Answer:
Y int at
(
0
,
3
2
)
X int at
(
3
,
0
)
Step-by-step explanation:
The line is easier to visualize when the equation is in slope-intercept form:
4
x
+
8
y
=
12
Divide each side by 4:
x
+
2
y
=
3
2
y
=
−
x
+
3
y
=
−
1
2
x
+
3
2
Y-intercept (plug in 0 for x):
y
=
−
1
2
(
0
)
+
3
2
y
=
3
2
X-intercept (plug in 0 for y):
0
=
−
1
2
x
+
3
2
−
3
2
=
−
1
2
x
x
=
3
Answer:
x-intercept (6,0)
y-intercept (0,-4.5)
Step-by-step explanation:
the x-intercept will be when y=0
and the y-intercept will be when x=0
so
[tex]y=0\\\\-6x+8(0)=-36\\\\-6x=-36\\\\x=6[/tex]
so the x intercept will be at (6,0)
[tex]x=0\\\\-6(0)+8y=-36\\\\8y=-36\\\\y=-\frac{9}{2}\\\\y=-4.5[/tex]
so the y intercept will be at (0,-4.5)
Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?
Answer:
8/15 of Jayda's vegetable garden are beefsteak tomatoes.
Step-by-step explanation:
Since Jayda has a vegetable garden, of which 2/3 are tomato plants, and of these tomato plants 4/5 are beefsteak tomatoes, to determine the portion of the garden that is made up of beefsteak tomatoes the following must be done mathematical reasoning:
The common least multiple of 3 and 5 is 15, so 2/3 can be re-categorized as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be re-categorized as 8/10.
Therefore, 8/15 of Jayda's vegetable garden are beefsteak tomatoes.
5y - 4x = -7
2y + 4x = 14
Solve the system of equation
Answer:
( 4 , 1 )
Step-by-step explanation:
when canceling out the y values and then adding the two functions together you get
7y = 7
dividing by seven you get y = 1
when plugging y = 1 into the first quation you get
5 - 4x = -7
subtract 5 from both sides
-4x = -12
divide both sides by negetive four
x = 3
then with plugging in y = 1 for the second equation you get
2 + 4x = 14
subtract 2 from both sides
4x = 12
divide both sides by 4
x = 3
you then check your answers and get the point of (4, 1) for your answer.
Find the sum of the expressions .
8+x-13+n(3-x) =
Answer: =−nx+3n+x−5
Step-by-step explanation:
is 4 1/2 equivalent to 4.5/100
Answer:
Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.
Step-by-step explanation:
hope i could help
4 + 2x = 20 so what does x =
HELLP MEEEE PLEAAASSSEE
If point C is the circumcenter, find each missing value(picture attached)
Answer:
yc is 12
ct is 7
yz is 24
for rz im not sure im so sorry :(
solve the question, please 2.0
Answer:
43.88
Step-by-step explanation:
Using the sine rule
BRAINLIEST
please leave a small explanation:)
Answer:
I say D cuz if u look at it, it's a pretty wide enough angle to be at least 47°
Answer:
your answer is c
Step-by-step explanation:
for it to be 137 degrees, the line would have to change direction to get to that angle, and same with the others, and with 43 degrees, it already gives you the measurement of N F so you can just take that same angle and put it there as your answer.
HTH!!
John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?
Answer:
900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.(4,8)
(2, 2)
Answer:
-2
Step-by-step explanation:
m=y2-y1/x2-x1
y2=2 y1=8
x2=2 x1=4
=2-8/4-2
=-4/2
=-2
Please help at least one Number it please!!!!
1) Which of these are equivalent to - ? Choose ALL that apply.
PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*
Which statement describes why AABC and ADEF are congruent by SAS?
Answer:It is The first one.
Step-by-step explanation:
Where do the lines y = 3x + 5 and y = -2x + 10 intersect?
9514 1404 393
Answer:
(x, y) = (1, 8)
Step-by-step explanation:
A graphing calculator quickly tells you the point of intersection.
__
You can equate the y-values and solve for x.
3x +5 = -2x +10
5x = 5 . . . . . . . . . add 2x-5
x = 1 . . . . . . . divide by 5
3·1 +5 = y = 8 . . . . substitute for x in the first equation
The point of intersection is (x, y) = (1, 8).
If 0 = 35, then solve for X.
Х
9
Round to the nearest hundredth.
Answer:
x = 15.69
Step-by-step explanation:
Reference angle = 35°
Opposite side to reference angle = 9
hypotenuse = x
Find x using trigonometric ratio.
Thus,
Sin 35 = 9/x
Multiply both sides by x
x*sin 35 = 9
Divide both sides by sin 35
x = 9/sin 35
x = 15.69 (nearest hundredth)
Find the domain and range of: {(-2,0), (-1,1), (0,2),(1,3)}
Answer: domain: {-2, -1, 0, 1}
range: {0, 1, 2, 3}
Which of the following is in reduced form?
if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8
Answer:
11/36
Step-by-step explanation:
We have 36 possible outcomes when rolling a pair of dice.
Only 1 outcome gets both 3's. (3 3)
For the sum to be greater than 8, there are 10 outcomes.
(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)
The probability is therefore (1+10)/36=11/36.
I estimated that the repairs to my car would cost $80. In fact, they cost $120. What was the percentage error?
Answer:
69%
Step-by-step explanation:
Im just doing this to get my points up. dont get mad
Is (2, 7) a solution to this system of equations?
x + y = 9
3x + 13y - 9
Answer:
No
Step-by-step explanation:
Assuming that you put the wrong sign for the second equation if you plug (2,7) into the two equations it only works for one equation.
Cuanto 5 entre 6'658
The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely.
(a) What is the probability that the general manager is next to the vice president?
(b) What is the probability that the marketing director is in the leftmost position?
(c) Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.
Solution :
Let the three places be 1, 2, 3, 4, 5, 6, 7, 8
a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2
= 14
[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]
Therefore the required probability is
[tex]$=\frac{14}{8!}$[/tex]
= [tex]$\frac{14}{40320} = 0.000347$[/tex]
b). The probability that the marketing director to be placed in the leftmost position is
[tex]$=\frac{7!}{8!}$[/tex]
[tex]$=\frac{1}{8} = 0.125$[/tex]
c). The two events are not independent because
[tex]$P(A \cap B) \neq P(A) \times P(B)$[/tex]
[tex]$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$[/tex]
where A is the case a and B is the case b.
(a) The possibility of the general manager is next to the vice president is [tex]\frac{1}{4}[/tex].
(b) The possibility of the marketing director is in the leftmost position is [tex]\frac{1}{8}[/tex].
(c) So, the two events are dependent on each other.
Probability:
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it. The probability of all the events in a sample space adds up to 1.
Total people in company A and company B is [tex]=8[/tex]
Overall ways in which these [tex]8[/tex] people can be lined up[tex]=8![/tex]
[tex]=40320[/tex]
(a) The probability that the general manager is next to the vice president is[tex]=P(A)[/tex]
Now, we can combine the general manager and vice president as one, then the total people in both the company will become [tex]7[/tex].
by arranging these [tex]7[/tex] people in one line [tex]=7![/tex]
[tex]=5040[/tex]
Again, combine the general manager and vice president in one line[tex]=2![/tex]
[tex]=2[/tex]
Therefore, [tex]P(A)=\frac{5040\times 2}{40320}[/tex]
[tex]=\frac{10080}{40320}[/tex]
[tex]P(A)=\frac{1}{4}[/tex]
(b) The probability that the marketing director is in the leftmost position is[tex]=P(B)[/tex]
Now, fixing the position of marketing director in the leftmost.
arranging the [tex]7[/tex] other people in [tex]7![/tex] ways [tex]=5040[/tex]
Therefore,[tex]P(B)=\frac{5040}{40320}[/tex]
[tex]=\frac{1}{8}[/tex]
[tex]P(B)=\frac{1}{8}[/tex]
(c) Assuming event B already occurred which means that the position of marketing director is already fixed in the leftmost position.
Now, trying to find out the probability of the general manager next to the vice president is event A. it comes different because we are not allowed to arrange rest [tex]7[/tex] people, we have to fix the position of one person that causes the repetition of probability.
So, the two events are dependent on each other.
Learn more about the topic of Probability: https://brainly.com/question/26959834
pplllllllllllllllsss help 1)
Calculate the hypotenuse. Find the missing side of each triangle, leave your answers in simplest radical form.
Answer:
easy
Step-by-step explanation:
just mutiply both numbers of the the side by themselves or square them, then add them together and find the square root. sorry that i can't do them individual but this is a simple explaination
Help plz:)))I’ll mark u Brainliest
Answer:
ST = 8 m
Step-by-step explanation:
Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.
PQ corresponds to ST.
Therefore, PQ is congruent to corresponding side ST, which is 8 m
ST = 8 m
I need help quick please!!!!
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
THIS IS MY 6TH TIME POSTING THIS HELP
A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?
Answer:
14 yards
Step-by-step explanation:
length of basketball court=
7 inches
(times by 2.8) 2.5 inches-5 yards( times by 2.8)
7 inches=14
i hope i helped:)
unit rate for $112 in 8 hours
Answer:
$14 per hour could i get brainliest please?
Step-by-step explanation:
Answer:
$14 per hour
Step-by-step explanation:
112 divided by 8 is 14. So $14 per hour
I will give brainiest to whoever answers correctly !!
Answer:
A = $2937.5
Step-by-step explanation:
Given the following data;
Total gifts and scholarships = $900 + $250 + $300 + $1400 = $2850
Therefore, Principal = $2850
Time in years = 36 months/ 12 months = 3 years
Interest = 1% = 1/100 = 0.01
n = 360
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.Substituting into the equation, we have;
[tex] A = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]
[tex] A = 2850(1 + 0.000028)^{1080}[/tex]
[tex] A = 2850(1.000028)^{1080}[/tex]
[tex] A = 2850(1.0307)[/tex]
A = $2937.5
Therefore, the graduate will have $2937.5 when he cashes in the CD.