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The table shows the number of minutes in different numbers of days.

Number of Days 4 7 11
Number of Minutes 5760 10,080 15,840
Which equation expresses the relationship between the number of days, d, and the number of minutes, m?


d = 1440m

m = d + 1440

m=d1440

m = 1440d

Answer:

I didn’t know you could have more than 2 answers that’s pretty cool

Step-by-step explanation:

They can afford 9. You work it out by dividing 50.40 / 5.60

The math club can buy at most 9 lunch specials from Jimmy John's with the money in its treasury.

To determine how many lunch specials the math club can buy, we need to divide the total amount of money in the treasury by the cost of one lunch special. Let's denote the number of lunch specials the club can buy as \( n \).

The cost of one lunch special is $5.60, which can be written as a fraction of dollars as[tex]\( \frac{560}{100} \)[/tex]to make the calculations easier. The total amount of money in the treasury is $50.40, which can similarly be written as [tex]\( \frac{5040}{100} \).[/tex]

Now, we set up the inequality to find the maximum number of lunch specials \( n \) that can be bought without exceeding the treasury's funds:

[tex]\[ \frac{560}{100}n \leq \frac{5040}{100} \][/tex]

To solve for \( n \), we divide both sides of the inequality by the cost of one lunch special:

[tex]\[ n \leq \frac{\frac{5040}{100}}{\frac{560}{100}} \][/tex]

[tex]\[ n \leq \frac{5040}{560} \][/tex]

[tex]\[ n \leq 9 \][/tex]

 Since \( n \) must be an integer (you can't buy a fraction of a lunch special), the math club can buy 9 lunch specials at most. Any more than that, and they would not have enough money. Thus, the maximum number of lunch specials the club can buy is 9."

Answer:

c. y = 1.25

Step-by-step explanation:

The equation for direct variation is

y = kx,

where k is the constant of proportionality.

We can use the given values of x and y to find k for this case.

y = kx

-10 = k * 40

k = -10/40

k = -0.25

The equation for this case is

y = -0.25x

Now we let x = -5 and solve for y.

y = -0.25x

y = -0.25(-5)

y = 1.25

Answer: c. y = 1.25

Answer:

c    y = 1.25

Step-by-step explanation:

The equation for direct variation is y= kx

If we know y and x we can solve for k

-10 = k*40

Divide each side by 40

-10/40 =k

-1/4 =k

The equation for this direct variation is

y =-1/4 x

Given that x =-5

y = -1/4 *-5

y = 5/4

y = 1.25

Answer:

30 divided by 2+3 is 6.

Step-by-step explanation:

The first thing you need to do is add 2 and 3, which is five, and then divide 30/5. The quotient is 6.

The quotient of 30 and the sum of 2 and 3 is 6.

The quotient of 30 and the sum of 2 and 3 can be found by dividing 30 by the sum of 2 and 3.

Step 1: Calculate the sum of 2 and 3. 2 + 3 = 5.

Step 2: Divide 30 by 5. 30 ÷ 5 = 6.

Therefore, the quotient of 30 and the sum of 2 and 3 is 6.

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Answer:

f(x) = 2/3 x +3

Step-by-step explanation:

We know the y intercept ( where it crosses the y axis)  is 3

We can calculate the slope from 2 points (-3,1) and (0,3)

Slope = (y2-y1)/(x2-x1)

         = (3-1)/(0--3)

          = (3-1)/(0+3)

          = (2/3)

The slope is 2/3

Since we know the slope and the y intercept, we can use the slope intercept form

y= mx+b

y = 2/3 x+3

f(x) = 2/3 x +3

Answer: After about years 27 Account B will have more money than Account A  

Step-by-step explanation:  

Account A: 27(50) + 500 = $1850

Account B: 500(1.05^27) = $1866.73  

Hope this help

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The area of Dave's bedroom, which is a rectangle with a length of 60 feet and a width of 50 feet, is calculated to be 3000 square feet.

The subject of this question is Mathematics, specifically geometrical calculations related to rectangles. The question provides the perimeter and one side length of a rectangle (Dave's bedroom) and asks for the area. First, remember that the perimeter of a rectangle is calculated by the formula 2(length + width). In the given problem, the total distance around the room (or the perimeter) is 220 feet and the width of the room is 50 feet. We can use the perimeter formula to find the length: 220 = 2(length + 50), so length = (220/2) - 50, which is 60 feet.

Now, the area of a rectangle is calculated by the formula length x width. In Dave's room, the length is 60 feet and the width is 50 feet. So Area = Length x Width = 60 feet x 50 feet = 3000 square feet. Thus, the area of Dave's bedroom is 3000 square feet.

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To find the area of Dave's rectangular-shaped bedroom, multiply the length by the width which is 6000 sq ft.

To find the area of Dave's bedroom, we need to determine the length of the room.

Since the total distance around the room is 220 feet and the width is 50 feet, we can subtract twice the width from the total distance to find the length.

This gives us a length of 220 - 2(50) = 120 feet.

The area of a rectangle is found by multiplying the length by the width, so the area of Dave's bedroom is 120 * 50 = 6000 square feet.

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Final answer:

The equation of the line with an x-intercept of -4 and a y-intercept of 2 is y = 0.5x + 2. We found this by calculating the slope using the two given points and then using the slope-intercept form to construct the equation.

Explanation:

To write the equation of the line with an x-intercept of -4 and a y-intercept of 2, we can use the two intercepts as points on the line: (-4,0) and (0,2). We can find the slope using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line. For our points this would be:

m = (2 - 0) / (0 - (-4)) = 2 / 4 = 0.5

Once we have the slope, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. Since the y-intercept is given as 2, we can write:

y = 0.5x + 2

This is the equation of the line with the given intercepts.

Answer:

Intercept form  y=-5/64 (x) (x-160)

Vertex form  y =  -5/64 (x-80)^2 + 500

Step-by-step explanation:

The equation for a parabola in intercept form is y =a(x-p) (x-q)

where p and q are the intercepts.  We know that it intersects the x axis at 0 and 160, so we can substitute these in

y = a(x-0) (x-160)

y = a(x) (x-160)

We have to calculate the value of a.

Using the point (80, 500)

500 = a(80) (80-160)

500 = a (80) *(-80)

500 = a *-6400

Divide each side by -6400

a = -500/6400

a = -5/64

So the equation in intercept form is

y = -5/64 (x) (x-160)

The equation for a parabola in vertex  form is

y = a(x-h)^2 +k    

We know the vertex is (80,500)

y = a(x-80)^2 + 500

We need to pick a point to solve for a.  (0,0)

0 = a(0-80)^2 + 500

Subtract 500 from each side.

-500 = a(-80)^2

-500 = a (6400)

Divide by 6400

-500/6400 = a

-5/64 = a   ( Does this look familiar?)

y = -5/64 (x-80)^2 + 500

Answer:

Value of x = 400

Step-by-step explanation:

Joint variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them.

Given: x varies directly with y and  z.

i.e [tex]x \propto y[/tex] and [tex]x \propto z[/tex]

then we have the joint variation as;

[tex]x = k yz[/tex] ......[1] where k is the constant variation.

Substitute the value of x =1200 when y =20 and z = 30 to solve for k;

[tex]1200 = k (20)(30)[/tex]

Simplify:

[tex]1200 = 600k[/tex]

Divide both sides by 600 we get;

[tex]k = 2[/tex]

Now, substitute k =2 , y =10 and z = 20 to find x;

Using [1] we have;

[tex]x = 2 \times (10)(20) = 2 \times 200[/tex]

Therefore, the value of x is, 400

Answer:

x = 400

Step-by-step explanation:

given that x varies directly with y and z the the equation relating them is

x = kyz ← k is the constant of variation

to find k use the given condition x = 1200 when y = 20 and z = 30

k = [tex]\frac{x}{yz}[/tex] = [tex]\frac{1200}{20(30)}[/tex] = 2, thus

x = 2yz is the direct variation equation

when y = 10 and z = 20, then

x = 2 × 10 × 20 = 400

Answer:

D.

Step-by-step explanation:

Function does not have duplication of a number.be

The A choice contains duplicates of both 2 and -2.

The B choice contains a duplicate of 4.

Therefor, it must be D.

==============================================

Which of the sets of ordered pairs represents a function?  

A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}

B = {(4, 2), (3, −2), (9, 4), (11, −3)}

Select one:

a. Only A

b. Only B

c. Both A and B

d. Neither A nor B

First find the difference

160-40=120

Take the difference and divide it by the original number

120/160=0.75

Multiply by 100

75

Answer: sample

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(2x^2 + 3x - 4) (x + 4)

FOIL.

