Write the ratio 54 inches to 7 feet as a fraction in simplest form.

Answers

Answer 1
Answer: 9 : 14

Work:
54 in. : 7 ft.
54 in. : (7 ft. * 12 in.)
54 in. : 84 in.

54 / 84 = 9 / 14

Answer: 9 : 14

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Willa is building birdhouses. Each side of the birdhouse will need 9 nails. How many nails does Willa need for each birdhouse? There are 7 sides on the birdhouse. If Willa uses only 7 nails on each side, how will the total number of nails she uses change?

Answers

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Step-by-step explanation:

Sides of one birdhouse = 7

Nails used on each side = 9

Nails used on one birdhouse = No. of sides * Nails used for each side

Nails used on one birdhouse = 7*9 = 63 nails

If she uses 7 nails on each side, then the number of nails used on each birdhouse will be;

No. of nails = 7*7 = 49 nails

Difference = Old value - New value

Difference = 63-49 = 14

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Keywords: multiplication, subtraction

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Four equivalent expressions for 100k-25k

Answers

5(20k-5k)
2(10k)-5(5k)
5(20k)-5(5k)
100k-5(5k)
1 over 4, 2 over 4, 3 over 4 and 4 over 4

A teacher offers her students 5 fake dollars to spend in the class store, when they get a perfect score on their math tests. If one of her students gets a perfect score on 4 of the math tests and already has 25 fake dollars, how many fake dollars, in total, does this student have to spend in the class store?

Answers

Answer:

45 fake dollar.

Step-by-step explanation:

Given: teacher offer 5 fake dollar for each perfect score in Math test.

           One of Student get perfect score on 4 maths test.

          Student already have 25 fake dollor.

Now, solving to find total number of fake dollar teacher offered to student.

As given teacher offer 5 dollar for each perfect score in maths test and student got perfect score on 4 maths test.

Number of fake dollar offer to the student= Fake\ dollar\ offered\ for\ each\ perfect\ score\ *\ number\ of\ maths\ test\ with\ perfect\ score∴ Number of fake dollar offered to the student=  5* 4= 20\ fake\ dollar

We know, student already have 25 fake dollar.

Next, finding total number of fake dollar student have.

Total fake dollar student have= fake\ dollar\ offered\ by\ teacher + fake\ dollar\ student\ already\ have.

Total fake dollar student have= 20+25= 45\ fake\ dollar

Hence, student have total 45 fake dollar to spend in the class store.

Simplify cube root of 7 over fifth root of 7.7 to the power of 1 over 5
7 to the power of 8 over 15
7 to the power of 5 over 3
7 to the power of 2 over 15

Answers

So to put your equation into algebraic terms, your asking for \frac{\sqrt[3]{7}}{\sqrt[5]{7}} .

Firstly, we have to convert these into fractional exponents. The rule to do that is x^{(m)/(n)}=\sqrt[n]{x^m} . Applying that here, our equation is \frac{7^{(1)/(3)}}{7^{(1)/(5)}}

Next, the rule with dividing exponents with the same base is to just subtract the exponents, so with this we are subtracting 1/5 from 1/3. However, we need to find their LCM, or lowest common multiple, of 3 and 5. You can do this by listing out what numbers 3 and 5 are factors of. In this case, the LCM is 15. Multiply 1/3 by 5/5 and 1/5 by 3/3:

(1)/(3)*(5)/(5)=(5)/(15)\n \n (1)/(5)*(3)/(3)=(3)/(15)\n \n \frac{7^{(5)/(15)}}{7^{(3)/(15)}}

Now that they share the same denominator, subtract the numerators of the 2 fractional exponents and your answer will be 7^(2)/(15), or the last option.

For a history fair, the school is building a circular wooden stage that will stand 2 feet off the ground. Find the area of the stage if the radius of the stage is 19 feet. Use 3.14 for pi

Answers

Multiply 19 times 19. Then multiply that by 3.14. Round to the nearest decimal place.

What is the value of the 4 in 6.54

Answers

The 4 in that number is in the hundredths section. It means the 4 represents four hundredths
The value of the 4 in 6.54 is four hundreths.