Q14
How can I prove (a)

Answer: The answer is 3

Step-by-step explanation:

Factors of 13 are 1, 13, and there are 2 integers that are factors of 13. The greatest factor of 13 is 3

Answer: $52.57 for each basic yearbook and $153.5 for each deluxe yearbook

Step-by-step explanation:

First, do Mr. Boyer's class to find out how much each deluxe yearbook is:

2,763 ÷ 18 = $153.5

Then do, Mrs. Wu's class: First, multiply 153.5 by the 6 deluxe yearbooks ordered;

153.5 x 6 = 921

After, subtract 921 from 2,025:

2,025 - 921 = 1104

The remaining $1104 is the total cost of the 21 basic yearbooks ordered. Divide the total cost by the number of yearbooks ordered to find the unit price:

1104 ÷ 21 = 52.5714285714

Round to the nearest hundredth: $52.57

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Answer:

Step-by-step explanation:

Subtract the values:

Answer:

The correct answer is "x = 4" and "x = -12".

Step-by-step explanation:

The given equation is:

⇒  [tex]x^2+8x-30=18[/tex]

On subtracting "18" from both sides, we get

⇒  [tex]x^2+8x-30-18=18-18[/tex]

⇒  [tex]x^2+8x-48=0[/tex]

On applying factorization, we get

⇒  [tex]x^2+12x-4x-48=0[/tex]

On taking common, we get

⇒  [tex]x(x+12)-4(x+12)=0[/tex]  

⇒  [tex](x-4)(x+12)=0[/tex]

⇒                 [tex]x-4=0[/tex]

                          [tex]x=4[/tex]

or,

⇒               [tex]x+12=0[/tex]

                         [tex]x=-12[/tex]    

Step-by-step explanation:

A. Base = (-3)

B. Exponent = 5

C. (-3)^5

= (-3) × (-3) × (-3) × (-3) × (-3) (In expanded notation form)

D. Evaluation of equation will be = -243

In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y -intercept  of the line.

Now, According to the question:

i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.

ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept  of the line.

iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.

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Answer:

15 q4. + 7p2q2 is the correct answer

Answer:

where is the question?

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

A log graph can be either increasing or decreasing, depending on the function or data being graphed.

A log graph is a type of graph that displays the data on a logarithmic scale. That is, the values of the data are represented on a logarithmic scale, rather than on a linear scale. This type of graph is useful for displaying data or functions that span a wide range of values over a large range of exponents. The direction of the graph depends on the data being graphed or the function being shown. If the values of the data or the function being graphed increase over time, then the graph will be increasing. Conversely, if the values of the data or the function being graphed decrease over time, then the graph will be decreasing.

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Answer:

y= 2x

Step-by-step explanation:

no y cause the y-intercept is 0, so just y=2x

and i got 2 from dividing 24/12 and 48/24 giving me the x.

Answer:

Step-by-step explanation:

Two points on this line are (36, 72) and (0, 0).  These are 'nice' points in that they are exactly at the intersection of grid lines.

The slope can be found immediately from (36, 72) if the other point is (0, 0):

m = rise / run = 72/36 = 2

Adapting the slope-intercept formula y = mx + b, and using the point (0, 0), we get 0 = 2(0) + b, which tells us that b = 0.  Then the equation of the line in this graph is y = 2x.

Answer:

e) 4

Step-by-step explanation:

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x−h)^2+(y−k)^2=r^2

r=4

h=0

k=0

Answer:

-11

Step-by-step explanation:

Answer:

I believe it's 39.

(9 - 2)^2 - |3 - 17| + 4

(7)^2 - |-14| + 4

49 - 14 + 4

35 + 4

39

Answer:

x=3

Step-by-step explanation:

Right triangle so you can use pythagorean theorem

a squared + b squared = c squared

b=x

14^2 + b^2= 17^2

14+b=17

b=3

Answer:

= or >14

Step-by-step explanation:

x needs to be equal to or greater than 14

The new income is new income.

Generally, To find the new income of the man, we can use the formula: New Income = Original Income + Increase in Income

Since the ratio of increase in income is 7:8, we can assume the original income to be 7x and the new income to be 8x.

The increase in income is given as Rs. 4500 per month, so we can set up the equation as:

8x = 7x + 4500

By solving for x, we get that

x = 4500.

