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2 years ago

What is 3 2/5 × 2 1/3

Mathematics

1 answer:

AlekseyPX2 years ago

6 0

Answer:

$7\frac{14}{15}$

Step-by-step explanation:

$3\frac{2}{5} \times 2\frac{1}{3} = \frac{17}{5} \times \frac{7}{3} = \frac{119}{15} = 7\frac{14}{15}$

I am joyous to assist you anytime.

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Use proportion to find the whole 75 is 15% of what number

Iteru [2.4K]

Answer:

500

Step-by-step explanation:

15% * x = 75

(15/100) * x = 75 Multiply both sides by 100/15

(15/100)*(100/15) = 75 * 100/15

x = 7500/15

x = 500

Answer 500

Proportion

15/100 = 75 / x Cross multiply

15x = 100*75 Combine the right

15x = 7500 Divide 15

15x/15 = 7500/15

x = 500

3 0

3 years ago

Read 2 more answers

PLEASE HELP WILL GIVE BRAINLIEST Abby purchased 4 2/5 gallons of paint to paint 4 walls of a room in her house. the cost of one

natima [27]

Answer:

Cost to paint 4 walls of a room = $24.20

Cost of painting 3 walls of a room =$18.15

Step-by-step explanation:

(a) Abby purchased 4 2/5 gallons of paint to paint 4 walls of a room in her house.

$4\frac{2}{5}gallons \ of \ paint = \frac{4*5+2}{5} =\frac{22}{5}$

1 gallon cost = 5.50

So 22/5 gallons cost = $\frac{22}{5} * 5.5= 24.20$

Cost to paint 4 walls of a room = $24.20

(b)cost of painting 4 walls of a room = $24.20

cost of painting 1 wall of a room = $\frac{24.20}{4} =6.05$

Cost of painting 3 walls of a room = 6.05 * 3= $18.15

7 0

3 years ago

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?

omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

$T_5 = 160$

$T_7 = 40$

Required

$T_6$

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

$\frac{T_7}{T_5} = \frac{40}{160}$

Divide the numerator and the denominator of the fraction by 40

$\frac{T_7}{T_5} = \frac{1}{4}$ ----- equation 1

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Where n is the nth term

So,

$T_7 = a r^{6}$

$T_5 = a r^{4}$

Substitute the above expression in equation 1

$\frac{T_7}{T_5} = \frac{1}{4}$ becomes

$\frac{ar^6}{ar^4} = \frac{1}{4}$

$r^2 = \frac{1}{4}$

Square root both sides

$r = \sqrt{\frac{1}{4}}$

r = ± $\frac{1}{2}$

Next, is to solve for the first term;

Using $T_5 = a r^{4}$

By substituting 160 for T5 and ± $\frac{1}{2}$ for r;

We get

$160 = a \frac{1}{2}^{4}$

$160 = a \frac{1}{16}$

Multiply through by 16

$16 * 160 = a \frac{1}{16} * 16$

$16 * 160 = a$

$2560 = a$

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

$T_n = a r^{n-1}$

Here, n = 6;

$T_6 = a r^{6-1}$

$T_6 = a r^5$

$T_6 = 2560 r^5$

r = ± $\frac{1}{2}$

So,

$T_6 = 2560( \frac{1}{2}^5)$ or $T_6 = 2560( \frac{-1}{2}^5)$

$T_6 = 2560( \frac{1}{32})$ or $T_6 = 2560( \frac{-1}{32})$

$T_6 = 80$ or $T_6 = -80$

$T_6 =$ ±80

Hence, the 6th term is positive/negative 80

8 0

3 years ago

What is the sum of 13 5/7 + 13/28 ?

nydimaria [60]

Look at the attached picture⤴

Hope it will help u....:)

4 0

3 years ago

The population of the town was 25,000 people.Then 3,200 people moved away.What was the percent of increase?

german

Answer:

-12.8%

Step-by-step explanation:

To calculate the percent decrease, we:

Find the difference between the new value and the original
Divide the number by the original
Multiply by 100 and the % symbol.

The population of the town originally had 25,000. 3,200 people moved away. This means that the new population is 21,800.

21,800-25,000=-3,200
-3,200/25,000=-0.128
-0.128(100)=-12.8%

The towns population decreased by 12.8%.

6 0

3 years ago

What is 3 2/5 × 2 1/3​

What is 3 2/5 × 2 1/3