How do you use distributive property to answer (15x6) + (85x6)

The solution for the expression is X =87/ 48 or 1.812

To solve  for x in the equation we follow the step below:

Step 1: Open the bracket by multiply 4

= 4x +4x/3 = 9 2/3

= 4x +  4x /3 = 29/3

Step 2: Evaluate for X

= [tex]\frac{12x + 4x}{3}[/tex] = [tex]\frac{29}{3}[/tex]

= [tex]\frac{16x}{3}[/tex] =[tex]\frac{29}{3}[/tex]

Step 3: Cross multiply

: 3 (16x) = 3(29)

48x = 87

Step 3: Divide both sides by 48

=[tex]\frac{48x}{48}[/tex] =[tex]\frac{87}{48}[/tex]

x = [tex]\frac{87}{48}[/tex] = 1.812

Therefore, the solution for the expression is X =87/ 48 or 1.812

Learn more about expression here; https://brainly.com/question/4344214

#SPJ1

Using the concepts of the hypothesis test, it is found that the p-value is of 0.0007 corresponding to  ten students who  were surveyed and asked how many hours they spent playing video games.

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H[tex]_o[/tex] = μ=10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₁=μ> 10.2

Ten students were surveyed, so there are 9 df. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.

Thus, using a t-distribution calculator, the p-value of the test is of 0.0007.

Hence, when the ten students were surveyed and asked how many hours they spent playing video games and the test statistics is equal to 0.45,then the p-value is 0.0007

To know more about hypothesis test, visit here:

brainly.com/question/24166849

#SPJ4

The statement about the given expression is described below.

A math expression consist numbers, variables and operators its operation addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are considered as terms.

Expression, (a+b+c)(d+e+f)(a+b+c)(d+e+f) = (a +b+c)^2(d+e+f)^2

Thus, given expression has two factors which consist 3 terms.

To know more about expression visit:

brainly.com/question/1859113

#SPJ4

Answer:

9/4

Step-by-step explanation:

The equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.

According to the question,

We have the following information:

Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.

Now, we have the following arithmetic progression with common difference, denoted by d:

22, 22.5, 23, 23.5, ...

Formula used to find the nth term:

an = a+(n-1)d where a is the first term

A) 22+(d-1)0.5 = 30

B) The plant still have to grow 8 cm because the difference between 30 and 22 is 8 cm.

C) Value of d:

22+(d-1)0.5 = 30

22+0.5d-0.5 = 30

21.5+0.5d = 30

0.5d = 30-21.5

0.5d = 8.5

d = 8.5/0.5

d = 17

Hence, the equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.

To know more about equation here

https://brainly.com/question/14686792

#SPJ1

Answer:

= 7/12

Step-by-step explanation:

1 3/4 = 1 + 3/4 = 4/4 + 3/4 = (4+3)/4 = 7/4

(7/4)÷3 = 7/(4*3) = 7/12

The angle of depression from the top of the tower to a cell phone user who is 5 horizontal miles away and 200 feet above sea level will be 87.36 degrees.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates.

Here,

The cell phone tower's peak will be at a height of 1300 + 110 = 1410 feet above sea level.

Assuming that the user of a cell phone is 200 feet above sea level, the distance between them is 1410 feet- 200 feet, or 1210 feet.

The distance between them horizontally is 5 miles, or 5 * 5280, or 26400 feet.

The opposite cathetus is 26400 feet away and the neighboring cathetus is 1210 feet away.

the angle is 87.376 degrees, or tan(angle) = 26400 / 1210 = 21.82

A cell phone user 5 horizontal miles away and 200 feet above sea level will be depressed at an angle of 87.36 degrees from the top of the tower.

To know more about angle,

https://brainly.com/question/28451077?referrer=searchResults

#SPJ4

Answer:

67.859 g

Step-by-step explanation:

123.9 g - 56.041 g

= 123.900 g - 56.041 g

= 67.859 g

Answer:

Step-by-step explanation:

67.859

The equation of the line that passes through the points (-7,-5) and (2, 3) is y = (8/9)x - 11/9

The first point = (-7, -5)

The second point = (2, 3)

The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

The slope of the line m = (3- (-5) / (2 - (-7))

= (3 + 5) / (2 + 7)

= 8 / 9

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

The point = (2,3)

Substitute the values in the equation

y - 3  = (8/9)(x - 2)

y - 3 = (8/9)x - 16/9

y = (8/9)x - 16/9 + 3

y = (8/9)x - 11/9

Hence, the equation of the line that passes through the points (-7,-5) and (2, 3) is y = (8/9)x - 11/9

Learn more about slope intercept form here

brainly.com/question/9682526

#SPJ9

The overall budget the Mr Hollis has is $12800.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Mr.Hollis determines that he gives away 800 each month and the fraction is 1/6 of his budget.

The value of the overall budget will be illustrated as x.

Therefore 1/16 × x = 800

x / 16 = 800

x = 16 × 800

x = 12800

Hollis has $12800 as budget.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

The equation of the absolute function graph given in the diagram is: y = |x - 3| + 5.

y = a|x – h| + k is the equation, in vertex form, that represents the absolute value function where:

The vertex of the graph is (3, 5). This implies that:

(h, k) = (3, 5)

Substitute h = 3 and k = 5 into the equation in vertex form, y = a|x – h| + k:

y = a|x – h| + k

y = a|x - 3| + 5

To find the value of a, substitute a point on the graph, (5, 7), into the y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 - 5 = 2a [subtraction property]

2 = 2a

a = 1 [division property of equality]

Substitute a = 1 into the equation y = a|x - 3| + 5:

y = |x - 3| + 5

Learn more about equation of absolute value function on:

https://brainly.com/question/25290500

#SPJ1

Answer:

C) 480

Step-by-step explanation:

[tex]\sf \dfrac{3}{5}*800 = 3 * 160[/tex]

             = 480

The stock markets utilize "Ticker Symbols," which are distinctive one- to five-letter codes, to uniquely identify companies.Because stock quotes used to be printed on a ticker tape machine that resembled the images below, it is known as a ticker symbol.

To learn more about stock ticker refer

https://brainly.com/question/26128641

#SPJ1

A floor that is 3 3/4 yards wide and 5 1/2 yards long requires 20 5/8 square yards of hardwood flooring area.

length = 5 1/2 yd, breadth = 3 3/4 yd.

Make fractions out of both measurements first.

3 3/4 = 3 + 3/4

= 12/4 + 3/4

= 15/4

5 1/2 = 5 + ½

= 10/2 + ½

= 11/2

Area = (15 * 11)/(4 * 2) yd2

Area = 165/8 yd2

They essentially believed that 165/8 = 20 leftover 5 area = 20 5/8 yd2.

Learn more about area here

https://brainly.com/question/16151549

#SPJ4

Answer: D

PLEASE GIVE BRAINLIEST THANK YOU!!!

The random variable in given problem is "x" . The possible values of random variable x are 0,1,2 and 3..

All possible values of random variable is numrical in nature.

We have a table to right lists probabilities for the corresponding number of girls in three live births.

from the table we cleary see that the random variable is x which represents the number of girls in three live births.

Random variable is a variable whose value is unknown or a variable which assigns a numerical value to each trials in Sample Space.

Also, we can see in list that the number of girls in three live birth values are 0, 1 ,2 and 3 ( 3 live birth)

So, the possible values of random variable x is 4 i.e., 0, 1, 2 and 3..

From data we get a result that all possible values of random variable and it's probabilities are numrical in nature.

To learn more about Random varible ,refer :

https://brainly.com/question/14356285

#SPJ4

Answer:

9ty(3t - 2y)

Step-by-step explanation:

27t²y - 18ty² ← factor out 9ty from each term

= 9ty(3t - 2y)

Total fenced need to replaced is 60 feet

The Perimeter of rectangle is two times the sum length and width.

i.e., Perimeter of rectangle= 2( l+ w)

Given:

Rabbit Pen: Length= 3.5, width= 4.5

Garden: length= 12, width = 10

So, Perimeter of Rabbit Pen = 2( 3.5 + 4.5)

                                               = 2( 8)

                                              = 16 feet

Now, Perimeter of Garden = 2 (12 + 10)

                                              = 2( 22)

                                              = 44 feet.

Total fenced need to replaces= 16 +44 = 60 feet

Learn more about Perimeter of rectangle here:

https://brainly.com/question/15287805

#SPJ1

Answer:

Step-by-step explanation:

76

Answer: 1080 [tex]cm^{2}[/tex]

Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).

The sides of the triangular base are:

b1 = 13 in.

b2 = 14 in.

b3 = 15 in.

The triangular base is a right triangle, and so the height is one of our sides. We will use

h = 12 in.

The length of the prism is

l = 20 in.

total surface area = bh + (b1+b2+b3)*l

bh = 12*20 = 240 [tex]cm^{2}[/tex]

l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840 [tex]cm^{2}[/tex]

TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080 [tex]cm^{2}[/tex]

to know more about prism,

https://brainly.com/question/16128664

Answer:When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Step-by-step explanation: trust me

Answer:

Step-by-step explanation:

1. Put Words into Math.

Negative three minus one and two fifths= -3- 1 2/5

2. Solve the math problem

-3-1 2/5= -4 2/5 or   -22/5 in improper fraction

Answer: -4 2/5 or -22/5

It is proved that tan15°=2−√3 by using the identity of tan(A-B)

What are the 3 trignometric identities?

The right-triangle theorem, also known as Pythagoras theorem, is the foundation for the three Pythagorean trigonometric identities.

[tex]sin^{2}a+cos^{2}a=1[/tex]

[tex]1+tan^{2}a=sec^{2}a[/tex]

[tex]cosec^{2}a=1+cot^{2}a[/tex]

The reciprocal trigonometric identities are:

Sin θ = 1/Cosec θ or Cosec θ = 1/Sin θ

Cos θ = 1/Sec θ or Sec θ = 1/Cos θ

Tan θ = 1/Cot θ or Cot θ = 1/Tan θ

tan 15 = tan(45 - 30)

As tan(A - B) = (tanA - tanB)/(1 + tanAtanB)

tan15 = tan(45 - 30) = (tan45 - tan30)/(1 + tan30tan45)

                   = [tex]\frac{1 - \sqrt{3} }{1+\sqrt{3} }[/tex]

                   = [tex]\frac{1-\sqrt{3} }{1+\sqrt{3} }[/tex]   ×   [tex]\frac{1 - \sqrt{3} }{1-\sqrt{3} }[/tex]

                   = [tex]\frac{(1-\sqrt{3}) ^{2} }{1-\sqrt{3} ^{2} }[/tex]

                  =  [tex]\frac{(1-\sqrt{3}) ^{2} }{1-3}[/tex]

                 =  [tex]\frac{(1-\sqrt{3} )^{2} }{-2}[/tex]

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

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

                 = 2-[tex]\sqrt{3}[/tex]

Hence it is proved that tan15°=2−√3

To learn more about the trignometric identities from the given link.

https://brainly.com/question/7331447

#SPJ1

Using a 98% confidence interval, the total number of customers that should be sampled is 87.

The sample size refers to the number of observations in the data set, and as the sample size increases, the calculated value of population parameters becomes more reliable and true. In other words, as sample size increases, the value of the margin of error decreases.

Given,

Standard deviation σ=300

Confidence level: 0.98

Maximum allowable error: ε=75

The critical value is calculated using the standard normal table at the level of significance (0.02)

The critical value in this case is 2.326.

Sample size is calculated by,

n=((Z[tex]z_{\alpha /2}[/tex])²×σ²))/ε²

n=((2.326)²×(300)²)/(75)²

n=86.564≈87

Therefore, the required sample size is 87.

To know more about sample size, visit:

https://brainly.com/question/25894237

#SPJ4

The volume of the cuboid is [tex]\frac{6}{125}[/tex] and The volume of the cube is [tex]\frac{8}{27}[/tex]

The comparison of both a cube and a cuboid have six faces,a cube has six faces which are all squares and on the other hand, the cuboid is but a cuboid has rectangular faces.

What is a Cube?

A cube is a symmetrical three-dimensional shape which has all six sides equal.

To find the volume of cube is addition of all seen sides or the given sides all squared.

i.e volume of a cube= [tex]a^{3}[/tex]

volume of the cube=([tex]\frac{2}{3}[/tex])^3

Volume= [tex]\frac{8}{27}[/tex] cubic inches

How to dertermine the volume of a cuboid

Whar is a Cuboid?

A Cuboid is a three-dimensional solid shape that has 6 faces, 8 vertices, and 12 edges which the volume can be measured by multiplying the length by the breadth by the height .

Volume of a cuboid = L×B×H

Volume of a cuboid=[tex]\frac{2}{3}[/tex]×[tex]\frac{1}{5}[/tex]×[tex]\frac{3}{5}[/tex]

Volume of a cuboid=[tex]\frac{6}{125}[/tex] cubic inches.

To compare,

A cube has shapes of equal sides six faces and a cuboid faces are non-equal with six faces, 8 vertices and 12 edges.

Read more about Cube and Cuboid

https://brainly.com/question/29336881

#SPJ1

The perimeter of the rectangle is  20 + 20√3 inches.

The perimeter of a rectangle is sum of the whole side of the rectangle. The side bounded by the rectangle is the perimeter of the rectangle.

Therefore,  the diagonal of the rectangle is given as 20 inches.

Using trigonometric ratios, let's find the sides of the rectangle.

sin 30 = opposite / hypotenuse

sin 30 = x / 20

x = 20 sin 30

x = 20 × 0.5

x = 10 inches

Therefore, using Pythagoras theorem,

20² - 10² = b²

b² = 400 - 100

b = √300

b = √100 × 3

b = 10√3

Hence,

perimeter of the rectangle = 2(l + w)

perimeter of the rectangle = 2(10 + 10√3)

perimeter of the rectangle = 20 + 20√3

learn more on perimeter here: https://brainly.com/question/10807998

#SPJ1

Pieces of data such as $18,000 and $350,000 represent outliers in this chart in standard deviation .

How to interpret a standard deviation?

In this chart, there are outliers. The main outliers are $18,000 and $350,000. This is because we know the mean or average is $63,423, and therefore values that are too different from this average are considered outliers.

Learn more about "standard deviation"

brainly.com/question/16555520

#SPJ4

The sum of the first 16 terms of the defined arithmetic sequence is given as follows:

-520/16.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, being called common difference d.

The nth term of an arithmetic sequence is given by the equation presented as follows, called general equation:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term of the arithmetic sequence.

The sum of the first n terms is given by the equation presented as follows:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

The sequence in this problem is defined as follows:

[tex]a_n = \frac{5}{8} - \frac{5}{16}n[/tex]

The first term is of:

[tex]a_1 = \frac{5}{8} - \frac{5}{16} = \frac{5}{16}[/tex]

Hence the 16th term of the sequence is of:

[tex]a_{16} = \frac{5}{8} - \frac{5}{16}(16) = \frac{5}{8} - 5 = -\frac{35}{8}[/tex]

Hence the sum of the first 16 terms of the arithmetic sequence is defined as follows:

[tex]S_{16} = 8\left(\frac{5}{16} - \frac{35}{8}\right) = 8 \times \left(-\frac{65}{16}\right) = -\frac{520}{16}[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

#SPJ1