Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
Answer
x= 4.75 y=-22
Step-by-step explanation:
got it right on the unit test!!
Simplify: 6-/18 - 3.450
Answer:
-3.11666666667
Step-by-step explanation:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants. hope this helps you :)
F(x) is a function
A.true
B.false
Answer:
false
Step-by-step explanation:
A function has a one to one correspondence. That means each input goes to one output. 12 goes to 2 different outputs so it is not a function
Answer:
false
Step-by-step explanation:
f(x) is not a function because an input can I have more than one output.
Lines a and b are parallel. If the slope of line a is 3 , what is the slope of line b?
A. -3
B. -1/3
C. 1/3
D. 3
Answer:
D.
Step-by-step explanation:
They are parallel and therefore has the same slope.
II'll mark brainliest who is the first to answer both questions correctly.
A)
You take the four Aces, four 2's, and four 3's from a standard deck of 52 cards, forming a set of 12 cards. You then deal all 12 cards at random to four players, so that each player gets three cards. What is the probability that each player gets an Ace, a 2, and a 3?
B)
In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from 1 to 10, and one SuperBall is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20.
Answer:
A) The probability that each player gets an ace, a 2 and a 3 with the order unimportant = (72/1925) = 0.0374
B) The probability of winning the jackpot = (1/1200) = 0.0008333
Step-by-step explanation:
A) There are four Aces, four 2's, and four 3's, forming a set of 12 cards
These cards are to be divided at random between 4 players.
What is the probability that each player gets an ace, a 2 and a 3.
We start with the first player, the probability of these cards for the first player, with order not important (because order isn't important, there are 6 different arrangement of the 3 cards)
6 × (4/12) × (4/11) × (4/10) = (16/55)
Then the second player getting that same order of cards
6 × (3/9) × (3/8) × (3/7) = (9/28)
Third player
6 × (2/6) × (2/5) × (2/4) = (2/5)
Fourth player
6 × (1/3) × (1/2) × (1/1) = 1
Probability that each of the players get different cards is then a multiple of the probabilities obtained above
= (16/55) × (9/28) × (2/5) × 1
= (288/7700) = (72/1925) = 0.0374
B) The concluding part of the B question.
To win the jackpot, the numbers on your ticket must match the three white balls and the SuperBall. (You don't need to match the white balls in order). If you buy a ticket, what is your probability of winning the jackpot?
Probability of wimning the jackpot is a product the probability of getting the 3 white balls correctly (order unimportant) and the probability of picking the right red superball
Probability of picking 3 white balls from 10
First slot, any of the 3 lucky numbers can fill this slot, (3/10)
Second slot, only 2 remaining lucky numbers can fill this slot, (2/9)
Third slot, only 1 remaining lucky number can fill this slot, (1/8)
(3/10) × (2/9) × (1/8) = (1/120)
Probability of picking the right red superball
(1/10)
Probability of winning the jackpot = (1/120) × (1/10) = (1/120) × (1/10) = (1/1200) = 0.0008333
Hope this Helps!!!
ASAP What is the slope of the line y= 3?
Answer:
the slope is zero because
Step-by-step explanation:
this is a perfect horizontal line passing through y=-3
I've been thought
hope it helps
Answer:
Slope = 0
This is because the line does not go up or down. And the line is horizontal leading to the factor of the slope being 0.
Let f(x)=3x + 5 and g(x) = 3x2 - x - 10. Find (f/g)(x) and state it’s domain
Answer:
9x²-3x-25, Domain is all real numbers
Step-by-step explanation:
f(g(x)) = 3(3x²-x-10)+5
= 9x²-3x-30+5
= 9x²-3x-25
Domain is all real numbers
Joey can eat a pound and a half of ribs in 45 minutes. How many minutes would it take Joey to eat five pounds of ribs at the same rate?
Answer: 150 minutes
Step-by-step explanation:
1.5 pounds in 45 min
5 pounds in X times
Using proportionality:
[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]
Reduce -6+b^6 by 2+b^4
A. -8+b^10
B. -4+b^10
C. -4+b^2
D. -8+b^6-b^4
Answer:
D
Step-by-step explanation:
-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴ {Now add the like terms}
= -6 - 2 + b⁶ - b⁴
= -8 + b⁶ - b⁴
Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?
Answer:
51.25
Step-by-step explanation:
Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.
