A high school is hosting a blood drive. The sign-up sheet has 5 slots available for Mr. Bentley’s class and 6 slots available for Ms. Curren’s class. If there are 21 students in Mr. Bentley’s class and 23 students in Ms. Curren’s class, which expression represents the number of possible groups of students that can fill the 11 available slots?

Answer:

x= -8

Step-by-step explanation:

Answer:

x= -8

Step-by-step explanation:

Answer:

v1

Step-by-step explanation:

Answer: Sales tax would be $5.40

Step-by-step explanation: The sales value itself of the dress (that is, without tax) is $65.49.

The amount charged as sales tax in Pearland is given as 8.25% (or 0.0825).

Hence if she is shopping in Pearland, the AMOUNT OF SALES TAX she would pay can be calculated as,

Sales tax = Sales price x 0.0825

Sales tax = 65.49 x 0.0825

Sales tax = 5.402925

Approximately to two decimal places, the sales tax becomes $5.40

The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.

Step-by-step explanation:

The given is,

                Right angled triangle XVW,

                                     XW = 14[tex]\sqrt{3}[/tex]

                                   m∠V = 90°

                                  m∠W = 45°

Step:1

              Given diagram is right angle triangle,

              Trigonometric ratios for right angle is,

                                 [tex]sin[/tex] ∅ [tex]=\frac{Opp}{Hyp}[/tex]............................(1)

                                  [tex]cos[/tex] ∅ [tex]= \frac{Adj}{Hyp}[/tex] .........................(2)

                                  [tex]tan[/tex] ∅ [tex]= \frac{Opp}{Hyp}[/tex]..........................(3)

Step:2

             For the value of VX,

                                   [tex]sin[/tex] ∅ [tex]=\frac{VX}{XW}[/tex]

            From given,

                               ∅ = 45°

                           XW = 14[tex]\sqrt{3}[/tex]

           Above equation becomes,

                                     [tex]sin[/tex] 45 [tex]=\frac{VX}{14\sqrt{3} }[/tex]

            Where, Sin 45 = [tex]\frac{1}{\sqrt{2} }[/tex],

                                            [tex]\frac{1}{\sqrt{2} } = \frac{VX}{14\sqrt{3} }[/tex]

                                           [tex]VX = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]

Step:3

              For the value of VW,

                                   [tex]cos[/tex] ∅ [tex]=\frac{VW}{XW}[/tex]

            From given,

                               ∅ = 45°

                           XW = 14[tex]\sqrt{3}[/tex]

           Above equation becomes,

                                     [tex]cos[/tex] 45 [tex]=\frac{VW}{14\sqrt{3} }[/tex]

            Where, cos 45 = [tex]\frac{1}{\sqrt{2} }[/tex],

                                            [tex]\frac{1}{\sqrt{2} } = \frac{VW}{14\sqrt{3} }[/tex]

                                           [tex]VW = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]

Step:4

             For the value m∠x = a,

                                      [tex]tan[/tex] a [tex]=\frac{VX}{VW}[/tex]

            From given,

                            VX = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]

                           VW = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]

           Above equation becomes,

                                     [tex]tan[/tex] a [tex]=\frac{\frac{14\sqrt{3} }{\sqrt{2} } } {\frac{14\sqrt{3} }{\sqrt{2} } }[/tex]

                                      [tex]tan[/tex] a = 1

                                             a = [tex]tan^{-1}[/tex] (1)

                                             a = 45°

                                 m∠x = a = 45°

Step:5

            Check for solution,

                         m∠v  = m∠w + m∠x

                                   = 45° + 45°

                            90° =   90°

Result:

            The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.

Answer:

Number of hour worked by Dewey = 27 hours

Number of hour worked by Huey =  20hours

Number of hours worked by Louie = 40 hours

Step-by-step explanation:

Let x be number of hours worked by Dewey

Number of hour worked by Huey = x - 7

Number of hours worked by Louie = 2*(x-7) = 2*x -2*7 = 2x- 14

Together they worked 87 hours

x + x-7 + 2x-14 = 87

4x - 21 = 87

4x = 87 +21

4x = 108

x = 108/4

x = 27 hours

Number of hour worked by Dewey = 27 hours

Number of hour worked by Huey = x - 7 = 27 - 7 = 20hours

Number of hours worked by Louie = 2x - 14 = 2*27 - 14 = 54 - 14 = 40 hours

Answer:

20hrs

Step-by-step explanation:

165-25 = 140

140/7 = 20

= 20hrs.

This is because 20 x $7 = $140 +$25 in account = $165

Answer:

56232.

Step-by-step explanation:

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graph of direct variation is a straight line through the origin. It may have positive, negative, or zero slope. (The slope may not be "undefined.")

The fourth graph or the last one represents a function of direct variation.

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

In other words, as x increases, y increases, which is evident in the last graph as well.

Learn more about direct variation here

https://brainly.com/question/14254277

#SPJ3

The line with equation 3x – 2y = 12 has the value of slope (m) equal to [tex]\frac{3}{2}[/tex] and y - intercept equal to -6.

What is the slope intercept form of a line ?

The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

The equation of a line is given which is 3x – 2y = 12.

This can be also written as :

3x - 2y - 12 = 0

We know that general equation of a line is given by ax + b + c = 0.

So , the given equation is :

3x – 2y = 12

dividing by 12 on both sides we get "

[tex]\frac{3x}{12}[/tex] - [tex]\frac{2y}{12}[/tex] = [tex]\frac{12}{12}[/tex]

[tex]\frac{x}{4}[/tex] - [tex]\frac{y}{6}[/tex] = 1

or

[tex]\frac{x}{4}[/tex] + (- [tex]\frac{y}{6}[/tex]) = 1

This is the slope intercept form of the given equation.

So , using the slope intercept form of line ,

y = mx + c

y = [tex]\frac{3}{2}[/tex] x - 6

If we compare : we get

c = y intercept = -6

and

Slope (m) = [tex]\frac{3}{2}[/tex]

Therefore , the line with equation 3x – 2y = 12 has the value of slope (m) equal to [tex]\frac{3}{2}[/tex] and y - intercept equal to -6.

Learn more about slope intercept form here :

brainly.com/question/18594541

#SPJ5

Final answer:

The line 3x – 2y = 12 has a slope of 3/2 and a y-intercept of -6, corresponding to choice A.

Explanation:

The equation of the line is given as 3x – 2y = 12. To find the slope and the y-intercept, we should rewrite this equation in slope-intercept form, which is y = mx + b, where 'm' is the slope and 'b' is the y-intercept. To do this, solve the given equation for y:

So, we have the slope (m) as 3/2 and the y-intercept (b) as -6, which corresponds to choice A.

The value of [tex]\( x \)[/tex] in a prism with volume [tex]\( 90 \)[/tex] cubic meters is approximately [tex]\( 2.466 \)[/tex] meters.

To find the value of [tex]\( x \)[/tex], knowing the volume [tex]\( V \)[/tex] of the prism, use the formula:

[tex]\[ V = l \times w \times h \][/tex]

Given [tex]\( V = 90 \)[/tex] cubic meters, if we assume the length [tex]\( l = 3x \)[/tex], width [tex]\( w = 2x \)[/tex], and height [tex]\( h = x \)[/tex], then:

[tex]\[ 90 = (3x) \times (2x) \times (x) \][/tex]

[tex]\[ 90 = 6x^3 \][/tex]

[tex]\[ x^3 = \frac{90}{6} \][/tex]

[tex]\[ x^3 = 15 \][/tex]

[tex]\[ x = \sqrt[3]{15} \][/tex]

[tex]\[ x \approx 2.466 \] meters.[/tex]

Answer:

  15

Step-by-step explanation:

Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...

  2x +5(27 -x) = 90

  -3x = 90 -135 . . . . subtract 135

  x = -45/-3 = 15 . . . divide by -3

Rob had 15 algebra problems for homework.

Answer:

15 problems

Step-by-step explanation:

Answer:

About 1691.886 gallons.

Step-by-step explanation:

The firs step is to find the volume of the pool in cubic feet. The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], which in this case is [tex]\pi \cdot 6^2 \cdot 2\approx 226.188[/tex] cubic feet. Multiplying this by 7.48, you get a total of about 1691.886 gallons of water. Hope this helps!

Answer:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2

Step-by-step explanation:

Apply the general formula for a circle:  (x - h)^2 + (y - k)^2  = r^2, where (h, k) is the center and r is the radius.  Since the center is (-2/3, -3/4), and r = 5, we get:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

To find the actual length of a parking lot based on a scale drawing, you need the scale, which is often given as a ratio like '1 cm : 10 ft'. You would multiply the length on the drawing by the scale value to get the actual length. However, without the scale, a definitive answer cannot be provided.

To find the actual length of the parking lot, you need to know the scale of the drawing, which is not provided in the current question. The scale is usually expressed as a ratio, essentially representing a conversion factor. An example could be '1 cm : 10 ft', meaning every one centimeter on the drawing represents ten feet in real life.

Let's say the scale is '1 cm : 10 ft' as an example. You would then multiply the scale value (10 ft) by the length of the parking lot on the drawing (3.2 cm). So: 3.2 cm * 10 ft/cm = 32 ft. Hence, in this example, the actual length of the parking lot would be 32 feet. However, without the scale, we cannot provide a definitive answer.

https://brainly.com/question/33515865

#SPJ2

The area of the circle is  36π mm²

A circle can be described as a round figure whose circumference (the distance round the circle) is equidistant from the centre. An image of a circle is attached.

The area of a circle = πr²

π= pi = 22/7

r = radius = 6mm

The radius of a circle is the distance from the centre of the circle to any point on the circle's circumference.

Area of the circle = π x 6² = 36π mm²

To earn more about the area of a circle, please check: https://brainly.com/question/21979774?referrer=searchResults

The area of the circle with a radius of 6mm is 36π mm².

