Answer:
6,12,18
Step-by-step explanation:
write the question as an equation
(1x)^3 + (2x)^3 + (3x)^3 = 7776
Simplify, rearrange and solve.
1x^3 +8x^3 + 27x^3 = 7776
36x^3 = 7776
x^3 = 216
x = 6.
Now, the numbers were= x, 2x, 3x = 6,12,18
Hope this helps
A city is located at a height of 138m above sea level while a town is at a height of 51m below sea level represent the altitude of the town using a negative number. Hence, find the difference in altitude between the city and the town
Answer:
The difference between city and town is 189m.
Step-by-step explanation:
A city is 138m above sea level and town is 51m below see level.
When finding the differences, you have to take the highest value and subtract the lowest value :
[tex]138 - ( - 51) = 138 + 51 = 189m[/tex]
If you can, please help answer this algebra question.
Answer:
R: {-7,-2,3,8}
Step-by-step explanation:
The range is the output values of the function
The values or 8,3,-2,-7
We put them in order from smallest to largest
R: {-7,-2,3,8}
Answer:
2nd option would be the answer
B
{y:y=-7,-2,3,8}
Step-by-step explanation:
If the perimeter of isosceles trapezoid ABCD is p, and , what is the value of y in terms of p ?
A. 5p/6
B. 7p/6
C. 3p/14
D. 3p/7
E. 10p/7
Answer:
Where is the picture?
Step-by-step explanation:
mZ3 = 64
m_4 = 106°
and
4
2
3
1
What is
mZ1,
Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
34:45:63 = x:90:126
What is x?
Answer:
x = 68
Step-by-step explanation:
If you divided 90 by 45, you can see that the 1st ratio has been multiplied by 2 to get the second ratio. To get x, simply multiply 34 by 2 and you should get 68
Answer:
68
Step-by-step explanation:
13 over 16 minus 3 over 8
Answer:
[tex]\frac{7}{16}[/tex]
Step-by-step explanation:
=> [tex]\frac{13}{16}-\frac{3}{8}[/tex]
LCM = 16
=> [tex]\frac{13-6}{16}[/tex]
=> [tex]\frac{7}{16}[/tex]
Answer:
7/16
Step-by-step explanation:
13/16 - 3/8
Lowest common multiple is 16.
= 13/16 - 6/16
Subtract the fractions.
= (13-6)/16
= 7/16
What is 5/40 as a decimal?
Answer:
0.125
Step-by-step explanation:
Simplified:
1/8
Answer:
0.125
Step-by-step explanation:
I’ll give brainliest to whoever helps me answer this question correctly.
Answer:
[tex]\sqrt[12]{x}^8[/tex], The 3rd answer
Step-by-step explanation:
When you exponent an exponent, you multiply the 2 exponents together.
Step 1: Rewrite [tex]\sqrt[3]{8}[/tex] to exponential form
[tex](8^{1/3})^{{1/4x}[/tex]
Step 2: Multiply exponents
[tex]8^{1/12x}[/tex]
Step 3: Rewrite as radical
[tex]\sqrt[12]{8}^{x}[/tex]
And we have our answer!
Answer:
[tex] \sqrt[12]{8}^x [/tex]
Step-by-step explanation:
[tex] \sqrt[3]{8}^{\frac{1}{4}x} = [/tex]
[tex]= (8^{\frac{1}{3}})^{\frac{1}{4}x}[/tex]
[tex] = 8^{\frac{1}{3} \times \frac{1}{4}x} [/tex]
[tex] = 8^{\frac{1}{12}x} [/tex]
[tex] = \sqrt[12]{8}^x [/tex]
The equation y= ax? describes a parabola. If the value of a is positive, which
way does the parabola open?
Answer:
upwards or to the right
Step-by-step explanation:
If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!
a hunter observes that the interval between a lightning flash and thunder clap that followed is 15 beat of his pulse. If his pulse rate is 75 per minute and sound in air is 330m/s, how far is the thunderstorm
Answer:
3600 m or 3.6 km
Step-by-step explanation:
The first thing is to take into account that the pulse rate is equal to 75 per minute, or what is the same as 75 beats per 60 seconds, then we must know how many seconds would be 15 beats:
15 beats * 60 seconds / 75 beats = 12 seconds
Therefore, we know that the velocity is equal to:
v = d / t
We know the time and the speed, therefore:
d = v * t
replacing
d = 300 * 12
d = 3600
is located at 3600 meters or 3.6 km
I will give you brainliest!!! Which equation describes the same line as y+5=3(x-6)?
