The sum of three consecutive odd numbers is 111. What is the smallest of the three numbers? (Use 8 steps to success)

Answer:

150.75 cm

Step-by-step explanation:

Given heights,

152.0 cm, 150.75 cm, 149.5 cm, and 149.25,

∵ Calvin is taller than Josh, but shorter than Mark,

The increasing order of heights,

Josh < Calvin < Mark,

Also, Bradley is the tallest,

That is, the height of Bradley is the greater than Josh, Calvin and Mark,

So, the final increasing order of heights,

Josh < Calvin < Mark < Bradley

∵ 149.25 < 149.5 < 150.75 < 152.0

Hence, the height of Mark is 150.75.

The greatest common factor of two whole numbers can be found by an example given.

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those would be together compose as GCF(Greatest common factor).

For example;

we have the 52, and 24, for a number that can go into both that is the largest possible for my example

That would be 4 since, no number greater can go into both, while 2 would be a option it would not be the greatest.

Therefore, the greatest common factor of two whole numbers can be found by an example given.

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Answer:

i dont know

Step-by-step explanation:

Brittany can use the equation q = (n - 4) / 7 to find the number of quarters in each roll, based on the total number of quarters she has.

To find the equation that Brittany could use to determine the number of quarters in each roll (q), we can rearrange the original equation to solve for q. Given the equation n = 7q + 4, where n represents the total number of quarters she had, we can solve for q as follows:

n - 4 = 7q, by subtracting 4 from both sides of the equation.

Then, we divide both sides by 7 to isolate q:

q = (n - 4) / 7.

This equation can be used by Brittany to determine the number of quarters in each roll based on the total number of quarters she possesses. It essentially divides the total number of quarters minus the extra quarters by the number of rolls to give the quantity of quarters in each roll.

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Answer:

y = 3/2x + 6

Step-by-step explanation:

2/3y - 4 = x

2/3y = x + 4

y = 3/2(x) + 4*3/2

y = 3/2x + 6

hence the answer is y = 3/2x + 6

hope this helps

Answer:

im on the same thing but i think the answer is bivariate

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

We can deduct the equation that represents this problem using the point-slope formula

[tex]y-y_{1} =m(x-x_{1} )\\y-2=2(x-1)\\y=2x-2+2\\y=2x[/tex]

So, for [tex]y=24[/tex], we have

[tex]y=2x\\24=2x\\x=\frac{24}{2}\\ x=12[/tex]

Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).

To find the percent decrease between the number of games won by the Cubs in 2013 and 2014, subtract the two numbers and calculate the percentage.

To find the percent decrease, we need to calculate the difference between the two numbers and then calculate what percentage that difference is of the original number. In this case, the initial number of games won by the Cubs in 2013 was 87, and the number of games won in 2014 was 75. The difference is 87 - 75 = 12. To calculate the percent decrease, divide the difference by the original number and multiply by 100: (12 / 87) * 100 = 13.79%. Therefore, the percent decrease is approximately 13.79%.

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The circumference of the circle with radius [tex] r [/tex] is given by [tex] P=2\pi r [/tex]. When [tex] r=39\;in [/tex],

[tex] P=2\pi (39)\\
P=78\pi \;in [/tex]

Correct choice is (C).

Answer:

Option C is correct

78 π inches

Step-by-step explanation:

Circumference (C) of a circle is given by:

[tex]C = 2 \pi r[/tex]                   .....[1]

where, r is the radius of the circle.

As per the statement:

From the given figure;

radius of the circle(r) = 39 in.

Substitute this value in [1] we have;

[tex]C = 2 \cdot \pi \cdot 39 = 78 \pi[/tex]

Therefore, the value of circumference of the circle in terms of pi is, [tex]78 \pi in.[/tex]

 5.1   Subtracting a fraction from a whole 

Rewrite the whole as a fraction using  2  as the denominator :

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole 

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

 5.2       Adding up the two equivalent fractions 

we know that

The combined capacity of the pools is equal to the capacity of the olympic size pool plus the capacity of the smaller pool

so

Capacity of the olympic size pool

[tex]8.12*10^{5}\ gallons[/tex]

Capacity of the smaller pool

[tex]5.27*10^{5}\ gallons[/tex]

Adds the two capacities

[tex]8.12*10^{5}\ gallons+5.27*10^{5}\ gallons=13.39*10^{5}\ gallons[/tex]

[tex]13.39*10^{5}\ gallons=1.339*10^{6}\ gallons[/tex]

therefore

the answer is

[tex]1.339*10^{6}\ gallons[/tex]

The combined capacity of the pools is [tex]\fbox{\begin\\\ 1.339\times 10^{6}\text{ gallons}\\\end{minispace}}[/tex].

Further explanation:

Given:

The capacity of Olympic size pool is [tex]8.12\times 10^{5}[/tex] gallons of water.

The capacity of smaller size pool is [tex]5.27\times 10^{5}[/tex] gallons of water.

Concept used:

The combined capacity of water in the Olympic pools and smaller pool is obtained by the addition of both the capacity of the pools.

In the other words combined capacity of pools is equal to the sum of the capacity of water in Olympic pools and the capacity of water in the smaller pools.

Calculation:

Consider the combined capacity of pool as [tex]C[/tex], the capacity of the Olympic size pools as [tex]X[/tex] and the capacity of smaller size pools as [tex]Y[/tex].

Therefore the combined capacity of the pool is obtained as,

[tex]\fbox{\begin\\\ \math C=X+Y\\\end{minispace}}[/tex]   .....(1)        

Substitute [tex]8.12\times10^{5}[/tex] for [tex]X[/tex] and [tex]5.27\times10^{5}[/tex] for [tex]Y[/tex] in equation (1) to obtain the combined capacity.

[tex]\begin{aligned}C&=(8.12\times10^{5})+(5.27\times10^{5})\\&=(8.12+5.27)\times10^{5}\\&=13.39\times10^{5}\\&=1.339\times10^{6}\end{aligned}[/tex]

Therefore, the combined capacity of the pools is [tex]\fbox{\begin\\\ 1.339\times 10^{6}\text{ gallons}\\\end{minispace}}[/tex].

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Mensuration

Keywords: Capacity, gallons, pools, water, Olympic size, smaller, combined capacity, mensuration, addition.

Answer:

-4 1/2, -1/2, 1/4, 2/3, 2 1/3

Step-by-step explanation:

Given the numbers in the order below;

-1/2, 1/4,2/3,-4 1/2, 2 1/3

Firstly we will convert this fractions to percentage.

For -1/2;

-1/2×100 = -50%

For 1/4;

1/4×100 = 25%

For 2/3;

2/3×100 = 66.7%

For -4 1/2 = -9/2

-9/2×100 = -450%

For 2 1/3 = 7/3

7/3×100 = 233.1%

Ordering the numbers from least to greatest means arranging from lowest to highest(ascending order of magnitude)

During arrangement, the negative values are the least and that come first followed by the positive values. The arrangements gives;

-450%, -50%, 25%, 66.7%, 233.1%

According to their fractions will give us;

-4 1/2, -1/2, 1/4, 2/3, 2 1/3 (From lowest to greatest)

Answer:

4 cookies will be eaten, 2 by each friend, and 1 will be left over, unless they cut it in half.