Help me this is worth a lot of points

Answer:

17.25%.

Step-by-step explanation:

We have been given that last ear 225 students attended the annual school dance at CCMS. This year 211 students attended the dance. We are asked to find the percent of decrease.

We will use percent decrease formula to solve our given problem as:

[tex]\text{Percent decrease}=\frac{|\text{Final - Original}|}{\text{Original}}\times 100\%[/tex]

[tex]\text{Percent decrease}=\frac{|211-255|}{255}\times 100\%[/tex]

[tex]\text{Percent decrease}=\frac{|-44|}{255}\times 100\%[/tex]

[tex]\text{Percent decrease}=\frac{44}{255}\times 100\%[/tex]

[tex]\text{Percent decrease}=0.1725490\times 100\%[/tex]

[tex]\text{Percent decrease}=17.25490\%[/tex]

[tex]\text{Percent decrease}\approx 17.25\%[/tex]

Therefore, percent decrease is approximately 17.25%.

The answer is 1 mile an hour

Answer:

1) angle bisector

2) w = 72°

3) t = 44°

4) t = 51°

5) FG = 16 units

Step-by-step explanation:

1) Given that, ∠VYW ≅ ∠WYV

The line which cuts any angle into equal halves is angular bisector of the angle

⇒ YW is angle bisector

2) In a triangle, sum of two interior angle is equal to exterior angle of other side.

⇒ w-41° + w-31° = w.

⇒ w = 72°

3) Sum of interior angles in a pentagon is 540°

(For a n sided it is (n-2)180° )

⇒ 149° + 139° + t+32° + 3t +t = 540°

⇒ t = 44°

4) sum of all exterior angles taken one at each vertex = 360°

⇒ 2t-50° + 46° + 2t + 34° + 2t-50° + 34° + 40° = 360°

⇒ t = 51°

5) Here, by comparing ΔHGF and ΔHIF

   ∠GHF = ∠IHF

  ∠HGF = ∠HIF

 and HF is common side for both triangles

⇒  ΔHGF ≡ ΔHIF ;  i.e) ΔHGF , ΔHIF are congruent triangles

⇒ FG = FI = 16 units

Answer:

Option 3) (0.38, -2.85) and (2.62,3.85)

Step-by-step explanation:

we have

[tex]y=x^{2}-3[/tex] ----> equation A

[tex]y=3x-4[/tex] ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The intersection points are (0.38,-2.85) and (2.62,3.85)

see the attached figure

therefore

The graphs intersect approximately at (0.38,-2.85) and (2.62,3.85)

Answer:

48

Step-by-step explanation:

Step #1, Use PEMDAS,(Purple,Eyed,Monster,Drinks,A,Soda

Step #2, Add (3+5)

(8)

Step #3, Multiply 8×6

Step #4, No You

Answer:

48

Step-by-step explanation:

Answer:

2000 points

Step-by-step explanation:

Given:

Number of questions in a study guide (Q) = 100

Number of points for 1 question (n) = 20

Now, total number of points is calculated using unitary method by multiplying number of questions and number of points in one question.

Therefore, the total number of points is given as:

Total points = [tex]n\times Q[/tex]

Total points = [tex]20\times 100[/tex]

Total points = [tex]2000[/tex]

Hence, the study guide is worth 2000 points.

Answer:

10

Step-by-step explanation:

Answer:

The value of A =  [tex]\dfrac{1}{16}[/tex]

The value of B = [tex]\dfrac{1}{16}[/tex]

The value of C =  [tex]\dfrac{25}{16}[/tex]

The value of D =  [tex]\dfrac{5}{4}[/tex]

Step-by-step explanation:

Given as :

The following relations are as

[tex]\dfrac{d}{5}[/tex] =4 A           ...........1

d = 20 B                                       ...........2

d = [tex]\dfrac{4}{5}[/tex] C           ...........3

And d = [tex]\dfrac{5}{4}[/tex]

Now, From the above relations

Put the value of d in eq 1

∵ 4 A = [tex]\dfrac{d}{5}[/tex]

So, d = 5 × 4 A

Or, [tex]\dfrac{5}{4}[/tex] = 20 A

∴ A = [tex]\frac{\frac{5}{4}}{20}[/tex] = [tex]\dfrac{1}{16}[/tex]

I.e The value of A =  [tex]\dfrac{1}{16}[/tex]

