I now understand how to get y.. But how do I get x?

Answer:

9.81....

Step-by-step explanation:

x = 432/44

x = 9.81...

The circumference of the children's ball to the nearest centimeter is 52 centimeters.

If a regulation volleyball has a circumference of about 66 centimeters, solve for its radius using the formula for the circumference of a circle given by:

C = 2πr

66 centimeters = 2πr

r = 33/π centimeters

Then, solve for the surface area of this regulation volleyball using the formula given by:

A = 4πr^2

A = 4π(33/π centimeters)^2

A = 4356/π square centimeters

If the ratio of the surface area of that ball to the surface area of a children's ball is approximately 1.6 : 1, then

surface area of regulation volleyball : surface area of a children's ball = 1.6 : 1

surface area of a children's ball = 4356/π square centimeters/1.6

surface area of a children's ball = 2722.5/π square centimeters

If  the children's ball has a surface area of 2722.5/π square centimeters, solve for its radius using the formula for the surface area given by:

A = 4πr^2

2722.5/π square centimeters = 4πr^2

r = 26.0887907/π centimeters

Solving for the circumference:

C = 2πr

C = 2π(26.0887907/π centimeters)

C = 52.17758139 centimeters

Rounding off to the nearest centimeter.

C = 52 centimeters

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The reactants in the chemical equation C7H16 + O2 = CO2 + H2O have a total of 7 atoms in them.

The chemical formula of a compound indicates how many atoms are present in the substance.

The number of atoms of each element present in a molecule is noted in a chemical formula.

The answer to this query provides the following description of the chemical interaction between heptane and oxygen:

O2 + C7H16 = CO2 + H2O

Hexane's chemical composition reveals that the reactant side of the reaction has 7 carbon atoms.

Therefore, there are 7 atoms total in the reactants of the chemical equation C7H16 + O2 = CO2 + H2O.

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|x-5| + 7 = 13 is equal to x= -11 and x = 1.

[tex]|x-5|+7=13[/tex]

Subtract 7 from both sides

[tex]|x-5|+7-7=13-7[/tex]

Simplify

[tex]|x-5|=6[/tex]

Apply absolute rule: If [tex]$|u|=a, a > 0$[/tex] then [tex]$u=a$[/tex] or [tex]$u=-a$[/tex] [tex]$x-5=-6$[/tex] or [tex]$x-5=6$[/tex]

[tex]$$x-5=-6 \text { or } x-5=6$$[/tex]

[tex]$$x=-1 \text { or } x=11$$[/tex]

Making something simpler is making it less intricate or crowded. When you describe a complex mathematical idea to a youngster in words they can easily comprehend, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.

Making something simpler refers to making it simpler to accomplish or comprehend. Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers.

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Answer:   w > 50

This is because we are focusing on weights (w) that are larger than 50

We won't have an "or equal to" as part of this.

An inequality for the given scenario is;

⇒ w > 50

Here,

The given scenario is;

For safety, all dogs at a dog park who weigh, w, more than 50 pounds must play in Area 2.

We have to find the inequality.

What is Inequality?

An inequality compares two values, showing if one is less than, greater than.

Now,

Weight of all dogs = w

And, Weight of all dogs w is more than 50 pounds.

Hence, An inequality for the given scenario is;

⇒ w > 50

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The width of the message as shown in the image attached is 3 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the width of the message. The area of the postcard is 24 square inches, hence:

(b + 3)4 = 24

4b + 12 = 24

b = 3

The width of the message as shown in the image attached is 3 inches.

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The shortest length of fabric, in inches, that Kirk could use to make the tablecloth without putting any separate pieces of fabric together is 30 inches

Given data

diameter of the table = 3 feet

hang down dimension = 5 inches

sew down dimension = 1 inch

width of rectangular fabric = 60 inches

The question seeks for area of the table cloth, for a circular table area of a circle = pi * r^2

required radius of cloth

= radius of the table + hang down dimension + sew down dimension

= 3 feet / 2 + 5 inches + 1 inch

= 1.5 * 12 inches + 5 inches + 1 inch

= 18 + 5 + 1

= 24 inches

Area of required cloth

= pi * 24^2

= 1809.557 square inches

Area of fabric =  Area of required cloth

length * wide = 1809.557 square inches

length * 60 = 1809.557 square inches

length = 1809.557 / 60 square inches

length = 30.159 inches ≈ 30 inches

Therefore option H which is 30 inches is the answer

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Making a perpendicular bisector on the segment that gives the half length of AB

Given that,
here are 2 points in the plane. Explain how to construct a line segment that is half the length of AB is to explain.

A line can be defined by the shortest distance between two points is called as a line.

Here,
Two points are given on the plane,
Draw line segment joining these two points on the plane,
Now with help of a compass draw a perpendicular bisector on the line, that bisects the segment into two equal halfs.

Thus, making a perpendicular bisector on the segment that gives the half length of AB

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Answer:

a. [tex]y=38x[/tex].

Step-by-step explanation:

Let y represent distance in miles and x represent gallons of gas.    

a. First of all, we will find mileage of Ann's car by dividing total distance traveled by total fuel consumed.

Since Ann's can travels 38 miles per gallon, so distance covered by using x gallons on gas would be [tex]38x[/tex] .

Therefore, our required equation would be [tex]y=38x[/tex].

Answer:

314.0063694

Step-by-step explanation:

You will have to use the pythogoras. triple to solve the equation

Answer:

Step-by-step explanation:

the diagonal is the hypotenuse of the two triangles that form the rectangle (see figure) we solve with Pythagoras

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

a² = b²+ c²

a² = 250² + 190²

a² = 62500 + 36100

a² = 98600

a = √98600

a = 314 m

Answer:

23 dollars.

Step-by-step explanation:

She spent a total of 174 - 13 = 161 dollars.

So, the cost of each book = 161/7

= 23 dollars.

Answer:

2

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \large{\frac{5}{8}} \: \div \large{\frac{5}{16}} \\ \\ = \frac{5}{8} \times \frac{16}{5} \\ \\ = \green 2 \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Answer:

2

Step-by-step explanation:

(5/8) ÷ (5/16)

= (5*16) ÷ (8*5)

= 80 ÷ 40

= 2

Step-by-step explanation:

420x1800=756000

so 756k items in 30 minutes

Answer:

25

Step-by-step explanation:

180 - 25 = 155

180 - 155 = 25

By algebraic simplification, the expression [(3 · a · b²) / (5 · b²)] ÷ √[(9 · a²) / (100 · b²)] is equivalent to the expression 2 · b.

In this question we need to simplify the division of two expressions that comprises powers and square roots, the complete procedure requires the use of algebra properties:

The expression [(3 · a · b²) / (5 · b²)] ÷ √[(9 · a²) / (100 · b²)] is equivalent to 2 · b.

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The missing values of the table are a=7, b=18, c=15, d=13, e=42 and  f= 21

We can easily  complete the give table using simple addition and subtraction

            Monday   Tuesday    Wednesday    Total

Year 7       7               18                   13.               38

Year 8     14              15                    13                42

Total        21              33                   26               80

The correct question is 80 students visited the library

over three days. The two-way

table shows some information

about these students.

             Monday   Tuesday   Wednesday   Total

Year 7           a               b                    13.          38

Year 8         14               c                      d          e

Total            f              33                    26          80

Complete the table.

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Using proportions, the coordinates of the point C that partitions segment HE in the ratio of 2:3 are found according to the following equation:

C - H = 2/5(E - H).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have point C that partitions segment HE in the ratio of 2:3, hence it is 2/5 of the way from H to E, and the rule is given by:

C - H = 2/5(E - H).

Then:

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Answer:

graph B would be the answer.

Step-by-step explanation:

-

The density of the material is  0.4 kg/cubic cm.

Given that:-

Height of the cylinder = 54.5 mm

Diameter of the cylinder = 53.0 mm

Weight of the cylinder = 1 kg

We have to find the density of the cylinder.

We know that,

Density  = mass/volume

Here, mass = 1 kg

We know that,

Volume of a cylinder = [tex]\frac{1}{3} \pi r^2 h[/tex]

Where,

r is the radius of the cylinder, and

h is the height of the cylinder

Here, h = 54.5 mm, and

r = 53/2 = 26.5 mm

Hence,

Volume of cylinder = (1/3)*(22/7)*(26.5)(26.5)*54.5 ≈ 2566.088 ≈ 2566 cubic mm. = 2566/(10*10*10) cubic cm = 2.566 cubic cm

Density of cylinder = 1kg/2.566 cubic cm  ≈ 0.3897  ≈ 0.4 kg/cubic cm.

