Solve the equation.
4(x + 6) = 2(2x + 12)
Answer:
0
Step-by-step explanation:
Answer:
All Real Numbers
Step-by-step explanation:
[tex]4(x + 6) = 2(2x + 12)[/tex]
divide both sides by 2
[tex]2(x + 6) = 2x + 12[/tex]
[tex]2x + 12 = 2x + 12[/tex]
this is enough to prove that it's all real numbers, but it can be simplified even more
[tex]2x=2x[/tex]
subtract 2x from both sides
[tex]0=0[/tex]
0 will always equal 0, so x is all real numbers
a line with a slope of 1 passes through the point (-7,-5). what is its equation in slope- intercept form? (y=mx+b)
Answer:
y = x + 2Step-by-step explanation:
Equation of line with a given slope of a and containing a given point (x₀, y₀):
y - y₀ = a(x - x₀)
a = 1, x₀ = -7, y₀ = -5
Therefore:
y - (-5) = 1(x - (-7))
y + 5 = x + 7
y = x + 7 - 5
y = x + 2
a telephone booth 7 ft tall casts a shadow 20 ft long. At the same time, a nearby fire hydrant casts a shadow 8 ft long. Find the height of the fire hydrant
Answer:
2 4/5 feet
Step-by-step explanation:
let 'x' = height of fire hydrant
7/20 = x/8
cross-multiply:
20x = 56
x = 56/20 or 14/5, which is 2 4/5
Which of the following is equivalent to 5 · (7 · 4)? *
A. 35
B. (5 · 7) · 4
C. 5 · (4 · 4)
D. 5 + (7 + 4)
Please help me with these questions guys
Answer:
6m
Step-by-step explanation:
You need to use trigonomtery: SOHCAHTOA
Since we are looking for the height, we should use the Sine rule:
Sine(37) = opposite/hypotenuse
We already have our hypotenuse which is 10
sine(37) = opposite/10m
Now we re-arrange to find the opposite(which is our height)
opposite = 10m x sine(37)
opposite = 6.018
Therefore height = 6 to the nearest metre
Hope this helps :)
On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?
A coordinate plane is shown. Point A is in quadrant 1, point B is in quadrant 2, point C is in quadrant 3, and point D is in quadrant 4.
A
B
C
D
Answer:
B
Step-by-step explanation:
Quadrant 1 is (+,+), quadrant 2 is (-,+), quadrant 3 (-,-), and quadrant 4 is (+,-).
with three cans of paint u can paint 2 walls with 2 layers. How many cans do u need to paint 10 walls with 3 layers?
Answer:
22.5 cans of paint
Step-by-step explanation:
[tex]n=3*10*\frac{3}{2*2} =30*\frac{3}{4} =22.5 cans[/tex]
Answer:
You need 22.5 cans of paint to paint 10 walls with 3 layers.
Step-by-step explanation:
[tex]\frac{3}{2*2}[/tex] = 0.75 (Represents how many cans of paint it takes to paint 1 wall with 1 layer)
0.75 * 10 * 3 = 7.5 * 3 = 22.5 (The number of paint needed for 1 wall with 1 layer multiplied by 10 walls with 3 layers to get the total amount of paint needed)
A concert was recently held at the civic auditorium. All 5000 tickets were sold. a. 25% of the tickets were reserved seats that sold for $45 each. What was the total amount in sales for the $45 tickets?
Answer:
$56,250 is the answer.
Step-by-step explanation:
Hope this helps!!!!!!!
⚠️I NEED HELP PLEASE⚠️
Fcator: x^2-18x+72=0
*work please*
Answer:
x = 12, 6
Step-by-step explanation:
Factor using the AC method.
Consider the form x² + bx + c. Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 72 and whose sum is -18.
-12, -6
Write the factored form using these integers.
(x - 12)(x - 6) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 12 = 0, x = 12
x - 6 = 0, x = 6
i hope this helps, good luck :)
help quick please !!
Answer:
Option c = [tex]\sqrt[9]{3}[/tex]
Step-by-step explanation:
One side = 18
Bottom side = 18 (equalateral triangle)
we can use phytagorues theorum:
a = the altitude (unknown)
b= one side (half of the bottom side) = 18/2 = 9
c = hypothenus = 18 (given)
a^2 + b^2 = c^2
a^2 + 9^2 = 18^2
a^2 = 18^2 - 9^2
a^2 = 243
a = [tex]\sqrt{243}[/tex] = [tex]\sqrt{ 3 x 3 x 3 x 3 x 3 }[/tex] = [tex]\sqrt[9]{3}[/tex]
I hope im right !!!i
8 + Зу = 8 +4y
PLEASE HELP
Answer:
16+7y
Step-by-step explanation: More info please. To me it looks like you are adding common factors.
Last weekend, Mia ran 5% of a mile and Terrel ran 5/15 of a mile. Who ran a
larger portion of a mile? *
Answer:
Terrel ran a larger portion of mile
Step-by-step explanation:
5% of a mile is approximately
0.05 miles
5/15 of a mile is approximately
0.33 miles
so Mia ran 0.05 miles, Terrel ran 0.33 miles
Find it the value of x.
Answer:
x=18
Step-by-step explanation:
100 and (5x+10) are congruent (vertical angles theorem)
5*18+10=100
A mountain bike originally priced at $960.00 is up for sale at a discount of 14%. What is the price of the mountain bike after the discount?
Answer:
$825.60
Step-by-step explanation:
Since the price of it is $960.00, it means that it's 100%.
100% = 960
1% = 960 ÷ 100 = 9.6
14% = 9.6 x 14 = 134.40
Since they asked for after the discount, deduct the price of the discount with the original price.
Mountain bike after 14% discount =
960 - 134.40 = 825.60
can you find the area for this?
Answer:
[tex]74.88yd^{2}[/tex]
Step-by-step explanation:
[tex]A=9.6*4.7+2*.5*9.6*(\frac{10.9-4.7}{2} )=74.88yd^{2}[/tex]
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proofs.
Given: Points R, S, T, Q on circle O
Prove: mRS + mST + mTQ = mRQ
Answer:
Match the number of statement with the same number of reasons.
Step-by-step explanation:
Here are the statements
1.
Points R, S, T, Q on circle O
2.
measure of RS+ST=RT
measure of RT+TQ=RQ
3.RS+ST+TQ=RQ
Here are the reasons
1.Given
2. Arc Addition
3. Subsitution
Please Help File Is Attached
Answer:
x=25
10= 125
Step-by-step explanation:
2/50 is the answer to find 1
so 1= 25
and x means 1
to find 10 u multiply 25 with 10
hope i help its hard to explain but hope its well explained :)
Can you simply these fractions?
1. Maggie keeps track of daily bird sightings. The table below shows the number and type of swans that were seen in one day. What percent of the swans were mute swans? Round your answer to the nearest tenth of a percent.
Answer:
hello! i just did this problem and the answer is 12.2%
Step-by-step explanation:
first we need to add all of the swans together, then from there you take the amount of mute swans and divide it by the sum of all the swans! finally, multiply by 100 to convert into a percent and round it to 12.2%
hope this helped plz give me brainliest! <3
The solution is 12.2 %
The percentage of mute swans is given by the equation A = 12.2 %
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage of mute swans be represented as A
Now , the equation will be
Let the total number of swans be S
The number of mute swans = 5 swans
The number of Trumpeter swans = 34 swans
The number of Tundra swans = 2 swans
So , the total number of swans S = 5 + 34 + 2 = 41 swans
And , the percentage of mute swans A = ( number of mute swans / total number of swans S ) x 100
Substituting the values in the equation , we get
The percentage of mute swans A = ( 5/41 ) x 100
On simplifying the equation , we get
The percentage of mute swans A = 0.1219 x 100
The percentage of mute swans A = 12.19
The percentage of mute swans A = 12.2 %
Therefore , the value of A is 12.2 %
Hence , the percentage is 12.2 %
To learn more about equations click :
https://brainly.com/question/19297665
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if a ball is rolling down hill and accelerating at a rate of 2m/s^2 because of a 2N net force. What is the mass of the ball?
Answer:
1kgStep-by-step explanation:
According to Newton's second law
Force = mass * acceleration
Given
Force = 2N
acceleration = 2m/s^2
Mass =Force/Acceleration
Mass = 2/2
Mass =1kg
Hence the mass of the ball is 1kg
answer-->
7x/4a
?????
