25 is what percent of 125?

40 is 25% of what number?

What number is 60% of 200?

Find 16% of 25

50 is ______% of 500

30 is 40% of what?

What is 140% of 20?

600 is 300% of what?

45% of the class is girls. There are 90 girls in the class. How many students are in the class?

40% of the voters voted for Jimmy B. 80 million people voted. How many votes did he get?

300 middle schooler’s vote on their favorite sport. 60 of them like hockey. What percentage of the students like hockey?

Answer:

[tex]\huge\boxed{1.\ -120,\ -240}\\\boxed{2.\ \dfrac{10}{3},\ \dfrac{10}{9}}\\\boxed{3.\ \dfrac{27}{32},\ \dfrac{81}{64}}[/tex]

Step-by-step explanation:

[tex]\text{if}\\a_1,\ a_2,\ a_3,\ ...\text{is a geometric sequence}\\\text{then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=const.=r\\\\a_n=a_{n-1}r[/tex]

[tex]1.\\-15,\ -30,\ -6\\\\\dfrac{-30}{-15}=-2;\ \dfrac{-6}{-30}=\dfrac{1}{5}[/tex]

it,s not a geometric sequence...

I think it should be:

[tex]-15,\ -30,\ -60,\ ...\\\\\dfrac{-30}{-15}=2;\ \dfrac{-60}{-30}=2\\\\next\\\\-60\cdot2=-120\\-120\cdot2=-240[/tex]

[tex]2.\\90,\ 30,\ 10,\ ...\\\\\dfrac{30}{90}=\dfrac{1}{3};\ \dfrac{10}{30}=\dfrac{1}{3}\\\\next\\\\10\cdot\dfrac{1}{3}=\dfrac{10}{3}\\\\\dfrac{10}{3}\cdot\dfrac{1}{3}=\dfrac{10}{9}[/tex]

[tex]3.\\\dfrac{1}{4},\ \dfrac{3}{8},\ \dfrac{9}{16},\ ...\\\\\dfrac{\frac{3}{8}}{\frac{1}{4}}=\dfrac{3}{8}\cdot\dfrac{4}{1}=\dfrac{3}{2};\ \dfrac{\frac{9}{16}}{\frac{3}{8}}=\dfrac{9}{16}\cdot\dfrac{8}{3}=\dfrac{3}{2}\\\\next\\\\\dfrac{9}{16}\cdot\dfrac{3}{2}=\dfrac{27}{32}\\\\\dfrac{27}{32}\cdot\dfrac{3}{2}=\dfrac{81}{64}[/tex]

Answer:

Approximately 17 bags.

Step-by-step explanation:

The length of the bag of mulch = 3.2 ft

The width of the bag of mulch = 2.5 ft

The thickness of the bag of mulch = 3 inch = 0.25 ft

Volume of a bag of mulch = length x width x thickness

                                          = 3.2 x 2.5 x 0.25

                                          = 2 cubic feet

So that, the volume of a bag of mulch is 2 cubic feet.

The area to be covered = 100 square feet

The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet

volume of the portion to be covered = area x depth

                                                = 100 x [tex]\frac{1}{3}[/tex]

                                                = 33 [tex]\frac{1}{3}[/tex] cubic feet

The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.

The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]

                                                       = 16[tex]\frac{2}{3}[/tex]

                                                   = 16.6667

The number of bags of mulch needed is 17.

Answer:

i did the first

Step-by-step explanation:

1st way

Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5

y = -2/3*X^2-16/3*X-17/3

X = -4 ±√( 15/2) = -6.7386, or -1.2614

Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)

two real roots: X=-1.2613872124776866 and -6.738612787477313

Answer:

Step-by-step explanation:

Vertex form is:

Vertex of the function is point (h, k)

b) Congruent to y = 2/3x² and opens down means:

Maximum value at (-4, 5) means:

The function is:

c) Congruent to y = 1/2x² and has minimum value y = -5 at x = -8:

The function is:

d) Vertex (-7, -2) and passes through the point (-3, 4)

Substitute coordinates and find a:

The function is:

Answer: -270

Step-by-step explanation:

First, simplify the exponent

[tex]-6*(25+20)[/tex]

Then, distribute

[tex]-150+-120[/tex]

Then, subtract(add a negative)

[tex]-270[/tex]

Hope it helps <3 :)

Answer:

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

The length of AC is 5 units.

Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given the diagram of ΔABC which is right-angled.

BE is perpendicular to AC.

