Answers
Answer:
5 is the value which makes the equation true .Step-by-step explanation:
In this question we have provided an equation that is 9 ( 3x - 16 ) + 15 = 6x - 24 . And we are asked to write the steps to solve the equation with explanation and to find the value of X .
Solution : -
[tex] \longmapsto \quad \: 9(3x - 16) + 15 = 6x - 24[/tex]
Step 1 : Solving parenthesis on left side using distributive property which means multiplying 9 with 3x as well as -16 :
[tex] \longmapsto \quad \:27x - \bold{144 }+ \bold{15 }= 6x - 24[/tex]
Step 2 : Solving like terms on left side that are -144 and 15 :
[tex] \longmapsto \quad \:27x -129 = 6x - 24[/tex]
Step 3 : Adding 129 on both sides :
[tex] \longmapsto \quad \:27x - \cancel{129} - \cancel{129} = 6x \bold{ - 24 } + \bold{129}[/tex]
Now on cancelling -129 with 129 on left side and solving the terms that are -24 and 129 on right side , We get :
[tex] \longmapsto \quad \:27x = 6x + 105[/tex]
Step 4 : Subtracting with 6x on both sides :
[tex] \longmapsto \quad \: \bold{27x} - \bold{6x} = \cancel{6x} +105 - \cancel{ 6x}[/tex]
On calculating further, We get :
[tex] \longmapsto \quad \:21x = 105[/tex]
Step 5 : Now we are Dividing with 21 on both sides so that we can isolate the variable that is x :
[tex] \longmapsto \quad \: \dfrac{ \cancel{21}x}{ \cancel{21}} = \dfrac{105}{ 21} [/tex]
Now , by cancelling 21 with 21 on left side , We get :
[tex] \longmapsto \quad \:x = \cancel{\dfrac{105}{21}} [/tex]
Step 6 : Now our final step is to simplify the value of x that is 105/21 . We know that 21 × 5 is equal to 105 . So :
[tex] \longmapsto \quad \: \purple{\underline{\boxed{\frak{ x = 5 }}}}[/tex]
Henceforth , value of x is 5Verifying : -
Now we are verifying our answer by substituting value of x in the given equation . So ,
9 ( 3x - 16 ) + 15 = 6x - 249 [ 3 ( 5 ) - 16 ] + 15 = 6 ( 5 ) - 249 ( 15 - 16 ) + 15 = 30 - 249 ( -1 ) + 15 = 6-9 + 15 = 66 = 6L.H.S = R.H.SHence , Verified .Therefore, our value for x is correct that means it'll makes the equation true .
#Keep LearningRelated Questions
|x+20| if x<-20
write the equation without the absolute value signs
Answers
You take the negative 20 and flip it around!
Which compound inequality can be represented by the graph below?
x < 5 or x ≥ 9
5 ≤ x < 9
x ≤ 5 or x > 9
5 < x ≤ 9
Answers
Answer:
5 < x ≤ 9
Step-by-step explanation:
Jessica is thinking of a number that rounds to 1,400 for the nearest ten and for the nearest
hundred. What number might she be thinking of?
Answers
Answer:
1,398
Step-by-step explanation:
i think this is it cause this is very close. Have a nice day.
solve for x ~
[tex]x {}^{2} - 16x = 0[/tex]
thankyou ~
Answers
Step-by-step explanation:
Mark me brainliest please[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 16x = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: x(x - 16) = 0[/tex]
Now, there are two possibilities ~
[tex]\qquad \tt \dashrightarrow \:x = 0[/tex]
or
[tex]\qquad \tt \dashrightarrow \:x - 16 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 16[/tex]
Solve for a side in right triangles. Make sure to round your answer to the nearest hundredth
Answers
Answer:
tan(20) = 4 / x
tan(20)x = 4
x = 4 / tan(20)
x = 10.99 units
Step-by-step explanation:
2. The value of C when y= 2x+C is tangent to the parabola y²=8x is: (a)-1 (b) 1 (c) 2 (d)-2
Answers
Answer:
B. The value of C is 1
Step-by-step explanation:
Given:
[tex]\displaystyle \large{y=2x+C}\\\displaystyle \large{y^2=8x}[/tex]
y = 2x + C is a tangent to parabola y² = 8xTo find:
value of CA line being a tangent to curve means both equations are equal but there has to be only one interception between both graphs.
Therefore, substitute y = 2x+C in y² = 8x:
[tex]\displaystyle \large{(2x+C)^2 =8x}[/tex]
Expand the expression (2x+C)² using perfect square:
[tex]\displaystyle \large{4x^2+4xC+C^2=8x}[/tex]
Simplify the equation:
[tex]\displaystyle \large{4x^2+4xC-8x+C^2=0}\\\displaystyle \large{4x^2+(4C-8)x+C^2=0}[/tex]
The discriminant says:
If b²-4ac > 0 then there are two real rootsIf b²-4ac = 0 then there is only one real rootIf b²-4ac < 0 then the are no real rootsFor this, we choose b²-4ac = 0 since tangents only have one intersection.
[tex]\displaystyle \large{b^2-4ac = (4C-8)^2-4(4)C^2 = 0}\\\displaystyle \large{16C^2-64C+64-16C^2=0}\\\displaystyle \large{-64C+64=0}[/tex]
Solve the equation for C:
[tex]\displaystyle \large{-64C=-64}\\\displaystyle \large{C=1}[/tex]
Therefore, the value of C is 1
What is the square root of a number if it is in ratio form
Answers
The square root of 25 is 5. It is the positive solution of the equation x2 = 25. The number 25 is a perfect square.
...
Square Root of 25 in radical form: √25.
Amari pays $7,440 in taxes on his income of $46,500. What percentage of his income is going toward taxes???
Answers
Answer:
16%
Step-by-step explanation:
percent = part/whole × 100%
percent = 7440/46500 × 100%
percent = 0.16 × 100%
percent = 16%
Answer:
Step-by-step explanation:
You divide 7,440 by 46,500 because that is the amount of his income going towards taxes.
7440/46500 = .16
.16=16%
Steps on how to solve?
Answers
Answer:
w = 3
Step-by-step explanation:
Raise both sides to the 4th power. This will "undo" the fourth root that is on both sides. See image. Then solve for w. Crossmultiply. Combine the w terms and the numbers. Divide to isolate the variable. See image.
What is 34.48 rounded to the
nearest whole number?
Answers
34.48
to find:34.48 rounded to the nearest whole number.
solution:= 34
( if the first digit after the decimal point is 5 or more we'll have to round off, if not just keep it as it is. )
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step number 3 is incorrecct
Step-by-step explanation:
It should be 16+12 because when you multiply (4)(3)(-1), which would equal -12, you need to sbutract -12 from 16, which is just adding 12 to 16 since two negatives make a positive.
Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coins in Box B. The amount of money in Box B is $1.60 more than the amount of money in Box A. How many 20-cent coins are there in Box A?
Answers
Answer: There should be 16, 20 cent coins
Step-by-step explanation:
First we have to do 1.60 x 2 which equals 3.2
Then we divided by 0.20 because the equals the 20 cent coins
We get 16
We can check our work by 0.20 x 16 and that gives us 3.2
I hope this helps!
[-32] <,>,= [15] what is the answer
Answers
Answer:
-32 < 15
Step-by-step explanation:
Whenever in the negatives, it's always less than zero. Because 15 is positive, it would be greater than -32.
In oak valley the cost of gas averaged $3.50 per gallon qt the start of April the rose 6% during April and dropped 10% during May. What was the cost of a gallon of gas at the end of May?
Answers
Answer:
$ 3.34
Step-by-step explanation:
3.50 * 1.06 cost at end of April then find 90% of this to find end of May
3.50 * 1.06 * .9 = $ 3.34
An artist glues together pieces of plastic to make a design as shown in the diagram. What is m∠ACD?
A)50°B)60°C)70°D)80°E)90°
Answers
Evaluate the expression for the given values.
(a) The expression 5p − 7d evaluated for p = 8 and d = 1/7
(b) The expression 5p − 7d evaluated for p = 3 and d = −6
(a) The expression 5p−7d evaluated for p=8 and d= 1/7 is______ .
Part 2 Of Question
b) The expression 5p − 7d evaluated for p = 3 and d = −6 is ______
Answers
Answer:
a is 39
b is 57
Step-by-step explanation:
you were given two different expressions to substitute.
the first one is p = 8 and d = 1/7
so we substitute into 5p - 7d
that is 5(8) - 7(1/7)
we get 40 - 1
which if we go ahead to evaluate we get 39
The second one p = 3 and d = -6
so we get 5(3) - 7(-6)
we get 15 - (-42)
if we go ahead to evaluate we get 15 + 42
two negative meeting each other gives you positive.
then it going too be 57
PLEASE HELP ASAP!!!!!!!!
Answers
Answer:
Minimum = 1
Maximum = 16
Median = 8
First Quartile = 3
Third Quartile = 15
Inter Quartiler Range = 12
Step-by-step explanation:
Looking at the image you provided and the points are given.
solve
-2(x + 2)(x - 1)
Answers
Answer:
-2x^2 -2x + 4
Step-by-step explanation:
Distributive prop.
(-2x-4)(x-1)
-2x^2 + 2x - 4x + 4
-2x^2 -2x + 4
What is the answer for 2/3 + 1/4?
Answers
Hey there!
2/3 + 1/4
= 2×4/3×4 + 1×3/4×3
= 8/12 + 3/12
= 8 + 3/12 - 0
= 11/12
Therefore, your answer is: 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\frac{11}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} +\frac{1}{4}[/tex]
First, find the lowest common denominator (LCD):
3*4=12
Next, convert the fractions to a base of 12.
