Maria filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of gas. If she drove the same number of miles on each gallon of gas, how many miles per gallon did she drive?
The constant rate of gas consumption gives an equal number of miles per
gallon of gas.
The number of miles per gallon Maria drove is 23.5 miles per gallon
Reasons:
The known information are;
Initial volume of gas in the tank = The tank was filled up
The distance in miles Maria drove = 329
The number of gallons with which Maria filled the tank = 14 gallons
Number of miles driven on each gallon = The same number of miles
Required:
The number of driven per gallon
Solution:
The number of miles driven per gallon is therefore;
[tex]Miles \ per \ gallon = \dfrac{329 \ miles}{14 \ gallons} = 23.5[/tex]
Therefore, Maria drove 23.5 miles per gallon of gas
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What graph represents a function with a growth factor of 5?
Answer:
The answer should be C!
Step-by-step explanation:
When you multiply the y value 0.04 and 5 it comes out as 0.02.
Help me or I will steal your caprisun.
Answer:
C and DStep-by-step explanation:
A. Incorrect as the directions are not opposite.B. Incorrect as - 40 - 10 = -50 m ≠ 0.C. Correct as the same amount is added and subtracted, resulting in zero.D. Correct as protons and electrons have opposite charges, their sum is neutral.If < A and < B are supplementary angles, m (
Answer:
m<A + m<B = 180 degrees = 2pi radians
Step-by-step explanation:
Please help with this question! (Brainliest)
Answer: -45j -9k
Step-by-step explanation:
Answer:
-45j - 9kStep-by-step explanation:
[tex] - 9 \: \: . \: \: (5j + k) \\ - 9(5j) -9(k) \\ - 45j - 9k \\ [/tex]
La barbería El Caleño, tiene en promedio 120 clientes a la semana a
un costo actual de $6000 por corte de cabello. Se sabe que por cada incremento
de $700 en el precio, la peluquería pierde 10 clientes. ¿Cuál es el precio máximo
que puede cobrarse de modo que los ingresos semanales no sean menores que los
actuales?
Queremos maximizar el precio de tal forma que los ingresos no disminuyan.
Ese maximo precio es: $14,040.6
Sabemos que actualmente el precio es:
p = $6,000
El número de clientes es:
C = 120
Actualmente los ingresos son el producto de esos dos números, es decir:
ingresos = $6,000*120 = $720,000
Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.
Entonces podemos escribir el número de clientes como una ecuación lineal.
C(p) = a*p + b
tal que tenemos dos puntos en esa linea:
($6,000, 120)
($6,700, 110)
La pendiente es:
[tex]a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}[/tex]
Entonces tenemos:
C(p) = (-10/$700)*p + b
Sabemos que:
C($6,000) = 120 = (-10/$700)*$6,000 + b
120 = -85.71 + b
120 + 85.71 = b =
Entonces la ecuación lineal es:
C(p) = (-10/$700)*p + 205.71
Los ingresos serán dados por:
ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p
Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:
(-10/$700)*p^2 + 205.71*p = $720,000
Entonces debemos resolver la ecuación cuadratica:
(-10/$700)*p^2 + 205.71*p - $720,000 = 0.
Las soluciones son dadas por la formula de Bhaskara.
[tex]p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}[/tex]
La solución de maximo valor es:
p = (-205.71 - 195.45)/(-20/$700) = $14,040.6
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What is the slope of the line shown on the grid?
1.Which of the following is equivalent to 0.00451
Second question. Which of the following is equivalent to 6.32 x 10-*3?
Answer:
1)[tex]4.51[/tex]×[tex]10^-3[/tex]
2) .00632
Step-by-step explanation:
1.Which of the following is equivalent to 0.00451?
= [tex]\frac{451}{100000}[/tex]
=[tex]\frac{4.51}{1000}[/tex]
=[tex]\frac{4.51}{10^3}[/tex]
= [tex]4.51[/tex]×[tex]10^-3[/tex]
Therefore the answer is (a)
===================================================================
Which of the following is equivalent to 6.32 x 10-*3?
In order to find the answer to this question you can just put the notation into standard form which means they will be equivalent to each other.
The exponent is negative so you move to the left:
[tex]6.32=.00632[/tex]
=[tex].00632[/tex]
Therefore 6.32*10^-3 is equivalent too (c) .00632
A toy store marks down all of its items by 15%. If a package of pokemon cards costs $4.99, what is the new price with the markdown? Round to the nearest cent
Answer:
$4.24
Step-by-step explanation:
100%-15%=85%
85/100x4.99=4.2415
4.2415 rounded off to nearest cent =4.24
Hope this helps! Thanks.
Plz help I need help
Divide. Give the quotient and remainder. 5429 divide by 3
Answer:
quotient = 1809
remainder = 2
Step-by-step explanation:
Let me know if i'm right
I need the answer and a step by step
Answer:
hii
Step-by-step explanation:
plzz see attachment
hope it helps u
plz mark as brainliest
The degree of the polynomial function f(x) is 4.The roots of the equation f(x)=0 are −6, −2, 1, and 3.Which graph could be the graph of f(x)?
th LEARNING TASK & Equation FIND THE THE EQUATION OF THE LINE, WRITE STANDARD FORM. THE SLOPE is 5 passing through (-1,4).
Step-by-step explanation:
to find the equation of a line having the slope use this formula:
[tex]y - yp = m(x - xp)[/tex]
in which:
- yp is the y of the point (so 4);
- m is the slope (so 5);
- xp is the x of the point (so -1)
so:
[tex]y - 4 = 5(x - ( - 1))[/tex]
[tex]y - 4 = 5x + 5[/tex]
[tex]y=5x + 5 + 4[/tex]
[tex]y = 5x + 9[/tex]
Please answer will mark BRAINELIST!
Answer:
C
A
C
Step-by-step explanation:
Please help me, this is due in 2 hours and I need this done plz.
Answer:
It's probably it
Step-by-step explanation:
A = (-4, -2)
B = (1, 6)
Imagine a new point (C) where they intersect (1, -2)
Now we can form a triangle, the distance between A and B will be the hypotenuse.
h² = 5² + 8²
h² = 25 + 64
h² = 89
h = [tex]\sqrt{89}[/tex]
h = ~9.43...
h = 9
4/8 x 4/5 = ? Help me please
hope it helps...................
[tex] \frac{4}{8} \times \frac{4}{5} [/tex]
Simplify:
[tex] \frac{4}{2} \times \frac{1}{5} [/tex]
[tex] \frac{4}{10} = \frac{2}{5} [/tex]
Please show steps please
Answer:
x - 2, remainder -4
or
x - 2 + (-4)/(x + 6)
Step-by-step explanation:
x - 2
--------------------------------
x + 6 | x^2 + 4x - 16
- x^2 + 6x
-----------------------
-2x - 16
- -2x - 12
------------------
-4
Answer:
x - 2, remainder -4
or
x - 2 - 4/(x + 6)
Answer:
x - 2
Step-by-step explanation:
I uploaded a photo!
what equation is perpendicular to the equation 4y=x-36
Answer:
y=6 and x=9
Step-by-step explanation:
Ur dad left you IMAO go look for your dad
Pls help on this khan a. homework
Answer
The answer is C
Explanation:
1.2 divided by 4 = 0.3
2.4 divided by 8 = 0.3
3.9 divided by 13 = 0.3
**hope this helps.... brainly please if possible
(I NEED THE ANSWER FAST PLS) Explain how to use place value and the distributive property to find the product of 828 and 9. (also, please do not give the edge sample answer)
Answer:
7452
Step-by-step explanation:
Answer:
Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.
Step-by-step explanation: edge 2021
The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.
Answer:
b = 3.6
Step-by-step explanation:
Why was cuneiform important?
Answer:
It is important because it provides information about ancient Sumerian history and the history of humanity as a whole.
Step-by-step explanation:
Hope this helps.
Find the x-coordinate where the graph of the function f of x equals e raised to the power of negative 1 times x squared has a slope of 0.
0
negative square root of 2
the square root of 2
the square root of 2 over 2
Answer:
The square root of 2 over 2
Step-by-step explanation:
it’s for i ready. please help
Answer:
6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)
Step-by-step explanation:
1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.
6 × 1 = 66 × 2 = 126 × 3 = 186 × 4 = 246 × 5 = 30 6 × 6 = 36 6 × 7 = 426 × 8 = 48 6 × 9 = 54Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)
FAAASSSTTT II HAAVVEE 3 minutes
Answer:
A. 16 March
Step-by-step explanation:
1) f`(x)=-0.028x+0.448;
2) f`(x)=0, then -0.028x+0.448=0, then
3) x=16 is {max}.
4) answer March 16th.
if tiles cost $1.15 per square feet , how much would cost to tile aa rectangular room that is 13 feet by 15 feet ?
Answer:
224.25
Step-by-step explanation:
13x15x1.15
Choose the numbers to find the product shown by the model.
-
0.5 x ? = ?
Answers: (this one is for what it was multiplied by)
A) 0.01
B) 0.1
C) 1
D) 10
Answers to the question:
E) 0.005
F) 0.05
G)0.5
H)5
Answer: A F D G
Step-by-step explanation:
Tickets for a school concert were priced at $7 for students and $9 for non-students. There were twice as many student tickets sold as non-student tickets for a total of $3,220.
Answer:
number of non students=140, students=280
Step-by-step explanation:
let non students be x.
so according to condition, non students=x*9
students=2x*7
now,
2x*7+x*9=3220
so, x=140
It took 35 seconds for 5 songs to download to Rebecca’s computer. The next day, it took 42 seconds for 6 songs to download. Write an equation in point-slope form to represent the time y it took to download x songs.
NEEDS TO BE STEP BY STEP
The equation in point-slope form to represent the time y it took to download x songs is; (y - 35) = 7(x - 5)
Since it took 35 seconds for 5 songs to downloadand it took 42 seconds for 6 songs to downloadIn essence, we can represent the information as;
(5, 35) and (6,42)To find the slope of the equation; we have;
Slope, m = (42-35)/(6-5)m = 7In essence, the equation in point-slope form to represent the time y it took to download x songs is;
(y - 35) = 7(x - 5)Read more:
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