Setup an equation and solve.
1.The square of a number equals nine times that number. Find the number​

Answer:

w=15

Step-by-step explanation:

4w+13×5 = 25×5

4w =125-65

4w =60

w=15

Answer:

70-14=56     168-56=112

Step-by-step explanation:

Answer: 110.71cm^2

Step-by-step explanation:Area of the shaded region is area if the whole rectangle subtracted from area of the semicircle (of diameter 9cm)

Answer:

-4

Step-by-step explanation:

-4/9 (27-18) =

Do the parentheses first.

= -4/9 (9)

= -36/9

= -4

Explanation:

\(\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}\)

**In this case, we want NON-NEGATIVE terms.

I am joyous to assist you at any time.

Answer:

A. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent.

Step-by-step explanation:

Based on Godel's second incompleteness theorem, a system is considered consistent only when the far-right column of the augmented matrix is not a pivot column.

However, given that every column of the coefficient matrix is a pivot column, then there are no top coefficients in the far-right column of the augmented matrix.

Hence, there is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent.

Answer:

The answer is "Study your textbook."

Step-by-step explanation:

Studying the textbook usually helps.

Answer:

100$

Step-by-step explanation:

HELP ME I NEED HELPP I NEED HELP TO GO TO THE FAIRRR WITH MY FAMILY IF I FAIL I WONT GOO :( AND ALSO IM GIVING 100 POINTS Elliot drew this model to solve the problem  3 4 but then realized he made a mistake.

Part 1- What addition problem is represented by Elliot’s model?

Part 2- Draw a correct model for the addition problem  3 4.

Part 2- Explain what each part of your model represents and use the model to find the sum. The expression shown can be used to calculate the amount of money in dollars a grocery store customer

should receive in change when paying with $100.

100 (28 3 2(3) 3(5) 3)     

Part 1- What part of the equation represents the amount of money that is spent? Justify your answer.

Part 2- What is the total amount spent?

Part 3- What amount of change should the customer receive? Four points are labeled on this number line.

Part 1- What is the value of each point on the number line?

Part 2- Which point represents the value of

1

2

2

 ?

Part 3- Which point represents the value of

1

2

2

?

Answer: 32

Step-by-step explanation:

Multiply 8 by 4.

If one cup is 8 ounces, I assume they have the same value.

Answer:

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

Given  number is 71830.

The last part:  830 is same on both lines.

We need to represent 71000 in different way, instead of 7 ten thousands and 1 thousands we have 6 ten thousands then we need:

It is 11 thousands.

Answer:

11,000 (or) 11 thousands

Step-by-step explanation:

Now we have to,

→ find the missing number.

→ Let the number be x.

Forming the equation,

→ 60,000 + x + 800 + 30 = 71,830

Then the value of x will be,

→ 60,000 + x + 800 + 30 = 71,830

→ x + 60,830 = 71,830

→ x = 71,830 - 60,830

→ [ x = 11,000 ]

Hence, the value of x is 11,000.

In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles

The distance = bicycle 6 miles

number of hours =3/5 of an hour

then the rate = 6/ (3/5)

Then we can calculate the number of miles with the 6milesi n 3/5 hours  as;

= (6 * 5/3 )

=30/3

=10

Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs

=10 * 3 hours

= 30 miles

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Answer:

the answer is b. I need more words to submit this

The system of inequalities can be written as:

40x + 27.5y ≤ 150

33x + 44y ≤ 166

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal= ≥

We have,
Trailer:

Maximum weight = 150 pounds

Volume = 166 cubic feet

Microwave oven:

Number of microwave ovens = x

Weight = 40 pounds

Volume = 33 cubic feet

Printer:

Number of printers = y

Weight = 27.5 pounds

Volume = 44 cubic feet

The system of inequalitiies can be written as:

40x + 27.5y ≤ 150

33x + 44y ≤ 166

Thus,

The system of inequalities can be written as:

40x + 27.5y ≤ 150

33x + 44y ≤ 166

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Mean of the set of numbers = 23

Median of the set of numbers = 23

Mode of the set of numbers = 16, 19, 23, 26, 31

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Given numbers,

26, 31, 19, 23, 16

Putting in Ascending order

16, 19, 23, 26, 31

No. of elements N = 5

Mean = (26 + 31 + 19 + 23 + 16)/5

Mean = 115/5

Mean = 23

Since N = 5 (Odd)

Median = (N+1)/2th term

            = (5+1)/2th term

            = 6/2th term

            = 3rd term

            = 23

Every element has same frequency,

Mode = 16, 19, 23, 26, 31

Hence, Mean = 23, Median = 23 and Mode = 16, 19, 23, 26, 31

of the set of the numbers.

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A triangular prism is a three-dimensional geometric shape that consists of two triangular bases and three rectangular faces connecting them. It is a polyhedron with six faces, nine edges, and six vertices.

The two triangular bases of a triangular prism are congruent and parallel to each other. The rectangular faces are perpendicular to the triangular bases, and their lateral edges connect the corresponding vertices of the triangular bases.

The triangular bases are identical and parallel to each other. Each base has three vertices, three edges, and one face.There are three rectangular lateral faces connecting the corresponding vertices of the triangular bases. Each lateral face has two edges and one face.

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Answer:

Option A

Step-by-step explanation:

Option A is an arithmetic sequence.

Each week, the salary goes up by a fixed $50.

To verify this, subtract any two consecutive weeks' salaries.

For example: $250 - $200 = $50; $350 - $300 = $50, etc.

The common difference in 50.

We have an arithmetic sequence with 20 terms. The first term is $200. We need to find the sum of the 20 terms.

The sum of an arithmetic sequence is given by the formula:

\( S_n = \dfrac{n}{2} \times [2a_1 + (n - 1)d] \)

S_n = sum of first n terms

n = number of terms = 20

a_1 = first term = 200

d = common difference = 50

\( S_{20} = \dfrac{20}{2} \times [2(200) + (20 - 1)(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 13500 \)

Option A gives a total of $13,500 for the first 20 weeks.

Option B is a geometric sequence in which the salary goes up by 10% each week. To verify this, divide any salary by the previous week's salary.

For example: $220/$200 = 1.10; $266.20/$242 = 1.10; in each case, each salary is 1.1 times the previous week's salary which means a 10% increase. The common ratio of the geometric sequence is 1.1.

We need the formula for the sum of the first n terms of a geometric sequence.

\( S_n = \dfrac{a_1(1 - r^n)}{1 - r} \)

\( S_{20} = \dfrac{200(1 - 1.1^{20})}{1 - 1.1} \)

\( S_{20} = \dfrac{200(1 - 6.7274999)}{-0.1} \)

\( S_{20} = 11455 \)

Option B gives a total of $11,455 for the first 20 weeks.

Answer: Option A

Answer:

well 2 times three is 5 so then you would end up with

18 divided by 5

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

5-2

then 18 divided by 5 is 3.6 so then you have

3.6

---------

5-2

and five minus 2 is three

3.6

-----

3

and 3.6 divided by three is 1.2

YOUR ANSWER IS 1.2 ;)

Step-by-step explanation:

The simplified sum is 191/30.In mixed number form, this is 6 and 11/30.3 2/3 + 2 7/10 equals 6 and 11/30.

To add the mixed numbers 3 2/3 and 2 7/10, we can follow these steps:First, convert both mixed numbers into improper fractions.

3 2/3 = (3 * 3 + 2)/3 = 11/3

2 7/10 = (2 * 10 + 7)/10 = 27/10

Now, we have 11/3 + 27/10.

To find a common denominator, we multiply the denominators: 3 * 10 = 30.Rewriting the fractions with the common denominator, we have 110/30 + 81/30.

Adding the numerators, we get 110 + 81 = 191.

The sum is 191/30.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.

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We have to calculate the surface of the cylinder.

We can list all the surfaces of the cylinder:

0. A top face that is a circle with radius r = 4 cm.

1. A base, which is equivalent to the top face.

2. A lateral face, that when developed is a rectangle of height h = 5 cm and width equal to the circumference of the base.

Then, we can calculate the surface area as the sum of these three areas:

The area is 52π cm²

Answer:

(E) square

Step-by-step explanation:

because it's all side's are equal

A, B, C, D, E, F

A square is all of them :D

Looking at the image, the diameter of the sphere is equal to 6 ft.

Since the radius is half the diameter, the radius is equal to 3 ft.

Now, using r = 3 in the volume formula, we have:

Therefore the sphere volume is 108 ft³.

The hospital can get 4.15 milligrams from these three companies.

A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.

Here, we know that

Company A's supply of medicine = 1.7 mg

also, company A's supply = 2( B's supply - C's supply)

⇒ 1.7 = 2( B - C)

⇒ 1.7 = 2B - 2C .... (1)

Moreover, we are given that

A's supply = C's supply + 0.9

⇒ 1.7 = C + 0.9

⇒ 1.7 - 0.9 = C

⇒ 0.8 = C

Now, substituting the value of C in (1), we get,

1.7 = 2B - 2(0.8)

1.7 = 2B - 1.6

1.7 + 1.6 = 2B

⇒ B = 3.3/2

B = 1.65

Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg

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Answer:

2,400

Step-by-step explanation:

57,600 divide by 12 = 4,800

semimonthly means twice a month. so 4,800 divided by 2 = 2,400

Answer:

A sports coach bought 2 bats and 3 packs of tennis balls with 4 balls each. If one bat and one ball are of the same price, and he payed $990.50, write the equation for this

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The solution set is {2, 42} & the extraneous root is 42

If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.

Given equation is,

\(2+\sqrt{2x-3}=\sqrt{x+7}\)

Squaring both sides we get,

\(2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}\)

⇒ \(4+4\sqrt{2x-3} +2x-3=x+7\\\)

⇒ \(4\sqrt{2x-3} =6-x\)

Again, squaring both sides we get,

⇒ \((4\sqrt{2x-3}) ^{2} =(6-x)^{2}\)

⇒ \(16(2x-3)=6^{2} -12x+x^{2}\)

⇒ \(32x-48=36-12x+x^{2}\)

⇒ \(x^{2} -44x+84=0\)

⇒ \(x^{2} -42x-2x+84=0\)

⇒ \((x-42)(x-2)=0\)

So, x = 2 & 42

Here extraneous root is 42.

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Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer: -3 - 1 = -4

Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.

Answer:

you should have studied instead of going to a wed site

Step-by-step explanation:

many people can give u a wrong answer

Answer:

1. x=25/12

2. x=-5

Step-by-step explanation:

Answer:

b or b^1

Step-by-step explanation:

With dividing, you just subtract the exponents if they have the same whole number. Since the common whole number is "b", we can do 7-6 which is 1. So we would end up with b^1 which then anything to the first power equals itself, so we can simplify even more to just simply b