Answer:
x² ≥ 0 for all x.
(x + 2)(x - 7) ≥ 0 when x ≤ -2 or x ≥ 7.
So x²(x + 2)(x - 7) ≥ 0 when x ≤ -2 or
x ≥ 7.
Solve 36+57 on a number line
36
+57
------
93
On a number line: Start at 0. Count forward until you reach 36. Once you've reached 36, Mark it. Then you go forward 57, from the mark you made at 36. You should end up on 93 on the number line.
9. An Integer is 10 times the difference of a rational number and
what is the value of the rational number?
tonal number and 5. If the value of the integer is 124,
Equation
To find the value of the rational number, set up an equation using the representation of the integer as 10 times the difference of the rational number and 5. Solve the equation to find the value of the rational number, which is 17.4.
Explanation:To find the value of the rational number, we can use the given equation: An Integer = 10 times the difference of the rational number and 5.
Let's denote the rational number as x. According to the equation, the integer can be represented as 10(x - 5).
Since the value of the integer is 124, we can set up the equation: 10(x - 5) = 124.
Solving for x, we can divide both sides of the equation by 10 to isolate x: x - 5 = 12.4.
Finally, add 5 to both sides to find the value of x: x = 17.4.
Therefore, the value of the rational number is 17.4.
With a tank of gas, if you can drive 475 miles, your car uses 12 miles per gallon. Write an equation to model this situation
How many liters are in 14 quarts?
Answer:
13.2 liters
Step-by-step explanation:
Answer:
13.2489412
Step-by-step explanation:
five less than the product of 3 and a number of 40 . Write in an equation
Answer:
I don't get the "number of 40" part, but here's my best shot!
3(40x)-5
Step-by-step explanation:
Answer:
(3*40)-5=115
Step-by-step explanation:
A person who weighs 125 pounds on Earth would weigh 47 2/10 pounds on Mercury. Set up a proportion and solve using means and extremes to determine how much a child who weighs 50 pounds on Earth would weigh on mercury.
The amount of weight for a child who weighs 50 pounds on Earth would weigh on mercury would be = 18.88Ib.
How to calculate the weight of a child in Mercury?To determine the weight of a child using means and extremes, the following steps should be taken as follows;
The ratio of the weight of the child on Earth and Moon = 125: 47 2/10
That is; 125: 47.2
Therefore 50Ib on earth would= ?
That I ;
125 = 47.2
50 = X
make X the subject of formula;
X = 50× 47.2/125
= 2360/125
= 18.88Ib.
Learn more about weight here:
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"One less than
half a number is
a maximum of 19"
Which is an algebraic expression for the word phrase "8 less than the product of 12 and a number x"? A. 12x – 8 B. 8 – 12x C. 12 – 8x D. 8x – 12
Answer:
A
Step-by-step explanation:
A product is the answer you get when you multiply 2 numbers together.
So you are starting backwards. Get the product first.
12*x
Now you want to take 8 away from it.
12x - 8 is what you get.
A
Answer:
A
Step-by-step explanation:
123,608,902.904.Written in words
Answer:
One hundred and twenty three million six hundred and eight thousand nine hundred and two point nine hundred and four. Hope this helps you!
Point I is on line segment HJ. Given H I = x, H J = 3x – 9, and
IJ = x + 5, determine the numerical length of HJ.
Answer:
HJ = 33
Step-by-step explanation:
Given that point I is on segment HJ, then
HJ = HI + IJ ← substitute values
3x - 9 = x + x + 5, that is
3x - 9 = 2x + 5 ( subtract 2x from both sides )
x - 9 = 5 ( add 9 to both sides )
x = 14
Hence
HJ = 3x - 9 = (3 × 14) - 9 = 42 - 9 = 33
The numerical length of HJ is 33
The given parameters;
distance of HI = x
distance of HJ = 3x - 9
distance of IJ = x + 5
To find:
the numerical length of HJA sketch of the positions of the line segments is shown below;
|<-----x------->|<--------------------------x+5------------------------------>|
H---------------I----------------------------------------------------------------J
The value of x will be calculated by setting up the following equation;
HI + IJ = HJ
x + x + 5 = 3x - 9
2x + 5 = 3x - 9
collect similar terms together;
2x - 3x = -9-5
-x = -14
x = 14
The numerical length of HJ is calculated as;
HJ = 3(14) - 9
HJ = 42 - 9
HJ = 33
Thus, the numerical length of HJ is 33
Learn more here: https://brainly.com/question/20385175
Solve the system. -4= x - y 4= -x + y
Answer:
x-y=-4
y-x=4
y=x+4
(x,y)=(1,5),(2,6),(3,7),...
u see it doesn't have a particular answer any pair of numbers with 4 difference will do
Jessica bought a soft drink for 2 dollars and 6 candy bars she spent a total of 14 dollars how much did each candy bar cost?
Answer:2 per candy bar
Step-by-step explanation:
14-2=12 12/6=2
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday Temperature (degrees F) 49 55 52 46 47 42 38 Julia measured the high temperature in her town for one week. Using the chart above, find the mean absolute deviation for the high temperatures. Round your answer to the nearest tenth. Be sure to show your work for finding: the mean of the set of data the distance of each number from the mean the mean absolute deviation
Answer:
[tex]4\dfrac{2}{7}[/tex]
Step-by-step explanation:
How to calculate the mean absolute deviation:
Step 1: Calculate the mean.
[tex]\text{Mean}=\dfrac{49+55+52+46+47+42+38}{7}=47[/tex]
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
[tex]\begin{array}{ccccccc}\text{Sun}&\text{Mon}&\text{Tue}&\text{Wed}&\text{Thu}&\text{Fri}&\text{Sat}\\49&55&52&46&47&42&38\\2&8&5&1&0&5&9\end{array}[/tex]
Step 3: Add those deviations together.
[tex]\sum|\text{mean}-x_i|=2+8+4+1+0+5+9=30[/tex]
Step 4: Divide the sum by the number of data points.
[tex]\text{MAD}=\dfrac{\sum|\text{mean}-x_i|}{n}=\dfrac{30}{7}=4\dfrac{2}{7}[/tex]
Answer:
4 2/7
Step-by-step explanation:
The following system has no solution.
x+y+z= 15
2x+z = 1
27-z=7
true or false
Answer:
False
Step-by-step explanation:
Let us start with the most obvious one:
27 - z = 7
-27 - 27
_________
-z = -20
z = 20 [Plug this back into the other two equations to get the y-coordinate and x-coordinate of 4½ and -9½]; 4½ = y; -9½ = x
So, the solution is [-9½, 4½, 20].
I am joyous to assist you anytime.
Please only do 40 (a,b, and c)
a)
well, we know the final score is just the sum of "t" and "i", so hmmm we can just call the final score say "f", thus f = t + i.
b)
student A
f = 30 + 40 => f = 70.
student B
f = 40 + 20 => f = 60.
student C
f = 30 + 50 => f = 80.
c)
the highest score above is from student C or 80, in order to have a higher score than that you would need a final score of 81. You already earned 35 points for "t", so from "i" you'd need 81 - 35 = 46, so if you earn for interpretation 46 points, your final score will be f = 35 + 46 => f = 81.
Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set
of this problem?
-
Answer:
x-1÷2/5=x+1÷3/5
Step-by-step explanation:
Hint: Is means equals.
URGENT!! PLEASE ANSWER!
After completing the wood trim on her kitchen cabinets, Candice has 38 inches of trim left. She decides to make a picture frame out of the wood. She wants to make the frame so that the length is 5 inches less than three times the width. What must the dimensions be?
Answer:
The dimensions of the frame must be 13 inches and 6 inches
Step-by-step explanation:
* Lets explain how to solve the problem
- The perimeter of any quadrilateral is the sum of the lengths of its sides
- The rectangle is a quadrilateral with each two opposite sides are
equal so the perimeter of the rectangle = 2l + 2w, l and w are the
length and the width of it
- Candice has 38 inches of trim
- She wants to make a picture frame
- The frame is shaped a rectangle where its length is 5 inches less
than three times the width
- Assume that the length is l and the width is w are the dimensions
of the frame
∵ l = 3w -5 ⇒ (1)
∵ The perimeter of the frame is the length of trim
∵ The length of the trim is 38 inches
∴ The perimeter of the frame is 38 inches
∵ Perimeter of the frame = 2l + 2w
∴ 2l + 2w = 38 ⇒ (2)
- Substitute equation (1) in equation (2)
∴ 2(3w - 5) + 2w = 38
- Multiply the bracket by 2 and add like terms
∴ 6w - 10 + 2w = 38
∴ 8w - 10 = 38
- Add 10 for both sides
∴ 8w = 48
- divide both sides by 8
∴ w = 6
- Substitute the value of w in equation (1) to find l
∵ l = 3w - 5
∴ l = 3(6) - 5 = 18 - 5 = 13
∴ l = 13
∵ l and w represent the length and the width of the frame
∴ The dimensions of the frame must be 13 inches and 6 inches
Find the value of x. If necessary, round to the nearest tenth.
7.3 in.
10.4 in.
5.2 in.
8.8 in.
Answer:
7.3 in
Step-by-step explanation:
area = 27 = 54/2 = (x^2)/2
so what squared is 54?
7.34 whatever inches.
round it down, that's 7.3.
Answer: 7.3 in
Step-by-step explanation:
To find the the value of x, we will simply use the formula of area of a triangle, substitute the values and then solve.
From the diagram above, the height of the triangle is x and also the base of the triangle is also x, the area of the triangle is 27 sq. in
Area of a triangle = [tex]\frac{1}{2}[/tex] base × height
27 = [tex]\frac{1}{2}[/tex] × x × x
27 = [tex]\frac{1}{2}[/tex] × x²
27 = [tex]\frac{x^{2} }{2}[/tex]
cross multiply
2 × 27 = x²
54 = x²
Take the square roots of both-side
√54 = √x²
7.3 = x
x = 7.3
Therefore the value of x is 7.3 in.
Jogging is one of the few sports that has been consistently increasing over the past few years. The number of people jogging (in millions) from the years 2000 to 2009 is given by the equation y equals x plus 16, where x is the number of years after 2000.
a. Use this equation or a graph of it to complete the ordered pair (2, ).
b. Write a sentence explaining the meaning of the answer to part (a).
c. If this trend continues, how many joggers will there be in 2023?
Answer:
a. The ordered pair is (2 , 18)
b. The number of people jogging in year 2002 was 18 millions
c. There will be 39 millions joggers in year 2023
Step-by-step explanation:
* Lets explain how to solve the problem
- The equation y = x + 16 represents the number of people jogging
in millions from year 2000 to 2009 where y is the number of people
and x is the number of years after 2000
- That means at year 2000 the value of x = 0 and the number of people
jogging was 16 millions
- The equation represented graphically by line
a.
- The ordered pair (2 , ?) means x = 2 and we need to find y when x = 2
- Substitute x by 2 in the equation
∵ y = x + 16
∵ x = 2
∴ y = 2 + 16 = 18
* The ordered pair is (2 , 18)
b.
∵ y represents the number of people jogging in millions
∵ x represents the number of years from year 2000
- That means the number of people jogging in year 2002 was 18
millions
* The meaning of the answer of part (a) is :
The number of people jogging in year 2002 was 18 millions
c.
- If this trend continues means the equation will be the same for years
after 2009
∵ In year 2023 ⇒ x = 23
∵ y = x + 16
∴ y = 23 + 16 = 39
* There will be 39 millions joggers in year 2023
What is the area of the shaded region?
21 mm
24 mm
42 mm
48mm
How many factors of 3 does the number 135 have?
Answer:Prime factorization:
135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5. 1 + 3 + 5 = 9. Nine is a multiple of both 3 and 9, so this quick divisibility trick lets us know that both 3 and 9 are factors of 135. 135 = 1⁵ x 3³ x 5¹.
Answer:
The answer is three times 3.
Step-by-step explanation:
In order to determine the answer, we have to know about factorization.
Any number can be expressed by prime numbers. The procedure is:
if the number is even, to divide the number by the first prime number, 2.if the number is odd, to divide the number by some odd prime number.In this case, we need to know how many factors of 3 have the number.
[tex]135/3=45\\45/3=15\\15/3=5\\5/5=1\\\\135=3^3*5[/tex]
As we can see, there are three times the factor 3.
Finally, the answer is three times 3.
Why is a parallelogram not the same of quadrilateral as a trapezoid? Explain how you know.
A parallelogram has 2 sets of parallel sides. However, a trapezoid only has 1 set.
What is the value of x?
x + 1/3 = 9
Enter your answer in the box in simplest form.
Answer:
x= 8 2/3
Step-by-step explanation:
subtract 1/3 from both sides. 9-1/3 is 8 and 2/3.
Choose the equation that represents a line that passes through points (-6,4) and (2,0).
A) x+2y= 2
B) 2x-y= -16
C) x+2y= -8
D) 2x+y= 4
Please give a detailed explanation on how you solved the problem.
Answer:
A.
Explanation:
Just plug in the points to each equation.
