A checkbook balance sheet shows an initial balance for the month of $300. During the month, checks were written in the amounts of $25, $82, $213, and $97. Deposits were made into the account in the amounts of $84 and $116. What was the balance at the end of the month?

Answer:

its either a rectangle or a square

Step-by-step explanation:

for it to be a rectangle there must be 4 right angles, but for it to be a square, there must be both 4 right angles and each side must be the same

Answer:

-3y - 7x - 5

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

(4y - 3x - 2) - (7y + 4x + 3)

Step 2: Simplify

Answer:

b

Step-by-step explanation:

y is x + half of x so 12 + 6 is 18

Answer:

x = 120°

Step-by-step explanation:

We are given;

sec²x + 4secx = -4

Rearranging gives;

sec²x + 4secx + 4 = 0

Factorizing the left hand side gives;

(sec x + 2)(sec x + 2) = 0

This means that;

(sec x + 2) = 0

From trigonometry, we know that sec x = 1/cos x

Thus;

(1/cos x) + 2 = 0

1/cos x = -2

cos x = -1/2

cos x = -0.5

x = cos^(-1) -0.5

x = 120°

Answer:

The area will be:

[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].

Step-by-step explanation:

Using the definition of tangent, we have:

[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]

We know that tan(α) = 1, then we can find AB

[tex]1=\frac{6}{\vec{AB}}[/tex]

[tex]\bar{AB}=6\: u[/tex]

u means any unit.

Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:

[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]

[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]

[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]

[tex]\bar{BC}=6\sqrt{3} \: u[/tex]

So, the base of the triangle will be:

[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]

The area of a triangle is given by the following equation:

[tex]A=\frac{b*h}{2}[/tex]

[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]

[tex]A=18(1+\sqrt{3})[/tex]

Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].

I hope it helps you!

Answer:

6x−12x^2

Step-by-step explanation:

Answer:

Evaluated it is 6x-12x^2

Step-by-step explanation:

3x*2=6x

add minus sign

3x*4x=12x

Since 2 x add 2 as an exponent!

Answer: -4

Step-by-step explanation:

Rephrase the given expression

3 times 1/3 and subtract 5

3×1/3-5

Do multiplication first, then subtraction

 3×1/3-5

=3/3-5

=1-5

=-4

Hope this helps!! :)

Please let me know if you have any questions

Answer: See explanation

Step-by-step explanation:

a. Let the money in m savings account be represented by x.

If I doubled the money in my savings account, I would have $150.62. This means that:

(2 × x) = $150.62

2x = $150.62

Divide both side by x

2x/2 = $150.62/2

x = $75.31

The amount in the savings account is $75.31

b. Let the hourly wage be represented by x.

Three times the hourly wage plus $7.65 in tips equals $27.90. This will be:

(3 × x) + 7.65 = 27.90

3x + 7.65 = 27.90

3x = 27.90 - 7.65

3x = 20.25

x = 20.25/3

x = 6.75

The hourly wage is $6.75

Answer:

-1/2

Step-by-step explanation:

Gradient=Change in value of Y coordinates/Change in value of X coordinates.

Take two points on the line.( -2,2) and (-4,3)

Find Delta or change in the values

let assume X is the gradient.

X=3-2/-4-(-2)

X= 1/-4+2

X=1/-2 which is written as -1/2

Answer: A. The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%

Step-by-step explanation:

Number of red tiles = 9

Number of blue files = 10

Number of green tiles = 6

Total number of tiles = 9 + 10 + 6 = 25

Probability of drawing red tile = 9/25 = 0.36 = 36%

Probability of drawing blue tile= 10/25 = 0.40 = 40%

Probability of drawing green tile = 6/25 = 0.24 = 24%

Based on the explanation above, the correct answe is option A "The probability of drawing a red tile is 36% and the probability of NOT drawing a red tile is 64%".

Answer:

x = 2/3 and y = 8/9

Step-by-step explanation:

If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN

Hence IP = PD and NP = YP

Given

IP=3x

DP = 6x - 2

NP = 3y and

YP=7x-2,

Substitute

3x = 6x-2

3x-6x = -2

-3x = -2

x = 2/3

x = 0.67

Also NP = YP

3y = 7x-2

3y = 7(2/3) - 2

3y = 14/3 - 2

3y = 14-6/3

3y = 8/3

9y = 8

y = 8/9

Hence x = 2/3 and y = 8/9

The circumference when the area of a circle is 16π ft² is 8π feet.

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

From the information given the area of a circle is 16π ft² be we want to calculate the circumference, in feet. This will be Illustrated this:

Circumference of a circle = 2πr

Area of a circle = πr²

r = radius.

Therefore, based on the information regarding the area given, the radius will have to be calculated first.

Area = 16π

πr² = 16π

r² = 16π / π

r² = 16

r =✓16

r = 4

Radius = 4ft.

Therefore, the circumference will be:

= 2πr

= 2 × π × 4

= 8π

Circumference is 8π feet.

Learn more about area on

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Answer:

8.07 × 10⁸

HOPE THIS HELPS

Answer: 80%

Step-by-step explanation:

Goran watched 55 movies. Out of those movies, he thought 44 were very good.

The question needs to know what percentage this 44 very good movies comprised of the total number of movies.

= Number of very good movies / Total movies * 100%

= 44 / 55 * 100%

= 0.8 * 100%

= 80%

Answer:

a box of plan B cost roughly $50.00

it is pretty expensive but you don't need an I.D.

Step-by-step explanation:

Answer:

[tex]8 = 6 + \frac{a}{4} \\ \frac{a}{4 } = 8 - 6 \\ \frac{a}{4} = 2 \\ a = 2 \times 4 \\ a = 8[/tex]

Answer:

160$

Step-by-step explanation:

✨Magic✨ jkjk  160*.30=48

Answer:

formula = y2-y1/x2-x1

Step-by-step explanation:

(-4,-2) (-3,5)

x1=-4       x2=-3

y1=-2        y2=5

5+2/-3+4=7

so M=7

y-y1=m(x-x1)

y+2=7(x+4)

2y=7x+28

rearrange

-7x+2y-28=0

Answer:

x=1

Step-by-step explanation:

I'm not positive, it looks like a trick question but id say x=1 bc 17 × 1 is 17 and 17 is greater than -17 but then again any number greater than 1 such as 2,3,4, or 5 could work

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 is the only factor that goes into 6 and 16. (6th's Factors) 1, 2, 3 and 6

(16th Factors) 1, 2, 4, 8 and 16.

The greatest common factor of 6 and 16 is 2.

To find the greatest common factor (GCF) of 6 and 16, we need to determine the largest number that can divide both 6 and 16 without leaving a remainder.

First, we find the factors of each number:

Factors of 6: 1, 2, 3, 6

Factors of 16: 1, 2, 4, 8, 16

By comparing the factors, we can identify that both 6 and 16 have a common factor of 2. However, 6 also has a factor of 3, which is not a factor of 16.

To determine the GCF, we select the highest common factor, which is 2.

Therefore, the greatest common factor of 6 and 16 is 2.

The GCF is an essential concept in mathematics as it helps simplify fractions, factorize expressions, and solve various mathematical problems. It allows us to identify the largest number that can evenly divide two or more given numbers.

To learn more about the greatest common factor;

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Answer:

Here is 16 divided by 1/4 displayed mathematically in colors:

16

 ÷    

1

4

The numbers in 16 divided by 1/4 are labeled below:

16 = whole number

1 = numerator

4 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

16 x 4

1

 =    

64

1

Thus, the answer to 16 divided by 1/4 in fraction form is:

64

1

To make the answer to 16 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

64 / 1 = 64

The answer is rounded to the nearest two decimal points if necessary.

64/1 is an improper fraction and should be written as 64.

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Answer:

$53

Step-by-step explanation:

75-18

Answer:

linear

Step-by-step explanation:

Not sure but it would be helpful if you can show me the options. Thank y!!

Answer:

k-9=10

k=10+9

k=19

take care of yourself

have a nice day

Answer:

Awsten Knight

Step-by-step explanation:

Answer:

i  GOT C

Step-by-step explanation:

i'll help you step sis anything for you

sorry if you get it wrong dont trust the internet kids

Answer:

c

Step-by-step explanation: