Answer:
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{2}{3}x - 4[/tex]
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]
[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]
[tex]3y = 2x - 12[/tex] ---- Equation 1
Subtract 3y from both sides
[tex]-3y + 3y = 2x - 12 - 3y[/tex]
[tex]0 = 2x - 12 - 3y[/tex]
Add 12 to both sides
[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]
[tex]12 = 2x - 3y[/tex]
Rearrange:
[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex] ---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]
Answer:
Answer:
Step-by-step explanation:
Given
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
---- Equation 1
Subtract 3y from both sides
Add 12 to both sides
Rearrange:
---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to
Step-by-step explanation:
If the radius of a cone is 3 cm and a height of the Cone is 8 cm what is the surface area
Answer:
24
Step-by-step explanation:
if the radius is 3 cm and the height is 8 cm we would multiply3 x 8 = 24so the answer is 24Jordan invested $8,500 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,070?
Answer:
52 days
Step-by-step explanation:
if compounding daily we can see what 1 year accumulates using the function
360 / interest rate = 360/4.1 = 87.8048780488 = 87.80 per day
We can use inverse of the balance profit to use the exact amount difference to then divide into the date of withdrawal
$13070- 8500 = 4570
4570/ 87.8048780488 = 52.04 = 52 days.
Choose the product. -6 p3 (3 p2 + 5 p - 1)
Answer:
-18p^5 - 30p^4 + 6p^3
Factor 16 x2 + 24 x + 9.
(16 x + 3)( x + 3)
(4 x + 3)(4 x - 3)
(4 x + 3) 2
Answer:
Step-by-step explanation:
(4x + 3)(4x+3) is the factor
the third one is the solution
If the bill is $47.96 and you leave a 15% tip, what is the tip amount?
Answer:
7.19 is the tip
Step-by-step explanation:
Take the amount of the bill and multiply by the tip percentage
47.96 * 15%
Change to decimal form
47.96 * .15
7.194
Round to 2 decimal places
7.19
Answer: $7.19
Step-by-step explanation:
15/100 = 0.15
We only want the tip, not the total cost:
Do 0.15 * $47.96 to get about $7.19
HELP ME PLEASEEEEEEEEE
Answer:
x=24
Step-by-step explanation:
Hope this helps
Answer:
24°
Step-by-step explanation:
Take 2 lol
Once again, AOC is a straight angle, meaning it's 180°.
All you have to do is 180° - 156° and you'll get 24°, your answer.
11. An airline charges $20 to check a piece of luggage up to 23 kilograms. For excess weight, it charges $5 more per kilogram. The airline rounds up to the next whole kilogram (a piece of luggage weighing 24.1 kg would be charged as 25 kg). The airline doesn't accept luggage over 32 kg. Which of the graphs below represents this information as a function?
Answer:
i believe it is b
Step-by-step explanation:
Please help me solve this puzzle.
Step-by-step explanation:
marmiad=10
trident=6
pearls =4
10+6×4
=16×4
=64
hey!!
Answer:34
Step by step explanation:
4+4+4=12
4+4+10=18
6+10+10=26
10+6*4=34
hope it helps..
A 39 foot ladder is resting against a wall that is 36 feet high. What is
the distance between the base of the ladder and the bottom of the wall?
5 feet
10 feet
15 feet
Answer:
11
Step-by-step explanation:
Scott found the area of the shape to
be 30 square units. If he used a unit
square with longer sides, would his
area measurement be greater than
30 square units or less than 30 square
units? Explain.
Answer:
So if we do this to the area of Scott's shape, the result will be less than 30 squares units.
Step-by-step explanation:
If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.
Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer: i hope this is correct take care
Step-by-step explanation:
Please help
will give brainliest (if I can)
If the intercepts of a line are (a, 0) and (0, b), what is the slope of the line?
Answer:
a−b=aa=1
Step-by-step explanation:
Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.
The table below represents a proportional relationship. The unit rate of the relationship is
Answer:
the unit rate is 3
what is the measure of DAB
It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....
That means 65+61 = 126...
Angle DAB =126
Solve |x+2|=10
A {-8,8}
B {-12,8}
C {-12,12}
Can someone please help me answer this question?
Answer:
132.5 inches
Step-by-step explanation:
The area of a triangle is 1/2 base height. the area of a rectangle is base height. Applying those principles gives us two equations: 8.5 x 10 / 2, and 9 x 10
then we have 42.5 and 90. in order to find the entire figure, they must be added so 42.5 plus 90 is 132.5. make sure to add the unit!
Answer:
Step-by-step explanation:
Triangle area
A=h_b*b/2
=8.5*10/2
=42.5in^2
Rectangle area
A=lw
=9*10
=90
Add all together
42.5+90
=132.5in^2
1. Trevor's fitness trainer recommends that Trevor drink 8 fluid ounces
of water 8 times a day. Trevor has a water bottle that holds 1 1/4 pints
of water when filled. Today, he has filled the water bottle three times
and drank all of the water each time. Trevor claims that he drank the
total amount of water recommended by his fitness trainer. Explain
why Trevor's claim is not true. (Remember 8 ounces = 1 cup; 2 cups
1 pint)
=
Answer: Trevor drinks 3 3/4 pints against his coach's 4 pints
Step-by-step explanation:
8 ounces per day x 8 times = 64 ounces = 8 cups = 4 pints
Water bottle holds 1 1/4 pints x 3 = 3 3/4 pints.
