Answer:
x=21/2
Step-by-step explanation:
5(x+3)=6(12+x/2)
Distribute the 5.
5x+15=6(12+x/2)
Reduce the numbers with the greatest common factor 2.
5x+15=3(12+x)
Distribute the 3.
5x+15=36+3x
Move the variable to the left-hand side and change the sign.
5x+15-3x=36
Collect like terms.
2x=36-15
2x=21
Divide 2 on both sides
x=21/2
Hope this helps :)
Answer:
x = 10.5
Step-by-step explanation:
5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides
5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )
2x + 15 = 36 ( subtract 15 from both sides )
2x = 21 ( divide both sides by 2 )
x = 10.5
What is the value of the expression
1/4 (16 + 9)-h
when g = 4 and n = 2?
o
B)
5
OC) 3
D) 5
1/4(16+9)-2
1/4(20)-2
5-2
3
Orion buys 3 books for a total of 25.50. He pays $8 plus sales tax for each book. He wants to know how much the sales tax is for one book.
Let "t" equal the sales tax Orion pays for each book. Write an equation that represents this situation.
The equation that represents this situation is 8 + 3t = 25.50.
How to calculate the value?Let the sales tax for each book be represented as t.
Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:
Cost of book + Tax = Total amount
8 + (3 × t) = 25.50
8 + 3t = 25.50
Collect like terms
3t = 25.50 - 8.
3t = 17.50
Divide
t = 17.50 / 3
t = 5.83
The sales tax is $5.83.
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Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x
One solution.
No solutions.
Infinite solutions.
Impossible to determine.
Answer:
infinity solution
solution:
-x-3y=-6
x+3y=6
An Earth worm Moves at a
distance of 45cm in 90 secondo
find the speed of the earth
worm
(I need to know how to lay it out as well)
Answer:
if the units is in m/s
Step-by-step explanation:
first work out using this triangle.
distance= speed x by time
so if we're trying to find out the speed we reaarange the triangle to :
distance
---------------------
speed x time
so speed = distance divided by time
distance = 45cm
divided by time = 90 seconds
But the units are cm and should be metres per second
change 45cm to m
that is 45cm = 45/ 100 = 0.45
0.45/ 90= 0.005cm
answer = 0.005 metres per second( m/s)
plz say thanks + rate !
Is that the right answer
Answer:
I believe so!
Step-by-step explanation: makes since to me!!
State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~
Answer:
b. not similar
Step-by-step explanation:
Side SC of the smaller triangle is ...
96 -57 = 39
So, the side lengths of the small triangle, shortest to longest, are ...
39, 40, 44
Side ST of the larger triangle is ...
44 +64 = 108
So, the side lengths of the large triangle, shortest to longest, are ...
96, 96, 108
These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.
_____
Additional comment
The larger triangle is isosceles. The smaller triangle is not.
Which sequence is geometric?
Group of answer choices
-2, 1, 6, 13...
-1, 2, 7, 14
-4, 20, -100, 500...
-7, 7, 21, 35...
Hi there! :)
A geometric sequence is a sequence where we use multiplication or division to get to the next term.
We use multiplication in the third sequence (we multiply by -5)
So the answer is Option C
Hope it helps
~Just a gloomy teen who misses her best friend
#CarryOnLearning
[tex]SilentNature[/tex]
Which diagram is NOT a good model of 2÷1/8
Answer:
16 i believe
Step-by-step explanation:
What is the slope of the line with equation 2x−5y=52?
Answer:
m = 2/5
Step-by-step explanation:
2x - 5y = 52
-5y = -2x + 52
y = 2/5x - 52/5
The slope of the line with equation 2x−5y=52 is 2/5.
The given equation of line is 2x−5y=52.
What is the slope of a equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
The given equation 2x−5y=52 can be rewritten as
2x-52=5y
⇒ y = 2x/5-52/5
Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c
So, m=2/5
Therefore, the slope of the line with equation 2x−5y=52 is 2/5.
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x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120 Factor completely given the following factors: (x+5) and (x+3) There should be 6 factors (2 given, 2 binomials, and 2 trinomials.) show steps
Answer:
(×+3)(×+5)(×2)(×-1) (×^2+2×+4)(×^2+×+)Step-by-step explanation:
Where the given one is bolded the 2 binomials is italicized Ang the 2 trinomials is underlinedpa BRAINLEST pls
Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 O A. Yes, because the number of x-values is the same as the number of y-values. B. No, because two points with the same yvalue have different * values. O C. No, because two points with the same x-value have different values. D. Yes, because every x- and y-value is positive.
this is a relation because it has all of the same number more than once
The owner of a bookstore buys used books from customers for $1.50 each. The owner then resells the used books
for 400% of the amount he paid for them.
What is the price of a used book in this bookstore?
need the answer
The price of a used book in the bookstore after the percentage increase in its price is $7.50.
What are percentages?
Percentage can be described as the fraction out of an amount that is usually expressed as a number out of hundred. Percentages are represented with this sign - %.
What is the price of the used book?Price = 1.50 x ( 1 + 4)
1.5 x 5 = $7.50
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Answer:
j 6.00
Step-by-step explanation:
i took the test hope this helps good luck
Neil is rolling a fair die and the last ten rolls have been 2, 5, 6, 3, 2, 1, 5, 2, 6, and 1. He says that the probability of getting a four on his next roll is higher since he has not gotten one yet. Is he correct?
A) No, the probability of getting a 4 on a fair die does not change. It will always be 16 no matter what he got on previous rolls.
B) Yes, since he has gotten everything but a 4 on the last ten rolls, the probability of getting a 4 is higher on the next roll.
C) No, since he has not gotten a 4 yet he is guaranteed to get one on the next roll as it is time for him to get one.
D) There is no way to tell until he rolls the die. You cannot accurately predict what he will get.
Answer:
A)No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
x=2y=-1
-5x-9y=2
elimation
Answer:
Step-by-step explanation:
We know x=2y=-1
So -5x-9y=2
<=> -5(1) +(-4)(1) - (y) =2
<=> -9- (y)=2
<=> y=-9-2
<=> y=-11
P/s: -9y= -8y-y = -4x-y = (-4)(1)-y
ok, i'm done. Thank to me :>
To earn an a in mr.whites math class students must score a total of at at least 135 points on three test. On the first two test , kaylees scores were 47 and 48 . What is the minimum score she must get on the third test to earn an a
Answer:
Set an equation x+47+48= 136
solve for x
x+95=136
x= 40
so they need to score a 40
pls help plsss
help
plss
Answer:
number 2 is c, number 3 is c
To solve two-step equations, it is useful to use reverse ________________ as a guide to isolate the variable efficiently. *
Answer:
operations
Step-by-step explanation:
to solve two-step equations, it is useful to use reverse operations as a guide to isolate the variable efficiently.
Part 2
Directions: Use the information in the charts to answer the questions.
Type of Fruit Cost
Estimated
Cost
apple
$1.75/pound
orange
$2.35/pound
banana
$1.50/pound
Answer:
i think you need to add all that up
Step-by-step explanation:
I need 30 please thank you
Answer:
ok good morning
have a nice day
Step-by-step explanation:
#toxicsquad
Answer:
i think its 7, but you should probably check that...
The recipe for grandmas famous apple pie calls for 2 cups of flour 1 egg and 3/4 cup of sugar. You accidently use 1 cup of sugar. To keep the quantities proportional how many cups of flour and eggs do you need?
Answer:
I think 2 1/2 for flour and 2 eggs
Rewrite 4/6 and 1/3 as a unite rate
Answer: B
Step-by-step explanation: Hope this helps :)
PLEASE HELP ASAP
A shop sells a washing machine for £236.25, making a profit of 5%. At what wholesale price did the shop buy the washing machine?
Original price = £
Answer:
£225
Step-by-step explanation:
The relationship between the cost price (cp) and the selling price (sp) is ...
cp + 5% × cp = sp
cp(1.05) = sp . . . . . . collect terms
cp = sp/1.05 . . . . . . divide by 1.05
cp = £236.25/1.05 = £225
The original wholesale price was £225.
In a Quiz points are rewarded for each correct answer while points are deducted for each incorrect answer. In the first round, Ethan answered all the questions correctly. In the second round, he answered 8 questions incorrectly. If 3 points are deducted for each incorrect answer, by how much does Ethan’s score change in the second round?
Answer:
24 points
Step-by-step explanation:
3x8 is 24
What is the graph of y=3/4x-3
Answer:
the answer is graph C
Step-by-step explanation:
babyface_wee
Answer: Graph A
Step-by-step explanation:
y-intercept = -3 So, Not Graph B
Slope = 3/4x = rise 3 run 4 or up 3 right 4. So not Graph C
Graph A meats all the criterias.
What is the solution set of -12x=-74?
The solution to -12x = -74 is X = 6.16.
As for a set? Elaborate on what you mean by set please
Find two integers whose sum is -3 and product is -18
With this in mind,
x + y = -3
x * y = -18
[] Let's think about the factors of -18Then we will think about which ones could add up to 3
1 & 18, 2 & 9, 3 & 6 are factors of 18 (one being negative results in -18)
Well 1 and 18 cannot make 3, same for 2 and 9, that leaves us with 3 and 6.
[] Last, we will testYou can see our test shows this solution works!
-6 + 3 = -3
-6 * 3 = -18
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A radar station is 2000 ft from the launch site of a rocket. If the rocket is launched vertically at the
rate of 500 ft/sec, how fast is the distance between the radar station and the rocket changing 10 seconds
later?
Answer: f 500 Ft./sec
Step-by-step explanation:
By evaluating the derivate of the distance in t = 10s, we will see that at t = 10s the distance is changing at a rate of 464.2 ft/s
We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.
The hypotenuse would be the distance between the radar and the rocket.
Then the distance function is:
[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]
Now we need to get the rate of change, this is given by:
[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]
Now we evaluate this in t = 10s to get:
[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]
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simplify, (xy+yz)² - 2x²y²z² and find the value when x=-1, y=2 and z=1
plz answer this fast plz u will give you brainly plz help me fast only 5min left to answer
We have
(xy + yz)² - 2x²y²zIf,
x = -1, y = 2 and z = 1Putting value:
(xy + yz)² - 2x²y²z➡ (-1×2 + 2×1)² - 2×-1²×2²×1
➡ (-2 + 2)² - 2×1×4×1
➡ (0)² - 8
➡ 0 - 8 = -8,answer
HELP ASAP
Find the slope from the following points.
(-2, 12) (4, -6)
Answer:
-3
Step-by-step explanation:
Slope formula
A trader has a mixture of 5c and 10c coins. He has 50 coins in all, with a total value of $4.20. How many of each coin does he have?
Answer:
16 5c coins
34 10c coins
Step-by-step explanation:
(I prefer to use whole numbers)
5x + 10y = 420
x+y=50
multiply the bottom problem by -5
5x +10y =420
-5x -5y = -250
combine the problems
5y = 170
divide by 5
y = 34
that means x = 16
34 10c coins
16 5c coins
-- Gage Millar, Algebra 1/2 tutor
The number of 5 cent coins are 16 and the number of 10 cent coins are 34.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, a trader has a mixture of 5 c and 10 c coins.
Let the the number of 5 c coins be x and the number of 10 c coins be y.
He has 50 coins in all, with a total value of $4.20.
So, x+y=50 ---------(I)
5x+10y=420 ---------(II)
Multiply equation (I) by 5, we get
5x+5y=250 ---------(III)
Subtract equation (III) from (II), that is
5x+10y-(5x+5y)=420-250
⇒ 5y=170
⇒ y=34
Substitute y=34 in equation (I), we get
x=16
Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.
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