Lily and William are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Lily is 313 miles away from the stadium and
William is 334 miles away from the stadium. Lily is driving along the highway at a
speed of 44 miles per hour and William is driving at speed of 51 miles per hour. Let L
represent Lily's distance, in miles, away from the stadium t hours after noon. Let W
represent William's distance, in miles, away from the stadium t hours after noon.
Write an equation for each situation, in terms oft, and determine the interval of
hours, t, for which Lily is closer to the stadium than William.

Answer:

I think its b not sure Bc I am only in 8th grade

Answer:

x = -3.5

Step-by-step explanation:

1(x-2) = -5.5

x-2 = -5.5

 +2    +2

x = -3.5

Answer:

i think its b

Answer:

7

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

You divide 9 by 1 1/2.

Answer:

The answer is 35.2

Answer:

5/6

25/30

Step-by-step explanation:

Answer:

None of the Above

Step-by-step explanation:

10 - Not Prime

11 - Prime

12 - Not Prime

13 - Prime

14 - Not Prime

15 - Not Prime

16 - Not Prime

17 - Prime

18 - Not Prime

19 - Prime

6 numbers NOT PRIME

4 numbers PRIME

4 - 3 = 1

1 + 6 = 7

1/7

Answer/Step-by-step explanation:

Year = x

Weight (kg) = y

Rate of change between 2010 and 2011 = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Where,

[tex] (2010, 35) = (x_1, y_1) [/tex]

[tex] (2011, 30) = (x_2, y_2) [/tex]

Plug in the values

[tex] = \frac{30 - 35}{2011 - 2010} [/tex]

[tex] = \frac{-5}{1} = -5 [/tex]

Rate of change = -5kg per year

This means that there was a decrease in the weight of the winning dog form 2010 to 2011 by 5 kilograms

Answer:

Number 1 does not represent a function because it does not pass the Vertical Line Test.

Number 2 does not represent a function because it does not pass the Vertical Line Test.

Answer:

2 staircases

Step-by-step explanation:

3 : 36

1 : 12

2 : 24

If katie can build three staircases to make 36 obstacles against the other player. Then 2 staircases will she need to make 24 obstacles

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

katie can build three staircases to make 36 obstacles against the other player

We need to find the number of staircases she need to make 24 obstacles.

Let us form a proportional relationship.

Consider x as the number of staircases will she need to make 24 obstacles

3/36=x/24

Apply cross multiplication

3×24=36x

72=36x

Divide both sides by 36

x=2

Hence Katie should have 2 staircases to make 24 obstacles.

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Answer:

[tex]p=\frac{8}{7}[/tex]

Step-by-step explanation:

[tex]\frac{2}{4} = \frac{4}{p} - 3[/tex]

[tex]\frac{1}{2} = \frac{4}{p} - 3[/tex] (simplify)

[tex]\frac{1}{2}+3 = \frac{4}{p} - 3+3[/tex]

[tex]\frac{1}{2}+3 = \frac{4}{p}[/tex] (Add 3 to both sides)

[tex]\frac{7}{2}= \frac{4}{p}[/tex] (simplify)

[tex]\frac{7}{2}p= \frac{4}{p}*p[/tex]

[tex]\frac{7p}{2}=4[/tex] (Multiply both sides by p)

[tex]\frac{7p}{2}*2=4*2[/tex]

[tex]7p=8[/tex] (Multiply both sides by 2)

[tex]\frac{7p}{7}=\frac{8}{7}[/tex]

[tex]p=\frac{8}{7}[/tex] (Divide both sides by 7)

Answer:

10x + 20

Step-by-step explanation:

ok 1st you know whatever you do the sides you gotta do to the side across from it so 1st easy thing is add the 2x values from the sides then your 3x+10 multiply it by 2 thats your answer then add the value up

Answer:

4

Step-by-step explanation:

4 us the rifht answer just put 4

The value of the function in the interval (-4, -1) and (1, ∞) will be positive. Then the correct option is C.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The first number mentioned is the least because it is the smallest, and the final number listed is the greatest because it is the biggest.

From the graph, the value of the function in the interval (-4, -1) will be positive. And the value of the function in the interval (1, ∞) will be positive. Then the correct option is C.

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The graph is attached below. And the missing options are given below.

a. x < - 4

b. x > 1

c. -4 < x < 1 and x > 1

d. - 4 > x

Answer:

D

Step-by-step explanation:

Answer:

(-7/2, 3/2)

Step-by-step explanation:

picture below ;)

A line became by joining two coordinates, the midpoint of the given line segment is (-3.5,1.5).

A line segment is become by joining two points which has specific coordinates.

To find the midpoint coordinate between any two points then we have to add the x's coordinates and divide by two and similarly y's coordinates and divide by two.

For example, if you have two points as (a,b) and (c,d) then the coordinate of the midpoint joining this line will be (  [tex]\frac{a+c}{2}[/tex], [tex]\frac{b+d}{2}[/tex] ).

Since the points are  (-1,5) (-6,-2) so the midpoint joining this line segment will be

( [tex]\frac{-6-1}{2}[/tex], [tex]\frac{5-2}{2}[/tex] ) so (-3.5,1.5) will be the midpoint of the line segment.

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Answer:

2

Step-by-step explanation:

Answer:it. Actually 0

Step-by-step explanation:

Answer:

0.3472 = 34.72% probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal probability distribution:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Proportion [tex]p = 0.2[/tex], sample of [tex]n = 81[/tex]. So

[tex]\mu = p = 0.2[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{81}} = 0.0444[/tex]

Approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.

Probability of the sampled proportion being between 0.2 - 0.02 = 0.18 and 0.2 + 0.02 = 0.22, which is the pvalue of Z when X = 0.22 subtracted by the pvalue of Z when X = 0.18. So

X = 0.22

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.22 - 0.2}{0.044}[/tex]

[tex]Z = 0.45[/tex]

[tex]Z = 0.45[/tex] has a pvalue of 0.6736

X = 0.18

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.18 - 0.2}{0.044}[/tex]

[tex]Z = -0.45[/tex]

[tex]Z = -0.45[/tex] has a pvalue of 0.3264

0.6736 - 0.3264 = 0.3472 = 34.72% probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.

Answer:

C

Step-by-step explanation:

If the cost is represented by n, why would you subtract the cost of the notebook by 0.78 while multiping it witht the cost?

Answer:

C

Step-by-step explanation:

Answer:

E,F,C

Step-by-step explanation:

Answer:

me, what's the question so I can see how to figure out the answer

Answer:

for 20 the answer is B

Step-by-step explanation:

Answer:

A. 4×0= 0

Step-by-step explanation:

since it shows that any number you multiply by 0 still gives you 0

Answer:

-2x + 4

Step-by-step explanation:

The y intercept is 4. When x increases by 1, y decreases by 2.

Answer:

Y

Step-by-step explanation:

The rise is -2/1 and that is simplified to -2 because the line is going down

Answer:

2y +12

Step-by-step explanation:

5y - 3y =2y and then plus 12

Answer:

C

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

3−4−4+2

−1−4+2

−5+2 =-3

Answer:

-3

Step-by-step explanation:

Answer:

idc

Step-by-step explanation:

wah

wah

There will be 13 Liamas and 34 Kangaroos in the zoo.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a small petting zoo has Llamas and Kangaroos. There are 120 legs and 47 heads on this farm.

The equations will be formed as,

4L + 2K = 120

L + K = 47

Solve the above equations by elimination method,

4L + 2K = 120

-4L -4k = -188

____________

0  - 2K = -68

         K = 34

The number of the Lamas will  be,

L + K = 47

L = 47 - K

L = 47 - 34

L = 13

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