Algebra expressions Quotient of 30 and a number (please hurry)

The true statement about the change of scale is 1 cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given that, Tran planned a rectangular pool and made a scale drawing using cm as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm,

The scale factor of drawing to original pool was 1/5 before changing the length but when length changed to 32 m scale factor now is 1/4

Hence, The true statement about the change of scale is 1 cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

For more references on scale factors, click;

https://brainly.com/question/22312172

#SPJ1

Answer:

25%

Step-by-step explanation:

Answer:

115.2

Step-by-step explanation:

Answer:

x=115.2

Step-by-step explanation:

Multiply both sides by 19.2 to clear the fraction.

19.2*6=115.2

Answer:

there are 6 in bag b

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

180 divided by 2 is 90

Answer:

The correct calculation is 180 - 56

Step-by-step explanation:

From the question, we have DCG and DCF

looking at the diagram, we can see that both lie on a straight line and are a linear pair

So the addition of both will give 180

But DCG is 56

So;

DCF + 56 = 180

So;

DCF = 180 - 56

Answer:

each lb of jellybeans = $1.50

each lb of almonds = $2.75

Step-by-step explanation:

let j = jellybean cost for each pound

let a = almond cost for each pound

3j + 2a = 10

5j + 6a = 24

Using elimination method:

15j + 10a =50

15j + 18a = 72

------------------------

-8a = -22

a = 2.75

using 3j + 2a = 10

3j + 2(2.75) = 10

3j + 5.5 = 10

3j = 4.5

j = 1.5

Answer:

16

Step-by-step explanation:

36 t^2 comes from   6t

 so we have

   (6t -    )^2       the middle term will be represented by

                               2 x m x 6t   =  -48 t

                                    so m = -4

(6t-4)^2      would result in ' * '  = +16

the given proportional relationship y=0.5x with proportional constant is 1/2.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.

So the equation will be y = kx

or y = 0.5(x)

Here proportional constant is 1/2 or 0.5.

For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.

Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.

Learn more about proportional relationship, by the following link.

brainly.com/question/12242745

#SPJ1

Answer:

42

Step-by-step explanation:

it takes long but you need to count all the cubes on each row of the shape

The area of triangle JHK is 4.18 units²

A triangle is a polygon with three sides having three vertices. There are different types of triangle, we have;

The right triangle, the isosceles , equilateral triangle e.t.c.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of a triangle is expressed as;

A = 1/2bh

where b is the base and h is the height.

The base = 2.2

height = 3.8

A = 1/2 × 3.8 × 2.2

A = 8.36/2

A = 4.18 units²

Therefore the area of triangle JHK is 4.18 units²

learn more about area of triangle from

https://brainly.com/question/17335144

#SPJ1

Answer:

Infinitley many

Step-by-step explanation:

We know that rational numbers are numbers that are fractions and decimals.

Answer: \(37.4\ m\)

Step-by-step explanation:

Given length of shadow \(l=55\ m\)

Hill inclination \(21.4^{\circ}\)

Angle of elevation for sun \(48.3^{\circ}\)

Suppose the length of the pole is \(h\)

from the figure, and using sine rule. It can written

\(\Rightarrow \dfrac{55}{\sin 41.7^{\circ}}=\dfrac{h}{\sin 26.9^{\circ}}\\\\\Rightarrow h=55\cdot\dfrac{\sin 26.9^{\circ}}{\sin 41.7^{\circ}}\\\\\Rightarrow h=55\cdot 0.68011\\\Rightarrow h=37.40\ m\)

Answer:

c=12.5

Step-by-step explanation:

Multiply both sides by 2 to get rid of the fraction.

You are left with 2c-9=16

Add 9 To both sides

You are left with 2c=25

Divide both sides by 2 to get C by itself

You are left with c=25/2

Simplify

c=12.5

7p = - 42

p = -42/7

p = - 6

lol

The measurements of all the angles, if one angle is a right angle (90 degrees), and the second angle's measurement is six times smaller than the third angle's measurement of 180 degrees.

As per the data given in the above question are as bellow,

The data provided are as bellow.

The known angle (90) a pronumeral of r.

give the second angle (the one with all the subtraction) a pronumeral or x.

The third angle the pronumeral of y

x = 7y - 6

90 + x + y = 180

90 + 7y - 6 + y = 180

90 + 8y - 6 = 180

90 + 8y =186

8y = 96

y = 12.  

the third angle is 12

so 12 + 90 = 102

the second angle must equal 88 to make it to 180

For such more question on right triangle.

https://brainly.com/question/2437195

#SPJ4

Note the correct question is as bellow,

Given a right triangle, find the measures of all of the angles, if one angle is a right angle (90 degrees) and the measure of the second angle is six less than seven times the measure of the third angle. This is represented by the equation x=7y - 6

Answer:

i think this the answer

Step-by-step explanation:

26×14=ans

20×14+6×14=the same answer

10×26+4×26=same answer

Answer:

2

Step-by-step explanation:

The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

Learn more on the vectors here: https://brainly.com/question/2375446

#SPJ1

Given parameters:

Perimeter of the court = 100m

Unknown:

Dimensions = ?

Solution:

let the width = w

Length is 16m more;

          Length = w + 16

Perimeter  = 2(L + w)

        100 = 2 (w + 16 +  w)

         100 = 2(2w + 16)

          100 = 4w + 32

              4w = 100 -32

               4w = 68

                   w = 17

So, length = w + 16  = 17 + 16 = 33m

The dimensions of the court are length 33m and width 17m

The p-value indicates the probability of observing a correlation as strong or stronger than the one observed if there is no true correlation between the two matrices.

