A bicycle-sharing station on Main Street has 5 times as many bicycles as a station on Park Avenue. There are 24 bicycles at the two stations. How many bicycles are at the Main Street station?​

Answer: 24/25

The answer to the question is 0.96, 0.96 in simplest form is 24/25

Usando su concepto, se encuentra que hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.

Una probabilidad viene dada por el número de resultados deseados dividido por el número de resultados totales.

En este problema, hay que:

Asi:

p = 3/11 x 2/10 = 3/55

Hay una probabilidad de 3/55 de extraer una A seguida de una M de las letras de la palabra MATEMÁTICAS.

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The area of the figure is 22.785 square yards

The figure is a triangle, and it has the following properties

Base = 9.3 yards

Height = 4.9 yards

The area of the figure is calculated as

Area  = 0.5 * Base * Height

So, we have

Area = 0.5 * 9.3 * 4.9

Evaluate

Area = 22.785

Hence, the area of the figure is 22.785 square yards

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The order of the numbers from greatest to smallest is the cube root of 37, 16 over 5, negative pi, and negative four and two thirds

The numbers we are to order from the greatest to the least are ∛37, 16/5, -4 2/3, -22/7. To ease the problem, all the numbers should be converted to decimal form.

A decimal is a number that consists of integers and non-integers. The integers are separated from the non-integers by a decimal point. An example of a decimal number is 1.23.

When converted to decimals, the number become:

∛37 = 3.33

16/5 = 3.2

-4 2/3 = -14/3 = -4.67

-22/7 = -3.14

The further away a positive number is from zero, the greater the number. The closer a negative number is to zero, the greater the number.

3.33, 3.2, -3.14, -4.67

∛37, 16/5, - 22/7, -4 2/3

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Answer:

The person above was correct! gl on ur exam :))

Answer:

I put the answer in the screenshot i took

Step-by-step explanation:

-lukelaws

Answer:

40

Step-by-step explanation:

another answer to something elsse it might help Solve for x x-4=10. x − 4 = 10 x - 4 = 10. Add 4 4 to both sides of the equation. x = 10+ 4 x = 10 + 4. Add 10 10 and 4 4. x = 14 x = 14.

Answer:X=40

Step-by-step explanation:

The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].

Given that a inequality y={x ; 2<x≤7} and asked to find the solution set for the given inequality and plot graph according to that

⇒ y={x ; 2<x≤7} i.e domain=(2,7].

⇒y=x ∀ x ∈ (2,7]

The solution of the given inequality is x ∈ (2,7].

Therefore,The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].

Graph: image attached

y=x  ∀ x ∈ (2,7] is plotted {open at (2,0) and close at (7,0)}              

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Answer:

Step-by-step explanation:4

Step-by-step explanation:

We do the ones that are in parenthesis first. Find out the exponent. 2 to the power of two is 4. 3-4=-1. Then we would add 5. 5+-1 would result of 4.

The scale used on the map is 1 centimeter to 12.5 kilometers.

When we do a scale drawing of something in scale (like a map, that represents a given location) the dimensions suffer a change of scale.

This means that each unit on the scale drawing not represents the same unit on the original thing.

On this case we have a map where a actual distance of 50 kilometers is represented by a distance of 4cm (this means that each 4cm in the map are equivalent to 50 kilometers in the actual place).

Then the scale will be in cm to km, and to get the scale we can write:

4cm = 50km

Dividing both sides by 4 we get:

1cm = 50km/4 = 12.5 km

Then we conclude that the scale used for the map is 1 centimeter to 12.5 kilometers.

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The solution to the inequality is x ≥ 3

Given the inequality;

– 7x + 3 ≥ – 18

To determine the solution , we take the following steps;

collect like terms

-7x ≥ - 18 - 3

Find the difference

- 7x ≥ - 21

Make 'x' the subject of the formula by dividing both sides by its coefficient, - 7

We have;

-7x / -7 ≥ - 21/ -7

x ≥ 3

Thus, the solution to the inequality is x ≥ 3

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Joe could arrange the eraser in an array by placing 5 rows of 3 erasers each. The multiplication fact for this representation in an array is given by 5 × 3 .

A group of numbers or objects that will follow a predetermined pattern are referred to as an array in mathematics.

Here Joe has 15 eraser and he placed them on his rectangular bench.

Assuming that the erasers are all uniform , Joe placed them on the bench in an array of 5 rows each containing 3 erasers.

The multiplication fact for this representation in an array is given by

5 × 3 .

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Answer: the ratio is 1.13

Step-by-step explanation:

The ratio of non-black sedans to black sedans is 40/31, as of the given condition.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,

The total number of sedans in the parking lot is,
496 black sedans + 640 non-black sedans = 1136 sedans.

The ratio of non-black sedans to black sedans can be found by dividing the number of non-black sedans by the number of black sedans:

Ratio = 640 non-black sedans / 496 black sedans
Ratio  = 640/496
Ratio = 40/31

So, the ratio of non-black sedans to black sedans is 40/31.

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Answer:

1 : 5

Step-by-step explanation:

Circles + Triangles = Total shapes

8 + 2 = 10

Number of triangles : Total shapes

2 : 10

Both can be divided(simplified) by 2

= 1 : 5

Hope this helped! ^^

Answer:

yes it is 604892÷4=151,223

The percentage increase is the ratio of value increased to the original value and multiplied by 100.

The percentage increase in his hourly wage between year 1 and year 2 is 15.61%.

Option A is the correct answer.

The percentage increase is the ratio of value increased to the original value and multiplied by 100.

It is expressed in percentage.

If there is an increase in the value of anything, then there is an increase in percentage.

We have,

Wage in the first year per hour = $8.65

Wage in the second year per hour = $10

The percentage increase in hourly wage:

= [ (10 - 8.65) / 8.65 ] x 100

= ( 1.35 / 8.65 ) x 100

= 15.6069 %

= 15.61 %

Thus the percentage increase in his hourly wage between year 1 and year 2 is 15.61%.

Option A is the correct answer.

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she could have scored the 10 points in 302400 ways.

The given parameters are

n= total points =10

r1 =one-point free throw = 1

r2 = two-point field goals = 2

r3 =  three-point field goals = 3

The number of ways (k) she could have scored the points is:

k=(n!)/(r1!×r2!×r3!)

The factorial function is a mathematical formula represented by an exclamation mark "!".

k= 10!/(1!×2!×3!)

k= 3628800/(1×2×6)

k= 302400

so.. she could have scored the 10 points in 302400 ways.

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Jose chooses variety between 49 and 95 that's a multiple of 2 , 6, and 8. is 72

By victimization the prime factorization methodology we are able to resolve the lowest common multiple of the given numbers. To calculate the lowest common multiple of 2 numbers victimization the prime factorization methodology, we have a tendency to use the steps given below:

Step 1: notice the prime factors of the given numbers by recurrent division methodology.

Prime factorization of 2 is given by

2 = 2 × 1

Prime factorization of 6 is is given by

6 = 2 × 3

Prime factorization of 8 is given by

8 = 2 × 2 × 2

Step 2: Write the numbers in their exponent type. notice the merchandise of solely those prime factors that have the best power.

Prime factorization of 2 is given by

2 = 2

Prime factorization of 6 is is given by

6 = 2 × 3

Prime factorization of 8 is given by

8 = 2³

Step 3: the merchandise of those factors with the best powers is that the lowest common multiple of the given numbers.

LCM will be =  2 × 3 × 2²

LCM of 2,6 and 8 = 24

Multiples of 24 between 49 and 95 is 72

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Answer:When you draft a budget, you should include an _________________. This is extra money set aside to be used for unpredictable expenses, such as medical bills and vehicle repairs

Step-by-step explanation:

The length of the arc is calculated for the given semicircle as 15.7 units.

For, the given question.

The radius of the semicircle is 5 units.

The length of the arc of semicircle is equal to the perimeter of the semicircle.

The formula for perimeter;

P = πr

where, r is the radius and π = 3.14.

Put the values in the formula.

Perimeter = 3.14×5

Perimeter = 15.7 units.

Therefore, the length of the arc of the semicircle is 15.7 units.

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To address the issue, we must understand what the converse of a statement implies. The statement's opposite is true if a=bc and a/b=c.

By switching the condition and the result, a conditional statement can be made into its opposite. The converse of a statement is q—->p if the statement is p—->q. In the provided question, the condition is stated as a/b=c, and the answer is a=bc if the condition holds.

We must create the result, the condition, and the condition will be the new result in order to discover the opposite of this assertion. As a result, a=bc will be the condition for converse, and a/b=c will be the outcome if the condition is satisfied.

