Answer:
x = 12
Step-by-step explanation:
Solve for x:
[tex] \longrightarrow [/tex] 5 (x - 6) = 2(x + 3)
Expand out terms of the left hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2(x + 3)
Expand out terms of the right hand side:
[tex] \longrightarrow [/tex] 5x - 30 = 2x + 6
Subtract 2x from both sides:
[tex] \longrightarrow [/tex] (5x - 2x) - 30 = (2x - 2x) + 6
5x - 2x = 3x:
[tex] \longrightarrow [/tex] 3x - 30 = (2x - 2x) + 6
2x - 2x = 0:
[tex] \longrightarrow [/tex] 3x - 30 = 6
Add 30 to both sides:
[tex] \longrightarrow [/tex] 3x + (30 - 30) = 30 + 6
30 - 30 = 0:
[tex] \longrightarrow [/tex] 3x = 6 + 30
6 + 30 = 36:
[tex] \longrightarrow [/tex] 3x = 36
Divide both sides of 3x = 36 by 3:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{3}{3} = 1: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{36}{3} [/tex]
[tex] \sf \dfrac{36}{3} = 12: [/tex]
[tex] \longrightarrow [/tex] x = 12
Answer: 12
Step-by-step explanation: On Edge!!!!!!!!!!!!!!!!!!!
ohh your a mathematical genius say every number 1-100
Answer:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64. 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100
Step-by-step explanation:
Alfonso makes eight dollars per hour working at a movie theater and $12 per hour working at a restaurant next week a council is scheduled to work six hours at the movie theater which of the following inequalities represent the amount of hours that Alfonso needs to work at the restaurant next week to earn at least $144 between those two jobs
Answer:
Alfonso will need to work 8 hours. What i did was multiply 8 by 6 which is 48 then subtracted 48 by 144 and got 96 then you divide that by 12 which is 8, and that is how many hours he will have to work.
Step-by-step explanation:
give me the big brain
Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.
Juan’s profit for the month is ?
The negative sign represents the loss. Then the loss of Juan's will be $744.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.
The profit is calculated as,
Profit = $3,256 - $4,000
Profit = - $744
The negative sign represents the loss. Then the loss of Juan's will be $744.
More about the profit is given below.
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A pair of sunglasses cost $26 during the summer sale. If
there is a 7% tax, and Madison pays for the glasses with
$30, how much change should she receive
Answer:2.18$
Step-by-step explanation: 26 + 7% tax is 27.82 so 30 - 27.82 = 2.18$
i need help plz i dont understand
Write a quadratic equation whose factors are 4+3i and 4-3i.
Answer:
[tex]y=x^2-8x+25[/tex]
Step-by-step explanation:
To answer this question, we will work backwards.
We know that a factor is 4+3i. This means that:
[tex](x-(4+3i))=0[/tex]
Hence, we will eliminate the imaginary and convert this into standard form.
First, distribute the negative:
[tex]x-4-3i=0[/tex]
Add 3i to both sides:
[tex]x-4=3i[/tex]
Square both sides:
[tex](x-4)^2=(3i)^2[/tex]
Expand:
[tex]x^2-8x+16=9(-1)=-9[/tex]
Add 9 to both sides:
[tex]x^2-8x+25=0[/tex]
Hence, our quadratic equation is:
[tex]y=x^2-8x+25[/tex]
Notes:
We will get the same equation if we use (4-3i). This is because we square the (3i) regardless of its sign, making it positive.
ITS URGENT ILL GET GROUNDED IF I DONT GET THIS DONE PLEASE HELP » Avery states that the graph of g is the same as the graph of f with every
point shifted vertically. Cindy states that the graph of g is the same as the
graph of f with every point shifted horizontally.
f(x)=2x+1
g(x)=2x+3
Give an argument to support Avery’s answer
Give an argument to support Cindy’s statement
Answer:
Avery and Cindy are right
Step-by-step explanation:
Avery is correct because adding 2 to the graph of a function will shift it upward, while subtracting will shift it downward. Cindy is also correct because the point on the x axis also changes, would mean that every point also changes horizontally.
People supporting the Federalist party wanted all of the following except:
a.
To elect representatives from the states in order to have a voice in political decisions.
b.
A local government and a national government.
c.
People to have more say and representation in government.
d.
A traditional Spanish government.
Please select the best answer from the choices provided
Answer:
I think it is D(A traditional Spanish government.)
Step-by-step explanation:
sorry if i'm wrong
Answer:
a
Step-by-step explanation:
If you hike three miles every 5 minutes, how far are you going in 1 minute?
Answer:
0.6 miles per minute
Step-by-step explanation:
3/5 = 0.6/1 = 0.6
Answer:
0.6 miles or 3168 feet
Explanation:
In 5 minutes, you hike 3 miles, so in 1 minute you hike 3/5 miles or 0.6 miles.
What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
miss watson runs a disatnce of 200 metres in 25 seconds.
work out the average speed of miss watson in metres per second
Answer:
Step-by-step explanation:
ANSWER:
average = total distance / time
average = 200/25 = 8 m /s
If there are 15 boys and 18 girls in seventh grade. Find the ratio of boys to girls -- and simplify it.
Ratio of boys to the girls
= No of boys ÷ No of girls
=15÷18
=5:6
Sean has some candy bars that he wants to give away.He is going to give each person 1/8 of a bar,and he has 2 3/4 bars to give away.
Answer:
22 people
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
A single die is rolled twice. Find the probability of rolling an
Odd number the first time and a number greater than 4 the second time.
Answer: 1/6
Step-by-step explanation:
A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.
Odd numbers in a die = 1, 3 and 6
Numbers greater than 4 = 5 and 6
Probability of rolling an odd number = 3/6 = 1/2
Probability of rolling a number greater than 4 = 2/6 = 1/3
We then multiply both values gotten. This will be:
= 1/2 × 1/3
= 1/6
Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.
The probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6
The sample space of a single die is
[tex]\mathbf{S = \{1,2,3,4,5,6\}}[/tex]
So, the total sample is 6
The odd numbers are
[tex]\mathbf{Odd = \{1,3,5\}}[/tex] --- 3 odd numbers.
So, the probability of selecting an odd number is:
[tex]\mathbf{P(Odd) = \frac 36}[/tex]
Simplify
[tex]\mathbf{P(Odd) = \frac 12}[/tex]
The numbers greater than 4 are
[tex]\mathbf{Greater = \{5,6\}}[/tex] --- 2 numbers greater than 4.
So, the probability of selecting a number greater than 4 is:
[tex]\mathbf{P(Greater) = \frac 26}[/tex]
Simplify
[tex]\mathbf{P(Greater) = \frac 13}[/tex]
The probability of rolling an odd number the first time and a number greater than 4 the second time is calculated as follows:
[tex]\mathbf{P = P(Odd) \times P(Greater)}[/tex]
So, we have:
[tex]\mathbf{P = \frac 12 \times \frac 13}[/tex]
[tex]\mathbf{P = \frac 16}[/tex]
Hence, the probability is 1/6
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The fastest pizza box folder can assemble 8 pizza boxes in 21 seconds. At this rate, how long would it take to assemble 20 pizza boxes?
Answer:
52.5
Step-by-step explanation:
I don't trust myself but that's what I belive
The time taken is 52.5 seconds to assemble 20 pizza boxes if the fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.
The rate of assemble = 21/8 seconds per pizza
The time is taken to assemble 20 pizza boxes:
= (21/8)x20
= 420/8
= 52.5 seconds
Thus, the time taken is 52.5 seconds to assemble 20 pizza boxes if the fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.
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Im in no rush just need help
Answer:
1. Right: pointing downwards
Left: pointing upwards
2. Right: pointing upwards
Left: pointing upwards
3. Right: pointing downwards
Left: pointing upwards
4a. True
4b. True
Step-by-step explanation:
When the leading coefficient is negative the equation will either open downwards or the y-values will decrease as the x-values increase. The opposite is true for when the leading coefficient is positive. When the degree is odd one end will point downwards while the other points upwards. When the degree is even, both ends point in the same direction.
I hope this helps :)
A metal plate measuring 32cm by 12cm is cut into
small squares of side length 4cm. How many squares will
be cut?
Answer:
the answer is 24 squares will ve cut
Answer:
24
Step-by-step explanation:
32/4 = 8 and 12/4 = 3 --> these are how many square side lengths fit onto each side
then you just multiply them, 8*3=24, to get how many squares there are. i might be reading the problem wrong though.
The graph of y=-3x+4 is
Answer:
D
Step-by-step explanation:
This is an equation of a line and it shows all the solutions for any x-value.
Answer:
B
Step-by-step explanation:
made the most sense because it's only going to be a point
HELP PLEASE ILL GIVE U 50 POINTS
Answer:
6x^2+2x
Step-by-step explanation:
Answer:
area of rectangle=2x×(3x+1)=6x²+2x
Solve : 4(4p+6)=16 find the value of p
Answer:
p=-1/2
Step-by-step explanation:
4(4p+6)=16
4p+6=4
4p=4-6
4p=-2
P=-2/4
p=-1/2
find KL , need helppp!!! please
3. What problems would you encounter if the ladder were too short or too long? (1 point)
The ladder were too short or too long is p
If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.
What is the right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.
Therefore the answer is :p
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4 A baby's t-shirt requires 5 yards of fabric. How many t-shirts can be made from 48 yards?
Answer:
9 t-shirts
Step-by-step explanation:
divide 5 by 48 you will get 9.3 but that is not what it is asking it how many t-shirts can they total
If you know trig please help! Will give brainliest!
Expand brackets 4(y+2)
Answer:
16(y+2)
Step-by-step explanation:
240n ( m*2 + 8m + 16 ) / 24 ( m+4) plz help......with explanation
Answer:
20n(5m+8)(m+4)
Step-by-step explanation:
240n×
24
2m+8m+16
(m+4)
240n×
24
2(m+4m+8)
(m+4)
240n×
24
2(5m+8)
(m+4)
20n(5m+8)(m+4)
if f(x) = 4x+3, find f-1 (x)
Answer: x=1/4y + -3/4
Step-by-step explanation:
How can you tell if it’s linear?also say if it’s yes or no
Answer:
A is yes, but the rest is no
Step-by-step explanation:
y = 7x+9
2y+2x=-18
what the slove this system of equations
Answer:
(x,y) = (0,9)
Step-by-step explanation:
hellppp I'm slowee don't know anything
Answer: B) X=40
cuz i just know