how much less than 6 is the sum of 2 3/4 and 2 4/5

Lineal function

y = mx+b

Replacing with the values given:

y = 2x+7

y=2(8)+7

y= 23

Step-by-step explanation:

remember, when 2 signs collide (like a mathematical operation and the sign of an operand of that operation), the following is always true (for additions/subtractions and multiplications/divisions) :

+ + = +

+ - = -

- + = -

- - = +

and don't forget : when a number or term is positive, we usually don't write the sign. only the mathematical operation.

1. 2 - 3 = -1

2. 11 - 10 = 1

3. 3 - 5 = -2

4. 22 - 21 = 1

5. -8 + 44 = 36

6. -12 + 6 + 3 = -3

7. 16 + 12 = 28

8. -36 + 36 = 0

9. -4 × 10 = -40

10. -1 × -1 = 1

11. 7 × -7 = -49

12. -4 / 4 = -1

13. -7 × -5 = 35

14. -10 × 8 = -80

15. -2 × -7 = 14

Work Shown:

[tex](x_1,y_1) = (1,-3) \text{ and } (x_2,y_2) = (4,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - (-3)}{4 - 1}\\\\m = \frac{0 + 3}{4 - 1}\\\\m = \frac{3}{3}\\\\m = 1\\\\[/tex]

The value of the function n(x) = -1 -x + 4 when x = -2,0, and 5 are  respectively.

Function:

A function is defined as a relationship between a set of inputs having one output each.

It can be represented as f(x).

Given,

Here we have the function

n(x) = -1 -x + 4

And we need to find the value of the function when x takes the values -2, 0 and 5.

To solve this one, then we have to put the value of x on the function and then we have to simplify it in order to get the value of the function.

For that first we have to put the value of x = -2, then we get,

n(-2) = -1 - (-2) + 4

n(-2) = -1 + 2 + 4

n(-2) = -1 +6

n(-2) = 5

Now we have to apply the value of x as 0, then we get the value of function as,

n(0) = -1 - 0 + 4

n(0) = -1 + 4

n(0) = 3

Finally we gave to apply the value of x as 5, then we get the value of n(5) as,

n(5) = -1 - 5 + 4

n(5) = -6 + 4

n(5) = -2

Therefore, the resulting values are 5, 3 and -2.

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The order of the scale from smallest to the largest is:

The smallest = 1 inch to 3 yards

The middle : 1 inch to 1.1 yards

The largest : 1 inch to 1 yard

A scale drawing is either a larger or smaller version of a diagram.  A scale factor provides information on the unit of conversion between the original image and the scale drawing.   A scale factor is the ratio of the length of the scale drawing to the length of the actual drawing.

The first step is to convert the given scale factors to the same units of measurement.

All of the measurements would be converted to yards

1 feet = 3 yards

1 inch to 3 yards

1.1 yards = 1 meter

1 inch to 1.1 yards

1 inch to 1 yard

The smallest = 1 inch to 3 yards

The next : 1 inch to 1.1 yards

The largest : 1 inch to 1 yard

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Answer:

1) 5x-8

2) 2x(4x+3)  

Step-by-step explanation:

First Triangle:

This is a special right-angled triangle and is known as 45°-45°-90° triangle

To solve for any side length, we can use the following procedure.

As you can see, the sides opposite to the 45° are equal and in this case, both are 3

Then the side opposite 90° will be

Therefore, the side a = 3√2

Second Triangle:

This is a special right-angled triangle and is known as the 30°-60°-90° triangle.

To solve for any side length, we can use the following procedure.

As you can see, the side opposite the 30° is the smallest.

The side opposite the 60° is 2 times the side 30°

The side opposite the 90° is √3 times the side 30°

For the given case, we want to know the side opposite of side 30°

We are given the side opposite the 60° that is 8

Therefore, side h = 4

The answer for 2+22+222+2222+22222 is 24690

Answer:

22222222222

Step-by-step explanation:

222+22+2222+22²22

The slope of the given line a is found as 4.

For the given question;

The graph of the given line a is given.

Select any two points from the graph lying on the line.

(x, y) = (1, 1)

(x, y) = (2,5)

Thus, the slope will be;

Slope = m = (y - y)/(x - x)

m = (5 - 1)/(2 - 1)

m = 4/1

m = 4

Thus, the slope of the given line a is found as 4.

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Equation of the line through the given pair of points.(-7,-1) and (-2,-8) is

5y ++7x = -54

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line. Any line's equation can be used to determine whether a given point is on the line or not. A linear equation with a degree of one is the equation for a line.

general equation of line is

[tex](y_{} -y_{1})=\frac{y_{2} -y_{1}}{x_{2} -x_{1}} (x_{} -x_{1})[/tex]

here [tex]x_{1} is -7 \\ y_{1} is -1[/tex]

y +1= [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex](x+7)

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

5y +5 = -7x -49

5y ++7x = -54

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Answer:

Jake = 24

Jan = 48

Step-by-step explanation:

J = Jan

X = Jake

2x + x = 5x - 48

2x = 4x - 48

-2x = -48

x = 24

Jake = 24

Jan = 48

Answer:

70

Step-by-step explanation:

[tex]56(5/4)=70[/tex]

The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds

Given,

The number of questions = 2

Time taken to complete 2 questions = 9 minutes

Now,

The number of questions = 5

We have to find the time taken to complete 5 questions:

We can consider ratio here:

That is,

Number of questions : Time taken to complete

So,

2 : 9 and 5 : x

Lets equate:

2 : 9 = 5 : x

That is,

2x = 5 × 9

Now, divide 2 on both sides:

2x/2 = (5 × 9) / 2

Here,

x = 45/2

Then,

x = 22.5

Converting this into minutes, we get 22 minutes, 30 seconds.

