At a livestock market, one customer purchased 4 sheep and 2 cows for a total of $1660. Another customer purchased 3 sheep and 5 cows for a total of $2925. Create a system of equations and solve it with substitution or elimination, and find the price of a sheep, and the price of a cow.

Answer:

True/Prove

PLEASE GIVE BRAINLIEST THANK YOU!!!

Answer:

below

Step-by-step explanation:

f(x) = x(x+3)(x+4)     would be one

     = x^3 + 7x^2 + 12x

The equation to represent the function P is y=4x as per the given points in the table.

It is easier to see the slope (m) and y-intercept (c) of a line in the slope-intercept form of a linear equation (y=mx+c).

18th-century Switzerland. The first person to present a line's equation in slope intercept format might have been Jakob Hermann.

Y = mx + c is the true slope intercept form. It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.

You can see the line's slope and y-intercept in Slope-Intercept form. One point the line travels through and the slope of the line are both clearly displayed in point-slope form.

We know that, the equation of the line is y=mx+c

If this line passes through (0,0) then,

0=m(0)+c

then, c=0

Now, substituting the point (1,4) in the above equation and c=0 then we get,

4=m(1)+0

m=4

Now substitute the point (2,8) then,

8=m(2)+0

m=4

Similarly, by substituting the points  (3,12), (4,16), (5,20), (6,24) we get,

m=4

Now, by substituting c=0 and m=4 in the above equation we get,

y=4x+0

y=4x

Therefore, the equation to represent the function P is y=4x

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Answer:
5d≤20

4 kilometers

Step-by-step explanation:

pls mark

The percentage

of the increase in the number of bookmards sold is 40%

To solve this problem, first we have to rewrite the problems into some equations, such:

s = 480 --> represent the last year's sale

s' = 672 --> represent this year's sale

Then, we should define

the increase on the sale

by finding the difference between the last year'ssale and this year's sale.

Δs = s'-s

Δs = 672 - 480

Δs = 192

Then we could get the percentage of increase in sales by dividing the increase in sale with the last year's sales. Hence we could find that:

Δs% = (Δs/s) x 100%

Δs% = [tex]\frac{192}{480}*100%\\[/tex]%

Δs% = 40%

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The pair of polygons that are similar to each other are all the pairs of polygons except the pair of rectangles.

Similar polygons are polygons that have corresponding side lengths that are proportional to each other, thus, they have the same shape by different sizes.

To determine if he given pairs of polygons are similar, check if their corresponding side lengths have the same ratio, that is, if they are proportional to each other.

For the trapezoids:

27/15 = 18/10 = 7.2/4 = 10.8/6 = 1.8

This means the trapezoids are similar.

For the rectangles:

18/10 ≠ 14/7

This means the rectangles are not similar.

For the right triangles:

32/24 = 24/18 = 40/30 = 1.33

This means the right triangles are similar polygons.

So also is the last pair of polygons similar to each other. Therefore, the only polygon that is not similar is the pair of rectangles.

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The area of the given triangle is 10 square units.

We have a triangle. The vertices of the triangle are J (-2, 1), K (0, 3), and L (3,-4). We need to find the area of the triangle. We will use the determinant method to calculate the area of a triangle if the coordinates of the vertices are given. If the vertices of a triangle are (x1, y1), (x2, y2), and (x3, y3), then the formula for the area of the triangle is given below.

A = (1/2)|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

A = (1/2)|-2(3 - (-4)) + 0(-4 - 1) + 3(1 - 3)|

A = (1/2)|-2(3 + 4) + 0(-5) + 3(-2)|

A = (1/2)|-14 + 0 + -6|

A = (1/2)|-20|

A = 10

Hence, the area of the triangle is 10.

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Answer:

I = $ 1,937.50

Step-by-step explanation:

i=prt

18/100=0.18

I=700(0.18)(14)

1,937.50

The maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s

The centripetal force is the force needed to keep a body moving in circular motion. It exists for circular motion. Example - rotation of earth around sun.

We have an athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.

[A] -

Tangential speed of ball = v = rω = 0.9 x 0.27 = 0.243 m/s

[B] -

Centripetal acceleration = a[c] = rω² = 0.9 x 0.27 x  0.27 = 0.06561

[C] -

Maximum tension = Maximum centripetal force = mrω² = 132.3

ω² = 132.3/mr

ω² = 18.60

v² = 18.60r²

v = 3.89 m/s

Therefore, the maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s

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The function notation that represents the value of the television after x years is V(x) = 2100 - 235x

You have just bought a new Sony 55'' 3D television set for $2100. The TV value decreases at a rate of 235 dollars per year.  

The linear function to represent the value of the television after x years can be calculated as follows:

Linear equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, using function notation, the linear function of the situation is as follows:

V(x) = 2100 - 235x

where

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The total sum of money shared is $4800

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b

The ratio of mark to Mary to gabrielle is 3:5:8

this means the total ratio is 16 i.e 3+5+8=16

if the total money is y and the money shared to mark is x, then

3/16× y= x

therefore 3y=16x

y= 16x/3 equation 1

Mary receives 600 more than mark,this means Mary share = 600+x

therefore 5/16×y= 600+x

5y= 16(600+x)

5y= 9600+16x equation 2

substitute 16x/3 for y in equation 2

5×16x/3= 9600+16x

80x/3= 9600+16x

multiply both sides by 3

80x= 3(9600+16x)

80x= 28800+48x

collect like terms

80x-48x= 28800

32x=28800

x= 900

substitute 900 for x in equation 1

y=16×900/3

y= 4800

therefore the total money shared is 4800

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Answer:

Step-by-step explanation:

for plan A,  it's 16.50 per month

she paid 99.00

then the equation is   :

m x 16.50 = 99.00

Now solve for m

m = 99.00 / 16.50

m= 6

so she paid for 6 months

Answer: 2.3x is the answer

Answer:  the answer is 38

Step-by-step explanation:

all you have to do is subtract 51-13 and the answer of that is the asnswer. :)

Answer:

with 12 students 3 fear spiders and other while 1 fear of snake and one of dogs. Some fear of all four

Step-by-step explanation:

hey hon, you were not very specific with what you teacher wanted but this is what i got hope it helps!!!!

Answer: The second one is correct.

The equation of a line perpendicular to y = -3/4x +1 and passes through (12, 9) is y = 4  /3 x - 7

A linear graph can be represented in slope intercept form as follows:

y = mx + b

where

The line passes through the points (12, 9) and its perpendicular to the graph y = -3/4x +1.

The products of the slope of perpendicular lines is equals to negative one.

Therefore,

m₁ m₂ = -1

Hence,

- 3 / 4 m₂ = - 1

cross multiply

-3m₂ = -4

m₂ = 4 / 3

Therefore, let's find the y-intercept of the line using (12, 9)

y = 4 / 3 x + b

9 = 4  /3(12) + b

9 = 16 + b

b = 9 - 16

b = - 7

Therefore, the equation of the line is y = 4  /3 x - 7

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The effective tax rate is 24%  for a taxable income of $75,400

The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate.

the"marginal" income is what is taxed at the next highest tax bracket as moves up in tax brackets, this tax rate is known as the marginal tax rate.

Given that;

Marginal Tax Rate           Chart Tax Bracket

$0 –$10,275                                  10%

$10,276 –$41,175                           12%

$41,176 –$89,075                          22%

$89,076 –$170,050                      24%

$170,051 –$215,950                      32%

$215,951 –$539,900                     35%

> $539,901                                     37%

Thus, the effective tax rate for income of $95, 600 lies in the range of a marginal tax rate of 24%.

So, the effective tax rate;

= 72,026/ 95600

= 24 %

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Answer:

16.27%

Step-by-step explanation:

Hello,

10275 ×  10% = 1027.5

41175 - 10276 = 30899

30899  × 12% = 3707.88

Then we would input 75400 since it fits in to ($41176–$89075)

75400 - 41176 = 34224

34224 × 22% = 7529.28

Then we would add it all up

1027.5 + 3707.88 + 7529.28 = 12264.66

Then to determine the effective tax rate for 75400 we would

 [tex]\frac{12264.66}{75400}[/tex] × 100 = 16.27%

So, the effective tax rate for the taxable income of 75400 is 16.27%.

Answer:

57 half dollars and 169 quarters

Step-by-step explanation:

We will need a system of equations to solve this problem.

Given that the number of quarters is 2 less than three times the number of half dollars, we have Q = 3H - 2

Thus, we have 0.25Q + 0.50H = 70.75 and Q = 3H - 2.