Therefore, the new income of the man is

8x = 8 * 4500

= Rs. 36000 per month.

b)

The ages of the two sisters are in the ratio 7:5. If the elder sister is 15 years 9 months old, we can assume her age in months to be

15*12 + 9 = 189 months.

Let's assume x be the age of younger sister in months.

So, according to the ratio 7:5, we can set up the equation as:

x = (5/12)*189

By solving this equation we get

x= 78.75 months, which is roughly 6 years and 6 months.

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Answer:

it is D.

Step-by-step explanation:

I wish it helps you

Answer:

I think its D

Step-by-step explanation:

cuase the fruits are cheap and it's the lowest

The distance from concord to Matthews is solved to be 14.8 miles

Information from the question include

charlotte is 7 miles south of concord

Matthews is 13 miles west of charlotte

the distance from concord to matthews = ?

The required distance is solved using using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 13² + 7²

x² = 169 + 49

x² =  218

x = √218

x = 14.7648

x = 14.8 (to 3 SF)

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Answer:

1080

Step-by-step explanation:

the formula for finding volume is

length x width x height

so 12 x 15 x 6 which is 1080.

Yes, 5x - 3y = 7 is a linear equation in two variables (x and y)

A linear equation in two variables is an equation in the form ax + by = c, where a, b, and c are real numbers and a and b are not both 0. In this equation, 5x 3y, the coefficients of the variables are 5 and 3, respectively, so a = 5 and b = 3. Therefore, 5x 3y is a linear equation in two variables.

A linear equation in two variables (x and y) is an equation that can be written in the form ax + by = c, where a and b are real numbers and a and b are not both 0. This means that any equation that has two variables with real coefficients will be a linear equation. For example, 5x 3y is a linear equation in two variables because the coefficients of the variables x and y are 5 and 3, respectively. Therefore, 5x 3y is a linear equation in two variables.

the complete question is : Is 5x-3y=7 a linear equation in one variable?

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Answer:

The probability of winning a straight bet is 1/100, and the payout is $50, so the expected value of a winning bet is (1/100) * $50 = $0.50.

The probability of losing a straight bet is 99/100, and the cost of the bet is $1, so the expected value of a losing bet is (99/100) * -$1 = -$0.99.

Therefore, the expected value of a straight bet is $0.50 - $0.99 = -$0.49.

The sum of 8.8 and 5.5 is 14.3

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

To find the sum of 8.8 and 5.5 without using pen and pencil:

First, we break the term in simple manner.

8.8 = 8 + 0.3 + 0.5

And 5.5 = 5 + 0.5

And now adding the terms one by one,

0.5 + 0.5 = 1.0

0.3 = 0.3

8 + 5 = 13

Addition,

13 + 1 + 0.3 = 14.3

Therefore, the value is 14.3

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Answer:

6-6

........................

Answer: I would say 4 centimeters

Step-by-step explanation: Well if 24 divided by 6 equals 4 then I would say 4

Based on the length of the rope and the number of pieces it is to be cut into, the length of each piece will be 25 cm long.

First covert the length of the rope to centimeters:

= 6 x 100

= 600 cm

The length of each piece will be:

= Length of rope / Number of pieces

= 600 / 24

= 25 cm

In conclusion, each piece will be 25 cm long.

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Answer:

-33

Step-by-step explanation:

Plug 9 in for c, then simplify the resulting expression.

5c - 9c + 3

5(9) - 9(9) + 3

↓ execute multiplication

45 - 81 + 3

↓ simplify by adding 81 and 3

45 - 84

↓ execute subtraction

-33

Answer:

[tex] \sf \: - 33 \: (if \: c = 9)[/tex]

Step-by-step explanation:

Given expression,

→ 5c - 9c + 3

Now we have to use,

→ c = 9

Simplifying the given expression,

→ 5c - 9c + 3

→ 5(9) - 9(9) + 3

→ 45 - 81 + 3

→ -36 + 3

→ -33 => (answer)

Hence, required answer is -33.

Answer:

Step-by-step explanation:

Let the number be x then:.

According to the question:

6 * (x + 25) = 30

therefore,

x + 25 = 30 / 6

x + 25 = 5

x = 5 - 25 = -20

Answer:

I think it's m=8, c=0.

Step-by-step explanation:

If c is not 0 then c=-1

Answer:

7

Step-by-step explanation:

x = - 2

y = 4x - 1

= 4 ( 2 ) - 1

= 8 - 1

y = 7

y=4x-1

y=4×-2-1

y=-8-1

y=-9#