That is,

The time taken to complete 5 questions is (option b) 22 minutes, 30 seconds

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Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.

What are mixed fractions?

Converting each mixed fraction to an improper fraction and then decimal to compare between two values, we get-

Cooper's jump rope length= [tex]4\frac{2}{5}[/tex] = 22/5 =4.4 m

Luke's jump rope length = [tex]4\frac{3}{4}[/tex] = 19/4 = 4.75 m

Luke's jump rope is greater than cooper's by 4.75-4.4 =0.35m

Comparing both lengths, we get that Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.

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From the equation 3x + 59 = 120, the unit cost of the shirts is $20.33.

An equation is a mathematical statement used to equate two mathematical expressions.

To demonstrate equality, equations use the equation symbol (=).

The total amount spent on new clothes = $120

The number of shirts bought = 3

The cost of the pair of pants bought = $59

Equation of the situation is 3x + 59 = 120,where x = the unit cost of the shirts.

3x + 59 = 120

Subtract 59 from both sides:

= 3x + 59 - 59 = 120 - 59

Simplify both equations:

3x = 61

Divide both sides by 3:

3x/3 = 61/3

x = 20.33

Thus, we can conclude that the equation for the new clothes Jennifer bought at the mall shows that each shirt costs $20.33.

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T-Mobile charges a base fee of $15 per month plus $0.05 for each minute. 300 minutes long would you need to call for them to charge the same amount.

Given that,

T-Mobile charges a base fee of $15 per month plus $0.05 for each minute you are on the phone for any long-distance call, while Verizon has a basic rate of only $10 per month but charges $0.10 for long-distance calls.

We have to find how long would you need to call for them to charge the same amount.

We can write the equation as

15+0.05x=0.10x

0.05x-0.10x=-15

-0.05x=-15

0.05x=15

x=15/0.05

x=300 minutes

Therefore, 300 minutes long would you need to call for them to charge the same amount.

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Corresponding parts of congruent triangles are congruent.

What do you mean by congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into one another by an isometry, which is a combination of rigid movements like translation, rotation, and reflection. This indicates that one item may be exactly aligned with the other object by moving and reflecting it, but not by resizing it. So if we can cut out and then perfectly match up two separate plane figures on a sheet of paper, they are congruent. The paper may be turned over.

Corresponding parts of congruent triangles are congruent.

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Answer:

The correct option is B.

The probability that you win a prize is 0.00003797372

From the question, we have the following parameters:

Sample Space = 1 to 22

This means that

Sample size, n = 22 i.e. the count of numbers from 1 to 22

The count of numbers to be drawn is 5

So, the individual probabilities are

P(1) = 5/22

P(2) = 4/21

P(3) = 3/20

P(4) = 2/19

P(5) = 1/18

The probability of winning is the product of the above

So, we have

p = 5/22 * 4/21 * 3/20 * 2/19 * 1/18

Evaluate

p = 0.00003797372

Hence, the probability is 0.00003797372

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Answer:

here,

2x=76 (because of adjacent angle)

76/2=x

x=38

again,

x+y=180(because of straight angle)

y=180-38

y=142

Answer:

9: m = 15h

10: d = 6.5t

13: No because the ratios are not equivalent as they start with$450.

We have that the Decrease of £16870 by 3%  is mathematically given as

P=168193.9=>168193.90 2dp

Arithmetic

Question Parameters:

Decrease £16870 by 3% Give your answer rounded to 2 DP.

Generally the equation for the 3%  of 16870  is mathematically given as

X=0.03*16870

X=506.1

Therefore Decrease £16870 by 3% we have

16870  - 506.1

P=168193.9

Answer:

= £16363.9

Step-by-step explanation:

- Decrease is a reduction and can be done only by subtraction in two ways;

[tex] = (100 - 3)\% \\ = 97\%[/tex]

- Then multiply the result to the value being decreased;

[tex] = \frac{97}{100} \times 16870 \\ \\ = 16363.9 \: \: euros[/tex]

[tex] = \frac{3}{100} \times 16870 \\ \\ = 506.1 [/tex]

- Then reduce the original by the result:

[tex] = 16870 - 506.1 \\ = 16363.9 \: euros[/tex]

Answer: y = 20.48

Step-by-step explanation:

To get rid of the denominator under the y you must multiply the entire equation by 4.

y = 20.48

That's all :)

Answer:

20.48 :)

Step-by-step explanation:

To find y you need to do 5.12 multiplies by 4 which is 20.48. Hope this helps <3

The given inequality is true as the value on the right side of the inequality is less than the value on the left side.

What is an equality?

Inequality is a relation which makes a comparison which is non-equal between two numbers or other mathematical .

We are given an inequality 15-700<1000

The left hand side of the inequality on solving becomes,

15-700= -685

Hence the inequality becomes -685<1000

as  a negative value is always less than that of a positive values

Hence 15-700<1000

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Answer:

Discrete data

Step-by-step explanation:

Discrete data is information that can only take certain values.

A square number is the result of multiplying an integer or number by itself exponentially. Square numbers are always positive numbers. Positive sign (+) is produced when the negative sign is multiplied by itself. Option B:  64/49 is not equal to 8/7

Option B:  64/49 is not equal to 8/7

64/49 = (8/7) ^2 but not 8/7

whereas all the other options:

16/14 = 8/7

32/28 = 8/7

72/63 = 8/7

Hence, Option B:  64/49 is not equal to 8/7

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Answer: 585

Step-by-step explanation: You can multiply both numbers and divide by 2 to get the answer