Answer:
y=[tex]-\frac{3}{2}x-5[/tex]
Step-by-step explanation:
Use the point slope formula
[tex]y-y_1=m(x-x_1)[/tex]
y-1=[tex]-\frac{3}{2}[/tex](x-4)
Multiply -3/2 by (x-4) which equals -3/2x-6
Move the 1 by adding to both sides
The gives us y=[tex]-\frac{3}{2}x-5[/tex]
Find the coordinates of Cafter a 90° clockwise rotation
around the origin.
(0, -6)
6
(-6,0)
0
(-6, -6)
(6, 6)
Answer:
(0,-6)
Step-by-step explanation:here the answer
Solve the math problem
Answer:
x = 52°Step-by-step explanation:
The 124° angle is exterior to the given triangle.
The exterior angle is the sum of non- adjacent interior angles:
x + 72 = 124x = 124 - 72x = 52°Sum.of two interiors=Exterior
x+72=124x=124-72x=52°make q the subject of the formula 5(q+p)/2 = 3 + 4p
Answer:
q = [tex]\frac{6+3p}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5(q+p)}{2}[/tex] = 3 + 4p ( multiply through by 2 to clear the fraction )
5(p + q) = 6 + 8p ← distribute parenthesis on left side )
5p + 5q = 6 + 8p ( subtract 5p from both sides )
5q = 6 + 3p ( divide both sides by 5 )
q = [tex]\frac{6+3p}{5}[/tex]
the width of a rectangle is 3 inches less than its length the perimeter of the rectangle is 26 inches what is the width of the rectangle
Answer:
5
Step-by-step explanation:
W = x
L = x + 3
P = 2W + 2L
26 = 2(x) + 2(x + 3)
26 = 2x + 2x + 6
26 = 4x + 6
26 - 6 = 4x
20 = 4x
x = 5
Pablo is thinking of a number. When he doubles it and then adds 13 the resulting answer is 5.Construct an equation and solve it to determine the number Pablo is thinking of.
Answer:
x×2+13=5
Step-by-step explanation:
We use x as the unknown number, and we just put what's in the word problem! The answer is in the question.
Equation Set-Up
x×2+13=5
Remember order of operations! (PEMDAS)
Then you solve the equation.
Because of PEMDAS, we know that multiplication is the first thing we have to do.
x×2=2x
So now, our equation looks like this.
2x+13=5
We subtract 13 from the +13 to cancel it out, but that means that we also have to subtract 13 from the 5 on the other side. We are now left with this.
2x=-8
Then, we divide -8 by 2, which gives us...
x=-4
Pablo's number is -4.
I hope I helped! Have a great day.
What a 3 digit number that is divisible by both 3 and 4
Find two consecutive even integers such that 4 times the smaller integer is 44 less than 7 times the larger integer
Answer:
let x be the smaller number.
let x + 2 be the larger number.
4 times the smaller number is 2 more than 3 times the larger number.
in equation form, this becomes:
4x = 3 * (x+2) + 2
simplify this to get:
4x = 3x + 6 + 2 which becomes:
4x = 3x + 8
subtract 3x from both sides of this equation to get:
x = 8
this means that x+2 = 10
the smaller number is 8 and the larger number is 10.
4 times the smaller number is equal to 32.
3 times the larger number + 2 is equal to 32.
requirements of the problem check out ok, so the solution is good.
the smaller number is 8.
the larger number is 10.
Step-by-step explanation:
please mark me as the
HELP ASAP PLEASE DUE TOMORROW!!! THANK YOU :)
Answer:
-155.15
-223.75
Step-by-step explanation:
Transaction 1 was a deposit of 360. The account had nothing in it before that deposit. After the 360 deposit the balance is 360.
Transaction 2 is -22.50. That means 22.50 was withdrawn (taken out) from the account. The balance after transaction 2 is 360 - 22.50 = 337.50.
Before transaction 3 takes place, the balance is 337.50.
After transaction 3 takes place, the balance is lower. It is now 182.35.
The amount of money taken out in transaction 3 is 337.50 - 182.35 = 155.15. Transaction 3 is -155.15.
The balance after transaction 3 is 182.35. The balance after transaction 4 is -41.40 which is lower than 182.35, so transaction 4 is again withdrawing money from the account.
The amount of transaction 4 is:
182.35 - (-41.40) = 223.75
Transaction 4 is: -223.75
Answer:
-155.15
-223.75
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer.
2x+65=4x−3
Answer:
x=7/6
Step-by-step explanation:
subtract the 4x from both sides of the equation
(2x+6)-4x=4x-3-4x
find common denominator
(2x+6)/5+(5(-4)x)/5=4x-3-4x
then combine fractions
(2x+6+5(-4)x)/5=4x-3-4x
then multiply the 5&4
(2x+6-20x)/5= 4x3-4x
combine terms
(-18x+6)/5= -3
then multiply everything by 5
-18x+6= -15
subtract the 6 from both sides
-18x= -21
divide -21 by -18
(-21)/(-18)=x
find greatest common multiple (3) and solve
x = 7/6
Find the values of a through e that make these two relations inverses of each other.
Answer:
what are we finding the values of there should be a picture or something
Step-by-step explanation:
Could someone please help to answer this, please no spam, will give brainliest, thank you (Homework help)!!!
Answer:
Step-by-step explanation:
Rearrange x = 3g + 2 to make g the subject.
Answer:
In order to make g as the subject, we have only g on the left side and rest of the terms are denoted on the right. So, we consider it as X=3g+2 and switch to other side's 3g+2=x. It has to divide both sides by 3 and literally consider for g=1/3x-2/3 and therefore answer is g=1/3X-2/3.
A real estate agent earns 6% of the selling price of each house he sells. If she sells a home for $250,000, how much of a commission will she make?
Answer:
$15,000 commission total revenue
Step-by-step explanation:
250000 x 0.06 = 15000
= $15,000
(Due in 20 minutes!)
Write an equation of the line in point-slope form that passes through the given points in the table. Then write the equation in slope-intercept form.
Answer:
[tex]y=\frac{1}{2} x-40[/tex]
Step-by-step explanation:
Slope interccept form: y=mx+b
(m= the slope, b= the y-intercept (the y value when x=0))
for every 2 x-values the y-value increases by 1. Slope is written as [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex] which is the change in the y-values divided by the change in x-values. You can find the slope by plugging in points.
[tex]\frac{(-42)-(-41)}{(-2)-(-4)} =\frac{1}{2\\}[/tex] so now you have [tex]y=\frac{1}{2}x+b[/tex]
b is whatever the value of y is when x=0. According to the table when x=0 then y=-40. The final equation is [tex]y=\frac{1}{2} x-40[/tex]
Tell whether the ordered pair is a solution of the equation. 1. 2x + y^2 = 10; (3,2) 2. 1/2x - 4y = 4; (10,1/2) 3. x^2 + y^2 = 2; (0,1) Help me
Answer:
it is
Step-by-step explanation:
Anyone know this question?
Just B please
Answer:
52% and 7
Step-by-step explanation:
There are 25 squares of which 13 are shaded , then
[tex]\frac{13}{25}[/tex] × 100% = 13 × 4% = 52°
(b)
1 square represents [tex]\frac{1}{25}[/tex] × 100% = 1 × 4% = 4%
Then 80% = 80% ÷ 4% = 20
That is for 80% , 20 squares require to be shaded
That is 7 more than the 13 already shaded
You roll a number cube find the probability. P(3 or 4)
Square root of 7921....
Answer:
89
Step-by-step explanation:
Line k passes through the point (6, -7) and has a slope m=-= 2 Which is the equation of a line that is parallel to line k and passes through the point (-4, 9)?
Answer:
k = -2x + 1
Step-by-step explanation:
Assuming slope is -2 (and not -=2)
9 = -4(-2) + b
9 = 8 + b
b = 1
PLEASE PLEASE PLEASE ANSWER QUICKLY AND EXPLAIN HOW YOU GOT THE ANSWER (No spam answers or ill report you and your account)
Maggie makes some fruit punch. She mixes 2 1/2 quarts of grape juice with 1 1/2 quarts of orange juice. One quart of grape juice costs $1 less than one quart of orange juice. She finds that the total of making the fruit punch is $12.50. Calculate the cost of each quart of grape juice and each quart of orange juice.
Mike went to the store to buy shirts. The shirts were $45 each. The store was offering the following discount:
Buy 1 shirt at regular
price and get any 2
shirts of the same
price for 40% off!
Mike decided to buy 3 shirts. Not including sales tax, how much money did Mike save by buying the shirts at the discounted price?
$36
$54
$81
$99
Answer:
Mike saved 54 dollars
Step-by-step explanation:
because 40% of $45 is $18. so that makes the other 2 shirts 27 dollars a piece. so he saves a lot of money.
rick used 3 1/8 cups of sugar to make cookies which fraction shows how many 1/8 cups of sugar used to make cookies
Answer:
to make cookies you need 1/8 cups of sugar and you have 2 3/4 cups of sugar how many batches could you make?
to make cookies you need 1/8 cups of sugar and you have 2 3/4 cups of sugar how many batches could you make?
Step-by-step explanation:
The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept
form that represents the diver's depth over time.
Answer:1/2 (1 over 2)
Step-by-step explanation:
Answer:
get it from some else pllease
Step-by-step explanation:
type this in
The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept form that represents the diver's depth over time.
are flies called flies because they fly- well if that's the case why aren't all other bugs that fly called fly's to that's not fair what if they want to be called by an amazing talent that they have to, smh- dragonfly's and flies get special treatment in the name game and it ait fair
( i was dared to post sum du.mb so yeah um )
Answer:
Fly is any of a large number of insects characterized by the use of only one pair of wings for flight and the reduction of the second pair of wings used for balance. The term fly is commonly used for almost any small flying insect
Step-by-step explanation
i just searched it up
Which of the expressions bests fits this situation?
Answer:The answer is option B
Step-by-step explanation:
To get the balance, the amount given to each employee should be multiplied by the total employees then the total surplus should be subtracted from the suplus distributed among the employees to get the remaining surplus
is 0.001 a rational or irrational number
Answer:
rational number
Step-by-step explanation:
A rational number cannot be divisible by multiple factors. (hint. every number is divisible by itself and 1)
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, and if 5 basketball game tickets and 3 football game tickets were purchased for $55.75, what are the costs of basketball game tickets and football game tickets?
Answer:
basketball game tickets: $7.25;
football game tickets: $6.50
Step-by-step explanation:
Let B represent the cost of a basketball ticket and F represent the cost of a football ticket.
Amount for basketball ticket plus amount for football tickets equal the total cost.
4B + 5F = 61.50
5B + 3F = 55.75
Choose one equation in the system to solve for a variable.
Solve the first equation for F.
4B + 5F = 61.50
5F = −4B + 61.50 Subtract 4B from both sides.
F = −0.8B + 12.30 Divide both sides by 5.
Substitute the expression −0.8B + 12.30 for F in the other equation.
5B + 3F = 55.75
5B + 3(−0.8B + 12.30) = 55.75 Substitute.
5B − 2.4B + 36.90 = 55.75 Distribute.
2.6B + 36.90 = 55.75 Combine like terms.
2.6B = 18.85 Subtract 36.90 from both sides.
B = 7.25 Divide both sides by 2.6.
Substitute the B-value into one of the original equations to solve for F.
4B + 5F = 61.50
4(7.25) + 5F = 61.50 Substitute.
29 + 5F = 61.50 Multiply.
5F = 32.50 Subtract 29 from both sides.
F = 6.50 Divide both sides by 5.
The cost of a basketball ticket is $7.25, and the cost of a football ticket is $6.50.
The cost of basketball game tickets is $7.15 and football game ticket is $6.5
Let the cost of a basketball game ticket be x
Let the cost of football game ticket be y
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, hence;
4x + 5y = 61.50 ..................1
If 5 basketball game tickets and 3 football game tickets were purchased for $55.75, hence;
5x + 3y = 55.75 ...........................2
Solving 1 and 2 simultaneously
4x + 5y = 61.50 ..................1 * 3
5x + 3y = 55.75 ...........................2 * 5
_________________________________
12x + 15y = 184.5
25x + 15y = 278.75
Subtract
12x - 25x = 184.5 - 278.75
-13x = -94.25
x = 7.25
Substitute x = 7.25 into equation 1:
From 1:
4x + 5y = 61.50
4(7.25) + 5y = 61.50
29 + 5y = 61.50
5y = 61.50 -29
5y = 32.5
y = 32,5/5
y = 6.5
Hence the cost of basketball game tickets is $7.15 and football game ticket is $6.5
Learn more here:
https://brainly.com/question/15165519
Evaluate the expression when x = 6 and y = 2:
Answer:
[tex] \frac{3x + 4}{y} = \frac{3(6) + 4}{(2)} \\ = \frac{18 + 4}{2} = \frac{22}{2} \\ = 11[/tex]
12x-2=12x solve for x or is it no solution
12x - 2 = 12x
Step 1:
12x - 12x = 0
Step 2:
Bring down your -2 and your x
Answer:
x = -2
( −2 x^3) ^ 3 simplify
Answer:
[tex]-8x^9[/tex]
Step-by-step explanation:
We can split up the exponent into multiple products: [tex](-2x^3)^3=(-2)^3*(x^3)^3[/tex].
We know that [tex](-2)^3=(-2)*(-2)*(-2)=-1*-1*-1*2*2*2=-1*8=-8[/tex].
We also know that [tex](x^3)^3=x^{3*3}=x^9[/tex].
So, our answer is [tex]\boxed{-8x^9}[/tex] and we're done!