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3 years ago

Amy wants to carpet a room that is 12 feet by 8 feet. How many square yards of carpet will she need to complete the room?

1 answer:

3 0

Assuming that the room is rectangle and carpet is rectangle
area=legnth times width
legnth=longer than width
12 is longer than 8
12ft=legnth
8ft=width

now convert to yards
1 yard=3 feet
1 foot=1/3 yard
12 ft times 1/3=4yards
8 ft times 1/3=8/3yards
multiply

area=4 tiimes 8/3
area=32/3
area=10 and 2/3 square yards

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Hi!

suter [353]

Answer:

1 median=60.3

2 missing number=38

Step-by-step explanation:

1 45+55+76+y+88+54/6

316+y/6=63.6

316+x381.6

x=381.6-316=65.6

2M4 =63

60-62+92+x/4=63

214+x=252

x=252-214

=38

7 0

3 years ago

Read 2 more answers

Mavis drives 634 miles to visit her grandmother in philadelphia. How many miles does mavis drive if she visits her grandmother 4

Dmitriy789 [7]

Mavis drives = 634 miles.

Mavis visits her grandmother 4 times.

That means, she drives 634 miles each time when she visits her mother.

One time round trip Mavis's house to her gramdmother in philadelphia = 634 miles.

If she visited 4 times, we can multiply one round trip distance by 4 or we can just add that distance four times.

Let us try it by multiplying 4 by 634 .

If we multiply 4 by 634, we get 2536.

Therefore, 2536 miles Mavis drives if she visits her grandmother 4 times.

8 0

3 years ago

Alana has 100 mL of water in her water bottle. She needs to share it with 3 other students so that all 4 of them have the same a

elena-14-01-66 [18.8K]

Answer:

each person (including Alana) gets 25mL of water

Step-by-step explanation:

since there is 4 ppl, and 100mL of water, you divide 100/4. Therefore, each person gets 25mL of water:)

6 0

3 years ago

Read 2 more answers

Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

8 0

4 years ago

Investigate the difference between compounding annually and simple interest

Gennadij [26K]

Step-by-step explanation:

Simple interest formula

$A = P (1 + rt)$

Compound interest formula

$A = P(1 + \frac{r}{n})^{nt}$

$A = 5000 (1 + 0.025*1)\\A=5000(1.025)\\A=5125$

Simple interest is $125

. $A = 5000 (1 + \frac{0.025}{1})^{1*1} \\A=5000(1.025)\\A= 5125$

Compound interest is $125

c. the result for both a and b are the same

$A = 5000 (1 + 0.025*3) \\A=5000(1.075) \\A=5375$

the simple interest is $375

. $A = 5000 (1 + \frac{0.025}{1})^{1*3}] \\A=5000(1.025)^3 \\A=5000(1.077)\\A= 5385$

the compound interest is $385

f. the result compared, compound interest is $10 more than simple interest

$A = 5000 (1 + 0.02*6) \\A=5000(1.12) \\A=5600$

the simple interest is $600

$A = 5000 (1 + \frac{0.02}{1})^{1*6}] \\A=5000(1.12)^6 \\A=5000(1.9738) \\A= 9869$

the compound interest is $4869

i. the result from g and h, h is over 8 times bigger than g.

j. interest compound annually is not the same as simple interest, only for the case of a and b seeing that it is for 1 year. but for 2years and above there is difference as seen in c to h

6 0

3 years ago