Answer:
x = 5
Step-by-step explanation:
Simplify. First, combine like terms:
3x - x + 2 = 12
(3x - x) + 2 = 12
(2x) + 2 = 12
2x + 2 = 12
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is your order of operation.
First, subtract 2 from both sides:
2x + 2 (-2) = 12 (-2)
2x = 12 - 2
2x = 10
Next, divide 2 from both sides:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
Check: Plug in 5 for x in the equation. Solve:
3(5) - (5) + 2 = 12
15 - 5 + 2 = 12
10 + 2 = 12
12 = 12 (True)
~
Answer:
x = 5
Step-by-step explanation:
Combining like terms, we get 2x = 10. Dividing both sides by 2 yields
x = 5
Simplify. Rewrite the expression in the form k⋅y^n. (2y^4)^3
Answer:
The answer is
[tex] {8.y}^{12} [/tex]Step-by-step explanation:
(2y⁴)³
Using the rules of indices
That's
[tex]( {ax})^{b} = {a}^{b} . {x}^{b} [/tex]So for the above expression we have
[tex]( {2y^{4} })^{3} = {2}^{3} . {y}^{4 \times 3} [/tex]Simplify
We have the final answer as
8.y¹²Hope this helps you
A rectangle has an area of 90 units. what is the rectangles length and width?
Step-by-step explanation:
You must specify the length or the breadth either in values, variables or ratio. ..
There are infinite answers for this question., so I guess you have missed printing some information in it.. so rewrite the question please
Given that (0,-5) is on the graph of f(x), find the
corresponding point for the function
f(-4x).
Answer:
the corresponding point for the function f(x) − 4 is (0,-9)
Step by Step Explanation --
Given that (0, -5) is on the graph of f(x),
WE need to find the corresponding point for the function f(-4x}
f(x) means the output y
f(x)-4 means subtract 4 from the output y
In the given point (0, 5) , x is 0 and y is -5
To get the corresponding point we subtact 4 from y
that is [-5]- 4 = -9
the corresponding point for the function f(x) − 4 is (-3,1)
Step-by-step explanation:
Answer:
(0,-5)
Step-by-step explanation:
Paj is filling a -cubic-inch flower pot with soil from small bags. Each bag of soil contains cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?
Complete Question
Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3 cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?
Answer:
[tex]Number\ of\ Bags = 3\frac{3}{8}[/tex]
Step-by-step explanation:
Given
[tex]Flower\ Pot = 9 in^3[/tex]
[tex]Small\ Bag = 2\frac{2}{3} in^3[/tex]
Required
How many bag of soil can fill the flower pot
To solve this,we simply divide the volume of flower pots by the small bags. This is done as follows;
[tex]Number\ of\ Bags = \frac{Flower\ Pot}{Small\ Bag}[/tex]
[tex]Number\ of\ Bags = \frac{9 in^3}{2\frac{2}{3} in^3}[/tex]
Convert fraction
[tex]Number\ of\ Bags= \frac{9 in^3}{\frac{8}{3} in^3}[/tex]
[tex]Number\ of\ Bags = 9 in^3/\frac{8}{3} in^3[/tex]
[tex]Number\ of\ Bags = 9 * \frac{3}{8}[/tex]
[tex]Number\ of\ Bags = \frac{9 * 3}{8}[/tex]
[tex]Number\ of\ Bags = \frac{27}{8}[/tex]
[tex]Number\ of\ Bags = 3\frac{3}{8}[/tex]
Hence, the number of bags needed is [tex]3\frac{3}{8}[/tex]
Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will hemp show that circle A is similar to circle B?
A. Dilate circle A by a scale factor of 3.
B. Translate circle A using the rule (x - 3, y + 6).
C. Rotate circle A 180 About the center.
D. Reflect circle A over the y-axis.
Answer:
The correct option is;
A Dilate circle A by a scale factor of 3
Step-by-step explanation:
The given parameters are;
The center of circle A is (4, 6)
The radius of circle A = 5
The center of circle B = (1, 0)
The radius of circle B = 15
Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3
Radius of circle A = 5,
Radius of circle B = 15 = 3 × 5
Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.
For a circle to be similar dilate circle A by a scale factor of 3
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given parameters are;
The centre of circle A is (4, 6)The radius of circle A = 5The center of circle B = (1, 0)The radius of circle B = 15Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3
The radius of circle A = 5,
Radius of circle B = 15 = 3 × 5
Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.
