Answers
Answer:
At a bus stop, 8 people got off the bus and 10 people go on. This means that the number of passengers increased by 2.
Step-by-step explanation:
The first one would e -8-10=-18
Second one would just be wrong. Each goldfish would be 5/4 of a dollar, so it cannot be possibly represented by the equation.
It would just be 8x=10
The last one is correct because it accurately depicts 8 people getting off(-8) and 10 people getting on(+10) which means that the passengers increased by two. This corresponds to the given equation.
Related Questions
Rachel and her cousin, Lena, live in different cities that are about 100 miles apart. On a map, the two cities measure
5 inches apart. What is the scale factor used for the map?
Answers
Answer:
Step-by-step explanation:
On her map 1 inch is equal to 20 miles.
5x=100
divide both sides by 5
x=20
Please help me.
In a group of 45 students at a school, all students must study at least one science. Physics is compulsory, but students may also opt to study chemistry or biology or both. 9 students take all three sciences. 24 take both physics and biology (with or without chemistry). 12 students take only physics. How many are studying chemistry and physics but not biology?
Answers
Answer:
9 students
Step-by-step explanation:
Let x be the number of students taking only Physics and Chemistry
Number of students :
All 3 sciences = 9
Only physics = 12
Both Physics and Biology( without Chem ) = 24 -9 = 15
15+ 9 + 12+x = 45 , since Physics is compulsory
36 + x = 45
x = 45 - 36
x = 9
Hope it helps :)
Answer:
9
Step-by-step explanation:
6. Describe and correct the error in solving the equation.
X Х
0.4x = 0.2(x.-8)
0.4x = 0.2 x - 8
0.2x = -8
x = -4.
Answers
0.4x = 0.2(x - 8)
0.4x = 0.2x - 1.6
-0.2x -0.2x
0.2x = -1.6
x = -8
please help!!!!! thank you!!! any help would be appreciated!!
Answers
Answer:
I would say c. you welcome for my so called help
Find the length of a line segment with endpoints of –9 and 7.
A.
–16
B.
–2
C.
16
D.
26
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
c 16
Step-by-step explanation:
If anyone can help me please with the this problem (picture above)
Answers
Answer:
6x-3=9
Step-by-step explanation:
i dont really get what it means by set up an equation but heres what i know-
36 is the perimeter so divide it by 4 to get the length of each side-
36/4=9
now you know that each side is 9, so 6x-3=9
when you solve that, x=2
4(6x-3)= 36
24x-12=36
+12=+12
24x=48
24x/24=48/24
x=2
Check:
6x-3=36
4(6(2)-3)=36
4(12-3)=36
48-12=36
36=36
To determine the number of deer in a forest, a forest ranger tags 280 and releases them back into the forest. Later, 405 deer are caught, out of which 45 of them are tagged. About how many deer are in the forest?
Answers
Answer:
640
Step-by-step explanation:
405-45= 360
360+280=640
Answer:
2520 deerStep-by-step explanation:
Given
Tagged deer = 280Caught deer = 405Tagged among caught = 45The ratio of the tagged deer vs total
45 ⇔ 405280 ⇔ xSolving by cross-multiplication
45x = 405*280x = 405*280/45x = 2520So there are about 2520 deer in the forest
The weight of a person in pounds.
1293
Answers
Answer:
if 1293 is ounces, 80.8125 would be lbs !!
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
Select the correct answers.
A pair of parallel lines is cut by another pair of parallel lines as shown in the figure. Which angles are congruent to angle K?
R
D
N
А
P
E
M
H
F
G
K
O A angles P, Q, and R
OB. angles M, E, and
OC angles G, A, and B
OD. angles D, E, and
E angles M, N, and P
Answers
Answer:it is c
Step-by-step explanation:
Answer:b
Step-by-step explanation:
??????????????????????????????
Answers
Answer:
For 6 chairs, 72 screws and for 9 chairs, 108 screws.
Step-by-step explanation:
So, for every 2 chairs, he needs 24 screws.
By Unitary Method,
We get screws needed for one chair, that is, 24/2 = 12 screws for one chair.
So, for 6 chairs,
6 × 12 = 72 screws.Similarly, for 9 chairs,
9 × 12 = 108 screws.Answer:
The ratios to this would be:
[tex]\left[\begin{array}{ccc}2&24\\6&72\\9&108\end{array}\right][/tex]
Step-by-step explanation:
Ratios are similar to fractions, in some ways, ratios are to show the relation between two numbers, such like a proportion:
For example:
4:3
or the ratio of men' jobs to women's' is 8 to 1 (8:1)
In this case, it is said that:
Gary needs 24 screws for every 2 chairs.
The ratio of this is 24: 2
Also meaning:
[tex]\frac{24}{2}[/tex]
and [tex]2\sqrt{24}[/tex], the quotient is = 13
Now we multiply 12 to '6' and '9'
You will get:
12(6) = 72
12(9) = 108
This will be your answer.
Point H is on the line segment GI. Given HI=6x, GH=x^2+5x and GI 7x+21. Find the values of x and determine the length of HI.
Answers
Answer:
x=3
HI=18
Step-by-step explanation:
Equations
Suppose a segment with endpoints G, I. Somewhere in between lies point H, in such a way that:
GI = GH + HI
Every segment is given as an expression with variable x:
[tex]HI=6x[/tex]
[tex]GH=x^2+5x[/tex]
[tex]GI=7x+21[/tex]
Substituting:
[tex]7x+21=x^2+5x+6x[/tex]
Moving everything to the right side:
[tex]0=x^2+5x+6x-7x-21[/tex]
Swapping sides and simplifying:
[tex]x^2+4x-21=0[/tex]
Factoring:
[tex](x+7)(x-3)=0[/tex]
Solving, we have two possible solutions:
x=-7, x=3
The negative solution is discarded because it would result in negative lengths. Thus the solution is
x=3
Determine the length of HI:
HI=6x=6*3=18
HI=18
Substitute the length of the sides (7 in, 25in n)
into the Pythagorean theorem. Then, find the length of the missing side m
(Please with step by step answer)
Answers
Answer:
with 2 sides, we can assume that the 25 inch side is the hypotenuse.
7^2 + 25^2 = 49 + 625 = 674
674 is NOT a perfect square so we'll make the 25 side as the hypotenuse.
7^2 +n^2 = 625
n^2 = 625 - 49
n^2 = 576
square root (576) = 24
So the 3 sides are
7 24 and 25
Step-by-step explanation:
The red dot is located between 12 and 13. The red dot is about half way between 12 and 13, but a little below the half way point, so the red dot represents a little below half way between the two square roots. Since the square root of 144 is equal to 12 and the square root of 169 is equal to 13, then the red dot is located between the two square roots. By extension, to the nearest integer, the approximate value of the dot will be a little below half way between and , which is about the square root of .
Answers
Answer:
The answer is "156".
Step-by-step explanation:
According to the question, the 144 square root equals 12. The 169 square root equals 13, and by extending the estimated price of blackness, only at the nearest entry, has been a little or less halfway between both the 144 square root and the 169 square root estimated, at 156 square root, that's why 156 is the correct answer.
WILL GIBE BRAINLIEST
Use FOIL to determine the following Expression
Answers
Answer:
0=0, Infinite solutions
Step-by-step explanation:
For an answer to have an infinite solution, the two equations when you solve will equal 0=0. Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.
If this was helpful please give brainliest, have a great day!
x=2
x=10
Woulld really appriciate brainliest here is the steps below
1.1 Factoring x2-12x+20
The first term is, x2 its coefficient is 1 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +20
Step-1 : Multiply the coefficient of the first term by the constant 1 • 20 = 20
Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is -12 .
-20 + -1 = -21
-10 + -2 = -12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and -2
x2 - 10x - 2x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
2 • (x-10)
Step-5 : Add up the four terms of step 4 :
(x-2) • (x-10)
Which is the desired factorization
Equation at the end of step
1
:
(x - 2) • (x - 10) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x-2 = 0
Add 2 to both sides of the equation :
x = 2
Solving a Single Variable Equation:
2.3 Solve : x-10 = 0
Add 10 to both sides of the equation :
x = 10
Supplement : Solving Quadratic Equation Directly
Solving x2-12x+20 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = x2-12x+20
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 6.0000
Plugging into the parabola formula 6.0000 for x we can calculate the y -coordinate :
y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 + 20.0
or y = -16.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-12x+20
Axis of Symmetry (dashed) {x}={ 6.00}
Vertex at {x,y} = { 6.00,-16.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 2.00, 0.00}
Root 2 at {x,y} = {10.00, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving x2-12x+20 = 0 by Completing The Square .
Subtract 20 from both side of the equation :
x2-12x = -20
Now the clever bit: Take the coefficient of x , which is 12 , divide by two, giving 6 , and finally square it giving 36
Add 36 to both sides of the equation :
On the right hand side we have :
-20 + 36 or, (-20/1)+(36/1)
The common denominator of the two fractions is 1 Adding (-20/1)+(36/1) gives 16/1
So adding to both sides we finally get :
x2-12x+36 = 16
Adding 36 has completed the left hand side into a perfect square :
x2-12x+36 =
(x-6) • (x-6) =
(x-6)2
Things which are equal to the same thing are also equal to one another. Since
x2-12x+36 = 16 and
x2-12x+36 = (x-6)2
then, according to the law of transitivity,
(x-6)2 = 16
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-6)2 is
(x-6)2/2 =
(x-6)1 =
x-6
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-6 = √ 16
Add 6 to both sides to obtain:
x = 6 + √ 16
Accordingly, B2 - 4AC =
144 - 80 =
64
Applying the quadratic formula :
12 ± √ 64
x = —————
2
Can √ 64 be simplified ?
Yes! The prime factorization of 64 is
2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 64 = √ 2•2•2•2•2•2 =2•2•2•√ 1 =
± 8 • √ 1 =
± 8
So now we are looking at:
x = ( 12 ± 8) / 2
Two real solutions:
x =(12+√64)/2=6+4= 10.000
or:
x =(12-√64)/2=6-4= 2.000
x=10
x=2
Hope this helps Would also appriciate brainliest
Can someone please help me with this question:)
Answers
Answer:
x = 12 and y = 24 Can I get brainiiest
Step-by-step explanation:
We know (3x + 34) and (2x + 46) are vertical to each other so they equal the same measure. We will solve it like this.
3x + 34 = 2x + 46 (subtract 34 on each side)
3x = 2x + 12 (subtract 2x on both sides)
x = 12
Now plug in
3(12) + 34 = 2(12) + 46
36 + 34 = 24 + 46
70 = 70
Now all you have to do is do the other pair of angle
4y + 14 + 70 = 180 (we are using what we already know about 70)
(collect like terms)
4y + 84 = 180 (subtract 84 on both sides)
4y = 76 (divide by 4)
y = 24
(plug in)
4(24) + 14 = 6(24) - 34
96 + 14 = 144 - 34
110 = 110
What is the value of x in the equation x^ 3 = 8 /216
Answers
Answer:
x=1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
8/126 = 1/27. 1/27 is a cube because 1/3 can be multiplied by itself three times to get it.
CAN SOMEONE HELP ME WITH THIS!!! IT IS TIMED
Answers
Answer: 2
Step-by-step explanation: Because 2 makes the denominator 0, which makes the entire thing undefined
First to answer gets something good ;)
Answers
Answer:
should be the second one 75 + 20x <55 +44x
A number line graph is shown:
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Based on the graph, which inequality is correct for a number that is to the right of -4?
0-2 <-4
O-3>-4
0 1 <-4
-5 >-4
Answers
Answer:
1<-4
Step-by-step explanation:
Answer:
-3 > -4 i believe i hope this helps!!
Step-by-step explanation:
PLEASE HELP! I left to go eat and when I came back I forgot what I was doing.
The image shown is of two sets of parallel lines.
The m∠ 13 = 29x - 2 and the m∠ 9 = 27x + 6
What is the m∠ 12?
Answers
Answer:
x=4
m<12 = 66
Step-by-step explanation:
Answer:
x = 4
m∠12 = 66
m∠13 and m∠12 are linear pairs (supplementry angles)
Step-by-step explanation:
m∠9 ≈ m∠15 (Vertical angle)
m∠15 ≈ m∠13 (Corresponding angle)
m∠9 ≈ m∠13
29x - 2 = 27x + 6
2x - 2 = 6
2x = 8
x = 4
m∠13 = 29(4) - 2
m∠13 = 114
m∠13 + m∠12 = 180
180 - m∠13 = m∠12
180 - 114 = 66
m∠12 = 66
Question 10 (5 points)
(02.05 LC)
What number is 80% of 90? (5 points)
Plz help
Answers
80%=.8
.8 x 90
72
ASAP! I'LL GIVE YOU 10 POINTS! Can someone help me with my math? Please, I am begging you! It was due yesterday and I'm confused.
1. A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:
2. Write the following equation forms given that f(−3)=4 and f(−1)=−4 are true of the line: Slope-Intercept Form:
Standard Form:
Answers
So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2.
Where m=slope
Y1 is any y value from a point on the graph
X1 any x value from the same point on the graph
The first thing to do is find the slope
M= (9-7)/(1-0)=2/1=2
Next is to sun in values
the point given is (1,9)
So we put 9 in place of y1 and 1 in place of x1
So the line in point slope form is
Y-9=2(x-1)
Y intercept formula: y=mx+b
The only new letter is b which is the y intercept value (0,b)
The y intercept is the point where x is 0 which the problem says is (0,7)
So, keeping the same slope
The answer is
Y=2x+7
Standard form: Ax+By=C
Where A,B, and C are integers (can’t be fractions)
If you reorder the slope intercept form
You get
-2x+y=7
You have to flip the signs because a needs to be positive
So the answer is
2x-y=-7
2)
When you see something like f(-3)=4
That is saying when x is equal to -3, the whole equation is equal to 4
So f(x)=n
So when x is -3, y is 4 and when x is -1, y is -4
M=(4+4)/(-3+1)=8/-2=-4
Sub in points to find b
4=-4(-3)+b
4=12+b
b=-8
So,
Y=-4x-8
Std form
Move -4x to the left with addition to get
4x+y=-8
Hope that helped!
AngleFBC and AngleCBG are supplements, AngleDBG and AngleDBF are supplements, and AngleCBG Is-congruent-to AngleDBF. 4 lines are shown. A horizontal line with points F, B, G intersects a vertical line with points A, B, E at point B and forms a right angle. Another diagonal line with points D, B, C intersects the other 2 lines at point B between angle F B E and angle A B G. A fourth line intersects 3 lines at points A, C, G. By the congruent supplements theorem, what can you conclude? AngleCBG Is-congruent-to AngleDBG AngleFBC Is-congruent-to AngleDBG AngleCBG is supplementary to AngleDBF. AngleFBC is supplementary to AngleDBG.
Answers
Answer:
b
Step-by-step explanation:
The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f (l) = 2 pi StartRoot StartFraction l Over 32 EndFraction EndRoot, where l is the length of the pendulum in feet What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?
Answers
Answer:
46.08 feet.
Step-by-step explanation:
Given that, for length, [tex]l[/tex] feet, the time period, [tex]f(l)[/tex], of the pendulum is
[tex]f(l)=2\pi\sqrt{\frac{l}{32}}[/tex].
As the time period equals the time taken by the pendulum in one back and forth motion, so, actually, the given [tex]2.4\pi[/tex] seconds to swing back and forth is the time period.
Let [tex]l_0[/tex] feet be the length of the pendulum for the time period [tex]2.4\pi[/tex] seconds, so
[tex]f(l_0)=2.4\pi[/tex]
[tex]\Rightarrow 2\pi\sqrt{\frac{l_0}{32}}=2.4\pi[/tex]
[tex]\Rightarrow \sqrt{\frac{l_)}{32}}=1.2[/tex]
[tex]\Rightarrow \frac{l_0}{32}=(1.2)^2[/tex] [squaring on both the sides]
[tex]\Rightarrow l_0=1.44\times32[/tex]
[tex]\Rightarrow l_0=46.08[/tex]
Hence, the approximate length of a pendulum that takes [tex]2.4 \pi[/tex] seconds to swing back and forth is 46.08 feet.
Answer:
the answer is d on edge 2020
Step-by-step explanation:
What is the area of this tile?
3 in.
3 in.
Answers
Answer:
9 in. i think
Step-by-step explanation:
i need help on this one too
Answers
Answer:
x equals 3
Step-by-step explanation:
hope this helps
How would you simplify 3, 999, 999^0
Answers
Answer:
4,000,000^0 your welcone
Rewrite as a simplified fraction.
2.37 = ?
Answers
[tex]\frac{237}{100}[/tex]
Step-by-step explanation:Hi there !
2.37 = 237/100
Good luck !
5/6 divided by 3 in simplest form. please help. quick.
Answers
The Answer is:
5/18
Step-by-step explanation:
5/6 ÷ 3 = 5/18
28+7+2=x+1
Solve equation
Answers
Answer:
x= 36
Step-by-step explanation:
28+7+2= 37
37= x+1
37-1= 36
x= 36
Answer:
x = 36
Step-by-step explanation:
28 + 7 + 2 = x + 1
x + 1 = 28 + 7 + 2
x + 1 = 37
x = 37 - 1
x = 36
I hope this helped!
