The table contains data on the number of people visiting a historical landmark over a period of one week.

Answer:

148              

Step-by-step explanation:

The triangle are similar because the angle measurements are the same.  

180-51-34 = 95

180-95-51 = 34

If we match up the corresponding sides we see that the side with 45 corresponds to the side with 36.  Now we need to find the scale factor.

Let s = the scale factor

45s = 36  Divide both sides by 45

s = .8

This means that the corresponding length of the triangle on the right is .8 of the triangle on the left.

The corresponding side to x is 79, so 79 x .8 = 63.2.  Now that we know the three sides we can add them together to find the perimeter.

63.2 + 36 + 48.8 = 148

Answer:

Perimeter = 147.9

hope this helps!

The value of x in the equation given is x = -4.4

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.

In this case, the value will be expressed by subtracting the variables that are given in order to get the other term. This will be:

2x + 4 = -3x - 18

Collect like terms

2x + 3x = -18 - 4.

5x = -22

Divide

x = -22 / 5

x = -4.4

This illustrates the concept of equations.

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Answer:

∠ D ≈ 31.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then

∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )

1)

white (w) marble

yellow (y) marble

green (g) marble

red (r) marble

Pw+Pw+Pg+Pr=1 (Eq. 1 )

w+y+g+r=12 (Eq. 2)

Answer: There are 12 marbles in the bag. SInce the question says the bag contains 12 marbles.

2)

a) Pw+Py = Pg

w + y = g (Eq. 3)

b) Pw = 10/40 = 1/4

If P = 1/4, if we have 12 marbles, P=3/12

Then, we know that we have 3 white marbles

Answer: There are 3 white marbles in the bag.

3) Pr = 1/5. Considering that 2 marbles were removed, we have 10 markles. The Pr=2/10.

Answer: Thus, we have 2 balls red.

4) From 12 marbles, we already know that 3 are white and 2 are red.

Then: 12-3-2= 7

Answer: 7 marbles are green or yellow.

5)

From question 4 , we know that;

y + g = 7

y = 7 - g (Eq. 4)

And from Eq. 3

w + y = g

3 + y = g

Substituing Eq. 4 in Eq. 3:

3 + 7 - g = g

10 = 2g

10/2 = g

g = 5

And:

y = 7 - g

y = 7-5

y = 2

The numeratiors are:

3 (Pw), 2 (Py), 5 (Pg)

5) 2 = yellow marbles

5 = green marbles

At the unit rate of reading 93.5 books in 8.5 months, Annarose expects to read 132 books annually.

The unit rate is the ratio or speed that Annarose reads books.

From her established unit reading rate, she reads 11 books in a month.

The unit rate is computed by ensuring that the denominator becomes 1 after the division operation.

The number of books she read in 8.5 months = 93.5 books.

The number of books she can read in 1 month = 11 books (93.5/8.5).

The number of books she can read in 12 months = 132 books (11 x 12).

Thus, given Annarose's reading unit rate, she expects to read 132 books annually, at an average of 11 books every month.

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The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is;

⇒ - 9 + 7x < 47

Now, Solve the expression as;

The inequality is;

⇒ - 9 + 7x < 47

Solve as;

⇒ - 9 + 7x < 47

Add 9 both side;

⇒ - 9 + 7x + 9 < 47 + 9

⇒ 7x < 56

Divide by 7, we get;

⇒ 7x/7 < 56/7

⇒ x < 8

Therefore, The solution of the inequality - 9 + 7x < 47 will be;

⇒ x < 8

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The cost or unit price for purchasing each pair of work gloves is $1.19.

The cost of 7 dozen pairs of padded work gloves purchased by the contractor is $99.96.

The incorrect unit price calculated by the contractor is $14.28 per pair.

Now, we know 1 dozen is equal to 12 units.

Therefore,

The number of pairs of gloves purchased = 7 × 12 = 84

As the total cost is $99.96, the cost of each pair will be:

= $99.96 ÷ 84

= $1.19

The error by the contractor was that she didn't consider the word dozen in his calculation. She simply divided the total cost by 7 to calculate the price per pair.

The unit price of purchasing each pair of work gloves is $1.19.

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m is perpendicular to l, s is perpendicular to t, and t is perpendicular to u. Based on the angle shown, these lines are parallel.

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Answer:

5mph

Step-by-step explanation:

Step-by-step explanation:

l = length

w = width

we know, the perimeter of our rectangle is

2×l + 2×w = 600

and that tells us

l + w = 300

l = 300 - w

the area of the rectangle is

A = l × w

so, we use the previous equation in this one :

A = (300 - w) × w = -w² + 300w

this is a quadratic equation that is opening down (negative initial factor).

so the vertex of this parabola is the maximum.

the x (or in our case w) coordinate of the vertex is

-b / 2a

a = -1

b = 300

so,

w = -300 / (2×-1) = -300/-2 = 150 ft

and l × w = 300

l = 300 - w = 300 - 150 = 150 ft.

the maximum area for 600 ft fence is a square with 150 ft side length.