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How do you find equivalent expressions?

Image result for what is equivalent to (5x/6)

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Answer: -50

Step-by-step explanation:

2a-2a+5c

2(-3)-2(-3)(-4)+5(-4)=

-6-24-20=-50

Answer:

x=3/5y-9/5

Step-by-step explanation:

Answer:

5x=7y-4y-9

5x=9-3y

[tex]\frac{5x}{5}[/tex]=[tex]\frac{9-3y}{5}[/tex]

[tex]x=\frac{9-3y}{5}[/tex]

Step-by-step explanation:

f(x) = 5|x - 1| - 5

f(x) will be positive that means >= 0, if

5|x - 1| - 5 >= 0

5|x - 1| >= 5

|x - 1| >= 1

that will be true for x <= 0 or x >= 2

f(x) will be negative for the other cases.

so, 0 < x < 2

f(x) is increasing in

[1, infinity)

the value "1" is for sure included, as it starts the increasing part.

f(x) is decreasing in

(-infinity, 1]

"1" is again included, because it ends the decreasing part.

end behavior means for x going to infinity and -infinity : in both cases f(x) goes to infinity.

Answer:

x [tex]\leq[/tex] 28

Step-by-step explanation:

lets say you chose 27 . 27 - 13 = 14 . thats not enough . but everything 28 and above would work for x . so x would be equal to or greater than 28 . hope this helps :)

If Mrs. Chavez put $8,000.00 in her IRA savings account that offers 8.62% interest compounded annually, then she will earn $3136 interest at the end of the 4 years

Total invested amount = $8000

Interest rate = 8.62%

The interest is compounded annually

Time period = 4 years

We know

[tex]A=P(1+\frac{r}{100})^{t}[/tex]

Where,

A = Final amount

P = Principal

r = Interest rate

t = Time period

Substitute the values in the equation

A= [tex]8000(1+\frac{8.62}{100})^{4}[/tex]

A= $11136

Compounded interest = 11136-8000

=$3136

Hence, If Mrs. Chavez put $8,000.00 in her IRA savings account that offers 8.62% interest compounded annually, then she will earn $3136 interest at the end of the 4 years

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Power of a number 3⁶⁰ is the simplest form of math equation.

What is the power of a number?

What are power and exponent?

3^2*5*2*3 = 3⁶⁰

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The solution of the differential equation as given in the task content is; ln(5p +a)/5 + C = t

It follows from the task content that the solution of the differential equation is required.

Given;

dp/dt=5p +a

To find; solution to the differential equation;

By variable separation; the resulting equation is;

dp/(5p +a) = dt

By integrating both sides of the equation; we have;

ln(5p +a)/5 + C = t

Ultimately, although both sides of the equation integrated yield a constant of integration as the integral is indefinite, the two constants have been combined into constant, C as in the equation above.

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The total number of houses sold in January by Coventry Estates are 18.

As per the given question;

Let the total sales of the houses in January be 'x'.

In February they sold twice as many houses as in January.

February = 2x.

In March they sold 10 more houses than in February.

March  = February + 10

March  = 2x + 10

In April they sold half as many houses as in March.

April = March/2

April = (2x + 10)/2 = x + 5

The total sold houses = 123.

Add all the sold houses;

x + 2x + 2x + 10 + x + 5 = 123

6x + 15 = 123

On simplification;

x = 18

Thus, the total number of houses sold in January by Coventry Estates are 18.

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Answer: 816

Step-by-step explanation:

h(3) = 1248 - 160(3) + 16(3)

h(3)= 1248 - 480 + 48

h(3)= 816

Answer:

after 10days savannah will have 31 pennies

Step-by-step explanation:

arithmetic progression (AP)

(a1) started with, 5 pennies

common difference (d), 3 pennies

formula: Tn = a + (n-1)d

after 10 days, T10 = 5 + (10- 1)(3)

T10 =5 + 27

T10= 31

therefore after ten days savannah has 31 pennies