Can someone pls answer both answers? Thank you so much :3

4 1/3 - 1 2/3 how to solve this please

8_murik_8 [283]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

1) Convert $4\frac{1}{3}$ to improper fraction. Use this rule: $a\frac{b}{c} =\frac{ac+b}{c}$ .

$\frac{4\times3+1}{3} -1\frac{2}{3}$

2) Simplify 4 * 3 to 12.

$\frac{12+1}{3}$

3) Simplify 12 + 1 to 13.

$\frac{13}{3} -1\frac{2}{3}$

4) Convert $1\frac{2}{3}$ to improper fraction. Use this rule: $a\frac{b}{c} =\frac{ac+b}{c}$ .

$\frac{13}{3} -\frac{1\times3+2}{3}$

5) Simplify 1 * 3 to 3.

$\frac{13}{3} -\frac{3+2}{3}$

6) Simplify 3 + 2 to 5.

$\frac{13}{3} -\frac{5}{3}$

7) Join the denominators.

$\frac{13-5}{3}$

8) Simplify.

$\frac{8}{3}$

9) Convert to mixed fraction.

$2\frac{2}{3}$

(Decimal Form: 2.666667)

Thank you,
Eddie

3 0

2 years ago

Simplify 6-12b divided by 3a-6ab

siniylev [52]

Answer:

$\frac{2}{a}$

Step-by-step explanation:

Given

$\frac{6-12b}{3a-6ab}$ ← factor both numerator and denominator

= $\frac{6(1-2b)}{3a(1-2b)}$ ← cancel common factor (1 - 2b) on numerator/denominator

= $\frac{6}{3a}$ ← cancel 6 and 3 by 3

= $\frac{2}{a}$

7 0

3 years ago

Read 2 more answers

While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price

shepuryov [24]

Answer:

$4.34

Step-by-step explanation:

Given the information:

The original price: $5
Discount : 20%
Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

The tax amount she need to pay is:

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

4 0

3 years ago

70% of voters in a certain state support an increase in the minimum wage. A researcher believe that the percentage of fast food

Artist 52 [7]

<h2><u>Answer with explanation:</u></h2>

Let p be the proportion of voters in a certain state support an increase in the minimum wage.

As per given , we have

$H_0: p =0.70\\\\ H_a: p >0.70$

Since alternative hypothesis is right-tailed so the test is a right-tailed test.

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where n= sample size.

p= population proportion.

$\hat{p}$ = sample proportion.

. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.

i.e. n= 300 and $\hat{p}=\dfrac{240}{300}=0.8$

Then,

$z=\dfrac{0.8-0.7}{\sqrt{\dfrac{0.7(1-0.7)}{300}}}\approx3.78$

For significant level α = .05 , the critical z-value is

$z_{0.05}=1.645$

Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.

Conclusion : We have sufficient evidence o support researcher's claim that that the percentage of fast food workers for support and increase is higher than 70%..

4 0

3 years ago

If charlene brewster has times of 8.4, 8.6, 8.3, 8.5, 8.7 ans 8.5 and a performance rating of 110% percent, what is the normal t

yanalaym [24]

<span>First we define Charlene's the average time, which is (8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5)/6 = 8.5. Normal time is 8.5/1.1 = 7.7. Charlene is faster than normal.</span>

8 0

3 years ago