The solution to the system of equations is (45, –30)
How to determine the solution to the system of equations?The equations are given as:
y =-4/5x + 6
y = –30
Substitute y = –30 in y =-4/5x + 6
-30 =-4/5x + 6
Subtract 6 from both sides
-36 = -4/5x
Divide both sides by -4
9 = 1/5x
Multiply both sides by 5
x = 45
So, we have:
(x,y) = (45, –30)
Hence, the solution to the system of equations is (45, –30)
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Answer:
(45, –30)
Step-by-step explanation:
18. Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
19. Use the information provided to write the equation of each circle.
20. 21. State if the two triangles are congruent. If they are, state how you know.
22. 23. Find the value of each trigonometric ratio.
Answer:
Step-by-step explanation:
what is the probability of drawing a king and a diamond from a standard deck of cards
Answer:
P(king or diamond) = P(king) + P(diamond) - P(king and diamond) P(king or diamond) = (4/52) + (13/52) - (1/52) P(king or diamond) = 16/52 Page 5 P(king or diamond) = 4/13.
The area of the following composite figure is 125 square centimeters. What is the value of b?
9 cm
13 cm
14 cm
12 cm
Answer:
b=125
Step-by-step explanation
9cm x 14 - 1 = 125
given b( 5, -7), under which reflection is B' (-5, -7)?
Answer:
reflection in the y- axis
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y )
B (5, - 7 ) → B' (- 5, - 7 ) ← is a reflection in the y- axis
I need help asap!!!
Answer:
x-30+x+50=180(being co interior angle)
2x+20=180
2x=180-20
x=160/2
x=80
putting the value of x in x-30
80-30=50
again
y+50=180(being co interior angle)
y=180-50
y=130
Step-by-step explanation:
hope this will help you
They are same side ineterior so supplementary
x-30+x+50=1802x+20=1802x=160x=80Again
x-30+y=180x+y=21080+y=210y=130The dual bar chart shows the hair colour of boys and girls in a year group.
20
18
16
14
12
10
8
6
4
Black
Brown
Blonde
What fraction of the students are girls?
Give your answer in its simplest form
Frequency
20
Hair colour
Red
Boys
Girls
Which situation best describes conditional probability?.
Using it's concept, it is found that the situation that best describes conditional probability is given by:
4. Finding the probability of an event occurring given another event had already occurred.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.The key-word is previous, that is, we have to consider a previous event that already happened. Hence, researching the problem on the internet, the correct option is given by:
4. Finding the probability of an event occurring given another event had already occurred.
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Ali divided one fruit cake equally among six persons. What part of the cake he gave to each person?
Step-by-step explanation:
when we divide something equally among n people, it means we divide it equally into n parts, and every part is 1/n or 1 nth.
so, for six people or parts, everybody got 1/6 or 1 sixth of the cake.
Last week, Emma painted her fence. She used 6 cans of paint. There were 4 liters of paint in each can.
Answer:
I'm guessing you want how many liters of paint she used?
she used 24 liters of paint to paint her fence.
Step-by-step explanation:
theres 6 cans
4 liters in each can
6×4=24
The Stock Market Nadia is a stockbroker. She earns 14% commission each week. Last week, she sold $6,800 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:
she earns $1008 in commissions , hope this helps i did it
At the local nursery, 1/4 of the plants for sale are flowers and another 3/5 of them are bushes. What fraction of the plants for sale are either flowers or bushes?
Answer:
17/20
Step-by-step explanation:
1/4 +3/5 simplify into:
5/20 + 12/20= 17/20
The top of a glass coffee table is a circle. the circumference is 15.7 feet. what is the area of the table? helppp!!
Answer:
19.61505096...
Step-by-step explanation:
Area in a circle is pi(ratio)squared
Circumference is pi multiplied by diameter
Ratio is half of diameter
15.7 divided by pi is roughly 5 (4.997465213 to be exact)
Half of 5 is 2.5
pi(2.5)squared is 19.61505096...
PLEASE HELP <3 Figure out which ones best fit the graph
The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the graph using points (0, 12) and (4, 0):
y intercept = 12; slope = (0 - 12)/(4 - 0) = -3
The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.
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3. What is the best description of an isosceles triangle?
a triangle with a right angle
a triangle with all equal sides
a triangle with no equal sides
a triangle with two equal sides
Answer:
a triangle with two equal sides
Step-by-step explanation:
what’s the answer to 4*100000
Answer:
400000
Step-by-step explanation:
your welcome
list all the possible order you can have
wala ako pake sau
Step-by-step explanation:
wala ako pake sau
How do you do division/long division? I was never taught how, and now I am struggling with it. Please answer thoroughly, thanks <3
Answer:
See attached picture for example, hope it helps!
Step-by-step explanation:
Answer:Watch How to do long division (step by step) | 1 digit divisors
Step-by-step explanation:
How to do Long Division (Step by Step) | 1-Digit
please help me I will give brainliest
Answer:
The mass of salt!
Step-by-step explanation:
The responding variable is the part of an experiment that a scientists measures and observes closely for a change or a response
The diameter of a circle has endpoints (13,10) and (5,16) Part A: Find the center of the circle Part B: Find the distance of the radius Part C: Write the equation of the circle.
