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3 years ago

A table is rectangular and its length is twice its width. Find the dimensions of the table if it occupies 18 ft2 of floor space.

2 answers:

8 0

The answer would be length is 6, and width would be 3.
How to find the answer:
First you make combinations that multiply to 18 (because area is length times width)
2 x 9
3 x 6
6 x 3
9 x 2
since the last two are basically the same as the first two, you can get rid of those.
2 x 9
3 x 6
since 3 is half of 6 (and 2 isn't half of 9),
3 x 6 is the answer.
Hope this helps.

finlep [7]3 years ago

5 0

The dimensions of the table width would be 2 feet and the length would be 4 feet.

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Select the locations on the number line to plot the points 9/2 and −7/2 .

Alex_Xolod [135]

9/2 would be on the right -7/2 will be on the left hope i helped

3 0

3 years ago

Read 2 more answers

How to answer this? A farmer had 455 ducks and chickens. He sold 2/5 of the ducks and bought another 104 chickens. As a result,

julia-pushkina [17]

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

7 0

3 years ago

Help please tysm becuase this is hard

NISA [10]

<h3>Answer: </h3><h3>Overall balance for year 5 after taxes = $1350</h3><h3>The filled out table is shown in the attached image below</h3>

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

Work Shown:

10% = 10/100 = 0.10

10% of 1000 = 0.10*1000 = 100 is the amount of interest earned in year 1. This goes in the first row of column 1. The overall balance becomes 1000+100 = 1100 after we add on the interest earned. We will write 1100 in row1,column2.

Next, compute the tax: 30% of 100 = 0.30*100 = 30. The 30 will be written in row1,column3. Finally, we subtract the amount taxed (30) from the overall balance in column 2 (which was 1100). So 1100-30 = 1070 will be written in row1,column4.

After finishing row1, we should have these four values: 100, 1100, 30, 1070

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

Now onto row 2

We earn the same amount in interest because we are not compounding. Write 100 in row2,column1.

The overall balance will be different. Instead of using 1000, we will use 1070 which was the figure in row1,column4. Add the amount of interest earned ($100) onto the updated balance ($1070) to get 1170. Write 1170 in row2,column2

The value in row2,column3 is the same as the value above it. This is because the amount of interest does not change, so the amount taxed doesn't change either. Basically we'll have 30s all the way down column 3. We'll also have 100s all the way down column 1.

Subtract 1170 and 30 to get 1140 which is the balance after taxes for year 2.

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

Repeat these steps for the third, fourth, and fifth rows and you'll get what you see in the table below.

6 0

3 years ago

There are two spinners. Each spinner has 10 equal sectors labeled with the numbers 1 through 10.

Reika [66]

Answer: Second option is correct.

Step-by-step explanation:

Since we have two spinners,

Each spinner has 10 equal sectors labeled with the numbers from 1 to 10.

Primes numbers from 1 to 10 is given by

$\{2,3,5,7\}$

So, number of outcomes shows a primes number from 1 to 10 = 4

Similarly ,

Composite numbers from 1 to 10 is given by

$\{4,6,8,9,10\}$

So, number of outcomes shows a composite number from 1 to 10 =5

∴ Total outcomes show a prime number on the first spinner and a composite number on the second spinner is given by

$4\times 5=20\\$

Thus, Second option is correct.

3 0

4 years ago

A) 5xy ×? = 15x²y² can someone explain

Aleksandr [31]

Answer:

$5xy*3xy=15x^2y^2$

Step-by-step explanation:

Multiply 5*3 to get 15, and each x and y is squared, so 5xy needs another set of x and y to have two xs and ys in the final expression, so you multiply $5xy$ by $3xy$ to get your answer.

If I helped, I would love a brainliest!

5 0

3 years ago