Last year, 11 students tried out for the
debating team. This year 15 students tried
out. What was the percent of increase in the
number of students who tried out?

Answer:

y = 5/7 x

y = 7/9 x

y = 3/4 x

Step-by-step explanation:

Firstly, let us get the unit rate on the table

That would be;

y/x = 2/3

y = (2/3)x

so the fractions greater than 2/3 will

be our answer

3/4 is greater

7/9 is greater

5/7 is greater

9514 1404 393

Answer:

  (h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

  (h, k) = (9, -8) . . . . the values of h and k

Answer:

STEP   1

Equation at the end of step 1

 (((x3) -  22x2) -  11x) +  30

STEP  2

Checking for a perfect cube

2.1    x3-4x2-11x+30  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2-11x+30  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -11x+30  

Group 2:  x3-4x2  

Pull out from each group separately :

Group 1:   (-11x+30) • (1) = (11x-30) • (-1)

Group 2:   (x-4) • (x2)

Answer:

[tex]x^{10}[/tex]

Step-by-step explanation:

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

12 - 2 = 10

So,

[tex]x^{10}[/tex] is the correct answer.

Hope this helps! ^^

Answer:

Option A

Step-by-step explanation:

According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,

[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]

NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.

According to the question ,

Coordinate of C = (2 , -1)

Coordinate of D = (5 , 3)

Using distance formula ,

[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]

[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

Answer: i believe Z=115 and Y=30

Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.

Answer:

B. Diameter is the answer.

Answer:

24 miles UwU

Step-by-step explanation: G'day mate!

Answer:

is there a picture to go with the problem?

look at the step by step explanation.

Step-by-step explanation:

Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.

Answer:

Complicated answer.

Step-by-step explanation:

So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.

1. The perimeter is actually 24

2. The side lengths are actually 4

Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!

Answer:

Height of the building = 77 ft.

Step-by-step explanation:

Let the height of the building (AB) = h feet

It's given that height of a woman (ED) = 5 feet 3 inches

                                                              ≈ 5 feet + [tex]\frac{3}{12}[/tex] ft

                                                              ≈ 5.25 ft

Length of the shadow (BC) of the building = 55 ft

Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft

Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.

By the property of similar triangles,

[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]

[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]

h = [tex]\frac{55\times 5.25}{3.75}[/tex]

h = 77 ft

Therefore, height of the building will be 77 ft.

Answer:

(2,-2)

I hope this helps:

Answer:

[tex]\frac{4}{25}[/tex] of a bag.

Step-by-step explanation:

Answer:

One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.

The rest of the equation seems to indicate the latter, so we'll solve both:

If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.

If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.

Step-by-step explanation:

Interpretation #1:

[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]

Interpretation #2:

Here the question is much simpler, as we need only add the exponents when adding and dividing:

[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]

Answer:

65 1/2 or 65.5

Step-by-step explanation:

3/2 = 1.5 or 1 1/2

Answer:

65 1/2

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

4(-3) + 7

-12+7

Answer:

f(-3) = -5

Step-by-step explanation:

f(x) = 4x + 7

f(-3) = 4(-3) + 7

f(-3) = -12 + 7

f(-3) = -5

Answer:

5:8

Step-by-step explanation:

You have to combine the yellow and blue then put the blue amount in front.

Answer:

124.80 ft

Step-by-step explanation:

Height of Daniel = 6 ft

The angle of elevation from his eyes to the top of the statue is = 68°

Daniel is 48 ft away from the base of the statue

To find the height of the statue apply the tangent of an angle formula then add height of Daniel as;

Tan 68° = h/48

h= {48 tan 68°} + 6 ft

h= 124.804168964

h= 124.80 ft

Answer:

10105

1542

Step-by-step explanation:

Answer: 409.6

Step-by-step explanation:

Let the total number of sixth grade students be represented by x.

We are further told that 5/8 of the sixth grade students at clearview middle school buy their lunch which was about 256 students. We can represent this into an equation as:

5/8 × x = 256

0.625x = 256

x = 256/0.625

x = 409.6

Answer:

[tex]\approx 26.16\:\mathrm{m}[/tex]

Step-by-step explanation:

Let [tex]h[/tex] be the height of the tree. In reference to the tree and bird, a right triangle is formed. We can write the following trig function for that right triangle:

[tex]\tan28^{\circ}=\frac{h}{15},\\h=15\tan28^{\circ},\\h\approx 7.98\:\mathrm{m}[/tex].

Now we can use this to find the hypotenuse of this triangle (the distance between the cat and the bird):

Let the distance between the cat and bird be [tex]k[/tex]. Then,

[tex]7.98^2+15^2=k^2,\\k\approx 16.99\:\mathrm{m}[/tex]. This is one side of the triangle that is formed by the cat, bird, and mouse.

The right triangle formed by the tree, cat, and mouse shares the height [tex]h[/tex] with the other right triangle, as we found earlier. Let [tex]l[/tex] represent the hypotenuse of this triangle or the distance between the cat and mouse. We then have the following trig function:

[tex]\sin 40^{\circ}=\frac{7.98}{l},\\l=\frac{7.98}{\sin40^{\circ}}\approx 12.41\:\mathrm{m}[/tex]. This is another side of the triangle that is formed by the cat, bird, and mouse.

The triangle that is formed by the cat, bird, and mouse has shares an angle of [tex]125^{\circ}[/tex] with the base of the auxiliary pyramid. The other angles, however, are not shared.

Since we have two sides and the angle between these two sides, we can use the Law of Cosines to find the other side (the distance between the mouse and bird). The Law of Cosines is given by:

[tex]m^2=k^2+l^2-2kl\cos M[/tex], where [tex]m[/tex] is the distance between the bird and the mouse and the other variables are defined above.

Plugging in values, we get:

[tex]m^2=16.99^2+12.41^2-2\cdot16.99\cdot12.41\cdot\cos 125^{\circ}[/tex]

Solving, we get:

[tex]m\approx \fbox{$26.16\:\mathrm{m}$}[/tex].

Answer:

Ben has 8 dimes and 7 quarters.

Step-by-step explanation:

Given that:

Number of coins = 15

Worth of coins = $2.55 = 2.55 * 100 = 255 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement,

x+y=15     Eqn 1

10x+25y=255     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=15)

10x+10y=150     Eqn 3

Subtracting Eqn 3 from Eqn 2

(10x+25y)-(10x+10y) = 255 - 150

10x+25y-10x-10y=105

15y=105

Dividing both sides by 15

[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]

Putting y=7 in Eqn 1

x+7=15

x=8

Hence,

Ben has 8 dimes and 7 quarters.

Answer:

C = 2π22 = 138.230076

138.230076 X 11 = 1520.53084

π22^2 = 1520.53084

1520.53084 + 1520.53084 = 3041.06168

3041.0 cm squared

divide by 100 = 30.41

30.41 X 0.2 = 6.082

$6.08

he must take less expensive

Answer:

1400/100 x 2.25 = $31.50

Answer:

All answers expect CD

Step-by-step explanation:

A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD  are a radius  because it half of diameter,  AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C

CD is the diameter.

Answer:

1/8

Step-by-step explanation:

Let

The total fraction of the book read = 1

The remaining 4 days be represented as= x

Hence:

1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days

1 = 1/6+ 1/3 + x

x = 1 - (1/6+ 1/3)

x = 1 - (1 + 2/6)

x = 1 - (3/6)

x = 1 - 1/2

x = 1/2

The fraction of the book read in 4 days = 1/2

To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:

1/2 ÷ 4 days

= 1/2 × 1/4

= 1/8

Therefore, the fraction of the book that was read on each of the 4 days is 1/8

Answer:

he donated 1/6 of the total land to charity

Step-by-step explanation:

1/2 went to daughter

1/3 went to daughter

combined, this equals 5/6 of the total land

this leaves 1/6 to be donated

If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.

Answer:

The answer is D

Step-by-step explanation:

Answer:

C=0.55M+24.65

Step-by-step explanation:

0.40M+0.15M=0.55M

18.95+5.70=24.65