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:
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
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!
IF who answer fast, correct and first, I WILL GIVE YOU THEBRAINLIEST!!!!!!!!!!!!!
Answer:A
Step-by-step explanation:
-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
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:
6 divided by 3/4 ..............................................
Answer:
8
Step-by-step explanation:
6/1÷3/4
6/1×4/3
24/3
8
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
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
Please help 30 points
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.
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
The product of 4x and 0 is:
Answer:
zero
Step-by-step explanation:
The product of any number and zero is always zero.
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
Neeedd helps no links plzzz this is math plzzz help 20 points
Answer:
y=-2x-8.5
Step-by-step explanation:
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.
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°
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
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
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 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
Does this graph represent a function?
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!
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
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:
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
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:
Can someone please help me with math.
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