Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is $15\frac{1}{2}$ years old, and Megan is $7\frac{7}{12}$. What is the difference in their ages? Express your answer as a simplified mixed number.

Answer:

Answer:

Weight of each large box: 18.25kg

Weight of each small box: 13.25kg

Step-by-step explanation:

For this question, we have two unknowns, but we can solve them as we are given two equations.

If we use the variables 'L' for Large and 'S' for small, we  an write out the information given to us as equations:

3L + 5S = 121

6L + 2S = 136

Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:

2(3L + 5S) = 2(121)

=> 6L+10S=242

Now that we have one term which is the same, we can subtract one equation from the other:

  6L+ 10S = 242

- (6L + 2S = 136)

------------------------

=>0L + 8S = 106

Now we can solve for S:

8S/8 = 106/8

S = 13.25

And use this value of S to solve for L:

3L + 5(13.25) = 121

3L + 66.25 = 121

3L + 66.25 - 66.25 = 121 - 66.25

3L = 54.75

3L/3 = 54.75/3

L = 18.25

Hope this helped!

Answer:

since speed is miles per hour it would be s=1/1/2 so it would be 2mph

Answer:

Surface area of hemisphere = 150.72 meter²

Step-by-step explanation:

Given;

Diameter of hemisphere = 8 meter

Find:

Surface area of hemisphere

Computation:

Diameter of hemisphere = 8 meter

Radius of hemisphere = Diameter of hemisphere / 2

Radius of hemisphere = 8 / 2

Radius of hemisphere = 4 meter

Surface area of hemisphere = 3πr²

Surface area of hemisphere = 3(22/7)(4)²

Surface area of hemisphere = 3(22/7)(16)

Surface area of hemisphere = 3(3.14)(16)

Surface area of hemisphere = (9.42)(16)

Surface area of hemisphere = 150.72 meter²

Answer:

6√3

Step-by-step explanation:

Answer:

62>j

Step-by-step explanation:

mrk me brainliest plz

Answer:

NEED:

WANT:

Step-by-step explanation:

Right on Plato! <3

Have a wonderful day!

The needs listed are tuition and fees and staple foods, while the wants are a vacation, a Lamborghini, and a lavish wedding.

The listed needs and wants reflect different aspects of a person's life and priorities. "Tuition and Fees" and "Staple Foods" are necessities that are essential for a person's survival and well-being.

On the other hand, "Vacation," "Lamborghini," and "Lavish Wedding" are desires that are often seen as luxury items or experiences. While having wants is normal and human, it is important to understand that not all wants can be fulfilled, and it is equally important to prioritize needs over wants. Having a balanced approach to spending, budgeting, and financial planning can help ensure that both needs and wants can be met in a sustainable manner.

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A variable-containing expression that divides by a variable, contains fractional or negative exponents, or is enclosed in a radical is not a polynomial.

As long as the polynomial is specified over the real numbers, it is possible for it to have negative coefficients, fractional coefficients, or even radical coefficients.

There cannot be a negative exponent in a polynomial. The exponent of a variable in any term of a polynomial must, by definition, be a nonnegative integer, such as 0, 1, 2, 3, 4, etc. The exponents of variables do not contain fractions, decimals, or negative numbers. There cannot be a variable with a fractional exponent in a polynomial.

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Answer:

Step-by-step explanation:

Aquí,

[tex] \sqrt{94} [/tex]

= 9.69......

= 9.7(aproximado)

substitute the place of the X

There are seven zeroes  located to the right of the decimal point and before the first non-zero digit in the terminating decimal representation of 1/(2^5.5^8).

Terminating decimal is a decimal number which have a finite number of digits after the decimal point. Decimals like 3.45, 6.78, 1.987 are terminating decimals. Decimals which have 0 as the non terminating digit like 3.7800000.. are also called as terminating decimals.

Let P=1/(2^5.5^8)

Multiplying and dividing the numerator by 2^3

P= 2^3/(2^5.5^8.2^3)

P=8/(2^8.5^8)

P=8/10^8

P=0.00000008

The number of zeroes located to the right of the decimal point and before the first non-zero digit are seven.

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Answer:

I)3^4 x 3^7=3^4+7(b/c the base is similar)

3^4 x 3^7=3^11

Ii) first 3^4=3x3x3x3=81

3^7=2187

then 81 x 2187=177147

Answer:

60

Step-by-step explanation:

Answer:

5940

number of sides = 15

Step-by-step explanation:

Sum of the interior angles = (n-2)×180

(35-2)×180

=33×180

= 5940

Sum of the interior angles = (n-2)×180

(n-2)×180 = 2340

(n-2) = 2340/180

n-2 = 13

n = 13 + 2 = 15

so total sides are 15

Answer:

11p+3q

Step-by-step explanation:

Answer:

Step-by-step explanation:

X^2-5^2

X^-25

Answer:

12.4

Step-by-step explanation:

First you need to find the hypotenuse of the other triangle, because it makes up a necessary side for finding AD. Pythagorean theorem states that

a^2 + b^2 = c^2 where a and b are leg lengths and c is the hypotenuse. For the triangle on the left, you're given 2 legs. So you can substitute those into that formula:

a^2 + b^2 = c^2

(10)^2 + (6)^2 = c^2

100 + 36 = c^2

136 = c^2.

Now take the square root of both sides to isolate c.