The second equation allows us to use substitution:

[tex]0.25(3H-2)+0.50H=70.75\\0.75H-0.50+0.50H=70.75\\1.25H=71.25\\H=57[/tex]

We can plus this 57 into the second equation to find the number of quarters:

[tex]Q = 3(57)-2\\Q=169[/tex]

Answer:

  94.2 mm

Step-by-step explanation:

You want the circumference of a circle that has a diameter of 30 mm.

The circumference is given by the formula ...

  C = πd . . . . . where d is the diameter

Your circle has a circumference of ...

  C = (3.14)(30 mm) = 94.2 mm

The circumference is 94.2 millimeters.

Step-by-step explanation:

2/3 x 12/17 x 1/4" simplify the expression

"2/3 x 12/17 x 1/4" = 12/102

Answer:

Step-by-step explanation:

look at your bases! do you see how the bases are 3, 17 and 4? All you need to do is find the least common multiple for the numbers, and you will have a base.

If you do that, you get a base of 207.

First, multiply all the fractions top and bottom by 207:

then multiply the top numbers, and leave the bottom the same, to get an answer. Now, simplify.

You should get 2/17 hopefully :)

Using system of equation, we can determine that Kadeesha played 10 games and went on 5 rides.

System of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

Let;

2.50x + 4.75y = 48.75 ...eq(i)

x = 2y ...eq(ii)

Solving equation (i) and (ii)

x = 10, y = 5

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The equations that passes through the points (-4, -16) and (5, 2) are: y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).

To determine if an equation passes through a given point, plug in the values of the x and y coordinates of the point into the equation to see if it would make the equation true. If it is true, then the equation passes through the points.

Alternatively, graph the equation on a coordinate plane to see if it passes through the given point.

The graph shows the equations given.

The red line represents y + 4 = 2(x – 16).

The blue line represents y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).

Therefore, y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4) passes through the points (–4, –16) and (5, 2).

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We get the next term as -15 when the series are 30,27,21,9,_.

Given that,

The terms are 30,27,21,9,_

We have to find the next term.

An arithmetic sequence is a group of words where the common difference between any two subsequent words remains constant. Reviewing what a sequence is will help. A sequence is a group of integers that exhibit a pattern.

Take the terms,

30,27,21,9,_

Take the 1st 2 terms

30-27=3

Next,

27-21=6

Next,

21-9=12

Here, We have 3,6,12

That mean 3+3=6 and 6+6=12

Next is 12+12=24

So,

9-24=-15

Therefore, We get the next term as -15 when the series are 30,27,21,9,_.

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The point where the gradient line intercepts (touches) the y-axis is called y intercept.

The point where the gradient line intercepts (touches) the x-axis is called x intercept.

check the sketch attached.

The probability that the random variable has a value less than 2.7 is 0.337

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

in the given question we have;

a random variable has a value of less than 2.7.

So,

Probability of (less than 2.7)

= area of rectangle starting from 0 to 2.7

 = (2.7 - 0) × 0.125

 = 0.3375

Hence,

The probability that the random variable has a value less than 2.7 is 0.337

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The difference between Prince George's County's population (908,670) and Charles county (159,428) is 749,242.

To find the difference between two values, we use the mathematical operation of subtraction.

Subtraction operation involves the use of the minuend, subtrahend, difference, and equation sign.

The subtrahend is the number deducted from the minuend, to get the difference.

  908,670 ... minuend

-  159,428 ... subtrahend

= 749,242 ... difference

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Answer:

is more than 90 degrees right angles are 90 degrees

The cost that the manager will pay for turkey and cheese is $127.182.

From the information, the manager wants to find the total cost of 24.8 pounds of sliced turkey at $1.89 a pound and 38.2 pounds of provolone cheese at $2.05 a pound.

The total cost will be:

=> Cost for turkey + Cost for cheese

= (24.8 × $1.89) + (38.2 × $2.05)

= $48.872 + $78.31

= 127.182

The cost is $127.182

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Set V is a subset of set Y

A set V is a subset of another set Y if all elements of the set V are elements of the set Y. In other words, the set V is contained inside the set Y. The subset relationship is denoted as V⊂Y.

Set V contain the following numbers {4,2,111,6}

It discovered that all the numbers in set V are there in set Y

set Y contains {44,7,90,42,1,111,6}

Therefore since the element of set V are in set Y , then set V is a subset of of set Y.

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