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You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What's the y value when the x value equals 4?
Answer:
They "y" value = (4 * 24) + 4 which equals
100
Step-by-step explanation:
im bad with shapes just look at the picture and tell me best of luck
Answer: They are both right triangles so you can use the Pythagorean Theorem to get the length of the missing side
12^2 = 144. 5^2 = 25. 144 + 25 = 169. 13^2 = 169. Or you could say the sure root of 169 is 13.
Step-by-step explanation:
The triangles are congruent because the three sides of triangle A are equal to the three sides of triangle B.
In geometry they call that proof "sss" meaning 3 same sides. Or you could prove by "sas" 2 equal sides and an equal angle.
Answer:
Answer: They are both right triangles so you can use the Pythagorean Theorem to get the length of the missing side
12^2 = 144. 5^2 = 25. 144 + 25 = 169. 13^2 = 169. Or you could say the sure root of 169 is 13.
Step-by-step explanation:
The triangles are congruent because the three sides of triangle A are equal to the three sides of triangle B.
In geometry they call that proof "sss" meaning 3 same sides. Or you could prove by "sas" 2 equal sides and an equal angle.
A diver swims 5.875 feet up to the surface of the water which number represents the divers position in relation to the surface before swimming to the top -5.9 ft -5 3/4 -58 or -5 7/8
Answer:
-5 7/8 = -5.875
Step-by-step explanation:
Before swimming to the top, the swimmer was 5.875 ft down
Answer:
-5 7/8 feet
Step-by-step explanation:
The opposite of 5.675 is 5 7/8 feet (I don't know if the explanation is right but the answer is)
Find the Absolute Value of: |-16+9|
Answer:
7
Step-by-step explanation:
|-16+9|
Calculate the number inside the absolute value
|-7|
Now take the absolute value
7
Answer:
its 7
Step-by-step explanation:
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.
Answer:
1 inches = $0.24
Step-by-step explanation:
9.5 inches =$2.28
$2.28 ÷ 9.5= .24
so the answer is 1 inch = $0.24
The price per inch of plant is $0.24.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Bob sets the price of the plants according to their height in inches.
A plant that is 9.5 inches high costs $2.28 in his store.
To find the price of the plant per inch:
Use division operation;
2.28 / 9.5
= $0.24 per inch.
Therefore, price is $0.24 per inch.
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Factor the expression and use the factor to find the x-intercepts of the quadratic relationship it represents.
The x intercepts occur where x= ___ and x= ___
Answer:
-3 and 8
Step-by-step explanation:
take a look at the picture. Hope it helps! Mark Brainliest pleaseee :)
The x intercepts occur where x = 8 and x= -3
What is Quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex].
What is x intercept?The x-intercept is where a line crosses the x-axis
Given,
[tex]-x^{2} +5x+24=0[/tex]
Factor the expression,
[tex]-x^{2} +5x+24=0\\-(x^{2} -5x-24)=0\\x^{2} -5x-24=0\\(x-8)(x+3)=0\\[/tex]
Therefore,
x= 8 and x = -3
Hence, the x intercepts occurs where x= 8 and x= -3
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Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches. How much more does Turbo Taste cost per pouch?
Answer:
2 cents
Step-by-step explanation:
you would just divide the Flav-O-Squeeze price by 12 since there are 12 pouches and the Turbo Taste price by 20 since there are 20 pouches and then you would get 1 pack of Flav-O-Squeeze is 49 cents and 1 pack of Turbo Taste is 51 cents and if you subtract them Turbo Taste is 2 cents more then Flav-O-Squeeze
The cost of Turbo Taste per pouch is $0.02.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches.
The more cost will be calculated as,
Cost of Turbo Taste = 10.20 / 20 = $0.51
The cost of Flate-O-Squeeze = 5.88 / 12 = $0.49
The more cost of Turbo-Taste = 0.51 - 0.49
The more cost of Turbo-Taste = $0.02
Therefore, the cost of Turbo Taste per pouch is $0.02.
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Use the Order of Operations to evaluate: 19 •4 - 3+3
Answer:
76
Step-by-step explanation:
multiply 19^4 first to get 76, then minus 3 from that to get 73, and add 3 back to that to get 76.
Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you win. If it is not, Kyle wins. What is your probability of winning? Is this a fair game?
Answer:
The probability of you winning is 1/3
No, it is not a fair game
Step-by-step explanation:
The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.
Please check attachment for this
Kindly note that the total number of possible outcomes is 36.
And in the attachment, sums which are divisible by 3 are circled.
The number of circles we can count is 12
Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3
Is it a fair game?
No, it is not
It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)
2x – 5 + 3x + 12
5x + 7
Answer:
x=-5
Step-by-step explanation:
I used my ti-84 plus ce calculator to calculate this
>math
>numerical solver
>type equation
>enter
>you answer appears
Answer this question
Answer:
Option C
Step-by-step explanation:
angle B = angle C
angle B + angle C = angle DAC
angle DAC = 2 x angle DAX
angle DAX = 70 deg
=> angle DAC = 2 x 70 = 140 deg
=> angle B = angle C = 70 deg
what is quadratic and it's formula
Answer:
A quadratic (equation or expression) involves the second and no higher power of an unknown quantity or variable.
Step-by-step explanation:
The quadratic formula is derived from the General form of a quadratic equation :
ax+bx+c=0
using completing the square method.
Quadratic formula=
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
2. Simplify the following expression 1 (16 (16-12)
Answer:
The answer is 64.
16-12=4.
4×16×1=64.
Answer:
The answer is 64.
Step-by-step explanation:
16-12=4.
4×16×1=64.
f(x)=[tex]\sqrt{x+4}[/tex] and g(x)=[tex]x^{2}[/tex]
find f(g(-6)
Answer:
[tex]f(g(-6))=2\sqrt{10}[/tex]
Step-by-step explanation:
first we need to find g(-6)
[tex]g(x)= x^2\\\\g(-6)=(-6)^2\\\\g(-6)=36[/tex]
so g(-6)=36
so we need to find f(36)
[tex]f(x)=\sqrt{x+4} \\\\f(36)=\sqrt{36+4} \\\\f(36)=\sqrt{40}\\\\f(36)=\sqrt{4}* \sqrt{10} \\\\f(36)=2\sqrt{10}[/tex]
so that's answer
[tex]f(g(-6))=2\sqrt{10}[/tex]
Find the measure of AB¯¯¯¯¯¯¯¯. A. 14 B. 22 C. 21 D. 20
Answer:
C. 21
Step-by-step explanation:
We use the Power of Point theorem, which states that for points A, B, C, D, and E oriented in the way shown in the attachment:
BC * AC = DC * EC
Here:
AC = AB + BC = (2x + 5) + 9 = 2x + 14
BC = 9
DC = 10
EC = KC = (1 + 2x) + 10 = 2x + 11
So plug all these in:
BC * AC = DC * EC
9 * (2x + 14) = 10 * (2x + 11)
18x + 126 = 20x + 110
2x = 126 - 110 = 16
x = 8
Put this back into the expression for AB:
AB = 2x + 5 = 2 * 8 + 5 = 16 + 5 = 21
The answer is thus C.
~ an aesthetics lover
Describe a real-world situation in which opposite quantities add together to equal zero.
Answer: Answer is in the steps.
Step-by-step explanation:
One situation is this.
Jason borrowed $5 from his best friend during a field trip and agreed to pay him back the next school day.The next day, he came back to school with $10 and used $5 to pay his friend back.Now answer the this question. How much does Jason owe his best friend now?
The answer to the question will be zero because Jason has already paid his friend all the money he borrowed.
If f(x)=3/x+2- sq x-3, complete the following statement: f(19)=__
Answer:
answer is 27/7
Step-by-step explanation:
F(19) means u have to put the value of x as 19
so by putting 19 we get
3/19+2 -root (19-3)
so 3/21 - root 16
or 3/21 -4
or 3- 84/21
or 81/21
ans= 3x27/3x7= 27/7
thank u
Please answer quickly I will give BRAINLIEST to the person who is fastest and correct please hurry thank you
Answer:
0.5 m³
Step-by-step explanation:
You have a rectangular prism and a cube. Find the volume of each separately. After solving, add the two volumes together to find the total volume.
Cube
The side length is 0.5 m.
V = a³
V = (0.5 m)³
V = 0.125 m³
Rectangular Prism
The height is 0.75 m, the width is 0.5 m, the length is 1 m.
