The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 108. What are their ages?
The ages of Edna, Ellie, and Elsa are 35, 36, 37 respectively.
What is meant by consecutive integers?For any integer say 'a', its consecutive integers will be → (a + 1), (a + 2), (a + 3), .... , (a + n).
Given is the sum of ages of Edna, Ellie, and Elsa is 108.
Assume that the age of Edna is x.
Then the ages of Ellie and Elsa will be (x + 1) and (x + 2) respectively.
From the question we can write -
x + (x + 1) + (x + 2) = 108
3x + 3 = 108
3x = 105
x = 35
So, we can write -
Age of Edna = 35
Age of Ellie = 36
Age of Elsa = 37
Therefore, the ages of Edna, Ellie, and Elsa are 35, 36, 37 respectively.
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Angle Eand angle F are supplementary. the measure of angle E is 54 more than the measure of angle F. find the measure of each angle
Find the slope and the y-intercept of the equation.
-3x + 9y = 18
How many more barrels of gasoline then diesel were produced last year gasoline 34% diesel 29% total crude oil -60 million barrels Total
Answer: 3 million barrels
Step-by-step explanation:
Given :- Total crude oil= 60 million barrels
Quantity of gasoline = 34% of total crude oil
[tex]=0.34\times60\text{ million barrels}\\=20.4\text{ million barrels}[/tex]
Quantity of diesel = 29% of total crude oil
[tex]=0.29\times60\text{ million barrels}\\=17.4\text{ million barrels}[/tex]
Clearly, Quantity of gasoline is more than Quantity of diesel
difference = Quantity of gasoline-Quantity of diesel
[tex]20.4\text{ million barrels}-17.4\text{ million barrels}\\=3\text{ million barrels}[/tex]
Therefore, The production of gasoline is 3 million barrels more than diesel last year.
3 million more barrels of gasoline then diesel were produced and this can be determine by using the arithmetic operations.
Given :
Gasoline is 34% of total crude oil.Diesel is 29% of total crude oil.Total crude oil = 60 million barrels.The quantity of Gasoline = 34% of total crude oil
[tex]=\dfrac{34}{100}\times 60[/tex]
= 20.4 million barrels
The quantity of Diesel = 29% of total crude oil
[tex]=\dfrac{29}{100}\times 60[/tex]
= 17.4 million barrels
Quantity of Gasoline - Quantity of Diesel = 20.4 - 17.4 = 3 million barrels
Therefore, 3 million more barrels of gasoline then diesel were produced.
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jeremy approaches three people who do not want to buy any plants however they wish to donate money for the fundraiser when Jeremy delivers the plants one week later. if the people promise to donate a total of $14.40, what will be the average cash donation?
answer and b please!!
Which set of numbers is a geometric sequence?
2, 3.5, 4, 5.5,
4, 12, 36, 108,
35, 29, 23, 17,
256, 64, 16, 8,
Answer:
4, 12, 36, 108 is set of geometric sequence.
Step-by-step explanation:
Given : geometric sequence.
To find : Which set of numbers is a geometric sequence.
Solution : We have given geometric sequence.
In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Like : {a, ar, ar², ar³, ... }, where , a = first term , r = common ration .
We can see sequence 4, 12, 36, 108 in form of 4 , 4*3 , 4 (3)² , 4( 3)³.
Here, common ration is 3.
Therefore, 4, 12, 36, 108 is set of geometric sequence.
Sweet t has 2 orange picks for every green pick . If 6 picks are green, how many are orange
A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1/1.2 cups of granulated sugar, and 4 cups of frozen raspberries, thawed. How many gallons of water would the recipe call for if a school made 320 servings for students to eat at lunch?
A. 4 gallons IF RIGHT I'LL GIVE BRAINLIEST
B. 8 gallons
C. 40 gallons
D. 80 gallons
Answer:
The answer is option A : 4 gallons.
Step-by-step explanation:
A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1/1.2 cups of granulated sugar, and 4 cups of frozen raspberries.
Now 10 servings need = 2 cups of water.
And 320 servings will need = [tex]\frac{2}{10}\times320= 64[/tex] cups of water.
Now, 1 cup = 0.0625 gallons
So, 64 cups are = [tex]0.0625\times64=4[/tex] gallons
Therefore, answer is option A : 4 gallons.
Which set of x- and y-values represents a function
There are 8 peaches in the basket. Mrs Dalton puts 7 more peaches in the basket. Complete the addition sentence to find how many peaches are in the basket now.
simplify the expression 5 square2 square18
solve the system of equation 2x-9y=14 x=-6y+7
To solve such problems we must know about the system of equations.
The system of the equation will give a unique solution at point (7, 0).
Given to us2x - 9y = 14x= - 6y + 72x-9y=14
as the value of x is already given in equation2, therefore, substituting the value of x in equation 1, we get,
[tex]2(6y+7)-9y=14[/tex]
[tex]-12y+14-9y=14\\ -12y-9y =14-14\\ -21y = 0\\ y =0[/tex]
Equation 2[tex]x= - 6y + 7[/tex]
Substituting the value of y,
[tex]x= - 6(0) + 7\\ x= 7[/tex]
VerificationThe system will give a unique solution at points x=7, and y=0, this can be verified by plotting the two equations on the graph.
Hence, the system of the equation will give a unique solution at point (7, 0).
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what is 1.588 x 10^-1 in standord form
The Standard form of number is,
⇒ 0.1588
We have to give that,
Scientific notation is,
⇒ 1.588 × 10⁻¹
Since Scientific notation is a way of writing very large or very small numbers.
For example; 230,000,000 can be written in scientific notation as
2.3 x 10⁸.
Hence, the Standard form of number is,
⇒ 1.588 × 10⁻¹
⇒ 1.588 / 10
⇒ 0.1588
Therefore, The solution is, 0.1588
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Estimate the product 879x8
Which algebraic expression is in simplest form? Explain 5x - 4 + 6y or 4x + 8 - x or 3(7+y) or 12n - n
a lab tech wishes to mix 70% saline and 20 % saline to prepare 500ml of a 40% solution what amount should be used in the mix
Answer:
20 and 400 and 70 and 100
Solve for x.
2x2(^) − 4x = 0
combining like terms
simplify each expression
-v + 12v
Jan has 37.50 tickets to a concert cost 5.25 each how many tickets can Jan buy
Vivek graphs the equation y = 1/4x^2 and y = -1/2x + 2 to solve the equation 1/4x^2 = -1/2x + 2. His graph is shown below.
What are the solutions of 1/4x^2 = -1/2x + 2?
A.) -4 and 2
B.) -4 and 1
C.) 0 and 4
D.) 1 and 4
Answer: Using the graph to find the solution of the given equation, the solutions are:
Option A.) -4 and 2
Solution:
The solutions in the graph are the values of "x" where the curves intercept. In this case the curves intercept at x=-4 and at x=2, then the solution of the equation are -4 and 2
Please Help!
Karma was given some birthday money. She put the money in an account. Every month after that, she deposits the same amount of money.
The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits.
What does the y-intercept mean in this situation.
The y-intercept means that Karma was given $60 for her birthday. Therefore, option C is the correct answer.
The given equation that models the given situation is y=75x+60.
What is the y-intercept?The y-intercept of a graph is the point where the graph intersects the y-axis.
We know that the x-coordinate of any point on the y-axis is 0. So the x-coordinate of a y-intercept is 0.
Now, Graph the line using the slope and y-intercept, or two points.
Slope: 75
y-intercept: (0, 60)
The coordinates to plot the graph is (0, 60) and (1, 135).
Here, in the graph, if we then look at the y-intercept we can see that the function crosses the y-axis at a value of 60.
Therefore we can safely say that the y-intercept means that Karma was given $60 for her birthday.
The y-intercept means that Karma was given $60 for her birthday.
Therefore, option C is the correct answer.
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Find the product? I’m in desperate need of a little help.
Alex has 175 baseball cards. Rodney has 3 times as many baseball cards as Alex. How many fewer cards does Alex have than Rodney?
help with geometry pleasee
HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!!!
What is the distance between point A (-1,3) and point B (-7,3)?
A. 1 unit
B. 3 units
C. 6 units
D. 8 units
Let f(x) = 6x2 + 5 and g(x) = 3x - 5. Find f(g(0)).
distributive property of (9×3)+(9×8)
what is the value of the 4 in the number,5,679.04
The value of the 4 in the number 5,679.04 is 4,000.
Explanation:The value of the 4 in the number 5,679.04 is 4,000. In the given number, 5,679.04, the digit 4 is in the thousands place, which means it represents 4,000.
Final answer:
The value of the 4 in the number 5,679.04 is in the thousandths place.
Explanation:
Place value is a fundamental concept in mathematics that assigns a numerical value to each digit in a number based on its position. The rightmost digit represents the units, the next digit to the left represents tens, and so on.
For example, in the number 60, the digit 6 is in the tens place, indicating 6 tens or 60. Understanding place value is crucial for performing arithmetic operations and comprehending numerical relationships.
Thus,
The value of the 4 in the number 5,679.04 is 4,000.
In the given number, 5,679.04, the digit 4 is in the thousands place, which means it represents 4,000.
How can the vertical number line be used to add or subtract
A vertical number line resembles a thermometer. It emphasizes that we count up in the number system. Vertical number lines are just alternative way to look at the numbers.
This is commonly used in adding or subtracting
For example: 5 – 3
5 is the start, the sign determines whether you go down or go up, the minus sign denotes down then so the last number denotes how many steps you are going down where you land is the answer. The same goes with addition but instead of down, the plus sign denotes going up.
Answer:
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