2x^2 times x = 2x^3

3x times x is 3x^2

-4 times x = -4x

2x^2 times 4 = 8x^2

3x times 4 = 12 x

-4 times 4 = -16

Combine like terms to get 2x^3 + 11x^2 + 8x - 16.

To find the proportional relationship of 15 mL to 3.75 L, we first convert 3.75 L to milliliters, which is 3,750 mL. Then, we set up a proportion and solve for the unknown liter value. The proportional relationship of 15 mL to 3.75 L is 0.05625 L.

The student is asking about the proportional relationship between two different units of liquid volume: milliliters (mL) and liters (L). To establish this relationship, a conversion is needed, since 1 liter is equivalent to 1,000 milliliters.

First, we need to convert 3.75 liters to milliliters:

Now, let's express the proportion:

Answer:

D) y = -x - 3

Step-by-step explanation:

Step 1. Find the slope (m₁) of the original line

The equation for the original line is

-x + y = 5       Add x to each side

     y = x + 5

slope = m₁ = 1

Step 2. Find the slope (m₂) of the perpendicular line

m₂ = -1/m₁     Substitute the value of m₁

m₂ = -1/1

m₂ = -1

====================

Step 3. Find the equation for the perpendicular line

y = mx + b     Substitute the value of m₂

y = -x + b

The line passes through (2, -5).  

-5 = -2 + b     Add 2 to each side

b = -3  

y = -x - 3

In the image, below  the graph of your original equation is the red line.

The blue line passing through (2, -5) is the perpendicular line.

Answer:

30.50 = 8p +2d

49= 7p +6d

The price of a bag of popcorn is $2.50

Step-by-step explanation:

p = price of popcorn

d = price of drinks

Luke costs:

30.50 = 8p +2d

Aiden

49= 7p +6d

I will multiply  Lukes equation by -3 so I can use elimination on the d variable

-3 (30.50) =-3( 8p +2d)

-91.50 = -24p -6d

Now add the modified equation to Aidens equation

49       = 7p +6d

-91.50 = -24p -6d

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

-42.5 = -17p

Divide each side by -17

-42.50/-17 = -17p/-17

2.5 = p

Each popcorn costs 2.5

Answer:

18.75 feet of steel pipe weighs 237 pounds  

explanation:

find out how much 1 feet weighs than u can find out how much 18.75 feet.

by doing it like this  

158÷ 12.5

=12.64

1 feet equals 12.64 pounds

12.64× 18.75

=237 pounds this is the answer

i do apologize if it wrong

Answer:

That new length would weight 237lbs

Step-by-step explanation:

To find this, we first need to find the weight per foot of the pipe. We can do this by taking the total weight and dividing by length.

158lbs/12.5ft = 12.64 pounds per feet.

Now we can multiply the rate by the new length.

12.64 pounds per feet * 18.75ft = 237lbs

Answer:

C

Step-by-step explanation:

to factor x² - x - 2

consider the factors of the constant term which sum to give the coefficient of the x-term.

the factors are - 2 and + 1 since - 2 × 1 = - 2 and - 2 + 1 = - 1

x² - x - 2 = (x - 2)(x + 1), hence (x + 1) is a factor

The relationship between (x + 1) and the polynomial x² - x - 2 is that            ( x + 1) is a factor of x² - x - 2.

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non negative integral power.

The given polynomial is x² - x - 2.

x² - x - 2

= x² - 2x + x - 2

= x( x - 2) + 1( x - 2)

=( x - 2) ( x + 1)

So we can see that, ( x + 1) is a factor of x² - x - 2.

So, option C is correct.

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Answer:

I will help you with question number 2.

48:

12*4

Step-by-step explanation:

12*4=48

Answer:

The 9th and 11th students are also boys.

Step-by-step explanation:

Every other student is a boy. Since the 7th student is a boy this means the 8th student is a girl.

You can also think of it with odd numbers. Every odd numbered student is a boy.

Answer:

It will crawl 6 yards in 2 hours.  If you can, please mark me the brainliest :)

Step-by-step explanation:

3 yards an hour * 2 hours = 6 yards per hour.

Answer: 2hrs = 120 mins

1km = 100,000cm

120 x 38 = 4560cm

Answer:

Step-by-step explanation:

Ratio means division. 36 dm / 6 dm = 6. Cancel out dm.

As a ratio, it would technically be 6:1

(1) is correct. [tex]\mathbf u\cdot\mathbf v=(-14)(0)+(8)(11)=0+88=88[/tex]

(2) is correct. I assume you just computed the dot product as above, but another way to do it is to notice that [tex]\mathbf v\cdot\mathbf v=\|\mathbf v\|^2[/tex] (that is, the dot product of a vector with itself is the square of its magnitude). Then since [tex]\|\mathbf v\|=\sqrt{1^2+2^2}=\sqrt5[/tex], we have [tex]\mathbf v\cdot\mathbf v=\|\mathbf v\|^2=5[/tex].

(3) is not correct. Since [tex]\mathbf u\cdot\mathbf u=\|\mathbf u\|^2=\sqrt{45}[/tex], we have [tex]\|\mathbf u\|=\sqrt{\sqrt{45}}[/tex].

(4) is correct.

[tex]2\mathbf u\cdot\mathbf v=2(\mathbf u\cdot\mathbf v)=2((-3)(1)+(6)(2))=2(-3+12)=2(9)=18[/tex]

Hi There!

Answer:

15 to 27

Step-by-step explanation:

Boys: 15

Girls: 12

Total Students: 15 + 12 = 27

Boys to Total Students = 15 to 27

Hope This Helps :)

To find the ratio of boys to total students in a classroom, divide the number of boys by the total number of students. In this case, the ratio is 5/9.

To find the ratio of boys to total students in a classroom, we need to know the total number of students in the classroom. Let's assume that there are 27 students in total.

The ratio of boys to girls is given as 15 to 12. This means that for every 15 boys, there are 12 girls. To find the ratio of boys to total students, we add up the number of boys and divide by the total number of students.

In this case, the number of boys is 15 and the total number of students is 27. So the ratio of boys to total students is 15/27. This can be simplified to 5/9.

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Hi There!

Step-by-step explanation:

40% = 0.4

124.46 * 0.4 = $49.784 (Discount)

124.46 - 49.784 = $74.676 (Sale Price)

74.676 = 74.68

Answer:

$74.676 or $74.68

Hope This Helps :)

Answer:

The cost would be $74.68

Step-by-step explanation:

To find this amount, multiply the original price by the percentage you would be paying. Since the mark down is 40%, we know that the amount paid is 60%. So multiply that by the original cost.

$124.46 * 60% = $74.68

Answer:

B. 585

Step-by-step explanation:

A graph of the scatter plot and line of best fit is attached.

The temperature in this problem will be the independent variable, or x.  This is because we are assuming that the number of ice cream cones sold depends on the temperature; this means the number of ice cream cones will be the dependent variable, or y.

This means in our graphing calculator, we will enter temperature in the first list and the number of cones in the second.

After drawing the scatter plot, we run the linear regression; we get the values for a and b in our equation, y = ax+b:

a = 5.08

b = 46.59

This gives us the equation y = 5.08x + 46.59.

Entering our temperature, 106, in for x gives us

y = 5.08(106) + 46.59 = 585.07 ≈ 585

Answer:

B

Step-by-step explanation:

585 Just took the test. Reference above to see explanation.

Answer:

#5: 80mm, #6: 50yd, #7: 36m, #8: 32ft

Step-by-step explanation:

For #5:

The ratio between the two shapes is 24/15 = 8/5, based on the corresponding sides.

So, multiplying 8/5 with the smaller shape's perimeter of 50 would give you 80mm, which is the bigger shape's perimeter.

For #6:

The ratio between the two shapes is 15/9 = 5/3, based on the corresponding sides.

So, multiplying 5/3 with the smaller shape's perimeter of 30 would give you 50yd, which is the bigger shape's perimeter.

For #7:

The ratio between the two shapes is 12/4 = 3, based on the corresponding sides (You can also check this with 15/5).

So, multiplying 3 with the smaller shape's perimeter of 12 would give you 36m, which is the bigger shape's perimeter.

For #8:

The ratio between the two shapes is 12/21 = 4/7, based on the corresponding sides.

So, multiplying 4/7 with the bigger shape's perimeter of 56 would give you 32ft, which is the smaller shape's perimeter.

Hope this helps! Have a nice day!

Answer:

Ca^(2+) or the charge is 2 plus or just 2

Step-by-step explanation:

Charge on the calcium ion = 20*(+1) + 18*(-1) = 20 - 18 = 2

The charge on the calcium ion is +2