Again

From eq 2

∵ d = 20 B

Put the value of d

So, [tex]\dfrac{5}{4}[/tex]  = 20 B

Or, B = [tex]\frac{\frac{5}{4}}{20}[/tex]

∴ B = [tex]\dfrac{1}{16}[/tex]

I.e The value of B = [tex]\dfrac{1}{16}[/tex]

Similarly

From eq 3

d = [tex]\dfrac{4}{5}[/tex] C  

Put the value of d

So, [tex]\dfrac{5}{4}[/tex] =  [tex]\dfrac{4}{5}[/tex] C    

Or, C = [tex]\frac{5\times 5}{4\times 4}[/tex]

∴ C = [tex]\dfrac{25}{16}[/tex]

I.e The value of C =  [tex]\dfrac{25}{16}[/tex]

Hence The value are

The value of A =  [tex]\dfrac{1}{16}[/tex]

The value of B = [tex]\dfrac{1}{16}[/tex]

The value of C =  [tex]\dfrac{25}{16}[/tex]

The value of D =  [tex]\dfrac{5}{4}[/tex]

Answer

Answer:

a=1 b=5 c=9

Step-by-step explanation:

Answer: answer is A

Step-by-step explanation:

Answer:

[tex]cos(60^o)=\frac{a}{12}[/tex]

Step-by-step explanation:

The complete question in the attached figure

we know that

In the right triangle of the figure

The cosine of the angle of 60 degrees is equal to divide the adjacent side to the angle of 60 degrees (BC) by the hypotenuse (AB)

so

[tex]cos(60^o)=\frac{BC}{AB}[/tex]

we have

[tex]BC=a\ units\\AB=12\ units[/tex]

substitute the values

[tex]cos(60^o)=\frac{a}{12}[/tex]

The correct equation that represents the side length is Cos 60 = a/12

From the triangle given, we have the following

Using the soh cah toa identity

Cos theta = adj/hyp

Cos 60 = a/12

Hence the correct equation that represents the side length is Cos 60 = a/12

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

Answer:

The percentage change in volume between cylinder A and cylinder B is 50%

Step-by-step explanation:

The volume of a cylinder is given by the formula

V= πr^2h

For cylinder A, where r=7 and h= 5, π=22/7

V= π * 7^2 * 5

V= π * 49 * 5

V= 769.69 cubic inch

For cylinder B

V= 490π

V= 1539.3804 cubic inch

The percentage change in volume between cylinder A and cylinder B

=[ (VA- VB)/VB] *100

=( 1539.3804 - 769.69) / 1539.3804

= 0.5000 * 100

= 50%

The percentage change in the volume between cylinder A and cylinder B is 50%

A cylinder is a three-dimensional object. It is a prism with a circular base.

volume of a cylinder = πr²h

π=  22/7

r = radius

h = height

Volume of cylinder A = π(7² x 5) = 245π

Percentage change in volume = (245 / 490) - 1 = 50%

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

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Answer:

44

Step-by-step explanation:

pay for 40 hours: 7.50 * 40= 300

pay for 1 hour of overtime pay: 1.5 * 7.5= 11.25 per hour

11.25 * 4= 45

45 + 300= 345  

40 + 4= 44

The right answer is Option E.

Step-by-step explanation:

Given,

Total number of students in school = 350

Students who walk to school = [tex]\frac{1}{5}\ of\ total\ students[/tex]

Number of students who walk to school = [tex]\frac{1}{5}*350[/tex]

Number of students who walk to school = 70

70 students walk to the school.

The right answer is Option E.

Keywords: fraction, division

Learn more about fractions at:

#LearnwithBrainly

Final answer:

The calculation shows that 70 students at Riverview Elementary walk to school.

Explanation:

The question is asking us to calculate what fraction of the total number of students at Riverview Elementary walk to school each day.

Since one fifth of the students walk to school, we need to divide the total number of students by 5 to find the number of students who walk to school.

To find one fifth of 350 students, we calculate:

350 ÷ 5 = 70

Therefore, 70 students walk to school each day at Riverview Elementary.

Answer:

[tex]f^{-1}[/tex](x) = x - 5

Step-by-step explanation:

Let y = f(x) and make x the subject

y = x + 5 ( subtract 5 from both sides )

y - 5 = x

Change y back into terms of x, thus

[tex]f^{-1}[/tex](x) = x - 5

Answer:

No.

Step-by-step explanation:

x+(-2)=-3+(-2)=-3-2=-5, not 5.