V = lwh
V = (0.75 m)(0.5 m)(1 m)
V = 0.375 m³
0.125 m³ + 0.375 m³ = 0.5 m³
[tex]-2m-5m=9m-12[/tex]
Answer:
[tex] - 2m - 5m = 9m - 12 \\ ⟶ - 2m - 5m - 9m = - 12 \\ ⟶ - 16m = - 12 \\ ⟶ - m = \frac{ - 12}{16} \\ ⟶ - m = \frac{ - 6}{8} \\ ⟶ m = - ( - \frac{6}{8} ) \\ ⟶m = \frac{6}{8} [/tex]
[tex]m=0.75[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 0.75}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 2m - 5m = 9m - 12}[/tex]
Collect like terms
⇒[tex] \sf{ - 7m = 9m - 12}[/tex]
Move 9m to left hand side and change it's sign
⇒[tex] \sf{ - 7m - 9m = - 12}[/tex]
Collect like terms
⇒[tex] \sf{ - 16m = - 12}[/tex]
Divide both sides of the equation by -16
⇒[tex] \sf{ \frac{ - 16m}{ - 16} = \frac{ - 12}{ - 16} }[/tex]
Calculate
⇒[tex] \sf{ m = 0.75}[/tex]
Hope I helped!
Best regards!!
*PLEASE ANSWER!!!* What is the volume of this prism?
Answer:
D, 160
Step-by-step explanation:
Base: from a rectangle 6×8 a square 4×4 is removed.
Base area: 6×8-4×4=48-16=32 square units.
Volume: base are × height=32×5=160cubic units.
Answer: D, 160
Suppose a population
consists of 85,000 people. Which of the following
numbers of members of the population being surveyed could result in a
parameter but not a sample statistic?
O A. 850
O B. Both 850 and 85,000
O C. 85,000
D. Neither 850 nor 85,000
Answer:
c
Step-by-step explanation: A P E X
An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The correct option is C.
What is a sample?A sample is a statistically significant subset of a larger population. The utilisation of samples enables researchers to conduct investigations with more manageable data and more quickly. Randomly chosen samples exhibit little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.
Given that a population consist of 85,000 people. Now, the number of members of the population that being surveyed could result in a parameter but not a sample static is 8500. This is because a parameter is a value that describes a specific attribute of the population as a whole. A sample survey cannot provide this information. To determine the real value of a parameter, the entire population must be examined.
Hence, the correct option is 85,000.
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Susan plans to rent a bike in New Orleans to tour the city. The cost of the rental is $20 per day. The cost of a helmet is $7 for as long as Susan needs the bike. Barbara has $250 to rent a bike for 15 days. Does Barbara have enough money? Explain. First answer gets Brainiest and 48 points hurry please tho
Answer:
No, she does not.
Step-by-step explanation:
Using the words here, we can create the expression [tex]20d + 7[/tex] where d is the number of days.
We can now substitute 15 in as d, to see how much this will cost.
[tex]20\cdot15 + 7\\\\300+7\\\\307[/tex]
So the total cost will be $307.
Since $307 is more than $250, she does not have enough money.
Hope this helped!
Find the midpoint of the segment with the given endpoints.
(-5,3) and (-4,-8)
The midpoint is _
Answer: (-4.5, -2.5)
Step-by-step explanation:
Please help me similar triangles make no sense to me
I have to determine if they are similar or not and make a similarity statement
Answer:
Step-by-step explanation:
Compare the ratios of the triangles like so:
Bigger to smaller
[tex]\frac{15}{10}=\frac{12}{8}[/tex]
This statement is true. Both fractions simplified are equal to 1.5. Since they have the same ratios, they should be similar.
Help plzzzzzzz......
Answer:
A. England = 56000000
B. 1.046 * 10^7
C. 9.7 to 2sf
Step-by-step explanation:
A. England = 5.60*10000000
=56000000
B. Wale = 3.14*1000000 = 3140000
Scotland = 5.44*1000000 = 5440000
Northern Ireland = 1.88*1000000 =1880000
Total = 10460000
In standard form =1.046*10^7
C. Total population as at 2018 = 66460000
expected population by 2041 = 72900000
increase or change = (72900000 - 66460000) = 6440000
% change = (6440000/66460000)*100
= 0.0969003912 * 100
= 9.69003912
= 9.7 to 2sf