In an inventory of 100 sodas, 65 are
diet and 30 are caffeine-free. Of the
diet sodas, 22 are caffeine-free. If a
soda in the inventory is selected at
random, what is the probability that it
is neither diet nor caffeine-free?

Answer:

(-7,9)

Step-by-step explanation:

When you flip over the x-axis, the y-value changes its sign. Vice versa.

[tex]\huge\boxed{\boxed{\bold{(-7, 9)}}}[/tex]

[tex]\hrulefill[/tex]

To reflect a point across the [tex]x[/tex]-axis, multiply or divide its [tex]y[/tex] coordinate by [tex]-1[/tex]:

[tex]P'=(-7, -9*-1)[/tex]

Multiply:

[tex]P'=\large\boxed{(-7, 9)}[/tex]

An image is attached showing the original point ([tex]P[/tex]) and its image ([tex]P'[/tex]).

Answer: it should be D i hope this helped (if it did let me know)

Answer:

c

Step-by-step explanation:

a.) 7+7=14 and 19-5=14 ✓

b.) 9+9=18 and 11+7=18 ✓

c.) 19 and 13+5=18 ✗

d.) 20-12=8 and 4+4+8 ✓

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} + {( - 1 - ( - 2))}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^{2} + {( - 1 + 2)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(14)}^{2} + {(1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{196 + 1}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}} [/tex]

Hope I helped!

Best regards! :D

Answer:

reflection

Step-by-step explanation:

this is a reflection off y=-x

Step-by-step explanation:

f(x) = x² + 2x - 4

g(x) = 3x + 1

f(g(x)) = f(3x + 1)

f(3x + 1) = [3x + 1]² + 2[3x + 1] - 4

= 9x² + 6x + 1 + 6x + 2 - 4

= 9x² + 12x -1

Answer:

f(X)= (x-1)²+16

Hope this helps

Answer:

-def. In multiplication, the order doesn't matter.

Step-by-step explanation:

A crucial property you can use to simplify this is the fact that, in multiplication, order doesn't matter.

3 * 2 = 6

2 * 3 = 6

5 * 2 * 3 = 30

2 * 3 * 5 = 30

3 * 2 * 5 = 30

Thus,

edf, or

e * d * f

is the same as def,

d * e * f

e * d * f = d * e * f

edf = def

Thus, 12edf is the same as 12def. We can put this in our expression:

12edf - 13def

12def - 13def

Now, we can see that this will equal -1def or -def

12def - 13def

-1def

-def

Answer: -def. In multiplication, the order doesn't matter.

Answer:

d = [tex]\sqrt{146}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-9-2)^2}\\d= \sqrt{(-5)^2+(-11)^2}\\d= \sqrt{25+121}\\d= \sqrt{146}[/tex]

Answer:

6 pm if you're saying in half a hour. 7 if you're saying an hour and a half

Step-by-step explanation:

Answer:

one-solution

Step-by-step explanation:

I took the test.

Answer:

Price of 1 hotdog= $0.50

Price of 12 hotdogs=12x$0.50= $6.0

Hope it helps :)

12 hot dogs will cost $6

12*0.5=6

Answer:

The value of h is

h = A/b.

The median would be better for describing the income of a typical person in the class because the professor's large salary skews the data to the right while all the students are towards the left and center.

Answer:

a = 16

b = 10

In the equation from the question there's no value that you can determine for c.

Step-by-step explanation:

Answer:

1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.

Hope this helps!

Multiply the fraction by 5/5 makes them equivalent fraction.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

1/2 and 5/10

Now, to make fraction equivalent we have to find the factorizing factor.

As, 1/2 x 5/5= 5/10

Hence, multiply the fraction by 5/5 makes them equivalent fraction.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Given:

The amount of time it took four soccer players to run from one goal line to the other is:

Player #1 - 10.4 seconds

Player #2 - 10.1 seconds

Player #3 - 9.9 seconds

Player #4 - 9.4 seconds

To find:

Soccer player whose time would be different from the others, if the data was only accurate to the ones place.

Solution:

We need to approximate the time to the ones place.

Player #1 - 10.4 seconds = 10 seconds

Player #2 - 10.1 seconds  = 10 seconds

Player #3 - 9.9 seconds  = 10 seconds

Player #4 - 9.4 seconds = 9 seconds

Therefore, the time of players 4 is different from others.

Hence, the correct option is D.

Answer:

The quotient of -27/9 is -3 hope this helps <3

Step-by-step explanation:

9 goes into 27, 3 times, since 27 is negative, it would be -3

Answer:

About $16

Step-by-step explanation:

To find the answer first round the weight from, 2.3 to 2. Next round the price per pound from $7.89 to 8.00. Last, multiply the weight of the bag by the price per pound. I hope this was helpful. Have a wonderful day!

Answer:

the person above me is right give them 5 stars and thanks.

Step-by-step explanation:

On solving for [v], we get v = p/m.

Momentum is defined as the product of mass and velocity of a body. Mathematically, we can write vector as -

p = mv

It is a vector quantity. In a three dimensional coordinate, the momentum vector can be resolved as -

[p] = p[x] a[x] + p[y] a[y] + p[z] a[z]

[p] = m {v[x] a[x] + v[y] a[y] + v[z] a[z]}

Given is the momentum of an object whose formula is p=mv.

We have the formula for momentum as -

p = mv

We can solve for [v] as -

p = mv

Divide by [m] on both sides, we get -

p/m = mv/m

v = p/m

Therefore, on solving for [v], we get v = p/m.

To solve more questions on momentum, visit the link below-

brainly.com/question/25121535

#SPJ2

Answer:

Bro this some alien hyroglyphics

Step-by-step explanation:

Answer:

m = - 27

Step-by-step explanation:

Given

3(m - 5) + 11 = - 85 ← distribute and simplify left side

3m - 15 + 11 = - 85

3m - 4 = - 85 ( add 4 to both sides )

3m = - 81 ( divide both sides by 3 )

m = - 27

Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y

Step-by-step explanation:

I took the test

Answer:

the measurements must be incorrect because when you solve it, it is obvious that 6x is not a 90 degree angle and 3x is not 45 degrees.

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Ques5) x value is 20 because 3x+6x=180

=>9x=180

=> x=180/9

=> x=20

Ques6) 6x= 6*x which is equal to 6*20=120

Ques7) 3x=3*x which is equal to 3*20=60

This is correct because 120+20=180 which is a straight angle given in the question. Hope this helped, Thank you.

Answer:

The first one is correct

Step-by-step explanation:

Absolute value (Anything that is inside the tabs) will always be positive, even if there is a negative sign in the number. If the number is already positive, it's still positive.

Answer:

the first one

Step-by-step explanation:

the negative sign is in the box

Answer:

1.50x + 2.70y - 84 = 79.80

Explanation: I REALLY don't know if this is right, but I hope I helped you out at least a little bit.

Answer:

x + y = 42

1.50x + 2.50y = $79.80

x = 28 hot dogs

y = 14 hamburgers

Step-by-step explanation:

x = hot dogs

y = hamburgers

Equation:

x + y = 42

1.50x + 2.50y = $79.80

I used Substitution

x = 42 - y

1.50(42 - y) + 2.50y = 79.80

63 - 1.50y + 2.70y = 79.80

63 + 1.2y = 79.80

Substract 63 from both sides

1.2y = 16.8

Divide 1.2 on both sides

y = 14

x + y = 42

x + 14 = 42

x = 28

y = 14

Don't know how to explain that well, I hope this helps.

Answer:

97, that's the answer.

Answer: 97.1

Step-by-step explanation: the tenth is the first number after the decimal place so in your question that number is the 0 and the number next to it is 8 so, our 0 needs to change because 8 is bigger than 5 on the number line which makes our 0 increase to 1. You don't need to change the whole number at all.

Answer:

x=9.4

Step-by-step explanation:

x intercept is the point where the graph crosses the x axis and y always =0

-2.65x+25=0

-2.65x=-25

x=-25/-2.65

x=500/53

x=9.4