When using the metric system, conversions which require division can be made by moving the decimal to the _____.

Given:

City's population= 785,000.

Calculating of city's population:

[tex]\to \bold{785000 \cdot 8.5 \% = 785000 \cdot \frac{8.5}{100}=785000 \cdot \frac{\frac{85}{10}}{100}}[/tex]

Calculating the complex fraction:

[tex]\to \bold{\frac{\frac{85}{10}}{100}, \text{write as 100 like} \ \frac{100}{1}}[/tex]

[tex]\to \bold{785000 \cdot \frac{ \frac{85}{10}}{100}=785000 \cdot \frac{\frac{85}{10}}{\frac{100}{1}}=785000 \cdot \frac{85}{1000}=66725}[/tex]

Therefore, [tex]\bold{8.5\% \ of\ 785000\ is\ {66725}}[/tex]

Calculating [tex]\bold{9.4\%}[/tex] of the city's population:

[tex]\to \bold{9.4\% (\frac{9.4}{100})}:\\\\\to \bold{785000 \cdot 9.4\% = 785000 \cdot \frac{9.4}{100}=785000 \cdot \frac{\frac{64}{10}}{100}}[/tex]

Calculating the complex fraction:

[tex]\to \bold{ \frac{\frac{94}{10}}{100}\ \text{write 100 as} \ \frac{100}{1}}\\\\\to \bold{785000 \cdot \frac{\frac{94}{10}}{100}=785000 \cdot \frac{\frac{94}{10}}{\frac{100}{1}}=785000 \cdot \frac{94}{1000}=73790}\\\\[/tex]

Therefore, [tex]\bold{9.4\%\ of\ 785000\ is\ {73790}}[/tex]

So, the final answer is "Between 66725 and 73790 people use the transit system daily".

Learn more:

brainly.com/question/1806188

Answer:

false.

Step-by-step explanation:

just cause you move a decimal point to the left dosent mean its positive.

Answer:

[tex]we \: know \: commutative \: prop \\ \: x + y = y + x \\ then \: r + v = v + r \\ thank \: you[/tex]

22/5

Explanation-

First, multiply 4x5, Then you get the product 20. With that 20, add with 2, so, 20+2=22. Now, place denominator as it is, then write 22 as numerator. So you get the answer as 22/5.

Working-

4×5=20

→ 20+2=22

→ 22

→ 22/5

Step-by-step explanation:

1.06 × 12.95

13.727

which is 13.73 to find the sales tax subtract it from the original

12.95 - 13.73

which is about 28 cents or 0.28

Answer:

m = 1.08

Step-by-step explanation:

2 - 2.27 = -m/4

-0.27 = -m/4

-0.27 × 4 = -m

-1.08 = -m

1.08 =m

Answer:

m = 1.08

Step-by-step explanation:

Basically, we can start off by finding the difference between 2 and 2.27(which is 0.27). Then we can see that 0.27 is equal to m/4. Since 0.27*4=1.08, we can see that m=1.08.

Answer:

its equivalents can be 3/5*2 =6/10 = > 6:103/5×2=6/10=>6:10

second equivalent is 3/5*3=9/15= > 9:153/5×3=9/15=>9:15

Answer:

30/50, 6/10, 15/25, 300/500

actually as a ratio it should be:

30:50 , 6 : 10, 15:25, 300:500

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We will need to use the compound interest formula:

A = P(1 + r)ⁿ

A = final amount

P = Initial amount

r = rate

n = time applied

Our equation will then look like this

A = 500(1.05)⁸

A = 738.72772

Answer:

-60/72 = -5/6

-24/36 = -2/3

91/364 = 45/182

The word problem is " In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there".

The given expression is 8÷2/3

We need write a word problem which is solved by the above expression.

Word problem : In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there.

Solution

[tex]x[/tex]* × 2/3 =8

Divide both sides by 2/3.

x=8/2/3

x= 8×3 / 2

x= 12

Therefore, the total number of students is 12.

