Joe ran 400 meters in 1.5 minutes and 800 meters in 3 minutes. Is there a proportional relationship between number of meters Joe ran the number of minutes he ran?

Answer: $140

In the ratio 2:3, 2 is the smaller number. 350 is the total so lets find the total in the ratio as well, 2+3 which is 5. Now 2 is the smaller share or number so lets use proportion to find it.

Let's think the smaller share as, " x "

x/350 = 2/5

x = 2/5 * 350

x = 2 * 70

x = 140

The smaller share is $140

Brainliest pweaseee if the answer is correct and clear! <3 ~ ~ ~ ~ ~ ~ ~

If $350 was shared in the ratio 2:3 , the smaller share is?

The smaller share is $140

Let the shares be 2x and 3x.

=> 2x + 3x = 350

=> 5x = 350

=> x = 350/5

=> x = 70

Answer:56, 57, 58

Step-by-step explanation:

X to the first integer they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 171

(X) + (X + 1) + (X + 2) = 171

you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side.

X + X + 1 + X + 2 = 171

3X + 3 = 171

3X + 3 - 3 = 171 - 3

3X = 168

3X/3 = 168/3

X = 56

the second number is 56 + 1 and the third number is 56 + 2. Therefore, three consecutive integers that add up to 171 are 56, 57, and 58

Answer:

The three options that result in a difference of squares are:

(x minus y)(x plus y)

(6 minus y)(6 plus y)

(64 y squared + x squared)(64 y squared - x squared)

Answer:

C

Step-by-step explanation:

\( \frac{30}{5} = \frac{20}{m} \\ 30m = 20(5) \\ \frac{30m}{30} = \frac{100}{30} \\ m = \frac{10}{3} or \: 3.333\)

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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\(Hello\) \(There!\)

Let's do this step-by-step explanation!

\(\frac{2}{3}\) × \(7 \frac{2}{6}\)

Convert mixed numbers to improper fractions: \(7 \frac{2}{6} =\frac{44}{6}\)

\(=\frac{2}{3}\) × \(\frac{44}{6}\)

Cancel: \(\frac{44}{6} :\frac{22}{3}\)

\(=\frac{2}{3}\) × \(\frac{22}{3}\)

Apply the fraction rule:

\(2\) × \(22\)

\(3\) × \(3\)

Mutiply the numbers: \(2\) × \(22\) \(=44\)

\(44\)

-----

\(3\) × \(3\)

Mutiply  the numbers: \(3\) × \(3=9\)

\(=\frac{44}{9}\)

Convert the fractions into mixed numbers: \(=\frac{44}{9} = 4\frac{8}{9}\)

\(=4\frac{8}{9}\)

Answer:

\(4\frac{8}{9}\)

Hopefully, this helps you!!

\(SokkaBanned\)

A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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The height of the triangle is, 22 units.

WE know that triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that the area of a triangle is 154 square inches. The base is 14 inches.

Now, We get;

Base = 14 units

Height =h units

We know that;

Area of triangle = 1/2 x base x height

                 154       = 1/2 x 14 x h

              h = 154 / 7

              h = 22

Thus, The height is, 22 units.

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Answer:

x=1/3

Step-by-step explanation:

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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No, 42,497,365 is not divisible by 6.

Hope it helps you! :)

\(GraceRosalia\)

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

infinite Solutions

Step-by-step explanation:

12x+1 = 12x+3-2

12+1 = 12x+1

The equation is same on both sides, so x can be anything.

Answer:

infinite solutions

Step-by-step explanation:

12x+1=3(4x+1)-2​

Distribute

12x+1 = 12x+3 -2

Combine like terms

12x+1 = 12x+1

Subtract 12x from each side

12x+1-12x = 12x+1-12x

1 =1

Since this always true, there are infinite solutions

Answer:

Step-by-step explanation:

Slope= y2-y1/x2-x1

7- -11=18

-20 - -8= -12

Slope= 18/-12

Answer:

x = - 5 , x = 7

Step-by-step explanation:

to find the zeros, let y = 0 , that is

x² - 2x - 35 = 0

consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

the factors are - 7 and + 5 , since

- 7 × + 5 = - 35 and - 7 + 5 = - 2 , then

x² - 2x - 35 = (x - 7)(x + 5) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 7 = 0 ⇒ x = 7

Answer: $14 for 1 ticket

Step-by-step explanation: 84 divided by 6 is 14. hope this helps

It will read 6:00pm on -2 time zone.

Answer:

15 smukeroos

Step-by-step explanation:

The cost of an entrance ticket on the trip to Spring Shot trampoline park is equal to $ \(16\frac{1}{2}\).

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

It is given that the total cost of trip for Lorenzo and his friends is $68.

Let's assume the cost of the entrance ticket be x.

The cost of entrance ticket for all of them = 4x

The fee added to entrance ticket is $2.

So , the algebraic expression can be written as :

2 + 4x = 68

reordering the like terms :

4x = 68 - 2

4x = 66

Dividing by 2 on both sides :

2x = 33

or

x = \(\frac{33}{2}\)

or

x = \(16\frac{1}{2}\)

Therefore , the cost of an entrance ticket on the trip to Spring Shot trampoline park is equal to $ \(16\frac{1}{2}\).

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Answer:

|x+1| = x - 1   has no solution.

Step-by-step explanation:

One interpretation of |x - a| is “the distance between the numbers x and a. So |x - b| = c means that the distance between x and b is equal to c . For this to have any solutions, we need c >= 0. When c >0 there will be exactly two solutions, one to the left of b and one to the right of b. When c = 0, the solution is unique: x = b. So, now you should be able to select the only values for b and c that produce the desired set of solutions.

Answer:

volume of sphere =4/3×πr³=4/3×π×r³

Step-by-step explanation:

hope it is helpful to you

Answer:

plot a point at y-intercept

Step-by-step explanation:

y=-3 is y-intercept

hope this helps :)

While the new helmets decrease the probability of injury resulting from a scooter accident, but they also incentivize individuals to ride more recklessly, which could increase the number of scooter collisions and therefore injuries to renters.

The reason for the above statement is based on the concept of risk compensation. When the perceived risk of an activity is reduced, individuals may engage in more risky behavior. For example, if individuals believe that wearing a helmet makes them safer while riding a scooter, they may feel less concerned about the potential consequences of riding recklessly, leading to an increase in the number of accidents. On the other hand, the helmet does decrease the probability of injury in the event of a crash, but an increase in the number of crashes could lead to an overall increase in the number of injuries, offsetting the protective effect of the helmets. Therefore, the net impact of the new helmets on the number of scooter injuries is unclear, and further study is needed to determine their overall effect.

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Answer:

x = 6

Step-by-step explanation:

First, we need to cross multiply on both sides, which gives us:

9 * (5x - 6) = 27 * (2 + x)

45x - 54 = 54 + 27x

Now, we want to isolate x on either side.

We can substract 54 from both sides:

(45x - 54 = 54 + 27x) - 54

45x - 108 = 27x

We then subtract 45 from both sides:

(45x - 108 = 27x) - 45

-108 = -18x

Finally, we divide both sides by -18:

(-108 = -18x) / -18

6 = x

Answer:wheres the pic

Step-by-step explanation:

No pic, no answer (sorry)

Answer:

Χ<5

Step-by-step explanation:

<__________________0__

-4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6

Sorry I can't put the circle and the arrow on the line. I hope you get the idea.

All the numbers to the left of +5 are included as numbers that x could be.

Answer:

(-6x -3y ) -x-y

-6x-x-3y-y

5x +2y