Find the number, if 9/4 of it is 27
Answer:
12
Step-by-step explanation:
Let the required number be x
[tex] \frac{9}{4} \times x = 27 \\ \\ x = 27 \times \frac{4}{9} \\ \\ x = 3 \times 4 \\ \\ x = 12[/tex]
Answer:
I think 12 is the answer...
Step-by-step explanation:
27/1 divided by 4/9 (Multiply by the recipricol).
27/1 multiplied by 9/4 (Cross multiply/Use the butterfly method).
= 12/1 or 12
I hope this helps.
Jerrod drove 210 miles in 3 hours. Martin drove 244 miles in 4 hours. Who drove at the fastest rate of speed and by how much?
Answer:
Jerrod drove at the fastest rate of speed which is 70 km/ph.
Step-by-step explanation:
I hope this is what u wanted.
Explain the differences between properties of equality
and properties of inequality when solving equations and
inequalities.
Answer:
In algebra, an equation is a mathematical expression that contains an equals sign. ... An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression.
Step-by-step explanation:
Kristi gets $10 a week from her parents if she washes the dishes after dinner every night. Kristi has saved up $30 over the last few weeks from her allowance. She wants to continue saving her allowance until she has enough money to buy the $7o bike she saw at the store last week. Assuming Kristi receives her allowance every week, write an equation that shows how many more weeks Kristi has to save her allowance to buy the bike, where w is the number of weeks. You can solve the equation to check your answer.
Answer: She needs to save her allowance for another 4 weeks.
Step-by-step explanation:
She starts with $30, and for each week that she saves her allowance, she gets another $10. If she saves for "w" weeks, she has:
$30 + w*$10
And she wants to have $70
$30 + w*$10 = $70
We can solve this:
$30 + w*$10 = $70
w*$10 = $70 - $30 = $40
w = $40/$10 = 4
Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the
number of hours she works, how many hours would she need to work to earn an
additional $260?
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
[tex]A\propto t[/tex]
[tex]A=kt[/tex] ...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
[tex]54.60=k(6)[/tex]
Divide both sides by 6.
[tex]\dfrac{54.60}{6}=k[/tex]
[tex]9.1=k[/tex]
Put k=9.1 in (i).
[tex]A=9.1t[/tex]
Substitute A=260 in the above equation.
[tex]260=9.1t[/tex]
Divide both sides by 9.1.
[tex]\dfrac{260}{9.1}=t[/tex]
[tex]28.5714=t[/tex]
[tex]t\approx 29[/tex]
Therefore, she need to work extra about 29 hours to earn an additional $260.
Please can someone help me
Answer:
A, C ,E
Step-by-step explanation:
what is 3 1/2 minus 1 1/2
Answer:
the answer is 2! :)
Step-by-step explanation:
Solve for y: 0.3y - 2 > 7
Answer:
Y > 30
Step-by-step explanation:
En el estante de un negocio hay 2 tipos de tarros de la misma mermelada y marca. El tarro más alto tiene el doble de altura que el otro, pero su diámetro es la mitad del diámetro del otro. El tarro más alto vale $4.500 y el más bajo $8.000, ¿ cuál es la mejor compra ? help
Answer:
tarro corto
Step-by-step explanation:
Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.
[tex]h_1[/tex] = Altura del frasco corto
[tex]h_2[/tex] = La altura del frasco alto es el doble que el del frasco corto. = [tex]2h_1[/tex]
[tex]d_1[/tex] = Diámetro del frasco corto
[tex]d_2[/tex] = El diámetro del frasco alto es la mitad del frasco corto = [tex]\dfrac{1}{2}d_1[/tex]
El volumen de un cilindro es [tex]\pi \dfrac{d^2}{4}h[/tex]
La razón de los volúmenes de los frascos es
[tex]\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2[/tex]
El costo del frasco corto por unidad de volumen es
[tex]\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}[/tex]
El costo del frasco alto por unidad de volumen es
[tex]\dfrac{4500}{V_2}=\dfrac{4500}{V_2}[/tex]
[tex]\dfrac{4000}{V_2}<\dfrac{4500}{V_2}[/tex]
Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.
Por lo tanto, deberíamos tomar el frasco corto.
Simplify this terms
Given that 1 gallon = 16 cups, find the missing quantity below 24 gallons =. Cups?
Answer:
384
Step-by-step explanation:
You multiply 16 by 24 and that equals 384. Good luck and have a great day!
The automaker of your new car recommended an oil change following the 5,000 miles and then every 3,000 miles thereafter.if you plan to drive the car 250 miles a week, how many oil changes will you need the first year?
Answer:
3 oil changes
Step-by-step explanation:
1. Find an equation that represents this word problem: 3000x + 5000 = y
Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.
2. Solve for x: 3000x + 5000 = 13000 3000x=8000
3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year
First, rewrite 5/9 and 11/21 so they have a common denominator. Then, use to order 5/9 and 11/21.
5/9 and 11/21
LCM of the denominators is 63
changing their denominators to all have a common denominator of 63:
5(7)/63 = 35/63
11(3)/63 = 33/63
from the above;
5/9 > 11/21.
Use the distributive property and combine like terms to simplify:
-5(x + 4) + 8
a
-5x - 28
b
-5x + 12
c
-5x - 12
d
-5x + 28
Answer:
-5x - 12
Step-by-step explanation:
-5(x + 4) + 8
-5x - 20 + 8
-5x - 12
Evaluate 8 + 3e when e = 2.
Answer:
14
Step-by-step explanation:
8+3e plug in 2
8+32 Multiply 3 and 2.
8+6=14
two times a number added to -4, subtracted from triple the sum of eight times the number and five
Answer:
2x+(-4)-8x(3)-5
Answer:
-22a-9
Step-by-step explanation:
2a+(-4)-3(8a+5)
2a+4-24a-15
2a-24a+4-15
-22a-9
Which of the following pairs of lines are perpendicular?
y=3x-4 and y=-1/2 x-5
y=1/2 and y=2x-1
y=x and y=-x
Please help with this. 60 points for this!
Answer:
y=x y=-x
Step-by-step explanation:
Answer:
y= 12x4
Step-by-step explanation:
i have a degree for this stuff
What is a commission, as it relates to the stock market? a. The act of making stock available to buy b. A request to buy a specific kind of stock c. Profit made from selling stock d. A fee paid to a broker for making a trade Please select the best answer from the choices provided A B C D
Answer:
D. A fee paid to a broker for making a trade
Step-by-step explanation:
Commission in stocks is simply a brokerage fee that is charged when one wants to buy or sell stocks.
It is also known as trading fee and could be charged when buying and selling other investments, like exchange traded funds.
Thus, correct answer is option D.
Answer:
d
Step-by-step explanation:
A cell phone plan costs $150 to start, Then, thero is a $50 charge each month. What is
the total cost, y, for x months? Which equation match this situation Y=150-50x. Y=50x+150. Y=150x+50. -50x+150=y
Answer:
Y = 50x + 150
Step-by-step explanation:
50 per month (x = unknown number of months) === 50x
$150 is the starting charge (automatic +150)
Y = total cost
Y = 50x + 150
Can anyone help me with this?
Answer:
B
Step-by-step explanation:
it says each month and i think i saw 35 as the first month so n would go behind it so yea
25 POINTS PICTURE INCLUDED PLEASE ANSWER I NEED HELP
What expression represents the value of v?
Answer:
that is an obtuse angle and mixed with an aacute, you answer should be 45 or 50 degrees please correct me if im wrong.
Step-by-step explanation:
Find the next number in the sequence.
25, 36, 49, 64, ...
Answer:
81
Step-by-step explanation:
25, 36, 49, 64, ...
36 - 25 = 11
49 - 36 = 13 = 11 + 2
64 - 49 = 15 = 13 + 2
64 + 15 + 2 = 81
An astronaut is returning to Earth in a spacecraft. If the spacecraft is descending at a rate of 13.81 kilometers per minute, what will be its change in height after 512 minutes? Round your answer to the nearest kilometer.
Answer: 37.07 km
Step-by-step explanation: you would divide 512 by 13.81 to get the answer.
Answer:
Step-by-step explanation:
One purpose of General T.Sherman's march to the sea was to
a) break the spirits of confederate citizens
b) allow troops under his control to get rest
c) find ships and sail his soldier's to the north
d) prove that he was the most skilled union general
Answer:
A
Step-by-step explanation: He slashed across the South destroying farms and land in a scorched Earth tactic, which was really damaging to the South because the land they had was all they had.
It's not B because they didn't need rest, he wasn't sailing North so it's not C, and he didn't have anything to prove himself as a skilled general, he already was a skilled general.
Draw the following graph on the interval −195∘
:
y=cos(x)+2
What is the amplitude of the function?
What is the period of the function?
y=cos(x)+2
What is the amplitude of the function?
What is the period of the function?
There are 50 puddles on 10 orange blossoms. each blossom has the same number of petals. how many petals are on one blossom?
a) Given g(x) = 4x – 3, what function h(x) would represent a downward shift by two units? Show your solution.
b) Sketch the original function g(x) =4x -3 and the new function that you got from letter a.
Reflect g(x) = x3 + x2 - 3x - 1 across the y -axis. What is the new function and show your work?
a) The solution to the transformation of the function is h ( x ) = 4x - 5
b) The reflection of function g ( x ) over y axis is f ( x ) = -x³ + x² + 3x - 1
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as g ( x )
Now , the value of g ( x ) = 4x - 3
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
On transformation of the function by a vertical shift of 2 units , we get
h ( x ) = g ( x ) - 2
Substituting the values in the equation , we get
h ( x ) = 4x - 3 - 2
h ( x ) = 4x - 5
So , the transformed function is h ( x ) = 4x - 5
b)
On reflecting the function g ( x ) over y axis , f ( x ) = g ( -x )
Substituting the value of x as -x in the function , we get
g ( -x ) = ( -x )³ + ( -x )² - 3 ( -x ) - 1
So , f ( x ) = -x³ + x² + 3x - 1
Hence , the transformed function is h ( x ) = 4x - 5
To learn more about transformation of function click :
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JASON BASEBALL TEAM SCORES 6 RUNS EVERY 2 INNINGS. WHAT IS THE RATIO OF RUNS TO INNINGS.
Answer:
6:2
Step-by-step explanation:
simple math ... then u simplify and the answer is 3:1
Question 2 help please
Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
In any triangle, the sum of the measures of its interior angle is 180°In the isosceles triangle, the two base angles are equal in measures∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
Can you construct a triangle that has side lengths 2 in., 3 in., and 6 in. ?
no
yes
