Answer:
That would be 24%.
Is the GCF (greatest common factor) of a pair of numbers ever equal to one of the numbers? Explain why or why not.
if you help me you're cool
Answer:
Yes
Step-by-step explanation:
Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.
2 and 200
10 and 100
13 and 52
one thousand and one million
Hi So I know M∠2 + 63° (im pretty sure at least) but what does M∠3 equal?
Answer:
m<2 = 63
m<3 = 117
Step-by-step explanation:
<1 and <2 are alternate interior angles and are therefore equal. M<1 = 63 degrees, so m<2 must be the same thing.
<2 and <3 are on the same straight line.
They are supplementary.
Therefore they equal 180 degrees.
63 + m<3 = 180 Subtract 63 from both sides.
63 - 63 +m<3 = 180 - 63 Collect like terms
m<3 = 117
Lee drove 420 miles and used 15 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline? please help will give brainlist and worth of lot of points please help
Answer:
28 miles per gallon
Step-by-step explanation:
you divide 420 by 15 to see how many miles per gallon and
420 divided by 15= 28 (gallons)
28 miles I think I’m not sure but just divide 15 into 420 and you should get the answer.
Which of the tollowing objects is considered to be one-dimensional because it has length but no width or height?
O A. Line segment
O B. Triangle
O C. Point
O D. Cube
Answer: A. Line segment
Step-by-step explanation:
A line is a one-dimensional geometric straight -undefined figure which has no thickness or depth . It extends infinitely in both directions.
A line segment is a part of a line having end-points on both the sides.
It has only length therefore, it is one dimensional.
Thus , the objects is considered to be one-dimensional because it has length but no width or height is a line segment.
The triangle is 2-dimensional , point has no-dimensions, and cube is 3-dimensional.
A line segment is the correct answer, as in mathematics it is considered one-dimensional because it only has length but no width or height. It extends in one direction, unlike a triangle and a cube, which have more dimensions. The point does not have length.
Explanation:In mathematics, a line segment is considered to be one-dimensional as it only possesses a property of length but no width or height. This means it only extends in one direction, often represented on a number line. In comparison, other options presented such as a triangle, point or cube have other dimensions involved. Specifically, a triangle falls in two dimensions as it has both length and width; a cube is a three-dimensional object possessing length, width, and height; and a point, though it lacks all three dimensions, is not accurate as it doesn't have length, which is the key criterion in the question.
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convert 15000 ounces to tons
Answer:
The answer is 0.42525 TONS (METRIC)
North Carolina has three times the population of Utah and twice the
population of Oregon. Arkansas has 1 million people fewer than Oregon.
If the total population of these four states is 27 million, how many peo-
ple live in each state?
North Carolina = 3 * Utah
North Carolina = 2 * Oregon
Arkansas = Oregon - 1,000,000
North Carolina + Utah + Oregon + Arkansas = 27,000,000
North Carolina = 3 * Utah
Utah = 1/3 * North Carolina
Utah = 1/3 * (2 * Oregon)
(2 * Oregon) + (1/3 * (2 * Oregon)) + Oregon + (Oregon - 1,000,000) = 27,000,000
2O + (1/3 * 2O) + O + O - 1,000,000 = 27,000,000
2O + 2/3O + O + O - 1,000,000 = 27,000,000
4 2/3 O - 1,000,000 = 27,000,000
4 2/3 O = 28,000,000
O = 6,008,584
NC = 2O
NC = 2(6,008,584)
NC = 12,017,167
A = O - 1,000,000
A = 6,008,584 - 1,000,000
A = 5,008,584
NC = 3U
12,017,167 = 3U
U = 4,005,722
The populations of the four states are as follows:
- Utah has a population of 4 million.
- Oregon has a population of 6 million.
- North Carolina has a population of 12 million.
- Arkansas has a population of 5 million.
Let's denote the population of Utah, Oregon, and Arkansas as U, O, and A, respectively. According to the information given:
1. North Carolina has three times the population of Utah: [tex]\( NC = 3U \).[/tex]
2. North Carolina has twice the population of Oregon: [tex]\( NC = 2O \).[/tex]
3. Arkansas has 1 million people fewer than Oregon: [tex]\( A = O - 1 \).[/tex]
4. The total population of these four states is 27 million: [tex]\( U + O + A + NC = 27 \).[/tex]
From equations (1) and (2), we can equate the populations of Utah and Oregon since both are related to the population of North Carolina:
[tex]\( 3U = 2O \) or \( O = \frac{3}{2}U \).[/tex]
Now, substitute the value of O from equation (3) into the total population equation (4):
[tex]\( U + \frac{3}{2}U + ( \frac{3}{2}U - 1 ) + 3U = 27 \).[/tex]
Combine like terms:
[tex]\( U + \frac{3}{2}U + \frac{3}{2}U - 1 + 3U = 27 \),[/tex]
[tex]\( U + 3U + 3U - 1 = 27 \),[/tex]
[tex]\( 7U - 1 = 27 \).[/tex]
Now, solve for U:
[tex]\( 7U = 27 + 1 \),[/tex]
[tex]\( 7U = 28 \),[/tex]
[tex]\( U = \frac{28}{7} \),[/tex]
[tex]\( U = 4 \)[/tex] million.
Now that we have the population of Utah, we can find the populations of the other states:
[tex]\( O = \frac{3}{2}U = \frac{3}{2} \times 4 = 6 \)[/tex] million,
[tex]\( NC = 2O = 2 \times 6 = 12 \)[/tex] million,
[tex]\( A = O - 1 = 6 - 1 = 5 \)[/tex] million.
The second step in solving 1/3n- 7/12 is to divide both sides of the equation by 1/3.
True Or false?
that is true if that's 1/3n=7/12
if it's 1/3n-7/12 then the first step is to equal it to zero
Yes, the second step in solving 1/3n = 7/12 is to divide both sides of the equation by 1/3.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have the equation -
(1/3)n = (7/12)
We have -
(1/3)n = (7/12)
Dividing both sides by (1/3), we get -
[(1/3)/(1/3)]n = [7/12 x 3]
n = 7/4
Therefore, yes, the second step in solving 1/3n = 7/12 is to divide both sides of the equation by 1/3.
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Please help I am on a timer!!!!❤️❤️❤️❤️
Answer:
5
Step-by-step explanation:
There are 9 friends with 4 or 5 pets so, you subtract 9-4 because there are 4 friends with 2 or 3 = 5 because the question is asking how many more.
Sophie drank 8 cups of water one day. How many pints of water did she drink?
Sophie drank 4 pints of water.
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is 4.
She drank 4 pints of water.
Each cup is 1/2 of a pint, so you divide by 2
Therefore, you would get 4 pints of water.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
what is 21ax + 10by - 35ay - 6bx?
Answer:
That is it's simplest form
Step-by-step explanation:
There is no coefficients that are the same
what is the value of x in the equation? 2/3(x+6)=-18
Answer:
C.) -33
Step-by-step explanation:
2/3 (x+6) = -18
x+6 = -27
x = -33
Answer:
B
Step-by-step explanation:
2/3*(x + 6) = -18
Multiply by 3
2(x + 6) = -18*3
2(x + 6) = -54
Remove the brackets
2x + 12 = - 54
Subtract 12 from both sides
2x+12-12 = - 54 - 12
Combine like terms
2x = -66
Divide by 2
2x/2 = -66/2
x = -33
Answer B
find the zeros of f(x)=x^2+2x-8
Answer:
(x - 2) (x +4)
Step-by-step explanation:
Find what two numbers multiplied make -8 and those same numbers will equal 2 when they are subtracted. So...
4 x -2 = 8
4 - 2 = 2
So, (x - 2) (x + 4)
Answer:
(2,-4)
Step-by-step explanation:
Please I Need help ASAP plz
The student did not solve it correctly. They forgot to add the 5 foot height to the value of x.
The correct height is 23.4 feet, I know because I added 5 to the value of x.
hurry quick I will give you brainiest
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.
Answer:
multiple 6 with numbers inside paranthesis:
12x - 66 + 15 = 21
add 66 fhen substrack 15 from both sides :
12x = 72 divide both sides with 12:
x = 6
Step-by-step explanation:
In his answer above he didn’t add 81 to both sides. (Somebody correct me if I’m wrong)
QUIIC PLEASE NO EXPLANATION NEEDED
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ x=-2, no explanation
✽
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TROLLER
There always needs to be an explanation so you understand it!
Follow this step by step.
#1. Remove all -1 on both sides.
You are left with 2(x+3)+x=0.
#2. Expand the equation.
2x+6+x=0.
#3. Simplify 2x + 6 + x to 3x + 6.
3x+6=0
#4. Subtract 6 from each side.
3x=−6.
#5. Divide both sides by 3.
x = -6/3.
#6. Simplify 6/3 to 2.
x = 2.
Therefore, you get [tex]\fbox{x = 2}[/tex].
A figure is composed of two half-circles.
What is the approximate perimeter of the
figure?
14
t 14
La
14
A 110 units
C 220 units
D 248 units
B 138 units
Answer:
The answer is C, 220 units.
Help please ! It is precal
Answer:
The answer is the third
S = 16 t²
Step-by-step explanation:
* Lets study the order pairs in C to find what is the relation
between the input (t) and the output (S)
∵ C = {(t , S): (0 , 0) , (1 , 16) , (2 , 64) , (3 , 144) , .............}
∵ (0 , 0) is the first point
∴ There is no plus or minus in the relation between S and t
∴ We refused the last answer S = 16(t + 1)² because
if t = 0 then S = 16(0 + 1) = 16 ≠ 0
- If we chose the first answer:
∵ S = 16t
∵ t = 0 ⇒ S = 16(0) = 0 ⇒ its right
∵ t = 1 ⇒ S = 16(1) = 16 ⇒ its right
∵ t = 2 ⇒ S = 16(2) = 32 ⇒ its wrong
∴ We refused the first answer
- If we chose the second answer:
∵ S = (16t)²
∵ t = 0 ⇒ S = (16×0)² = 0 ⇒ its right
∵ t = 1 ⇒ S = (16×1)² = 256 ⇒ wrong
∴ We refused the second answer
- If we chose the third answer:
∵ S = 16 t²
∵ t = 0 ⇒ S = (16)(0)² = 0 ⇒ its right
∵ t = 1 ⇒ S = (16)(1)² = 16 ⇒ its right
∵ t = 2 ⇒ S = (16)(2)² = 16 × 4 = 64 ⇒ its right
∵ t = 3 ⇒ S = (16)(3)² = 16 × 9 = 144 ⇒ its right
∴ every time we multiply 16 by the square of the value of t
∴ We accept the third answer
what is the equation of the line that passes through (1,2) and is parallel to the line whose equation is 4x+y-1=0?
1. 4x-y-6=0
2. 4x+y-6=0
3. 4x+y+6=0
the answer would 4x+y+6=0
Answer:It is very easy to work out, you just have to put them into slope-intercept form which is y=mx+b
Step-by-step explanation:
Florence has a health insurance policy with a $1,500 deductable and 4% co-pay on the next $10,000. What would most likely increase her premium?
A. increasing the co-pay to 5%
B. decreasing the co-pay to 2%
C. increasing the deductible to $2,500
D. adding fixed co-pays for doctors' visits
is 25% of a whole always the same amount ?
Answer:
Not, will be the same proportion but the amount vary depending the specific case.
Best regards
Plz help me with it
Answer: 5
Step-by-step explanation:
[tex]\sqrt{4x+5}-\sqrt{x-1}=\sqrt{x+4}\\\\(\sqrt{4x+5}-\sqrt{x-1})^2=(\sqrt{x+4})^2\\\\4x+5-2\sqrt{(4x+5)(x-1)}+x-1=x+4\\\\5x+4-2\sqrt{(4x+5)(x-1)}=x+4\\\\4x=2\sqrt{(4x+5)(x-1)}\\\\2x=\sqrt{(4x+5)(x-1)}\\\\(2x)^2=(\sqrt{(4x+5)(x-1)})^2\\\\4x^2=(4x+5)(x-1)\\\\4x^2=4x^2+x-5\\\\0=x-5\\\\5=x\\\\\\Check:\\\sqrt{4(5)+5}-\sqrt{(5)-1}=\sqrt{(5)+4}\\\\\sqrt{25}-\sqrt{4}=\sqrt9\\\\5-2=3\ \checkmark[/tex]
3^0·10^(-4)=
a)-120
b)1
c)1/10,000
Answer:
b
Step-by-step explanation:
3^0
a circle diameter of 11 in what is the area of the circle
Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
First, we can put in our values. For now, we can leave [tex]\pi[/tex] alone.
Our radius is 5.5 so we have to square it which gives us a product of 30.25
then, we can multiply our radius squared by [tex]\pi[/tex] and we get
Area, A = 95.033177771091 [tex]in^{2}[/tex]
A rectangle retaining wall has area of 15 square feet.The height of the wall is two feet less than its length.find the height and the length of the wall
Answer:
The wall is 3 ft high and 5 ft long.
