Given the figure below, find the values of x and z.

a) The meaning of the point (t, s) = (5, 6) is that the backpacker travels a distance of 5 miles in 6 hours.

b) The equation of the relationship between the distance traveled by the backpacker and time taken is equal to s = (6 / 5) · t.

According to the image attached aside, we find that the distance traveled by the backpacker (s), in miles, is directly proportional to the time taken (t), in hours. In other words, we have the following relationship:

s ∝ t

s = k · t      (1)

Where k is the constant of proportionality, in miles per hour.

a) The meaning of the point (t, s) = (5, 6) is that the backpacker travels a distance of 5 miles in 6 hours.

b) To determine the equation of the relationship, we need to calculate the constant of proportionality. If we know that t = 5 h and s = 6 mi, then the equation of the relationship is:

6 = 5 · k

k = 6 / 5

s = (6 / 5) · t

The equation of the relationship between the distance traveled by the backpacker and time taken is equal to s = (6 / 5) · t.

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The equation for the straight line given in standard form and slope intercept form are-

Straight lines can appear geometrically in five different cases in two dimensional space and are mathematically expressed in algebraic equation form. It is known as the general or standard form of a straight line.

Comparing the given equations with the general equation-

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The slope is 2 exactly.

Answer:

[tex]\sf\frac{-4+6}{2}[/tex] = 1

Step-by-step explanation:

Let's solve the problem,

→ (-4 + 6)/2

→ 2/2 = 1

Hence, the solution is 1.

The fraction of the shop’s T-shirts are blue T-shirts that are on sale and are size medium is 1/ 8

From the information given, we have the following deductions;

Let the total number of T-shirts be x

Number of Blue T-shirts that are blue

⇒ x × 3/ 5

⇒ 3x/5

Number of Blue T-shirts on sale

⇒ x × 3/ 5 × 5/ 8

multiply through

⇒ 15x/ 40

⇒ 3x/ 8

Number of Blue T-shirts that are on sale  and are of medium size;

⇒ 3x/ 8 × 1/ 3

Multiply through

⇒1/8

Thus, the fraction of the shop’s T-shirts are blue T-shirts that are on sale and are size medium is 1/ 8

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Answer:

the answer is a :)

Step-by-step explanation:

(B) Bar graph method of displaying the data could be used to display the data produced from that question.

Therefore, (B) bar graph method of displaying the data could be used to display the data produced from that question.

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The correct answer is given below:

300 people were asked the following question: How many times have you accessed the internet this week?

- none

- once or twice

- three or four times

- more than four times

Which method of displaying the data could be used to display the data produced from that question?

(a) Time Plot

(b) Bar graph

(c) Stemplot

(d) Histogram

The total number of muffins were 40 and the equation which represnts the given scenarion is (7/10)x = 28.

Let the total number of muffins be x.

According to the given question.

The number of muffins which blew away by wind = 28

And 28 muffins are the 7/10 part of the total muffins.

Therefore, the linear equation in one variable which represents the above scenario is given by

(7/10)   ×  x = 28

⇒ 7x = 280        (multiplying both the sides by 10)

⇒ x = 280/7          (dividing both the sides by 7)

⇒ x = 40

Hence, the total number of muffins were 40 and the equation which represnts the given scenarion is (7/10)x = 28.

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Answer:

20 gallons after 50 minutes

Step-by-step explanation:

(2gal/5min) * 10 = 20gal/50 min

50/5 = 10

2*10=20

The slope of the line on the diagram given is rise/run = 3/4.

The formula for calculating the value of the slope of a line on a coordinate plane is expressed as: change in y / change in x = rise of the line / run of the line.

Slope = rise/run.

Given the line shown in the graph above, we have the following:

The blue line represents the rise of the line = 3 units

The red line represents the run of the line = 4 units

Slope (m) of the line = rise/run = change in y / change in x = 3 units/4 units

Slope (m) = 3/4

Therefore, the slope of the line on the diagram given is rise/run = 3/4.

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Answer:

x = 5

Step-by-step explanation:

Because an isosceles triangle's angles will always add up to 180, it's quite simple plugging in angle J into a formula to find our answer.

Before we begin, recall that the bottom two angles of an isosceles triangle are equal to the other. Thus:

Unknown angle (H) = 14x+1

So...

38 + 14x + 1 + 14 x + 1 = 180

40 + 28x = 180
-40             -40
28x = 180

28x/28 = 180/28

We get:
x = 5

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Note that:

Calculating For the Value Of X

(14x + 1)° + (14x +1)° +38° = 180°

14x + 1 + 14x + 1 + 38 = 180°

28x + 2 + 38 = 180°

28x + 40 = 180°

28x = 180 - 40

28x = 140

x =5

Therefore the value of x is 5

Answer:

20

Step-by-step explanation:

P, perimeter of triangle = a + b + c

We're given P = 140 and it is an isosceles triangle.

We can change P to be 2a + b since 2 sides are equal in an isosceles

So, 140 = 2a + b

One side is 3x longer than the other. The equal sides in the triangle can not be 3x longer than each other since it is equal.

And the isosceles sides are longer than the 1 base side.

So if a = our isosceles sides, and b is our base side, than a is 3x our base side which can be written as a = 3b

Now, 140 = 2(3b) + b, and we can now solve

140 = 6b + b => 140 = 7b

20 = b

Our base length is 20.

Using the definitions of the mean and of the standard deviation of a data-set, we have that:

When the measure of 84 is added to the data-set, we have that:

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For you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.

Time taken by the large Ferris wheel to complete 1 revolution = 10 seconds.

Time taken by the small Ferris wheel to complete 1 revolution = 7 seconds.

For them to reach bottom at the same time, we need to calculate their least common multiple.

LCM of 10 and 7 will be :

LCM = 10 × 7 = 70 seconds.

Revolutions taken by large Ferris wheel will be = 70 / 10 = 7 revolutions.

Revolutions taken by small Ferris wheel will be 70 / 7 = 10 revolutions.

Therefore, for you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.

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Answer:

1st Q.

2nd Q.

180ML of 50% solution are needed.

Finding an equation's solutions, which are values (numbers, functions, sets, etc.) that satisfy the equation's condition and often consist of two expressions connected by an equals sign, is known as solving an equation in mathematics. One or more variables are identified as unknowns when looking for a solution. An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root.

EXPLANATION : To solve this question, we have initial stock solution of 10% and 50% concentration. We need to make final solution of 25% concentration of volume 16oz. [tex](1oz \approx 30ml)[/tex]

To find :- Volume of 50% required

Let us assume we require x oz volume of 50% stock Solution , Then volume of 10% stock added will be (16-x) oz.

Formula used here:-   C1V1 + C2V2 = C3V3

Where C1 = 50% = 0.5 , V1 = x oz    &   C2 = 10%= 0.1  , V2= 16-x oz

C3 = 25% = 0.25 ,  V3= 16oz

Putting values we have

(0.5*x) + (0.1(16-x)) = 16*0.25

0.5x + 1.6 - 0.1x = 4

x = 6

Hence Volume of 50% solution = x = 6 oz = 6*30 ml  = 180ml

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Answer: send a pic

Step-by-step explanation:

Given the following data:

A residual value can be defined as a difference between the measured (given or observed) value from a scatter plot and the predicted value from a scatter plot.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = given value - predicted value

Next, we would determine the predicted value by using the given regression equation as follows:

Hgt = 24 + 2.72(Age)

Hgt = 24 + 2.72(12)

Hgt = 24 + 32.64

Predicted value, Hgt = 56.64 inches.

Now, we can determine the residual value as follows:

Residual value = given value - predicted value

Residual value = 60 - 56.64

Residual value = 3.36 inches.

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The computation shows that there can be 14 7s that will be needed.

From the information, the gym lockers are to be numbered from 1 through 99 using metal numbers to be nailed onto each locker.

The number of 7s that can be found will be:

= 99/7

= 14

Therefore, there can be 14 7s.

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Answer:

she has 1.20 left

Step-by-step explanation:

half of 2.40 is 1.0

The function of amount paid in terms of kilograms of dalandan is A= 55k.

According to the statement

We have to find that the amount paid in terms of kilograms of dalandan.

So, For this purpose, we know that the

The Amount generally refers to a quantity, sum of two or more quantities.

From the given information:

The Php. 55 cost of dalandan

And then

Let A stands for paid amount

k stands for number of kg of dalandan

Amount = Cost × No. of items

Amount = 55 × k

A = 55 × k

A = 55k

So, The function of amount paid in terms of kilograms of dalandan is A is 55k.

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The airplane that cruises 1 kilometer in 1/12 of a minute has a speed of 12 km/min

The formula and procedure we will use to solve this problem is:

v = x/t

Where:

Information about the problem:

Applying the velocity formula, we get:

v = 1 km/ (1/12 min)

v = (1 km * 12) / 1 min

v = 12 km/ 1 min

v = 12 km/min

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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The null hypothesis is [tex]H_0:\mu=3[/tex] and the alternative hypothesis is [tex]H_1:\mu > 3[/tex]

There are two hypothesis considered in a statistical test. They are:

Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.

Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.

Here the sociologist is carrying out the test on the mean number of cars, [tex]\mu[/tex].

So to check whether the families own more than 3 cars in average,

the null hypothesis will be ,[tex]\bold{H_0:\mu=3}[/tex]  

and the alternate hypothesis will be,  [tex]\bold{H_1:\mu > 3}[/tex]

So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.

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Answer: 192 in

Step-by-step explanation:

volume of the rectangular prism:

2x8x8= 128 in

volume of the rectangular pyramid:

1/3 ( 8 x 8 x (5-2))= 64 in

Total: 128 + 64 = 192 in

By using the definition of similarity and the dimensions of each rectangle, a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5. (Correct choice: C)

Two rectangles are similar if both hold the same height to width ratio. Mathematically speaking, the two rectangles must fulfill the following requirement:

b / a = d / c            (1)

Where:

If a = 50 and b = 80, then the ratio of the second rectangle must be:

d / c = 8 / 5

By direct comparison with any of the four choices, we find that a rectangle with d = 72 and c = 45 fulfills the height to width ratio of 8 / 5.

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Answer: utilisez l'équation a^2+b^2=c^2.

Step-by-step explanation: Bonjour, je ne parle pas français donc j'ai utilisé un traducteur pour cela. Pour faire Pythagore, vous utilisez l'équation a^2+b^2=c^2. Donc, d'abord, placez les 2 côtés les plus courts du triangle au carré et additionnez-les. La racine carrée de la réponse pour trouver le côté le plus long. J'espère que cela t'aides.

Answer:

goooooood luccckkkk.....

Answer:

Step-by-step explanation:

Total Cost = D

D= Price  + Price (0.0775)

D= Price (1 +(0.0775)) Factoring the price

D= Price (1.0775)

D= 1.0775 Price