Write the number for twenty-one million six hundred thousand

Answers:

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Explanation:

A conditional statement is of the form "if..., then..."

For example, "If it rains, then the grass gets wet" is a conditional statement.

We can have a basic template of "If P, then Q" to represent any conditional. The P and Q are placeholders for logical statements.

The converse of that conditional is "If Q, then P". We swap P and Q.

------------

So let's say we had this original conditional:

The converse would be:

Similar ideas apply for the other converses as well.

Answer:

If alternate interior angles are congruent, then lines are parallel.

If alternate exterior angles are congruent, then lines are parallel.

If corresponding angles are congruent, then lines are parallel.

If consecutive interior angles are supplementary, then lines are parallel.

If consecutive interior angles are supplementary, then lines are parallel.

Step-by-step explanation:

Converse

The converse of a statement is formed by switching the hypothesis and the conclusion.

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Given statement:  If lines are parallel, then alternate interior angles are congruent.

Converse statement:  If alternate interior angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then alternate exterior angles are congruent.

Converse statement:  If alternate exterior angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then corresponding angles are congruent.

Converse statement:  If corresponding angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then consecutive interior angles are supplementary.

Converse statement:  If consecutive interior angles are supplementary, then lines are parallel.

Given statement:  If lines are parallel, then consecutive exterior angles are supplementary.

Converse statement:  If consecutive exterior angles are supplementary, then lines are parallel.

Answer: y=7x-5

Step-by-step explanation: Use the points to find the equation of y-(y1) = m (x- and x1)

The slope is 7.  and x1 and y1 is (2,9)

Here is y-9=7 is (x-2). Then y-9=7 is (x-2)]

Multiply 7x-2, then you get y-9=7x-14 then now we got y=7x-5! :)

The converse, inverse, contrapositive and biconditional for the given sentences has been written down for a better understanding.

Two assertions that are logically opposed to one another are referred to be inverse statements. An inverted statement would be "It is raining" and "It is not raining."Biconditional statements can be both true and untrue depending on the veracity or falsity of each of its component elements. For instance, "If it is raining, then the ground is wet" is a biconditional statement because if it is raining, the ground will be wet, and if it is not raining, the ground won't be wet. In other words, the truth or falsehood of the first part (it is raining) determines the truth or falsehood of the second part.

How to solve?

Converse: If studying hurts your grade, then studying also helps your grade.

Inverse: If studying does not help your grade, then studying does not hurt your grade.

Contrapositive: If studying does not hurt your grade, then studying does not help your grade.

Bi-conditional: Studying helps your grade if and only if studying also hurts your grade.

The conditional is false.

The converse is false.

The bi-conditional is false.

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The value of angle RPQ in the circle is 115 degrees.

The intersecting chords theorem, also known as the chord theorem, is an elementary geometry statement that describes a relationship between the four line segments formed by two intersecting chords within a circle.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

The angle is 115°.

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Answer:

4/11 is not a terminate

Because it is non- terminate,if we divide those non- terminating numbers than the divided answer is repeated.

The correct option is C. The statement is true because there are 50 possible IQ scores.

For the given question-

The frequency for the total students are given on the graph.

The highest frequency is for 30 people.

The difference in the IQ score are ; 130 - 70 = 50

Thus, the statement that graph is based on a sample of approximately 50 people the is true because there are 50 possible IQ scores.

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Answer:

x(7y)x(7y)

Step-by-step explanation:

The given expression: 7(xy)7(xy)

i.e. a product of 7 and xy.

The operation used here: Multiplication.

Commutative property of multiplication :-

a\times b=b\times aa×b=b×a for any numbers a and b.

Associative property of multiplication :-

a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.

Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]

=(x7)y=(x7)y [Commutative property of multiplication]

=x(7y)=x(7y) [Associative property of multiplication]

Answer:

The probability of rolling a number less than 5 is 3/6 or 0.5.

Step-by-step explanation:

Step 1: List all the possible outcomes of rolling the die.

The set of equally likely outcomes is {1,2,3,4,5,6)

Step 2: Count the number of outcomes that fulfill the criteria.

Three outcomes fulfill the criteria (1,2,3)

Step 3: Calculate the probability by dividing the number of outcomes that fulfill the criteria by the total number of outcomes.

The probability of rolling a number less than 5 is 3/6 or 0.5

The number of variable terms in the given expression are 6g and 5h.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

6g − 11 + 5h

The number of variable terms in the given expression are -

6g and 5h.

Therefore, the number of variable terms in the given expression are 6g and 5h.

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Set up your equation

4q + q = 315                      Add                                  (q = amount of quarters)

5q = 315                            Divide

q = 63                              

Therefore he has 63 quarters.

To find the amount of nickels, multiply 4 and 63

4 x 63 = 252

Therefore he has 63 quarters and 252 nickels.

I hope this helps! :)

Answer: 0=9

Step-by-step explanation:

Probability of landing on red 0.9%, when Yolanda spun the dial 1000 times.

What is probability?

The probability of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anywhere between 0 and 1, as the favorable number of outcomes can never exceed the total number of outcomes.

A spinner with 10 equally sized slices has 4 yellow slices, 4 red slices, and 2 blue slices.

Yolanda spun the dial 1000 times.

P( getting red)  = 19/1000

From the chart, there are 19  red out of 1000

Experimental probability of landing on red

= Number of red outcomes / Total number of spins

= 9/1000

Experimental probability of landing on red 0.009.

Hence, Probability of landing on red 0.9%

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Answer:

1. The problem involves finding the length of a slide about a ladder. The slide and the ladder form a right triangle, with the ground and the slide as the hypotenuse.

2. The top of the ladder is 10 feet above the ground, and the bottom of the ladder is 12 feet from the bottom of the slide.

3. In order to solve this problem, a diagram can be used to represent the scenario.

4. Label the bottom of the slide as point A, the bottom of the ladder as point B, and the top of the ladder as point C.

5. Draw a straight line from point A to point B and label it 12 feet.

6. Draw a straight line from point B to point C and label it 10 feet.

7. Draw a straight line from point A to point C, which is the hypotenuse of the triangle.

8. Use the Pythagorean Theorem to find the length of the hypotenuse.

9. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the sides of the triangle and c is the hypotenuse.

10. In this problem, a is 12 feet, and b is 10 feet. Plugging these values into the equation, we get 122 + 102 = c2. Solving for c, we get that the length of the slide is 14.04 feet to the nearest tenth of a foot.

Step-by-step explanation:

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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The completion of the credit card table is as follows:

Month Carryover    Finance      New         Ending

            Balance     Charge   Purchase     Balance    Payment

1            $600         $10.60        $70         $680.60      $47.64

2           $632.96     $11.12         $70          $714.08      $49.99

Credit card attracts finance charges.

The finance charges are the interest for using some credit to finance purchases.

Most finance charges are based on the annual percentage rate (APR), which may also be used to obtain the monthly percentage rate (MPR) by dividing the APR by 12.

The finance charge is applied to the unpaid balance at the end of the period, which may be daily, weekly, or monthly.

Carryover balance = $600

Annual percentage rate (APR) = 18.99%

Monthly percentage rate (MPR) = 1.5825% (18.99% ÷ 12)

Recurring monthly purchase = $70

Monthly payment = 7% of the ending balance

The finance charge for month 1 = $10.60 ($600 + $70 x 1.5825%)

Payment for month 1 = $47.64 ($680.60 x 7%)

Carryover balance for month 1 = $632.96 ($680.60 - $47.64)

The finance charge for month 2 = $11.12 ($632.96 + $70 x 1.5825%)

Payment for month 2 = $47.64 ($714.08 x 7%)

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Answer:

Step-by-step explanation:

[tex]\frac{3}{n}[/tex] - 10.

The quotient of 3 and a number translates to [tex]\frac{3}{n}[/tex], then, all you have to do is subtract 10 from that value, giving the expression above.

Slope intercept form has the general form of y = mx + b, where m is the slope and b is the y-intercept.

You are given the y-intercept with the point (0, -10). Thus, the y-intercept is -10.

You are also given the slope of 1.

Next, just plug your numbers in!

y = 1x - 10

y = x - 10

Hope this helped!

Answer: 17 million

Step-by-step explanation: thank me later hehe

Answer: Teresa needs 27 logs to maintain the fire for 18 hours.

Step-by-step explanation:

We're dealing with a proportional relationship, so each ratio of logs to hours must be equivalent.

Hint #22 / 4

Here's one way to write the proportion:

18 hours = y logs

​

= 4 hours 6 logs

​

Hint #33 / 4

Now, solve the proportion for yyy:

18

y

yyy

=

4/6

​

=

2/3

​

=

2/3⋅18

=

2/3⋅18

​

=

1/2

3⋅18/9

=

1/3⋅9

​

= 1/27

​

=27

​

Answer:

$85

Step-by-step explanation:

x=0     p= 85 => (0,85) {y-intercept}

p=0     x= -3400 => (-3400,0) {x-intercept}

y-intercept means Isaiah sells $0, then the company will pay him $85.

The equation of the line can be written as y = -x - (7/12).

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

Given that the line passes through  (5/12, −1) and (−3/4, 1/6). Therefore, the slope of the line can be written as,

Slope of the line = [(1/6) - (-1)] / [(-3/4) - (5/12)]

                            =  [(1/6) + 1] / [(-3/4) - (5/12)]

                            = (7/6) / [(-9-5)/12]

                            = (7/6) / (-14/12)

                            = -1

Now, the equation can be rewritten with slope and a point as,

y = mx + c

(1/6) = -1(-3/4) + C

(1/6) = (3/4) + C

C = (1/6) - (3/4)

C = (2/12) - (9/12)

C = (-7/12)

Therefore, the equation of the line can be written as,

y = mx + c

y = (-1)x + (-7/12)

y = -x - (7/12)

Hence, the equation of the line can be written as y = -x - (7/12).

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Answer: $279.40

Step-by-step explanation:

To find how much he is paying in property taxes, you have to multiply the maintenance fee by the percentage you are given, so

1,397×20%=279.40

Answer:

$3,352.80

Step-by-step explanation:

This is the correct answer

Could you elaborate a bit more on what the question is asking? Cuz it seems there is more to this then is shown. If you could, I'll see what else I can do to help. Tysm!

Answer:

Step-by-step explanation:

x=0

y=3(1/4)^x-1

y=3(1/4)^0-1

y=3(1)-1

y=2

y intercept is at (0,2)

You planted the tomato seeds on the 10th of May

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Number of days to ripe = 80 days

Date the tomato seed is eaten = July 29

The above parameters can be represented using the following subtraction equation:

The date you planted the seeds = Date the tomato seed is eaten - Number of days to ripe

Substitute the known values in the above equation, so, we have the following representation

The date you planted the seeds = July 29 - 80 days

Evaluate the difference

So, we have the following representation

The date you planted the seeds = May 10

Hence, the date you planted the seeds is May 10

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Complete question

It takes a tomato seed an average of 80 days to ripe. If you eat ripe tomatoes on July 29. When did you plant the tomato seeds?

Answer:

1728

Step-by-step explanation:

Just multiply 108 by 16.

Answer:

384 ounces

Step-by-step explanation:

If it takes 4 1/2 pounds of grapes to make 1 pound of Rasins, then we need to figure out how many pounds of Rasins we can make with 108 pounds of grapes.

(Or you can do 108 divided by 4 1/2)

4 1/2 x 10 = 45

4 1/2 x 4 = 18

45 + 45 + 18 = 108

10 + 10 + 4 = 24

(Looking at the work you did above, we can take 54, and multiply that by 2 to get 108, therefore, we can just multiply 12 by two to get 24)

Now we need to convert the pounds to ounces.

If one pound is equal to 16 ounces, then we can use the equation,

24 x 16 = 384

108 pounds of grapes yields 384 ounces.

If someone purchased 7 adult tickets and 3 kids tickets, they would get 10 total tickets.

If someone purchased a adult tickets and k kids tickets, they would get a+k total tickets.

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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Answer:

0.6

Step-by-step explanation:

3/5 is equal to 0.6

Answer:

3/5 could be equal to many things. I will just give a list of all the possibilities:

3/5 = 3/5

3/5 = [tex]\frac{3}{5}[/tex]

3/5 = 3:5

3/5 = 0.6

3/5 = 60%

Step-by-step explanation:

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