Write a positive or negative number for each situation.
a. you win $150 in a contest
b. a loss of 15 yards in a football game
c. 75 feet below sea level
d. 35 degrees above 0 degrees F
e, a debt of $24.75

Answer:

m∠6 = 54°

Step-by-step explanation:

∠6 is equal to (5x + 9) because they are vertical angles. But, to be able to find the measure of ∠6, you will need to find the value of (5x + 9). So, since ∠5 is equal to (13x + 9) because they are Corresponding Angles, (5x + 9) and (13x + 9) are supplementary because they are a linear pair.

So:

m∠6 = 5x + 9 and

5x + 9 + 13x + 9 = 180°

18x + 18 = 180

18x = 162

x = 9

To find m∠6, plug in values:

m∠6 = 5x + 9

         = 5(9) + 9

         = 45 + 9

         = 54°

Answer:

I believe that your answer is C and Moon.

Answer:

Yes

Step-by-step explanation:

Integers are whole numbers that are positive and negative. Since -5 is an integer then is also a rational number because all integers are rational numbers

Answer:

8 pizzas

Step-by-step explanation:

I cAn Do mAtH!!

Answer:

She can only make 8 pizzas.

Step-by-step explanation:

She only needs 1 cup of sauce and 1 cup of cheese. She has 8 cups of sauce, so she can only make 8 pizzas. What can she do with all the cheese in her refrigerator? Hmmmmm...

Answer:

21 calouris

Step-by-step explanation:

5250/250

Answer:

500

Step-by-step explanation:

250 X 7 = 1750

5250 - 1750 = 3500

3500 divided by 7 =500

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

Answer:

I belive it is the theme that is the most affected.

Step-by-step explanation:

Answer:

answer is the setting!!!!!!!!!!!!!!!!!!!!!

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let X represent the IQ scores of adults.

It is provided that [tex]X\sim N(100,15^{2})[/tex].

Compute the probability of an adult having an IQ between 106 and 124 as follows:

[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]

                             [tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]

*Use a z-table.

Thus, the area of the shaded region is 0.2898.

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

Answer:

she bought 5 shakes

Step-by-step explanation:

shakes: $3.39

tea: $2.50

2.50 + 3.39s = 19.45

3.39s = 16.95

s = 16.95 ÷ 3.39

s = 5

Check:

2.50 + 3.39(5) = 19.45

or

2.50 + 3.39 + 3.39 + 3.39 + 3.39 + 3.39 =  19.45

Answer:

No

Step-by-step explanation:

-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

Answer:

D. y=x-10

Step-by-step explanation:

Answer: C

Step-by-step explanation: Subtract X from both sides, you will have

Y= -x+10

Answer:240 rotations

Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].

Answer:

1.5652173913 words per minute.

Step-by-step explanation:

When you divide 36 words/ 23 minutes, you get 1.5652173913.

Answer:

2.449489743

Step-by-step explanation:

Answer:

8.84

Step-by-step explanation:

Answer:

8.84

Step-by-step explanation:

Answer:

x= 16 ft

length = 4 ft

width = 11 ft

Step-by-step explanation:

The area is length* width

so the length is ( x - 12 )

and the width is ( x - 5 )

the area is 44ft

so now set up an equation and solve for x

( x - 12 ) ( x - 5 ) = 44

distribute

x^(2) - 17x + 60 = 44

inverse operations

x^(2) - 17x + 60 = 44

                - 60     - 60

x^(2) - 17x = -16

factor

x^(2) - 17x = -16

x ( x - 17 ) = -16

now it is pretty clear that the answer is:

x = 16

just substitute it into the equation and check

( x - 12 ) ( x - 5 ) = 44

( 16 - 12 ) ( 16 - 5 ) = 44

( 4 ) ( 11 ) = 44

44 = 44

this also shows that

the length is 4

because:

( x - 12 )

= ( 16 - 12 )

= 4

and the width is 11

because:

( x - 5 )

= ( 16 - 5 )

= 11

Answer:

What do you need help with?

Answer:

y=−7/2x−5/2

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  

y−y1=m(x−x1)  to find the line perpendicular to  y=2/7x+11/7.

Answer:

17.2

Step-by-step explanation:

Answer: 23+x=6

-23 -23

1x/1 -17/1

x=-17

Step-by-step explanation:

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

 -6*x-(23)=0  

Step by step explanation :

Pulling out like terms

Pull out like factors :

-6x - 23  =   -1 • (6x + 23)  

Solving a Single Variable Equation:

2.1      Solve  :    -6x-23 = 0  

Add  23  to both sides of the equation :  

                     -6x = 23

Multiply both sides of the equation by (-1) :  6x = -23

Divide both sides of the equation by 6:

                    x = -23/6 = -3.833

Therfor the answer is : x = -23/6 = -3.833

9514 1404 393

Answer:

  -8 ≤ x ≤ 2

Step-by-step explanation:

We assume you intend the absolute value equation ...

  [tex]|x+3|\le5\\\\{-}5\le x+3\le5\qquad\text{rewrite as a compound inequality}\\\\\boxed{{-}8\le x\le2}\qquad\text{subtract 3}[/tex]

Answer:

x= 15/19 = 0.789

Step-by-step explanation:

Answer: 0.789 is the correct answer plz brainliest big brother

Answer:

its b

Step-by-step explanation:

took the test on edge

Answer:

I think it might be zero

Step-by-step explanation:

you might want to look into this all the way beforyou trust put it into*

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation: