The difference between their ages is obtained as 35/12.
What is the difference?Let us recall that the term fraction has to do with a part of a whole. In this case, we have been told that Marcelle and Megan realized that they could express their ages more specifically if they used fractions.
Age of Marcelle = 15 1/2 or 31/2 years
Age of Megan = 12 7/12 or 151/12 years
The difference between their ages is;
31/2 - 151/12
=186 - 151/12
=35/12
There ages would have a difference of 35/12.
In the computation that has gone on above, we can clearly see that the difference in the ages is 35/12.
Learn more about fractions:https://brainly.com/question/10354322
#SPJ1
Missing parts;
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 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.
The ratio of boys to girls at a local sports club is 3 to 1. If there are 45 girls, how many boys are
there?
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.
Help please! I need to know if it’s a function or not!! Thank you!
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
Angles A and B are complementary. If mL A = 2x + 22 and mL B = 46 . Solve for x to find the measure of L and A
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°
Help i dont get this
substitute the place of the X
What is the equation of the line in slope-intercept form that has a slope of 6 and a y-intercept of 1/2
- I have struggled with this for an hour
-I have been taking tutoring and still need help -it's just not clicking
Given the expression 7p + 5q + 4p - 2q, what is the result of combining the like terms?
14pq
11p + 3q
11p + 7q
12p + 2q
Answer:
11p+3q
Step-by-step explanation:
help me please I’ll give BRAINLYIST. A person runs 1 mile in
in 1/2 hour. The
person's speed is miles per hour
Answer:
since speed is miles per hour it would be s=1/1/2 so it would be 2mph
In the figure below, find the length of AD. Round your answer to the nearest tenth.
B
10
Show Your Work
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 needed quick! Problem is attached as a picture. find the surface area of the hemisphere (links and spam will b reported <3)
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
Evaluate: Percents Benita answered 85% of the test questions correctly. If she answered 9 questions incorrectly, how many questions were on the test?
It is urgent.
Answer:
60
Step-by-step explanation:
What is the sum of the interior angles of a 35-gon?
What is the number of sides of a polygon that has the sum of the interior angles equal to 2340°?
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
The coefficient b and c in the equation x^2bxc=0 are alo the root of that equation (c≠0)
[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
To know more about quadratic equation click on below link:
https://brainly.com/question/30098550#
#SPJ4
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
SOMEONE HELP ME PLSSSS
simplify (pic below)
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
4
Drag each option to the correct location on the image.
Match the expenses to their respective categories.
Need
tuition and fees
staple foods
Want
Lamborghini
vacation
lavish wedding
Answer:
NEED:
Tuition and Feesstaple foodsWANT:
VacationLamborghini Lavish WeddingStep-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.
Learn more about Hierarchy of Needs here: brainly.com/question/1759629
#SPJ1
Write the answer to 3^4 x 3^7
(i) in the form 3^x
(ii) as an integer
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
cual es la raiz cuadrada de 94?
Answer:
9.7(aproximado)Step-by-step explanation:
Aquí,
[tex] \sqrt{94} [/tex]
= 9.69......
= 9.7(aproximado)
How to find the side of a triangle given two angles and one side?
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.
To know more on Law of Cosines
https://brainly.com/question/17289163
#SPJ4
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 121 kilograms. A
delivery of 6 large boxes and 2 small boxes has a total weight of 136 kilograms. How much does each type of box weigh?
Weight of each large box: [kilogram(s)
Weight of each small box: kilogram(s)
?
Answer:
136 yhdiby8sruygftdtuggdyubhAnswer:
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!
Find the product shown below in simplest standard form. (x + 5)(x - 5)
help
Answer:
Step-by-step explanation:
X^2-5^2
X^-25
Enter the fraction as a decimal and a percent
2
5
The decimal representation is
The percent representation is
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
Pleas help me with #2, thanks
Mark invests $1500 in an account that pays 5.7% interest compounded continuously. Assuming no deposits or withdrawals are made, how much money will be in the account after 10 years?
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.
60% of the animals at a pet shop are dogs. If there are 42 dogs at the shop, then how many animals are there altogether?
25
70
45
50
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
Find the domain and range of the function graphed below. PLEASE SHOW YOUR WORK!!
The domain and range of the function on the graph are:
D: [-2, 1)R: [0, 4]How to find the domain and range of the function below?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]
Learn more about domain and range:
https://brainly.com/question/10197594
#SPJ1
How many 0's are 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 ?
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.
To know more about terminating decimals:
https://brainly.com/question/639216
#SPJ4
A 30-60-90 triangle has a short leg of 6.
What is the length of the long leg?
Answer:
6√3
Step-by-step explanation:
62 less than j i need to know this answer immediately please
Answer:
62>j
Step-by-step explanation:
mrk me brainliest plz
answer ill give brainlest!!!!<3
Answer j
Step-by-step explanation:
A woman has a ladder that is 13 feet long. If she sets the
base of the ladder on level ground 5 feet from the side of a
house, how many feet above the ground will the top of the
ladder be when it rests against the house?
11
12
8
9
Answer:
8 is the answer
What is not a polynomial class 10?
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.
To learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ4