Flying Home A bird flies from the bottom of a canyon that is 59; feet below sea level to a nest that is 752 feet above sea level. What is the difference
10
elevation between the bottom of the canyon and the bird's nest?

We can conclude that no value of 'a' will make the equation an identity.

So, to get 0 = 0 to make the equation an identity, we have to get such a value of a that makes the LHS 8x - 16 which will be similar to RHS 8x - 16.

If we take a = 1 then the LHS will be less than the RHS as:

If we take a = 2 then:

If we take a = 3 then the LHS will be greater than the RHS as:

So, we can conclude that no value of 'a' will make the equation an identity.

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Answer:

-2

Step-by-step explanation:

3−11−(−6)=

3-11= -8

-8-(-6)

the two minus become plus so

-8+6= -2

Answer:

  (b)  22 in

Step-by-step explanation:

You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.

The perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:

  P = 4 in + 4 in + 7 in + 7 in

  P = 22 in

The perimeter of the rectangle is 22 inches.

__

Additional comment

We can save a math operation by recognizing the sum can be arranged to ...

  P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)

This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.

This is why the usual formula for the perimeter of a rectangle is ...

  P = 2(L +W)

The way a flow proof shows logical steps in the proof of a conditional statement is; A flow proof organizes statements in logical order, starting with the given statements. Each statement has its reason written below it and arrows are used to indicate the order of the statements.

A flow proof uses a diagram to show each statement leading to the conclusion. Arrows are drawn to represent the sequence of the proof. The layout of the diagram is not important, but the arrows should clearly show how one statement leads to the next. The explanation for each statement is written below the statement.

A flow proof organizes statements in logical order, starting with the given statements. Each statement has its reason written below it and arrows are used to indicate the order of the statements.

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Answer: False

Step-by-step explanation: If you multiply a fraction between 0 and 1 by another fraction between 0 and 1, the result would be smaller than 1.

For example,  [tex]\frac{3}{5} * \frac{1}{2} = \frac{3}{10}[/tex]

Answer:

An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food

0

Step-by-step explanation:

Answer:

an animal shelter needs to buy 6 pound of cat food for every cat they have . The following table of cat to pounds of cat food

Step-by-step explanation:

Answer: [tex]x-0.1x=27[/tex]

Step-by-step explanation:

Let x be the number that gets decreased by 10% of itself.

x decreased by 10% of x is 27.

x is 100%, so 100%-10%=90%

So, 90% of x equals 27.

90% = 0.9

0.9x = 27

x = 30

Answer:624

Step-by-step explanation:

Answer:

624

Step-by-step explanation:

The simplified fraction is -2 1/4

From the question, we are to evaluate the given fractions

The given fraction is

[tex]-1\frac{4}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]

Evaluating the fraction

[tex]-1\frac{4}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]

First, convert the mixed fraction to an improper fraction

[tex]-\frac{9}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]

Now, clear the parentheses
[tex]-\frac{9}{5} -\frac{1}{4}- \frac{1}{5}[/tex]

Find the LCM of the denominators

The LCM is 20

Thus,

[tex]\frac{-36 - 5 - 4}{20}[/tex]

= [tex]\frac{-45}{20}[/tex]

= [tex]-2\frac{5}{20}[/tex]

= [tex]-2\frac{1}{4}[/tex]

Hence, the simplified fraction is - 2 1/4

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Answer:

C. No, because the graph is technically correct.

Step-by-step explanation:

19.8 is greater than 5.5 by a lot, so 19.8 will look much bigger than 5.5.

Building a regression line from the scatter plot, it is found that the predicted prize money in year 10 of the contest is of: $11,790.

To find the equation, we need to insert the entire set of points (x,y) given by the scatter plot in the calculator.

From the scatter plot, the points are approximated as follows:

(1, 9.5), (2,9), (3,7), (4,10), (5,11), (6, 10), (7, 10.5).

With the help of a calculator, the line of best fit to predict the amount of prize money in year x of the contest is given by:

P(x) = 0.32143x + 8.28571

To find the predicted amount in year 10, we have to find the numeric value when x = 10, hence:

P(10) = 0.32143(10) + 8.28571 = $11,500.

The closest option is $11,790, which is different from $11,500 because the coordinates of the points are approximated from the scatter plot and not exact.

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Answer:

  (c)  55°, 90°, and 35°

Step-by-step explanation:

Given lists of angle measures, you want to know which could be the interior angles of a triangle.

