1. -7/9 • 3/5
A. 18/35
B. 7/15
C. -18/35
D. -7/15

2. 1/3 divided by 5/6
A. 2/5
B. 5/2
C. 2/15
D. 5/18

3. 2 and 1/8 divided by 34
A. 51/32
B. 1/16
C. 2 and 1/3
D. 2 and 5/6

4. -4/5 divided by 8/9
A. -9/10
B. 1/20
C. 9/10
D. -1/20

5. 3/5 Divided by 9/10 A. 2/3
B. 2/5
C. 3/10
D.27/50

6. 4/7 divided by 9/14
A. 3/7
B. 2/3
C. 6/7
D. 8/9

In order to prove that this quadrilateral is a parallelogram, we need to get the opposite sides to be parallel.

The answer would be D because it shows 2 triangles to be equal. If they are equal then they must have corresponding sides.

Remark

60 minutes = 1 hour

15 minutes = 15/60 = 1/4 of an hour.

Formula

d = r * t

Givens

r = 450 mph

t = 1/4 hour

Solution

d = 450 * 1/4

d = 112.5  <<<< Answer

Answer:0.3, 0.386,0.683,0.836

Step-by-step explanation:

You look left to right in the numbers (0.12,0.12)

0.865 | 0.683 | 0.386 | 0.3

5. The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0. The difference between -5 and 0 is 5, which means that the integer that represents the change in the golfers score is 5.

Score of golfer after playing on Friday= +2

Score of golfer on Saturday= -5

After Sunday round , Score of golfer =Either an Even Integer or 0.

The Integer which represents,the change  the golfers score from the end of his round on saturday to end of his round on sunday

                = Score of golfer on Sunday -  Score of golfer on Saturday

                  = 0 - (-5)    

                 = +5

or

An Even Integer - (-5)

=An Even Integer + (5)

=An Integer greater than 5

Answer:

The length of the bee in the second image is 100 times the original.

Step-by-step explanation:

A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee.

Let the size of the actual bee be = x

So, the first image is = 10x

Then he showed another image of the bee that is 10 times as large as the first image.

Now as the length of the carpenter bee is not given, you can multiply the given length by 100 to get the answer.

The second image will be = [tex]10\times10x=100x[/tex]

So, the length of the bee in the second image is 100 times the original.

196−−−√

25−−√

81−−√

Should be your perfect squares!

Square roots of given perfect squares are 14, 5, 9. Two of given numbers are not perfect squares (75 and 200) and one number is not defined in this context (2).

The square root of a number is a value that when multiplied by itself gives the original number. In other words, √a*b = a if and only if b=a*a. A perfect square is a number that is the square of a whole number. So, the task here is to find the numbers that are perfect squares and then find their square roots.

196 is a perfect square, as 14*14=196, so the square root is 14.

75 is not a perfect square so we do not need to find its square root.

Given '2' is not properly defined in this context, so we can't identify the square root.

25 is a perfect square, as 5*5=25, so the square root is 5.

81 is a perfect square, as 9*9=81, so the square root is 9.

200 is not a perfect square so we do not need to find its square root.

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x=0    y=6

x=1     y=8

x=2    y=10

x=3    y=12

x=4    y=14

Answer :-

The answer is '-8'.

Step-by-step explanation :-

Given equation :

... [tex]10p + 5 = \frac{18p-6}{2}[/tex]

Multiplying '2' on both sides :-

... [tex]2(10p + 5 ) = 2 (\frac{18p-6}{2})[/tex]

... [tex]20p + 10 = 18p - 6[/tex]

Subtracting 18p on both sides -

... [tex]2p + 10 = -6[/tex]

Subtracting 10 on both sides :-

... [tex]2p = -16[/tex]

Dividing by 2 on both sides :-

... [tex]p=\frac{-16}{2}[/tex]

... [tex]p = -8[/tex]

Hope my answer helps!!

Answer:

>  - greater than

(ive done the test)

hope it helps :)

Isolate the B. Note the equal sign. What you do to one side, you do to the other. Subtract C and A from both sides

B + A (-A) + C (-C) = D (-A) (-C)

B = D - A - C

B = D - A - C is your answer

hope this helps

Hey there!!

Given equation :

A + B + C = D

and solve for B

In order to solve for the B, we will need to take all the other variables to the other side.

... A + B + C = D

Subtracting A on both sides.

... B + C = D - A

Subtracting C on both sides.

... B = D - A - C

Hence, we got the value for B.

Hope my answer helps!!

To find the result, you need to multiply the two binomials (the picture shows how to multiply them).

( -9 + 6i )( 3 - 2i )

= -27 + 18i + 18i - [tex]12i^{2}[/tex]

Combine like terms.

= -27 + 36i - [tex]12i^{2}[/tex]

Rearrange your solution into standard form.

= [tex]-12i^{2}[/tex] + 36i - 27

Edit: Actually, don't listen to me. I made a mistake. So sorry! (The first answer is right though).

he has 77 cents left

1.95*3=5.85

3.60*2=7.20

2.48*3=7.44

1.89+5.85+7.20+7.44+1.85=24.23

25-24.23=0.77

Dion has $23.15 left after taking into account all of his purchases as well as the tax.

A simple subtraction issue from the subject of mathematics underlies this query. Dion started out with $25.00. We deduct this $1.85 from his initial sum to determine how much money Dion still has if he bought certain products and paid a tax of $1.85 on his purchases. Dion now has $23.15 left after subtracting $1.85 from the $25.00. This is an illustration of how you must deduct purchases and expenses from a total to determine the balance that is left.

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The reason being is that we need to find it out of 100. So, we divide 400 by 4 and because we did that to the denominator we have to do it to the numerator so 16 divided by 4 is well 4. So we found out that is 4/100 we just divide that by 650 and we get 26.

TL;DR it’s $26

Tax is the price charged on an object. This shows that the tax on a $650 TV is $26

If the sales tax on a $400 stereo is $16, this can be written as:

$400 = $16

To get the sales tax on $650 TV, we can write;

$650 = x

x is the required tax;

Divide both expressions to have:

[tex]\frac{400}{650} =\frac{16}{x} \\400x = 16 \times 650\\400x = 10400\\x = \frac{10400}{400}\\x= \$26[/tex]

This shows that the tax on a $650 TV is $26

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Answer:

After the discount, the customer will pay only 91.4% of the initial price.

Step-by-step explanation:

We have that the price of the current retailer, in dollars, is:

3.50

After the discount, the new price, in dollars, is:

3.20

We want to know what percentage of the original price is the final price.

To find out, we must divide the final price between the initial price and then multiply the result by 100%

So:

[tex]\frac{ 3.20}{3.50}[/tex]*100% = 0.914. * 100% = 91.4%

After the discount, the customer will pay only 91.4% of the initial price.

The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price

Ricardo would swim a farther distance in 1 hour. By taking the number of miles he swam and in the fraction of the hour, you can find the answer.

Divide 5 1/4 by 3 because it took 3/5 of an hour to swim that far. That would lead to 1 3/4 for 1/5 of an hour. Now that we know this, we can multiply 1 3/4 to 5 to get how much he would swim in 1 hour which is 8  3/4

Divide 4 1/2 by 5 because it took 5/9 of an hour to swim that far. That would lead to 9/10 for 1/9 of an hour. Now that we know this, we can multiply 9/10 to 9 to get how much he would swim in 1 hour which is 8 1/10

Since 8 1/10 is less than 8 3/4, Ricardo swam farther

The conjecture that for every integer n, the value of n^2 is positive, is true

The conjecture is given as:

For every integer n, the value of n^2 is positive.

Let n be a positive integer.

Such that:

n = k

This means that:

n^2= k^2 --- positive

Let n be a negative integer.

Such that:

n = -k

This means that:

n^2= (-k)^2

Evaluate

n^2= k^2 --- positive

Hence, the conjecture is true

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Final answer:

The conjecture that for every integer n, the value of [tex]n^2[/tex] is positive is disproven by the counterexample of squaring zero, as 0 squared equals 0, which is not positive.

Explanation:

The conjecture for consideration is: For every integer n, the value of [tex]n^2[/tex] is positive.

To evaluate this conjecture, we need to look at the definition of integer squares. When we square any positive or negative integer, we multiply the number by itself, resulting in a positive product since a negative times a negative equals a positive. However, the conjecture overlooks the integer zero (0). When we square zero, 02, we get zero, which is neither positive nor negative. Thus, while the conjecture holds for all integers except zero, the case where n is zero provides a counterexample and disproves the original claim

To further illustrate this, let's consider a few examples:

Given that 0 is not a positive number, we can conclude that the conjecture does not hold true for every integer since it fails for n=0.

You can use the definition of sin to solve it.

sin(45 deg) = x/13

sin(45 deg) is known to be [tex]\frac{\sqrt{2}}{2}[/tex] so

[tex]x = \frac{13\sqrt{2}}{2}[/tex]

Let me know if you have questions.

Leave it be, you would leave it empty because there is no number to put.

You would have to leave it be u have it correct like that

Answer:

340 liters

Step-by-step explanation:

100% - Adam

105% - Tapiwa

x - Adam

357 l - Tapiwa

We have proportion:

[tex]\dfrac{x}{357}=\dfrac{100}{105}\qquad|\text{cross multiply}\\\\105x=(357)(100)\\\\105x=35700\qquad|\text{divide both sides by 105}\\\\x=340[/tex]

Answer:

340 litres

Step-by-step explanation:

1) Reduce the factors=2x+2/2>1/2x+2

2)Reduce the fraction=x+1>1/2x+2

3)Multiply both sides by two=2x+2>x+4

4)Move the terms=2x-x+2>4

5)Subtract all the like terms+x>4-2

6)Your answer is x>2

I can't show you how to graph it but I hope you understand and I hope this helped! :)

If you multiply .768 by 1000, you move the decimal point to the right 3 places, giving you 768, so your answer is correct.

Hope this short response helps! :)

Don't Worry you are correct  It was 1,000 because 768.0 divided by 1000 is .768,  Hope this Helps :D

(3, - 2)

given y = - 2, then

- 2x + 4 = - 2 ( solve for x )

subtract 4 from both sides

- 2x = - 6 ( divide both sides by - 2 )

x = [tex]\frac{-6}{-2}[/tex] = 3

The coordinate that completes the solution to the equation is (3, -2)

Given the function y = -2x + 4

We are to find the value of x if y is -2

Substitute y = -2 into the function as shown:

-2 = -2x + 4

Subtract 4 from both sides

-2 - 4 = -2x + 4 - 4

-6 = -2x

x = 6/2

x = 3

Hence the coordinate that completes the solution to the equation is (3, -2)

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It has One solution

the answer should be that it has one solution

Answer:

6.1 miles per hour

Step-by-step explanation:

That is 9 feet per second.

There are 3600 seconds in an hour.

9 x 3600 is 32400

That is 32400 feet in an hour.

32400 feet is about 6.1 miles. (rounded)

The airplanes speed is 6.1 miles per hour.

The speed of the airplane will be 6.13 miles/hour. It is obtained by the unit conversion.

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. its si unit is m/sec.

Unit conversion;

1 ft/sec=0.681818 miles/hr

The speed in ft /sec;

v=d/t

v=18 feet/2 second

v=9 ft/sec

1 ft/sec=0.681818 miles/hr

9 ft/sec=9×0.681818 miles/hr

9 ft/sec=6.13  miles/hr

Hence, the speed of the airplane will be 6.13 miles/hour.

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The square root of nine is 3.

The thousandth place is the second to the right of the decimal point.

5 and above round UP; 4 and below rounds DOWN

The answer is : 97.46

62.5%

to change a fraction to a percent multiply by 100%

0.625 × 100% =62.5%

For this case we have the following:

Given points: [tex](x1, y1) = (4,8)[/tex] and [tex](x2, y2) = (9,8)\\[/tex]

The formula of the slope is given by:

[tex]m = \frac{(y2-y1)}{(x2-x1)}\\\\m = \frac{(8-8)}{(9-4)}\\\\m = \frac{0}{5}\\\\m = 0\\[/tex]

So, the slope is [tex]m = 0[/tex]and the line is a horizontal line

Answer:

Slope 0, horizontal line

Asheville had about 20 more inches of rain and it rained for about 40 more days than Wichita

subtract both rainfall and days for Wichita from the same quantities in Asheville

47.71 - 28.61 = 19.1 , about 20 inches

124 - 85 = 39, about 40

both quantities rounded to the nearest 10

Asheville had about 20 more inches of rain and it rained for about 40 more days than Wichita

First, you must subtract both rainfall and days for Wichita from the same quantities in Asheville!

47.71 - 28.61 = 19.1 , round about 20 inches

124 - 85 = 39, round about 40

Both quantities are rounded to the nearest 10

Hope I helped!

Good Luck!