Answer:
Ellie's age = 2 years
Genya's age = 58 years
The current age of Ellie would be 8 years old.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the sum of Ellie's and Genia's age is 60 and in 6 years, Genia will be eight times older than Ellie will be.
Assume that the current age of Ellie is [x] years and Genia is [y] years. Than, we can write -
x + y = 60
y = 60 - x
and
(y + 6) = 8(x + 6)
Put y = 60 - x , we get -
(60 - x + 6) = 8x + 48
66 - x = 8x + 48
9x = 66 - 48
9x = 18
x = 2
Ellie's current age = x + 6 = 8 years.
Therefore, the current age of Ellie would be 8 years old.
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Please help due in a hour!!
Answer:
f(x)=1/2(x-4)^2+2
Complete the statement, then write the postulate you used.
Please help! I’ll give brainliest!
19 POINTS AND ILL GIVE BRAINLIEST!!
Which number is equivalent to this expression? 3+0.1+0.004
A. 314
B. 3.14
C. 3.104
D. 3.1004
Answer:
3.104 (option c)
Step-by-step explanation:
3 + 0.1 + 0.004 = 3.104
can someone help please ill give brainlyest if right
Then according to the above statement, we have the following equation:-
[tex]3 + 4x = 6x - 5[/tex]
Subtract 4x from both sides , we get
[tex]3 = 2x - 5[/tex]
Add 5 on both the sides , we get
[tex]8 = 2x[/tex]
Divide both sides by 2 , we get
[tex]4 = x[/tex]
Hence, the number is 4
Can someone please please help me. ?????
Answer:
#1
x intercept is -5
y intercept is -5
#2
y=8x
Step-by-step explanation:
There are 92,746 seats available for fans at UGA's Sanford Stadium. Auburn University's Jordan-Hare Stadium has seating for 87,451 for fans. How many more seats are there at UGA's stadium?
Given :
Number of seats at UGA's Sanford Stadium, [tex]n_1 = 92,746[/tex] .
Number of seats at Auburn University's Jordan-Hare Stadium, [tex]n_2=87,451[/tex] .
To Find :
How many more seats are there at UGA's stadium.
Solution :
Extra seats at UGA's stadium = seats at UGA's Sanford Stadium - seats at
Auburn University's Jordan-Hare Stadium
= 92,746 - 87,451
= 5295
Hence, this is the required solution.
three fourth c = five ninthe
Answer:
Step-by-step explanation:
3/4c=5/9
C=5×4/9×3
C=20/27
Kailey correctly graphed the opposite of –3.3 on the number line.
A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.
Which point could be the point Kailey graphed?
The number line shows that Kailey could have graphed the point C (3.3).
Number LineThe number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.
Opposite NumbersOpposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).
STEP 1 - Plot the number linePlot the number line with the given limits: -5 to 5. See the attached image.
STEP 2 - Plot the given points in the number linePlot the points A, B,C an D in the number line drawn in step 1. See the attached image.
STEP 3 - Analyse the plotted number lineLike the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).
-3.3+3.3 =0
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Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-‐up fee of $250, and it charges $6.00 to burn each CD. define the variabvles in this situation
What is the solution for the
equation x+1 = x+2?
Answer:
nosoulutions
Step-by-step explanation:
Answer:
There are no solutions.
Step-by-step explanation:
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.87 but 220.88 if u have to round up :)
Solve for y.
4(y - 8) + 6 = 58
Answer:
[tex]4(y - 8) + 6 = 58 \\ or \: 4y - 32 + 6 = 58 \\ or \: 4y - 26 = 58 \\ or \: 4y = 58 + 26 \\ or \: 4y = 84 \\ or \: y = \frac{84}{4} \\ or \: y = 21[/tex]
21 is the answer.....Hopes to get BRAINLIEST......Hopes it helps you.......Thank you ☺️
13.El área de un terreno rectangular es de 24 m2. Si el largo mide 2 m más que el ancho. A=24 m2 a) ¿Qué ecuación cuadrática resuelve el problema? b) ¿Cuáles son sus dimensiones? Largo= Ancho=
Answer:
Area = L · A = 24 m²
L = A + 2
reemplazamos:
(A + 2) · A = 24
A² + 2A - 24 = 0 ⇒ esta es la ecuacion quadratica
la solucion es: (A + 6) · (A - 4)
largo = 6 metros
ancho = 4 metros
A dripping faucet leaks 3 ounces of water each minute. How many ounces of water leak in 2 hours and 15 minutes?