Answer:

2 * x = 12

Step-by-step explanation:

Answer:

2x = 12

Step-by-step explanation:

let the number be x then 2 times the number is 2x. so

2x = 12 ← in equation form

Answer:

+9 yards

Step-by-step explanation:

Sacked for 7 then another 2 for a total of 9 yards.

Then he gains 18 yards.

18 - 9 = 9

Answer:

4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80

Answer:

A = 10 / 500 ^ (1/3)

A = 10 / 7.9370052598

A = 1.2599210499

Step-by-step explanation:

Answer:

The Best is B = 44.985

Step-by-step explanation:

(A)First thing is that 0.10 times 750 is 75$

(B)but the 29.99 divided buy 500 equal 0.05998.

then you multiplier by 750 which equal 44.985.

this is the best way I hope this helps :)

Answer:

○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]

When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.

* Here is something you should know:

[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]

I am joyous to assist you at any time.

Answer:

Equivalent fraction of ⅘:

[tex] \frac{4}{5} = \frac{8}{10} = \frac{12}{15} = \frac{16}{20} [/tex]

Answer: First Choice. no solution

Step-by-step explanation:

Given

5 (x + 1) ≤ 5x + 3

Expand parentheses and apply the distributive property

5x + 5 ≤ 5x + 3

Subtract 5x on both sides

5x + 5 - 5x ≤ 5x + 3 - 5x

5 ≤ 3

5 ≤ 3 is not true, therefore, there is no solution.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

9 + y < 21

Step-by-step explanation:

Opposite angles are equal

[tex]\\ \rm\longmapsto m+357=4m+6[/tex]

[tex]\\ \rm\longmapsto 357-6=4m-m[/tex]

[tex]\\ \rm\longmapsto 3m=351[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{351}{3}[/tex]

[tex]\\ \rm\longmapsto m=117[/tex]

Answer:

136

Step-by-step explanation:

Substitute the values for the variables.

[tex]10(-3)^2+3(5)-5(-3)-(-3)^2+5(5)\\\\90+15+15-9+25\\\\136[/tex]

Answer:

f(1/10)=10

Step-by-step explanation:

f(x) = 1/x

f (1/10)​=1/(1/10)=1·(10/1)=10

Answer : Yes

Step-by-step explanation:

Answer:

[tex]true[/tex]

Step-by-step explanation:

Simplify the expression:

[tex]2 \times 4x[/tex]

Multiply the monomials:

[tex]8x[/tex]

Check equivalency:

[tex] \frac{8x}{8x} [/tex]

Check equivalency:

[tex]true[/tex]

Answer:

the equation you would use: y = 30x + 50

(x= months)

(y= cost)

then you would plug in the cost, 260, for y to get

260 = 30x + 50 --> 7 months

Step-by-step explanation:

I got the equation from the slope intercept form y = mx +b.

The 30 is the m, or slope, because you end up paying the same amount every month. The b value would be the 50 that he initially pays because that never changes.

Since you're given the y-value of 260, you just plug it in to your new equation of y = 30x + 50 to solve for x.

when solving the equation with the plugged in numbers, (260 = 30x + 50) first subtract 50 from both sides to get 210 = 30x,

then divide by 30 on both sides (to keep the equations equal to each other and find x) --> you should get 7

Therefore, Paul has been at the gym seven months if he has paid $260.

Answer:

look on the graph

Step-by-step explanation:

the solutions are x = -7 and x=4

Answer:

x = -7 ; x=4

Step-by-step explanation:

The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]

Answer:

Step-by-step explanation:

Evaluate the expression, given functions f and h:  

f(x) = 3x − 1,

h(x) = −2x2 + 3x − 2.

f  

7

3

− h(−2)

Answer:

232 units

Step by step explanation

hope it is help full

Step-by-step explanation: