Solve the following variation problem
The interest on an investment varies directly as the rate of interest.
If the interest is $49 when the interest rate is
4%, find the interest when the rate is
7.7%

Answer:

firstly read the length of the arc then

center angle=l/r

=1/6

=6

Answer:

total blocks are 20 and prisms are 28

Step-by-step explanation:

There are 20 blocks needed for tower A, and 43.75 blocks needed for tower B

From the tape diagrams, we have the following ratio

Prism : Pyramid = 4 : 1

From the table, we have:

Tower A = 16 prisms

So, the ratio becomes

16 : Pyramid = 4 : 1

Multiply the ratio on the right-side by 4

16 : Pyramid = 16 : 4

By comparison, we have:

Pyramid = 4

This means that, 4 pyramid blocks are needed for tower A

So, the total number of blocks needed is:

Total = Pyramid + Prism

This gives

Total = 4 + 16

Evaluate the sum

Total = 20

Hence, there are 20 blocks needed for tower A

For table B, we have:

Tower A = 35 prisms

So, the ratio becomes

35 : Pyramid = 4 : 1

Express as fractions

[tex]\frac{Pyramid}{35} = \frac 14[/tex]

Multiply through by 35

Pyramid = 8.75

This means that, 8.75 pyramid blocks are needed for tower B

So, the total number of blocks needed is:

Total = 8.75 + 35

Evaluate the sum

Total = 43.75

Hence, there are 43.75 blocks needed for tower B

Read more about ratios at:

https://brainly.com/question/16981404

Answer:

See below.

Step-by-step explanation:

The equation is this

A= 1/2bh

We plug in the equation and we get this

A= 1/2 (14)(24)

Let's do the math.

A= 1/2 (336)

A= 168

That's your answer. ✌️

I hope this helps!

Answer:

if my math correct it 1 = 0.4 that the ratio

Step-by-step explanation:

Answer:

-x+4, 8-2x e.t.c

Step-by-step explanation:

To be able to do this:

You simply rearrange or you do the same to top and bottom.

So for the first one , if we substitute x we get:

4-1=3

The rearranged one I made which is my first answer would give:

-1+4=3

Answer:

It’s the last one, D

Answer:

0.2

Step-by-step explanation:

I hope this helps you

Answer:

0,2

Step-by-step explanation:

You get two zero away and you have the answer

The required speed in km/hr are 108km/hr and 25.704km/hr

Given the following conversion rate

Given that the speed of cheetah is 30meters per second. Converting to m/s will give:

30m/s = [tex]\frac{30m}{1s} \times \frac{1km}{1000m} \times \frac{3600s}{1hr} \\[/tex]

30m/s = 30 * 3.6

30m/s = 108km/hr

For the person with speed of 7.14m/s, the value in km/hr is expresssed as:

7.14m/s = 7.14 * 3.6

7.14m/s = 25.704km/hr

Hence the required speed in km/hr are 108km/hr and 25.704km/hr

Learn more on speed conversion here: https://brainly.com/question/2681210

Answer:

928/65

Step-by-step explanation:

They played 16 games each summer. 16 divided by 3.25 is 32/65. 29 runs is 928/65. Sorry I couldn't help you with much.

It might be wrong.

Answer:

120-x=90

120-90=x

30=x

Answer:

$35526 is the cost of the model

Step-by-step explanation:

We can multiply 31,000 by 14.6 percent, and then add that to 31,000 to get our answer.

Step 1:

Convert 14.6% into a decimal. 0.146

Step 2:

Multiply 31,000 by 0.146

[tex]31000*0.146=4526[/tex]

Step 3:

Add 4526 and 31,000.

This equals 35526.

Answer:

-314

Step-by-step explanation:

Answer: -47/42x

Step-by-step explanation:

-1/6x -9/7

LCD:

6(7) =42

x[ 7\7(-1/6) -6\6(9/7)]

x . -61/42

= -61/42x

Answer:

150

Step-by-step explanation:

We multiply both sides by 6 to get x as the subject:
x/6×6=25×6

x=25×6

x=150

If we substitute this into the original question we get:
x/6=25

150/6=25
✅

Answer:

y = 15

Step-by-step explanation:

The triangles follow a scale factor. This scale factor can enlarge or make a triangle smaller, using this factor, like a ratio. We can do 22/10 to get this scale factor for the set, which is 2.2. Finally, divide 33 by 2.2 to get 15 for the missing side length y.

Answer:

Your answer is [tex]6x^{2}yz^{3}[/tex]

Answer:

answer is below

Step-by-step explanation:

cos 22 = x÷15

x = 13.907

Answer:

650 milimeters

Step-by-step explanation:

Answer:

  (10, 1), (15, 1), (20, 13), (25, 7)

  IS a function

Step-by-step explanation:

The ordered pairs are (input, output). Essentially, the numbers in each ordered pair are the numbers at each end of an arrow. There are as many ordered pairs as there are arrows.

Working top-down on input values, the ordered pairs of this relation are ...

  (10, 1), (15, 1), (20, 13), (25, 7)

None of the input values is repeated, so the relation is a function.

Answer:

it's C!!!!!!!!!!!!

Step-by-step explanation:

Answer:

C: (-2,7)

Step-by-step explanation:

Took the test on edge

Answer:

B

Step-by-step explanation:

I'll say it is b not sure I hope this helps and if it is correct

Answer:

  B.

Step-by-step explanation:

I would write the first equation to better match the wording: three times d is 3d, and 290 less is (3d -290). That is said to be equal to t:

  t = 3d -290

If 3d is subtracted from both sides of this equation, you get an equation that matches some of the answer choices:

  t -3d = -290

The other equation is a straightforward expression of the difference in prices:

  t -d = 240

These equation match choice B.

Hey there!

Assuming you meant:

9^3

IF SO, LETS SOLVE FOR IT!

9^3

= 9 * 9 * 9

= 81 * 9

= 729

Therefore, your answer is most likely:

[729] So, the base number is probably 5 and the exponent is probably 3

Random note:

Your base number is always that number that will be repeated by what the exponent is telling it!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

This basically

Step-by-step explanation:

Answer:

I believe that the answer is x=24

Answer:

Step-by-step explanation:Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

X=8

Step-by-step explanation:

5x

2x+24

5x and 2x+24 are equal to each other

5x=2x+24

-2x  -2x

3x=24

x= 8

Answer:

(-8,-10)

Step-by-step explanation:

we have the two equations x-2y=12 and y=3x+14.

I'm going to assume this is a system of equations and we are looking for the solution.

we can use the substitution method as y is "defined".

x-2y= 12

substitute y = 3x + 14

x-2(3x+14)=12

distribute

x - 6x -28 = 12

combine like terms

-5x - 28 = 12

add 28 to both sides

-5x = 40

divide both sides by -5

x = -8

Now we plug in the value of x into one of the equations and solve for y

y = 3x + 14

x = -8

y = 3(-8) + 14

y = -24 + 14

y = 10

the solution is (-8,-10)

Check the picture below.

Answer:

Step-by-step explanation:

The angles are vertically opposite

Vertically opposite angles are always equal

? = 53 degrees.