How many solutions does this system of equations have?

Answer:

The answer is A. 8, 9, 10

Answer:

A. 8, 9, 10.

Step-by-step explanation:

Consecutive numbers counting numbers which are 1 greater than the other, therefore:

x + (x + 1) + (x + 2) = 27

(x + x + x) + (1 + 2) = 27

3x + 3 = 27

–3 –3

3x = 24

÷3 ÷3

x = 8.

x = 8 → [ x + (x + 1) + (x + 2) ] =

(8) + (8 + 1) + (8 + 2) = 8 + 9 + 10

Answer:

35

Step-by-step explanation:

Answer:

5.5hr

Step-by-step explanation:

Distance=550Km

Speed=100Km/hr

Speed=(Distance/Time)

Time=(Distance/Speed)

Time=550/100=5.5hr

Answer:

0

Step-by-step explanation:

The slope of a line is obtained thus :

Slope = Rise / Run

Rise = (x2 - x1)

Run = (y2 - y1)

x2 = 3 ; x1 = 0

y1 = - 20 ; y2 = - 20

Slope = (-20 - (-20)) / (3 - 0)

Slope = (-20 + 20) / 3

Slope = 0 / 3

Slope = 0

Hence, the slope or rate of change = 0

Answer:

b) The data is bell shaped hence the assumption of X been normally distributed is correct

c) The categories are

  <  5, 5-6, 6-7, 7-8,  8-9, 9-10

d) attached below

e) The probability of < 7 gallons = 0.167

Step-by-step explanation:

a) stem and leaf diagram for these data

stem             leaf

5               .3

6               .1, .2, .2, .2, .5, .7, .7, .8

7               .1, .1, .1, .3, .4, .4, .4, .6, .6, .6, .7, .7, .8, .9, .9, .9

8              .0, .1, .1, .2, .2, .2, .4, .5, .7, .7, .7, .8, .8

9              .0, .1, .2, .3, .5, .5, .6, .6, .7

10             0

b) The data is bell shaped hence the assumption of X been normally distributed is correct

c) The categories are

  <  5, 5-6, 6-7, 7-8,  8-9, 9-10

d) attached below

e) The probability of < 7 gallons = 0.167

Answer:

Top one, least to greatest:

[tex]-\sqrt{54}[/tex], [tex]-\frac{3}{9}[/tex], [tex]\frac{9}{5}[/tex], [tex]\pi[/tex], 6.6, [tex]\sqrt{75}[/tex]

Bottom one, greatest to least

9.6, [tex]\sqrt{34}[/tex], [tex]\frac{9}{9}[/tex], -4.2, [tex]-7\frac{2}{5}[/tex], [tex]-\sqrt{85}[/tex]

Answer:

Hope I helped and the answers are bellow

Step-by-step explanation:

Part A

-_/- 54 = - 7.38

-3/9 = - 0.3333

9/5 = 1.80

Pi= 3.14

Then 6.6

And finally _/- 75 = 8.66

Part B

9.6

_/- 34 = 5.83

9/9 = 1

-4.2

-7 2/5 = -7.40

-_/- 85 = - 9.21

Answer:

E

Step-by-step explanation:

Answer:

The suggestion proposed considering special cases, so that’s what we’ll do.

One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.

So if we do manage to get a general formula, we will be able to check it in these special cases.

Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)

Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.

If we recall our answer from that problem, we find the formulae for the surface area

π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.

Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.

Step-by-step explanation:

Answer: no

Step-by-step explanation:

Answer:

V>_8

Step-by-step explanation:

20+2.5v >_ 40

The number of visits Nolan can make to earn his first free movie ticket is 8.

The inequality that represents the information in the question is: 20 + 2.5x ≥ 40.

Where x represents the number of visits to the movie theater.

In order to determine the value of x, take the following steps combine similar terms

2.5x  ≥40 - 20

Add similar terms

2.5x  ≥ 20

Divide both sides by 2.5

x  ≥ 8

To learn more about inequality, please check: https://brainly.com/question/5031619

Answer:

a) 2

b) 1

c) 4

d) 8

e) 3

f)  9

g) 6

h) 5

i)  7

Step-by-step explanation:

Answer:

721/1000

Step-by-step explanation:

0.721/1 × 1000/1000=721/1000

9514 1404 393

Answer:

  8/7

Step-by-step explanation:

  [tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]

Answer:

the answer is 8/7

Step-by-step explanation:

:)))))

Answer:

m = -22

Step-by-step explanation:

Formula for parabola in it's vertex form is given by;

y = a(x - h)² + k

Where (h, k) is the coordinate of the vertex.

We are told that vertex is at (-6, 6) and the roots are at 10 and m.

Thus;

y = a(x - (-6))² + 6

y = a(x + 6)² + 6

Since 10 is a root, thus;

0 = a(10 + 6)² + 6

-6 = 256a

a = -6/256

a = -3/128

Thus,the equation is;

y = (-3/128)(x + 6)² + 6

Since m is a root, then;

0 = (-3/128)(m + 6)² + 6

-6 = (-3/128)(m + 6)²

Rearranging, we have;

128 × 6/3 = (m + 6)²

256 = m² + 12m + 36

m² + 12m - 256 + 36 = 0

m² + 12m - 220 = 0

Using quadratic formula, we have;

m = 10 or -22

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 36u^6-12u^3v + v^2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:  the answer to the question is a7x

Step-by-step explanation:

Answer:

0.8746 = 87.46% probability of at least 6 failures in 7 trials.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

7 trials

This means that [tex]n = 7[/tex]

The probability of success in any trial is 9%​?

So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]

Probability of at least 6 failures in 7 trials?

This is:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]

[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]

0.8746 = 87.46% probability of at least 6 failures in 7 trials.

Answer:

Option D

Step-by-step explanation:

Option A would not be accurate

Option B would not be accurate

Option C wouldn’t be a valid option

Option D would be accurate

Option E wouldn’t be accurate at all

Option F not a good one

The number of gallons of liquid that Courtney bought is 2 gallons.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given that,

Amount of milk bought = 2 quarts

Amount of orange juice bought = 4 quarts

Amount of apple juice bought = 2 quarts

Total amount of liquid bought = 2 + 4 + 2 = 8 quarts

We have the conversion,

1 quart of liquid = 0.25 gallon of liquid

Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons

Hence the total amount of liquid bought is 8 gallons.

Learn more about Measurements here :

https://brainly.com/question/29824090

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Answer:

i believe the answer is 19.99 inches

Answer: 44

Step-by-step explanation:

180-68-68 = 44

Answer:

NO it is not possible

Step-by-step explanation:

It is  not possible to determine from the confidence bound whether p < 0.01 and this is because since the 50.03 is less than 98% lower confidence bound which is 50.1 N , we  know that p value < 0.03 but  P value might be ≥ 0.01 . hence we cannot determine from the confidence bound whether p < 0.01

Answer:

CE= 17.59

Step-by-step explanation:

Arc Length=central angle/ 360 (circumference)

CE= 112/ 360 (2π9)

CE= 17.59

Answer:

Dominic can only make one smoothie considering he only has one full cup of yogurt.

Step-by-step explanation:

1.5(yogurt he has)-1.0(yougurt needed)=.5(leftover yogurt)

Answer:

Step-by-step explanation:

You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)

So in 1a i would simplify 7k-3k= 4k

then 4k=11

now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.

4k= 11

-   =  -

4      4

(4k over 4 and 11 over four)

so the answer is k = 2.75  cause 11/4 = 2.75

The answer is c

A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.