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3 years ago

How many 1/8 foot long wooden pegs can be cut from a plank that is 3/4 foot long?

Mathematics

2 answers:

pantera1 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

!=1

AysviL [449]3 years ago

3 0

Answer:

6 pegs can be cut.

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The table shows masses of different types of nuts that Nathan buys. He plans to mix the nuts and then separate them into bags. E

Basile [38]

Nathan can fill 10 FULL bags of mixed nuts.

To solve this problem, you must add up the total mass of ALL the nuts first.

3.64+ 2.79 = 6.43
3.44+2.73 = 6.17
6.43+ 6.17 = 12.60.

When Nathan mixes all of the nuts, it is 12.60 kg.

Since he is separating or dividing, you divide 12.60 by 1.2.

12.60 / 1.2 = 10.5

Since the question is asking FULL bags, the answer is 10.

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

Your total FICA contribution which includes Social Security and Medicare is 15.3% of your salary. 12.4% of your FICA contributio

Allisa [31]

Answer:

$1,958.23

Step-by-step explanation:

Annual income = $67,525

Total FCIA = 15.3% of salary

Since my annual income is $67,525 the FCIA contribution = 15.3%.

But 12.4% is for Social Security.

The remaining 2.9%(15.3% - 12.4%) will be for Medicare taxes.

The total deduction for I and my employer for medicare taxes will be:

2.9% * $67,525

= $1,958.225

The total deduction for medicare would be: $1,958.23

Note: Assuming we were asked to calculate only employee's medicare, the deduction would be 50% of $1,958.23.

6 0

3 years ago

3.1 .31 1.3 .13 from greatest to least

ale4655 [162]

Hello there!

The answer is:
3.1
1.3
.31
.13

7 0

3 years ago

Read 2 more answers

Evaluate the integral. W (x2 y2) dx dy dz; W is the pyramid with top vertex at (0, 0, 1) and base vertices at (0, 0, 0), (1, 0,

In-s [12.5K]

Answer:

$\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}$

Step-by-step explanation:

Given that:

$\iiint_W (x^2+y^2) \ dx \ dy \ dz$

where;

the top vertex = (0,0,1) and the base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)

As such , the region of the bounds of the pyramid is: (0 ≤ x ≤ 1-z, 0 ≤ y ≤ 1-z, 0 ≤ z ≤ 1)

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 \int ^{1-z}_0 (x^2+y^2) \ dx \ dy \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 ( \dfrac{(1-z)^3}{3}+ (1-z)y^2) dy \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^3}{3} \ y + \dfrac {(1-z)y^3)}{3}] ^{1-x}_{0}$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^4}{3}+ \dfrac{(1-z)^4}{3}) \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz =\dfrac{2}{3} \int^1_0 (1-z)^4 \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz =- \dfrac{2}{15}(1-z)^5|^1_0$

$\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}$

7 0

3 years ago

A house with an original value of increased in value to in years. What is the ratio of the increase in value to the original val

Anika [276]

Answer:

Ratio of the increase in value to the original value will be 1 : 5

Step-by-step explanation:

This question is incomplete; Here is the complete question.

A house with an original value to $150,000 increased in value to $180,000 in 5 years. what is the ratio of the increase in value to the original value of the house?

Original value of the house = $150000

Value of the house after 5 years = $180000

Appreciation in value of the house after 5 years = $180000 - $150000

= $30000

Now the ratio of the increase in value to the original value = $\frac{\text{Increased value}}{\text{Original value}}$

= $\frac{30000}{150000}$

= $\frac{1}{5}$ or 1 : 5

Therefore, ratio of the increase in value to the original value of the house is 1 : 5

6 0

3 years ago