A. x + 2y = 2
Plugging in (-6,4) (-6) + 2(4) = 2 ---> -6 + 8 = 2
Plugging in (2,0) (2) + 2(0) = 2 ---> 2 + 0 = 2
B. 2x + y = -16
Plugging in (-6.4) 2(-6) + (4) = -16 ---> -12 + 4 = -16 --> -8 [tex]\neq -16[/tex]
Because the first point didn't work there is no need to check the second one.
C. x + 2y = -8
Plugging in (-6,4) (-6) + 2(4) = -8 ---> -6 + 8 = -8 --> 2[tex]\neq -8[/tex]
Again, because the first point didn't work there is no need to chek the next.
D. 2x + y = 4
Plugging in (-6,4) 2(-6) + (4) = 4 ---> -12 + 4 = 4 --> -8[tex]\neq 4[/tex]
Even though the answer was A. you should still check each on of them because there can always be a mistake in your work.
Answer:
A
Step-by-step explanation:
To find the equation of a line, the first thing that must be determined is the lines gradient. This can be determined by using the formula:
m = (Δy) / (Δx)
m = (4-0) / (-6-2)
m = 4 / -8
m = -0.5
The gradient has been determined, now we determine the y-intercept by using a point it passes through (either point cant be used because the line will pass through bother coordinates given)
y = mx + c (Using the point (2,0))
0 = (-0.5)(2) + c
c = 1
Since we have the y-intercept, a formula can be created for the line, and rearranging it, we can then find the correct option.
y = mx + c
y = (-0.5)x + 1
2y = -x + 2
x + 2y = 2
What inequality is graphed below?
x < -4
x ≤ -4
x ≥ -4
x > -4
Answer:
The answer is x>-4
Answer:
2342423
Step-by-step explanation:
asdadadsada
In the past,younglin has painted a total of 5 pictures.She now intends to paint 7 pictures every two weeks.Make a table showing the total number of pictures younglin will have painted at the end of every two weeks.
Answer: see table
Step-by-step explanation:
The number of weeks are multiples of 2 (every 2 weeks) and the number of paintings are multiples of 7 (7 paintings every 2 weeks).
[tex]\begin{array}{c|c}\underline{\text{Week}}&\underline{\text{Paintings}}\\2&7\\4&14\\6&21\\8&28\\10&35\\12&42\\14&49\\16&56\\18&63\\20&70\end{array}[/tex]
need an answer for this equation in geometry plz
Answer:
120 degrees
Step-by-step explanation:
These are called supplementary angles. These are angles that add up to 180 degrees.
To solve this, you need to know that a triangle's interior angles should all add up to 180 degrees, no matter how weird the triangle looks.
For squares and other stuff it's 360 degrees
But as shown, all three interior angles of this triangle are the same. This means each of them is 60 degrees.
60 + 60 + 60 = 180
-----------------------------------------------------------------------------------------------------------------
To find X, we know that the angle of a straight line is 180 degrees. Since X and that one interior angle share the same line,
we subtract 60 from 180 to get the remaining angle of X.
180 - 60 = 120 degrees.
Maria has 8n-30 marbles, her brother has 5n marbles. How many more marbles does Maria have than her brother
Answer:
3n-30
Step-by-step explanation:
Answer: 3n-30
Step-by-step explanation: plato
Perpendicular to y=1/2-1, x-intercept at4
Answer:
it would be Y= -2x+4
Step-by-step explanation:
To begin, we know that the b value is 4, because that is the x-intercept that is information given, so we can atomatically put that in.
Next we need to find the m value, which can be found by knowing the rules of a perpendicular eqution. to change it you must change the 1/2 and flip the equation and change the signs
soooooo 1/2 would change into 2/1 which is 2 and we would addd the negative sign so
Y=-2x+4
Answer:
the desired equation is y = -2x + 8.
Step-by-step explanation:
Given a line with slope 1/2, we find the negative reciprocal of that to obtain the slope of a line perpendicular to the given line: m = -2.
Recall that at an x-intercept, y = 0. Here we're told that the x-intercept is (4, 0). Therefore, y = mx + b becomes 0 = -2(4) + b, or b = 8.
Then the desired equation is y = -2x + 8.
Please help me find the pattern will give brainlist
1:3
3:17
10:66
6:38
Could be any pattern as long as it’s a pattern please help ASAP
Answer: 1:3 2:6 3:9 1:3 is answer
Step-by-step explanation: