You have $85 in your bank account. Each week you plan to deposit $9 from your allowance and $20 from your paycheck. The equation $$b=55+(20+9)w$$ gives the amount b in your bank account after w weeks. How many weeks from now will you have $250 in your bank account?

Answer:

5/3

Step-by-step explanation:

1.6 repeating is equal to 5/3

The repeating decimal 1.6 can be written as the simplified fraction 5/3.

To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:

x = 1.6

Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):

10x = 16.6

Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:

10x - x = 16.6 - 1.6

This simplifies to:

9x = 15

Finally, divide both sides by 9 to solve for x:

x = 15 / 9

Now, we simplify the fraction:

x = 5/3

Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.

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Answer:

The y-intercept is -6.

Step-by-step explanation:

Answer:

80 miles per an hour

Step-by-step explanation:

400 divided by 5 equals= 80 so 80miles = 1 hour

Answer:

80 miles per hour.

Step-by-step explanation:

Start with the speed formula.

[tex]speed=\frac{distance}{time}[/tex]

In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.

Substitute:

[tex]speed=\frac{400}{5}[/tex]

Divide.

[tex]400[/tex] ÷ [tex]5[/tex]

Solve:

[tex]400[/tex] ÷ [tex]5=80[/tex]

Answer:

$0.15

Step-by-step explanation:

3÷20=$0.15

I hope this helps

The cost per message is $0.15

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, a graph,

The graph is showing a straight line,

Considering a coordinate (3, 20),

That means, they cost $20 for 3 messages.

Therefore, for 1 message = 3/20 = 0.15

Hence, the cost per message is $0.15

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Answer:

w= 7.59

Step-by-step explanation:

Answer:

13, 39

Step-by-step explanation:

H +J =52

H=3J

3J +J=52

4J=52

J=52 :4 =13 (Jane is 13

H =3 ×13 =39 (Harvey is 36

Answer:

17. 13

18. 3x + 12

19. 1/4

Step-by-step explanation:

17.

[tex]3a + b = 3(5) - 2 \\ = 13[/tex]

18.

[tex]3(x + 4) = 3x + 12[/tex]

19.

[tex]p \: = \frac{3}{3 + 4 + 5 } \\ = \frac{3}{12} \\ = \frac{1}{4} [/tex]

Answer:

Step-by-step explanation:

17. 3(5) + 2 = 15 + 2 = 17

18. 3(x + 4) = 3x + 12

19. 3/(3+4+5)= 3/12= 1/4

Answer:

-3d = 43-10

-3d = 33

d = 33/-3

d = -11

Answer:

d = 11

Step-by-step explanation:

Simplifying

3d + 10 = 43

Reorder the terms:

10 + 3d = 43

Solving

10 + 3d = 43

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 3d = 43 + -10

Combine like terms: 10 + -10 = 0

0 + 3d = 43 + -10

3d = 43 + -10

Combine like terms: 43 + -10 = 33

3d = 33

Divide each side by '3'.

d = 11

Simplifying

d = 11

Hope this helps!

Answer:I believe it's 31,771

Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.

Scott earns $31,771 altogether during those three months.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

We have to determine that Scott earn altogether during those three months.

We have been given that in January, Scott earned $8,999.

In February, he earned $2,387 more than in January.

So we have to add the amount of January and 2,387, we get

⇒ 8,999 + 2,387 = 11,386

In March, Scott earned the same amount as in February.

So the amount of March = 11,386

Therefore, He earns altogether during those three months as

⇒ 8,999 + 11,386 + 11,386

Apply the Addition operation in the above expression,

⇒ 31,771

Hence, Scott earns $31,771 altogether during those three months.

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Answer:

f(-5) = 50

Step-by-step explanation:

Simply plug in -5 for x into the function:

f(-5) = (-5)² - 5(-5)

f(-5) = 25 + 25

f(-5) = 50

Answer:

109

Step-by-step explanation:

To solve you must work backward, she has 8 jars of 13 pieces so first do

8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109

Answer:

109

Step-by-step explanation:

If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.

Answer: vertical translation

Step-by-step explanation:

A function is even if:

f(x) = f(-x)

and a function is odd if:

f(-x) = -f(x).

Now, we want to find a translation that only affects the symmetry of an odd function (but not that one of the even function).

The correct answer will be a vertical translation, now let's prove it.

when we have a function f(x) and we want to transform it into g(x), such that g(x) is a vertical translation of (for example) A units up, we can write the relation as:

g(x) = f(x) + A.

Now, let's see if this preserves the symmetry of the original function.

1) if f(x) is even, then:

g(x) = f(x) + A

g(-x) = f(-x) + A

But we know that f(-x) = f(x)

then:

g(-x) = f(-x) + A = f(x) + A = g(x)

this means that g(x) is even, the symmetry of an even function is not affected by this transformation.

Now suppose that f(x) is odd.

Then:

g(x) = f(x) + A

g(-x) = f(-x) + A

and f(-x) = -f(x)

then:

g(-x) = f(-x) + A = -f(x) + A

and this is clearly different than g(x) = f(x) + A.

Then the odd symmetry is broken.

Answer: Increase

Step-by-step explanation: 18 is greater than 12

Answer:

k=-9

Step-by-step explanation:

[tex]2k-3(2k-3)=45\\\\2k-3(2k)-3(-3)=45\\\\2k-6k+9=45\\\\(2k-6k)+9=45\\\\(2-6)k+9=45\\\\-4k+9=45\\\\-4k+9-9=45-9\\\\-4k+0=36\\\\-4k=36\\\\\frac{-1}{4}(-4k) =\frac{-1}{4}(36) \\\\k=\frac{-36}{4} \\\\k=\frac{4*9}{4} \\\\k=\frac{9}{1} \\\\k=-9[/tex]

Answer:

Proper Subsets = 1023

Step-by-step explanation:

Given[tex]W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}[/tex]

Required

Determine the proper subsets

Proper Subset (P) is calculated using;

[tex]P = 2^n - 1[/tex]

Where

[tex]n = number\ of\ elements[/tex]

In this case;

[tex]n = 10[/tex]

So:

[tex]P = 2^n - 1[/tex]

[tex]P = 2^{10} - 1[/tex]

[tex]P = 1024 - 1[/tex]

[tex]P = 1023[/tex]

Hence;

Proper Subsets = 1023

Answer:

1024

Step-by-step explanation:

Since the measure of angle DOC = 44 degrees and it's the central angle of arc DC, the measure of arc DC = 44 degrees

Answer:

Fred has saved $115 while Wilma had saved $230

Step-by-step explanation:

Let the amount saved by Fred be F while the amount saved by Wilma be W

Together, they have saved $345

Mathematically;

F + W = 345 •••••••(i)

We are also told that Wilma has have twice as much money as Fred;

Hence; W = 2F ••••••••(ii)

To get the amount of money they both have, we need to solve the equations simultaneously

Substitute ii into i

F + 2F = 345

3F = 345

F = 345/3

F = 115

But W = 2F

W = 2 * 115

W = 230

x = a number

6(x+5)=16

Answer:

If you're using x for "a number" then: 6(x+5)=16

Answer:

y = -7x + 11

Explanation:

Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.

Answer:

The answerer to this question is a 34

Step-by-step explanation:

Answer:

A. 34

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]30x+18=35−4x[/tex]

First of all using the addition property add 4x to both sides

That's

[tex]30x + 4x + 18 = 35 + 4x - 4x \\ 34x + 18 = 35[/tex]

Next using the subtraction property subtract 18 from both sides to make 34x stand alone

We have

[tex]34x + 18 - 18 = 35 - 18 \\ 34x = 17[/tex]

Divide both sides by 34

That's

[tex] \frac{34x}{34} = \frac{17}{34} [/tex]

We have the final answer as

[tex]x = \frac{1}{2} [/tex]

Hope this helps you

Answer:

Yes

Step-by-step explanation:

I had this same question on a quiz and it is correct!

The square root of a number is equal to another number that when squared is equal to the original number.

Now we want to see if Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol, and we will see that yes, this is true.

To see that this is true:

For example, if the A and B are two numbers larger than 0, such that:

A > B

Then:

√A > √B

For example let's use A = 9 and B = 4.

9 > 4

And obviously the roots are:

√9 > √4

3 > 2

So yes, we can compare and order square roots by comparing the numbers inside of it.

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Explanation:

Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)

We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48

So the order of the terms, from smallest to largest, is [tex]\sqrt{34}, 6, 2\pi, \sqrt{42}[/tex]

Answer:

y = mx + b

m is the slope and b is the y intercept, if I remember correctly

hope this helps :)

Answer:

27.5 is the answer good luck

Step-by-step explanation:

good luck my G

Answer:

x = -2 y= -2

Step-by-step explanation:

5x+12y= -34

2x+ 4y = -12

2x= -4y -12

x= -2y -6

plug back in

5(-2y -6) +12y = -34

-10y -30 +12y = -34

2y = -4

y= -2

2x+4y=-12

4y= -2x -12

y= -.5x -3

plug back in

5x+ 12(-.5x-3)=-34

5x -6x -36 = -34

-x = 2

x= -2

Answer:

Step-by-step explanation:

5x + 12y = -34

-6x - 12y = 36

-x = 2

x = -2

5(-2) + 12y = -34

-10 + 12y = -34

12y = -24

y = -2

(-2, -2)

Answer:

$6.00-($2.00+$4.50)

in other terms, 6 - (2 + 4.5)

Step-by-step explanation:

So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.

To get how much all together, we have to add. 2 + 4.5

Now that we now how to get the total amount, out them in parentheses and add the 6 infront.

Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.

All this leads to the expression: 6 - (2 + 4.5)

Hope this helps :)