Answer:
2488.80 divided by 3=838.1
Write the equation of the line with a slope of 10 that goes through the point (8. -2) in Slope-Intercept and Point-Slope Form.
Slope-Intercept Form:
Answer:
Slope-Intercept: y = 10x - 82 Point Slope form: y + 2= 10(x - 8)
Step-by-step explanation:
To create a Slope-Intercept form, you need to first find the y-intercept. To do that, you need to plug in the coordinates in the eqaution so far, y = 10x +b.
y = 10x +b.
-2 = 10(8) + b
-2 = 80 + b
-82 = b
y = 10x - 82
Point Slope form: y + 2= 10(x - 8)
Dave buys a goat and sheep for a total price of £120 as is surprised to find that the goat was twice the price of the sheep..
He made twice as much profit on the sheep as he did on the goat having sold both for a combined price of £180.
What is the percentage profit on the sheep?
Answer:
Let's define:
G = cost of a goat
S = cost of a sheep.
We know that the total cost for a goat and a sheep is £120, then:
S + G = £120
And the cost of the goat is twice the price of the sheep, then:
G = 2*S
To solve this system, we can just replace the second equation into the first one, then we get:
S + (2*S) = £120
3*S = £120
S = £120/3 = £40
This means that each sheep costs £40
And the cost of a goat is:
G = 2* £40 = £80.
Now we know that he sold both of them, where:
s = price of the sheep
g = price of the goat.
We know that he sold both of them for £180, then:
s + g = £180
And the profit of the sheep is twice the profit of the goat, then:
(s - S) = 2*(g - G)
(s - £40) = 2*(g - £80)
s - £40 = 2*g - £160
Then we have a system of equations:
s + g = £180
s - £40 = 2*g - £160
To solve this, we first could isolate g in the first equation:
g = £180 - s
Replacing this in the other equation we get:
s - £40 = 2*( £180 - s) - £160
s - £40 = £360 - 2*s - £160
s - £40 = £200 - 2*s
s + 2*s = £200 - £40 = £160
3*s = £160
s = £160/3 = £53.33
Then the percentage profit for the sheep is:
percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%
Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.
please help me this is all my grade!!!!
Correct answer pleaseeeee
A financial analyst constructs a statistical model to represent the market shares of several similar companies.She then collects data over the next month to evaluate her model.At the end of the month,she finds that for one of the companies,the difference between her model and the data is 5%.
She decides to collect dats for an additional two months. If her model is valid,what could she except from the total data collected after three months?
A.)The difference between the data and the model will get larger.
B.)it is important to predict how the difference between the data and the model will change.
C.)The difference between the data and the model will get smaller
D.) The difference between the data and the model will stay the same
Answer:
D
Step-by-step explanation:
The difference between the percentage of the data and the model will stay the same.
Answer:
will get smaller.
Step-by-step explanation:
help me pls not too much!!
Find a third degree polynomial function f(x) with real coefficients that has -3 and i as zeros and such that f(1)=8
In the given situation the required third-degree polynomial will be C(x + 3)(x2 + 1) = 8.
What is a polynomial?The only operations used in a polynomial are addition, subtraction, multiplication, and non-negative integer exponentiation.
In mathematics, variables are occasionally referred to as indeterminates.
An example of a polynomial with a single variable x is x2 4x + 7.
When "a" is not equal to zero, a third-degree polynomial has the form p(x) = ax3 + bx2 + cx + d.
Given that it has degree 3, it is also known as a cubic polynomial.
Example: As the expression's highest degree or the power of the leading term is 3, 5x3 + 2x2 + 3x + 7 is a cubic polynomial or third-degree polynomial.
Using the formula f(x) = 8, get C as follows:
C(x + 3)(x2 + 1) = 8
Therefore, in the given situation the required third-degree polynomial will be C(x + 3)(x2 + 1) = 8.
Know more about polynomials here:
https://brainly.com/question/2833285
#SPJ1
Mary bought a circular rug for the living room. The rug has a radius of 16 feet. Which measurement is closest to the circumference of the rug in feet?
Helpp pleaseeeee and could u put an explanation of how you did it?
Answer: Option A
Step-by-step explanation:
To get from A to A', what is done?
A is at the point (2,6) and A' is at the point (2,-1)
The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)
Now let us take a look at options A and B which both concern the y value
The y-value of A is 6 and A' is -1
To get from 6 to -1, do you
a) subtract 7
or b) = multiply by -1
Let us test it out:
a) 6 - 7 = -1 (yes, it equals -1)
b) 6 * -1 = -6 (no, it does not equal the intended value of -1)
Thus correct choice is A, we subtract 7
Can someone help me with this?
Answer:
I think it's y= +10
not sure tho :))
The coordinates of the point A are (3,−10) and the coordinates of point B are (3,−6). What is the distance, in units, between the point A and point B ?
Answer:
squareroot 54
Step-by-step explanation:
What is the other factor of this equation
Answer:
(3x+5)
Step-by-step explanation:
..............
What's the greatest common factor of 30 and 15 and 60
Sam is making a delivery to a store. The total trip will be 410 miles. He is driving at a constant rate of 65 miles per hour. He has already driven 20 miles. How much longer will it take him to get to the store?
Answer:
6 hours
Step-by-step explanation:
20 + 65x=410
65x=390
x=6
I WILL MARK THE BRAINLIEST!!! Can I please get some additional help on #6?
Answer:
56 units
Step-by-step explanation:
(2/3)*84 = 56
A ferris wheel can accommodate 50 people in 15 minutes. How many people could ride the ferris wheel in 3 hours?
Answer:
this is how you solve it
Step-by-step explanation:
so how many times can 15 fit in 1 hour
4 times right?
15 x 4 = 60
theres 3 hours
60 x 3 = 120!
120 is ur answer
hope this helps
have a great day
stay safe
help i don't know what to do and im tired
Answer:
1. Shade 7 boxes in.
If 100% is 400 each 10% segment would be 40 and in order to get 70% (or 280) we shade in 7 boxes.
2. The football team scored 280 points. We get this number by multiplying .70 by 400
3. Marcy would spend more money.
To do this problem we multiply the percent by how much they have to get how much they spend.
Stephenson: 12% of 200$
.12 x 200 = 24$
Marcy: 8% of 350$
.08 x 350 = 28$
through: (-3,5) parallel: y=-8/3x
Answer:
y = -3/8x + 31/8
Step-by-step explanation:
y=-8/3x slope: -3/8
parallel: (y-5) / (x-(-3))= -3/8
-3*(x+3)=8*(y-5)
-3x-9=8y-40
8y = -3x +31
y = -3/8x + 31/8
plz help me with these questions tomorrow is my exam and i need to practice them
Answer:
good luck !!!!!!!
hope this help for you !!!!!
I need help with this
9514 1404 393
Answer:
pyramidprismprismpyramidprismStep-by-step explanation:
A triangular prism will have exactly 2 triangular sides (bases).
A triangular pyramid will have at least 3 triangular faces.
Count the triangles and classify accordingly.
Left to right, the number of triangles is ...
4, 2, 2, 4, 2
The figures with 4 triangles are pyramids; the others are triangular prisms.
What is the solution for 3x −15 = −15 + 3x
Answer:
76
Step-by-step explanation:
add
the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height
Answer:
6 cm
Step-by-step explanation:
convert 5 km into millimeters
Answer:
5000000mm
im smart
Answer:
5,000,000mm
Step-by-step explanation:
1km = 1000m
1 m = 100cm
1cm = 10 mm
5km = 5000m
5000m = 500,000cm
500,000cm = 5,000,000mm
what is the measure of <7?
Answer:
72°
Step-by-step explanation:
→ Recall how many degrees are within an interior angle
180
→ Minus the angle from 180
180 - 108 = 72°
12 Units to the right of zero on a number line
Answer:
12
Step-by-step explanation:
0 + 12 = 12
Answer:
12
Step-by-step explanation:
the 2 numbers 12 units away from 0 are 12 and -12
since it's to the right of 0, it's positive
4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib
Answer:
2/7
Step-by-step explanation:
There are 7 days in a week, and 2 days start with the letter T.
Find each unknown side length of the triangle. (Enter your answers in simplified radical form as Xsqrt(Y) .) the traingle hypothenus is 12 and it is a 45,45,90 triangle
Answer:
[tex]x = 6\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]H = 12[/tex] --Hypotenuse
Required
Calculate the unknown side length s
In a 45, 45, 90 triangle, the other side lengths are equal i.e.
Opposite = Adjacent.
Represent these side lengths with x.
Using Pythagoras theorem, we have:
[tex]Adj^2 + Opp^2 = Hyp^2[/tex]
[tex]x^2 + x^2 = 12^2[/tex]
[tex]2x^2 = 144[/tex]
Divide both sides by 2
[tex]x^2 = 72[/tex]
Take square roots of both sides
[tex]x = \sqrt{72[/tex]
Expand
[tex]x = \sqrt{36} * \sqrt{2}[/tex]
[tex]x = 6 * \sqrt{2}[/tex]
[tex]x = 6\sqrt{2}[/tex]
Hence, the other side lengths are: [tex]6\sqrt{2}[/tex]
what is the value of x 21 21 34
Answer:
76
Step-by-step explanation:
If you make $400 a week for exactly 2 months how much do you have?
Answer:
$3200
Step-by-step explanation:
how much simple interest is earned on 3,500 in 3 1/2 years interest rate of 1.5%
Answer:
Loan amount
3,000
$
Interest
1.5
%
Payment
45
$
/
per year
Step-by-step explanation:
I need help please ??
Answer:
a. 2(4*8 + 8*6 + 4*6)
2(32+48+24)
2(104)
208 in^2
b. 4*8*6 = 192 in^3