Answer:
405 ounces of water
Step-by-step explanation:
1 hr = 60 mins
2hrs= 120 mins (60 x 2)
120 + 15 = 135
135 x 3 = 405
Answer:
the answer is 1.875 gallons
Step-by-step explanation:
4 cakes and 3 doughnuts cost £11, 4 cakes and 7 doughnuts cost £23.
Work out the cost of one cake and one doughnut separately
1.15÷0.23=? pls answer guys
Answer:
5
Step-by-step explanation: I used a calculator
PLZ HELP 20 POINTS I REALLY NEED THIS KKKJHGKJHGKJHGKJHGKJHG
Mallory records the number of hours she spends babysitting and the amounts of money she is paid. What is the constant rate of proportionality between the number of hours Mallory babysits and the amount of money she is paid, in dollars?
Please explain as well, I do not understand how I would find the answer.
Answer:
Mallory gets paid $20 for every 1 hour.
Step-by-step explanation:
You take the lowest set of numbers in this table, & divide them to find how much it would be for 1 hour: $40÷2hours= $20
ratio 1 hr./20 dollars
Marlon earned $8.50 per hour plus an additional $80 in tips waiting tables on Saturday. He earned at least $131 in all. If h represents the number of hours Marlon worked, which inequality represents the minimum number of hours, to the nearest hour, that Marlon worked on Saturday?
Question 1 options:
8h + 80 ≥131
80h + 8.50 ≥ 131
8.50h + 80 ≤ 131
80h + 8.50≤ 131
Answer:
8.50h + 80 ≥131Step-by-step explanation:
The answer is not in the option
Step one:
given data:
we are told that the hourly earning= $8.50
then additional tip=$80
total earnings=$131.
Step two:
the linear function for the total earning is the same as the equation of a line
y=mx+c
where
y represents the total earning of $131
m represents the hourly earning= $8.50
x represents the number of hours h
c represents the tip of $80
The expression for the situation is modeled as
8.50h + 80 ≥131Guys plz help me answer this!!!!!
Answer:
y= -2x+6
Step-by-step explanation:
If ur able to use a calculator there is a slope calculator online and it's easy to use
Please help with the attatched!
Answer: a + b = 40
[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]
because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]
=> a = 51
b = -11
=> a + b = 51 -11 =40
Step-by-step explanation:
Answer:
[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]
a = 51
b= -11
The sum of 324 and 135 is 503. Which number base was used for this calculation.
Answer:
Base 6 was used
Step-by-step explanation:
Here, we want to find which number base was used for the addition calculation
We start by adding the two end numbers
4 + 5 = 9
But 3 was recorded;
That means we can have 6 as the number base( 9/6 = 1 r 3)
We still continue to verify this;
The next addition is 2+3 = 5, adding the 1 brought forward, we have 6, but 0 was recorded
6/6 is (1 r 0)
This still further corroborated the earlier assertion;
then lastly 3 + 1 + 1 (1 brought forward); 5
This was recorded directly to show that the base in question is not less than 5
Hence our base of addition is base 6
Can someone help me on this? Will mark brainleist if they get it right!
Answer:
2.5
Step-by-step explanation:
2500 ÷ 1000
*Sorry if this is wrong*
The sum of 8 times a number and 3 is equal to 2.