Which of the following functions is graphed below? Please help ASAP
Answer:
its not very clear can you take a picture again?
Step-by-step explanation:
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3 divided by 2
Answer:
[tex]4\frac{1}{20}[/tex]
Step-by-step explanation:
[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]
[tex]\frac{27}{4} \div \frac{5}{3}[/tex]
[tex]\frac{27}{4} \times \frac{3}{5}[/tex]
[tex]\frac{27 \times 3}{4 \times 5}[/tex]
[tex]=\frac{81}{20}[/tex]
[tex]=4\frac{1}{20}[/tex]
Answer:
7 divided by 2
Step-by-step explanation:
Find the slope of the line that passes through the given points.
(9,1) and (9,5)
The answer is 4/0 or indefinite.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
In a school there are 300 students 90 of them are male students. Find out the percentage of female students.
Answer:
70%
Step-by-step explanation:
Total students = 300
Male students = 90
Female students = 300 - 90 = 210
Percentage of female students
[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]
Answer:
70%
Key Points:
Total Students: 300Male Students: 90Unknowns:
Male Student PercentageFemale Student CountFemale Student PercentageWe are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.
300 overall students - 90 male students = ____ female students
Simplify.
Given our above equation, we now know that there are 210 female students at the school.
In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.
[tex]\frac{210}{300} = ?[/tex]
Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7
Now, you need to multiply it by 100 so that you can create a percentage.
0.7 × 100 = 70%
Therefore, 70% of the students are female.
Checking our work:
A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.
If 70% is the correct percentage for female students, the male and female percentages should add up to 100%
Finding the male percentage:
Similar to how we found the percentage of females at the school, we must divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.
[tex]\frac{90}{300} = ?[/tex]
Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3
Next, multiply your answer by 100 to get our percentage.
0.3 × 100 = 30%
Knowns:
Female Percentage: 70%Male Percentage: 30%Add the female percentage with the male percentage: 70% + 30% = 100%
As predicted, our answer was 100%. Therefore, 70% of the students are female.
Learn more about solving for percentages by reviewing these answers!
⊕ https://brainly.com/question/26352729
⊕ https://brainly.com/question/25827141
⊕ https://brainly.com/question/28144590
Duane recorded the temperature outside his window one morning. On the second day,
the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees.
On the fourth day, the temperature went down 6 degrees, and it was 1°F.
What was the temperature on the first day?
A. 0°F
B. 17°F
C. 10°F
D. 7°F
Answer:
C
Step-by-step explanation:
[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]
so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]
Identify a transformation of the function f(x) = sqrt(x) by observing the equation of the function g(x) = sqrt(x) + 1
Answer:
up 1
Step-by-step explanation:
The plus one is on the outside so it is up the number which is one
- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.
Answer:
x = 10
Step-by-step explanation:
Since B is the midpoint of segment AC, then AB = BC.
AB = BC
3x - 8 = x + 12
2x - 8 = 12
2x = 20
x = 10
As per the given information, the value of x is 10. For understanding, check the calculations provided below.
MidpointA midpoint is a point that divides a line into two parts equally.
In the given diagram,
B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.
When a midpoint B divides equally then AB = BC
Given that,
AB = 3x-8 and BC = x+12
B is the midpoint of line segment AC.
So,
AB = BC
Substitute the expression and solve for x
AB = BC
3x-8=x+12
Subtract x,
⇒ 3x-x-8 = x-x+12
⇒ 2x-8=12
Add 8
⇒ 2x = 12+8
⇒ 2x = 20
divide by 2
∵ x = 10
Thus, the value of x is 10.
Learn more information about 'Midpoint' here:
brainly.com/question/4747771
is it possible to make a quadrilateral with any four dots as corners?
Answer:
Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.
Step-by-step explanation:
Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!
So any other 4 sided shape that is quadrilateral could be made.
The picture below shows all branches of quadrilaterals.
Answer:
No
Step-by-step explanation:
No.
For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.
Answer: No
Find last year's salary if, after a 4 % pay raise, this year's salary is $ 33,280.
Answer:
32000
Step-by-step explanation:
1.04x=33280
32000
What is the value of the rational expression below when xis equal to 3?
17 + x/x+2
A. 4
B. 3.4
C. 10
O D. 8.5
Answer: A
Step-by-step explanation:
QUESTION 3 (3 points)
Convert the following quadratic into standard form. Show all work.
f(x) = 3(x - 5)² - 40
Answer:
3x^2- 30x+35=f(x)
Step-by-step explanation:
3(x^2+25-10x)-40
3x^2+75-30x-40
3x^2- 30x+35=f(x)
find the nearest two positive coterminal angles and the nearest two negative coterminal angles for 420°
Answer:
Positive Coterminal Angles = 60°,780°
Negative Coterminal Angles = -300°, -660°
Step-by-step explanation:
Positive Coterminal Angles:
To find nearest two coterminal angle of 420°:
1) Subtract 360° from 420°:
420°- 360° = 60° (First Positive Coterminal Angle)
2)Add 360° to 420°:
420°+ 360° =780° (Second Positive Coterminal Angle)
Negative Coterminal angles:
To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.
1) Substract 360° from 420°
420°- 360° = 60°
Which is still a positive value.
2) Again Substract 360° from 60°
60°- 360° = -300° (First Negative Coterminal Angle)
3)Subtract 360° from -300°
-300°- 360° = -660° (Second Negative Coterminal Angle)
Which of the following is the graph of y= -x-3?
Answer:
Step-by-step explanation:
