A city is running out of phone numbers available for their population. They currently have 2,000,000 available phone numbers. They intend to create new area codes with the form ABC, where A can be digits 2-8, B can be digits 5-9, and C can be digits 5-9. How many TOTAL phone numbers will the city have after adding the new area codes?

Answers

Answer 1

Answer:

The total phone numbers, if the latter ABC is followed, will be 175.

Step-by-step explanation:

We are told that the digits will be in the form ABC and A can take values from 2 – 8, B from 5 – 9 and C from 5 – 9 as well.

This means:

A has 7 possible values (when you count the number of numbers between 2 and 8).

B has 5 possible values.

C has 5 possible values.

Therefore, the total phone numbers, if the latter ABC is followed, will be:

7 x 5 x 5 = 175.


Related Questions

Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.
Part A
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.

Answers

Answer:

A). h = 20 w

B). m = 10.5h

Step-by-step explanation:

Part (A).

Let the total number of hours Hector worked = h

And total number of weeks worked by Hector = w

Therefore, number of hours Hector worked in a week = [tex]\frac{h}{w}[/tex]

Since, total number of hours worked in a week = 20

Equation will be,

20 = [tex]\frac{h}{w}[/tex]

h = 20w

Part (B).

Per hour earning of Hector = [tex]\frac{\text{Total earning}}{\text{Number of hours worked}}=\frac{210}{20}[/tex]

[tex]\frac{m}{h}=10.5[/tex]

m = 10.5h

-1 1/3 plus 3/4 (fraction form)

Answers

Answer:

[tex]\boxed{-\frac{7}{12} }[/tex]

Step-by-step explanation:

[tex]-1\frac{1}{3} +\frac{3}{4}[/tex]

→ Make both denominators the same

[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}[/tex]

→ Convert mixed number into improper fraction

[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}=-\frac{16}{12} +\frac{9}{12}[/tex]

→ Do the -16 + 9 and leave 12 as the denominator

[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}=-\frac{16}{12} +\frac{9}{12}=-\frac{7}{12}[/tex]

The required simplification o f[tex]-1\frac{1}{3} +\frac{3}{4}[/tex] into fraction form  is -1 / 12

To simplify -1 1 / 3 plus 3 / 4 into fraction form.


What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.

What is the fraction?

Fraction is defined as the number of compositions constituting the Whole. And it is represented as a / b, where a = numerator and b = denominator.

Since the given problem is
[tex]-1\frac{1}{3} +\frac{3}{4}[/tex]

We need to simplified it into fraction form like a / b.

[tex]=-1\frac{1}{3}+\frac{3}{4} \\= -2/3 + 3/4[/tex]
=  ( -8 + 9 ) / 12
= -1 / 12

Thus, The required simplification of  [tex]-1\frac{1}{3} +\frac{3}{4}[/tex]  into fraction form is -1 / 12.

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A survey of all planet Umpt found that 36 beings preferred dubble juice to all the other juices. If 40 being were surveyed all together, what percent of them preferred dubble juice.

Answers

Answer:

90%

Step-by-step explanation:

Number of beings that preferred dubble juice to all the other juices = 36

Number of beings surveyed = x

The percentage of people that preferred dubble juice is calculated as:

(Number of beings who preferred dubble juice/Total number of beings surveyed) × 100

36/40 × 100

= 90%

90% of beings preferred dubble juice.

Need answer ASAP! Question in picture

Answers

Answer:

b

Step-by-step explanation:

hope this helps

a bag contains 18 coins consisting of quarters and dimes the total value of the coins is $2.85 what system of equations can be used to determine the number of quarters given the numbers of Dimes date in the back ​

Answers

Answer:

is the answer division ???

Answer:

18=q+d   &    2.85=.25q+.10d

Ratio between 16 hours
and 2 days​

Answers

Answer: 1:3

Step-by-step explanation:

2 Days = 48 hours

16 : 48 hours

1:3

Answer:

1:3

Step-by-step explanation:

16 hours:2 days

2 days = 48 hours

16:48

48/16=3

1:3

Troy needs to buy a rod, reel, lures, line, and a license to go fishing. The sporting goods store has a rod for $67, a reel for $42, a lure for $8 and a line for $11. The license will cost $38. Round each cost to the nearest 10 and then choose the best estimate of the total cost of paying for these five items.

A. $130
B. $150
C. $170
D. $190

Answers

The best estimate of the total cost of paying for these five items will be $170. Then the correct option is C.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Troy needs to buy a rod, reel, lures, line, and a license to go fishing.

The sporting goods store has a rod for $67, a reel for $42, a lure for $8 and a line for $11.

The license will cost $38.

Then the best estimate of the total cost of paying for these five items will be

⇒ 67 + 42 + 8 + 11 + 38

⇒ $166

Round each cost to the nearest 10. Then we have

⇒ $ 170

Then the correct option is C.

More about the Algebra link is given below.

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PLS HELP 10 brain list

Answers

Answer:

y:))))))))))))))))))))

what is -6+x=23





knjhkfxfh mvgh

Answers

Answer: x = 29.

Step-by-step explanation: Step 1: Simplify both sides of the equation.

x−6=23

Step 2: Add 6 to both sides.

x−6+6=23+6

x=29

Consider marking this answer as brainliest if it helped.

Sarah is a computer engineer and manager and works for a software company. She receives a fixed annual increase in the number of projects she handles each year. She worked on 129 projects in the fourth year of her employment and 207 projects in her tenth year

Answers

Answer: See explanation

Step-by-step explanation:

You didn't say what you'll like to calculate but let me help out.

Fourth year = 129 project.

Tenth year = 207 projects

We can form this into an arithmetic progression

Tn = a + (n-1)d

4th year = a + 3d = 129 ........ i

10th year = a + 9d = 207 ....... ii

Subtract equation i from equation ii

6d = 78

d = 78/6 = 13

This means that 13 new projects are added every year

For the first year, the number of projects done was:.

a + 3d = 129

a + 3(13) = 129

a + 39 = 129

a = 129 - 39 = 90

She worked on 90 projects in the first year.

In order to solve the equation x 3 − 216 = 2 ( x − 6 ) x3−216=2(x−6), a student graphs the equations y = x 3 − 216 y=x3−216 and y = 2 ( x − 6 ) y=2(x−6). What is the solution to the equation x 3 − 216 = 2 ( x − 6 ) x3−216=2(x−6)

Answers

Answer:

y = x 3+ 216

Step-by-step explanation:

Jacob checked two bags of potato chips for broken chips. The first bag
had 6 broken chips, which was 10% of the chips in bag 1. The second bag
had 12 broken chips, which was 25% of the chips in bag 2. How many
total chips were in both bags?

Answers

Answer:

3

Step-by-step explanation:

Total 108 chips were in the both bags.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

10% of chips in the first bag is 6.

To find the total chips in the first bag:

6 = 10 x total number of chips in the first bag / 100

total number of chips in the first bag = 600/10

total number of chips in the first bag  = 60

25% of chips in the second bag is 12.

To find the total chips in the second bag:

12 = 25x total number of chips in the second bag / 100

total number of chips in the second bag = 1200/25

total number of chips in the second bag  = 48

Now, total chips in the both bags = 60 + 48 = 108

Therefore, total 108 chips were in the both bags.

To learn more about the percentage;

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What is y-4=2(x+3) in standard form

Answers

Answer:

2x - y = -10

Step-by-step explanation:

Standard form: x + y = n

y - 4 = 2x + 6

y = 2x + 6 + 4

y = 2x + 10

2x - y = -10

the senior class has 225 members. there are 55 more boys in the class than girls. how many boys and girls are there

Answers

Answer:

85 girls and 140 boys

Step-by-step explanation:


Midpoint between(-3,5) and (7,-5).

Answers

Answer:

(2,0)

Step-by-step explanation:

7 - 3 = 4

4 / 2 = 2

x = 2

5 - 5 = 0

y = 0

Answer:

(2,0)

Step-by-step explanation:

Midpoint = ((x1+x2)/2 , (y1+y2)/2)

=( (-3+7)/2, (5-5)/2)

= (4/2, 0/2)

= (2,0)

A total of 300 pine trees will be planted in the park. There will be 2 pine trees planted for every 3 maple trees planted.

Answers

Answer:

200 pine trees will be planted

I need help on this please! This is Geometry :) ​

Answers

Answer:   a is 4

j is 3

g is 1

Step-by-step explanation:

Answer:

A) (-4,-4) J) (0,-3) G) (3,0)

Step-by-step explanation:

Since we know the equation for a 180 clockwise rotation is (x,y) —> (-x,-y) we simply just make all coordinates negative. (except for zero ofc)

33 managers and 27 non-managers attended a company meeting. What percentage of the people in the meeting were managers?

Answers

Answer:

81.82%

Step-by-step explanation:

Step 1: We make the assumption that 33 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=33$100%=33.

Step 4: In the same vein, $x\%=27$x%=27.

Step 5: This gives us a pair of simple equations:

$100\%=33(1)$100%=33(1).

$x\%=27(2)$x%=27(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{33}{27}$100%x%=3327

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{27}{33}$x%100%=2733

$\Rightarrow x=81.82\%$⇒x=81.82%

Therefore, $27$27 is $81.82\%$81.82% of $33$33.

The formula s=12at ^2 is used to calculate the distance s travelled by a bike when a=3 and t=10, each correct to the nearest integer, calculate the lower bound of the distance s

Answers

Answer:

Step-by-step explanation:

Given the formula for calculating the distance travelled expressed as;

s=1/2at^2

Given

a = 3

t = 10

Required

lower bound of s

Substitute the given values into the equation;

s=1/2at^2

S = 1/2(3)(10)^2

S = 1/2 * 3 * 100

S = 3 * 50

S = 150

Hence the lower bound of distance S is 150

Need Help ASAP! Which relation is a function?

Answers

Answer: The last one, I would suppose.

Which expression shows the result of applying the distributive property to 3(2x-6)?

A) 6x-6
B) 2x-18
C) 6x-18
D) 5x-3

Answers

Answer:C 6x-18

Step-by-step explanation:

3 times 2 equals 6 and 3 times -6 will give you -18

Answer:

The solution is C) 6x-18

Step-by-step explanation:

3(2x-6)

(we multiply between 3 and in brackets)

3×2x = 6x

3×(-6) = -18

if we combine, then the arrangement is like this:

6x-18

Jamey is taking a test that has 57 questions. So far, she has answered 48 questions correctly. How many more questions must she answer correctly, so that her total
score of questions answered correctly will be 90%? Assume she can't get partial credit for any problem.

Answers

Answer:

Jamey can answer 9 more questions.

Step-by-step explanation:

57-48= 9

-5(3x-7)+11=1 What would this be?

Answers

Answer:

x = 3

Step-by-step explanation:

-5(3x -7) + 11 = 1

Distribute 5:

-15x + 35 + 11 = 1

Combine like terms:

-15x + 46 = 1

Subtract by 46 =

-15x = 1 - 46

-15x = -45

Divide by -15:

x = -45 / -15

x = 3

Answer:

x=3

Step-by-step explanation:

Use the distributive property to multiply −5 by 3x−7.

−5(3x−7)+11=1

Add 35 and 11 to get 46.

−15x+35+11=1

Subtract 46 from both sides.

−15x+46=1        

Subtract 46 from 1 to get −45.

−15x=1−46

Divide both sides by −15 and you get x=3.

Please mark brainliest.

Just need this one and I’ll be good

Answers

Answer:

8

Step-by-step explanation:

8 my dude and have a good day

Express
[tex] \frac{1}{2x ?} - \frac{x + 2}{6x {}^{2} } [/tex]
as a single fraction in its simplest form​

Answers

Answer is x-1/3x^2
Merry Christmas

you are a gift to those around you.

Answers

Answer:

And you bring a smile, upon every golden flower.

    ~ Isimpfortnpu

The length of a rectangle is 3 cm longer than its width. if the perimeter of the rectangle is 46 cm , find its area.

Answers

Answer:

2254

Step-by-step explanation:

Can someone please help? :000

Answers

Answer:

a=2

b = -2

c= -7

d= 6

e= 6

f= 7

Step-by-step explanation:

Abs and piper have to go to heaven

Rewrite the rational exponent as a radical
(5∧3/4)∧2/3

Answers

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since we can see that [tex](5^{\frac{3}{4} } )^{\frac{2}{3} }[/tex] has a parentheses, the exponents are being multiplied by each other.. To find their product, just multiply across..

3*2 = 6/4*3 = 12. So we have 6/12 which can be simplified to just 1/2.

So now we have [tex]5^{\frac{1}{2} }[/tex] which is equal to [tex]\sqrt{5}[/tex]..

Lisa’s school requires each student to earn 75 hours of community service each year. Lisa has already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the number of visits, v, that Lisa will need to make to fulfill her community service requirement?

Answers

Answer:

Step-by-step explanation:

2v+27=75

2v=75 - 27

2v=48

v= 24 visits

So, she needs 24 visits

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