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3 years ago

A 7/16-long bolt is used in a machine.What is the length of the bolt written as a decimal?

Mathematics

2 answers:

babymother [125]3 years ago

6 0

The answer is 0.4375

zubka84 [21]3 years ago

3 0

0.4375 is the answer. you divide the numerator by the denominator

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How can using reciprocals help you divide fractions

tresset_1 [31]

When you divide fractions, you change each to its reciprocal, then you look multiply them. Using reciprocals helps you easily solve the problem.

7 0

3 years ago

Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro

Elanso [62]

Answer:

<em>Choose the first alternative</em>

$\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}$

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions $(N_s)$ and the total number of possible choices $(N_t)$ , i.e.

$\displaystyle P=\frac{N_s}{N_t}$

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

$_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}$

The total number of possible choices is

$_{2}^{20}\textrm{C} \text{ ways to do it}$

The probability is then

$\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}$

Choose the first alternative

7 0

3 years ago

Read 2 more answers

1000 was invested at 5.5% interest, compounded annually. After sometime the amount had grown to 1550. How long was the money inv

scZoUnD [109]

compound interest equation for annually compounded

$A=P(1+r)^t$

A=final amount

P=principal

r=rate in decimal

t=time in years

given that

A=1550

P=1000

r=5.5%=0.055

find t

$1550=1000(1+0.055)^t$

divide both sides by 1000

$1.55=1.055^t$

take ln of both sides

$ln(1.55)=ln(1.055^t)$

use ln rule $ln(a^b)=b(ln(a))$

$ln(1.55)=t(ln(1.055))$

divide both sides by ln(1.055)

$\frac{ln(1.55)}{ln(1.055)}=t$

using a calculator, we get that t=8.18544 yrs

so about 8.2yrs

4 0

3 years ago

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Lynna [10]

Answer:

157

Step-by-step explanation:

8.00 +(0.06x) = 18.27

0.08x = 18.27 - 6.00

0.08x = 12.56

12.56/0.08=

157

4 0

3 years ago

Using the GCF factor the given expression: 4m - 20

nirvana33 [79]

Answer:

The first and second one

Step-by-step explanation:

4(m-5)=4*m-4*5=4m-20

2(2m-10)=2*2m-2*10=4m-20

7 0

2 years ago