The sum of a number and fourteen is less than or equal to three times the number.

The diagonal of the square MISA bisect the angle at the vertices

The values of r, s and t are r  = 2.6, s = 34.6 and t = 6.9

The given parameters are:

MPA = (2s + 3t)º

ISP = (4r + s)°

MIS = (3s – 2t)º

The angle between the diagonal of a square is 90 degrees.

So, we have:

2s + 3t = 90

Multiply by 2

4s + 6t = 180

The angle at the vertices of the square is 90 degrees.

So, we have:

3s - 2t = 90

Multiply by 3

9s - 6t = 270

The diagonal bisect the angle at the vertex.

So, we have:

4r + s = 45

Rewrite the equations

4s + 6t = 180

9s - 6t = 270

4r + s = 45

Add the first and the second equations

4s + 9s + 6t - 6t = 180 + 270

13s= 450

Divide by 13

s = 34.6

Substitute s= 34.6 in 4r + s = 45 and 3s - 2t = 90

4r + 34.6 = 45

Solve for r

r  = 2.6

3 * 34.6 - 2t = 90

Solve for t

t = 6.9

Hence, the values of r, s and t are r  = 2.6, s = 34.6 and t = 6.9

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Answer:

Further from

Step-by-step explanation:

GOOD LUCK

Answer:

-16

Step-by-step explanation:

10 Divided by 5=2

-16 + 2 = -14

Answer:

The answer should be -80

Step-by-step explanation:

When you do the problem backwards you can get the answer. So, if you take -14, then multiply by 5, you get -70, then if you subtract 10, you get -80

The equation to predict the bowl of soup is a linear equation

The deli owner would sell 88 bowls of soup when the temperature is 32 degrees

The equation to predict the bowl of soup is given as:

s = -t + 120

Where:

From the question; t = 32

So, we have:

s = -32 + 120

Evaluate

s = 88

Hence, the deli owner would sell 88 bowls of soup when the temperature is 32 degrees

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Answer:

3x/2 =6

Step-by-step explanation:

The distance between the dog and cat is 6 miles. Then the equation is 30x = 6 or x = 0.2.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distance}{ Time }[/tex]

Bobby's cat runs at x mph. Bobby's dog runs twice as fast as his cat.

The speed of a cat is x. Then the speed of the dog is 2x.

The distance traveled by the cat in 30 minutes will be

[tex]\rm D_c = 30 \times x\\\\D_c = 30 \ x[/tex]

The distance traveled by the dog in 30 minutes will be

[tex]\rm D_d = 30 \times 2x\\\\D_d = 60 \ x[/tex]

Suppose Bobby's cat and dog were 6 miles apart after 30 minutes.

[tex]\rm D_d - D_c \ \ = 6\\\\60x - 30x = 6\\\\30x = 6[/tex]

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Answer:

Trapezoid

Step-by-step explanation:

If you create a graph and mark down the x values and y values in the correct spots, then connect the lines, it should make a trapezoid.

Answer:

f(g(x)) = 9x + 1

Step-by-step explanation:

f(x) is defined as 3x + 1.  To find f(g(x)), substitute g(x) = 3x for x in f(x):

f(g(x)) = 3(g(x)) + 1 = 3(3x) + 1 = 9x + 1

or:

f(g(x)) = 9x + 1

Answer:

answer is 6 classes

Step-by-step explanation: So first you subtract 15 from 75 to be left with 60

then you do 60/10 which would be 6

Hope this helped!

Answer:

Using the slope-intercept form, the slope is 2 .

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

0.21212121212121

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{In order to convert a fraction to decimal, you have to DIVIDE the}\\\large\text{numerator (the TOP number) from the denominator (the BOTTOM}\\\large\text{number) \& you should be able to find the answer if you did the}\\\large\text{the equation right. }[/tex]

[tex]\large\text{Converting fraction to a decimal formula is:}[/tex]

[tex]\rm{\dfrac{a}{b}}\\\\\rm{= a \div b}\\\\\rm{= decimal\ form}[/tex]

[tex]\large\text{Solving for the current equation:}[/tex]

[tex]\large\boxed{\rm{\dfrac{21}{99}}}\\\\\\\large\boxed{\rm{= 21\div 99}}\\\\\\\large\boxed{\rm{= 0.212121}}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{0.212121}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

6

Step-by-step explanation:

8-2=6

The result after solving graphically is → +6.

We have the following expression -

8 + (-2)

We have to find the result graphically.

In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

According to the question, we have -

8 + (- 2)

Now, 8 + (-2) can  be written as -

8 - 2

Refer to the image attached -

A distance of 8 units is marked. From it 2 is subtracted. Remaining result will be = + 6.

Hence, the result after solving graphically is → +6.

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Answer:

110

Step-by-step explanation:

The required result from the encryption of the number $3$ is 110.

Given that,
Carlos wants to send Cecil a message encrypted with RSA. Cecil has published his public encryption exponent $5$ and his public modulus $133$. When Carlos encrypts the number $3$ with this system, what is the result is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

Here,
Encrypt message M = 3
Public key = (133, 5)
When [tex]M^e[/tex] = [tex]3^5[/tex] = 243 divided by 133 gives the remainder of C = 110,

Thus, the required result from the encryption of the number $3$ is 110.

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Answer:

420 $40 tickets.

Step-by-step explanation:

Here is the explanation.

1. As 700 tickets cost a total of $33600, the average cost of each ticket is $48.

2. As there are 700 total tickets with each costing $40 or $60, we can use the total cost ($33600) to define the amount of each ticket.

3. If there were to be 420 $40 tickets, there will be 280 $60 tickets.

4. This means that the cost of each price of tickets ($40 and $60) will be distributed evenly among the total price, each costing $16800.

5. 420 x 40=16800 280x60=16800

6. There are 420 $40 tickets sold at the concert.

Hope the explanation helps!

Answer:

15 + 3w

Step-by-step explanation:

3(5 + w) ← multiply each term in the parenthesis by 3

= 15 + 3w

Answer:

[tex]\huge\boxed{\sf{15+3w}}[/tex]

Step-by-step explanation:

Hello.

Remember, equivalent means equal.

So we need to find an expression that is equal to the given expression.

In order to do it, we should use the Distributive Property and distribute 3:

3(5+w)

15+3w

I hope it helps.

Have an awesome day.

[tex]\boxed{imperturbability}[/tex]

It would take about 1.94 seconds for the soccer ball to hit the ground.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the soccer ball after time t, hence:

h(t) = -16t² + 30t + 2

The soccerball hits the ground when h = 0, hence:

0 = -16t² + 30t + 2

t = 1.94 seconds

It would take about 1.94 seconds for the soccer ball to hit the ground.

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Answer:

60,600,2400

Step-by-step explanation:

12 x 5=60, 50 x 12=600, 200 x 12=2400.

Solving

Before starting to solve the question we can easily identify that we need to divide the total number by the amount of equal pieces.

The reason we are going to divide is because when you divide a number you are distributing it into equal groups.


8,225 ÷ 5 = 1645


Answer

Meaning each of the boards will be 1645 feet in length

Answer:

x=57

Step-by-step explanation:

Since the angles 'x' and '2x+7' add up to a supplementary angle (straight line)

we can then say;

[tex]x + 2x + 9 = 180[/tex]

[tex]3x = 180 - 9[/tex]

[tex]3x = 171[/tex]

[tex]x = \frac{171}{3} = 57[/tex]

Answer:

I think 57

Step-by-step explanation:

x+2x+9=180

3x+9=180

3x=180-9

3x=171

x=57

Answer:

r×4=x x×2=c

Step-by-step explanation:

Hope this helps

Answer:

The area of the new circle is 16 times larger.

Answer:

8

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

Step-by-step explanation:

AM switches to PM at 12 PM.

so, we need to calculate the time from 9:23 am to 12 pm, and then from 12 pm to 2:06 pm, and then add both for the overall answer.

the first full hour after 9:23 am is 10 am. from there it is 2 hours to 12 pm.

how many minutes from 23 minutes to 60 (of the next full hour) ? 60 - 23 = 37 minutes.

so, it is 2 hours and 37 minutes until 12 pm.

and from 12 pm to 2:06 pm it is 2 hours and 6 minutes.

the total time is then

2 hours 37 minutes + 2 hours 6 minutes =

= 2 + 2 hours 37 + 6 minutes = 4 hours 43 minutes

FYI

if the sum of the minutes would have been larger than 60 (like e.g. 53 + 12), then we would have had to add another hour as a carry over, and take the remainder of minutes/60 as minutes.

e.g.

2 hours 53 minutes

3 hours 12 minutes

would sum up to

5 hours 65 minutes = 6 hours 5 minutes

Answer:

428 square ft

Step-by-step explanation:

to do this you can break the shape up into multiple pieces

you can do it this way

the top left part of the polygon could be one shape

9 by 10

this is because if the left side is 23 and part of the left side is 13 the leftover part is 10

then the bottom is 13 by 26

then you multiply and add them together

(9 * 10) + (13 * 26) = 90 + 338

then you add

90 + 338 = 428

the answer is 428 square ft

Surface Area:

A triangular prism is made up of 3 rectangles and 2 triangles.

Area of a rectangle = base x height

Area of a triangle = 1/2 x base x height

Rectangle: 5.6 x 2.7 = 15.12

All 3 rectangles: 15.12 x 3 = 45.36

Triangle: 1/2 x 2.7 x 2.3 = 3.105

Both triangles: 3.105 x 2 = 6.21

Surface Area: 45.36 + 6.21 = 51.57 mm^2

Volume:

Volume of a triangular prism = base area x height

Triangle area = 3.105

Height = 5.6

Volume: 3.105 x 5.6 = 17.88mm^3

Hope this helps!

Answer:

14.

Step-by-step explanation:

-67 - (-81)=14

Answer: m = -⁸⁄₅

PLz mark brsinliest:)

The slope of the line containing the points (5,-8) and (-5,8) is -8/5 after using the concept of the slope of a line.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The line containing the points (5,-8) and (-5,8)

A straight line is a combination of endless points joined on both sides of the point.

As we know from the formula of the slope:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rm m =\dfrac{8-(-8)}{-5-5}[/tex]

m = (8 + 8)/(-10)

m = -16/10

m = -8/5

Thus, the slope of the line containing the points (5,-8) and (-5,8) is -8/5 after using the concept of the slope of a line.

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Answer:

elevation and depression or trigonometry

Step-by-step explanation:

x = 20/tan60°

x=11.547