11.6619038 = c.

11.6619038 rounds to 11.7 so c = 11.7

Now that you have the second leg length for the triangle on the right, you can find its hypotenuse.

Follow the same process. Substitute your values into the equation and then solve for c:

a^2 + b^2 = c^2

(11.7)^2 + (4)^2 = c^2

136.89 + 16 = c^2

152.89 = c^2

Now find the square root of both sides to isolate c

12.3648696 = c.

12.3648696 rounds to 12.4 so c = 12.4

So the distance of AD is 12.4

Answer:

10^11

Step-by-step explanation:

This question helps you practice some exponent rules. To "fix" a negative exponent you push it across the fraction bar. The 10^-3 on the bottom becomes a 10^3 on the top. See image.

Then, when you have 10^8 • 10^3, that is when you are multiplying, you add the exponents.

10 ^ (8+3)

= 10^11

see image

Answer: 135 boys

Step-by-step explanation:

Multiply 3*45 since you know the number of boys is 3 times more than the number of girls.

Answer:

8 is the answer

Answer:

The table represents a function and the slope is -1/2

Step-by-step explanation:

Here, we want to know if the given table is a function

For a relation to be a function, no two y values have same x value

however, 2 x values can have same y value

Looking at the table, we can conclude that what we have is a function

To find the slope, we select any two points and apply the slope formula

m = (y2-y1)/(x2-x1)

(x1,y1) = (6,-2)

(x2,y2) = (-2,2)

m = (2 -(-2))/(-2-6) = 4/-8 = -1/2

Answer:

x = 11

m∠A = 44°

Step-by-step explanation:

Complimentary angles total 90

(2x + 22) + 46 = 90

Subtract 46 from both sides

2x + 22 = 44

Subtract 22 from both sides

2x = 22

Divide both sides by 2

x = 11

------------------------

m∠A = 2x + 22

m∠A = 2(11) + 22

m∠A = 44°

Answer:

x = 11

∡A = 44°

Step-by-step explanation:

2x+22 + 46 = 90

2x + 68 = 90

2x = 22

x = 11

∡A = 2(11)+22 = 44°

The domain and range of the function on the graph are:

Remember that for any function y = f(x), we define the domain as the set of possible inputs (possible values of x) and the range is the set of the possible outputs of the function (possible values of y).

To find the domain we need to look at the horizontal axis. The minimum is at x = -2 with a colored circle, so x = -2 belongs to the domain.

The largest value is at x = 1, now with an open circle, then this value does not belong to the domain. Thus the domain is:

D: [-2, 1)

For the range we need to look at the vertical axis, the minimum is at zero and the maximum at 4, then the range is:

R: [0, 4]

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Answer j

Step-by-step explanation:

Answer:

$2,611.21

Step-by-step explanation:

A = P(1 + r/n)^nt

A = 1500(1 + 0.057/1)¹⁰

A = 1500(1.057)¹⁰

A = 1500(1.740803988528..)

A = 2611.205982792..

A ≈ $2,611.21

______________________

Where A is the total amount including interest, P is the initial amount or principle, r is the rate, n is how many times it is compounded per year, and t is the time in years.

Answer:

70

Step-by-step explanation:

The formula for this question is

60/100 * x = 42

Look carefully at how this is written. You have so many pets (x) in the shop.

60 % of them are dogs. But that 60% we are told is also how many animals are dogs and that is 42.

So you have two facts meaning the same thing.

Multiply the equation by 100

100 * 60/100 *x = 42 * 100

60x = 4200    

Divide by 60

x = 4200/60

x = 70

The total number of animals was 70

[tex]x^2[/tex] - (b+c)x +bc=0  is the quadratic equation whose roots are b,c.

If the roots of a quadratic equation are given, the equation can be written by factoring the equation using the roots.

Given the roots, let's say r1 and r2, the quadratic equation can be written as (x - r1)(x - r2) = 0.

Expanding the above equation x^2 - (r1 + r2)x + r1r2 = 0

Therefore, if the roots of a quadratic equation are given as r1 and r2, the quadratic equation can be written as:

x^2 - (r1 + r2)x + r1r2 = 0

since we are given that the root of the equation are b,c;

so r1=b,r2=c;

putting the value in the above equation we get the equation with b and c as root:

[tex]x^2[/tex] - (b+c)x +bc=0

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Complete question :

The coefficient b and c in the equation [tex]x^2+bx+c[/tex] is also root of another equation where c≠0 .

please write the equation

If you know two angles and one side of a triangle, you can use the Law of Cosines to find the length of the other two sides.

The Law of Cosines states that for a triangle with sides a, b, and c, and angles A, B, and C opposite to those sides, the following formula holds:

c² = a² + b² - 2ab cos(C)

Where C is the angle opposite to side c.

So, if you know the measures of two angles (A and B) and the length of one side (c), you can use the Law of Cosines to find the lengths of the other two sides (a and b) by using the following formulas:

a = √(c² + b² - 2bc cos(A))

b = √(c² + a² - 2ac cos(B))

You can use the above equations to find the sides of the triangle, if you have the measures of two angles and one side.

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Answer:

Percent is 40%

the decimal is .40

Step-by-step explanation:

1/5 = 20%/.20

So if 1/5 is 20% 2/5 should just have 20% more resolving in 40% or .40