The angle sum theorem tells you the sum of interior angles of a triangle is 180°. To find the angles that could be those of a triangle, check to see if their sum is 180°.

a) 60 +45 +70 = 175 ≠ 180

b) 30 +85 +25 = 140 ≠ 180

c) 55 +90 +35 = 180 . . . . . . . could form a triangle

d) 110 +15 +45 = 170 ≠ 180

The angle measures 55°, 90°, and 35° could be the interior angles of a triangle.

Answer: 2⁴

Step-by-step explanation:

The factors of 16 are 1, 2, 4, 8, and 16. The prime factors of 16 as a product can be written as 2 × 2 × 2 x 2 or 2^4, where 2 is the prime number.

Answer:

AB=5

Step-by-step explanation:

the steps are on top

The circumference is 150.72 millimeters and the area is 1808.64 square millimeters

The radius of the coin is given as

r = 12 millimeters

The diameter of the coin is calculated as

Diameter = 2 * r

So, we have

Diameter = 2 * 12 millimeters

Evaluate

Diameter = 24 millimeters

The circumference of the coin is calculated as

C = 2πr

So, we have

C = 2 * 3.14 * 24

Evaluate

C = 150.72 millimeters

The area of the coin is calculated as

A = πr²

So, we have

A = 3.14 * 24²

Evaluate

A = 1808.64 square millimeters

Hence, the circumference is 150.72 millimeters and the area is 1808.64 square millimeters

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Answer:

1. True

2. True

3. True

4. False

5. False

6. False

7. True

8. False

9. True

10. False

Step-by-step explanation:

∈ means "is an element of"

⊂ means "only contains some, but not all, the elements of"

⊆ means "only contains some, possibly all, the elements of"

If one of those symbols is strickenthrough, it simply means the opposite, e.g. "it's not true that it's an element of" or "it's not true that it only contains some, (...) the elements of"

∅ is an empty set

{ something } is a set containing everything inside the curly brackets. Thus, { } is an empty set.

Let's rewrite the statements:

1. 5 is an element of {1, 3, 5, 7, 9}

TRUE

2. 4 is not an element of {1, 3, 9}

TRUE

3. {5, 6, 7} only contains some, possibly all, the elements of {5, 6, 7}

TRUE

4. {1, 2, 3} only contains some, but not all, the elements of {1, 2, 3}

FALSE (it contains all)

5. it's not true that {9} only contains some, possibly all, the elements of {9, 10}

FALSE (it does only contain elements of {9, 10} )

6. it's not true that 8 is an element of {2,4,6,8,10}

FALSE (because it is an element of that set)

7. empty set only contains some, possibly all, the elements of empty set

TRUE (it contains only elements of empty set - all of them, namely none)

8. 0 is an element of empty set

FALSE (empty set is empty, so it cannot contain 0)

9. {13, 11} only contains some, but not all, the elements of {11, 12, 13}

TRUE (order is irrelevant)

10. {7, 8}  only contains some, possibly all, the elements of {8}

FALSE (7 is not an element of {8} )

Answer:

1/5, 1:5, 1 to 5

Step-by-step explanation:

The ratio is 3/15, but simplest form is 1/5.

Answer:

x^2+12x=-11

Step-by-step explanation:

Answer:

(-1, 12) and (-11, 132)

Step-by-step explanation:

The number of boards it would take to cover the floor is 48

From the question, we are to determine how many boards it would take to cover the floor

From the given information,

The width of the floor is 248 in.

and

The width of the board is 5 1/6 in.

Thus,

The number of boards it would take to cover the floor is

248 ÷ 5 1/6

= 248 ÷ 31/6

= 248 × 6/31

= 1488/31

= 48

Hence, the number of boards it would take to cover the floor is 48

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Answer:

3498

Step-by-step explanation:

Answer:

There are 16 cups in a gallon.

Step-by-step explanation:

Not sure what you're asking but there are 16 cups in a gallon.

Answer:

37

Step-by-step explanation:

WX = a

XY = a-9

WY = WX + XY = 65

So we substitute values:

WY = a + a -9 OR 2a - 9

65 = 2a -9

Then we collect like terms:

2a = 65 + 9

2a = 74 (divide both sides by 2 to get a)

a = 37

Answer:

r=30

Step-by-step explanation:

first expand:

4r+60+4r=300

8r+60=300

8r=300-60

8r=240

r=30

hope this works:)

Answer:

exact form= 1/49

and the decimal form= 0.02040816

Step-by-step explanation:

the awnser: is 960 inches

Answer:

7

Step-by-step explanation:

=[(5)×2]+[(30)-5]÷5

=(10)+(25)÷5

=35÷5

=7

Answer:

True

Step-by-step explanation:

(2) (3+4) = (2) (3) + (2) (4)

(2) (3+4)=2(7)=14

(2) (3) + (2) (4)=6+8=14

14=14 √