The area (\(A\)) of a circle is given by the formula:

[tex]\[ A = \pi r^2 \][/tex]

where [tex]\(r\)[/tex] is the radius.

Given a radius of [tex]\(6 \, \text{mm}\),[/tex] substitute this value into the formula:

[tex]\[ A = \pi \times (6 \, \text{mm})^2 \][/tex]

[tex]\[ A = \pi \times 36 \, \text{mm}^2 \][/tex]

So, the area of the circle is[tex]\(36\pi \, \text{mm}^2\)[/tex] , and the units are square millimeters[tex](\(\text{mm}^2\)).[/tex]

Learn more about Area of a circle here:

https://brainly.com/question/28642423

#SPJ6

Answer:

B) (-2,1)

Step-by-step explanation:

The solution is where the two lines intersect, in this case at (-2,1)

Hope this helps! :)

Answer:

B) (-2, 1)

Step-by-step explanation:

2 units left from the origin

So x = -2

1 unit up

So y = 1

Answer:a

Step-by-step explanation:

8, 24, 25

[tex]8^2+24^2\neq 25^2[/tex]

Answer:

D

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

when you multiply 7x25 you get 675 then divide by 12 you get 56.25 meaning you need one more so you get 57

Answer:

the first option

Step-by-step explanation:

the formula to find the surface area of a cylinder is

2πrh+2πr²

Answer:

A=2πrh+2πr2=2·π·4·16+2·π·42≈502.65482

Step-by-step explanation:

up there

Answer:

(-10, -3)

Step-by-step explanation:

()  excludes -10 and -3 so it only includes the numbers in between.

The set builder notation is {x: x ∈ Z⁻, -10 < x < -3} and the set is {-9, -8, -7, -6, -5, -4}

It is given the set of numbers that are greater than -10 and less than -3.

Since they are negative integers, so all the required numbers also belong to the same category of numbers.

So, it is represented by Z⁻

Then, the set builder notation is

{x: x ∈ Z⁻, -10 < x < -3} and

The set is {-9, -8, -7, -6, -5, -4}

To learn more about Set-builder notation refer to:

https://brainly.com/question/11676827

#SPJ2

Answer:

9.55

Step-by-step explanation:

with a radius of 1 and a volume of 30 the height should be around 9.55

The height of the cylinder is 9.549 in with a volume of 30 cubics in and a radius of 1 in.

It is given that the volume of a cylinder is 30 cubic in and the radius is 1 in.

It is required to find the height of the cylinder.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder:

[tex]\rm V = \pi r^2 h[/tex]

Where r is the radius of a cylinder and h is the height of the cylinder.

Here V = 30 cubic in and r = 1 in

[tex]\rm 30 = \pi\times 1^2\times h[/tex]  or

πh = 30

h = 9.549 in

Thus, the height of the cylinder is 9.549 in with a volume of 30 cubics in and a radius of 1 in.

Learn more about the volume here:

https://brainly.com/question/16788902

Answer:

Varible x equals 2

Step-by-step explanation:

7x = 14

Dividing both sides by 7, we will have

x = 14/7

x = 2

Answer:

I think u=11

Step-by-step explanation:

A=6a^2

726 divided by 6= 121

square root of 121=11

answer=11

Answer:

21.6 Kilometers

Step-by-step explanation:

We know that every hour has 60 minutes, so the car travels at [tex]\frac{72}{60}[/tex] kilometers per minute.  Multiplying this by 18 gives [tex]18*\frac{72}{60}=21.6[/tex] kilometers.

Answer:

12

Step-by-step explanation:

To solve for a side using pythag:

[tex]\sqrt{37^2-35^2}[/tex]

Answer:

Second

Step-by-step explanation:

This question is asking for the largest magnitude. The second is of so. The deeper you go the more negative the number gets as thats how far you are off sea-level.

Answer:

the second one

Explanation: If you got this you are right

Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Step-by-step explanation:

We have following inequality :2 x + 3 greater-than negative 9 or ,

⇒ [tex]2x+3>-9[/tex]

Let's solve this :

⇒ [tex]2x+3>-9[/tex]

⇒ [tex](2x+3)+9>-9+9[/tex]

⇒ [tex]2x+12>0[/tex]

⇒ [tex](2x+12)-12>0-12[/tex]

⇒ [tex]2x>-12[/tex]

⇒ [tex]x>-6[/tex]

So , the value of x is greater then -6 . So , Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answer:

The person in the comments said...

The answer is c. When your dividing by a negative number the arrow is turned around.

Step-by-step explanation:

Hi, have a great day/night whichever one, stay safe and always be kind ^w^

p.s. i'm giving all the credit to the person in the comments

To determine the ordered pair that is a solution, we need an equation or a system of equations.

The question asks to highlight the ordered pair that is a solution. To do this, you would need an equation or a system of equations to solve. Without the equation(s), it is not possible to determine the ordered pair that is a solution. Please provide the equation(s) so we can help you further.

https://brainly.com/question/33579562

#SPJ1