What is the slope of Y-5=-3(X+2)

Answer:

The student is expected to spend 15.4 hours doing homework

Step-by-step explanation:

The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below

To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)

The equation of a line, given two points (a,b) and (c,d) is

[tex]\displaystyle y-b=\frac{d-b}{c-a}(x-a)[/tex]

Using the selected points

[tex]\displaystyle y-4=\frac{25-4}{4-28}(x-28)[/tex]

Simplifying and computing results, the equation is

[tex]\displaystyle y=-\frac{7}{8}x+\frac{57}{2}[/tex]

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV

[tex]\displaystyle y=-\frac{7}{8}(15)+\frac{57}{2}[/tex]=15.4 hours

So the student is expected to spend 15.4 hours doing homework

You will pay 5% sales tax.

Step-by-step explanation:

Given,

Cost of item = $40

Sales tax = $2

Percent of sales tax = [tex]\frac{Sales\ tax}{Cost\ of\ item}*100[/tex]

[tex]Percent\ of\ sales\ tax=\frac{2}{40}*100\\Percent\ of\ sales\ tax=\frac{200}{40}\\Percent\ of\ sales\ tax=5\%[/tex]

You will pay 5% sales tax.

Keywords: sales tax, division

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Answer:

IT IS ETHER A OR B BROBABLY

Step-by-step explanation:

Answer:

-20/21

Step-by-step explanation:

Answer:

Prime number

Step-by-step explanation:

41 is a prime number.

How to test:

Divide 41 by every whole number from 1 until about it's square root.

√41 is about 6.4, round up to 7.

If any quotient is not a decimal number, 41 is not prime.

41/2 = 20.5

41/3 = 13.7

41/4 = 10.25

41/5 = 8.2

41/6 = 6.8

41/7 = 5.9

These are all decimal numbers.

Step-by-step explanation:

The answer would be A

Answer:

Ariel

Step-by-step explanation:

Ariel is diving which is below the surface of the water

Answer:

ariel

Step-by-step explanation:

Answer:

A. (2 × 6) + (3 × 8) + 6²

72 sq. inches.

B. 9 in. by 8 in.

Step-by-step explanation:

The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.

So, the dimension of the green shape is 6 in. by 6 in.

Therefore, the length of the blue shape is (6 + 2) = 8 in.

Now, given that the area of the blue shape is 24 sq. in.

So, the width of the blue shape is [tex]\frac{24}{8} = 3[/tex] in.

Now, if we consider the total figure, then area of the entire figure = area of the  white shape + area of the green shape + area of the blue shape.

= (2 × 6) + (3 × 8) + 6² (Answer)

= 12 + 24 + 36  

= 72 sq, inches. (Answer)

Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.

Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)

Explanation:

The formula for law of cosines is:

[tex]a^{2} = b^{2} + c^{2} - 2bc(cosA)[/tex]

This is written at the top of your paper.

The angle is substituted where the capital A is. The side opposite to the angle is the angle name's lowercase. The two other sides are b and c.

Substitute all the information you know, then isolate the variable that you do not know.

When your formula is rearranged to look like this:

[tex]\frac{a^{2} - b^{2} - c^{2}}{- 2bc} = (cosA)[/tex]

Solve the left side and punch into your calculator:

cos⁻¹(left side) to find the angle A.

Answer:

Cut it in half so that the two pieces are each 7 in by 4 in.

z = 37°

Step-by-step explanation:

The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle

In this case the sum of z and z+4 will be equal to z+41

Writing mathematically

[tex]z + z+ 4 = z + 41\\2z+4 = z + 41\\2z -z = 41 -4\\z = 37[/tex]

Hence

z = 37°

Keywords: Angles, Triangles

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Answer:

the answer is A

Step-by-step explanation:

1.35 divided by 3 = 0.45

0.45 multiplyed by 8 = $3.60

Answer:

a(1) = 8, a(n + 1) = a(n) + 5

Checking this:

a(2) = a(1) + 5 = 8 + 5 = 13

a(3) = a(2) + 5 = 13 + 5 = 18

a(4) = a(3) + 5 = 18 + 5 = 23

a(5) = a(4) + 5 = 23 + 5 = 28

Answer:

Kelan gets 135 Euros.

Step-by-step explanation:

First of all you add up the ratio getting 10, with 10 you divide it from 450 getting 45. Then you multiply 3 (Kelan's Part) by 45 getting your answer. Tell me if this helped, i'd appreciate knowing.

This question is based on simple mathematics. Therefore, the answer is £135.

