Two parallel lines are cut by a transversal as shown belc
Suppose m 8 =107 Find m2 1and m2 3

1
2
4
3
5
6
8
7

This is equivalent to 3/2 as an improper fraction and 1 & 1/2 as a mixed number.

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Explanation:

x = total distance in miles

The train and monorail take 1/3 and 1/2 of the total distance respectively

Add up those fractions to get

1/3 + 1/2 = 2/6 + 3/6 = 5/6

Remember that you can only add fractions when the denominators are the same.

5/6 of the total distance consists of the train and monorail.

That means the walking portion must be 1 - 5/6 = 6/6 - 5/6 = 1/6 of the total distance.

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In short, we found that 1/6 of the total distance consists of walking.

(1/6)x = 1/4 mile

x/6 = 1/4

4x = 6*1

4x = 6

x = 6/4

x = 3/2

x = 1.5 miles is the total distance

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Check:

1/6 of x = 1/6 of 3/2 = (1/6)*(3/2) = 3/12 = 1/4 mile walking

1/3 of x = (1/3)*(3/2) = 3/6 = 1/2 mile on the train

1/2 of x = (1/2)*(3/2) = 3/4 of a mile on the monorail

1/4 + 1/2 + 3/4 = 1/4 + 2/4 + 3/4 = 6/4 = 3/2 = 1.5 miles total

This confirms our answer.

The plane left Bristol airport at 16:55.

This is a problem from time and distance. We can solve this problem by following a few steps.

We have to know the relation between time, speed, and distance. The relation is denoted as,

t = s/v; t is denoted as time interval, v is denoted as velocity or speed in this case and s is denoted as displacement or distance.

We have to find the time. Here velocity is 162 mph and the total distance between  Bristol airport to Leeds Bradford airport is 216 miles.

t = 216 miles/ 162 mph = 1.33 hour = 80 minutes.

Therefore the plane left Bristol airport is, ( 18 hours 15 minutes - 80 minutes) = 16 hour 55 minutes = 16:55

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The graph of the first linear equation:

y = x + 3

Can be seen in the image at the end.

Let's graph the first line, which is:

y = x + 3.

To graph it, we need to find two points on the line, to find these, we can evaluate the linear equation in two values of x.

Using x = 0 we get:

y = 0 + 3

y = 3

So we have the point (0, 3).

Using x = 1, we get:

y = 1 + 3

y = 4

So we have the point (1, 4)

Now we can graph these two points on the same coordinate axis and connect them with a line. Like in the example below.

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Answer:

Step-by-step explanation:

Total number of gifts = Sum of all gifts given to each guest

                                    = (Number of guests) * (Number of gifts per guest)

By making the number of gifts per guest the subject of the formula:

Number of gifts per guest = Total number of gifts/Number of guest

But:

Total number of gifts = 32

Number of guests = 8

Number of gifts per guest = Total number of gifts/Number of guest

                                              =32/8

We will have the following:

We will have that the value at the end will be $180 000.

The number of periods will be 15*12 = 180.

The interest per month is 0.05/12 = 0.0042

Now:

Here "A" is the value at the end, "P" will be the monthly payments, "i" the monthly interest rate and "n" the number of periods. So:

So, they will need to deposit approximately $671.2 each month.

Carmen invested her saving in fund B as $11,000.

For the given question;

Let 'x' be the amount invested by Carmen in fund B.

The, the amount invested in fund A is x - 5000.

The profit on fund A is 2% = 2%(x - 5000).

the profit on fund B is 5% = 5%(x).

Then, the total profit is $670.

The equation will be .

2%(x - 5000) +  5%(x) = 670

2(x - 5000)/100 +  5(x)/100 = 670

2x - 10,000 + 5x = 67,000.

Further simplifying.

7x = 67,000 + 10,000

7x = 77,0000

x = 11,000

Thus, amount invested in fund B is $11,000.

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This is an invalid statement. The law of syllogism is what was used to draw the conclusion in the statement here.

This is the law that is used in logic in the form of

The law of Syllogism can be interpreted as if a person is at least at the age of 25 then they rae able to rent a car. Now given that Anna has fulfilled this condition because she is at the age of 28, then she would be able to rent a car.

Therefore the second option ios correct

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Answer:660 in

Step-by-step explanation: Just add 6 sides, 9 ft= 108 in, + 2 in = 110, 110x6 = 660

Answer:

21

Step-by-step explanation:

The absolute value of an expression is its distance from 0.

For example, take the number -5:

<-------|------------------|------------->

        -5                   0

It is 5 units to the left of zero, so its absolute value is 5, NOT -5 because distance is always positive, no matter the direction.

To evaluate the given expression, first find each absolute value:

[tex]|-15| = 15, \, \, \, \, \, \, |-6| = 6[/tex]

Then, simplify:

[tex]|-15| + |-6| \\ =15 + 6 \\= 21[/tex]

So, the evaluated expression is 21.

Answer:

7(u+2)=42

7u+14=42

-14 -14

7u=28

u=4

The expected value and the standard error of the sample mean derived from a random sample of 2 pizzas is 0.57

The statistic known as the sample mean is created by arithmetically averaging the values of a variable in a sample.

The sample mean is an estimator of the expected value if the sample is taken from probability distributions with a common expected value.

given

Size of the pizzas 16- inch

normal distribution mean is 16 inch

standard deviation= 0.8

μ=16

σ=0.8

n=2

The standard error of the sample mean derived from a random sample of 2 pizzas is:

σₓ= σ / [tex]\sqrt{n}[/tex]

σₓ = 0.8 /[tex]\sqrt{2}[/tex]

σₓ=0.57

The standard error of the sample mean derived from a random sample of 2 pizzas is 0.57

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Answer: A

Step-by-step explanation:

A (71x28) x (0.01x0.1) = 0.71 x 2.8

B (71 x 28) x (0.1 x 0.1) = 7.1 x 2.8

C (0.71 x 2.8) x (0.01 × 0.1) = 0.0071 x 0.28

D (71 x 28) x (100 × 10) = 7100 x 280

The number (3×100)+(1×110)+(4×11,000) in standard form will be 4.4410 × 10⁴

It should be noted that standard form simply means a way of presenting numbers as a mathematical expression.

The number given is illustrated as:

= (3×100)+(1×110)+(4×11,000)

= 300 + 110 + 44000

= 44410

This will be expressed in standard form as:

= 4410

= 4.4410 × 10⁴

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the inequality is

x> 12

all real numbers greater than 12

interval (12, infinite)

Bette needs 8 jumbo cans of frosting to frost 280 cupcakes.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Bette used 3 jumbo cans of frosting to frost 105 cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an additional 175 cupcakes which are given in the question.

Let x jumbo cans of frosting would she need to frost 280 cupcakes

As per the given question, we can write the ratio as

3 jumbo cans of frosting : 105 cupcakes = x jumbo cans of frosting : 280 cupcakes

⇒ 3/105 = x/280

⇒ x = ( 280 × 3 )/ 105

⇒ x = 8

Therefore, she needs 8 jumbo cans of frosting to frost 280 cupcakes.

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The probability that at least one of the expectant mothers will have a cesarean delivery is 0.9394.

Probability is the likelihood that something will happen. Based on the information, about 33% of u.s. births are cesarean deliveries.

The number (n) is also given as 7.

p = 33% = 0.33

n! / (n – r)!

N is the number of things you are choosing from,

r is the number of items.

P(x:n,p) = ⁿCˣ x pˣ(1-p)ⁿ⁻ˣ

n is the number of trials (occurrences)

X is the number of successful trials

p is probability of success in a single trial

ⁿCₓ is the combination of n and x

Therefore, the probability will be:

= 1 - P(no mother will have a Caesarean section)

= 1 - P(X = 0)

= 1 - ⁷C₀ (0.33)^0(0.67)^7

= 1 - 0.0606

= 0.9394

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Answer: 20

Step-by-step explanation:

130+60= 190

60 ÷ 3 = 20

Answer:

its still missing

Step-by-step explanation:

U changed it for yourself, not other peoples

Answer: it will say “assigned” but it wouldn’t come up like that for your teacher. I’ve tried it before and it doesn’t work

Step-by-step explanation:

Answer:

37.0seconds

Step-by-step explanation:

when you round you take the second number (8) and find out if it is higher or lower than 5. When it is higher you round up.

But, since the next number is 9 you have to continue to round up the next number which is 6.

Hope this is helpful!

Answer: 1.one cup

2. 2 cups of each

Step-by-step explanation:

Answer:

Not a function

Step-by-step explanation:

It is not a function because it doesn't pass the vertical line test.

Answer:

The population after x years will be P = 29000 + 700x

Let the population after the years be represented by P

Population of the town in 2003 = 29000

Annual increase in growth = 700

Then, the population after x years will be:

P = 29000 + 700(x)

P = 29000 + 700x

Therefore, the population will be P = 29000 + 700x.

Answer: [tex]\frac{1}{-2}[/tex]

Step-by-step explanation:

Slope =

       [tex]\frac{Y2-Y1}{X2-X1}[/tex]

[tex]\frac{10-9}{4-6}[/tex]

[tex]\frac{1}{-2}[/tex]

Answer:

1- 1/9

Step-by-step explanation:

[tex]p(5 then 10) = \frac{4}{9} \times \frac{2}{8} [/tex]

[tex]p(5 then 10) = \frac{1}{9} [/tex]

Assuming without replacement

Answer:

x ≈ 3.9810717

Step-by-step explanation: