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Answer:

Number of students registered in Math trail only and in Amazing Race only is 86.

Number of students who did not registered in both events = 36

Step-by-step explanation:

There are 150 students totally.

64 students registered in Math trail.

78 registered in Amazing race.

28 registered in both Math trail and Amazing Race.

We can make Venn diagram for this and answer the question.

I've attached the Venn diagram.

Using the diagram,

Number of students registered in Math trial only and in Amazing race only is 36+50= 86.

Number of students who did not registered in both events = (150-(36+28+50))=36

Answer:

Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior

Step-by-step explanation:

When a transversal cuts across two parallel lines, there are 4 major types of special angles that are formed as shown in the attachment below. They are:

1. Alternate interior angle pairs are angles that are positioned inside the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

In the figure attached below, the alternate exterior angle pairs are labelled:

<3 and <6;

<4 and 5

2. Corresponding angles: these are angle pairs that are lie in the same position of the transversal, one interior, and the other exterior to a parallel lines respectively.

In the figure attached below: the following are corresponding angles pairs:

<1 and <5;

<2 and 6;

<3 and <7;

<4 and <8

3. Consecutive Interior angle pairs: these are angles that lie in the same side of the transversal and also found opposite each other within the parallel lines.

They are labelled:

<3 and <5;

<4 and <6

4. Alternate exterior angle pairs are angles that are positioned outside of the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

They are labelled:

<1 and <8;

<2 and <7;

Answer: [tex]x= 187.5p[/tex]

Step-by-step explanation:

Given : An equation relating packets to bytes of information : [tex]b = 1,500p[/tex] where p represents the number of packets and b represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

[tex]8x=1500p[/tex]

Divide both sides by 8 , we get

[tex]x= 187.5p[/tex]

Hence, the equation represent the relationship between the number of packets and the number of bits : [tex]x= 187.5p[/tex]

Answer:

x=12000p

Step-by-step explanation:

It is Right

I Fink

Answer:

a. [tex]Savings = \$16[/tex]

b. [tex]Price = \$96[/tex]

Step-by-step explanation:

Solving (a):

[tex]Price = \$80[/tex]

[tex]Coupon = 20\%[/tex]

Required

Determine her savings.

[tex]Savings = Coupon * Price[/tex]

[tex]Savings = 20\% * \$80[/tex]

[tex]Savings = \$16[/tex]

Solving (a):

[tex]Price = \$120[/tex]

[tex]Coupon = 20\%[/tex]

Required

Determine the price before tax

First, we need to determine her savings

[tex]Savings = Coupon * Price[/tex]

[tex]Savings = 20\% * \$120[/tex]

[tex]Savings = \$24[/tex]

The price before tax is calculated as follows:

[tex]Price = \$120 - \$24[/tex]

[tex]Price = \$96[/tex]

The gradient of the line segment between the points (0,3) and (1,8) is : 5

Gradient is the ratio of the increase or decrease in the y-coordinates to the increase ore decrease in the x-coordinates of points that form a line segment.

Analysis:

x1 = 0, x2 = 1, y1 = 3, y2 = 8,

Gradient(M) = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                        = [tex]\frac{8 - 3}{1 - 0}[/tex] = 5/1 = 5

In conclusion, the gradient of the given points (0,3) and (1,8) is : 5

Learn more about gradients : brainly.com/question/21727173

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Answer:

Step-by-step explanation:

difference in x = 1

difference in y= 5

5 divided by 1 = 5

gradient= 5

Answer: 11

Step-by-step explanation:

2 times 11 is 22. 22-8=14

Answer:

14= -2s - 8

22= -2s

-11=s

Step-by-step explanation:

Add 8 to both sides, on one sided the number will be undo but on the other it won't

Then divide both sides by -, wich leaves the unknown variable alone

Finally you have your answer!

Answer:

5

Step-by-step explanation:

Add the two coordinates and divide by 2.

-2 + 12 = 10

10/2 = 5

Answer: 5

Answer:

micro organism

Step-by-step explanation:

Answer: AB is 40

Step-by-step explanation: CD=CE+ED ED is 5 and it is also the midpoint meaning it is 1/2 of the value of the line. Therefore CD is 10, BC=BD+CD CD as we know is 10 and D is the mid point meaning it is also 1/2 of the value of BC. 10+10=20, AB=AC+BC, BC is 20 so AC must also be 20;therefore AB is 40

Answer:

The answer to your question is $8973.56

Step-by-step explanation:

Answer:

The answer is C., $24 per month.

Answer:

A $12

Step-by-step explanation:

she has saved $36 before she gets a part time job, after 2 months, her savings have increased from 36 to 60. 2 months = 60 - 36, 2 months = 24. now we divide 24 by 2, and the answer is 12. option A is correct.

Answer:2

Step-by-step explanation:because

x=1x6/3

X=2

Its not gibberish so gimme brainliest

Answer:

It would be 2.

Step-by-step explanation:

3/6 is half of a whole. Which means, there is a half missing. So multiply 3/6 by 2, to make it a whole.

Answer:

4.27 meters

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

You have to turn 44% into a decimal which will be 0.44

Then multiply 0.44 by 10

0.44*10

4.4

The value of percent for 33 1/3% of 75 is 25.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The expression is,

⇒ 33 1/3% of 75

Solve for value as;

⇒ 100/3% × 75

⇒ 100/(3×100)  × 75

⇒ 75/3

⇒ 25

Learn more about the percent visit:

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Answer:

upove is correct

Step-by-step explanation:

hehe

[tex]\huge{\fbox{\sf{n=5 }}}[/tex]

Step 1:

[tex]⇒ {2}^{n - 5} \times {5}^{n - 4} = 5[/tex]

Step 2:

[tex] ⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0} [/tex]

On comparing values we get:

Taking:

[tex] {2}^{n - 5} = {2}^{0} [/tex]

n-5=0

n=5✓

or

Taking:

[tex] {5}^{n - 4} = {5}^{1} [/tex]

n-4=1

n=5✓

Answer:

7/4 and 3

Step-by-step explanation:

correct on edge 2020

Answer: 7/4 & 3

Step-by-step explanation:

Answer:

-4/3

Step-by-step explanation:

If the slope of line a is 3/4, then the slope of line b will be -4/3.

Answer:

7x=28

Step-by-step explanation:

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

Answer:

Step-by-step explanation:

The answer is 25%

25% of 2.40= 0.6 3.00-0.6= 2.4 just ad a 0 so 2.40

Answer is 25%

Answer:

h=3

Step-by-step explanation:

Answer:

option B is the answer

Step-by-step explanation:

If you need explanation plz ask in the comments

Answer:

-5 5/6

Step-by-step explanation:

I just used my calculator.

Answer:

The numbers 4, 9, 25, and 49 are composite numbers.

The number 1 is a prime number.

Step-by-step explanation:

A prime number can be defined as a number that is divisible by 1 and itself only. Examples are: 1, 3, 5, 7, 11 e.t.c

A composite number can be defined as a positive number that can be formed by multiplying two smaller positive numbers together. These two positive integers may or may not be prime number.

It is a positive integer that has at least one divisor other than 1 and itself.

Examples are: 4, 6, 8, 9, 12, 25, 49, e.t.c

Therefore, the true statements in the questions above =

The numbers 4, 9, 25, and 49 are composite numbers.

The number 1 is a prime number.

[tex]f(x) = 4x^3 + Ax^2 + 2x - 5[/tex]

[tex]f(2) = 5[/tex]

[tex]5 = 4 \cdot 2^3 + A \cdot 2^2 + 2 \cdot 2 - 5\\5 = 4 \cdot 8 + 4A + 4 - 5\\5 = 32 + 4A + 4 - 5\\5 - 32 - 4 + 5 = 4A\\-26 = 4A\\A = \frac{-26}{4} = -\frac{13}{2} = -6.5[/tex]

Answer:with?

Step-by-step explanation: