We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply
1/12 divided by 1/6 = 1/12 * 6/1
-------
From here we multiply straight across.
The numerators multiply to get 1*6 = 6
The denominators multiply to 12*1 = 12
We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6
Final Answer: 1/23x–7x=60
Solving linear equations
Answer:
x = -15
Step-by-step explanation:
3x–7x=60
Combine like terms
-4x = 60
Divide by -4
-4x/-4 = 60/-4
x = -15
Answer: x=-15
Step-by-step explanation:
3x -7x =60
-4x = 60
x= -15
Can someone help me on this I’m stuck pleaseee anyone
Answer:
1a. 0 pounds of grapes costs 0 dollars.
1b. 1 pound of grapes costs 3 dollars.
2a. There are 0 batteries in 0 packs of batteries.
2b. There are 10 batteries in 1 pack of batteries.
I need to know quick so i would rly apriciate help, if you do a answer and the work ill give u a brainliest!!!
Answer:
6
Step-by-step explanation:
Let the two integers be a and b.
The difference of them is 26. Thus:
[tex]a-b=26[/tex]
One of them (let's use a) is 2 more than 5 times the other. Thus:
[tex]a=2+5b[/tex]
Substitute:
[tex]a-b=26\\(2+5b)-b=26[/tex]
Combine like terms:
[tex]4b+2=26[/tex]
Subtract 2 from both sides:
[tex]4b=24[/tex]
Divide by 4:
[tex]b=6[/tex]
And the second number is:
[tex]a-b=26\\a-6=26[/tex]
Add 6 to both sides:
[tex]a=32[/tex]
So, our two numbers are 32 and 6
And the smaller integer is 6.
And we're done :)
Answer:
The smaller intrger is:
6
Step-by-step explanation:
a = 5b + 2
a - b = 26
then:
(5b+2) - b = 26
4b = 26 - 2
4b = 24
b = 24/4
b = 6
a = 5b + 2
a = 5*6 + 2
a = 30 + 2
a = 32
Check:
32-6 = 16
32 = 5*6 + 2
32 = 30 + 2
6<32
the smaller integer is:
6
please help. i need part b on 66, 68 and 70!
Step-by-step explanation:
Use the function to find the coordinates of the endpoints. Find the slope between those points, then use point-slope form to write the equation. If you wish, you can simplify to slope-intercept form.
For example, #66:
f(2) = -4(2) + 1 = -7
f(5) = -4(5) + 1 = -19
So the endpoints of the secant line are (2, -7) and (5, -19). The slope between those lines is:
m = (-19 − (-7)) / (5 − 2)
m = -12 / 3
m = -4
The equation of the line in point-slope form is:
y − (-7) = -4 (x − 2)
y + 7 = -4 (x − 2)
Simplifying:
y + 7 = -4x + 8
y = -4x + 1
f(x) is a line, so unsurprisingly, the secant line connecting two points on that line has the same equation.
Let's try #68:
g(2) = (-1)² + 1 = 2
g(5) = (2)² + 1 = 5
So the endpoints of the secant line are (-1, 2) and (2, 5). The slope between those lines is:
m = (5 − 2) / (2 − (-1))
m = 3 / 3
m = 1
The equation of the line in point-slope form is:
y − 2 = 1 (x − (-1))
y − 2 = x + 1
Simplifying:
y = x + 3
hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?
The word in the problem that indicates that a negative sign should be used is "descend".
How many meters did he descend?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
We know that he stops for water breaks four times, and between each water break, he descends 15 meters.
The written equation is:
4 x (-15)m = -60m
The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"
To know more about Expression follow
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simplify 5to the negative power of 3
Answer:
1/5 to to the third makes it 1/125
Step-by-step explanation:
Answer:
0.008
Step-by-step explanation:
5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008
or could be calculated like this
1 ÷ (5 × 5 × 5) = 1/53 = 1/125 = 0.008
15 more than ten times a number equals 60. What is the number?
Answer:
4.5
Step-by-step explanation:
Let the number be x, then:
10x + 15 = 6010x = 60 - 1510x = 45x = 45/10x = 4.5The number is 4.5
Answer:
4.5
Step-by-step explanation:
let the number be x , then
10x + 15 = 60 ( subtract 15 from both sides )
10x = 45 ( divide both sides by 10 )
x = 4.5
The number is 4.5
Making a round trip from Fairview to Cartersville, a distance of 20 miles, a pilot faces 30 mph head wind one way and 30 mph tail wind on the return trip. The return trip takes 45 minutes less than the outbound journey. Find the speed of the plane in still air
Answer:
50mph
Step-by-step explanation:
Given the following :
Distance (d) of journey = 20 miles
Wind speed = 30mph head wind in one way, 30mph tail wind in the other direction
Return trip = 45 minutes (45/60 = 0.75 hour) less Than the outbound journey
Speed of plane in still air
Outbound trip :
Velocity = Distance / time
Time = distance / velocity
Velocity = (v - 30) due to head wind
Return Velocity (V +30) due to tail wind
Outbound time = return distance
20 / (v - 30) = 20 / (v +30) + 0.75
20v + 600 = 20v + 0.75v^2 + 22.5v - 600-22.5v-675
600 = 0.75v^2 - 1275
0.75v^2 = 1875
v^2 = 1875/ 0.75
v^2 = 2500
v = sqrt(2500)
v = 50mph
PLSSSS help me!! will give branliest to whoever answers with work! Jake wants to buy a skateboard but does not know if you have enough money. The price of the skateboard is $85 and the sales tax is 6%. what would be the total cost of the skateboard???
Please help me solve this question,
Answer:
D is true
Step-by-step explanation:
count AB then Count BC and add them together
and then it equals the same amount as AC
Find AB.
69
20
19
Is a quizizz
Answer:
imma guess 19 but im not sure
what is 80.2 in standard form??
Step-by-step explanation:
8.02 X 10².............
A cyclist rides his bike at a rate of 15 miles per hour. what is this rate in miles per minute? how many miles will the cyclist travel in 20 minutes? do not round your answers.
Answer:
15 miles/hour = 0.25 miles/minute
The cyclist would have traveled 5 miles in 20 minutes.
Step-by-step explanation:
15 miles per hour is written as
15 miles/hour
To convert 15 miles/hour to miles/minute
From 1 hour = 60 minutes
∴ 15 miles/hour = 15 miles/ 60 minutes
= (15/60) miles/minute
= 0.25 miles/minute
To calculate how many miles the cyclist will travel in 20 minutes
That is, Time, t = 20 minutes
Velocity, v = 15 miles/hour = 0.25 miles/minute
Distance, s = ??
From,
[tex]Velocity = \frac{Distance}{Time}\\[/tex]
∴[tex]Distance = Velocity[/tex] × [tex]Time[/tex]
[tex]Distance = 0.25 miles/minute[/tex] × [tex]20 minutes[/tex]
[tex]Distance = 5 miles[/tex]
Hence, The cyclist would have traveled 5 miles in 20 minutes.
is 14 times 10 to the power of 8 in scientific notation?
Answer: NO
Step-by-step explanation:
14 × 10^8 is not in scientific notation
scientific notation: a×10^b, where should be 0<a<10
As seen above, 14 is greater than 0, but also greater than 10, thus, it is not in scientific notation.
------------------
EXTRA: How to change it into proper scientific notation
To change it into scientific notation, we need to divide 14 by 10, do get 1.4. (or just move the decimal point to the left by 1 unit)
1.4 is within the range of 0-10.
1.4 × 10^9 (remember, we just divided 14 by 10, and so we need to add on the exponent by 1)
Hope this helps!! :)
Please let me know if you have any question
What is 10x + 32y if y = 3, and x = 9.
Answer:
186
Step-by-step explanation:
10×9+32×3
90+96
=186
HOPE THIS HELP YOU
Answer: Hi!
First we will substitute the variables and then solve the equation.
The equation will look like this after we substitute:
10(9) + 32(3)
We will multiply:
(90) + (96)
We will add:
186
This equation is equal to 186.
Hope this helps!
Simplify the following. (the answer is not 0)
4[5+ 206-2 * 3)] - 5[4(16= 4-12 = 4) - 4 + 2]
Select the correct response:
30
15
50
10
Answer:10
Step-by-step explanation:
4[5+2(6-6)]-5[4(4-3)-4+2]=20-5[4-2]=10
Answer:
10
Step-by-step explanation:
4[5+2(6-2*3)]-5[4(16÷4-12÷4)-4+2]
4[5+2(6-6)]-5[4(4-12÷4)-4+2]
4[5+2(6-6)]-5[4(4-3)-4+2]
4[5+2(0)]-5[4(1)-4+2]
4[5+0]-5[4-4+2]
4[5]-5[0+2]
4[5]-5[2]
20-5[2]
20-10
10
What are the 2 inequality?
if a cone and a cylinder have the same radius and the perpendicular height of the cone is twice that of a cylinder find the ratio of the volume
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
Find the greatest common factor (GCF)
please help –8 = c /9 c=
Hey there! I'm happy to help!
We want to get c all by itself on one side of the equation. Usually variables go on the left side, so let's flip the equation around.
c/9=-8
If we multiply c/9 by 9, the 9 will cancel out because if you divide by 9 and then multiply by 9 it just equals 1. We can do this to isolate the c, but whatever you do to one side of the equation, you have to do to the other. So, we multiply both sides by 9.
c/9×9=-8×9
c=-72
Have a wonderful day! :D
Answer:
c = -72
Step-by-step explanation:
Multiply each side by 9, so it now looks like this: -72 = cI hope this helps!
A friut stand sells watermelons during the summer. The revenue for selling x watermelons is given by f(x)=2.5x. The team's profit is $25 more than 60% of the revenue for selling x watermelons. Write a funcction g to model the profit. Then find the profit for selling 44 watermelons.
Answer:
$91
Step-by-step explanation:
f(x) = 2.5 x
$25 more would + $25 to the function
60% = .6
Revenue is f(x) = 2.5x which we have to multiply by the .6
g(x) = $25 + .6 (2.5 x)
If we have 44 watermelons then we plug in 44 for x
x = 44
g(x) = $25 + .6 (2.5*44)
g(x) = $25 + .6 (110)
g(x) = 25 + 66
g(x) = $91
The profit is $91
Solve the linear equation. X + 5 = -2
Answer:
[tex]x=-7[/tex]
Step-by-step explanation:
So we have the equation:
[tex]x+5=-2[/tex]
To solve, subtract 5 from both sides. This is the subtraction property of equality:
[tex](x+5)-5=(-2)-5[/tex]
The left side cancels:
[tex]x=(-2)-5[/tex]
Subtract on the right.
[tex]x=-7[/tex]
So, our answer is -7.
16 2/3 % as a fraction
Answer: it will be 1/6
Step-by-step explanation:
What is 2/3 divided by 6/5
Need help ASAP!
Should be simple geometry but I’m brainless
x = 6 and KL = 32
First off, you're not brainless, your brain needs practice that's all.
Since L is the midpoint of the line KM, that means KL = LM
KL [tex]= 5x + 2[/tex]
LM [tex]= 9x - 22[/tex]
KL = LM
[tex]5x+2=9x-22\\5x=9x-24\\-4x=-24\\x=\frac{-24}{-4} \\x=6[/tex]
KL [tex]= 5x + 2[/tex], substitute [tex]x[/tex]:
KL [tex]=5(6)+2[/tex]
KL [tex]= 30 + 2[/tex]
KL [tex]= 32[/tex]
let's also find LM just for fun
LM [tex]= 9x-22[/tex], substitute [tex]x[/tex] again:
LM [tex]= 9(6) -22[/tex]
LM [tex]=54-22[/tex]
LM [tex]=32[/tex]
this proves that KL = LM
(-r^2 + 8pr - p) - (-12r^2 - 2pr + 8p)
Answer:
11r^2+10pr-9p i think
Step-by-step explanation:
On simplifying the expression we get 11r²+10pr-9p
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here, -r²+8pr-p-(-12r²-2pr+9p) = -r²+12r²+8pr+2pr-10p
=11r²+10pr-9p
Hence, On simplifying the expression we get 11r²+10pr-9p
Learn more about like and unlike terms here:
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Darnell is 5 times 3 less then Kortez age. Darnell is 40 how old is Kortez?
subtract. −11− (−13) A. -24 B. -2 C. 2 D.24
For the equation, 2x + 6 = 3x - 10, what is the solution
Answer: x=16
Step-by-step explanation:
[tex]2x+6=3x-10[/tex]
Subtract 6 on both sides
[tex]2x+6-6=3x-10-6[/tex]
[tex]2x=3x-16[/tex]
Subtract 3x on both sides
[tex]2x-3x=3x-16-3x[/tex]
[tex]-x=-16[/tex]
Divide -1 on both sides
[tex]\frac{-x}{-1}=\frac{-16}{-1}[/tex]
[tex]x=16[/tex]
during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score? (there were no 1-point free throws)
Answer:
Ok, let's define the notation:
A is the number of 2-point field goals that your team scored.
B is the number of 3-point field goals that your team scored:
We know that:
" your team scored three times as many 2-point field goals than it did 3-point field goals,"
This can be written as:
A = 3*B
" And scored a total of 90 points."
A*2 + B*3 = 90
Then we have a system of two equations and two variables:
A = 3*B
A*2 + B*3 = 90
Now we can replace the first equation into the second one and get:
(3*B)*2 + B*3 = 90
B*6 + B*3 = 90
B*9 = 90
B = 90/9 = 10
And we know that:
A = 3*B
A = 3*10 = 30
Then your team scored 30 2-point field goals and 10 3-point field goals (a total of 40 if you combine them)