you are taking a test worth 130 points. There are a total of 50 five-point and two-point questions. How many five-point questions are there on the test?

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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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:

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

Step-by-step explanation:

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:

24 total students

Step-by-step explanation:

multiply 25 times 18 to get 450 then divide 450 by 75 then you get 6, which is the total amount of girls, so 6 + 18 = 24

x = number of students

75% of x = number of boys

(75/100)*x = 18

0.75x = 18

x = 18/0.75 <--- divide both sides by 0.75 to isolate x

x = 24

So there are 24 students in the class

Note how 18/24 = 3/4 = 0.75 = 75% represents the percentage of boys

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: 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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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.

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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Answer: D) y = - 1 /2 x + 1

Step-by-step explanation:

Got this right on USA test prep

The equation of the perpendicular line that passes through (6, -2) will be y = - (1/2)x + 1. Then the correct option is D.

If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y = 2x + 8

Then the slope of the line is 2, then the slope of the perpendicular line will be - 1/2. Then the equation is given as,

y = - (1/2)x + c

The equation of the line is passing through (6, -2). Then we have

- 2 = - (1/2)6 + c

- 2 = - 3 + c

c = 1

Then the equation of the line is given as,

y = - (1/2)x + 1

The equation of the perpendicular line that passes through (6, -2) will be y = - (1/2)x + 1. Then the correct option is D.

More about the equation of a perpendicular line link is given below.

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The point-slope form:

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

We have the slope m = 4 and the point (-1, -3). Substitute:

[tex]y-(-3)=4(x-(-1))\\\\\boxed{y+3=4(x+1)}[/tex]

Answer:

Step-by-step explanation:

About Point Slope Form:

Y - 3 = 4 (x - -1)

Answer: sample

Step-by-step explanation:

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:

#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:

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.

(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]

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.

Answer:

The answer is 8 1/3.

The answer will be 8 1/3

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:

2(4x - 3)

Step-by-step explanation:

Factor 3(x-2) + 5x

8x - 6

= 2(4x - 3)

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:

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:

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

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:

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:

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:

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:

[tex]A=8.2 cm^2[/tex] or [tex]A=\frac{81}{\pi }[/tex]

Step-by-step explanation:

Since the the formula for the circumference of a circle is [tex]C=2\pi r[/tex] and C is 18, we can substitute and solve for r. After we solve for r, we substitute it into the area formula.

[tex]18=2\pi r\\\frac{18}{2\pi } =\frac{2\pi r}{2\pi }\\2.866=r[/tex]

The formula for the area is [tex]A=\pi r^{2} \\A=\pi 2.866^{2} \\A=8.2 cm^2[/tex]

As a fraction, we would not simplify to a decimal and the solution would be:

[tex]A=\pi r^{2} \\A=\pi (\frac{9}{\pi }) ^{2} \\A=\frac{81}{\pi }[/tex]

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.