Answer:
See below ~
Step-by-step explanation:
Part A : Center
Midpoint of diameter pointsM = (13 + 5 / 2, 10 + 16 / 2)M = (9, 13)Part B : Radius
Half of the distance between the points16 - 10 / 26/2radius = 3Part C : Equation
(x - 9)² + (y - 13)² = 3²x² - 18x + 81 + y² - 26y + 169 = 9x² - 18x + y² - 26y + 241 = 0
Translate the following sentence into an equation: "Seven added to eight times a number is three less than
twice the number."
?
[tex]let\ x\ be\ the\ unknown\ number[/tex]
[tex]8x+7=2x-3[/tex]
first choose a variable to represent the number.
when something is "..." times a number, we are multiplying that number by that value.
"seven added to eight times a number" means that we are multiplying the number by eight (8x) and then adding seven to it (+7).
"is" usually means 'equals to' so we put an equal sign there.
"three less than twice the number" means that we are multiplying the number by two (2x) and then subtracting three from it (-3).
An equation form of given statement is, 7 + 8m = 3 - 2m where m is any real valued number.
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical expressions."
For given question,
We have been given a statement.
We need to translate given statement into a equation.
Seven added to eight times a number is three less than twice the number.
Let 'm' be any real number.
We can rewrite above statement as,
Seven plus to eight times 'm' is three minus twice 'm'.
⇒ 7 + 8 × m = 3 - 2 × m
So, we get an equation,
⇒ 7 + 8m = 3 - 2m
Therefore, an equation form of given statement is, 7 + 8m = 3 - 2m where m is any real valued number.
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Which is a stretch of an exponential decay function? f(x) = one-fifth (one-fifth) superscript x f(x) = one-fifth(5)x f(x) = 5one-fifth f(x) = 5(5)x
The exponential function that represents a stretch of a decay function is given as follows:
[tex]f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.It represents a stretch if a > 1, and a decay function if b < 1. Researching the problem on the internet, the correct option is given as follows:
[tex]f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x[/tex]
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Answer:
the answer is C :)
Step-by-step explanation:
Overall, about how many students prefer literature (poems, plays, or novels)?
I need help i sent in the graph
Answer:
3/8 or 37.5 percent, if there were 200 students there would be 75 students who enjoy literature.
please awnser quickly
Answer:
B': (-8,2)
C':(-8,9)
D':(-5,4)
Step-by-step explanation:
If im wrong pls tell me!
Can you solve all please
Answer:
A) 3
B) 3
C) 3
D) 3
I think those are the first four
Step-by-step explanation:
emergency!!
Write the function f(x)=x² – 25x in the form f(x) = a(x - h)? +k. Identify the vertex.
Answer:
See below
Step-by-step explanation:
Complete the square
[tex]f(x)=x^2-25x\\\\f(x)+(\frac{-25}{2})^2=x^2-25x+(\frac{-25}{2})^2\\\\f(x)+156.25=x^2-25x+156.25\\\\f(x)+156.25=(x-12.5)^2\\\\f(x)=(x-12.5)^2-156.25\\\\f(x)=(x-\frac{25}{2})^2-\frac{625}{156}[/tex]
Identify vertex
[tex](h,k)\rightarrow(-\frac{25}{2},-\frac{625}{156})[/tex]
find the quantities of 18% of 50
Answer:
9
Step-by-step explanation:
18%of 50
18/100×50
0.18×50= 9
Answer:
9
Step-by-step explanation:
18% of 50
We can rewrite it as,
% = 1/100of = *(into)> 18/100 * 50
Solving,
18/100 * 5018/10 * 518/29Hence,18% of 50 = 9
Use the diagram to determine which of the statements must be true.
No lines are parallel.
c∥d
a∥b
c∥e
a∥c
d∥e
a∥e
b∥d
Answer:
d∥e
Step-by-step explanation:
The figure shows that line e is perpendicular to line b, and line d is perpendicular to line b.
Theorem: If two lines are perpendicular to the same line, then the lines are parallel.
Since lines d and e are perpendicular to the same line, b, then lines d and e are parallel.
Answer: d∥e
nd Distances in the Coordinate Plane
What is the distance between the points (4, 7) and (4,-5)?
0 units
O2 units
O4 units
12 units
Answer:
12 units
Step-by-step explanation:
(4, 7) and (4, -5)
7-(-5)=12
4-4=0
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Answer:
its 1.6
Step-by-step explanation:
2 squared minus 1.2 squared is 2.56
the square root of that is 1.6
Please help!
A card is selected at random from the set of cards below.
A sample space for the experiment is {F, G, H, J, K, L, M}. Let W represent the event “the card is white”, let S represent “the card is shaded”, and let E represent “the number is even”. Select all that apply.
A. The event S is {F, H, K, L, M}.
B. The event not E is {F, G, H, M}.
C. The event S or E is {F, H, J, K, L, M}.
D. The event S and E is {K, L, M}.
E. P(W or S) = 1
F. P(W and S) = 1
Answer:
See below ~
Step-by-step explanation:
True Statements
A. The event S is {F, H, K, L, M}.C. The event S or E is {F, H, J, K, L, M}.D. The event S and E is {K, L, M}.E. P(W or S) = 1