A Mantel randomization test is a permutation test that is commonly used in ecology and evolutionary biology. It is often used to test the hypothesis that the geographic distance between two populations or communities is correlated with the degree of similarity or difference between them.

This test is used to test the hypothesis that the spatial arrangement of a group of objects (e.g., individuals, populations, communities) is related to the variation observed in a set of measurements or characteristics (e.g., genetic distance, ecological similarity).

The Mantel test is a type of correlation test that determines whether there is a correlation between two matrices, such as a matrix of geographic distances between sites and a matrix of genetic or ecological distances between those same sites. It works by permuting the rows and columns of one of the matrices many times and recalculating the correlation coefficient for each permutation.

The distribution of correlation coefficients obtained from the permutations can be used to calculate the p-value, which indicates the probability of observing a correlation as strong or stronger than the one observed if there is no true correlation between the two matrices. If the p-value is below a specified threshold, such as 0.05 or 0.01, the correlation is considered significant.

The Mantel test is a powerful tool for investigating the relationship between spatial and genetic or ecological variation, and it is widely used in studies of population genetics, community ecology, and biogeography. In summary, the significance of the test statistic is calculated using the distribution of correlation coefficients obtained from the permutations of the matrices.

The p-value indicates the probability of observing a correlation as strong or stronger than the one observed if there is no true correlation between the two matrices.

To know more about distribution visit:

https://brainly.com/question/29664127

#SPJ11

Answer:

BD = \(\sqrt{82}\)

Step-by-step explanation:

calculate BD using the distance formula

BD = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = B (- 4, 6 ) and (x₂, y₂ ) = D (- 3, - 3 )

BD = \(\sqrt{(-3-(-4))^2+(-3-6)^2}\)

     = \(\sqrt{(-3+4)^2+(-9)^2}\)

     = \(\sqrt{1^2+81}\)

     = \(\sqrt{1+81}\)

     = \(\sqrt{82}\)

     ≈ 9.1 ( to 1 dec. place )

Answer:

9.055385 rounded to 6 decimal places

Step-by-step explanation:

The distance between 2 points in a 2_D Cartesian coordinate can be determined by the distance formula

\(d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

where \((x_1, y_1) \mathrm{\;and\:} (x_2, y_2)\) are the coordinates of the two points

This is also called Euclidean distance between the two points

Here coordinates of B are (-4, 6)  and those of D are (-3, -3)

So distance between them

\(d = \sqrt {(-3 - (-4))^2 + (-3 - 6)^2}\)

\(= \sqrt {(1)^2 + (-9)^2}\)

\(= \sqrt {{1} + {81}}\)

\(= \sqrt {82}\)

\(= 9.055385\)  rounded to 6 decimal places

The probability that at least one bulb out of 12 will stop working during holiday season making all of lights go out on string is given by 0.2153.

Number of bulbs working throughout the holiday season = 12

Chance of each bulb working throughout the holiday season = 98%

Let A be the event that at least one bulb stops working during the holiday season, .

Making all of the lights go out, and let B be the event that all bulbs work throughout the holiday season.

Find P(A), the probability of event A.

Use the complement rule to find P(A),

P(A) = 1 - P(B)

To find P(B), we need to calculate the probability that each of the twelve bulbs works throughout the holiday season,

0.98¹² = 0.7847

So, the probability that all bulbs work throughout the holiday season is 0.7847.

This implies,

P(A) = 1 - P(B)

       = 1 - 0.7847

       = 0.2153

Therefore, probability that at least one bulb will stop working during  holiday season, making all of the lights go out on the string is 0.2153.

learn more about probability here

brainly.com/question/13369746

#SPJ4

Answer:

3.5

Step-by-step explanation: 6 dived by 4 + 2 is 3.5

Answer:

a=16

Step-by-step explanation:

6 = a/4 + 2

take away 2 from both sides

4 = a/4

times 4 on both sides

16 = a

$144104.88 Bill have at the end of the twentieth year if he can earn 12 percent on his contributions.

Given that,

For the next 20 years, Bill intends to contribute the maximum $2,000 each year to his individual retirement account (ira).

We have to find how much will Bill have at the end of the twentieth year if he can earn 12 percent on his contributions.

We know that,

The worth of repeated payments at a specific future date, less a specified refund rate or a discount rate, is known as the future annuity value. The annuity amount increases with the discount rate.

According to the information provided, Future Value of Annuity equals:

FV= A×[(1+r)ⁿ-1]/r

Here,

A is periodic payment

r is rate per period

FV is future value

n is number of period

FV=2000×[(1+0.12]²⁰-1]/0.12

FV=2000×72.05244

FV=$144104.88

Therefore, $144104.88 Bill have at the end of the twentieth year if he can earn 12 percent on his contributions.

To learn more about percent visit: https://brainly.com/question/28840349

#SPJ4

Answer:

The initial height would be the intersection between the line and the y-axis, or the y-intersect

Step-by-step explanation:

Initial height means the height before any time has passed, so the x-axis representing time must have a value of 0. Because of this the initial height is the y-intercept.

Answer:

30+25pi

Step-by-step explanation:

100pi * 1/4 = 25 pi

3*10=30

30+25pi

If two variables are correlated, a change in one must directly produce a change in the other. (False)

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. It is a value between -1 and 1 that represents the strength of the relationship between two variables.

False. If two variables are correlated, a change in one may or may not directly produce a change in the other. Correlation means that there is a relationship between two variables, but it does not necessarily mean that one causes the other. It's possible for two variables to be correlated without any causal relationship between them.

To learn more about Correlation, Visit

brainly.com/question/28175782

#SPJ4