In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school.

A. Explain why this is not a valid conclusion

B. Suggest a better method of determining what subject is most popular

Answer:

See below for answers

Step-by-step explanation:

Part 1:

Angle 1 is a supplementary angle, so it must be 180-50=130 degrees because supplementary angles add up to 180 degrees.

Angle 2 is a vertical angle, therefore it must be 50 degrees as well because vertical angles are congruent.

Angle 3 is vertical to angle 1, so it is 130 degrees since vertical angles are congruent.

Part 2:

x and 2x+21 are supplementary angles, so we can make an equation:

x+2x+21=180

3x+21=180

3x=159

x=53

So x=53

Answer:

1 = 130

2 = 50

3 = 130

4 = x = 53

Step-by-step explanation:

angle 2 is congruent to 50 degrees

1 and 3 are congruent

1 and 2 are supplementary

3x+21 = 180

3x = 159

x = 53

Answer:

A: 1,1 B: 2,3 C;3,1

Step-by-step explanation:

Divide each number by 1/2 or times by .5

Answer:

1/4, 1/2, 3/4, 1

Answer: 1/4,1/2.3/4,1

Step-by-step explanation:

1/4=0.25

1/2=0.50

3/4=0.75

1=1

Answer:

120 ft. sq

Step-by-step explanation:

You use the equation length times width to find the area. 15 x 8 = 120. This equation works for any rectangle

Answer:

If there are 16 pounds in one ounce, and you have 96 ounces then you must divide 96 by 16.  That would mean there are 6 pounds in 96 ounces.

Step-by-step explanation:

So to answer the blocks you must divide the number of ounces by the unit rate. There are 16 ounces per pound.

Answer:

Tanisha wrote an equation that is the same as Mrs. McAlister's equation.

9t = 8

Step-by-step explanation:

Mrs. McAlister wrote an equation on the board is:

10t-4t+3t=8

Now we simplify this

In order to simplify the left side, we combine like terms.

Here 10t, -4t, & 3t are like terms

So, 10t - 4t + 3t is equivalent to 9t

Thus,

9t = 8

This equation is written by the Tanisha.

That's the final answer.

I hope it helps you.

Answer:

Tanisha

Step-by-step explanation:

10t - 4t + 3t = 8    (given)

= 10t - 4t + 3t  = 8

= 9t = 8

This is what Tanisha wrote (9t = 8)

Hope this helps, and please mark me brainliest if it does!

The solution to the system of equations is x = 4 and y = 2.

Let's solve the system of equations:

4x - 12y = -8

-3x + 12y = 12

We can solve this system using the method of addition or elimination. Adding the two equations eliminates y:

(4x - 12y) + (-3x + 12y) = -8 + 12

Simplifying:

4x - 3x = 4

x = 4

Now that we have found x = 4, we can substitute this value back into one of the original equations to solve for y. Let's use the second equation:

-3x + 12y = 12

-3(4) + 12y = 12

-12 + 12y = 12

12y = 12 + 12

12y = 24

y = 24 / 12

y = 2

Answer:

6

Step-by-step explanation:

5×+23= 53

5×+23-23= 53-23

5x=30

30÷5=6

Answer:

The answer is B.

Step-by-step explanation:

The easiest way to solve these is by taking the total number/ 53 and subtracting it by the number you do know/ 23. In this case you would get 30. Then you multiply 5 to get 30. Which is 6.

Answer:

The actual distance between the two towns is 105 km

Step-by-step explanation:

Lets use a proportion for this scenario

1/30 = 3.5/?

We see that the numerator is multiplied by 3.5, from 1 to 3.5

So we do the same to the denominator

30 x 3.5 is 105 km

So your answer is 105 km

Answer:105 km

Step-by-step explanation:hope this help u

Answer: i'm pretty sure the answer is B  sorry if i'm not correct.

Step-by-step explanation:

Answer:

i believe its c

Step-by-step explanation:

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

[tex]x *(x+2)=35[/tex]

Expanding, you get:

[tex]x^{2}+2x = 35.[/tex]

And moving the 35 to the other side, you get a simple quadratic.

[tex]x^{2}+2x -35 =0.[/tex]

Solving by factoring:

[tex](x+7)(x-5)[/tex]

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

Answer:

-15.2°C

Step-by-step explanation:

-4.4 - 10.8 = -15.2

Hope this helps <3

The temperature at the top of the mountain is -15.2°C.

The solution to the problem:

Given:

The temperature at the base of the mountain is -4.4°C.

The temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain.

Objective:

Determine the temperature at the top of the mountain.

Solution:

Let x be the temperature at the top of the mountain. We know that the temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain, so we can write the following equation:

x = -4.4 - 10.8

Simplifying the right side of the equation, we get:

x = -15.2°C

Answer:

75 minutes

Step-by-step explanation:

1 /4 = 15 minutes

15 x 5 = 75

hope i helped

Answer:

s = -3.222222222

Step-by-step explanation:

9s+29 = 0

9s = -29

s = -3.2222222222

Answer:

1741.67 yards

Step-by-step explanation:

recall that 1 yard is 3 feet

or

1 foot = 1/3 yards

hence,

5225 feet = 5225 x (1/3) = 1741.67 yards

Answer: 1741.67 yards.