Given:

Harry, regan and kelan share £450 in the ratio 2 : 5 : 3.

We have to determined the money would kelan get.

According to questions,

First of all, adding  up the ratios.

We get,

2+5+3 = 10

Regan and kelan share £450. So divided £450  by 10, and solve it further.

We get,

[tex]\dfrac{450}{10} = 45[/tex]

Now, multiplying 45 by 3 (Kelan's part).

We get,

[tex]45\times3= 135[/tex]

Therefore, the money that kelan get is £135.

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Answer:

$4,500

Step-by-step explanation:

4,200e^3(.023)

Answer:

Look the square root up on the internet.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{3}x + 3[/tex]

Step-by-step explanation:

The slope of two parallel straight lines are the same.

Now, the slope of the line [tex]y = \frac{1}{2} x + 8[/tex] is [tex]\frac{1}{2}[/tex] as the straight line equation is in slope-intercept form.

Now, the equation of the straight line in slope-intercept form which is parallel to the above line is [tex]y = \frac{1}{2} x + c[/tex] ............. (1) , where c is any constant.

Now, point (-2,2) is on the line (1) {Given}

So, this point will satisfy the equation.

Hence, [tex]2 = \frac{1}{2} (- 2) + c[/tex]

⇒ c = 3.

Therefore, the equation of the required straight line is [tex]y = \frac{1}{3}x + 3[/tex] (Answer)

Answer:

123

Step-by-step explanation:

135 - 12 = 123

The concession stand made $123

Profit and loss are the terms used to identify whether a deal is profitable or not. We use these terms very often in our daily lives. If the selling price is greater than the cost price, then the difference between the selling price and cost price is called profit. If the selling price is less than the cost price, then the difference between the cost price and the selling price is called loss.

When, in a transaction, the selling price is greater than the cost price, it means we earn a profit.

When, in a transaction, the cost price is greater than the selling price, it means we incur a loss.

Given:

profit on saturday = $135

loss on sunday = $12

So,

the total profit concession stand made= $135 + (-$12)

                                                                = $135 - $12

                                                                = $123

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Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 7) and (x₂, y₂ ) = (4, 6) ← 2 points on the line

m = [tex]\frac{6-7}{4-2}[/tex] = - [tex]\frac{1}{2}[/tex]

Note the line crosses the y- axis at (0, 8) ⇒ c = 8

y = - [tex]\frac{1}{2}[/tex] x + 8 ← equation of line

Answer : The slope of the line and equation of the line is, [tex]\frac{-1}{2}[/tex]  and [tex]y=\frac{-1}{2}x+8[/tex] respectively.

Step-by-step explanation :

The general form for the formation of a linear equation is:

[tex](y-y_1)=m\times (x-x_1)[/tex] .............(1)

where,

x and y are the coordinates of x-axis and y-axis respectively.

m is slope of line.

First we have to calculate the slope of line.

Formula used :

[tex]m=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

Here,

[tex](x_1,y_1)=(2,7)[/tex] and [tex](x_2,y_2)=(4,6)[/tex]

[tex]m=\frac{(6-7)}{4-2)}[/tex]

[tex]m=\frac{-1}{2}[/tex]

Now put the value of slope in equation 1, we get the linear equation.

[tex](y-y_1)=m\times (x-x_1)[/tex]

[tex](y-7)=\frac{-1}{2}\times (x-2)[/tex]

[tex]y-7=\frac{-1}{2}x+1[/tex]

[tex]y=\frac{-1}{2}x+1+7[/tex]

[tex]y=\frac{-1}{2}x+8[/tex]

Thus, the slope of the line and equation of the line is, [tex]\frac{-1}{2}[/tex]  and [tex]y=\frac{-1}{2}x+8[/tex] respectively.

Answer:

(1, -2).

Step-by-step explanation:

y=-4x+2

y=6x-8

Substitute y = 6x - 8 in the first equation

6x - 8 = -4x + 2

10x = 10

x = 1

So y = 6x - 8

= 6(1) - 8

= -2.

The pair should be (1, -2).

The equation is y=-4x+2 and y=6x-8

here we Substitute y = 6x - 8 in the first equation

So,

6x - 8 = -4x + 2

10x = 10

x = 1

Now

y = 6x - 8

= 6(1) - 8

= -2.