The inequalities that require flipping the sign are:

-5x - 10 > 5

[tex]\frac{x}{-7} + 3 \leq 4[/tex]

Solution:

Let us the inequalities one by one

You can perform on operations on both sides of inequality, and have its truth value unchanged

But if we multiply or divide by a negative number , we must flip the sign

-5x - 10 > 5

Move -10 from L.H.S to R.H.S

-5x > 5 + 10

-5x > 15

Divide the above expression by 5

[tex]-x > 3[/tex]

Divide the above inequality by -1, so we must flip the sign

x < -3

[tex]7x - 5 \leq 16[/tex]

Move the constant term from L.H.S to R.H.S

[tex]7x \leq 16 + 5\\\\7x \leq 21\\\\[/tex]

Divide the above inequality by 7

[tex]x \leq 3[/tex]

This does not required flipping the symbol

[tex]\frac{x}{5} - 6 > -11[/tex]

Move the constant term from L.H.S to R.H.S

[tex]\frac{x}{5} > -11 + 6\\\\\frac{x}{5} > -5[/tex]

Multiply both the sides by 5

[tex]x > -25[/tex]

This does not required flipping the symbol

[tex]x + 12 \leq 29[/tex]

Move the constant term from L.H.S to R.H.S

[tex]x \leq 29 - 12\\\\x \leq 17[/tex]

This does not required flipping the symbol

[tex]\frac{x}{-7} + 3 \leq 4[/tex]

Move the constant term from L.H.S to R.H.S

[tex]\frac{x}{-7} \leq 4-3\\\\\frac{x}{-7} \leq 1\\\\[/tex]

Multiply both the sides by -7, so we must flip the sign

[tex]x \geq -7[/tex]

Thus this requires flipping the sign

Answer: -5x - 10 > 5

Step-by-step explanation:

Answer:

x =15°

Step-by-step explanation:

Given that the horizontal line is 90° to the vertical line, then both the angles have to necessarily add up to 90° i.e

(5x-10)° + 25° = 90°

5x - 10 + 25 = 90

5x + 15 = 90  (subtract 15 from both sides)

5x = 90 - 15

5x = 75   (divide both sides by 5)

x = 75 / 5 = 15°

Answer:

Step-by-step explanation:

a + p = 165......a = 165 - p

1.75a + 2.5p = 337.50

1.75(165 - p) + 2.5p = 337.50

288.75 - 1.75p + 2.5p = 337.50

-1.75p + 2.5p = 337.50 - 288.75

0.75p = 48.75

p = 48.75 / 0.75

p = 65 <==== 65 lbs of peaches were sold

a + p = 165

a + 65 = 165

a = 165 - 65

a = 100 <=== there were 100 lbs of apples sold

check...

1.75a + 2.5b = 337.50

1.75(100) + 2.5(65) = 337.50

175 + 162.50 = 337.50

337.50 = 337.50 (correct)

The cost of adult and kid tickets, we set up two equations representing the total cost for separate groups and use the elimination method to solve the system of linear equations. Once we solve for one ticket type, we can use its value to find the cost of the other ticket type.

The problem presented is a system of linear equations where we have two unknowns: the cost of an adult ticket and the cost of a kid ticket. We can set up the two equations based on the given information:

40A + 26K = 486.70 (First group's total cost)

21A + 31K = 332.45 (Second group's total cost)

To solve this system, we can use either substitution or elimination methods. For simplification, let's use the elimination method:

Multiply the second equation by 2: (2 x 21A) + (2 x 31K) = 2 x 332.45, which gives us 42A + 62K = 664.90.

Now subtract the first equation from this new equation: (42A + 62K) - (40A + 26K) = 664.90 - 486.70, resulting in 2A + 36K = 178.20.

Divide the entire equation by 2: A + 18K = 89.10.

We now have an easier equation to work with along with our original first equation.

To find the value of one variable, we could substitute the value of A from the first equation (using the second simplified equation) into the second equation and solve for K.

Once we have the value of K, we can substitute it back into either original equation to solve for A.

These steps will give us the exact cost of an adult ticket (A) and a kid ticket (K).

You can use the fact that 1 quart is equal to 32 ounces.

Next, you can use the division fact, 32 divided by 4 equals 8.

And so, Celia can make 8 smoothies.

Answer:

angle bisector

Step-by-step explanation:

Definitions:

median: line that meets the middle of VX

angle bisector: line that cuts angle Y in half

altitude: line that meets VX at 90°

perpendicular bisector: line that meets VX at 90° and the middle of VX

YW does not meet VX at 90° and does not meet it in the middle. Without measurements or symbols, angle Y seems to be cut in half.

Answer:

d=125

Step-by-step explanation

edge 2020

The value of d, which is the bottom right angle formed on line s when cut by transversal q, is 125 degrees due to the alternate exterior angles being congruent on parallel lines.

When two parallel lines are crossed by a transversal, certain angles are equal due to the properties of parallel lines. The upper left angle on line s when intersected with the transversal q is given as 125 degrees; this is the alternate exterior angle relative to the bottom right angle formed on line s also intersected by q, which is known as d degrees in the question.

According to the alternate exterior angles theorem, these two angles are equal because the lines r and s are parallel. Therefore, the bottom right angle on line s, or d degrees, is also 125 degrees, because alternate exterior angles are congruent when two parallel lines are cut by a transversal.

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Answer: 133.33

Just do 108/81x100 to get 133.33

Hope this helps!

Answer:

75%

Step-by-step explanation:

Answer:

61 miles.

Step-by-step explanation:

Given: driving north for 11 miles and drive east for another 60 miles.

As given in the question, the travelling pattern show a right angle triangle, where hypotenuse line is the way to return back directly to starting point. As shown in picture attached.

∴ we can say, adjacent (a) is 11 miles and opposite (b) is 60 miles

Now, using Pythagoras theorem to get distance to return.

[tex]h^{2} = a^{2} +b^{2}[/tex]

⇒ [tex]h^{2} = 11^{2} +60^{2}[/tex]

⇒ [tex]h^{2} = 121+3600= 3721[/tex]

⇒ [tex]h= \sqrt{3721}[/tex]

∴[tex]h= 61[/tex]

∴ 61 miles need to be travel to return back directly to starting point.

Answer:

Step-by-step explanation:

1 1/4 (or 1.25) cups to 20 servings = 1 gallon (16 cups) to x servings

 1.25        16

--------- = --------  cross multiply

 20           x

(1.25)(x) = (20)(16)

1.25x = 320

x = 320/1.25

x = 256 servings <===

Answer:

AB ║ CD. (Proved)

Step-by-step explanation:

See the attached diagram of the triangle.

It is given that Δ ACD is an isosceles triangle.

Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)

Again, given that ∠ 1 = ∠ 3 ........... (2)

Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4

Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.

Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)

Answer:

You use the Pythagorean theorem.

Step-by-step explanation:

https://math.stackexchange.com/questions/33549/calculating-the-distance-from-top-left-corner-to-bottom-right-corner-on-a-rectan

The volume of the square pyramid is: 3072 ft³

What is the volume of the square pyramid?

The volume (V) of a square pyramid can be calculated using the formula:

V = ⅓ × base area × height

The base area of a square pyramid is given by the formula:

base area = base edge²

Given that the base edges (a) is 24 ft and the slant height (s) is 20 ft, we can calculate the height (h) of the pyramid using the Pythagorean theorem.

h = √(20² - (24/2)²)

h = √256

h = 16 ft

Thus:

Volume = ⅓ * 256 * 16

Volume = 3072 ft³

Answer:

164 and one over two

Step-by-step explanation:

47 over 8 *28

=1316 over 8

=164 and four over eight

=164 and one over two

[tex] \frac{47}{8} \times 28 \\ = \frac{1316}{8} \\ = 164 \frac{4}{8} \\ = 164 \frac{1}{2} [/tex]

Hope that helps

We are given, [tex]P_1(x_1,y_1)[/tex] and [tex]P_2(x_2,y_2)[/tex] where [tex]P_1(2,2),P_2(0,1)[/tex].

Using slope formula we obtain

[tex]m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-2}{0-2}=\dfrac{-1}{-2}=\boxed{\dfrac{1}{2}}[/tex]

Hope this helps.

Answer:

1/2

Step-by-step explanation:

I took the test :)

Answer:

Step-by-step explanation:

The formula for simple interest is

I = Prt,

where I is the interest earned,

P is the initial investment amount,

r is the interest rate in decimal form, and

t is the time in years.  For us,

I = 75,

P = ?

r = .05

t = 1

Filling in what we were given:

75 = P(.05)(1) and

.05P = 75 so

P = 1500