Step-by-step explanation:

Since 3 feet ia a yard, divided 5225 by 3. You get 1741.67. Hope this helps!

Answer:

C. 6 gallons < 25 quarts.

E. 80 pints = 40 quarts.

Step-by-step explanation:

A. There are 8 fluid oz in 1 cup.

Multiply 8 with 6:

6 cups x 8 = 48 fl oz.

44 fl oz < 48 fl oz ∴ A. is false.

B. There are ~6.67 pints in 1 gallon.

Multiply 6 gallon with 6.67:

6 gallon x 6.67 = ~40.02 pint.

47 pint > 40.02 pint ∴ B. is false.

C. There is 4 quarts in 1 gallon.

Multiply 6 gallons with 4:

6 gallon x 4 = 24 quarts.

24 quarts < 25 quarts ∴ C. is true.

D. There is 4 cups in 1 quarts.

Multiply 7 with 4 and add 4:

7 quarts x 4 = 28 + 4 = 32

32 cups < 34 cups ∴ D. is false.

E. 1 quart = 2 pint

You are given 80 pints:

80/2 = 40 quarts ∴ E. is true.

~

To convert -25.49 decimal degrees to degrees, minutes, and seconds, the answer is -25° 29' 24". This conversion involves separating the degree, multiplying the decimal part by 60 for minutes, and doing the process again for seconds.

To change the decimal degree -25.49 to degrees, minutes, and seconds (DMS):

The negative sign indicates the direction (west or south, depending on the context).

The answer is -25° 29' 24" (which might be west or south, depending on context).

Answer:

B

Step-by-step explanation:

Answer:

Option D, 44

Step-by-step explanation:

Step 1:  Find the size of the missing angle

All triangles add up to 180 degrees.

[tex]106 + 30 + x = 180[/tex]

Step 2:  Combine like terms

[tex](106 + 30) + x = 180[/tex]

[tex]136 + x = 180[/tex]

Step 3:  Subtract 136 from both sides

[tex]136 + x - 136 = 180 - 136[/tex]

[tex]x = 44[/tex]

Answer:  Option D, 44

Answer:

44

Step-by-step explanation:

106 + 30 = 136

180 - 136 = 44

Answer:

.2

Step-by-step explanation:

Whenever we see "of," we know we have to multiply.

.05% = .0005 in decimal form, so

.0005 * 400 = .2

Answer:

.2

Step-by-step explanation:

hope this helps

stay safe :)))

brainliest is appreciated

there is someone who keeps reporting my answers, copying them, and accusing me of doing it and their name is nasa619 so im sorry if that happens :((

Answer:

[tex]1/8[/tex]

Step-by-step explanation:

Step 1:  Divide both top and bottom by 9

[tex](9/9) / (72/9)[/tex]

[tex](1) / (8)[/tex]

[tex]1/8[/tex]

Answer:  [tex]1/8[/tex]

Answer: the answer is 1/8

Step-by-step explanation:

Ok use a Calculator to help you.

Answer:

D, a = 13

Step-by-step explanation:

A is larger than 12 and the only number bigger than 12 on that paper is 13.

Answer:

Step-by-step explanation:

There are two ways to find the value of m∠ ABT

By using trigonometric ratio:

1 - Draw a perpendicular AT

2 - Now the Δ ABT is a right-angle triangle. therefore by using trigonometric ratio

Sine X = Perpendicular / Hypotenuse

Sine X = AT/AB

X = Sine-1 AT/AB.

others ratio can also be used i.e cos x & tan x.

By using Circle Properties

1 - find the radius then the chord AB  

Answer:

B

Step-by-step explanation:

khan

The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     [tex]A=2\pi r h + 2\pi r^{2}[/tex]......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   [tex]r=\frac{d}{2}[/tex]

                      = [tex]\frac{1.5}{2}[/tex]

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × [tex]\pi[/tex] × 0.75 × 5 ) + ( 2 × [tex]\pi[/tex] × [tex]0.75^{2}[/tex] )

                      = ( 7.5 [tex]\pi[/tex] ) + ( 1.125 [tex]\pi[/tex] )

                  A = 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex]

Result:

        The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.

The surface area of a cylinder is 8.625π cm². Thus, the correct answer is B.

First, calculate the radius of the cylinder, which is half of the diameter:

r = 1.5 cm / 2

   = 0.75 cm

Next, find the area of the two circular bases of the cylinder using the formula for the area of a circle, A = πr²:

Area of one base = π(0.75 cm)²

                              = 0.5625π cm²

Total area of the two bases = 2 × 0.5625π cm²

                                              = 1.125π cm²

Then, calculate the lateral surface area using the formula for the circumference of a circle (C = 2πr) multiplied by the height (h):

Lateral surface area = 2π(0.75 cm)(5 cm)

                                  = 7.5π cm²

Finally, add the areas of the two bases and the lateral surface area to find the total surface area:

Total surface area = 1.125π cm² + 7.5π cm²

                              = 8.625π cm²

The correct answer is B. 8.625π cm².

Answer: