Answer:
-5|-7|
Step-by-step explanation:
[tex]-\left|-5\left(-7\right)\right|\\\\\mathbf{missing\:stepId}=\\\\Refine\:Abs\:Checked\:3Eq,\:\\\\|ax|=a|x|,\:a\ge 0,\:-\left|-7\right|\\=-5\left|-7\right|[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{-35}}[/tex]
Step-by-step explanation:
[tex]\Rightarrow -|-5* (-7)|[/tex]
Multiplying the terms in the absolute value.
[tex]\Rightarrow -|35|[/tex]
The absolute value of a number is the distance between that number and zero.
The absolute value of 35 is 35.
[tex]\Rightarrow -35[/tex]
Please help me!!! Send the answer and earn 10 points, please
Answer:
y = 3 and x = - 5
Step-by-step explanation:
(a)
[tex]\frac{5-7y}{2+4y}[/tex] = [tex]\frac{-8}{7}[/tex] ( cross- multiply )
- 8(2 + 4y) = 7(5 - 7y) ← distribute parenthesis on both sides
- 16 - 32y = 35 - 49y ( add 49y to both sides )
- 16 + 17y = 35 ( add 16 to both sides )
17y = 51 ( divide both sides by 17 )
y = 3
-----------------------------------------------
(b)
x + 7 - [tex]\frac{8x}{3}[/tex] = [tex]\frac{17}{6}[/tex] - [tex]\frac{5x}{2}[/tex]
Multiply through by 6 to clear the fractions
6x + 42 - 16x = 17 - 15x
42 - 10x = 17 - 15x ( add 15x to both sides )
42 + 5x = 17 ( subtract 42 from both sides )
5x = - 25 ( divide both sides by 5 )
x = - 5
The rate of return is the profit or loss on an investment as a percent of the initial investment cost. What is the rate of return on an investment that is now worth $20,880 and originally cost $18,000?
Answer:
Rate of return = 16%
Step-by-step explanation:
The computation of the rate of the return is shown below:
Data provided in the question
Current value of the investment = $20,880 = C
Originally cost = $18,000 = O
N = Net earnings = C - O
= $20,880 - $18,000
= $2,880
Based on the above information, the rate of return is
[tex]= \frac{N}{O} \\\\ = \frac{\$2,880}{\$18,000}[/tex]
= 16%
Hence, the rate of return is 16%
1. how to find slope on a y=mx+b
2.how to form a equation of a parallel line of an y=mx+b
3. how to start a parallel line in the origin
plz help
Answer:
1.) The slope of an equation expressed in the form of y= mx+b is m.
What is the name of the angle formed by BA and BC', given that the two rays share a common endpoint?
A ZBAC
B. ZABC
C. ZACB
D. ZCAB
Answer:
B. ∠ABC
Step-by-step explanation:
When naming an angle using three points, the points should be given in order, with the vertex of the angle in the middle. B is the only option that has the letters in the right order.
∠CBA would also be a valid name for the angle, but that's not one of the options.
The diagram below shows what the problem is describing.
Rays BA and BC will form an angle named B. <ABC.
Two rays sharing an endpoint will form an angle with a vertex at their meeting point. The vertex of the angle formed is represented with the letter or point at which both rays meet.As shown in the diagram attached below, the point that rays BA and BC meet is at point B.Therefore, the letter of the vertex will be in the middle of the three letters used in naming the angle.
Thus:The name of the angle formed by BA and BC is B. <ABC.
Learn more about naming of angles here:
https://brainly.com/question/19350659
Esteban finds 12 baseball cards on Monday and 24 more baseball cards on Tuesday. He gives some baseball cards to his sister, and now he has 13 baseball cards left. How many cards did he give to his sister?
Answer: 23
Step-by-step explanation: he had 12 and 24 which makes 36
then he had 13 which means he gave 23 because adding them together gives the original amount
Three circles are inscribed in a rectangle of width w and height h as shown. Two of the circles are congruent and are each tangent to two adjacent sides of the rectangle and to each other. The other circle is larger and is tangent to three sides of the rectangle and to the two smaller circles. What the ratio of h to w? Express your answer as a decimal to the nearest hundredth.
==========================================
Explanation:
The two smaller circles have a height of h, so one circle has a height of h/2 = 0.5h
The radius of each smaller circle is (0.5h)/2 = 0.25h
Draw an xy axis. Place the bottom left corner of the rectangle at the origin (0,0)
The center of the lower smaller circle is at location (0.25h, 0.25h). Call this point A.
Let B be the center of the larger circle. It has coordinates (x,y). We don't know x, but we know that y = 0.5h since the center must be at the halfway point in terms of the height of this rectangle. So the larger circle has a radius of 0.5h
Draw a line segment connecting A and B. The length of this segment, call it d, is d = 0.5h + 0.25h = 0.75h. Note how I added the two radius values mentioned earlier.
-------------
Summarizing everything so far, we have
A = (0.25h, 0.25h)
B = (x, 0.5h)
d = 0.75h
The distance formula is then used
d = distance from A to B
d = length of segment AB
d = sqrt( (x1-x2)^2 + (y1-y2)^2 )
0.75h = sqrt( (0.25h - x)^2 + (0.25h - 0.5h)^2 )
(0.75h)^2 = (0.25h - x)^2 + (-0.25h)^2
0.5625h^2 = 0.0625h^2 - 0.5hx + x^2 + 0.0625h^2
x^2 - 0.5hx + 0.4375h^2 = 0
From here you use the quadratic formula to get x = 0.9571067811865h approximately (the other solution is ignored as it's negative). See the attached image below if you're curious what the quadratic formula steps would look like.
This x value is the x coordinate of point B, which is the center of the larger circle. This spans the horizontal distance from the left edge of the rectangle to the center of the larger circle. The remaining horizontal distance is h/2 as it is the radius of the larger circle.
Therefore,
w = 0.9571067811865h + 0.5h
w = 1.4571067811865h
-------------
We have turned w into a roughly equivalent expression that has an h in it, allowing us to find the ratio of h to w
h/w = h/(1.4571067811865h) = 1/1.4571067811865 = 0.68629150101527
When rounding to two decimal places, we get roughly 0.69
184 sixth graders are going on a field trip. There needs to be one chaperone for every four students. If a bus can hold 50 people, how many busses will they need for the trip? Hint: You can't use part of a bus! *
Answer:
5 buses
Step-by-step explanation:
Total number of 6th graders going for the field trip = 184
Step 1
Divide the total number of students by 4
184/4 = 46
We have 46 groups of six graders.
Step 2
There needs to be one chaperone for every four students.
We have 46 groups of six graders
This means there is need for 1 chaperone per group
Hence, we have 46 chaperones
Step 3
Find total number of people going for the field trip
184 students + 46 chaperones
= 230 people
Step 4
If a bus can hold 50 people, how many buses will they need for the trip?
50 people = 1 bus
230 people = ??y
50 × y = 230
y = 230/50
y = 4.6 buses
Hence, 4.6 buses would be needed but since we can't have 0.6(part) of a bus figuratively, as buses come in whole numbers, we approximate to the nearest whole number
= 4.6 ≈ 5
Therefore, they would be needing 5 buses for the trip.
5 buses
Step-by-step explanation:
i got 10 out of 10
Hi pls answer the following 4 questions
Will mark as brainliest for the best answer
1) multicropping
2)soilconservation
3)High carbon farming
4) clay particle
Hope it helps
Convert 27/100 to a percent.
Answer:
27%
Step-by-step explanation:
27/100
Percent means out of 100
27%
Answer:
27 percent
Step-by-step explanation:
:)
How do you tell when the slope is negative?
If the line goes downhill as you read from left to right, then the slope is negative.
The slope is positive when you go uphill, reading from left to right.
A slope of 0 means the line is completely horizontal or level
If the line is completely vertical, then the slope is undefined.
Three sides of a triangle are 2 + 2 + 2, 4 + 52 − 32 + 2. Find
its perimeter
Answer:
2+2+2=6
4+52-32+2=26
finally add 26+6=32
solve (x-5)^2=3 question has to be 23 characters so I'm typing this lol
hi my litler friend
[tex](x-5)^2=3\\(x-5)=+-\sqrt{3} \\\\x-5=\sqrt{3} \\x=5+\sqrt{3} \\\\x-5=-\sqrt{3} \\x=5-\sqrt{3} \\\\\\S=(5-\sqrt{3},5+\sqrt{3})\\[/tex]
if in doubt, let me know. I really like to help.
Exact solutions: [tex]x = 5+\sqrt{3} \ \text{ or } \ x = 5-\sqrt{3}[/tex]
Approximate solutions: [tex]x \approx 6.732051 \ \text{ or } \ x \approx 3.267949[/tex]
==================================================
Work Shown:
Apply the square root to both sides, then add 5 to both sides
Don't forget about the plus/minus so you can get two solutions.
[tex](x-5)^2 = 3\\\\\sqrt{(x-5)^2} = \sqrt{3}\\\\|x-5| = \sqrt{3}\\\\x-5 = \pm\sqrt{3}\\\\x-5+5 = \pm\sqrt{3}+5\\\\x = 5\pm\sqrt{3}\\\\x = 5+\sqrt{3} \ \text{ or } \ x = 5-\sqrt{3}\\\\x \approx 6.732051 \ \text{ or } \ x \approx 3.267949\\\\[/tex]
Use a calculator for the last step.
A y = 1/2x + 5 B y = 1/2x + 7 c y = 2x + 5 D y = y = 2x + 7
Answer:
[tex]\huge \boxed{{y=2x+5}}[/tex]
Step-by-step explanation:
y = mx + b (slope-intercept form of a line)
m is slope
b is y-intercept
The y-intercept of the line is (0, 5) or 5.
y = mx + 5
The slope of the line can be found through rise over run.
(1, 7) and (2, 9) are two points on the line.
m = (y2-y1)/(x2-x1)
m = (9 - 7)/(2 - 1)
m = 2/1 = 2
The slope of the line is 2.
y = 2x + 5
Answer: Hi! The equation for this line would be c), y = 2x + 5.
Step-by-step explanation:
Slope - intercept form: y = mx + b, where m is the slope and b is the y - intercept.
First, we should determine the y - intercept. We can observe using the graph that the line intercepts the y - axis at point (0, 5), so we take the y - coordinate (5) and insert it into our equation.
y = mx + 5
This automatically rules out options d) and b).
Next, we find the slope. The formula for finding the slope is (y2 - y1) ÷ (x2 - x1).
We need to choose two coordinates before we can calculate the slope.
Let's use (1, 7) and (0,5).
We will not insert the values into or slope formula:
(7 - 5) ÷ (1 - 0)
When we solve this, the quotient is 2.
This is our slope, and we can insert the value into our slope equation - -
y = 2x + 5
This rules out option a). So, your answer is option c), y = 2x + 5.
Hope this helps!
Which of the following could be the graph of 3x + 4y = 12?
Answer:
A graph that goes through (4, 0), (8, -3), (0, 3), and (-4, 6)
Step-by-step explanation:
Hello!
To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b
To get our equation to look like that we have to get y by itself
3x + 4y = 12
Subtract 3x from both sides
4y = -3x + 12
Divide both sides by 4
[tex]y =- \frac{3}{4}x + 3[/tex]
We now know the y-intercept is (0, 3)
Now we follow the slope to give us more points
More points are (4, 0), (8, -3), and (-4, 6)
The answer would be a graph that goes through those points.
Hope this helps!
In how many ways can you select two people from a group of 15 if the order of selection is not important?
Answer:
105 ways
Step-by-step explanation:
Because the order of selection does not matter, we know that we will be using a combination instead of a permutation.
₁₅C₂ = 15! / (2! * 13!)
= 15 * 14 * ... * 2 * 1 / 2 * 1 * 13 * 12 * ... * 2 * 1
= 15 * 14 / 2 * 1 (The 13! cancels out)
= 105
Answer:
105 ways, because the order of selection does not matter, we know that we will be using a combination instead of a permutation.
A math test has 12 multiplication problems and 24 division problems. What is the ratio value of division problems to multiplication problems? Type your answer as a fraction in simplest form.
Answer:
24:12 = 24/12
24/12 = 2/1 or 2
Step-by-step explanation:
Suppose the roots of the polynomial $x^2 - mx + n$ are positive prime integers (not necessarily distinct). Given that $m < 20,$ how many possible values of $n$ are there?
Answer:
18 values for n are possible.
Step-by-step explanation:
Given the quadratic polynomial:
[tex]$x^2 - mx + n$[/tex]
such that:
Roots are positive prime integers and
[tex]$m < 20$[/tex]
To find:
How many possible values of [tex]n[/tex] are there ?
Solution:
First of all, let us have a look at the sum and product of a quadratic equation.
If the quadratic equation is:
[tex]Ax^{2} +Bx+C[/tex]
and the roots are: [tex]\alpha[/tex] and [tex]\beta[/tex]
Then sum of roots, [tex]\alpha+\beta = -\frac{B}{A}[/tex]
Product of roots, [tex]\alpha \beta = \frac{C}{A}[/tex]
Comparing the given equation with standard equation, we get:
A = 1, B = -m and C = n
Sum of roots, [tex]\alpha+\beta = -\frac{-m}{1} = m[/tex]
Product of roots, [tex]\alpha \beta = \frac{n}{1} = n[/tex]
We are given that [tex]m<20[/tex]
[tex]\alpha[/tex] and [tex]\beta[/tex] are positive prime integers such that their sum is less than 20.
Let us have a look at some of the positive prime integers:
2, 3, 5, 7, 11, 13, 17, 23, 29, .....
Now, we have to choose two such prime integers from above list such that their sum is less than 20 and the roots can be repetitive as well.
So, possible combinations and possible value of [tex]n (= \alpha \times \beta)[/tex] are:
[tex]1.\ 2, 2\Rightarrow n = 2\times 2 = 4\\2.\ 2, 3 \Rightarrow n = 6\\3.\ 2, 5 \Rightarrow n = 10\\4.\ 2, 7\Rightarrow n = 14\\5.\ 2, 11 \Rightarrow n = 22\\6.\ 2, 13 \Rightarrow n = 26\\7.\ 2, 17 \Rightarrow n = 34\\8.\ 3, 3\Rightarrow n = 3\times 3 = 9\\9.\ 3, 5 \Rightarrow n = 15\\10.\ 3, 7 \Rightarrow n = 21\\[/tex]
[tex]11.\ 3, 11\Rightarrow n = 33\\12.\ 3, 13 \Rightarrow n = 39\\13.\ 5, 5 \Rightarrow n = 25\\14.\ 5, 7 \Rightarrow n = 35\\15.\ 5, 11 \Rightarrow n = 55\\16.\ 5, 13 \Rightarrow n = 65\\17.\ 7, 7 \Rightarrow n = 49\\18.\ 7, 11 \Rightarrow n = 77[/tex]
So,as shown above 18 values for n are possible.
5 Seth bought a used car that had been driven 20,000
miles. After he owned the car for 2 years, the total
mileage of the car was 49,400. Find the average
number of miles he drove each month during those
2 years.
49,400-20,000=29400
29400/24=1225 average miles per month
If DF = 9x - 39, find EF
Answer:
EF = 58 units
Step-by-step explanation:
Given:
DF = 9x - 39
DE = 47
EF = 3x + 10
Find:
EF
Computation:
DF = DE + EF
9x - 39 = 47 + 3x + 10
9x - 3x = 47 + 39 + 10
6x = 96
x = 16
EF = 3x + 10
EF = 3(16) + 10
EF = 58 units
What is the value of x in the equation below?
R
-3-(-8)-(-2)= X
0-13
-9
03
O 7
Answer:
X= 7
Step-by-step explanation:
X - 25 is a factor of 4x^2 -100?
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Answer : [tex]\boxed{(2x + 5 ) (2x - 5)}[/tex]
[tex]4x^2-25[/tex]
Rewrite [tex]4x^2[/tex] as [tex](2^x)^2[/tex].
[tex](2x)^2 - 5^2[/tex]
Rewrite [tex](2x)^2[/tex] as [tex]5^2[/tex].
[tex](2x)^2 - 5^2[/tex]
Since both terms are perfect squares, factor using the difference of squares formula, [tex]a^2 - b^2 = ( a + b ) ( a - b )[/tex] where [tex]a = 2x[/tex] and [tex]b = 5[/tex].