Answer:

a. Actual size: 20 m x 15m

b. 1,000,000 : 1

Step-by-step explanation:

(a) Since scale is 1:1000, multiply both length and width on the floor pan to get actual length and width of house

a. Actual size

= 2 x 1000 cm x 1.5 x 1000 cm

= 2000 cm x 1500 cm

= 20m x 15m (since 1 m = 100 cm

(b) Area on plan = 2 x 1.5 = 3 cm²

Actual area = 2000 x 1500 = 3,000,000 cm²

Ratio of actual area to floor plan area
= 3,000,000 / 3 = 1,000,000 : 1

In 193 selections at least 3 jacks occur.

To decide whether to use combination or permutation, we need to look at whether the order matters, as follows:

In the context of this problem, the order in which the cards are chosen is not important, hence a combination is used.

The number of combinations of x elements from a set of n elements is given according to the formula presented below.

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

There are two cases in which at least 3 jacks occur, as follows, considering that a standard deck has 4 jacks:

Hence the number of ways to choose the cards is calculated as follows:

[tex]C_{4,3}C_{48,1} + C_{4,4} = 4(48) + 1 = 193[/tex]

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This question is based on dilation. Therefore, the scale factor [tex]$-\mathbf{4}$[/tex] and [tex]$\mathbf{2 . 5}$[/tex] are for expansion of flgure. And,  2/3 and -3/4  are for the contraction of flgure.

We must choose the scale factor of dilation for contraction and expansion in this question.

As we know that,

In a dilation, a scale factor is greater than 1 or less than -1 cause an expansion.  It will make the figure larger.

That  means, -4 is an expansion, since it is less than -1,

And 2.5 is an expansion, since it is greater than 1.

A scale factor that is greater than -1 but less than 1 cause contraction of figure.  It will make the figure smaller.  

This means that,

2/3  Is an expansion, slnce It is less than 1 , and -3/4  Is a contraction, slnce It is greater than -1.

Therefore, the scale factor [tex]$-\mathbf{4}$[/tex] and [tex]$\mathbf{2 . 5}$[/tex] are for expansion of flgure. And, 2/3 and -3/4  are for the contraction of flgure.

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Placing the students in order from fastest to slowest, in terms of who has the fastest water filling rate is;

1. Miles

2. Dubem

3. Hayden

The way the fastest rate is determined is by finding the unit rates

A unit rate (or unit ratio) is a ratio that describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Now, from the question, the rate would clearly be number of walls filled per minute.

1) Mills fills his wall at a rate of 12 wall in 9 minutes. Thus;

Mills unit rate = 12/9 = 4/3 walls filled per minute = 1.333 walls filled per minute

2) Hayden can fill his wall at 15 wall in 313 minutes. Thus;

Hayden's unit rate = 15/313 walls filled per minute = 0.0479 walls filled per minute

3) Dubem can cover 49 wall in 638 minutes. Thus;

Dubem's unit rate = 49/638 walls filled per minute = 0.0768 walls filled per minute

Looking at the decimal unit rates, we can see that fastest to slowest in order are;

1. Miles

2. Dubem

3. Hayden

The way I knew who was faster was to look at the decimal values of their unit rates and it is seen that Miles covered the most part of wall in one minute

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Answer:

x= -103/18

Step-by-step explanation:

1.distribute, 3+2(3x-1)=100/3(2-3)

3+6x-2=100/3 (2-3)

2

Subtract the numbers

3

Rearrange terms

4

Subtract the numbers

5

Multiply the numbers

6

Subtract

1

from both sides

7

Simplify

8

Divide both sides by the same factor

9

Simplify

The correlation coefficient between the number of volunteers x and the number of bags of trash collected y, so the percentage of variation in the number of bags of trash collected is 92.92 %.

You may gauge how closely two variables are related by looking at their correlation coefficients. Pearson's correlation coefficient is the most often used of the several correlation coefficient types. Often employed in linear regression, Pearson's correlation (also known as Pearson's R) is a correlation coefficient. It's likely that you'll learn about Pearson's R first if you're just getting started in statistics. Actually, Pearson's is typically mentioned when someone mentions the correlation coefficient.

According to the question,

The correlation coefficient i.e., r between x and y is 0.964.

r = 0.964

Squaring on both sides :

r² = 0.964²

r² = 0.9292

Now, convert this into percentage form by multiplying it will 100.

⇒0.9292 × 100

= 92.92 %.

Hence, the percentage of the variation will be 92.92 %.

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In the picture, there is a graph and table. It displays the graph of the function f. Option C is correct, As x approaches, they have different x- intercept and y-intercepts but the same end behavior∞.

Given that,

In the picture, there is a graph and table.

It displays the graph of the function f.

Which of the two statements compares the two functions correctly.

A. Their x- and y-intercepts are identical.

B. As x gets closer to, they exhibit the same x-intercept and end behavior∞.

C. As x approaches, they have different x- and y-intercepts but the same end behavior∞.

D. As x gets closer to, they exhibit the same y-intercept and end behavior∞.

So, from the given table and graph we get

Option C is correct.

Therefore, Option C is correct.

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Let's call the speed of the wind as w, and the speed of the plane when its windless as p.

Since an airplane takes 4.5 hours to travel 913.5 miles while flying against the wind, to find its speed we just need to divide the distance travelled by the time

When the plane is flying against the wind, its speed is equal to the speed of the plane when its windless minus the speed of the wind.

Since we already know the speed of the plane on both situations, we can substitute those values on the expression above and solve for w.

The speed of the wind is 34 miles/h.

Word (C) zero describes the slope of the line of the given graph of the linear function.

So, we can infer from the provided graph that its equation is:

Which is also readable as:

Putting it into comparison with the slope-intercept form:

We will obtain a slope of 0.

Therefore, word (C) zero describes the slope of the line of the given graph of the linear function.

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The correct question is given below;

graph a linear function is shown.

Which word describes the slope of the line?

A. positive

B. negative

C. zero

D. undefined

Using exponent properties, we can rewrite the expression using a single whole-number exponent as:

(0.25³)⁵  = 0.25¹⁵

Here we have the numerical expression:

(0.25³)⁵

Here we need to use the exponent property:

(xᵃ)ᵇ = xᵃ*ᵇ

Using that in our expression, we will get:

(0.25³)⁵ = 0.25³*⁵ = 0.25¹⁵

So we already have a single whole-number exponent, we can also rewrite:

0.25¹⁵ = (1/4)¹⁵

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Hey there!

[tex]-5x > 2(x-14)[/tex]

Our first step is to simplify both sides of the inequality:

[tex]-5x > 2x-28[/tex]

Now, we need to subtract 2x from both sides:

[tex]-5x-2x > 2x-28-2x\\-7x < -28[/tex]

Our final step is to divide both sides by -7:

[tex]\frac{-7x}{-7} > \frac{-28}{-7}[/tex]

[tex]x < 4[/tex]

Hope this helps!

Answer:

15kg

Step-by-step explanation:

$60 divide by $4 kg

60/4=15

Answer:

17a+10b

Step-by-step explanation:

hope this work have a nice day

Answer:

[tex] = \frac{3}{5} \\ [/tex]

The value of x of angle ∠C is 66°.

So, the value of x:

As we can see that A is a straight angle. Then ∠BAC will be:

Now, we know that in △ABC, ∠A = 24° and ∠B = 90° (Given), then ∠C will be:

Therefore, the value of x of angle ∠C is 66°.

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Scarlett should sell more than ¼ of batch of ponchos to make the profit.

Given,

The revenue made by Scarlett from selling batch of ponchos, R = 20n

The expenses she incurs from producing a batch of ponchos, E = 10√n

The total profit, P = R - E

            = 20n - 10√n

Now,

Profit is earned when Revenue > Expenses

20n > 10√n

÷10   ÷10      

2n >  √n

(2n)² >  (√n)²

4n² > n

4n² - n > 0

n(4n - 1)> 0

n > 0    and     4n - 1 > 0

                            n >  1/4

That is, Scarlett should sell more than ¼ of batch of ponchos to make the profit.

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The solution to the inequality  |x+4| - 6 < 9 is -19 < x < 11.

The inequality can be solved as follows;

|x+4| - 6 < 9

add 6 to both sides of the inequality

|x+4| - 6 < 9

|x+4| - 6 + 6< 9 + 6

|x+4| < 15

applying absolute rule,

- 15 < x + 4 < 15

Therefore,

x + 4 > -15 and x + 4 < 15

x > -15 - 4  and x < 15 - 4

x > - 19 and x < 11

Therefore, the final inequality is -19 < x < 11

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Answer:

the first one took it on egde

Step-by-step explanation:

Answer:

y = -16 + 4x

Step-by-step explanation:

The standard slope equation is y=mx+b. M is the slope and also the y intercept so if you look at the graph you can see that -16 is the y intercept, next you have to find the x intercept, why? I don't remember but then you do that in the equation, as you can also see on the graph, 4 is the x intercept so its 4x. put that into y intersect form at it's y = -16 + 4x