Answer:
a=12
Step-by-step explanation:
Roman civilization began in 509 BC and ended in 476 A.D Roman civilization last show working
Answer:
Roman civilization lasted for 985 years.
Step-by-step explanation:
Given that Roman civilization began in 509 BC and ended in 476 A.
All we have to do is to subtract -579 from 476.
i.e.
[tex]476 - (-509)[/tex]
[tex]=476+509[/tex]
[tex]=985[/tex] years
Thus, Roman civilization lasted for 985 years.
19. Find 3 consecutive integers such that twice
the least integer is 12 more than the greatest
integer.
Answer:
et's start by defining the three consecutive integers.
.
If x represents the least of the three, then the next consecutive integer is x+1 and the
next consecutive integer is 1 more than that ... or x + 2
.
So the three consecutive integers are x, x+1, and x+2.
.
Twice the least integer is, as you correctly wrote, 2x.
.
12 more than the greatest integer is x+2 + 12 = x + 14
.
Since these two amounts must be equal, you can write:
.
2x = x + 14
.
Now you need to get rid of the x on the right side so that you end up with all the terms
containing x on one side of the equation and everything else on the other side. You can
get rid of the x on the right side by subtracting x from the right side. But if you subtract
something from the right side, you must also subtract it from the left side to keep the
equation in balance. So subtract x from both sides. When you do that, the x disappears
from the right side and the left side becomes 2x minus x which is just x.
.
So the equation is reduced to:
.
x = 14
.
If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the
three consecutive integers are 14, 15, and 16.
.
Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more
than the greatest integer which is 16? Yes it is, so the problem checks.
.
You were on the right track, but you just needed to know the difference in the three integers
was that they were x, x+1, and x+2. Hope this helps to show you how you could work the
problem through to get the final answer.
Step-by-step explanation:
Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a? -9 -3 3 9
Answer:
9
Step-by-step explanation:
because thats the answer i just did the quiz
have a good day
The solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
How to find the solution to a quadratic equation?Given the quadratic equation
(x+2)^2=a
If one of the solution is 1, then x = 1
substitute
(1 + 2)^2 = a
3^2 = a
a = 9
Hence the solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
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Can someone plz explain I would appreciate it
Answer:
Angle of depression
Step-by-step explanation:
brainlest for whoever gets it right
3/4 - 1 and 1/2
Answer:
-0.75
Step-by-step explanation:
Answer: the answer would be -0.75, or -3/4
Find the slope of each line in the figure.
Slope of p =
Slope of q =
Slope of r =
Slope of m =
Slope of n =
Answer:
slope of p= -7/12
slope of q= -3/6.8
slope of r= -16/6.4
slope of m= 6.2/15.5
slope of n= 6.8/17
Step-by-step explanation:
The slopes of the line are given as 2.5 for p and q and -2.5 for r, m and n respectively.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The slope of the given lines can be obtained as follows,
(a) In order to find slope of line p,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-3 - 8)/(0.4 - (-4))
⇒ m = -2.5
(b) In order to find slope of line q,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - 0)/(6.8 - 12)
⇒ m = -2.5
(c) In order to find slope of line r,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - (-3))/(6.8 - 0.4)
⇒ m = 2.5
(d) In order to find slope of line m,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-15.5 - 0)/(0 - 6.2)
⇒ m = 2.5
(e) In order to find slope of line n,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-5 - 12)/(- 6.8 - 0)
⇒ m = 2.5
Hence, the slopes of first two lines are 2.5 and of the remaining three are 2.5.
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Consider the equation 1.5x+4.5y=18. For each question, explain or show your reasoning.
Where does the graph intersect the y-axis (answer should be an ordered pair)?
Given:
The equation is
[tex]1.5x+4.5y=18[/tex]
To find:
The y-intercept (in ordered pair).
Solution:
We have,
[tex]1.5x+4.5y=18[/tex]
Putting x=0, we get
[tex]1.5(0)+4.5y=18[/tex]
[tex]0+4.5y=18[/tex]
[tex]4.5y=18[/tex]
Divide both sides by 4.5.
[tex]y=\dfrac{18}{4.5}[/tex]
[tex]y=4[/tex]
So, y-intercept is 4.
Therefore, the graph intersect the y-axis at (0,4).
Find the LCM of 3, 5, and 20.
Plz help
Answer:
60
Step-by-step explanation:
3×20 is 60, and it works with 5, and it is the smallest possible Multiple
Answer:
60
Step-by-step explanation:
Find the prime factorization of each number:
3 = 3
5 = 5
20 = 2^2 * 5
LCM = product of common factors with greatest exponent and non-common factors.
LCM = 3 * 5 * 2^2 = 15 * 4 = 60
If x = 14, which equation is true?
A.3 ( 20 − x ) = 44
B.3 ( 12 − x ) = 6
C.2 ( x − 3 ) = 22
D.2 x − 3 = 22
Answer:
C. 2 ( x − 3 ) = 22Step-by-step explanation:
if x = 14
2 ( x − 3 ) = 22
2 (14 - 3) = 22
2 (11) = 22
22 = 22
therefore, the answer is C.
