Type an equation for the following pattern.

Answer: -6

Step-by-step explanation:

8t+30-2t-16=-22

8t-2t+30-16=-22

6t+30-16=-22

6t+14=-22

6t=-22-14

6t=-36

t=-6

Answer:

Step-by-step explanation: This vould be the answer because it could have been turned into an epression

Answer:

x = 7

Step-by-step explanation:

The dashes on each side of the rectangle indicate congruency.

This means that PS = QR, or 2x - 3 = 11.

Now we would solve for this like normal.

2x - 3 = 11 add 3 to each side

+ 3 + 3

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

2x = 14 now divide by 2 to find x

÷ 2 ÷2

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

x = 7

Answer:

79 boxes

Step-by-step explanation:

1500-155= 1345

1345/17=79.11

Answer: The amount less will be with held weekly for federal income tax is $40.65.

Step-by-step explanation:

Given data,

Nico Joven presently earns $348.40 per week.

The amount of money deducted from federal income tax is:

                          = $348.40/2

                          = $174.20

He claims himself and his mother as allowances.

He is single. He is to get a new job classification, which will result in a 15% increase in pay.

The increase in pay will be:

                           = 15% × $348.40

                           = $52.26

After his marriage, he will claim his wife, himself, and his mother as allowances.

The new salary will be the addition which is $400.66.

The new money with held will be:

                            = $400.66/3

                            = $133.55

The amount less withheld will be:

                      = $174.20 - $133.55

                      = $40.65

Therefore,

The amount  less will be with held weekly for federal income tax is $40.65.

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The expanded frequency distribution is attached

This will have additional columns which include

The midpoint

The mid point is gotten by adding the lower class limit and the lower class limit and dividing by two

for instance: 10 + 20 / 2 = 10

The relative frequency

In this column they are in percent and the alue is gotten by first summing up all the frequency then finding the percent of each.

for instance: the total sum of the frequency is 365 so

( 17 / 365 ) *  ( 100 / 1 ) = 4.66%

The cumulative frequency

The cumulative frequency is solved by sequential addition of the frequency

for instance:

17 next is

17 + 44 = 61

61 + 68 = 129

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Using the Empirical Rule, it is found that:

a) 68% of the people have an IQ score between 81 and 119.

b) 0.3% of people has an IQ score less than 43 or greater than 157.

c) 16% of people has an IQ score greater than 119.

It states that, for a normally distributed random variable:

In item a, 81 and 119 are the bounds within 1 standard deviation of the mean, hence 68% of the people have an IQ score between 81 and 119.

In item b, 43 and 157 are the bounds within 3 standard deviations of the mean, hence 0.3% of the distribution is outside this range, that is, 0.3% of people has an IQ score less than 43 or greater than 157.

In item c, considering the symmetry of the normal distribution, the upper 16% has IQ score greater than 119, hence 16% of people has an IQ score greater than 119.

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Answer:

17.04 x 6.2= 105.648

Hope this helps :)

The gallons of a 80​% antifreeze solution must be mixed with 70 gallons of ​25% antifreeze to get a mixture that is ​70% ​antifreeze is  x=315

Use a weighted average........ let x = an unknown number of gallons of the 80​% solution.

then     {x(80​%) + 70 (25%)}/{x +70} =70% ​

{x*[tex]\frac{80}{100}[/tex] + 70*[tex]\frac{25}{100}[/tex]}/{x +70} =70% ​

{[tex]\frac{4x}{5}[/tex] +17.50}/{x +70} =70% ​

[tex]\frac{4x+87.5}{5x+350}[/tex] = [tex]\frac{70}{100}[/tex]

40x+875 = 35x + 2450

40x-35x = 2450-875

5x = 1575

x=315

Keep in mind that the substance with the highest concentration is the solvent.

There are numerous varieties of solutions. A solute, for instance, could be a gas, a liquid, or a solid. Additionally, solvents can be solids, liquids, or gases.

The behavior of several types of solutions at the microscopic level is depicted in the following illustrations. You'll see that the solute particles are evenly spaced out among the solvent particles in each instance.

A solution is a homogeneous mixture of one or more solutes dissolved in a solvent. solvent: the substance during which a solute dissolves to produce a homogeneous mixture. solute: the substance that dissolves during a  solvent to produce a homogeneous mixture. The solute is the substance that is being dissolved, while the solvent is the dissolving medium. Solutions are often formed with many different types and forms of solutes and solvents.

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Answer:

83

Step-by-step explanation:

[tex] \frac{ - 332}{ - 4} = 83[/tex]

The expression using factoring is 4 * (33 + 57)

The expression is given as

(132 + 228)

Factor out 2 from the expression

So, we have

(132 + 228) = 2 * (66 + !14)

Factor out 2 from the expression

So, we have

(132 + 228) = 2 * 2 * (33 + 57)

This gives

(132 + 228) = 4 * (33 + 57)

Hence, the expression using factoring is 4 * (33 + 57)

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The value of the points in the graph is a (2,80).

According to the statement

We have to find that the points on the graph.

So, For this purpose, we know that the

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

From the given information:

f(x)=x^3+6x^2+17x+14​; slope of the tangent line=5

Then

f(x)=x^3+6x^2+17x+14

Now find the drivative then

f'(x)=3x^2+12x+17

Then slope of the tangent line=5

Now,

3x^2+12x+17 = 5

3x^2+12x+12 = 0

x^2+4x+4 = 0

Now solve the equation then

x^2+2x+2x+4 = 0

x(x+2) +2(x+2) = 0

(x+2) (x+2) = 0

Here the values of the x become -2,-2.

Then

When x = 2

f(x)=2^3+6(2)^2+17(2)+14

f(x)=8+24+34+14

f(x) = 80.

So, The value of the points in the graph is a (2,80).

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Answer:

x = 3.

Step-by-step explanation:

ADE and ABC are similar right isoceles triangles.

Step-by-step explanation:

12 / 3 = 12 / X

Answer: 12

Step-by-step explanation: f(-4)= 2-3(-4) which =2+12=14

The military drone must ascend 12250 from its position of 3500ft above sea level feet so that it is vertically in the middle of the plane and the submarine.

To solve this problem we need to understand the concept of sea-level. The sea-level is defined as the average height of all water bodies of the earth. Below sea level is effectively taken as negative length and above sea -level is taken as positive length.

Let us consider the drone will have to ascend x feet to be vertically in between the plane and the submarine.

The submarine is 3500 feet below the sea level.

The plane is 35000 feet above the sea level.

Now we know that the drone is at a height of 3500 feet above the sea level.

Total distance between the drone and the ship=35000-(-3500)=38500ft

Middle point of the two=38500/2 = 19250 feet from the plane

Height above sea level for the drone should be=35000-19250=15750 ft

height of the drone=3500ft

The drone should ascend=15750-3500=12250 feet

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Answer: [tex]\frac{7}{32}[/tex]

Step-by-step explanation:

You want your numbers to have a common denominator which you can get by doubling both sides of the second number ([tex]\frac{1}{16} = \frac{2}{32}[/tex]).

[tex]\frac{9}{32} - \frac{2}{32} \\= \frac{7}{32}[/tex]

The information translated to algebraic expression  is 12 - x

Algebraic expressions are simply known as expressions composed of variables, terms, factors, constants and coefficients.

They are also made up of arithmetic operations such as multiplication, division, addition, subtraction, bracket, etc

From the information given, we have;

Let 'x' be the number

Let 'x' be subtracted from 132

This can be expressed as;

12 - x

Thus, the information translated to algebraic expression  is 12 - x

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A) In one hour  Graham drove 33 3/4 miles

B) To drive one mile Grahman will take 4/127 hours

a) change into improper fractions

42 1/3 = 127/3

1 1/3 = 4/3

he takes 4/3 hours to drive 127/3 miles

in one hour he will drive 127/3 × 3/4 = 127/4 = 33 3/4 miles

So in 1 hour he will drive 33 3/4 miles

b) he covers 127/3 miles in 4/3 hours

to cover 1 mile he will take = 4/3 × 3/127 = 4/127 hours

Graham will take 4/127 hours to cover 1 mile.

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Answer:

I tried to solve I got the value of a drink but a popcorn's value comes in negative... Can you recheck it please.......

By solving a system of equations we conclude that they need to use 22 ounces of the 10% alloy and 33 ounces of the 20% alloy.

First, let's define the variables we will use to solve this problem:

We know that they want to get 55 ounces, then:

x + y = 55

And the concentration of these 55 ounces must be 16%, then we can write other equation:

0.1*x + 0.2*y = 0.16*55

Then we have a system of equations:

x + y = 55

0.1*x + 0.2*y = 0.16*55

Isolating x on the first equation we get:

x = 55 - y

Now we can replace that in the other equation so we get:

0.1*(55 - y) + 0.2*y = 0.16*55 = 8.8

Now we can solve this for y.

5.5 - 0.1*y + 0.2*y = 8.8

5.5 + 0.1*y = 8.8

y = (8.8 - 5.5)/0.1 = 33

Then the value of x is:

x = 55 - y = 55 - 33 = 22

We conclude that they need to use 22 ounces of the 10% alloy and 33 ounces of the 20% alloy.

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The number of watts will be 4700 watts to the nearest 100 watt.

It should be noted that 1 watt equals to 3.41 Btu per hour.

In this case, the air conditioner is rated at 16000 BTU per hour.

Therefore, the number of watt will be:

= 16000/3.41.

= 4692

= 4700 watts to the nearest 100 watt.

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the distance, d from the top of the platform to the  beach ball is equal to 10.29 m.

We are given that:

Height of the platform = 5 m

distance between bas of the platform and the beach = 9 m

We need to find the distance from the top of the platform to the beach ball.

We know that this distance d will be the hypotenuse of the triangle formed.

So, we have:

Perpendicular = 5 m

Base = 9 m

Hypotenuse = d

So, by using the Pythagoras theorem, we get that:

d² = 5² + 9²

d² = 25 + 81

d² = 106

d = √ 106

d = 10.29 m.

Therefore, we get that, the distance, d from the top of the platform to the  beach ball is equal to 10.29 m.

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The decimal form of the fraction 10 / 66 is 0.15.

Fractions represent the parts of a whole or collection of objects.  

In other words fractions are represented as a numerical value, which defines a part of a whole.

Fractions has a numerator and a denominator.

The numerator is at the top while the denominator is below.

A decimal is a number that consists of a whole and a fractional part.

Therefore, let's convert the fractions 10 / 66 to decimal.

Hence,

10 / 66 ÷ 2 / 2 = 5 / 33

Therefore,

5 / 33 = 0.15151515151 = 0.15

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70%

Given: 50 total, 20 red, 15 blue

20 + 15 = 35

35 ÷ 50 = .7

.7 • 100 = 70

70% are blue or red.

[tex] \eta \times \eta \times \eta = 60 \\ \eta {}^{3} = 60 \\ \eta = \sqrt[3]{60} \approx3.91487[/tex]

The expression 1-cotx/tanx-1 is cot x.

Given,

1-cotx/tanx-1

cot x = 1/tan x

1-cotx/tanx-1 = 1- (1/tan x) / tan x-1

                     = [(tan x -1 )/tan x ]/ [tan x -1]

                     = (tan x -1 )/ [tan x (tan x -1)]

                     =  1/tan x

                     = cot x

Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are examples of mathematical operators. For example, x + y is an expression in which x and y are terms separated by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which contain simply numbers, and algebraic expressions, which contain both numbers and variables.

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The order of expressions from the least to greatest is [tex]\sqrt{3}[/tex], [tex]\sqrt{pie}[/tex] and 2

In order to find the value of these given expressions, we will have to convert them into a standard form, therefore we will find the value of these expressions by removing the root and finding its actual value

Value of 2 will remain the same as it is already in standard form

Value of [tex]\sqrt{3}[/tex] in standard form = 1.732

Value of [tex]\sqrt{pie}[/tex] in standard form = [tex]\sqrt{3.1459}[/tex] = 1.77

No ordering these expressions we find that 2 is the greatest, followed by 1.77 and 1.732

Hence, the expressions from least to greatest is [tex]\sqrt{3}[/tex], [tex]\sqrt{pie}[/tex] and 2

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Answer:

X = 36.5

Z = 19

Angle RIG is 69

angle ZIM is 126.5

Step-by-step explanation:

angle AIZ and ZIP

x + 3x - 56 = 90

    4x - 56 = 90

            4x = 90 + 56

            4x/4 = 146/4

                x  = 36.5

Plugin the value of x in (3x -56)

      3x - 56

     (3(36.5) - 56)

     (109.5 - 56) =  53.5

       Angle AIZ = 53.5

Angle RIG is 4z + 7. Convert the letter x in (x + 2)  to Z and solve for z

4z + 7 + z + 2 = 90

         5z + 9 = 90

                5z = 90 - 9

                5z/5 = 81/5

                   z = 16.2

                        Z + 2

                      16.2 + 2 = 18.2

           Angle GIM is 18.2 degrees

  Plugin the the value of z into 4z + 7 for angle RIG

   4z + 7

   (4(16.2) + 7) = 71.8

 Angle RIG = 71.8 degrees

4.3659392

hope this helps

The area of ΔTUV, to the nearest square inch is given as 267 square inch

Given data

ΔTUV, = 24 inches, = 29 inches and ∠T=130°

let the Area of the triangle = A

let the two sides be a and b

let the given angle be β

A = a * b * sin β / 2

A = 24 * 29 * sin 130 / 2

A = 696 * 0.7660 / 2

A = 696 * 0.3830 = 266.583

A = 266.583 square inch

A = 267 square inch ( to the nearest square inch )

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