Answer:
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]
Step-by-step explanation:
Given
[tex]-2(3x - 4) = -16[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Required
Equations with [tex]x = 4[/tex] as a solution
[tex]-2(3x - 4) = -16[/tex]
Divide both sides by -2
[tex]3x - 4 = 8[/tex]
Add 4 to both sides
[tex]3x - 4 +4= 8+4[/tex]
[tex]3x =12[/tex]
Divide both sides by 3
[tex]x = 4[/tex]
[tex]\frac{1}{2}(10x + 2) = 6[/tex]
Multiply both sides by 2
[tex]10x + 2 = 12[/tex]
Subtract 2 from both sides
[tex]10x + 2 -2= 12-2[/tex]
[tex]10x = 10[/tex]
Divide both sides by 1
[tex]x = 1[/tex]
[tex]20- 15x = 6 - 2(4x + 7)[/tex]
Open bracket
[tex]20 - 15x = 6 - 8x - 14[/tex]
Collect like terms
[tex]8x - 15x = 6 - 14 - 20[/tex]
[tex]-7x = -28[/tex]
Divide both sides by -7
[tex]x = 4[/tex]
[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]
Subtract 6 from both sides
[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]
[tex]\frac{1}{3}(9x - 12) =-16[/tex]
Multiply both sides by 3
[tex]9x - 12 = -48[/tex]
Add 12 to both sides
[tex]9x - 12 +12= -48+12[/tex]
[tex]9x = -36[/tex]
Divide both sides by 4
[tex]x =-4[/tex]
[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution
Answer: 1st and 3rd
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer:
The answer is B Hope this helps
Step-by-step explanation:
Mondays, Tuesdays, and Friday I will be given a warm-up and you are free to answer it with 5 sentences.
Does this graph represent a function?
-2.5d ≥ 30
10-x ≤35
Please help thanks!
Answer:
1) d ≤ -12
2) x ≥ -25
Step-by-step explanation:
-2.5d ≥ 30
2.5d ≤ -30
d ≤ -12
10 - x ≤ 35
-x ≤ 25
x ≥ -25
HELP ME WITH THIS PLEASE. THANKS. BTW, DOES ANYONE KNOW HOW TO TURN CAPS OFF ON CHROMEBOOK.
THANKS
Answer:
press search + alt to turn it off i think
Step-by-step explanation:
what is the slope and y-intercept of y= -8x - 9
(easy question, easy points)
Answer:
slope = -8
y-intercept = -9
Step-by-step explanation:
Answer: slope -8, y-intercept- (0,-9)
Step-by-step explanation:
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax for 5% and would want to leave a 20% tip on the original $40. including tax and tip, How much did Chloe meal cost?
Answer:
$50
Step-by-step explanation:
Given data
Cost of sushi= $40
Tax= 5%
Tip= 20%
Let us find the amount of the tax and the tip
Tax
=5/100*40
=0.05*40
=$2
Tip
=20/100*40
=0.2*40
=$8
Hence the total amount paid is
=40+2+8
=$50
Answer:
$50
Step-by-step explanation:
To avoid confusion, we can solve for the sales tax and the tip separately.
Tip
Original Bill x 20%Original Bill x 1/5$40 x 1/5$8Tax
Original Bill x 5%Original Bill x 1/20$40 x 1/20$2Total
Original Bill + Tip + Tax$40 + $8 + $2$50Please help! Write at least 2 sentences!
What do you know about 2 points that have opposite x-coordinates?
Answer:
They will mirror each other, but only if they have the same y value. Otherwise they will simply be on opposite sides of the Y line.
Hope this helps :)
Identify the figure below select two names that apply
Answer:
quadrilateral and parallelogram
Step-by-step explanation:
since it has 4 sides and 4 angles it is quadrilateral and since there are two sets of parallel lines connected and each pair has different lengths, it should be parallelogram
IF who answer fast, correct and first, I WILL GIVE YOU THEBRAINLIEST!!!!!!!!!!!!!
Answer:A
Step-by-step explanation:
6 divided by 3/4 ..............................................
Answer:
8
Step-by-step explanation:
6/1÷3/4
6/1×4/3
24/3
8
Leo has a total of 72 letters. He has opened 63 of them so far. How many letters does Leo have left to open?
Answer:
9
Step-by-step explanation:
72 - 63 = 9
Since it's asking how many letters he has left after opening 72 so your basically subtracting. Hope this helps
Answer:
9
Step-by-step explanation:
9 BECAUSE IF U ADD 9INE TO 63 YOU GET 72
I need help i will give brailsit no scammer i will report and i only have 5 min
1st: (20,110)
2nd: (95,10)
Hope this helps!
Please help 30 points
Layla is going to invest $5,200 and leave it in an account for 15 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Layla to end up with $13,800?
Answer:
6.5%
Step-by-step explanation:
I just know
Neeedd helps no links plzzz this is math plzzz help 20 points
Answer:
y=-2x-8.5
Step-by-step explanation:
Can someone please help me with math.
If $500 is invested at 8% annual interest, how much will be in the account after 3 years if it's compounded quarterly?
Answer:
FV= $634.12
Step-by-step explanation:
Giving the following formula:
Initial investment (PV)= $500
Number of periods (n)= 3*4= 12 quarters
Interest rate (i)= 0.08/4= 0.02
To calculate the future value, we need to use the following formula:
FV= PV* (1 + i)^n
FV= 500*(1.02^12)
FV= $634.12
What is the volume of a ball if its diameter is 6 inches? Leave your answer in terms of π.
A) V = 12 π cubic inches
B) V = 36 π cubic inches
C) V = 288 π cubic inches
D) V = 27.75 π cubic inches
Answer:
B
Step-by-step explanation:
I am assuming that this ball is a perfect sphere.
The volume of a sphere is [tex]\frac{4}{3} *\pi *r^3[/tex]
We have the diameter, and in order to find the radius, we just have to divide by 2. 6/2=3. Now, we have to plug in the 3 to the equation.
[tex]\frac{4}{3} *\pi *3^3[/tex]
3 cubed is 27, so now we have [tex]\frac{4}{3} *\pi *27[/tex]
27*4/3*pi=36pi
Someone help plz make sure it’s right and plz put an actual answer
Answer:
Option 3
Step-by-step explanation:
By applying Pythagoras theorem in the given triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
x² = (9.5)² + (10.5)²
x² = 200.5
x = √(200.5)
x = 14.16
x ≈ 14.2
Therefore, measure of the unknown side is 14.2 in.
Option (3) will be the correct option.
Persephone and Madison are sharing a coloring book with 48 pages in it. Persephone can color one page in 8 minutes. Madison can color one page in 6 minutes. They color every page in the book.
Answer:
[tex]Persephone = 27\frac{3}{7}[/tex]
[tex]Madison = 20\frac{4}{7}[/tex]
Step-by-step explanation:
Given
[tex]Pages = 48[/tex]
[tex]P=8\ mins[/tex] --- Persephone
[tex]M = 6\ mins[/tex] --- Madison
The question is incomplete, however a possible question could be:
To determine the number of pages colored by each of them
First, we determine the ratio of time spent by each:
[tex]P : M = 8 : 6[/tex]
The number of pages covered by Persephone is:
[tex]Persephone = \frac{P}{P + M} * Pages[/tex]
[tex]Persephone = \frac{8}{8+6} * 48[/tex]
[tex]Persephone = \frac{8}{14} * 48[/tex]
[tex]Persephone = \frac{384}{14}[/tex]
Simplify
[tex]Persephone = 27\frac{3}{7}[/tex]
This implies that Madison colors the remaining pages.
This is calculated as:
[tex]Madison = Pages - Persephone[/tex]
[tex]Madison = 48 - \frac{384}{14}[/tex]
Take LCM
[tex]Madison = \frac{48 * 14 - 384}{14}[/tex]
[tex]Madison = \frac{288}{14}[/tex]
Simplify
[tex]Madison = 20\frac{4}{7}[/tex]
The product of 4x and 0 is:
Answer:
zero
Step-by-step explanation:
The product of any number and zero is always zero.
Vertical angles are
90 degrees
Adjacent
Congruent
Straight
Answer:
Vertical angles are across from each other on any two intersecting lines and are always congruen
The sum of three consecutive odd integers is 189. What
are the integers?
Answer:
61, 63, 65
Step-by-step explanation:
n + n+2 + n+4 = 189
3n = 183
n = 61
Answer:
The three consecutive odd integers are 61, 63, and 65
Step-by-step explanation:
Let the three consecutive odd integers be:
n + 1, n + 3 and n + 5
Therefore:
n + 1 + n + 3 + n + 5 = 189
3n + 9 = 189
3n = 180
n = 60
n + 1 = 61
n + 3 = 63
n + 5 = 65
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Answer
Step-by-step explanation:
The answer is d because if you at 17 to 197 you'll get 203
which table contains only values that satisfy the equation y = -x +7?
Answer:
the question you typed is wrong but that on the picture is correct and the correct table which satisfied the equation y =1/4x + 7 is table C
30 months =
years
months
Answer:
2.5 years/2 years 6 months
Step-by-step explanation:
Half year = 6 months
One year = 12 months
Two years = 24 months
30-24=6 months
2 Years + 6 months = 2.5 years/30 months/2 years 6 months
The Albertsons are purchasing a home for $400,000. They are financing 70 percent of the home’s value. In addition to the down payment, they have the following closing costs:
Lender’s inspection fee $400
Loan origination fee 1.5% of the loan amount
Notary public fee $60
Document recording fees $75
Title search $300
What is the total amount of the closing costs?
Answer:
$5,035
Step-by-step explanation:
First, you have $400 as the first cost in the closing costs.
You Then find 1.5% of the loan amount, which is 70% of $400,000 ($280,000), so 1.5% of $280,000 is $4,200. So you add $4,200 to the $400
Next, you add the notary fee of $60.
Then you add the recording fees of $75.
Lastly, you add the title search of $300.
Now add everything up, $400 + $4,200 + $60 + $75 + $300 = $5,035
Final answer = $5,035
The area sector of a circle with radius 7 is 9 π/. What is the radian measure θ, the central angle of the sector? Express your answer in exact form.
Answer:
Radian angle = 1.154
Central angle = 66.123°
Step-by-step explanation:
Area of Sector, A
A = 1/2 * r² * θ ; θ measured in radian
A = 9 π
r = 7
9 π = 1/2 * 7² * θ
9 π = 24.5θ
θ = 9 π / 24.5
θ = 1.154 radian
1 radian = 57.296°
1.154 radian = (57.296 * 1.154)
1.154 radian = 66.123°
Enter the correct value so that each expression is a perfect-square trinomial.
x2+___x + 36
Answer:
It's 100% 12
Step-by-step explanation:
Please help me I need help NO LINKS
LINKS =REPORT
PLEASE
PLEASE
PLEASE
Has nothing to do with the top one I just can’t edit
THANK YOU FOR THE PEOPLE WHO HELP
Answer:
I'd say A is the correct answer. There's a chance I'm wrong but I don't think so
Answer:
B.
b + t = 15
2b + 3t = 45
Hope it helps!