Answer:
y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]
Step-by-step explanation:
First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.
When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].
Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).
-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b
-1 = [tex]\frac{20}{3}[/tex] + b
b = -[tex]\frac{23}{3}[/tex]
After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].
If a die is thrown, the probability of getting even number is
a)1/2 b)1/6 c)1/3 d) 2/3
Answer:
A 1/2
Step-by-step explanation:
Its a half chance since theres 6 sides so 1/2:)
Answer:
[tex]b) \frac{1}{2} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
equation where slope = 7/2 and y-intercept is -15
Answer:
y = 7/2x - 15
Step-by-step explanation:
y = mx + b
if slope is 7/2, m= 7/2
y = 7/2x + b
if y-intercept is -15, y = -15, x = 0
-15 = 7/2(0) + b
b = -15
then
y = 7/2x - 15
Question 3 of 10
Which symbol would best replace the question marks below?
17? 33 ? 59 ? 63 ? 87? 92
A. =
B. <
C. >
SUBMIT
Answer:
B. <
Step-by-step explanation:
Each number in the sequence is greater than the previous number so the correct answer is b. <
How does a value that is greater
than 100% of the original value or less than
1% of the original value compare to the original
value?
[tex] \: \: \: \: \: \: [/tex]
If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -
If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.
hope it helps
Determine if the point (-2,2) a solution to the inequality y<3x+2.
Yes, it's a solution
or
No, it's not a solution
Answer:
No, it's not a solution
Step-by-step explanation:
Solve by plugging in the values x=-2 and y=2 that are from your point (-2,2):
y<3x+2
2<3(-2)+2
2<-4 This inequality is false, so no, it's not a solution
Answer:
not a solution
Step-by-step explanation:
y<3x+2
2<3(-2)+2..........plug in values
2<-6+2................multiply
2<-4......................add
2<-4 is false
A plumber charges $8.00 per hour for her work, plus a $27 materials fee. If you pay her $107.00, for how many hours did the plumber work?
Answer:
10 hours
Step-by-step explanation:
Amount paid= material fee + ($8)(number of hours worked)
Let the number of hours the plumber worked be t.
$107= $27 +$8t
107 -27= 8t
80= 8t
8t= 80
Divide both sides by 8:
t= 80 ÷8
t= 10
Thus, the plumber worked for 10 hours.
Find the surface area of the following prism.
Answer: 350 square inches
The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)
4(9+7) + 11 (5+7+9 +5)
--> 350
5. Name a pair of supplementary angles.
6.Name a pair of vertical angles
7.Name a pair of adjacent angles
(Please answer if u can!)
Answer:
5. Angles FGE and CGE are supplementary
6. Angles FGE and BGC are vertical
7. Angles FGE and GED are adjacent
Step-by-step explanation:
Problem 5
Answer: Angle EGF and angle FGBExplanation:
The straight line EGB can be decomposed into the angle pieces of angle EGF and angle FGB. Another way we can break this straight angle down is to break it into angle EGA and angle AGB. Whichever route you go for, the smaller angles add back to 180 degrees. There are other possible answers you could go for. Check out the diagram below for a visual of these angles (shown in red)
========================================================
Problem 6
Answer: Angle AGB and angle EGD
Explanation:
Focus on lines AD and EB. They intersect at point G. The two lines form the opposite angles AGD and EGD which are considered vertical angles. Whenever we have an X shape like this, we'll have vertical angles in the opposite positions like this. Vertical angles are always congruent. There are other pairs of vertical angles shown in this diagram. Check out the diagram below for a visual of these angles (shown in blue)
========================================================
Problem 7
Answer: Angle BGC and Angle CGDExplanation:
The angles BGC and CGD are right next to each other, so we consider them adjacent. They share the common ray GC. Think of it like two neighbors sharing a common wall in an apartment building. There are other possible answers you could go with as long as the two angles share a common ray or line, and also share a common vertex as well. Check out the diagram below for a visual of these angles (shown in green)
One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each
spinner is spun once.
What is the sample space of outcomes?
Answer:
3rd option
Step-by-step explanation:
The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.
What is sample space?Sample space is the set of all the possible values or the outcomes of an event.
Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,
[tex]S=\{HH,HT,TH,TT\}[/tex]
Here, H denotes the head and T denotes the tail part of the coin.
In the given problem,
One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.
The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.
Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.
Learn more about the sample space here;
https://brainly.com/question/11666439
#SPJ2
what the avage of 87.25
Answer:
B+
3.3 GPA
Step-by-step explanation:
A brainly Would be greatly appreciate!!!
Answer:
87.25
Step-by-step explanation:
What is the constant of this polynomial? 3x9 + 4x + 129
Answer:
129
Step-by-step explanation:
When referring to the constant in a polynomial, we're generally referring to the term that has no variables in it. Here, that term is 129.
The constant is 129.
HELP PLZ!!!!
1) Which rigid motion will verify that rectangle ABCD is congruent to rectangle A'B'C’D’ ?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A 270° clockwise rotation about the origin.
D) A 90° counterclockwise rotation about the origin.
2) Which rigid motion will verify that rectangle A'B'C'D' is congruent to rectangle A"B"C"D"?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A translation 8 units to the right.
D) A 90° counterclockwise rotation about the origin.
Answer:
reflection over x-axis
hope that helps!!!
The price of an item has been reduced by 45%. The original price was $43. What is the price of the item now?
Thank you!
Answer:
23.65
Step-by-step explanation:
Can someone help me please
Answer:
D
Step-by-step explanation:
Don’t understand this math question
Answer: the answer is 5^6
Step-by-step explanation:
When you are multiplying exponents with the same base you add the exponents so 3+3=6
what's the answer to this math problem?
3c+2= −10
Answer:
c=-4
Step-by-step explanation:
3c+2=-10
3c=-12
c=-4
please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.
Answer:
x=10, y=-1
Step-by-step explanation:
x-y=11
2x+y=19
3x=30
x=10
10-y=11
-y=1
y=-1
USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y
urgent !!
<1 and <5 are what kind of angles
Answer:
Obtuse Angles are
1, 3, 5, 7, 9, 11
Acute angles are
2, 4, 6, 8, 10, 12
Step-by-step explanation:
A bag only contains 4 red and 6 blue marbles. What is the probability of drawing a green marble?
NO LINKS OR TROLL
THIS IS YOUR WARNING
Answer:
0% chance
Step-by-step explanation:
there are no green marbles
Marbles no
red=4blue=6green=0There is no green marbles
So it will never occur(impossible event)
Probability is 0Morgan bought candy for $.95, an eraser for $.15, and 2 pencils for $.40 each. (a) how much did the pencils cost? (b) how much did she spend in all? (c) how much change did she get from $5.00
Answer:
Step-by-step explanation:
A
1 pencil costs 0.40 dollars.
1 pencils cost 2 times 0.40 = .80 dollars
B
Candy 0.95
eraser 0.15
2 pencils 0.80
Total 1.90 Add
C
She started with 5.00 dollars
She spent 1.90 dollars Subtract
Here change was 3.10 dollars.
Can anyone help me with this?
Students who
ride the bus
65% of the 800 students at North High School ride the
bus. How many students ride the bus?
0 65
?
100 multiplied by
is equal to 800
H
65 multiplied by
vis equal to
0 100
800
out of
students ride the bus.
All
students
Which pair of triangles must be similar?
Triangle 5 has a 30∘ angle and a 90∘ angle. Triangle 6 has a 30∘ angle and a 70∘ angle.
Triangles 1 and 2 each have a 35∘ angle.
Triangle 7 has a 50∘ angle and a 25∘ angle. Triangle 8 has a 50∘ angle and a 105∘ angle.
Triangles 3 and 4 are both isosceles. They each have a 40∘ angle.
A system of equations is shown below y=3x-7 y=2x+1 what is the solution to the system of equations 8 ,17 -8,17 -8,-17 8,-17
Answer:
(8, 17)
Step-by-step explanation:
y = 3x - 7, y = 2x + 1
Substitute the second equation into the first for y.
2x + 1 = 3x - 7
8 = x
Now use 8 for x in one of the equations and solve for y.
2(8) + 1 = y
y = 17
(8, 17)
A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,540 from popcorn sales and $1,330 from nacho sales. If on the next night the employees sell $1,672 of popcorn, how much is earned from nachos?
Using proportions, it is found that $1,225 is earned from nachos.
This question is solved by proportions, using a rule of three.The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?The rule of three is:
$1,540 - $1,330
$1,672 - $x
Applying line multiplication:
[tex]1672x = 1540 \times 1330[/tex]
[tex]x = \frac{1540 \times 1330}{1672}[/tex]
[tex]x = 1225[/tex]
$1,225 is earned from nachos.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Sarafina Ltd is considering two new investment projects, project A and project B. Each project would require an immediate cash outlay of Ksh. 10 million. The company expects to have available enough resources to undertake only one of the projects.The company management believe that return from existing activities and from the new projects will depend on economic environment that will prevail during the coming year. The estimated returns and probabilities of the possible economic environments are as follows:Economic environmentGoodFairBadProbability0.30.40.3Return from project A (Ksh "000")12,50012,5009,500Return from Project B (Ksh "000")10,00011,75013,000Aggregate return from existing portfolio of projects. (Ksh "000")90,000120,000130,000The company has a current market value of Ksh. 100 million. The management believe that the risks and returns per shilling of market value of their existing activities are similar to those of the stock market as a whole, including their dependence on whichever economic environment prevails. The return on treasury bills is 8% per annum.Using CAPM, advise the management of the company on which of the two projects should be accepted.
15 minutes how many students read the book in an hour
Answer:
Your reading speed will increase if you're reading a book you're familiar with than one you barely know. So, on average, you can read 40 to 50 pages of a book in an hour.
Step-by-step explanation:
x over 3 is less then or equal to 5
Answer:
x/3 ≤ 5
I'm not sure if this is what you were looking for. If not, please be more specific in your questions!
solve pls brainliest
Answer:
a) 45 minutes
b) 2 miles
c) 8 miles per hour
d) 7.5 minutes per mile
Step-by-step explanation:
a) (150/20) x 6 = 45 minutes
b) (20/150)(15) = 2 miles
c) (20/150)(60) = 8 miles per hour
d) 150/20 = 7.5 minutes per mile
20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute
distance/speed = time
6 miles / (2/15) miles per minute = 45 -> 45 minutes
time*speed=distance
15 minutes * 2/15 miles per minute = 2 miles
Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour
minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile
15/2=7.5
7.5 minutes per mile
Please help me
Three plus two times a number is seven less than four times a number.
What is that number?
Answer:
5
Step-by-step explanation:
3+2x = 4x-7
3+7=4x-2x
x=5
Answer:
Let the number be x
According to given conditions,
3 + 2x = 4x - 7
3 + 7 = 4x - 2x
10 = 2x
2x = 10
•°• x = 10/2
•°• x = 5
The number is 5.