Step-by-step explanation:
Recall: Area of the rectangular wall is A = (length)(height).
Let the height be represented by h. Then the length is represented by h + 2.
The formula A = (length)(height) then becomes A = h(h+2) = 15 ft², which, written in the standard form of a quadratic equation, is h² + 2h - 15 = 0.
Let's solve this last equation for h using completing the square:
h² + 2h - 15 = 0 becomes h² + 2h + 1 -1 - 15 = 0, or (h + 1)² = 16. Taking the square root of both sides, we get:
h + 1 = ±4, which is equivalent to h = 3 and h = -5. Discard the negative result. Then h = 3 and w = 3+2 = 5.
The wall is 3 ft high and 5 ft long. Its area is (3 ft)(5 ft) = 15 ft²
The height and the length of the rectangular wall is 3 feet and 5 feet respectively.
What is the height and the length of the wall?Area of a rectangle = 15 square feet
Length = x feet
Height = (x - 2) feet
Area of a rectangle = height × length
15 = x × (x - 2)
15 = x² - 2x
set to quadratic equation
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
x + 3 = 0 or x - 5 = 0
x = -3 or x = 5
The length of a rectangle cannot be negative
Therefore,
Length = x feet
= 5 feet
Height = (x - 2) feet
= 5 - 2
= 3 feet
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What is 20% out of 10
Answer:
2
Step-by-step explanation:
Well it’s like, 20 percent of 100% percent it will always be two. I hope you understand am very hard at explaining
Answer:
2
Step-by-step explanation:
You run 4 3/4 miles through a park each day. If you ran that distance 5 times last week, how many miles did you run?
A:20 3/4 miles
B:23 3/4
C:9 3/4
D:12 3/4
I need help please!!
Answer: B: 23 3/4
Step-by-step explanation:
You have to multiply 4 3/4 by 5 in order to get your answer. Turn 4 3/4 into an improper fraction which would be 19/4. Then multiply it by 5; 19/4 times 5 equals 95/4. You then divide 95 by 4 which equals 23 3/4.
Answer:
Your answer is 23 3/4
Step-by-step explanation:
What is the surface area of the stand
?
Step-by-step explanation:
first you have to add the PIC to have us answer
which graph represents the function f(x) =-lx-2l-1
It’s the second one from the right
Since there’s a - behind x it means it has to be facing down so it’s either 2 or 4
Now it’s x-2 and we know that x moves the opposite so it needs to move 2 to the right so the answer is 2
HELP ASAPPPP!!!!!!!
1. In the figure below, ABC ~ PQR. If the area of ABC is 40 cm2, what is the area of PQR? Show your work.
Answer:
[tex]90cm^2[/tex]
Step-by-step explanation:
The side length AB of triangle ABC corresponds to side length of PQ of triangle PQR.
The scale factor from ABC to PQR is [tex]k=\frac{6}{4}=1.5[/tex]
The area of triangle PQR will change by [tex]k^2=1.5^2=2.25[/tex] centimeters square.
Since we know the area of triangle ABC to be [tex]40cm^2[/tex], the area of triangle PQR [tex]=2.25\times 40=90cm^2[/tex]
Answer:
The area of the triangle PQR is 90 cm^2.
Step-by-step explanation:
We are given two triangles, ABC and PQR, which are similar to each other.
If two triangles are similar, then the ratio of their areas is the square of the ratio of their sides.
Given that area of the triangle ABC is [tex]40cm^2[/tex], we are to find the area of the triangle PQR.
Finding the scale factor [tex]k=\frac{6}{4} =1.5[/tex]
So square of this scale factor will be [tex]k^2=(1.5)^2=2.25[/tex]
Area of triangle PQR = [tex]2.25 \times 40[/tex] = 90cm^2
What is the equation of a line passing through (-3,7) and having a slip of -1/5
A.y=-5x+22
B.y=5x+33
C.y=1/5x+32/5
D.y=-1/5x+32/5
E.y=-1/5x+22
Answer:
[tex]\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = -1/5. Substitute:
[tex]y=-\dfrac{1}{5}x+b[/tex]
Put the coordinates of the given point (-3, 7) to the equation:
[tex]7=-\dfrac{1}{5}(-3)+b[/tex]
[tex]7=\dfrac{3}{5}+b[/tex] subtract 3/5 from both sides
[tex]6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}[/tex]