Answer:
x = ± sqrt(43)
Step-by-step explanation:
2x^2 - 28 = x^2 + 15
Subtract x^2 from each side
2x^2-x^2 - 28 = x^2-x^2 + 15
x^2 -28 = 15
Add 28 to each side
x^2 - 28 +28= 15+28
x^2 = 43
Take the square root of each side
sqrt(x^2) = ± sqrt(43)
x = ± sqrt(43)
Given 2x² = -8, x is
Answer:
x = -2 x = 2 (irrational numbers)
Step-by-step explanation:
You roll a pair of dice once.
What is the probability that you will roll a 7?
Answer:
none because there is no 7
Examine the following table, which represents some points on a line
What equation for the line in slope-intercept form?
a. y = -3x — 6
b. y = -1/3x —2
c. y = -3x —2
d. y = -1/3x —6
e. y = 3x —2
Answer:
Option (b)
Step-by-step explanation:
Let the points represented by the given table lie on a line.
And the equation of the line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Let the points lying on the line are (0, -2) and (3, -3)
Slope of the line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{-2-(-3)}{0-3}[/tex]
m = [tex]\frac{-2+3}{0-3}[/tex]
m = -[tex]\frac{1}{3}[/tex]
y-intercept 'b' = (-2)
Equation of the line is,
y = [tex]-\frac{1}{3}x-2[/tex]
This equation matches with equation given in option (b).
Option (b) will be the answer.
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning an even number and flipping heads is
Answer:
50%
Step-by-step explanation:
since talks is one side and heads is one side both together equal 100% so half aka heads would be 50%
What is the surface area?
I need to divide a recipe in half that calls for 1/2 of a cup of sugar. How much sugar do I need?
Answer:
1/4 cup of sugar
Step-by-step explanation:
Answer:1/4
Step-by-step explanation:
1/2 divided by 2 = 1/4
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
A = 35 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 10)(7)
A = 35 cm^2
Find the area of the circle:
Diameter: 18 in
Round to the nearest tenth and include units in your answer
Answer:
1017.8
Step-by-step explanation:
the area of the circle is A = pi r^2
There are a total of 84 students in the robotics club and the science club. The science club has 12 more students than the robotics club. How many students are in the science club?
Answer:
48 students in science
Step-by-step explanation:
Let r = students in robots club
s = students in science club
r+s = 84
s = r+12
Substitute the second equation into the first
r+(r+12) = 84
Combine like terms
2r+12 = 84
Subtract 12 from each side
2r = 84-12
2r = 72
Divide by 2
r = 72/2 = 36
We need to find s
s = r+12
s = 36+12
s = 48
There are 48 students in the science club
SOMEBODY PLEASE HELP ME IN GEOMETRY
Answer:
1
Step-by-step explanation:
7x-1+2x-1=7
9x=9
x=1
Answer:
x=1
Step-by-step explanation:
RS + ST = RT
7x-1 + 2x-1 = 7
Combine like terms
9x-2 = 7
Add 2 to each side
9x-2+2 = 7+2
9x= 9
Divide by 9
9x/9 = 9/9
x = 1
A collection of 36 coins consists of nickels, dimes and quarters. There are three fewer quarters than nickels and six more dimes than quarters. How many of each kind of coin is there?
Answer:
12 nickels, 9 quarters, 15 dimes
Step-by-step explanation:
Let's call the number of nickels n, the number of dimes d, and the number of quarters q. Now, we can set up the following equations:
n+d+q=36
q=n-3
d=q+6
Now, we can do some substitution:
d=(n-3)+6=n+3
Plugging this into the first equation, you get:
n+(n+3)+(n-3)=36
3n=36
n=12
There are twelve nickels, meaning that there are 9 quarters and 15 dimes. Hope this helps!
Which is a solution to (x – 3)(x + 9) = –27?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
(x - 3)(x + 9) = -27
Expand the brackets:
x^2 + 9x - 3x - 27 = -27
Simplify:
x^2 + 6x - 27 = -27
+ 27 to both sides
x^2 + 6x = 0
Factorise:
x(x + 6)
The solutions are x = 0, x = -6
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer: If you would like to solve (x – 3)(x + 9) = –27, you can do this using the following steps:
(x – 3)(x + 9) = –27
x^2 + 9x - 3x - 27 = -27
x^2 + 6x - 27 + 27 = 0
x^2 + 6x = 0
x * (x + 6) = 0
1. x = 0
2. x = -6
The correct result would be x = 0.
