Carla and Marci are having a competition to see who can learn finish typing their research first. Carla already has 2 pages finished and can type 2 pages per hour. Marci has just started typing and can type 3 pages per hour. After how many hours will Carla and Marci have typed the same amount?

Answer:

y = 2

Step-by-step explanation:

The way you solve this is you transform it until one side of the equation is just "y"

3y + 2 = 8   ;    subtract 2 from both sides

3y = 6   ;     divide both sides by 3

y = 2

Answer:

8.6

Step-by-step explanation:

Use the law of cosines

[tex]d^{2} = e^{2} + f^{2} -2ef cos D[/tex]

[tex]d^{2} = 9^{2} + 13^{2} - 2(9)(13) cos 41\\ = 81 + 169 - 176.602\\ = 73.3979\\d = \sqrt{73.3979} = 8.6[/tex]

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

The triangle is equilateral , since 3 angles = 60°

Then base AB = 12

Find height CD using the sine ratio in the right triangle ( there are 2 )

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CD}{BC}[/tex] = [tex]\frac{CD}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ← exact value of sin60° ( cross- multiply )

2CD = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

CD = 6[tex]\sqrt{3}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 12 × 6[tex]\sqrt{3}[/tex] = 6 × 6[tex]\sqrt{3}[/tex] = 36[tex]\sqrt{3}[/tex] units² → C

Step-by-step explanation:

the rate of change in A

10-5/4.5-3 .5

=5.

but where is the function B??

just pick two y values and it's corresponding x values

the rate of change is equal to the gradient .

change in y values divided by change in the x values.

Answer: 8

Step-by-step explanation:

x^2 = (34•34)-1,092

x^2= 1,156-1,092

x^2= 64

x=8

Correct question is;

Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)​

Answer:

GCF = 5x² + 8x - 9

Step-by-step explanation:

The given polynomial is;

10x³ + 16x² - 18x

First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.

The greatest number is 2.

Secondly let's inspect the variables to see what we can factor out.

They all contain x. Thus, x is a factor.

Thus, we will divide each term by 2x to obtain the GCF of the polynomial.

GCF = (10x³/2x) + (16x²/2x) - (18x/2x)

GCF = 5x² + 8x - 9

========================================================

Explanation:

We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:

b-a < c < b+a

3-3 < c < 3+3

0 < c < 6

The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.

Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.

Answer:

Step-by-step explanation:

The simplest form is 78.

Answer:

164.93 I believe is the answer

Answer:30000 just 5000+  six time

Answer:

b) 2 was not multiplied by 5

Step-by-step explanation:

Correct answer: 2x + 10

Answer:

-4(y - 2) = 12

Standard form:

−4y − 4 = 0

Factorization:

−4(y + 1) = 0

Solutions:

y = −4

4

= −1

Step-by-step explanation:

Answer:

bro what is even happening here

so confused but okay

Answer:

∠ LHJ = 10°

Step-by-step explanation:

Consecutive angles in a parallelogram sum to 180°

Then

∠ KLH + ∠ LHJ = 180°

170° + ∠ LHJ = 180° ( subtract 170° from both sides )

∠ LHJ = 10°

Answer:

Option 3

Step-by-step explanation:

The sentence provides the reasoning for a possible explanation.

Now, let's look at all the possible answers:

1. This doesn't show us that scientists cannot agree. A sentence like that could be that many scientists have analyzed the region, but they did not find anything.

2. This does not tell us that this region is interesting. A sentence like that would be saying that the cause of the lightning is unknown.

3. This is correct- it provides evidence for a main theory.

4. This does not explain why people name the lightning a certain way. A sentence like that could be a local fable.

Answer:

B

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°

∠ I + ∠ K = 180° , that is

91° + ∠ K = 180° ( subtract 91° from both sides )

∠ K = 89° → B

Answer:

7.36e+11

Step-by-step explanation:

Answer:

a=23 b=12 c=12/23

Step-by-step explanation:

I just did it on EDG, got it wrong so i could give you the answer XD

The likelihood that a randomly chosen consumer on plan B would text on the phone the most frequently is 13/23.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

According to the given data,

Number of customers on plan B = 13 + 10 = 23

Number of customers on plan B who text = 13

P(text|plan B) = P(text and plan B) / P(plan B),

where P(text and plan B) is the probability of a customer being on plan B and texting, and P(plan B) is the probability of a customer being on plan B, can be used to calculate the likelihood that a randomly chosen customer on plan B will text the most.

So,

P(text|plan B) = 13/23

Therefore, the probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ3

Answer:

b

Step-by-step explanation:

Given

12x+ 8 = 10x + 18 ( subtract 10x from both sides )

2x + 8 = 18 ( subtract 8 from both sides )

2x = 10  ( divide both sides by 2 )

x = 5

The equation has one solution

Answer:

B

Step-by-step explanation:

verification

12 x 5 + 8 = 10 x 5 + 18

68= 68

since the answer is 68

it is the only one answer that you can get

Answer:

(-1, 4)

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation:

Answer:

never, never, sometime, sometimes, and always.

Step-by-step explanation:

I'm smart lol

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

           = [tex]\frac{x}{d}[/tex]

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is [tex]30^{o}[/tex], and the height of the tree is 10 m, then the distance, d, across the river would be;

d = [tex]\frac{10}{0.5774}[/tex]

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

None of the given sides or angles are congruent, so they are not congruent.

Answer:

2nd and 5th one are correct. Rest of them r wrong

Step-by-step explanation:

Answer:

The function is;

f(x) = $3,250

Step-by-step explanation:

The fixed amount the consultant receives each month = $3,250

The number of hours the consultant works each month = x

Let f(x) represent the function of the total amount the consultant receives each month

Therefore;

The function f(x) = The total amount the consultant receives each month = The fixed amount the consultant receives = $3,250

∴ f(x) = $3,250.

The function 'f' which represents the total amount the consultant receives each month is f(x) = $3,250 (Given that the consultant receives a constant amount each month).

Answer:

(5 x + 7)(x^2 + 3)

Answer:

A) which graph represents the equation x^2 + y^2 = 2.25?

First, the general equation for a circle can be written as:

(x - a)^2 + (y - b)^2 = R^2

This is a circle of radius R centered in the point (a, b).

Then we can rewrite our equation as:

(x - 0)^2 + (y - 0)^2 = (√2.25)^2 = (1.5)^2

Then we have a circle centered at the point (0, 0) and with a radius equal to 1.5

Then we can see that the correct one is graph C.

b) Now we want to solve the system:

x^2 + y^2 = 2.25

y - x = 1

graphically.

To do it we need to graph both equations and see in which points do they intersect.

We already have the first equation graphed, so we only need to also graph the linear equation:

y - x = 1

y = 1 + x

An example of this can be seen in the graph below:

There we can estimate one of the intersections as (0.4, 1.4) and the other as (-1.4, -0.4)

12 books divided by 8 months = 1.5 books per month

hope it helps:))

Hi there!

Your job, at least on this triangle, is pretty simple. This is a 45-45-90 triangle.

Because this is a 45-45-90 triangle, both legs are 5. That leaves us to find the hypotenuse, x.

And a 45-45-90 triangle's hypotenuse is easy. You just take the measure of one of the legs, or 5 in this case, and stick a [tex]\sqrt{2\\}[/tex] right next to it. So your answer will be:

[tex]5\sqrt{2}[/tex]

I hope this helps! :)

Answer:

It would be 1 since x is directly = to y

Step-by-step explanation: