x = −12/5 and y = −58/15
Step-by-step explanation:
x+3y=−14
4x−3y=2
Add these equations to eliminate y:
5x = −12
Then solve 5x = −12 for x:
5x = −12
5x/5 = −12/5 (Divide both sides by 5)
x = −12/5
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
x + 3y = −14
Substitute −12/5 for x in x + 3y = −14:
−12/5 + 3y = −14
3y + −12/5 = −14
(Simplify both sides of the equation)
3y + −12/5 + 12/5 = −14 + 12/5
(Add 12/5 to both sides)
3y = −58/5
3y/3 = −58/5/3
(Divide both sides by 3)
y = −58/15
John travels 16m ^2 +100 miles. /since he can only travel 8m +10 mph, it takes him 2m hours to make the trip. Solve for m
Answer:
m = 5
Step-by-step explanation:
distance traveled D= 16m^2+100 miles
speed, S= 8m+10 mph
time taken, T = 2m hours
We know that D = S×T
⇒ 16m^2+100 = (8m+10)× 2m
⇒ 16m^2+100 = 16m^2+ 20m
⇒ 20m = 100
⇒ m = 5
Therefore, the value of m is 5
What are the x-intercepts of y = x^2 + 5x - 1?
Answer:
hope this helps:) have a good day
What is the circumference of the pancake?
Multiple Choice
Simplify each polynomial.
6g + 8k – 9g + 2k
A. 3g + 10k
B. –3g + 10k
C. 17gk
D. 10k – 3
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
The final polynomial after simplifying is -3g + 10k.
Option B is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
6g + 8k – 9g + 2k
Add like terms.
6g - 9g + 8k + 2k
-3g + 10k
Thus,
The final polynomial after simplifying is -3g + 10k.
Option B is the correct answer.
Learn more about polynomials here:
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#SPJ2
Can someone help me plzzz and thank you
Answer:
(0.5,-6)
Step-by-step explanation:
mid point=(x1+x2)/2
=(-3+4)/2
= 1/2
=0.5
midpoint=(y1+y2)/2
=(-9+(-3))/2
=(-9-3)/2
=--12/2
=-6
Please Help! A bag contains four green marbles and five yellow marbles. You randomly select three marbles. What is the probability that all three marbles are green when (a) you replace each marble before selecting the next marble, and (b) you do not replace each marble before selecting the next marble? Write each probability as a decimal rounded to the nearest thousandth. Then compare the probabilities.
Answer:
A. 0.088
B. 0.048
C. 1.83 times
Step-by-step explanation:
From the question given above, the following data were obtained:
Green (G) = 4
Yellow (Y) = 5
Total = 4 + 5 = 9
A. Determination of the probability of selecting three green marbles with replacement.
Green (G) = 4
Yellow (Y) = 5
Total = 9
P(1st G) = 4/9
P(2nd G) = 4/9
P(3rd G) = 4/9
P(all G) = P(1st G) × P(2nd G) × P(3rd G)
P(all G) = 4/9 × 4/9 × 4/9
P(all G) = 64/729
P(all G) = 0.088
B. Determination of the probability of selecting three green marbles without replacement.
Green (G) = 4
Yellow (Y) = 5
Total = 9
P(1st G) = 4/9
P(2nd G) = 3/8
P(3rd G) = 2/7
P(all G) = P(1st G) × P(2nd G) × P(3rd G)
P(all G) = 4/9 × 3/8 × 2/7
P(all G) = 24/504
P(all G) = 0.048
C. Comparing probability of replacement and without replacement.
P(all G with replacement) = A = 0.088
P(all G without replacement) = B = 0.048
A/B = 0.088/0.048
A/B = 1.83
Cross multiply
A = 1.83 × B
Thus,
P(all G with replacement) = 1.83 × P(all G without replacement)
plz help and pls dont give me no website pls
Answer:
x=7
Step-by-step explanation:
In a parallelogram, you know that parallel sides are equal in length, therefore, x+4 must equal 5x-24. From there you solve for x.
x+4 = 5x-24
28 = 4x (subtract x from both sides and add 24 to both sides)
7=x (28 divided by 4 is 7).
Answer:
Here you go, please mark brainliest for my effort! Thanks!
Step-by-step explanation:
5x - 24 and x + 4 are equal in length, so set them equal to each other.
5x - 24 = x + 4
Subtract x on both sides.
4x - 24 = 4
Now, add 24 to both sides.
4x = 28
Finally, divide both sides by 4.
x = 7
So the answer is x = 7
Don't forget to mark brainliest!
Please help before 2:10
Answer:
X= -1
Step-by-step explanation:
Answer:
x = -1 or D
Step-by-step explanation:
hope this helps
Nima can mow 18 yards in 6 days. Which strategy can be used to determine how many yards Nima can mow in 20 days?
Add the difference in the days to the number of yards.
Subtract the difference in the days from the number of yards.
Find the number of yards per day by division, and then multiply that quotient by the number of days.
Find the number of yards per day by division, and then divide that quotient by the number of days.
Answer:
the number of yards per day is 4
Step-by-step explanation:
because if you divide 6 with 18 you get 4 so theirs your answer
Answer:
C
Step-by-step explanation:
C
Juan is solving the problem 7 divided by 1/3. What related multiplication fact will he use to solve?
help please thank you sm!!!
Answer:i think it is 54 degree
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
An angle inscribed in a semi circle measures 90. So that means the third angle measures 36.
HERE for help me one more
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
PLEASEEEE HELPPPPP ME !! :)
Answer:
ok ok, i think it's the last one
Step-by-step explanation:
You can send 34 text messages in 12 minutes. How many minutes does it take you to send 68 messages?
Answer:
24
Step-by-step explanation:
34 messages per 12 minutes
68 is just 34 mulitplied by 2.
it would take you twice as long because there are twice as many messages.
12 minuted multipled by 2 is 24.
It would take you 24 minutes to send 34 messages.
Answer:
24 minutes
Step-by-step explanation:
34/12
68/x
34*2=68
12*2=24
What is the y-intercept of this line?
12, 8, 4, 0
Step-by-step explanation:
Thank Me. Super.
Find the distance between (-22,15) and (30, -25).
Answer:
65.60
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(30−−22)2+(−25−15)2(30--22)2+(-25-15)2
= √522+(−40)2522+(-40)2
= √2704+16002704+1600
= √43044304 = 65.6049
A blanket shop had 27 feet of fabric. If they wanted to use the fabric to make 5
blankets, each the same length, how long would each one be? Between what two
whole numbers does your answer lie?
Answer:
5 2/5 falls in between 5 and 6
Step-by-step explanation:
27/5 = 5 2/5 ft per blanket
5 2/5 falls in between 5 and 6
Answer:
27/5 = 5 2/5 ft per blanket
5 2/5 falls in between 5 and 6
Which expression is equivalent to 0.06h +h+0.85h?
Answer:
1.91h
Step-by-step explanation:
0.06h+h+0.85h
1.91h
Answer:
The first one asdfghjkfruyctdf
Step-by-step explanation:
In a tennis club the ratio number of junior members : number of senior members is
7 : 10. There are 18 more senior members than junior members. Find the total amount of club members.
Answer:
35 members
Step-by-step explanation:
In a tennis club the ratio number of junior members : number of senior members is 7 : 10
From the above ratio
Number of junior member = 7
Number of senior members = 10
There are 18 more senior members than junior members.
S = 18 + j
10 + 18 = 28 senior members
Hence,
Total number of members = 28 senior members + 7 junior members
= 35 members
Find area of parallelogram plz
Answer:
A)
Step-by-step explanation:
The answer is A) because the formula to solving the area of a parrellogram is b x h
HELP PLZ THANK U ILY SM YOUR AMAZING LITERALLY INCREDIBLE
Answer:
our inputs are 3 & 1/2
Step-by-step explanation:
the ? is the slope and the slope is equal to 1/2 so
?=1/2
the point slope formula is
(y-y1)=m(x-x1) (x1,y1)--> a point on the line m--> slope
so we chose (x1,y1) as (3,0)
when we plug that in we get
y-0=1/2(x-3)
so our inputs are 3 & 1/2
Ravi is running against two other candidates for student council president. All of the 750 students in Ravi's school will vote for student council president. How can Ravi generate a representative sample that will help him determine whether he will win the election?
(7th grade 8-1)
Answer:
50 students from each grade
Step-by-step explanation:
If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes
Also 50 is easily divisible by 750
Therefore the above represent the answer
the probability that two cards are selected at random from a deck of cards containing a face card and diamond without replacement
Answer:
6/2652 could possibly be the answer?
it really depends on the amount
Step-by-step explanation:
The circumscribing circle O and the inscribed circle of triangle ABC have the same center. Which of the following constructions are crucial to draw a circle inscribed on a given equilateral triangle? Select all that apply.
Answer:
Construct perpendicular lines & construct angle bisectors
Step-by-step explanation:
I saw someone ask the same question and they had that anwser^
The constructions that are crucial to draw a circle inscribed on the given equilateral triangle are:
Construct line segmentsConstruct angle bisectors.How to make an inscribed circle in a triangle?There can be many different ways, one can include arc way, one can include angle bisector and perpendicular, and we can even try to discover some. But usually, (for the angle bisector and perpendiculars), we do the following:
Divide one of the angles in half.Divide another angle in half.The incenter, or point where they cross, is the inscribed circle's centre.Construct a perpendicular from the triangle's centre point to one of its sides.Draw an inscribed circle by placing the compass on the centre point and adjusting the length to where the perpendicular crosses the triangle.Drawing random arcs isn't gonna help mostly neither unspecific line segments. Drawing angle bisectors of the triangle and perpendiculars is one of the part.
Thus, the constructions that are crucial to draw a circle inscribed on the given equilateral triangle are:
Construct line segmentsConstruct angle bisectors.Learn more about inscribing circle here:
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given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6
what is five million four thousand three hundred in standard form
Answer:
5,400,300...........
5004300
........
......
....
...
..
.
Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x
Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
Which statement is best supported by the information in the box plots?
Answer: A
Step-by-step explanation:
Answer:
It is A
Step-by-step explanation:
Quadrilateral ABCD is inscribed in this circle
What is the measure of angle A?
Answer:
The four angles of a quadrilateral sum to 360 degrees.
If A and B are right angles then (2x+1) + 148 equal 180 degrees.
Therefore angle A = 32 degrees.
Step-by-step explanation:
Gretta wrapped 15 presents every 20 hours. At that rate, how long, in hours, will it take to wrap 18 presents? label optional
Answer:
[tex]15 \: presents = 20 \: hours \\ 18 \: presents = ( \frac{18}{15} \times 20) \: hours \\ = 24 \: hours[/tex]
Time required to wrap 1 present
20/154/3hTkme to wrap 18 present
18(4/3)6(4)24h