[tex]\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]
[tex]\frac{1}{4} * \frac{3}{3} = \frac{3}{12}[/tex]
Then, add our fractions with the same base (12):
[tex]\frac{8}{12} + \frac{3}{12} = \frac{11}{12}[/tex]
POSSIBLE
Paytin has silk ribbon that is 2 inches wide. She plans to sew the ribbon around the edge of a circular tablecloth that has a 25-inch radius.
How much silk ribbon does she need?
inches of ribbon.
1
2
Answers
Answer:
78.5 or 79 inches when rounded.
Step-by-step explanation:
2 in wide so get half of 2 which is 1 times 3.14 = 3.14. then times that by the 25 inch radius = 78.5
help me please i need help
Answers
Answer:
1/10
3
Step-by-step explanation:
probability of getting a 7 = 1 in 10 =1/10
if the total frequency of spins N= 30
then the expected number of occurrences =N×p=30×(1/10)=3
Answer: a) 1/10
b) 3
Step-by-step explanation:
a) 7 is one number on the spinner meaning that out of 10 possibilities 7 is only one of them which give you 1/10.
b) If she spins it 30 more times this would give you the fraction of 3/30 since it relates to the first fraction.
6) Kate wants to buy some daisies for $6.99, some potting soil for $3.98, and a ceramic pot for $7.95. She has $20.00. Which number sentence represents the amount of change Kate receives back?
Answers
By taking a subtraction, we will see that the change that Kate receives is $1.08
How to get the change?The change will be given by the difference between what Kate has, and the cost of all the items she buys.
She has $20.00, and the costs are: $6.99, $3.98, and $7.95.
Then the change will be:
C = $20.00 - $6.99 - $3.98 - $7.95 = $1.08
We conclude that the change is $1.08
If you want to learn more about subtractions, you can read:
https://brainly.com/question/2475734
A regular hexagon has an area of approximately
20 square centimeters. If the apothem measures
2.4 centimeters, find the approximate length of
each side.
Answers
Answer:
The side is approx 2.78cm
Step-by-step explanation:
There is an area formula for regular polygons that uses the apothem:
A = 1/2•a•s•n
a is the apothem.
s is the side length.
n is the number of sides.
The area, A is given and also the apothem is given, as well as the number of sides.
The shape in your problem is a hexagon, so it has 6 sides.
A = 1/2 asn
20 = 1/2(2.4)s(6)
Multiply.
20 = 7.2s
Divide.
20/7.2 = s
2.78 = s
s = 2.78
if X varies inversely as the cube root of y and X=1 when y=8. find y when X =3
Answers
Answer:
The work is straight forward once you know the formular
Is 10, 20, 40, 80... an arithmetic sequence?
Answers
Answer:
No.
Step-by-step explanation:
A arithmetic sequence is a sequence of numbers that go up by the same value each time. We can clearly see that this set of numbers does not go up by the same value each time, therefore ruling it out as an arithmetic sequence. This sequence is a geometric sequence in case you're wondering.
Watch help vide
Anna took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $3 plus $2.25 per mile. The total fare was $48, not including the tip. How many
miles was the taxi ride?
Answers
45 divided by 2.25 (to get miles)
The taxi ride was 20 miles
Anna has traveled 20 miles in the taxi.
What is equation?An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.
The total amount paid is $48. So, the right side of the equation will be 48.
The cost of 1 mile is $2.25 so, the cost of x miles will be 2.25x.
Determine the total cost in terms of x.
Total cost = Fixed Cost+ Variable cost
= 3+2.25x
Determine the equation and solve it.
3+2.25x=48
2.25x=45
x=20
Thus, the taxi has traveled 20 miles.
To learn more about equations click:
https://brainly.com/question/649785
#SPJ2
8) Solve the exponential equation
Answers
Answer:
5/8 =x
Step-by-step explanation:
2 ^ ( 3x-5) = ( 1/32) ^x
Rewriting 1/32 as 2 ^ -5
2 ^ ( 3x-5) = ( 2^-5) ^x
We know that a^b^c = a^ ( b*c)
2 ^ ( 3x-5) = ( 2) ^-5x
Setting the exponents equal
3x-5 = -5x
Subtract 3x from each side
3x-5-3x = -5x-3x
-5 = -8x
Divide each side by -8
-5/-8 = -8x/-8
5/8 =x
The prism below is made of cubes which measure 1/2 of an inch on one side. What is the volume?
Note: Figure is not drawn to scale.
OA. 15/2 cubic in
OB. 6 cubic in
OC. 30 cubic in
OD. 60 cubic in
Answers
the answer is B. 6 cubic in
Tina ordered a replacement part for her desk. It was shipped in a box that measures 2 in. by 2 in. by 11 in. What is the greatest length in whole inches that the part could have been?
Answers
Answer:
15 inches
Step-by-step explanation:
The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...
l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches
If im wrong just tell me im sorry if it is
Ally~
what is this its to hard :|
Answers
Answer:
25
Step-by-step explanation:
We take both medians and subtract.
53-28=25