Answer:
Step-by-step explanation:
y + 5 = 3x - 18
y = 3x - 23
The solution is A
Answer:
A. y=3x-23
Step-by-step explanation:
We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.
y+5=3(x-6)
First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).
y+5=3*x + 3*-6
y+5=3x-18
5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides
y+5-5=3x-18-5
y= 3x-18-5
y=3x-23
Therefore, the correct answer is A. y=3x-23
I WILL GIVE BRAINLIST enter the correct answer in the box. Write your answer in the form y=mx+b using the appropriate inequality symbol in place of the equal sign
Answer:
y > 4x + 1
Step-by-step explanation:
Look at the graph. The y-intercept is 1, so we have
y = mx + 1
Now let's find the slope.
Go from the intercept 4 units up and 1 unit to the right. You are at point (1, 5) which is a point on the graph.
slope = m = rise/run = 4/1 = 4
The equation of the dashed line is
y = 4x + 1
The shaded area is "above" the line, so the inequality is
y > 4x + 1
Answer:
y > 4x + 1
Step-by-step explanation:
Hope this is right.
Calculate the length of CD if the area of △BCD is 150 cm ²
Answer:
CD = 20 cm
Step-by-step explanation:
Area of Δ = 1/2(Base)(Height)
Where Height = 15, Area = 150
So,
150 = 1/2(CD)(15)
CD = [tex]\frac{150*2}{15}[/tex]
CD = 10*2
CD = 20 cm
Please answer within 5 minutes for brainliest!!!!
Answer:
y=4x-9
Step-by-step explanation:
If Jake does a job in 15 hours less time than Brianna, and they can do the job together in 10 hours, how long will it take each to do the job alone? It will take Jake ______ hours It will take Brianna _______ hours
Answer:
It will take Jake 0 hours and It will take Brianna 15 hours
Step-by-step explanation:
Let x be the no. of hours taken by Brianna to complete work alone
We are given that Jake does a job in 15 hours less time than Brianna
So,Jake work alone in hours =x-15
We are given that they can do the job together in 10 hours
So, [tex]\frac{1}{x-15}+\frac{1}{x}=\frac{1}{10}\\\frac{x+x-15}{(x-15)x}=\frac{1}{10}\\x=3,15[/tex]
So, Brianna complete work in 15 hours
So, Jake work alone in hours =x-15=15-15=0
So, It will take Jake 0 hours and It will take Brianna 15 hours
At a petrol station , a driver 83.5 liters of fuel at 18.63 birr per liter. What was the bill?
Answer:
1555.61 birrs
Step-by-step explanation:
Perform this operation:
83.5 liters 18.63 birr
---------------- * ----------------- = 1555.61 birrs This was the total amount
1 1 liter of the bill.
Answer:
1,555.605
Step-by-step explanation:
per liter is 18.63 and the driver got 83.5 liters
the bill is 18.63 × 83.5 = 1,555.605 if you are asked to approximate
it will give you 1,556
Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Answer:
D
Step-by-step explanation:
When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.
Answer:
D.) 16
Step-by-step explanation:
Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
solve the following 19+n=30
Answer:
n=11
Step-by-step explanation:
19+n=30
n=30-19
n=11
Answer:
n=11
Step-by-step explanation:
In order to solve this equation, we need to find out what n is. We have to get n by itself on one side of the equation. Perform the inverse operations to both sides of the equation.
19+n=30
19 is being added to n. The inverse of addition is subtraction. Subtract 19 from both sides.
19-19+n=30-19
n=30-19
n=11
Let's check out solution. Plug 11 in for n in the original equation.
19+n=30
19+11=30
30=30
The statement above is true, so we know our solution is correct.
-5(x - 1) = 2x - 7x + 5
Answer:
This is true! 1x=1
Step-by-step explanation:
So let's rewrite the question again.
-5(x - 1) = 2x - 7x + 5
So we will solve from left to right.
-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.
-5(x - 1) = -5x+5
2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.
2x - 7x + 5 = -5x+5
Now, here is the equation that we have so far.
-5x+5 = -5x+5
+5x +5x
----------------------
5=5
-5 -5
0=0
So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:
All Real Numbers
What is the simplified form of the following expression? Assume x not-equals 0. RootIndex 5 StartRoot StartFraction 10 x Over 3 x cubed EndFraction EndRoot
Answer:
[tex]\dfrac{\sqrt[5]{810x^3}}{3x}[/tex]
Step-by-step explanation:
As a rule, the "simplified form" means there are no fractions under a radical.
[tex]\sqrt[5]{\dfrac{10x}{3x^3}}=\sqrt[5]{\dfrac{10x(3^4x^2)}{3x^3(3^4x^2)}}=\sqrt[5]{\dfrac{810x^3}{(3x)^5}}=\boxed{\dfrac{\sqrt[5]{810x^3}}{3x}}[/tex]
Answer:
D on Edge
Step By Step Explination:
I did the test
Mr Frank purchased 5_1/4 pounds of rocks. He used 3/5 of a pound on one aquarium. He then split the rest of the rocks between his three remaining aquariums. How many rocks will be in one aquarium?