Answer:
Yes that is correct!!!!
Step-by-step explanation:
5x/ 2a − 3x/ 4a
= 14ax/ 8a2
= 14x/ 8a
= 7x/ 4a
Step-by-step explanation:
I hope this helps, tell me if you need for it to be explained more
Nick decides to play "Spin to Win" at a fundraiser event. He has a 25% chance of winning on any individual spin.
Individual spins are independent. Nick decides to play the game 10 times.
What is the probability that Nick wins at least once?
Round to 2 decimal places,
Answer:
0.015625
Step-by-step explanation:
The probability that Nick wins at least once is 2.5
What is probability?"Probability is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
What is percent?"It is a number that can be expressed as a fraction of 100."
For given example,
Nick has a 25 percent chance of winning on any individual.
This means, his chances of winning on any individual spin are 0.25
Individual spins are independent and Nick decides to play the game 10 times.
So the probability that Nick wins at least once is 10 × 0.25 = 2.5
Therefore, the probability that Nick wins at least once is 2.5
Learn more about the probability here:
https://brainly.com/question/11234923
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Will only name Brainliest if its the correct answer!
Answer:
2
Step-by-step explanation:
[tex] \frac{( {( {x}^{3} {x}^{4} )}^{2}) }{ {( {x}^{5} {x}^{3} )}^{z} } = {x}^{ - 2} \\ \\ \frac{( {( {x}^{3 + 4} )}^{2}) }{ {( {x}^{5 + 3} )}^{z} } = {x}^{ - 2} \\ \\ \frac{ {(( {x}^{7} ) }^{2}) }{ {( {x}^{8} )}^{z} } = {x}^{ - 2} \\ \\ \frac{ {x}^{7 \times 2} }{ {x}^{8 \times z} } = {x}^{ - 2} \\ \\ \frac{ {x}^{14} }{ {x}^{8z} } = {x}^{ - 2} \\ \\ {x}^{14 - 8z} = {x}^{ - 2} \\ \\ 14 - 8z = - 2 \\ \\ 14 + 2 = 8z \\ \\ 16 = 8z \\ \\ z = \frac{16}{8} \\ \\ z = 2[/tex]
Answer:
sorry late. from next time it will be in time
In a survey of 3,000 people who owned a certain type of car, 1800 said they would buy taht ype of car again. What percent of the people surveyed were satisfied with the car
In the figure, AB CD and mZ2 = 55°.
What is mZ8?
Answer:
m<8=m<2=55° being exterior angle
After an office party, 4 1/3 pizzas are left. A day later, there are 1 5/6 pizzas left. How munch pizza was eaten during the day after the party
Answer:
15/6 pieces of pizza were eaten. Which is equivalent to 2.5. So 2.5 pizzas were eaten.
Step-by-step explanation:
Just did the math. Convert 4 1/3 to 0/6. So 1 times 2 is 2, and 3 times 2 is 6. Which would give you 4 2/6 which has the same denominator as 1 5/6.
Combine any like terms in the expression 4a + a
a varies jointly as the square root of the product of b and c. if a = 24 when b = 8 and c= 2 , find v when a = 48 and c = 4
Answer:
b = 16
Step-by-step explanation:
× stands for varies
a × √bc,
a = k√bc,
when a = 24, b = 8, c= 2
a = k√bc
24 = k√8•2
24 = k√16
24 = 4k
dividing both sides by 4
k = 24/4
k = 6
a = 6√bc (standard equation)
find b when a = 48 and c = 4
a = 6√bc
48 = 6√b•4
dividing both sides by 6
48/6 = √b•4
8 = √b•4
squaring both sides
8^2 = b•4
64 = b•4
b = 64/4
b= 16.
Thrrefore when a = 48, c = 4, b = 16.
Ratio,rates,and proportional test
Answer:
Sorry, you didn't attach an image.
Step-by-step explanation:
Good luck with your test!
Find the least common multiple of 15, 2, and 3.
Answer:
the LCM for 15, 2, and 3 is 30
Answer:
The Least Common Multiple of 15, 2, and 3, is 30
Step-By-Step
In order to determine the least common multiple (LCM), list the multiples of each number
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30!!, 33, 39...
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30!!!
15: 15, 30!!!!!!!!!