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2 years ago

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Mathematics

2 answers:

denis-greek [22]2 years ago

6 0

Step-by-step explanation:

${6}^{2} \div {6 }^{2} = {6}^{7 - 2} = {6}^{5}$

hope it helps.

stay safe healthy and happy.

kati45 [8]2 years ago

4 0

Answer:

$6^{5}$

Step-by-step explanation:

I hope this helps

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a car uses 9 gallons of gasoline to go 162 miles. how many gallons of gasoline will the same car use to travel 216 miles?

Ber [7]

Answer:

$12\ gallons$

Step-by-step explanation:

Step 1: Determine the unit rate

$Miles / Gallons$

$162\ miles / 9\ gallons$

$18\ miles/gallon$

Step 2: Determine the amount of gasoline used for 216 miles

$216\ miles * (gallon / 18\ miles)$

$12\ gallons$

Answer: $12\ gallons$

8 0

2 years ago

Read 2 more answers

Solomon needs to justify the formula for the arc length of a sector. Which expression best completes this argument?The circumfer

Archy [21]

Answer:

$\frac{360}{n}$

Step-by-step explanation:

Given:

The above statements

Required

Complete the above statements

Considering the third statement in the question;

First, it should be noted that a circle is a full sector that measures 360 degrees

Assuming the circle is divided by a central angle of 180, the number of sectors formed will be;

$\frac{360}{180} = 2\ sectors$

Further assume the circle is divided by a central angle of 90, the number of sectors formed will be;

$\frac{360}{90} = 4\ sectors$

Similarly, if the circle is divided by a central angle of n, the number of sectors formed will be;

$\frac{360}{n}$

Hence, from the list of given options; $\frac{360}{n}$ fills the gap correctly

4 0

2 years ago

Find the value of each expression. Show your work.

luda_lava [24]

Answer:

A) 1.44

B) 25 - 3x^4

C) 3

Step-by-step explanation:

Sadly, I cannot show work, but those are the answers

7 0

2 years ago

Sid starts with savings of £13

vfiekz [6]

Answer:

after 6 weeks

Step-by-step explanation:

Sid and Tim starts saving each week.

Sid starts his savings with initial amount of £13.00

Tim starts his saving with initial amount of £00.00

Each week from now Sid will save = £3.50

Tim will save each week = £3.00

Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)

and the amount of Tim's saving after x weeks = £ (3x)

The ratio of their savings in x weeks would be = 17 : 9

Now the expression we get,

(13 + 3.50x) : (3x) = 17 : 9

$\frac{13+3.50x}{3x}=\frac{17}{9}$

9(13 + 3.50x) = 17(3x)

117 + 31.5x = 51x

117 = 51x - 31.5x

117 = 19.5x

$x=\frac{117}{19.5}$

x = 6

After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.

5 0

2 years ago

In throwing a die what is the probability of getting even or prime number

Julli [10]

die number : 1 2 3 4 5 6

probability of getting even number : 3/6

because the number 2,4,6 are even number

the number 3 is 'how many even number?'

while 6 is the total number in throwing a die

probability of getting prime number : 2/6

because the number 3,5 are only prime number

the number 2 is 'how many prime number?'

while 6 is the total number in throwing a die

the question ask : getting even OR prime number

this means that we have to add the probability of even and prime number

3/6 + 2/6 = 5/6 (answer)

5 0

3 years ago