2. What percent of 21 is 28?

Answer: 28 Dimes and 45 Nickles

Step-by-step explanation:

See attachment.  

Let the number of dimes and nickles be D and N.  Use the unit of pennies.

We are told:  N = D + 17  

The total of 505 cents is the sum of 10D and 5N :  10D + 5N = 505

Use N = (D+17) in the above equation.

10D + 5(D+17) = 505  

15D + 85 = 505  

15D = 420  

D = 28

Since N = D + 17, N = 45

Check:  

10D + 5N = 505 ?

10(28) + 5(45) = 505

280 +  225 = 505  It works.

Answer:12.5 meters

Step-by-step explanation:

(2.5 m/s)*(5 sec) = 12.5 meters

None of the offered answers are correct.

Answer:

it's the middle one

Step-by-step explanation:

Answer:16 perhaps

Step-by-step explanation:

add 4 and 12. also i am sorry if this is incorrect. if its right mark me as brainliest please.

Answer: Equation: 3x+4=12x-14

x=2

Step-by-step explanation:

3x+4=12x-14

18x=9

x=2

Answer:

Make me as brain liest plz

The perimeter of triangle DEF is; 30 cm

We are given dimensions of Triangle ABC as;

Thus;

Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm

We are told that Triangle DEF is similar to Triangle ABC.

This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.

Side EF corresponds to side BC. Thus;

Perimeter of Triangle DEF/22.5 = 8/6

Cross multiply to get;

Perimeter of Triangle DEF = (22.5 × 8)/6

Perimeter of Triangle DEF = 30 cm

Read more on similar triangles at; https://brainly.com/question/14285697

Answer:

3/2

Step-by-step explanation:

Answer:

$1102.50

Step-by-step explanation:

The appropriate compound interest formula is

A = P(1 + r)^t, where P is the principal ($1000), t is the number of years, and r is the interest rate as a decimal fraction.

Here A = $1000(1 + 0.05)^2  =  $1000(1.05)^2 = $1102.50

Answer:

B) Graph B

Step-by-step explanation:

The quadratic equation in vertex form is represented by: y = a(x - h)² + k, where:

(h, k) = vertex

x = h : axis of symmetry

a = indicates a reflection in the x-axis; it also determines the graph's vertical stretch or shrink.

h =  indicates a horizontal translation.

k =  indicates a vertical translation.

Given the given quadratic equation, y = (x - 2)² - 16:

The vertex occurs at point, (2, -16), and a = 1. Since the value of a is positive, then it implies that the graph opens upward, and the vertex is its minimum point.  The axis of symmetry occurs at h = 2.

To determine another point to use as a reference (and also for graphing) is solving for the equation's y-intercept, which is the point where it crosses the y-axis (where x = 0).

Y-intercept: set x = 0:

y = (x - 2)² - 16

y = (0 - 2)² - 16

y = (-2)² - 16

y = 4 - 16

y = -12

Therefore, the y-intercept is (0, -12).

Therefore, the graph that matches these given descriptions is Graph B.    

Attached is the graphed quadratic equation where it shows the vertex, y-intercept, and the axis of symmetry.

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually

Answer:

5 : 2

Step-by-step explanation:

ivide both terms by the GCF, 81:

405 ÷ 81 = 5

162 ÷ 81 = 2

The ratio 405 : 162 can be reduced to lowest terms by dividing both terms by the GCF = 81 :

405 : 162 = 5 : 2

Therefore:

405 : 162 = 5 : 2

pls marrk brainliest

Answer:

y=0

Step-by-step explanation:

Answer:

Total teachers = 150

Step-by-step explanation:

Let total teachers = x

12% of x = 18

[tex]\dfrac{12}{100}*x = 18\\\\\\x= 18*\dfrac{100}{12}=18*\dfrac{25}{3}\\\\\\x = 6*25\\\\x = 150[/tex]

_________

[tex]\:[/tex]

12%.x = 18

x = 18 × 100/12

x = 1.800/12

x = 150

Answer:

B. (x-3)^2

Step-by-step explanation:

x^2-6x+9 = (x-3)^2

(a-b)^2=a^2-2ab+b^2

(a+b)^2=a^2+2ab+b ^2

Answer:

is there a picture

Step-by-step explanation:

Answer:

I think the answer is OP=PQ

The correct equation will be OP = PQ.

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given that, there is a line segment, OQ, and the point P is the midpoint of the line segment,

We need to determine the relation between OP and PQ,

So, according to the definition of midpoint, the midpoint divides the segment into two equal halves,

Therefore,

OP = PQ

Hence the correct equation will be OP = PQ.

Learn more about midpoints, click;

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Answer:

equal

equal

non equal

non equal

equal

Step-by-step explanation:

Answer:

yes the person below is right it is 22 you just multply and add

Step-by-step explanation:

Answer:

x = 2 and - 7 that is the answer

Answer:x=6 y=34

x=8 y=44

x=9 y=49

x=10 y=54

Step-by-step explanation:

x        y

6       34         6*5+4=34

8       44         8*5+4=44

9       49         9*5+4=49

10      54        10*5+4=54

Answer:

a= 90

2a= 135

b=45

c= 45

I think x

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 180-114=66

66+90=156

180-156=24

Answer:

B

Hope I helped

The missing length of the given triangle divided into two right-angled triangle is 24.

The ratio 60:36:x is a ratio of 2:1:x. This means that the ratio of the lengths of the three segments is 2:1:x. The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.

Here is the solution in more detail:

The ratio 60:36:x can be written as 2:1:x.

This means that the ratio of the lengths of the three segments is 2:1:x.

The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.

Therefore, the missing length is 24.

To learn more about length here:

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Answer:

834

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

we have formula total /100* percentage of sand dollars

smaller --- x

larger ---- x+10

x(x+10) = 56

x^2 + 10x = 56

x^2 + 10x + 25 = 56 + 25

(x+5)^2 = 81

x+5 = 9

x=4

one is 4, the other is 14

Hope this helps you!

Answer:

x=33 ; y=23

Step-by-step explanation:

Given that x+y=56 and x-y=10

Solve for either variable.

x=y+10

Substitute, replace, your solved variable in the other equation

(y+10)+y=56    Subtract 10 on both sides

2y=46     Divide by 2

y=23        Substitute answer into a given equation

x+23=56    Subtract 23 on both sides

x=33

Answer:

∠ A = 59°, ∠ B = 48° , ∠ C = 73°

Step-by-step explanation:

The interior angles of a triangle sum to 180°

sum the 3 angles and equate to 180

x + x - 11 + 73 = 180

2x + 62 = 180 ( subtract 62 from both sides )

2x = 118 ( divide both sides by 2 )

x = 59

Then

∠ A = x = 59°

∠ B = x - 11 = 59 - 11 = 48°

∠ C = 73°

Answer:

<A = 149*

<B = 138*

<C = 73*

Step-by-step explanation:

There are 360* total inside a triangle.

We subtract 73 from 360 to find the combined number of both angles a and b.

360-73 equals 287, so we know that both angles a and b add up to equal 287.

Since angle a equals x and angle b equals x - 11, we would combine the two expressions to find x. When we find x, it will allow us to know what both angles a and b equals to. So we combine x and x- 11, set it equal to 287, and solve for x.

x + x - 11 = 2x-11.

287 = 2x - 11

(Add eleven to both sides)

298 = 2x (divide both sides by two)

X = 149

Since angle a equals x, we know that angle a Is 149*.

And since angle b is x - 11, we take 149, subtract it by 11, and we get 138.

Answer:

x = 72° , y = 54°

Step-by-step explanation:

x and 108° are adjacent angles on a straight line and sum to 180°

x + 108° = 180° ( subtract 108° from both sides )

x = 72°

The vertex of the triangle on the left is vertically opposite x and is congruent

vertex = 72°

The sum of the 3 angles in the triangle = 180° , that is

y + y + 72° = 180°

2y + 72° = 180° ( subtract 72° from both sides )

2y = 108° ( divide both sides by 2 )

y = 54°

Answer:

so the answer is y=54°

Step-by-step explanation:

that is my answer hope it helps