All categories

2 years ago

Can someone explain to me how to solve this please

Mathematics

1 answer:

pashok25 [27]2 years ago

3 0

The statement "y varies directly as x," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio: y/x =K

it can be written as ---> y=kx

then put in the values to get a common ratio
k= y/x
k1= 11/7
k2= 13/8

therefore, there's no common ratio in the given table

You might be interested in

the ticket booth at a school play sells 140 adult tickets and 210 student tickets. find the ratio of adults to students write yo

julsineya [31]

ratio of adults to students can be written as a fraction

adult tickets / student tickets

140/210 can be simplified to 14/21

14/21 can be simplifed to 2/3

6 0

3 years ago

Read 2 more answers

Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af

WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment $t_1, t_2 \& t_3$

Given $D_0=$1.75$

Yearly growth rate for next 2 years( $g_1$ )=38.00%

$D_1=\$1.75\times 1.38=\$2.42$

$D_2=\$2.42\times1.38=\$3.34$

Growth after two years will 6% indefinitely

$g_2=6\%=\dfrac{6}{100}=0.06$

$D_3=\$3.34\times1.06=\$3.54$

Estimate of current stock price is

$=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}$

$=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}$

=$46.84

Estimate of current stock price is =$46.84

3 0

2 years ago

Write an expression to show the sum of fourteen and triple eight.

katrin [286]

14x8³

have a good day!! :)
hope this helps!!! :D
plz give brainliest!! XD

8 0

3 years ago

Solve the equation: a) -3 = 7+2t/3 b) 4(5x-2) = 7(2x+3) c) 2x-6 = 30-2.5x

Umnica [9.8K]

Let's start by solving the first equation.

a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8

Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)

7 0

3 years ago

A pencil and a ruler cost $1.50 together. The ruler costs $1.00 more than the pencil. How much does the pencil cost?

Vlad1618 [11]

So we want to know how much does the pencil costs if the ruler costs 1$ more than the pencil and together they cost 1.5$. So lets start with converting dollars into cents. Lets turn this into an equation. Ruler is x and the pencil is y. So together ruler and pencil cost 150cents or: x+y=150 cents. The ruler costs 100 cents more than the pencil, or: (x+100 cents ) + y = 150 cents. So we see that we need to put the values of x=25 cents and y=25 cents to get the ruler to cost 125 cents which is 100 cents or 1$ more than the pencil. So the pencil costs 25 cents.

7 0

2 years ago