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Answer:

Step-by-step explanation:

It's perfectly logical that as the number of hours spent watching TV increases, the grades received on the quizzes drop.  There's a negative correlation between the two variables.

d/dx cos^2(5x^3)

= d/dx [cos(5x^3)]^2

= 2[cos(5x^3)]

= - 2[cos(5x^3)] * sin(5x^3)

= - 2[cos(5x^3)] * sin(5x^3) * 15x^2

= - 30[cos(5x^3)] * sin(5x^3) * x^2

Explanation:

d/dx x^n = nx^(n - 1)

d/dx cos x = - sin x

Chain rule:

d/dx f(g(...w(x))) = f’(g(...w(x))) * g’(...w(x)) * ... * w’(x)

Step-by-step explanation:

f(x) = cos²(5x³)

f(x) = (cos(5x³))²

Use chain rule to find the derivative:

f'(x) = 2 cos(5x³) × -sin(5x³) × 15x²

f'(x) = -30x² sin(5x³) cos(5x³)

If desired, use double angle formula to simplify:

f'(x) = -15x² sin(10x³)

Answer:

Equation: 3x + 2 = 50

# of friends: 16

Step-by-step explanation:

3 chocolates each or 3x because what "each" means is not known yet-

3x

Note: Always use x for an unknown value

2 remaining chocolates-

3x + 2

50 total chocolates-

3x + 2 = 50

Remove two to keep the x alone-

3x = 48

Remove the 3 or the "Coefficient" by dividing-

48/3 = 16

x = 16

Equation: 3x + 2 = 50

# of friends: 16

Answer: 71 hours

Step-by-step explanation:

Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of that and add this to the price.

Solve:

105 • 0.65 = 68.25                      Find 65% of 105

105 + 68.25 = 173.25                  Add the markup to the price

173.25 • 0.20 = 34.65                 Find the discount of the new price

173.25 - 34.65 = 138.60              Subtract discount from price

138.60 • 0.075 = 10.395             Find sales tax of new price (Or round to 10.40)

138.60 + 10.395 = 148.995         Add sales tax to new price (Or 149)

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

♥A.W.E.S.W.A.N.♥

Answer:

B $149.00

Step-by-step explanation:

105 * 1.65 =   173.25      (100%+ 65%)    Price with the markup            

173.25 *0.80  138.60  (Price after 20% discount .The price will be the 80%)    

 138.60 * 1.075 =   148.995  (price with 7.5  sales tax.)  

Answer:

[tex]\theta=54.25\°[/tex]

Step-by-step explanation:

we know that

When the sine of angle X is equal to the cosine of angle Y, then angle X and angle Y are complementary angles

so

[tex]X+Y=90\°[/tex]----> equation A

In this problem

[tex]X=\theta[/tex]

[tex]Y=(\theta-18.5)[/tex]

substitute in the equation A

[tex]\theta\°+(\theta-18.5)\°=90\°[/tex]

[tex]2\theta=90+18.5[/tex]

[tex]2\theta=108.5[/tex]

[tex]\theta=54.25\°[/tex]

Answer:

Elga's age is 5.

Step-by-step explanation:

3x=y

x+y=20

-------------

x+3x=20

4x=20

x=20/4

x=5

3(5)=15

y=15

x=5, y=15

Answer:

$ 929

Step-by-step explanation:

Given: Original price of stay in hotel= $240 per night

           Discount= 25%

           Total taxes and fee = 29%

Now, finding the price of stay for four night.

Using unitary method to solve:

As we know original price of hotel stay per night is $240

∴ Price of four night stay at original price is [tex]240\times 4 = \$ 960[/tex]

Next, 25% discount given on the price of four night stay.

∴ [tex]960 - \frac{25}{100} \times 960 = 960 - 240[/tex]

= [tex]\$ 720[/tex]

∴Price of four night hotel stay after discount is [tex]\$ 720[/tex]

Now, 29% taxes and fees been added to the price.

Price of hotel stay after discount + Taxes paid.

[tex]720 + ( \frac{29}{100} \times 720) = 720 + 209[/tex]

= [tex]\$ 929[/tex]

∴ [tex]\$ 929[/tex] is the price to be paid for four night stay at hotel after discount and taxes.

Answer:

The least number of days that will pass before Andy will have to do both chores together on the same days are 5 days.

Step-by-step explanation:

Let us start from the initial day.

Every 2 days Andy takes out the trash.

So, the days he takes out trash are second day, fourth day, sixth day , eighth day , tenth day and so on..          (1)

Every 3 days Andy sweeps the kitchen.

So, the days he sweeps the kitchen are third day,  sixth day , ninth day , twelfth day and so on..          (2)

Now, on comparing both equations (1) and (2) we see the first common day to both the chores is SIXTH DAY.

Hence, the least number of days that will pass before Andy will have to do both chores together on the same days are 5 days.