Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh? Greg weighs 200 pounds, and Justin weighs 185 pounds. Greg weighs 190 pounds, and Justin weighs 175 pounds. Greg weighs 180 pounds, and Justin weighs 165 pounds. Greg weighs 170 pounds, and Justin weighs 155 pounds.

Answer: Your answer is 1. and 4.

Step-by-step explanation:

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nCr=8C2=28 coefficient

28*p^2*q^6=.2965

the total number of mini muffins Carmine gets is 4.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally.

In first group,

Each student will get = 12/8

Each student will get = 3/2 mini muffin

In second group,

each student will get = 15/6

each student will get = 5/2

Since, carmine is in both the groups,

She will get = 5/2 + 3/2

Carmine will get total mini muffin = 8/2 = 4

Therefore, Carmine will have 4 muffins for herself.

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To find the measure of angle 2 in the given triangle, subtract 180 degrees from the sum of the other two angles.

To find the measure of angle 2 in the given triangle, we need to use the fact that the sum of angles in a triangle is always 180 degrees.

Thus, Angle 3 can be found by subtracting angles 1 and 2 from 180 degrees: Angle 3 = 180 - 42 = 138 degrees.

Finally, Angle 2 can be found by subtracting Angle 3 and Angle 4 from 180 degrees: Angle 2 = 180 - 138 - 81 = 39 degrees.

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The Pythagorean theorem is used to find the distance between points in a coordinate plane by calculating the hypotenuse of a right triangle formed by the coordinates. The greatest distance is between point B and point E.

To find the distance between two points using the Pythagorean theorem, you need to know the coordinates of the points. The formula for the distance between two points (x1, y1) and (x2, y2) is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

The greatest distance is between point B and point E, which is approximately __units long.

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To find the sum of all possible values of a, we subtract 5 from both sides of the inequality a + 5 < 12 and find the maximum value of a. The sum of all possible values of a is 21.

To find the sum of all possible values of a, we need to determine the range of possible values for a. We are given that the sum of a and 5 is less than 12. This can be expressed as a + 5 < 12. To find the maximum value of a, we subtract 5 from both sides of the inequality: a < 12 - 5 = 7. Therefore, the possible values of a are all the positive integers less than 7. To find the sum of all these values, we can use the formula for the sum of consecutive positive integers: S = (n/2)(n+1), where n is the largest integer. In this case, n = 6, so the sum of all possible values of a is (6/2)(6+1) = 21.

The sum of all possible values of a is 21.

The question states that the sum of the positive integer a and 5 is less than 12. To find the sum of all possible values of a, we need to determine the range of values that satisfy this inequality. Let's set up the inequality:

a + 5 < 12

Subtract 5 from both sides:

a < 7

So, the possible values of a are all positive integers less than 7. To find the sum of all these values, we can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

Here, the first term is 1 and the last term is 6 (since we want integers less than 7). The number of terms, n, is 6, since there are 6 possible values of a. Plugging in these values:

Sum = (6/2)(1 + 6) = 3 * 7 = 21

So, the sum of all possible values of a is 21.

Your calculator can be of great help here.

-5/6 = - 0.833333

- 5

- sqrt(26) = - 5.09

- 31 /6 = - 5.1666

Rule: the "larger" the number numerically in the minus region, the smaller the number actually is. Think money. Which would you rather be - 1000 dollars or - 100 dollars. Well you may say neither, but you have to choose. I would rather be just 100 dollars in debt which is - 100 from my point of view.

So the order from smallest to largest is

-31/6, -sqrt(26), -5, -5/6

Remember that -5/6 is 83 cents in debt.

Final answer:

To find the unit rate for a 14-ounce box of cereal selling for $2.10, divide the price by the number of ounces to get $0.15 per ounce.

Explanation:

The unit rate for a 14-ounce box of cereal selling for $2.10 can be calculated by dividing the price of the box by the number of ounces it contains. To find the unit rate, you would perform the following calculation:

Unit rate = Price per box ÷ ounces per box

Unit rate = $2.10 ÷ 14 ounces

Unit rate = $0.15 per ounce

Therefore, the unit rate or cost per ounce for the cereal is $0.15.

The slope intercept format is y = -1 / 3x + 2

The slope intercept formula is represented as follows

where

m = slope

b = y-intercept

Therefore, let's find m using the coordinates (-9, 5)(-3, 3)

m = 3 - 5 / -3 - (- 9)  = -2 / 6 = - 1 / 3

let's find b using the coordinate(-3, 3)

3 = -1 / 3 (-3) + b

3 = 1 + b

b = 2

Finally,

y = -1 / 3x + 2

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i belive the answer is c

Answer:

Whats up? Its c

Step-by-step explanation:

The amount of concrete that is required to fill the fountain is given as 1433.61 ft³. None of the options is correct.

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

The height of fountain is 5 feet.

And, the diameter is 19 feet.

Then, the radius is given as 19/2 = 9.5 feet.

The amount of the concrete filled is equivalent to the volume of cylinder given as,

Plug h = 5 and r = 9.5 in V = πr²h as below,

⇒ V = 3.14 × 9.5² × 5 = 1433.61

Hence, the amount of concrete is given as 1433.61 ft³.

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Answer:

the answer is d

Step-by-step explanation:

Answer:

the slope is 3 and the intercept is 0.

Step-by-step explanation:

Rounding 549,423 to the nearest thousand involves looking at the hundreds of places. Since it's lower than 5, the thousand's place remains the same, rendering 549,000 as the rounded number.

Rounding 549,423 to the nearest thousand involves examining the hundreds place, which contains a 4. In rounding, if this number is less than 5, you leave the thousands place as it is and change everything to its right to zeros. If it's 5 or more, you increase the thousands place by one and change everything to its right to zeros.

Therefore, because the number in the hundreds place in 549,423 is 4 - which is less than 5 - we don't round up. We leave the thousands place '549' as is and change the hundreds, tens, and ones place to zeros. Hence, 549,423 rounded to the nearest thousand is 549,000.

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Brayne can purchase 5 used video games after the purchase of 3 new video games.

Let us say

Cost of each used video game = x

Cost of each new video game = y

According to question,

Yafreisy spent a total of $84 on 4 used video games and 2 new video games.

4x+ 2y = 84......(i)

Ashley spent a total of $78 on 6 used video games and 1 new video game.

6x + y = 78......(ii)

After solving pair of linear equations (i) and (ii)

An equation in the form of ax+by+c, where a,b and c are real numbers and a,b are not equal to zero, is called a linear equation in two variables.

x=9

y= 24

After purchasing 3 new video games, money left with Brayen:

120-3*24=$48

So, used video games that Brayen can buy after purchase of 3 new video games = 48/9 ≈5.4

Therefore, Brayne can purchase 5 used video games after the purchase of 3 new video games.

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Answer:

The 8th graders have a larger % of students that do not like playing tennis than do like playing tennis

Compared to the 8th graders, a smaller percentage of the 7th graders like playing tennis.

those are the correct answer

Step-by-step explanation:

I did the test proof VVV VVV VVV

The algebraic expression for the given statement is x-7.

The given statement is seven points less than yesterday’s score.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Let the score of yesterday be x.

Here, expression is x-7

Therefore, the algebraic expression for the given statement is x-7.

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Answer:

The approximate volume of the model of planet earth is [tex]113.04\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=3\ ft[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(3^{3})=113.04\ ft^{3}[/tex]

The approximate volume of a spherical model of Earth with a radius of 3 ft is calculated using the formula V = (4/3)πr³, which results in a volume of 113.04 cubic feet when rounded to the nearest hundredth.

To calculate the approximate volume of a spherical model of planet Earth with a radius of 3 ft, we use the formula for the volume of a sphere, which is V = (4/3)πr³. Plugging in the values, we get V = (4/3) × 3.14 × (3 ft)³. Performing the calculation, we first cube the radius (3 ft × 3 ft × 3 ft = 27 ft³), then multiply by π (approximately 3.14), and finally multiply by 4/3. So, V = (4/3) × 3.14 × 27 ft³ = 113.04 ft³.

When we round to the nearest hundredth, the approximate volume of the model is 113.04 cubic feet.

Answer: [tex]\dfrac{6}{8}[/tex] or 6 over 8.

Step-by-step explanation:

Given: The number of card having rose on it  = 7

The number of card having daisy on it = 2

Then the total number of cards on table = [tex]7+2=9[/tex]

After removing one rose card , the total number of cards left on table = 8

The number of rose card left on table = 6

Now, the required probability is given by :-

[tex]\text{P(Rose)}=\dfrac{\text{Number of rose card }}{\text{Total cards}}\\\\\Rightarrow\text{P(Rose)}=\dfrac{6}{8}[/tex]

Hence, the probability that the card that Alfa turns over has a rose on it = [tex]\dfrac{6}{8}[/tex]

Answer:  [tex]13.5\text{ m}^2[/tex]

Step-by-step explanation:

Given: Cubic bins with closed tops are used to transport melons to the farmers market.

The edge length of each bin = 1.5 m

We know that the surface area of cube is given  by :-

[tex]\text{S.A.}=6(\text{edge})^2\\\\\Rightarrow\text{S.A. of cubic bin}=6(1.5)^2\\\\\Rightarrow\text{S.A. of a cubic bin}=13.5\text{ m}^2[/tex]

Hence, the surface area of a cubic bin=[tex]13.5\text{ m}^2[/tex]