make curtains how much fabric is remaining
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
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Stonebridge neighborhood garage sale have the cash receipts for 5 days:
$136.97
$256.21
$366.10
$176.04
$72.49
Answer:
$1,007.81
Step-by-step explanation:
you borrow $5,860 from a bank you will have monthly payments of $205.10 for 3 years what percent will you pay back in interest over the entire period of the loan
Answer:
26%
Step-by-step explanation:
Your 36 monthly payments will total ...
36 × $205.10 = $7383.60
$5860 of that is the amount you borrowed. The remainder is the interest you pay:
$7383.60 -5860 = $1,523.60
As a percentage of the original loan amount this is ...
$1523.60/$5860 × 100% = 26%
You pay back 26% of the original loan amount in interest.
Select the correct answer.
Which statement is true about the y-intercept of a quadratic function?
ОА.
A quadratic function can only have one y-intercept.
OB.
A quadratic function can have up to two y-intercepts.
O c.
The y-intercept is also called a zero of the function.
OD
The y-intercept is located at the point where the value of y is 0.
Step-by-step explanation:
this is the answer .it is right or not
Do you think it is true that any solution point to the equation y=1/2x+1 is a point on the line? Explain.
It is true..
I don't have an explanation.
In the diagram, $AB,$ $BC,$ $CD,$ $DE,$ $EF,$ $FG,$ $GH,$ and $HK$ all have length $4,$ and all angles are right angles, with the exception of the angles at $D$ and $F.$
If perpendicular $EM$ is drawn from $E$ to $DF$ (a close-up is shown below), and if $x$ is the length of $EM,$ then what is $x^2$?
Please help with hints! - no solutions -
If u give a full solution I will report u :P
Also, trolls just wanting to get the 50 points will be reported!
Thanks for the help in advance :)
Hint: There are some right angles here. What do right angles do in triangles?
Answer:
8
Step-by-step explanation:
Please see the attachment down below.
Hope this helped! :)
A circular race track has a diameter of 120 ft.about how long would one lap of the track be
Answer:
The length of one lap of the track would be about 377 feet
Step-by-step explanation:
The length of any circular path is equal to the circumference of the circular pathThe circumference of a circle C = π d, where d is the lengths of its diameter∵ A circular race track has a diameter of 120 feet
→ That means the length of each lap equal the circumference of the track
∴ The length of one lap = C
∵ The diameter of the track is 120 feet
∴ d = 120 feet
∵ C = πd
∴ C = π(120)
→ Use π = 3.141
∴ C = (3.141)(120)
∴ C = 376.92 feet
→ Round it to the nearest whole number
∴ C ≅ 377 feet
∴ The length of one lap of the track would be about 377 feet
Solve.
(12b^2 - 5)(4b^2 + 4)
Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Calculate how much interest she will pay over the 5 years?
How much will Leah have to pay back in total
Answer:
She will pay $7,500 interest over the 5 years
She will have to pay back $17,500 in total
Step-by-step explanation:
Let us revise the rule of the simple interest
I = Prt and A = P(1 + rt) , where:
A = Total Accrued Amount (principal + interest) P = Principal Amount I = Interest Amount r = Rate of Interest per year in decimalt = Time Period involved in months or years∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
∴ P = 10,000
∴ t = 5
∴ r = 15% = [tex]\frac{15}{100}[/tex] = 0.15
→ Substitute them in the first rule to find the interest
∵ I = 10,000(0.15)(5)
∴ I = 7,500
∴ She will pay $7,500 interest over the 5 years
→ Let us find A
∵ A = 10,000(1 + 0.15×5)
∴ A = 17,500
∴ She will have to pay back $17,500 in total
