Write all factors of 21

[tex] \frac{1}{15} + \frac{1}{5} + \frac{1}{3} [/tex]

the simplest form.

[tex] \frac{1}{15} + \frac{1 \times 3}{5 \times 3} + \frac{1 \times 5}{3 \times 5} [/tex]

[tex] = \frac{1}{15} + \frac{5}{15} + \frac{3}{15} [/tex]

[tex] = \frac{1 + 3 + 5}{15} [/tex]

[tex] = \frac{9}{15} [/tex]

[tex] = \frac{3}{5} [/tex]

therefore, the correct answer is option A.

Answer:

Linear Equation: y=-44000x+88922000

Year 2009: $526000

By year 2021, they have no more fund

Step-by-step explanation:

Slope formula is difference of y/difference of x. 79000-70200/2003-2005=

-88000/2=-44000.

To find the y intercept, x=0.

It should be year 0. 44000x2003=88132000+790000=88922000

Now put it into y=mx+b

y=-44000x+88922000

Plug in 2009.

It should equal 526000.

Answer:

two and D plus seven

Thats what i believe it is.

OOPS I SENT IT IN BY MISTAKE I MEANT:

two and a number plus seven

I was breaking it down my bad

Answer: Frank went to the store and purchased $7 of merch. He later went to the supermarket and bought 2 packages of blueberries. How much money did he spend in total?= 2d+7

Step-by-step explanation:

Hope you understand!

Answer:

the answer for your question is "It's a cuboid"

Answer: Rectangular Prism

Step-by-step explanation:

Rectangular faces ✔️

8 vertices (4 on each side) ✔️

Solid figure ✔️

Answer:

Step-by-step explanation:

Perimeter is sum of all the sides.

Perimeter = 9f + g + 5f + 9h + 2h + 7g

                 = 9f + 5f + g +7g + 9h + 2h   {Combine like terms}

                 =  14f + 8g + 11h

Answer:

A) increasing by 9% each year

B) Account B

Step-by-step explanation:

[tex]f(x)=1264(1.09)^x[/tex]

Part A

The amount of money in account A is increasing by 9% each year.

General form of an exponential function:  [tex]f(x)=ab^x[/tex]

[tex]a[/tex] is the initial value, [tex]b[/tex] is the growth factor and [tex]x[/tex] is time.

As b = 1.09 > 1 then the function is increasing

[tex]b[/tex] is the decimal form of percentage change.

Therefore, for b > 1, percentage increase = b - 1

for b < 1, percentage decrease = 1 - b

So as b = 1.09 > 1, percentage increase = 1.09 - 1 = 0.09 = 9%

Part B

From inspection, the amount in account B is increasing exponentially.

Therefore, we can use [tex]y=ab^x[/tex]

To determine the growth factor [tex]b[/tex], divide one value of g(r) by its previous value:

[tex]\implies b=\dfrac{1512.50}{1375}=\dfrac{11}{10}=1.1[/tex]

[tex]\implies g(r)=a(1.1)^r[/tex]

To determine [tex]a[/tex], input a pair of values (r, g(r)) into the equation and solve:

[tex]\implies 1375=a(1.1)^1[/tex]

[tex]\implies a=\dfrac{1375}{1.1}=1250[/tex]

Therefore, the equation for account B:  [tex]g(r)=1250(1.1)^r[/tex]

Comparing the growth factor [tex]b[/tex] of both equations, account B recorded a greater percentage change in amount of money over the previous year since 1.1 > 1.09

Answer:

45°

Step-by-step explanation:

A circle is worth 360°. If you were to cut it into eights, you would be dividing 360 by 8, too.

Thus, the answer is 45°.

Answer:

Add f(x) = y.

Step-by-step explanation:

Desmos won't like this equation because it says you will need to define
"some of the variables". Assuming you want f(x) to be equal to a x=y line, you can add another equation where you denote f(x) to be equal to y.

Step-by-step explanation:

I hope this helps........

Add or Mulitaply or divoin that is really the main thing you have to do

Step-by-step explanation:

Answer: 9 x 5 1/3

Step-by-step explanation: 9 x 5 1/3 = 9 x 16/3 which can be simplified to 3 x 16 = 48.

Answer:

2 and 4

Step-by-step explanation:

1% of 72 is 0.72
0.72 * 40

is 28.8

10% of 72 is 7.2

7.2 * 4 is also 28.8

40% of 70 is 28.8

Answer:

[tex] x = 67.5 \degree[/tex]

Step-by-step explanation:

[tex]x + 3x + 90 \degree = 360 \degree \\ \\ \implies \: 4x = 360 \degree - 90 \degree \\ \\ \implies \: 4x = 270 \degree\\ \\ \implies \: x = \frac{270 \degree}{4} \\ \\ \implies \: x = 67.5 \degree[/tex]

Answer:

420+15+510+17=962

Step-by-step explanation:

Answer:

23,21 pounds

Step-by-step explanation:

4387/189 = 23,21

Answer:

you should extend the new wheel out by .75 cm

Step-by-step explanation:

2.75 + .75 = 3.5

Answer:

Number of students in 6th grade = 29

Number of boys = 15

Number of girls = 29-15 = 14

Ratio of boys to girls = 15 : 14

Step-by-step explanation:

smchmack me with dat brainliest

Answer:

15:14

Step-by-step explanation:

15 boys

total 29

29-15=14 because the rest of the class would have to be girls

Step-by-step explanation:

14.

G must be congruent to B (the vertexes with the right angle).

and then

GH = GF = CB = AB (they are both isoceles triangles meaning both legs have the same length, and then these legs must be congruent bergen the triangles, so, in fact, all 4 sides must have equal length).

therefore,

5y mm = 25 mm

y = 5

(2x + 5) mm = 25 mm

2x + 5 = 25

2x = 20

x = 10

(3z + 14) mm = 35 mm

3z + 14 = 35

3z = 21

z = 7

Answer:

y = 17

17 - 6 is 11, so 17 would be the only number convenient.

Answer:

y = 17!

Step-by-step explanation:

11 + 6 = y - 6 + 6

h(x) = x+3-----(1)

put your value (-7)

into equ. (1) as x

h(-7) = 7+3

h(-7) =10

Answer:

yes you are, good job !

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Pythagorean theorem is sqrt(a^2 + b^ 2) = c, so:

sqrt(22^2 + 8^2) = c

sqrt(548) = c

23.41 = c

Answer:

100g : 60g : 80g

Step-by-step explanation:

5+3+4 =12 total parts

(5/12 of 240)

5/12 x 240 = 100g

3/12 x 240 = 60g

4/12 x 240 = 80g

Check:

100g + 60g + 80g = 240g

Hope this helps!

Answer:

if it were an equation it would be y = mx + b and B would be the y intercept and mx is slope.

Step-by-step explanation:

Hey there!

The y-intercept is

b

Remember Slope-Intercept form, where

m is the slope

b is the y-intercept

I hope you find my answer helpful.

Good luck!

Have a great day!

~Stars~

Answers:

=========================================================

Explanation:

Problem 1

Focus on one of the triangles (they're identical copies of each other).

Each triangle is a 30-60-90 triangle.

The hypotenuse is 8 which cuts in half to 4 to be the short leg.

The long leg is [tex]\sqrt{3}[/tex] times that of the short leg, meaning the long leg is [tex]4\sqrt{3}[/tex] inches long.

The area is therefore length*width = [tex]4*4\sqrt{3} = 16\sqrt{3}[/tex] square inches.

------------------------------

Problem 2

For a 30-60-90 triangle, the short leg x doubles to 2x when getting the hypotenuse. Only choice A fits with this description when going from 2 to 4.

------------------------------

Problem 3

The legs of a 45-45-90 triangle are the same length. This narrows our answer choices to B and D. We can conclude the final answer is B since the hypotenuse is exactly [tex]\sqrt{2}[/tex] units longer compared to the leg length.

------------------------------

Problem 4

A 30-60-90 triangle forms.

The 60 degree angle is between the ladder and the horizontal ground. The 30 degree angle is placed up top. Opposite the 30 degree angle is the horizontal side, which is of length of 7 feet mentioned. Doubling this gets to 2*7 = 14 feet and it's the hypotenuse.

Step-by-step explanation:

We're going to be diving -12 by -4.

What do we need to know?

Integer Rule - when 2 negative numbers multiply or divide, the product/quotient is positive.

Solve using the integer rule:

[tex]-12 \div -4 =3[/tex] is the same as [tex]12 \div 4 = 3[/tex]

3 is your quotient.

Answer:

1. 60

2. 70

3. 30

Step-by-step explanation:

Hope this helps!!!!

Step-by-step explanation:

1.m<2=60°

30°+90°

=120°

180°-120°

=60°

2.m<1=70°

20°+90°

=110°

180°-110°

=70°