Copy each exerise $37 45¢

Covert 77 1/2% to a fraction in lowest term

Elodia [21]

$77\frac{1}{2} \%$ converted to fraction in lowest terms is $\frac{31}{40}$

Solution:

Given that we have to convert $77\frac{1}{2} \%$ to fraction in lowest terms

Let us first convert the mixed fraction $77\frac{1}{2}$

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

$77\frac{1}{2} \% = \frac{77 \times 2+1}{2} \% = \frac{155}{2} \%$

$\frac{155}{2} \% = 77.5 \%$

Now convert 77.5 % to fraction

So we have to convert percentage to fraction

Divide the percentage by 100 to get a decimal number

$77.5 \% = \frac{77.5}{100} = 0.775$

Use that decimal number as the numerator of a fraction. Put a 1 in the denominator of the fraction

Count the number of places to the right of the decimal. If you have x decimal places then multiply numerator and denominator by $10^x$

$0.775 = \frac{0.775}{1} \times \frac{1000}{1000} = \frac{775}{1000}$

Simplify and reduce the fraction to lowest terms

$\rightarrow \frac{775}{1000} = \frac{31}{40}$

Thus the given percentage is converted to fraction in lowest terms

7 0

3 years ago

10. The perimeter of the table shown is 16 feet. Write an equation in

Aliun [14]

Answer:

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

$P=2(\text{Width}+\text{Length})$

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

$P=2(3+x)\\ \\P=6+2x$

Since the perimeter is 16 feet, we have

$2x+6=16$

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

$2x+6-6=16-6\\ \\2x=10\\ \\x=\dfrac{10}{2}=5\ feet$

4 0

3 years ago

What expressions are equivalent to 5x + (x+6) + 3x

anyanavicka [17]

Answer:

9x + 6

Step-by-step explanation:

Step 1: Distribute

5x + (x + 6) + 3x

5x + x + 6 + 3x

Step 2: Combine like terms

5x + x + 6 + 3x

9x + 6

Answer: 9x + 6

8 0

3 years ago

Leena consumes 400 cal at breakfast and 350 cal at lunch. She consumes 2/3 of her daily calories at dinner. If X represents the

Zina [86]

1) Data:

Meal calories consumed

Breakfast 400 cal
Lunch 350 cal
Dinner x
 ------------------
Total 400 + 350 + x = 750 + x

2) Equation: 

She consumes 2/3 of her daily calories at dinner => (2/3)[750+x] = x

3) Analyze each statement:

a) Lena consumed 1500 cal at dinner.

Solve the equation to find if the statement is true:

(2/3)[750+x] = x

2(750+x) = 3x

1500 + 2x = 3x

1500 = 3x - 2x

x = 1500

Conclusión: TRUE stament.

b) Do you equation 2/3 (x+400+350)=x can be used to model the situation.

That is the same equation that I found above.

Conclusion: TRUE statement

c) Lena consumed 500 cal at dinner.

She consumed (2/3) * 1500 = 500 cal

Conclusion: TRUE statement

d) Lena consumed 1000 cal at dinner.

No, we calculated that she consumed 500 cal at dinner.

Conclusion: FALSE statement

e) The equation 2/3(x)=x(400+350) can be used to model the situation.

No: (2/3) x = 500 and x(400+350) = 500*750 = 375,00, which are not equal.

Conclusion: FALSE statement.

f) The equation 2/3x(400+350)=x Can’t be used to model the situation

No: in that equation the variable x cancels out because it appears a factor at both sides.

Conclusion: TRUE statement

3 0

4 years ago

Read 2 more answers

Is 3x + 2y = 6 a function??

professor190 [17]

Answer:

B :)

Step-by-step explanation:

5 0

3 years ago