Answer:
-1/8
Step-by-step explanation:
Let's assign this "number" the variable n:
8n + 3 = 2
8n = -1
n = -1/8
solve the equation 4x²+4x+1=0
Answer: x = -1/2
4x² + 4x + 1 = 0
⇔ (2x + 1)² = 0
⇒ 2x + 1 = 0
⇔ x = -1/2
Step-by-step explanation:
Angel bought a plant and planted it in a pot near a window in his house. The plant grew at a rate of 3 inches per month and its height at the time of purchase was 15 inches. Write an equation for
H
,
H, in terms of
t
,
t, representing the height, in inches, of the plant
t
t months after Angel bought the plant.
H = 15 + 3t, is the equation representing the height, in inches, of the plant tt months after Angel bought the plant.
What is an equation?Equation is a mathematical and physical statement that describes physical occurrences and the relationship between various physical quantities. It usually consists of basic variables that show physical quantities, but it may also point to a personal variable like your energy.
An equation that has a "equal to sign (=)" either reveals the answer or represents the value of the variable. However, since there is no equal sign in the case of an expression, there can be no clear answer and the value of the concerned variable cannot be displayed.
Given that,
H representing the height, in inches, of the plant
t months after Angel bought the plant
Thus, equation becomes: H = 15 + 3t
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How would you graph the result of -3 + 5 as a point on the number line?
two places to the right of zero
two places to the left of zero
eight places to the right of zero
eight places to the left of zero
give an example of a rational number
The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x dollars per unit. Which of the following statements best interprets the average rate of change of this function from x = 50 to x = 55?
The profit increases by $375 for every $1 increase in the selling price.
The profit decreases by $375 for every $1 increase in the selling price.
The profit increases by $1875 for every $1 increase in the selling price.
The profit decreases by $1875 for every $1 increase in the selling price.
Answer:
The profit decreases by $ 375 for every $ 1 increase in the selling price.
Step-by-step explanation:
From the definition of the secant line we get that the average rate of change of [tex]P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5[/tex], where [tex]x[/tex] is the selling price of the product, measured in dollars per unit, is:
[tex]r = \frac{P(55)-P(50)}{55-50}[/tex] (1)
Now we evaluate the function at each bound:
x = 50
[tex]P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5[/tex]
[tex]P(50) = 11[/tex]
x = 55
[tex]P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5[/tex]
[tex]P(55) = 9.125[/tex]
Then, the average rate of change is:
[tex]r = \frac{9.125-11}{55-50}[/tex]
[tex]r = -0.375[/tex]
Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.
The statements that best interprets the average rate of change from x = 50 to x = 55 is (b) The profit decreases by $375 for every $1 increase in the selling price.
The profit function is given as:
[tex]P(x) = -0.015x^2 + 1.2x - 11.5[/tex]
Calculate P(x), when x = 50.
So, we have:
[tex]P(50) = -0.015(50)^2 + 1.2(50) - 11.5[/tex]
[tex]P(50) = 11[/tex]
Calculate P(x), when x = 55.
So, we have:
[tex]P(55) = -0.015(55)^2 + 1.2(55) - 11.5[/tex]
[tex]P(55) = 9.125[/tex]
The average rate of change from x = 50, to 55 is then calculated using:
[tex]m = \frac{P(55) - P(50)}{55-50}[/tex]
So, we have:
[tex]m = \frac{9.125 - 11}{55-50}[/tex]
[tex]m = \frac{-1.875}{5}[/tex]
Divide
[tex]m = -0.375[/tex]
The function is in 1000 units.
So, we have:
[tex]m = -0.375\times 1000[/tex]
[tex]m = -375[/tex]
-375 implies a decrease of $375 for every $1 increase in sales
Hence, the correct statement is (b)
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PLEASE HELP ASAP IT IS VERRY IMPORTANT!!!
If the vertex of f(x) is (-9,-7), what is the vertex of f(x-5)+3?
Answer:The vertex is
(0,7)
Sometimes we have problems with the easier questions because it's not exactly in the form we're used to. Normally for a quadratic, you would complete the square to find the vertex. But this quadratic is already in vertex or standard form:
f(x)=−(x−0)2+7
Step-by-step explanation: Hope this helps