Step-by-step explanation:
Which of the following correctly describes confidence level?
A. A confidence level is the probability that a simple event will occur.
B. A confidence level is a value that is added and subtracted from a given value to give an interval where something will likely
happen.
C. A confidence level is the probability that something will fall within a confidence interval.
D. A confidence level is the probability that something will fall outside of a confidence interval.
You have been blessed with an ANSWER from Zaxoosh -
The Answer To Your Question Is:
A
I hope this ANSWER helped you, If it did please consider RATING my answer and THANKING me for the answer + giving me BRAINIEST. And if your one of the best, you could FOLLOW my profile.
Answer:
A
Step-by-step explanation:
Thats the correct definition
When solving 4x – 3 = 5, the property used in the first step is the ________ property of equality. Question 12 options: A) transitive B) division C) substitution D) addition
Answer:
Addition
Step-by-step explanation:
The first step in solving 4x-3=5 is to add 3 to both sides. This demonstrates the addition property of equality, since adding a number to both sides of an equation balances it.
Identify a pair of parallel lines in the given figure. answers : n and o m and l m and o n and m
Answer:
lines n and o are parallel lines
Step-by-step explanation:
Please help 35 points!
Answer:
life changes over time?
Step-by-step explanation:
sorry if it is wrong. I havent done this yet
Antonio's checking account currently has a negative balance of −$42.17. Yesterday he made purchases of $3.75 and $12.07. If Antonio's bank charges $34 for overdraft protection, what was his account balance prior to yesterday's transactions?
Answer:
He started the day with 7.65
Step-by-step explanation:
Assuming at the beginning of yesterday he had a balance of x
He will be charged 34 dollars since he went negative
x- 3.75 -12.07 - 34 =-42.17
Combine like terms
x -49.82 = -42.17
Add 49.82 to each side
x -49.82+49.82 = -42.17+49.82
x = 7.65
Please help me with this I’m struggling and don’t know what to do
Answer:
∠ BOJ and ∠BOE
Step-by-step explanation:
A central angle is an angle whose vertex is at the centre of the circle.
The 2 sides of the angle are radii from the opposite ends of an arc.
∠ BOJ and ∠ BOE are therefore central angles
A (-7, 7)
B (-5, -7)
C x-axis
again i don't understand :(
Answer:
13) x=4, y=0
15) x= -3, y=1
Step-by-step explanation:
13. Label the 2 equations.
y= x-4 -----(1)
-4x -6y= -16 -----(2)
From (2): -2x -3y= -8 -----(3)
(divide by 2 throughout)
Subst. (1) into (3):
-2x -3(x-4)= -8
-2x -3x +12= -8 (expand)
-5x= -8 -12 (simplify, constant to 1 side)
-5x= -20 (simplify)
x= 4 (divide by -5 throughout)
subst. x=4 into (1):
y= 4 -4
y= 0
15. x= y -4 -----(1)
-2x +3y= 6 -----(2)
subst. (1) into (2):
-2(y-4) +3y= 6
-2(y) -2(-4)= 6 (expand)
-2y +8= 6
-2y= 6 -8 (bring constant to 1 side)
-2y= -2
y= 1 (divide by -2 throughout)
subst. y=1 into (1):
x= 1 -4
x= -3
Given the equation (X - 6)^2 = y + 7, find the vertex.
Answer:
(x-6)^(2)=y+7
Step-by-step explanation:
(a) If U = {y:5 20), P= {7,8,12, 19; and Q = {12, 15, 17, 19), find PU Q and P-Q.
Solution,
P={7,8,12,19}
Q={12,15,17,19}
P U Q={7,8,12,19} U { 12,15,17,19}
={ 7,8,12,15,17,19}
P-Q={7,8,12,19}-{12,15,17,19}
={7,8}
Hope it helps
Good luck on your assignment
Help please... I really didn’t understand this lesson.
Answer:
7(14)-11=87
2(14)-3=25
5(14)-2=68
Step-by-step explanation:
Ight Homie, lemme help you out.
To start, add (7x-11) + (2x-3) + (5x-2)
That should get you (14x-16)
Then set up the equation
14x-16=180
180 is the sum of the triangle angles. (if i said that right)
Then solve for x
14x-16=180
+16 +16
14x=196 Divide
((14x)/14)=196/14
x should equal 14.
Then replace x with 14
7(14)-11=87
2(14)-3=25
5(14)-2=68
I hope this helps. Stay safe Homie!
Help I’m confused I will mark as Brainliest for the best answer and explanation
∠ and ∠ are a linear pair. If the ∠=2+24 and ∠=4+36, what are ∠ and ∠?
Answer:
x = 20
KPL = 64
JPL = 116
Step-by-step explanation:
A linear pair adds to 180 degrees
2x+24 + 4x+ 36 = 180
Combine like terms
6x+60 = 180
Subtract 60 from each side
6x = 120
Divide by 6
6x/6 = 120/6
x = 20
KPL = 2x+24 = 2*20+24 = 40+24 = 64
JPL = 4x+36 = 4*20 +36 = 80+36 = 116
KPL = 64
x = 20
JPL = 116
Step-by-step explanation:
Linear = 180
2x+24 + 4x+ 36 = 180
Must combine like terms ( 2x and 4x)
6x+60 = 180
Isolate x by subtracting 60
6x = 120
Divide by 6 to simplify
6x/6 = 120/6
x = 20
KPL = 2x+24 = 2*20+24 = 40+24 = 64
JPL = 4x+36 = 4*20 +36 = 80+36 = 116
Can u pls tell me step by step ty
Answer:
P=1440
Step-by-step explanation:
"P is 90 more than Q."
P=Q+90
"20% of P is equal to 1/3 of Q."
1/5(P)=(1/3)Q
From the first equation, we have that P=Q+90.
Thus, we can substitute any P's for Q+90's!
The second equation becomes 1/5(Q+90)=(1/3)Q
Distribute the 1/5 and 1/3 to get (1/5)Q+180=(1/3)Q
Subtract 1/5 Q from both sides.
You should get 180= (2/15)Q
Multiply both sides by 15/2 to get 1350=Q.
Given Q, we can easily solve for P.
Remember the first equation- P=Q+90
Then substitute in 1350 for Q.
So we have P=1350+90
Finally, we have P=1440
Rewrite the equation by completing the square. 4 x^2 +20 x +25 = 0
Answer:
x=-5/2
Step-by-step explanation:
4 x^2 +20 x +25 = 0
x^2+5x=-25/4
(b/2)^2=(5/2)^2
x^2+5x+25/4=0
(x+5/2)^2=0
x=-5/2
(Hope this helps)
Two boys divided $3.36 so that one boy received 12 cents less than three times as much as the other. How was the money divided?
Answer:
first one take 1.5$ and the second one take 1.86$
Step-by-step explanation:
x + y = 3.36 --> the boys are splitting $3.36
x = 3y - .12 --> one boy received $.12 less than 3 times as much as the other
--> substitute the second equation for the x in the first equation
(3y - .12) + y = 3.36 --> combine like terms
4y - .12 = 3.36 --> add .12 to both sides of the equation
4y = 3.48 --> divide both sides by 4
y = .87
the other boy gets $0.87
substitute into x = 3y - 12
x = 3(.87) - .12
x = 2.61 - .12
x = 2.49
the first boy gets $2.49
please help! ill mark you as brainleist if you get it correct!
Answer:
6
Step-by-step exp
Answer:
6
Step-by-step explanation:
A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit of 12.5%, at what price should he sell each book? ( with explanation )
Answer:
$6,300
Step-by-step explanation:
Step 1
Find the Cost Price of the books
A trader purchased 1,000 books at the rate of $5.40 per book
This is calculated as:
If 1 book = $5.40
1000 books = ???
We cross multiply
1000 books × $5.40
= $5,400
He bought 1000 books for $5,400
His total cost price = Transportation + Cost of books
Transportation = $200
Cost price = $5,400 + $200
= $5,600
Step 2
Find the profit he made from the sale of the books
Percentage profit = Profit / Cost price × 100
Percentage profit = 12.5%
Cost price = $5,600
We have :
12.5 = Profit/ $5,600 × 100
12.5 = (100 × Profit)/ $5,600
Cross multiply
12.5 × $5,600 = 100 × Profit
Divide both sides by 100
(12.5 × $5,600) ÷ 100 = Profit
Profit = $700.
Step 3
Find the selling price
The Formula to calculate Selling Price is given as:
Selling price = Cost Price + Profit
Selling price = $5,600 + $700
Selling price = $6,300