The point 3/4 of the way from A(-4,- 7) to B(12, 5)
Answer:
The coordinates of C are (8,2)
Step-by-step explanation:
We are given the segment from A(-4,-7) to B(12,5) and it's required to find a point C(x,y) that is located at 3/4 of the distance from A to B.
This means that:
[tex]d_{AC}=3/4\cdot d_{AB}[/tex]
where dAC is the distance from A to C and dAB is the distance from A to B.
The same proportion of the distances is satisfied by the coordinates of the point C, that is:
[tex]\displaystyle x-x_A=\frac{3}{4}(x_B-x_A)[/tex]
Adding xA:
[tex]\displaystyle x=\frac{3}{4}(x_B-x_A)+x_A[/tex]
[tex]\displaystyle x=\frac{3x_B+x_A}{4}[/tex]
Similarily:
[tex]\displaystyle y=\frac{3y_B+y_A}{4}[/tex]
Calculating:
[tex]\displaystyle x=\frac{3(12)-4}{4}[/tex]
x = 8
[tex]\displaystyle y=\frac{3(5)-7}{4}[/tex]
y = 2
The coordinates of C are (8,2)
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction
Given:
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
To find:
The correct multiplication that can be used to check this division problem.
Solution:
We have,
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]
Multiply both sides by [tex]\dfrac{4}{15}[/tex].
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].
Therefore, the correct option is B.
Answer:
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction
Two-fifths times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 15 Over 4 EndFraction
Five-halves times StartFraction 15 Over 4 EndFraction
Step-by-step explanation:
( B) AKA 3/2 x 4/15 . This is correct because I just took the test
How do you name the median of this triangle?
Answer:
F
Step-by-step explanation:
The median is always the letter in the middle
The fraction 13/16 is closest to which benchmark?
zero
three-sixteenths
one-half
one
Answer:
♡ madeline here ♡
- 1 is your answer. ✿
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
I’m offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question.
PLZ HELP :)
The graph of linear functions f(x) and g(x) are shown on the graph. Which function is best represented by the graph of g(x)?
A. g(x) = 3f(x)
B. g(x) = f(x)+3
C. g(x) = f(x-3)
D. g(x) = f(x+3)
The formula for the volume of a cylinder is V = arh.
Solve v = 12h for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
You would divide it by pie r squared to get h then flip the equation around so it would be
h= v/ pie r squared
Answer:
A) H= V/ π r^2Explanation
V = π r^2 H
V = π × r × r × H
V/ π r^2 = H
H = V/π r^2
A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation
Answer:
Step-by-step explanation:
Multiply the members of the revenue equation by 2:
system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29
Three linear equations in three unknowns. Solve.
(SHOW YOUR WORK) 67.5+23.57
What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon
Answer:
180 degrees
Step-by-step explanation:
Cara deposited $200 dollars into her savings account bringing her balance up to $450. Which equation can be used to find, x, the savings account balance before the $200 deposit?
A x + 200 = 450
B x200=450
C x−200=450
D 200x = 450
Answer:
A. x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
A x + 200 = 450
The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answer: length=27, width 9
Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.
Answer:
Length: 27cm
Width: 9cm
Step-by-step explanation:
Since the length of the rectangle is 3 times the width, we can assume the width=x and the length=3x.
P=72cm
Perimeter= 3x+3x+x+x
Set the 2 equations equal to each other
72=3x+3x+x+x
Solve for x
72=8x
9=x
Length=3x
Length=9(3)
Length=27
Width=x
Width=9
what is an y-intercept
Answer:
the point where the line on the graph meets the y-axis
Answer:
What is an y-intercept ?
A y-intercept is in analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x= 0.
Step-by-step explanation:
What is the value of any number raised to the 0 power?
In one year, Linda's parents spend $2400 on cable and internet service. If they spend the same amount each month, what is the resulting monthly change in the family's income? *
Answer: $200
Step-by-step explanation:
Given: In 1 year ,
Linda's parents spend $2400 on cable and internet service.
If they spend the same amount each month, Monthly payment = [tex]\dfrac{\text{Total money spent in 1 year}}{\text{Number of months in a year}}[/tex]
[tex]=\dfrac{\$2400}{12}\ \ \ [\text{Number of months in a year}=12]\\\\=\$200[/tex]
Hence, the resulting monthly change in the family's income = $200
The high temperature on monday was -14 degrees. On Tuesday the high temperature was 24 degrees. Which integer represents the difference in high temperature on these 2 days?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The integer that represents the difference in high temperature from Monday to Tuesday is 38.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The high temperature on Monday was -14 degrees.
On Tuesday the high temperature was 24 degrees.
The temperature difference between Monday and Tuesday.
= Temperature on Tuesday - Temperature on Monday
= 24 - (-14)
= 24 + 14
= 38
Thus,
The integer that represents the difference in high temperature from Monday to Tuesday is 38.
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find the inverse ratio of 12:13
Answer:
13/12
Step-by-step explanation:
Find the area of the triangle.
Answer:
A
Step-by-step explanation:
Solve 2 + 1/6x = -4.
X=
I need help please lol
Answer:
Omg I have a test too and it's due at midnight :/
Step-by-step explanation:
Find the value of x.
Answer:
x = 29
Step-by-step explanation:
The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.
2x - 10 + 4x + 16 = 180
6x + 6 = 180
6x = 174
x = 29