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
What is the distance on a Cartesian coordinate plane from (1, -1) to (7, 7)?
Answer:
10
Step-by-step explanation:
Use the distacne forumla to find the differnece between the two points.
8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5
Step-by-step explanation:
8-4(-x + 5)
8 + 4x - 20
4x - 12
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
Answer:
Option B
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = [tex](\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})[/tex]
OP.Cosθ = 1×Cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]
Cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]
θ = [tex]\frac{\pi }{4}+2\pi n[/tex], [tex]\frac{7\pi }{4}+2\pi n[/tex] where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -[tex]\frac{1}{\sqrt{2}}[/tex]
Sinθ = -[tex]\frac{1}{\sqrt{2} }[/tex]
θ = [tex]\frac{5\pi }{4}+2\pi n[/tex], [tex]\frac{7\pi }{4}+2\pi n[/tex] where n = integer
Common value of θ will be, θ = [tex]\frac{7\pi }{4}[/tex]
Option B will be the answer.
What is the solution to the system of equations?
Answer:
(7, 13/3)
Step-by-step explanation:
[tex]y=\frac{1}{3} x+2\\[/tex] Line up the equations on top of each other
[tex]y=\frac{4}{3} x-5[/tex]
[tex]-4*[y=\frac{1}{3} x+2][/tex] Multiply the top equation by [tex]-4[/tex] in order to cancel out the [tex]x[/tex] variable
[tex]-4y=-\frac{4}{3} x-8[/tex] Switch out the first equation for this one
[tex]-4y=-\frac{4}{3} x-8[/tex] Line up the equations
[tex]y=\frac{4}{3} x-5[/tex]
[tex]-3y=-13[/tex] Add the two equations top to bottom, left to right
[tex]y=\frac{13}{3}[/tex]
Now that you've found [tex]y[/tex], you need to find [tex]x[/tex]. Just plug in the y-value to either of the equations in Step 1:
The first equation has smaller numbers, so let's use that one.
[tex]\frac{13}{3} =\frac{1}{3} x+2[/tex]
To make it easier you can multiply all the terms in the equation by 3:
[tex]13=x+6[/tex]
[tex]7=x[/tex]
The [tex]x[/tex]- and [tex]y[/tex]- values together give a solution of ( [tex]7[/tex], [tex]\frac{13}{3}[/tex] )
Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. Write an expression for how many pieces each child received. A. 7−c3 B. C−73 C. C−73 D. 7−c3
Answer : The expression will be
( c - 7 ) / 3
Step-by-step explanation:
Let's say Adam has c pieces of candy
He took ten pieces for himself which means we can write this as c-7
He then divided this amount between his 3 children (c-7)/3
A swimming pool is open for 7\dfrac127 2 1 7, start fraction, 1, divided by, 2, end fraction hours during a day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift is 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction hours long. How many shifts are there per day?
Answer:
5 shifts
Step-by-step explanation:
The pool is open for 7 1/2 hours (15/2 hours) per day.
Each lifeguard shift lasts for 1 1/2 hours (3/2 hours).
To get the number of shifts per day, we divide the total hours that the pool is open by the time of each lifeguard shift:
[tex]\frac{15}{2} / \frac{3}{2} \\\\= \frac{15}{2} / \frac{2}{3} \\\\ = 5[/tex]
There are 5 lifeguard shifts per day.
Answer:
5
Step-by-step explanation:
Evaluate 5 12 × 3 4 Give your answer in its simplest form.
Answer:
5/16
Step-by-step explanation:
5/12 × 3/4
Multiply.
15/48
Simplify.
5/16
A bag contains green yellow and orange marbles the ratio of green marble to yellow marble is 2 : 5 the ratio of yellow arbles to orange marbles is 3 : 4 what is the ratio of green marbles two orange marbles
Answer:
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Step-by-step explanation:
Let G, Y and O represent green, yellow and orange marbles respectively.
Given;
the ratio of green marble to yellow marble is 2 : 5
G:Y = 2:5
G/Y = 2/5
the ratio of yellow arbles to orange marbles is 3 : 4
Y:O = 3:4
Y/O = 3/4
the ratio of green marbles to orange marbles G:O;
G/O = G/Y × Y/O
Substituting the values;
G/O = 2/5 × 3/4
G/O = 3/10
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Can someone help me with this please
Answer:
4.25
Step-by-step explanation:
Answer:
m = 4.25
Step-by-step explanation:
8/5 = 2/(m - 3)
Cross multiply.
8(m - 3) = 2 * 5
8m - 24 = 10
8m = 34
m = 4.25