AE² + EB² = 9 ...(i)

BE² + EC² = 16 ..(ii)

By using the Pythagoras theorem in ΔABE:

AE² + EB² = AB²

From comparing with eq (i)

AB² = 9

AB = √9 = 3 units

By using the Pythagoras theorem in ΔCBE:

BE² + EC² = BC²

From comparing with eq (ii)

BC² = 16

BC = √16 = 4 units

By using the Pythagoras theorem in ΔABC:

AB² + BC² = AC²

AC² = 3² + 4²

AC² = 9 + 16 = 25

AC = 5 units.

The length of AC is 5 units.

Hence, The length of AC is 5 units.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ2

Answer:

[tex]x = \frac{360}{11} [/tex]

[tex]y = \frac{60}{11} [/tex]

Step-by-step explanation:

Since 6y=x plug 6y in for x on the top equation.

[tex]2(6y) - y = 60[/tex]

[tex]12y - y = 60[/tex]

[tex]11y = 60[/tex]

[tex]y = \frac{60}{11} [/tex]

Plug y=60/11 into 6y=x

[tex]6( \frac{60}{11} ) = x[/tex]

[tex] \frac{360}{11} = x[/tex]

Plug 360/11 into 2x-y=60

[tex]2( \frac{360}{11} ) - \frac{60}{11} = 60[/tex]

[tex] \frac{720}{11} - \frac{60}{11} = 60[/tex]

[tex] \frac{660}{11} = 60[/tex]

The identity is true

Answer:

30 degrees

Step-by-step explanation:

180 - 120 = 60

60 / 2 = 30

Hope that helps!

Answer: 30°

Step-by-step explanation: because math

Answer:

D) 42

Step-by-step explanation:

48 x 2= 96

180 - 96 = 84

84/2 = 42

Answer:

(3c−2d)(2a+b)

Step-by-step explanation:

3bc−4ad+6ac−2bd

Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.

2a(3c−2d)+b(3c−2d)

Factor out common term 3c−2d by using distributive property.

(3c−2d)(2a+b)

Answer:

y=5/6x+b

Step-by-step explanation:

use formula (y2-y1)/(x2-x1) to look for the slope:

(8-(-2))/(6-(-6))

=10/12

=5/6 (simplified)

then, use the formula y=mx+b to get the equation by substituting m and x, y to either (-6, -2) or (6, 8):

8=5/6(6)+b

8=5+b

3=b (subtract 5 on both sides)

equation:

y=5/6x+3

Answer:

5n-3

Step-by-step explanation:

hope i am right

Answer:

hi

Step-by-step explanation:

i translated your question…

and

[tex]x - 4 = 5 \\ x = 5 + 4 \\ x = 9[/tex]

[tex]3 - x = - 4 \\ x = - 4 - 3 \\ x = - 7[/tex]

[tex]5 - x = 7 \\ x = 7 - 5 \\ x = 2[/tex]

hope it helps

Have a nice day bye

Answer:

Step-by-step explanation:

0.226 gram.

Answer:

The answer is 3 because its a constant value and the rest are variables

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the weight of 90 books is 50kg. We need to get the weight of a book first and this will be:

= 50/90

= 5/9

Therefore, the weight of 180 such books will be 5/9 multiplied by 180. This will be:

= 5/9 × 180

= 100kg

Answer:

A little more than 3 times

Step-by-step explanation:

Answer:

The answer is 170 meters

Step-by-step explanation:

hope it helps :)

Answer:

hcf:3x^3-6x^2+y^2-3x+54

lcm:2(x+3)(x^2-3x+9)(x^3-3x^2+9)(y^2-3x+9)

Answer:

9

Step-by-step explanation:

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

Answer:

34 + x = 70 ; 36

Step-by-step explanation:

Given that:

Current amount = 34

Final amount = 70

Number of roses planted by the workers today ;

Current amount + number planted today = final amount

Let number planted today = x

34 + x = 70

x = 70 - 34

x = 36

Answer:

x=24

Step-by-step explanation:

$;$"+";$;";";'+$-$$+$+$+_+

Answer:

Acceleration and velocity

Newton's second law says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate. In the simplest case, a force applied to an object at rest causes it to accelerate in the direction of the force.

Answer:

Step-by-step explanation:

4=2(2), 6=2(3) so the lcd is 2(2)3=12

Answer:

$6,937.50

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 25000(.0925)(3)

Answer:

15

Step-by-step explanation:

5*6=30

8*4=32

30*16=480

480/32=15