As a result, if a=bc then a/b=c., the supplied sentence has the opposite meaning.

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The solution to each division problem is;

1) 4

2) 2

3) 3

4) 3

5) 3

1) We are given the expression;

(5 * 3) * ___ = 60

To get the blank answer, we will divide both sides by (5 * 3) to get;

60/(5 * 3) = 4

2) We are given the expression;

4 *( ___ * 9) = 72

To get the blank answer, we will divide both sides by (4 * 9) to get;

72/(4 * 9) = 2

3) We are given the expression;

7 * (2 * ___) = 42

To get the blank answer, we will divide both sides by (7 * 2) to get;

42/(7 * 2) = 3

4) We are given the expression;

(___ * 5) * 5 = 75

To get the blank answer, we will divide both sides by (5 * 5) to get;

75/(5 * 5) = 3

5) We are given the expression;

(3 * 3) * ___ = 27

To get the blank answer, we will divide both sides by (3 * 3) to get;

27/(3 * 3) = 3

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The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.

Given Line : 5x - y = 1

slope of line = [tex]\frac{-5}{-1}[/tex] = 5

product of slopes of two perpendicular lines is - 1.

m₁ × 5 = -1

slope of required line m₁ = [tex]\frac{-1}{5}[/tex]

Let the equation of the required line be

y = mx + c where m is slope

y = [tex]\frac{-x}{5}[/tex] + c

Area of the triangle formed by a line with intercepts a,b = [tex]\frac{1}{2} ab[/tex]

Here, x-intercept = 5c

y-intercept = c

Area of triangle = [tex]\frac{1}{2} (5c)(c)[/tex]

                          =[tex]\frac{5c^{2} }{2}[/tex]

Given area = 5

⇒ [tex]\frac{5c^{2} }{2}[/tex] = 5

⇒ c² = 2

⇒ c = ±√2

Hence, The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.

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Answer:

x-7

Step-by-step explanation:

Whatever her current age is, she was 7 years younger 7 years ago. Because her current age is undefined, it must remain an equation.

The rate of discharge is 1,54,550 cubic meter/sec.

This is the problem related to conversion of units. We need to convert cubic feet into cubic meter here.

Also we know that 1 foot = 0.305 meter.

The rate of discharge of water is given as 5,500,000 cubic feet per second.

So, now to convert to cubic meter we need to divide the given rate by cube of 0.305.

Now discharge in cubic meter per second = [tex]5,500,000*(0.305)^{3}[/tex]

                                                                  = [tex]5,500,000*0.028[/tex]

                                                                  = 1,54,550 cubic meter/sec

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(A) The expression to represent the elevation level of city D, in feet will be :  [tex]D = \frac{1}{4} * [C][/tex]    
(B) The elevation of city D will be -6 feet. The negative here shows that city D is below sea level.

In the question, it is given that city A is 96 feet below sea level, city C is 24 feet below sea level, and the elevation of city D is 1 over 4th of the elevation of C. Since, City A & C are both below sea level their elevation will be negative. So, by these we get elevations:

For City A,  A = -96

      City C,  C = -24

      City D,  [tex]D = \frac{1}{4} *[C][/tex]      ----> Equation (1)

By Equation (1) we get the representation of elevation for City D.

Now, Calculating the elevation of city D, we will put the value of city C in equation (1).

        =>   [tex]D = \frac{1}{4} *[-24][/tex]

        =>   [tex]D = -6\\[/tex]

The negative sign here shows that the elevation is below sea level for city D.

Hence, the expression representing the elevation of city D will be [tex]D = \frac{1}{4} * [C][/tex] and, the elevation of city D will be -6.

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Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or [tex]\frac{-1}{10}[/tex] in the fraction form

Given that the between 16 and 20 minutes driving times to the campus is uniformly distributed, the mean driving time is 18 minutes

The correct option is therefore;

The time it takes to drive from the apartment to the campus = Between 16 and 20 minutes

The mean of a continuous uniform distribution between two boundaries, a and b is given by the formula;

[tex] \mu = \frac{a+b}{2} [/tex]

The mean amount of time it takes to drive to campus is therefore;

[tex] \mu = \mathbf{\frac{16+20}{2}} = 18 [/tex]

The correct mean driving time is the option;

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