[tex](2x + 5 ) (2x - 5)[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Which of the following equations is equivalent to x/3-6/x=1? x 2 - 3x - 18 = 0 x 2 - 2 = 3x x 2 - 6 = x
Answer:
x² - 3x - 18 = 0
Step-by-step explanation:
x/3 - 6/x = 1
x²/3 - 6 = x
x² - 18 = 3x
x² - 3x - 18 = 0
What is the answer to (-18) - 14 =
Answer:
-32
Step-by-step explanation:
Negative plus negative = Negative
Just add those 2 together,
(-)18 + (-) 14
Which is -32
(-) 32 = -32
Shannon poured 1 1/2 a punch into each of 5 glasses. how much total punch in cups did Shannon pour?
A. 10
B. 3 1/2
C. 7 1/2
D. 2 1/2
Answer:
7 1/5
Step-by-step explanation:
You said that she poured 1 1/5 pouches in each cup. There are 5 cups, so multiply 1 1/5 by 5.
(e.g)
1 1/5+1 1/5= 3 because 1+1=2 & 1/2+1/2=1 so you add them and get 3
Do that twice and you get 6
then you have 1 one more cup left so add 1+6=7 then add the half 7+1 1/2=7 1/2
Your Welcome
I NEED HELP ASAP! BRAINLIEST IS BEING GIVEN OUT! What are the solutions of |3x + 2| > 9? A. x > –113 or x > 73 B. x 73 C. x > –113 or x < 73 D. x < –113 or x < 73
Answer:
x > 7/3 or x < -11/3
Step-by-step explanation:
|3x + 2| > 9
There are two solutions, one positive and one negative, remembering to flip the inequality when taking the negative solutions
3x+2 > 9 or 3x+2 < -9
Subtract 2
3x+2-2 >9-2 or 3x+2-2 < -9-2
3x >7 3x>-11
Divide by 3
3x/3 > 7/3 3x/3 < -11/3
x > 7/3 or x < -11/3
- X= 7
The equation has one solution
A value of x that makes the equation true is______
which when simplified makes
the equation turn into___=___
A value of x that makes the equation false is___
which when simplified makes
the equation turn into___=___
Answer:
To make a true equation, check your math to make sure that the values on each side of the equals sign are the same. Ensure that the numerical values on both sides of the "=" sign are the same to make a true equation. For example, 9 = 9 is a true equation. 5 + 4 = 9 is a true equation.You will be able to determine if an equation has one solution (which is when one variable equals one number), or if it has no solution (the two sides of the equation are not equal to each other) or infinite solutions (the two sides of the equation are identical).
GEOMETRY
SOMEBODY PLEASE HELP ME ON THIS I NEED IT BY TODAY
What is the correct postulate/theorem/definition
given: angle MRS = angle MRO
VO=VO
This is the idea that any segment is the same length as itself (in this case, segment VO is the same length as segment VO). Think of a mirror reflecting an identical image of something in front of the mirror.
It might seem redundant to say VO = VO, but it's useful when you want to break up a figure into smaller more manageable pieces to do the proof.
The measure of angle MRS exists equivalent to the measure of the angle MRO or m∠MRS = m∠MRO.
What is quadrilateral?It exists described as the four-sided polygon in geometry containing four edges and four corners.
∠MRS ≅ ∠MRO (given)
From the given figure, we get
∠MRS + ∠MRO = ∠SRO
∠MRS + ∠MRO = 180 (as SRO exists a straight line segment)
Given: ∠MRS exists congruent to ∠MRO
2∠MRS = 180 degree
∠MRS = 90 degree
∠MRO = 180 - 90 = 90 degree
m∠MRS = m∠MRO
Therefore, the measure of angle MRS exists equivalent to the measure of the angle MRO or m∠MRS = m∠MRO.
To learn more about quadrilateral
https://brainly.com/question/27891143
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What is the point of comparing prices?
Answer:
To know which is better to pay.
Step-by-step explanation:
Good Luck
Answer this question
Answer:
c. 40°
Step-by-step explanation:
The information given has been illustrated in the figure drawn in the attachment below.
m<BAD = 50° (angle bisector theorem)
m<ADB = 90° (perpendicular bisector)
m<ABD = 180 - (m<BAD + m<ADB) (sum of angles in a triangle)
m<ABD = 180° - (90° + 50°)
= 180° - 140°
= 40°
B = 40°
-12x - 60 = 144. Find the value of x.