Simplify the following expression:
3[(x³ -7x+1)-(x+4)]
Select all the equations that have the same as 3x - 12 = 24
The equations that have the same solution as 3x - 12 = 24 include:
a. 15x - 60 = 120C. 3x = 36d. x - 4 = 8Given data
3x - 12 = 24
How to find the solution of the given expression3x - 12 = 24
3x = 24 + 12
3x = 36
x = 36 / 3
x = 12
substituting the value of x in the equations to get to check if the value is same for the given question
a. 15x - 60 = 120
15 * 12 - 60 = 120
180 - 60 = 120
120 = 120 correct
b. 3x=12
3 * 12 = 12
36 ≠ 12 incorrect
C. 3x = 36
3 * 12 = 36
36 = 36 correct
d. x - 4= 8
12 - 4 = 8
8 = 8 correct
e. 12x - 12 = 24
12 * 12 - 12 = 24
144 - 12 = 24
132 ≠ 24 incorrect
Hence we can say that the equations that have same solution as the given equation are options A, C, and D
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complete question
The complete question is attached
help plsssssssssssssssssssssssssssss
Answer:
8.3x10^1
Step-by-step explanation:
you don't even need to do any math for this question. just look for the number between 1 and 10
Jsut need the answer please
Answer:
h(t) decreases by a factor of 1.95
Step-by-step explanation:
- 1.95
h(t) decreases by a factor of 1.95
14. Error Analysis Adam is asked to construct the
bisector of R. Explain the error in Adam's work.
MP.3
R
X
TOPIC 1 Foundations of Geometry
Option C) is correct which is Adam started the construction at the wrong place. He should have started at point R and drawn an arc across both rays.
According to the question we can see that Adam first draws an arc on a line and draws the bisector, which gives him the error.
We know that when we construct an angle bisector, first we put the compass on the point of the angle and make an arc and from that arc we make two arcs that intersect at a point. Then we draw a ray from the point of angle to that intersecting point which gives us the angle bisector.
Here Adam didn't draw the arc from point R.
Thus, Adam started the construction at the wrong place. He should have started at point R and drawn an arc across both rays.
Hence option C) is the correct option.
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39,004 in expanded form
30,000 9,000 4 this it the answer to your question
Find the equation of the line that contains point (1,6) with a slope of -1/4. Write the answer in slope-intercept form.
Answer:
Step-by-step explanation:
Write equation in point slope form:
y - y1 = m(x - x1), where m is slope and (x1,y1) is a point on the line
Here m = 1/4 and (x1,y1) = (0,-6)
y--6 = 1/4(x - 0)
y+6 = 1/4x
in slope-intercept form
y = 1/4x - 6
to find x-intercept, substitute 0 for y and solve for x
to find y-intercept, substitute 0 for x and solve for y
The gestation period of humans (266 days) is _____ percent longer than the gestation period of dogs (65days).
The gestation period of humans is 309.23% percent longer than the gestation period of dogs.
What is the percentage?
Percentage is the fraction out of an amount that is expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %. In order to convert a number to percentage, express the number as a fraction and multiply by 100.
Percent of gestation period = (difference in the gestation period of dogs and humans / gestation period of humans) x 100
[(266 - 65) / 56] x 100
(210 / 65) x 100 = 309.23%
A second method :[ (gestation period of humans / gestation period of dogs) - 1] x 100
[(266 / 65) - 1] x 100 = 309.23%
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When turning the decimal to a fraction how do I do that? I’m confused
Ok so I was very confused on this too. Not even going to lie to ya, I struggled with this for a long time. However once you get the hang of it, it's actually rather simple.
So, lets try a problem. What is 0.04 as a fraction?
Well, we know that 0.04 is 4%. And you can do [tex]\frac{4}{100}[/tex] which is 0.04, or 4%
Does that make sense? If not let me explain it a little more.
Well basically all you have to do is put that number over 100.
Here are some examples of decimals to percentage to fraction:
0.5 = 50% = [tex]\frac{50}{100}[/tex] or in simplest form [tex]\frac{1}{2}[/tex]
0.11 = 11% = [tex]\frac{11}{100}[/tex]
0.03 = 3% = [tex]\frac{3}{100}[/tex]
I really hope this helped you!!!
If not let me know how i can explain it and what doesn't make sense!
Answer: To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, [tex]\frac{6}{10}[/tex]. If needed, simplify the fraction.
Step-by-step explanation:
Which of the following points are located 3 units from (-4,-2) ? Select all that apply.
The points that are located 3 units from (-4,-2) are (-1, 2), (-7, 2), (-4, -1) and (-4, 5)
How to determine which of the points is located 3 units from (-4,-2)?The point is given as
Point = (-4, 2)
The distance is given as
Distance = 5
The points that are located 3 units from (-4,-2) are calculated using
Points = (x ± 3, y) and (x, y ± 3)
So, we have
Points = (-4 ± 3, 2) and (-4, 2 ± 3)
Expand
Points = (-4 + 3, 2), (-4 - 3, 2), (-4, 2 - 3) and (-4, 2 + 3)
Evaluate the sum and the difference
Points = (-1, 2), (-7, 2), (-4, -1) and (-4, 5)
Hence, the points that are located 3 units from (-4,-2) are (-1, 2), (-7, 2), (-4, -1) and (-4, 5)
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1) In Blind Lake, the fish population is estimated to be 6,000 this
year. At the beginning of each year, the lake is stocked with 1,000
fish. By the end of the year, 800 more fish have died or been
caught. What will the estimated fish population be in 4 years?
1. It cost Luke $9.12 to send 114 text messages. How
much does each text cost to send?
What are the first five terms in the arithmetic sequence with the recursive formula below?
a1=5
an=an-1+4
Therefore the first five terms are 5, 9, 13, 17, and 21.
Given the first term is 5
a₁ = 5
Given the recursive formula of an arithmetic sequence is
aₙ = aₙ ₋ ₁ + 4
We have to find the first five terms of the arithmetic sequence below
a₂ = a₂ ₋ ₁ + 4
= a₁ + 4
= 5 + 4
= 9
a₃ = a₃ ₋ ₁ + 4
= a₂ + 4
= 9 + 4
= 13
a₄ = a₄ ₋ ₁ + 4
= a₃ + 4
= 13 + 4
=17
a₅ = a₅ ₋ ₁ + 4
= a₄ + 4
= 17 + 4
= 21
Therefore the first five terms are 5, 9, 13, 17, and 21.
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If the sum of a number and three is tripled the result is one less than twice the number. Find the number.
The number in the equation is -10.
Given,
The sum of a number and three is tripled the result is one less than twice the number.
We can take the number as x.
Then,
3(x + 3) = (2x - 1)
Equate the above equation and find x.
3x + 9 = 2x - 1
Add -2x to both sides:
That is,
3x - 2x + 9 = 2x - 2x - 1
x + 9 = -1
Add -9 to both sides:
We get,
x + 9 - 9 = -1 - 9
x = -10.
That is, the number in the equation is -10.
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Given m n, find the value of x.
The value of x from the given parallel lines, using corresponding angles concept, we get 32°.
Given that, straight line m parallel to straight line n and t is the transversal.
The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
Here, x°=32°
Therefore, the value of x from the given parallel lines is 32°.
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Use mental math strategies to solve the equation.
3,500 +
Choose...
= 3,500
Part B
Which property of addition does the equation show?
A.
Associative Property of Addition
B.
Commutative Property of Addition
C.
Distributive Property of Addition
D.
Identity Property of Addition
Answer:
the answer would be A
The ratio of tiger to elephants in a circus is 1 to 3. If there are a total of 48 tigers and elephants in the circus, then how many tigers and elephants are there?
Answer:
There are 12 tigers and 36 elephants.
Step-by-step explanation:
If the ratio of tigers to elephants is 1 to 3, that means that the total would be 4,
so 1/4 of the total would be tigers and 3/4 of the total would be elephands.
1/4 x 48 is 12
and
3/4 of 48 = 36
what is eight times the square a number z minus three in mathematical translate?
Answer:
8*z^2-3
Step-by-step explanation:
the coordinates of a point in the solution set y> -x -1 y>1/3x-5
Answer:
this is not the answering phone num I was just saying I don't know how many people are going to get it
100 points!!! 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.
Multiply or divide as indicated.
x^10/x^4
Answer:
[tex]x^{6}[/tex]
Step-by-step explanation:
To simply exponents in a fraction, subtract the exponent for each variable in the denominator from the exponent in the numerator.
Answer:
[tex]x^6[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{x^{10}}{x^4}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies \dfrac{x^{10}}{x^4}=x^{(10-4)}=x^6[/tex]
A gym charges members $25 for a registration fee, and then $32 per month. You became a member some time ago, and
now you have paid a total of $281 to the gym. How many months have passed since you joined the gym?
months have passed since you joined the gym.
Answer:
It has been 8 months since I joined the gym.
Step-by-step explanation:
1. Subtract the registration fee from the total (which would be $281 - $25 = $256)
2. divide that total by $32 and you will get the total number of months you've gone to the gym. ( which would be $256 ÷ $32 = 8)
3. check your work
m∠DBC=(12x-18) and m∠ABD=(8x+30) what is the value for x ?
The value of x is 12.
Given that the angles are m∠DBC=(12X-18) and m∠ABD=(8x+30).
An angle is made when two rays are joined together at any common point.
We will find the value of x by equating both the given angles as
m∠DBC=m∠ABD
Now, we will substitute the values of angles as
12x-18=8x+30
Further, we will subtract 18 from both sides and simplify it as
12x-18+18=8x+30+18
12x=8x+48
Now, we will subtract 8x from both sides and simplify as
12x-8x=8x+48-8x
4x=48
Now, we will divide both sides by 4, we get
4x/4=48/4
x=12
Hence, the value of x when m∠DBC=(12x-18) and m∠ABD=(8x+30) is 12.
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Which expression represents 7/21
Does this graph show a function? Explain how you know.
A. Yes; the graph passes the vertical line test.
B. No; there are y values that have more than one x-value.
C. Yes; there are no y-values that have more than one x-value.
D. No; the graph fails the vertical line test.
Answer:
No
Step-by-step explanation:
A function has to pass the vertical line test, meaning that if you put a vertical line anywhere on the graph then the line will only intecert the funtion once. Buy in this graph it intercests twice.
There are 5 one-digit numbers in a set of data. The mean is 3, the mode is 1, and the median is 4. What are the numbers in the set of data?
|4y - 10| = 20 for all values of y in simplest form.
Answer: -5/2
Step-by-step explanation:
4y−10∣=20
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. ∣4y−10∣=20 Use the definition of absolute value.
4y−10=20
4y−10=−20
Add 10 to both sides of the equation. 4y=30 which then equals 4y=−10
Divide both sides by 4 to get y = 15 over 2 converted to y = negative 5 over 2
(hope this is helpful)
Urgent (I added 35 points)
The diagram below is drawn on a one-centimetre square grid
Work out the area of the shaded triangle:
Answer:
rr
Step-by-step explanation:
xd
ddddd
Does the expression 2/5c + 1/4c - 1 have like terms?
Answer:
Step-by-step explanation:
The most appropriate form of like terms is given below-
[tex]\frac{2}{5} c[/tex], [tex]\frac{1}{4} c[/tex] are like terms of this expression.
What are like terms?
The terms having same variable raised to same power are called like terms.
Here,
In [tex]\frac{2}{5}c+\frac{1}{4} c -1\\[/tex], [tex]\frac{2}{5} c[/tex] and [tex]\frac{1}{4} c[/tex] have same variable, [tex]c[/tex].
So they are like terms
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AC=64A, C, equals, 64, A B = 7 x + 8 AB=7x+8A, B, equals, 7, x, plus, 8, and B C = 3 x + 6 BC=3x+6B, C, equals, 3, x, plus, 6, Find B C BCB, C.
The numerical length of BC is 36
How to determine the numerical length of BC?The given parameters are:
AC= 64, AB = 7x + 8, and BC = 3x + 6.
The above means that the point B is between points A and C
So, we have
AC = AB + BC
Substitute the known values in the above equation
64 = 7x + 8 + 3x + 6
Evaluate the like terms
10x = 50
Divide both sides by 10
x = 5
Substitute x = 5 in BC = 3x + 6
So, we have
BC = 3 x 10 + 6
Evaluate
BC = 36
Hence, the numerical length of BC is 36
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Complete question
AC= 64, AB = 7x + 8, and BC = 3x + 6. Find BC
You can get 1 cookie for 42 cents or 8 cookies for $3.44. Which is the better deal? How do you know?
Answer:
The better deal is 1 cookie for 42 cents
Step-by-step explanation:
We need to find the price of 1 cookie when the cookies are 8 for 3.44
Divide the total price by the number of cookies
3.44/8
.43
We can get 1 cookie for 42 cents or 1 cookie for 43 cents
The better deal is 1 cookie for 42 cents because it is less money.