Answer:
Multiply the price with the tip rate
18% = 0.18
62.5 x 0.18 = 11.25
that is the tip. We add that on to find the total price
62.5 + 11.25 = 73.75
73.75 dollars is the answer. Hope this helps
Step-by-step explanation:
On a fair, 8-sided die, each face is painted as follows: the 1 and 2 are painted green, 3 through 6 are painted blue, 7 is painted yellow, and 8 is painted gray. If the die is rolled one time, what is the probability that the roll will show an even number AND a face that is painted blue? Provide the final answer as a fraction.
Answer:
0.25
Step-by-step explanation:
outcomes painted in blue: {3, 4, 5, 6}
number of even outcomes painted in blue: 2
number of total outcomes: 8
Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25
Use the discriminant to determine the number of real solutions to the quadratic equation. −u2+2u−5=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer: None, 0 real roots
Step-by-step explanation:
To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]
b = 2
a = -1
c = -5
[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]
iff x > 0: 2 roots
iff x < 0: none
iff x = 0: 1 root
Actual Explanation and Intuition behind it:
If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level
If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer
If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0
The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]
681/4 i dont know this
Answer:
170.25
Step-by-step explanation:
It's a bit tricky to do not on plain paper, but here:
Just assume the long division symbol looks right
_1_7_0_.25
4 ) 681
-4
2 8
-2 8
0 1
The remainder is "1", so you'll just have to write that as either a fraction or decimal, whatever is assigned.
Fraction: 170 1/4
Decimal: 170.25
The answer is 170.25
please see the attached picture for full solution
hope it helps
Good luck on your assignment
8(3+a)=64 what is a=?
Answer:
5
Step-by-step explanation:
8(3 + a) = 64
3 + a = 8
a = 5
The value of a is 5.
please see the attached picture for full solution
hope it helps
Good luck on your assignment
asaphhhhhhhhhreeeerlllloppo
Answer:
(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)
Step-by-step explanation:
36 = 6 x 6
6 = 3 x 2
36 = 3 x 2 x 3 x 2
48 = 12 x 4
12 = 3 x 4
4 = 2 x 2
48 = 2 x 2 x 2 x 2 x 3
The number of bricklayers needed to build a brick wall varies inversely as the number of hours needed. Four bricklayers can build a brick wall in 30 hours. How long would it take 5 bricklayers to build a wall?
Answer: 24 hours
Step-by-step explanation:
You multiply 30 by 4/5, since this is inverse.
If it took 4 bricklayers to build a brick wall in 30 hours, then it would 24 hours for 5 bricklayers to build a brick wall.
The amount of time is reduced down to 4/5 of the first time because there are now 5 bricklayers instead of four.
Answer:
It would take 24 hours for 5 bricklayers to build a wall.
Step-by-step explanation:
We can deduce the number of hours the bricklayers needed to build a wall because they are inversely proportional.
In other words, more bricklayers will result in fewer work hours.
4 bricklayers × 30 hours = 120 bricklayers hours
120 bricklayers hours / 5 bricklayers = 24 hours
Therefore, it would only take 24 hours for 5 bricklayers to build a wall. (Which is 6 hours faster since one person joined the workforce to help the others).
I hope this helps!
Is the sqre root of 16 + 3/4 irrational
The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.
Im having trouble on these ones. Can someone help>
Answer:
9. 40°
10. 50°
11. 270°
12. 310°
Step-by-step explanation:
m∠BPC = 40° because it is complementary to ∠APB, which is 50°.
Arc AB is 50° because it will be equal to the central angle, which is 50°.
Arc ADC is 270° because it will be equal to the central angle, which is 270°.
Arc ADB is 310° because it will be equal to the central angle, also 310°.
the pair of figures is similar. find x. round to the nearest tenth if necessary.
A: 34cm
B: 29.6cm
C: 9.8cm
D: 21.9cm
Answer:
B
Step-by-step explanation:
What is the 18th term in an arithmetic sequence with the first term equal to 6 and the constant difference equal to 17?
Answer: 295
Step-by-step explanation:
[tex]Formula: a_n=a_1+(n-1)d[/tex]
Where;
[tex]a_n[/tex] = nth term (the term we're trying to find.)
[tex]a_1[/tex] = first term
[tex]n[/tex] = nth term
[tex]d[/tex] = difference
[tex]a_1_8=6+(18-1)(17)\\a_1_8=6+(17)(17)\\a_1_8=6+289\\a_1_8=295[/tex]
Find f(2) if f(x)=(x+1)^2
a. 9
b. 6
c. 5
Answer:
a. 9
Step-by-step explanation:
If f is at 2, then you subsitute anywhere that an x is with a 2. So in this particular equation we get
f(2) = (2+1)^2
f(2) = (3)^2
f(2) = 9
How do I find the value of x?
Answer:
Since you're asking how to find the value of x, you can use cosine, since the triangle is a right triangle.
Answer:
Only cosine include both hypotenuse and adjacent. We need both of them because those are 2 side that have numbers/letters.
So cos(28) = 11/x
Multiply by x
Then you'll get xcos(28) = 11
Do oposite cosine and you'll get
x = 11*opposite cos(28)
opposite cosine means cos^-1
thats approx. equal to 12.46 units
Simplify sqrt of 75x^6y^11 to the form a sqrt of b
Answer:
2121221
Step-by-step explanation:
1. Stephen works for an environmental protection agency
responsible for toxic waste cleanup. Stephen has to
remove the top 24" of contaminated soil in order to make
sure the soil is not a health hazard. The soil covers a
1200' x 1500'lot. How much soil must be removed?
Answer:
Area to be removed = 3600000 feet³
Step-by-step explanation:
We need to calculate the volume of soil to be removed. We have been already provided with area of the lot in feet.
Total Area of soil = 1200' x 1500'
Where soil to be removed is given in inches, convert it into feet
Soil to be removed = 24''=2'
Multiply both the the value to get the volume of soil to be removed so the soil is not a health hazard
Area to be removed = 1200' x 1500' x 2'
Area to be removed = 3600000 feet³
A train travels 180 miles in 2 hours. A jet goes 7 times faster. How far can the jet fly in 5 hours? Solve in space above.
Answer: 3150 miles
Step-by-step explanation: Ok, let's break it down...
180 ÷ 2 = 90 / The train travels 90 mph....
90 * 7 = 630 / The jet travels 630 mph....
630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!
marking city is 5 inches away from jamming city on the map what is the actual distance between those two cities
Answer: 50 miles
Step-by-step explanation:
On maps one inch is a mile
Can someone please answer this?
Answer: it is a parallelogram
Step-by-step explanation:
the coordinates form a parallelogram as you can see on the grid.
the shapes edges are joined together to form a parallelogram
there you go
Solve |4x +2|= 6
a.1 or -2
b.-1 or 2
c.1
s.2
Answer:
A
Step-by-step explanation:
When taking out the absolute value, it's 4x+2=6 and 4x+2=-6. At this point just solve for x and your answer(s) should be 1/-2
Answer:
x =1 x=-2
Step-by-step explanation:
|4x +2|= 6
There are two solutions a positive and a negative
4x+2 = 6 and 4x+2 = -6
Subtract 2 from each side
4x+2-2 = 6-2 4x+2-2 = -6-2
4x = 4 4x = -8
Divide by 4
4x/4 = 4/4 4x/4 =-8/4
x =1 x = -2
Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus 5
Answer:
y=3x+5
Step-by-step explanation:
y=y=y=x+x+x+5 is what I think you were saying. In that case:
y=x+x+x+5
y=3x+5
The equation of the line is y=3x+5
The equation of the given line is y = 2/3 x - 2
The standard form of the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
from the diagram attached, we can use the coordinate (0, -2) and (3, 0)
Get the slope
Slope "m" = 0-(-2)/3-0
m = 2/3
Since the line cuts the y-axis at y = -2, hence the y-intercept is b = -2
Substitute the given parameters into the equation:
y = mx + b
y = 2/3 x + (-2)
y = 2/3 x - 2
Hence the equation of the given line is y = 2/3 x - 2
Learn more here: https://brainly.com/question/17003809
The fabric for Isabella’s new dress is sold by the yard. The pattern for the dress requires 8 feet of fabric. How many yards of fabric does Isabella need to purchase if 1 yard is equal to 3 feet?
1 third yard
2 2 over 3 yards
6 yards
24 yards
Answer:
2 2/3 yd
Step-by-step explanation:
Let's convert from feet to yards. See how the feet cancel, because feet is in the denominator and the numerator?
8 ft x 1 yd/3 ft = 8/3 yd
As a mixed number:
8/3 = 2 2/3 yd of fabric
The figure shown represents a structural portion of the Eiffel Tower. Can the triangles be proven congruent? answers: A) Yes, ΔMNO ≅ ΔPON by HL. B) Yes, ΔMNO ≅ ΔPON by SAS. C) Yes, ΔNOM ≅ ΔPON by AAS. D) Yes, ΔONM ≅ ΔPON by SSS.
Answer:
B) Yes, ΔMNO ≅ ΔPON by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, side MO is congruent to side NP and side NO is shared by both triangles. The included angle in ΔMNO is ∠O and in ΔPON is ∠N, and they are congruent.
Answer:
Step-by-step explanation:
B) Yes, ΔMNO ≅ ΔPON by SAS
Just did this test.
