Solve the word problem below.
Jane took out $135 from her checking account. If Jane now has a balance of $650 in her account, how much did Jane have in the account before she took out any money?

($785.00)

Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.​

Answer:

4. as they move clockwise they change/gain .01 points

5. .32 , .33 , .34 , .36 , .37 , .39

.8 , .81 , .83 , .85 , .86 , .88

Step-by-step explanation:

Simplifying

12x + 10 + 3 + 8x = 0

Reorder the terms:

10 + 3 + 12x + 8x = 0

Combine like terms: 10 + 3 = 13

13 + 12x + 8x = 0

Combine like terms: 12x + 8x = 20x

13 + 20x = 0

Solving

13 + 20x = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.

13 + -13 + 20x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 20x = 0 + -13

20x = 0 + -13

Combine like terms: 0 + -13 = -13

20x = -13

Divide each side by '20'.

x = -0.65

Simplifying

x = -0.65

Answer:

You have to do like terms

Step-by-step explanation:

12x+10+8+8x

12x+8x = 20x

10+3 = 13

your answer would be

20x+10

Answer:

[tex]8x - 26 \\ -16x - 4 \\ -12x + 15[/tex]

Step-by-step explanation:

2(4x - 8) - 10

8x - 16 - 10

|_______|

8x - 26

-5x + 8 - 11x - 12

___ ___ _____ ____

___ ____

-16x - 4

-3(4x - 5)

-12x + 15

For the third and first exercises, you just use the Distributive Property, and for the second exercise, all you are doing is combining like-terms.

I am joyous to assist you anytime.

Answer:

2x-4 = 22

2x = 26

x=13 check |26-4|=22

-(2x-4) = 22

-2x+4 = 22

-2x = 18

x=-9 Check |-18 -4| = |-22| = 22

Answer:

x=13

Step-by-step explanation:

Finding the answer to this is very simple actually. you can actually solve this problem without the || because x has to be a positive value for this to work. 2x-4=22 can be done by adding 4 to both sides and getting the answer 26. Isolate the variable by dividing both sides by 2 to get x=13

Let n = the number

(1/5)n - 7

Answer:

Step-by-step explanation: Edmentum Answer

Answer:

Step-by-step explanation: I got it wrong lol

Answer: The comic book was $3.

Step-by-step explanation:

Instead of 5x=8, it should have been 5+x=8 because he only purchased a single comic book. Subtract 5 from 8 and your X value is 3.

Answer:

Liam spent $3 on the book.

Step-by-step explanation:

Liam bought a comic book and had $5 left.

He had a total of $8 walking into the store, so he spent [tex]8-5=3[/tex] dollars on the comic book.

Liam used the equation 5x=8 to model the problem.

This is wrong. The correct form would have been [tex]8-x=5[/tex] or [tex]5+x=8[/tex] where x represents the amount of money he spent.

Hence, Liam spent $3 on the book.

Answer:14

Step-by-step explanation:

Answer:

it's 15

Step-by-step explanation:

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

We are just cutting the price in half, or 50%.

Hope this helps you!

The farmer can determine the dimensions of the fenced area by solving the formula L + 2W = 180 feet, where L is the length of the fenced region along the river bank and W is the width.

This is a classic application of the perimeter of a rectangle in the field of Mathematics. If the farmer is using part of a straight river bank instead of fencing for one side of the rectangle, then he only needs fencing for the other three sides. The formula to calculate the perimeter of a rectangle is 2(length) + 2(width), but since one side is not fenced, it is length + 2(width) in this case.

If we assume the length (L - along the river bank) and width (W) of the rectangular area, then the equation can be expressed as:

L + 2W = 180 feet

This formula can help the farmer calculate the dimensions of the fenced area needed in order to use his materials most effectively. He needs to solve this equation to find the values of length and width that add up to 180 feet.

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Answer:

Step-by-step explanation:

I don't know exactly how simplified it will be, but you can get the square root smaller.

180: 2*2 * 3*3 *5

For every pair of prime factors you can take 1 of the pair outside the the square root and throw the other one away

sqrt(2*2*3*3*5) = 2 * 3 * sqrt(5) = 6*sqrt(5)

Answer:

x=-y

Step-by-step explanation:

Answer:

14/18 = 0.778

Step-by-step explanation:

14 divided by 2 = 7

18 divided by 2 = 9

7/9 is the same as 7 divided by 9

= 0.778

The decimal equivalent of [tex]\( \frac{14}{18} \)[/tex] is approximately 0.777777777777778.

To convert [tex]\( \frac{14}{18} \)[/tex] to a decimal, one divides 14 by 18. This can be done by hand or with a calculator. When dividing 14 by 18, the result is a repeating decimal where the digit 7 repeats indefinitely. This repeating decimal can be represented as 0.777777777777778 when rounded to the nearest 10th decimal place.

Alternatively, one can simplify the fraction [tex]\( \frac{14}{18} \)[/tex] before converting it to a decimal. By dividing both the numerator and the denominator by their greatest common divisor, which is 2, the fraction simplifies to [tex]\( \frac{7}{9} \)[/tex]. When 7 is divided by 9, the result is again the repeating decimal 0.777777777777778.

In summary, [tex]\( \frac{14}{18} \)[/tex] simplifies to [tex]\( \frac{7}{9} \)[/tex] and as a decimal, it is approximately 0.777777777777778.

Answer:

13 plants.

Step-by-step explanation:

We have been given that Malachi’s garden is 2 3/5 meters long. He wants to plant tomato plants every 1/5 of a meter.

To find the number of tomato plant that will fit the garden, we will divide length of garden by 1/5 as:

[tex]\text{Number of tomato plant that will fit the garden}=2\frac{3}{5}\div \frac{1}{5}[/tex]

Convert mixed fraction into improper fraction:

[tex]2\frac{3}{5}\Rightarrow\frac{2\times5+3}{5}=\frac{10+3}{5}=\frac{13}{5}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\div \frac{1}{5}[/tex]

Convert to multiplication problem by flipping the 2nd fraction:

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\times \frac{5}{1}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{1}\times \frac{1}{1}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=13[/tex]

Therefore, 13 plants will fit Malachi's garden.

Answer:

Step-by-step explanation:

the x-intercept when y = 0

1 ) 1/5 x +3 =0    1/5x = - 3 so : x = -15

2) 6x -7 = 0       6x = 7   so ; x =7/6

3) -8/3x +9 = 0    -8/3 x = -9  so  : x =27/8

Answer 0.0000001356

Step-by-step explanation:Since the exponent of the scientific notation is negative, move the decimal point

8 places to the left.

Answer:

-6

Step-by-step explanation:

[tex] | - 2| = 2 \\ {( - 2)}^{3} = ( - 2)( - 2)( - 2) = ( - 8) \\ \\ | - 2 | + {( - 2)}^{3 } = 2 - 8 = - 6[/tex]

To evaluate the expression |b|+b^3 when b=-2, substitute -2 for b, evaluate |b| and b^3 separately and then add the results.

To evaluate the expression |b|+b^3 when b=-2, we substitute -2 for b in the expression.

The absolute value of a number is that number's distance from zero on a number line, regardless of which direction. This means that the absolute value of any negative number is its positive equivalent. Thus, |b| is the same as |-2|, which equals 2.

Secondly, b^3 means b multiplied by itself twice. So (-2)^3 equals -2*-2*-2 which is -8.

First, we evaluate |b|. The absolute value of -2 is 2, so |b| = 2.

Next, we evaluate b^3. (-2)^3 = -8.

Finally, we add the two results together: 2 + (-8) = -6.

Therefore, when b=-2, the expression |b|+b^3 evaluates to -6.

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Answer:

The graph of the function has three vertical  asymptotes

Step-by-step explanation:

we have the function

[tex]f(x)=\frac{5}{3x(x+1)(x-7)}[/tex]

we know that

To find the vertical asymptotes of a rational function, simply set the denominator equal to 0 and solve for x.

so

[tex]3x(x+1)(x-7)=0[/tex]

The values of x are x=-1,x=0, x=7

using a graphing tool

see the attached figure to better understand the problem

therefore

The graph of the function has three vertical asymptotes

Answer:

3. The answer is 3

Step-by-step explanation:

Answer:

y=3x-5

Step-by-step explanation:

parallel means that both lines share the same gradient.

from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form

now substitute values into formula

y-y1=m (x-x1)

y--2=3 (x-1)

expand brackets and simplify

y+2=3x-3

subtract 2 from both sides of equation

y=3x-5

Answer:

129,407.

Step-by-step explanation:

12 ten-thousands = 12*10000=120,000.

8 thousands = 8*1000=8000;

this gives us 120,000+8,000=128,000.

14 hundreds = 14*100=1400;

this gives us 128,000+1,400=129,400.

7 ones = 7*1=7;

this gives us 129,400+7=129,407.

Answer:

12,000 8,000 1,400 7

Step-by-step explanation:

I hope u get a tutor if u dont know how to do this I hope this helps

Answer:rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Answer:

About 151.500

Step-by-step explanation:

Actual answer is 151.528 Just go with mental math.

Greetings!

First off, we should know that there are 60 minutes in an hour. Therefore, the first step we will need to do, is divide 60 by 10.

60 ÷ 10 = 6

As shown above, we now know we will have to double the number 6 times. If we start with 30, this will be our first problem.

(1)   30 + 30 = 60

And so on and so forth...

(2)   60 + 60 = 120

(3)   120 + 120 = 240

(4)   240 + 240 = 480

(5)   480 + 480 = 960

(6)   960 + 960 = 1920

And after our sixth time we have our answer:

1920 bacteria

Hope this helps!

~Fluerie

Answer:

(5 x 100) + (2 x 50) + (1 x 1) + (9 x 0.10) + (8 x 0.01) + (5 x 0.001)

Answer:

(5 x 100) + (1 x 50) + (1 x 1) + (9 x 1/10) + (8 x 1/100) + (5 x 1/1000)

step by step explanation:

500 + 50 + 1 + 0.9 + 0.08 + 0.005

= 551.985

Answer:

The fraction number is [tex]\frac{34}{9}[/tex]

Step-by-step explanation:

we have

[tex]3.777...[/tex]

This is a repeating decimal  (a decimal that has a digit, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

[tex]x=3.777...[/tex]

[tex]10x=37.777...[/tex]

we know that

[tex]10x-x=37.777...-3.777...[/tex]

[tex]9x=34[/tex]

[tex]x=\frac{34}{9}[/tex]

therefore

The fraction number is [tex]\frac{34}{9}[/tex]

The next number in the sequence is 36.

Starting from 1, the number increases by 3, 1 + 3 = 4. But the next number, the number it's being increased by increases by 2. 3 + 2 = 5, 4 + 5 = 9. And again, 5 + 2 = 7, 7 + 9 = 16. And again. 7 + 2 = 9, 16 + 9 = 25. Therefore, it is increased to + 11, and the next number is 36.

I hope this helped, and you have a great day!

Answer:

36

Step-by-step explanation:

Answer:

he had 1/4 of the pie; there's 3/8 left over. That's also 37.5% of the pie left over. Not sure what you're trying to get.

Step-by-step explanation:

1/4 is also 2/8

Answer:

0 I think

Step-by-step explanation:

Answer:

25/12 or 2 1/12

Step-by-step explanation:

4/3 - (-3/4) =

= 4/3 + 3/4

= 16/12 + 9/12

= 25/12

= 2 1/12

Answer:

1, 2, 3, 4, 6, 8, 9

The number 3456 is divisible by the single-digit numbers 2, 3, 4, 6, and 8.

The number 3456 is divisible by the single-digit numbers 2, 3, 4, 6, and 8.

To determine if a number is divisible by another, we check if the remainder is 0 when dividing the number being tested by the potential divisor. In this case, for example, if we divide 3456 by 2, we get no remainder, so it is divisible by 2.

Similarly, if we divide 3456 by 3, 4, 6, or 8, we get no remainder in each case, so it is also divisible by these numbers.

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