Answer:
15 (x+y)
Step-by-step explanation:
Multiply 6 with inside the parenthesis 6(2x+3y) ➡ 12x + 18y
Multiply 3 with inside the parenthesis 3(x-y) ➡ 3x - 3y
Now add them up
12x + 18y + 3x - 3y = 15x + 15y ➡ 15(x + y)
Answer:
6(2x+3y) + 3(x-y)
12x + 18y + 3x - 3y
15x + 15y
15(x + y)
Step-by-step explanation:
The rectangle has a length of (x+3) and the width (x+1)
Which of the following represents the area of the rectangle?
A.4x+8
B.2x+4
C.x to the second power+4x+3
D.2x to the second power +4x+3
Prachi, the office manager at a private practice, identified several quantitative relationships surrounding a patient's visit and wait time and modeled them with the following functions:
Answer: W(P(t))
Step-by-step explanation: look at the letter infront of the ()
The waiting time for a patient is given by the expression w(p(t)).
What is a quantitative relationships?The relationship between objects (or objects' components) in terms of their relative number, size, or degree. ratio. two quantities' respective magnitudes (usually expressed as a quotient).A statement function is referred to by utilizing its name as an operand in an expression together with any parameters it has. Voici how execution is carried out: Actual arguments are assessed if they are expressions. There are comparable fake arguments and real arguments.A resume's summary statement can assist in guiding the reader from your present training and experience to the kind of job you are looking for. Your summary statement should be three to five lines long and should highlight your qualifications for the position you're applying for as well as the industry.To learn more about quantitative relationships refer to:
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write an expression that shows the cost of brochures each brochure cost 40 cents i need 4100 brochures and have a total budget of 1900 dollars
Answer:
1900 ≥50 + .40 * b
1900 ≥50 + .40 *4100
Step-by-step explanation:
Cost = rush fee + cost per brochure * number of brochures
cost= 50 + .40 * b where b is the number of brochures
This must be less than or equal to 1900 dollars
1900 ≥50 + .40 * b
We are getting 4100 brochures
1900 ≥50 + .40 *4100
1900≥50 + 1640
1900 ≥1690
We can get the brochures
Create a trinomial where the GCF of the trinomial is 5m^3
Answer:
5m^5 + 15m⁴ + 35m³
Step-by-step explanation:
GCF means greatest common factor.
The Greatest common factor of two monomials for example, is the product of the common prime factors of both monomials.
We are to develop a trinomial which would have 5m³ as its greatest common factor.
To Create a trinomial where the GCF of the trinomial is 5m³, we would find a trinomial that can't be factored and multiply it by 5m³.
A trinomial is a polynomial which has three terms (monomials) connected by addition or subtraction.
Let's consider the trinomial m² + 3m + 7
This trinomial cannot be factored because there are no common factors between them. The constants to be considered are 3 and 7.
3 is a prime number and therefore can only be factored to 1 and 3.
7 is a prime number and therefore can only be factored to 1 and 7.
Since there are no common factors other than 1, the constants cannot be factored.
By multiplying 5m³ with the trinomial m² + 3m + 7
We would have:
5m³ (m² + 3m + 7) = 5m^5 + 15m⁴ + 35m³
From the above, the trinomial where the GCF of the trinomial is 5m³ = 5m^5 + 15m⁴ + 35m³
A linear function has a slope of -g and a y-intercept
13. How does this function compare to the linear function that is represented
by the equation Y + 11 =-
(x-18)?
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept.
Save and Exit
Next
Submit
Mark this and retum
Answer:
It has the same slope and a different y-intercept
Step-by-step explanation:
Y + 11 = -(x-18)
Y + 11 = -x + 18
Y = -x +7
thus it has a slope of -g too but y-intercept was 7 instead of 13
[tex]\sqrt{512k^{2} }[/tex] help please!!
[tex]\sqrt{448x^{3} }[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{256*2*k*k} = 16k\sqrt{2} \\\sqrt{448x^{3} } = \sqrt{64*7*x*x^{2}}=8x \sqrt{7x}[/tex]
PLEASE HELP WITH MATH
Answer:
Volume: 105 cubic centimeters
Mass of doorstop: 924 grams
Step-by-step explanation:
First, you need to find the area of the triangular base of the prism. The area of the triangle is bh/2=10*6/2=30 square centimeters. Multiplying this by the height of the doorstop of 3.5, you get a total volume of 105 cubic centimeters. Since each cubic centimeter weighs 8.8 grams, the whole thing weighs 105*8.8=924 grams. Hope this helps!
Answer:
volume 105 cm³
mass 924 g
Step-by-step explanation:
This is triangular prism so (Volume) V = (Area of base) B * (Height) H
In this case is triangle is the base shape with base b =10cm and height h= 6cm so
B =1/2 bh = 1/2 *10*6 =30 cm²
(Height) H = 3.5 cm
so V = 30*3.5 = 105 cm³
1 cm³ has a mass ≈ 8.8g
so the mass of the doorstop is volume * mass per cm³
105 * 8.8 = 924 g
Select all the points that are on the graph of the line below. Y=5-1/2x A: (0,5) B (0,10) C(1,2) D(1,4) E(5,0) F(10,0). Please help.
Answer:
A: (0,5)
F(10,0)
Step-by-step explanation:
Y=5-1/2x
Substitute the point into the equation and see if it is true
A: (0,5)
5 = 5 - 1/2(0)
5=5 true on the line
B (0,10)
10 = 5 - 1/2(0)
10=5 false not on the line
C(1,2)
2 = 5 - 1/2(1)
2=4 1/2 false not on the line
D(1,4)
4 = 5 - 1/2(1)
4=4 1/2 false not on the line
E(5,0)
0 = 5 - 1/2(5)
0=2 1/2 false not on the line
F(10,0)
0 = 5 - 1/2(10)
0=5-5 true on the line
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject. A 4-column table with 3 rows. The first column has no label with entries likes algebra, does not like algebra, total. The second column is labeled likes geometry with entries a, c, 53. The third column is labeled does not like geometry with entries b, 6, e. The fourth column is labeled total with entries 45, d, 75. What are the correct values of a, b, c, d, and e? a = 16, b = 29, c = 22, d = 30, e = 24 a = 29, b = 16, c = 30, d = 22, e = 24 a = 16, b = 29, c = 24, d = 22, e = 30 a = 29, b = 16, c = 24, d = 30, e = 22
Answer:
Step-by-step explanation:
Let x be the number of students that like both algebra and geometry. Then:
1. 45-x is the number of students that like only algebra;
2. 53-x is the number of students that like only geometry.
You know that 6 students do not like any subject at all and there are 75 students in total.
If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75.
Therefore,
[tex]x+45-x+53-x+6=75.[/tex]
Solve this equation:
[tex]104-x=75,\\\\x=104-75,\\\\x=29.[/tex]
You get that:
29 students like both subjects;
45-29=16 students like only algebra;
53-29=24 students like only geometry;
24+6=30 students do not like algebra;
16+6=22 students do not like geometry.
a = 29, b = 16, c = 24, d = 30, e = 22
The correct choice is D.Answer:
The answer is D.
Step-by-step explanation:
Someone please help me
Answer: y=8x+6
Step-by-step explanation:
The equation for a line is y=mx+b, where m is your slope and b is the y intercept of the line. Hope this helps!
PLEASE HELP me solve algebraically. J) 4(1-2j) = 7(2j + 10) K) 4/3h=12 L) n/5= 2 + n/3 M) d/4 - 2/3 = 2 N= 7= -2 (-3 - x)
Answer:
J ) j = - 3,
K ) h = 9,
M ) d = - 24,
N ) x = 1 / 2
Step-by-step explanation:
J )
[tex]4(1-2j) = 7(2j + 10),\\4-8j=14j+70,\\-8j=14j+66,\\\\-22j=66,\\j = - 3,\\\\Solution, j = - 3[/tex]
I applied the distributive property, resulting in the second step. Afterwards I subtracted 4 from either side of the equation, received - 22j = 66 after combining like terms, and divided - 22 on either side to get j = -3.
K )
[tex]4 / 3h = 12,\\4h = 36,\\h = 36 / 4 = 9\\\\Solution, h = 9[/tex]
Multiplying each end of the equation by 3 resulted in the simplified expression 4h = 36. Dividing either side by 4, I got h = 9.
M )
[tex]d / 4 - d / 3 = 2,\\3d - 4d = 24,\\- d = 24,\\\\Solution, d = - 24[/tex]
Taking the LCM of 4 and 3, I got 12, multiplying either side by 12 / 12. Combining like terms and dividing - 1 on either side of the equation - d = 24, I received d = - 24.
N )
[tex]7 = - 2 * ( - 3 - x ),\\- 3 - x = - 7 / 2,\\- x = - 1 / 2,\\\\Solution, x = 1 / 2[/tex]
After dividing the first equation by - 2 on each end, I received a simplified equation that, by adding 3 on it's part, got x to be = 1 / 2
The graphs below have the same shape. What is the equation of the red
graph?
Answer:
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
Realize that the red graph is simply the blue graph shifted downwards. Hence, we simply need to subtract the units shifted from the original equation.
We see that the red graph shifted downwards by 3 units. Thus, we simply need to subtract three from the original equation.
Thus we have:
[tex](4-x^2)-3[/tex]
Which gives:
[tex]1-x^2[/tex]
Here, 1 is also the y-intercept, verifying our answer.
Which of the following points are on the line given by the equation y=1/2x
Answer:
B, C, and F
Step-by-step explanation:
y = 1/2x
y = 1/2(4)
y = 2
y = 1/2x
y = 1/2(-2)
y = -1
y = 1/2x
y = 1/2(2)
y = 1
Find the volume of this prism.
pls ;(
Answer:
Go to google and write how to find a volume of a prism
Step-by-step explanation:
By the way what i am going to say is a small tip you can use
Go to google write ( quizlet) and you can write the name of your book the volume and the chapter rand the lesson believe me you will find what you want
If you didn't find the answers you can talk with me so i can give other programs because i have want to help you
aisha and brendan are watching a hot air balloon. the angle of elevation for aisha is 65 degrees. what is the angle of elevation for brendan?
Using the law of sins:
B =sin^−1((sin(A)⋅a)/b) = sin^−1((sin(65)⋅110)/155)=40.03 degrees
B= 40.03 degrees (round as needed)
Find the polynomial f(x) of degree 3 has the following zeros
9, 0, -7
Answer:
x³ - 2x² - 63x
Step-by-step explanation:
Zeroes = 9 , 0 , -7
Factors = (x - 9) x (x + 7)
Polynomial = x (x - 9)(x + 7)
Polynomial = x (x² -2x - 63)
= x³ - 2x² - 63x
increase as a percent:
The price of a car increased from $32 000 to $36 000.
Answer:
12.5% increase
Step-by-step explanation:
Take the new price minus the original
36000-32000 = 4000
Divide by the original
4000/32000 = .125
Multiply by 100%
.125*100%
12.5% increase
Answer:
12.5%
Step-by-step explanation:
There is an 1/8 increase and 1/8 as a percent is 12/5%
You buy a touch iPod for $200, but it loses value at a rate of 10% each year. How much is your phone worth after 3 years?
Answer:
145.8
Step-by-step explanation:
200 times .9 times .9 times .9
Because it is 3 years
Answer:
$266.20
Step-by-step explanation:
o=200
r=.1
t=3
w=200(1+.1)^3
w=200(1.331)=266.2
(3xy)^2x^4y/x^5
A. 3y^3
B. 3xy^3
C. 9xy^3
D. 9x^5y^3
Answer:
It is the third one
Step-by-step explanation
3 times 3 equals 9.
By solving Power equation, answer of the equation [tex]\frac{(3x)^2x^4y}{x^5}[/tex] is 9xy³.
What is Power equation?The power is "a number says how many times to use the number in a multiplication".
According to the question,
[tex]\frac{(3x)^2x^4y}{x^5}[/tex] = [tex]\frac{9x^2y^2x^4y}{x^5}[/tex] [using power equation]
= 9xy².
Hence, By solving Power equation answer of the equation [tex]\frac{(3x)^2x^4y}{x^5}[/tex] is 9xy³
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Based on the side lengths given (a, b, and o, which triangles are right triangles?
Answer:
2 & 3
Step-by-step explanation:
Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex].
If the values given in each option satisfy the theorem, the sides will make a right triangle.
For Option One:[tex]4^2+6^2=8^2\\=> 4^2=16\\=> 6^2=36\\=>8^2 =64\\16+36=64\\\boxed{52\neq 64}[/tex]
The sides would not make a right triangle.
For Option Two:[tex]6^2+8^2=10^2\\=> 6^2 = 36\\=> 8^2=64\\=> 10^2=100\\36+64=100\\\boxed{100=100}[/tex]
The sides would make a right triangle.
For Option Three:[tex]5^2+6^2=\sqrt{61}^2\\ => 5^2=25\\=>6^2=36\\=>\sqrt{61}^2=61\\ 25+36=61\\\boxed {61=61}[/tex]
The sides would make a right triangle.
For Option Four:[tex]6^2+9^2=12^2\\=> 6^2=36\\=>9^2=81\\=>12^2=144\\36+81=144\\\boxed{117\neq 144}[/tex]
The sides would not make a right triangle.
The correct answer should be options two and three.
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
Answer:Sorry but I know only this much...
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....
Answer:
192π^3
Step-by-step explanation:
the formula for calculating volume of a cylinder is πr^2h (r : radius, h : height)
π×4^2×12 = 192π^3
A news report says that 28%
of high school students pack their lunch.
Your high school has 600
600
students.
How many students in your high school would you expect to pack their lunch?
Answer:
168
Step-by-step explanation:
28% = 28/100
28/100 * 600 = 168
Shaundra opened a savings account with $50.00. Every week, she added $2.50. Write a sequence to show how much money she had in her bank account after 1, 2, 3, 4, 5, and 6 weeks.
Answer:
1 = 2.50
2 = 5
3 = 7.50
4 = 10
5 = 12.50
6 = 15
Step-by-step explanation:
1 x 2.50 = 2.50
2 x 2.50 = 5
3 x 2.50 = 7.50
4 x 2.50 = 10
5 x 2.50 = 12.50
6 x 2.50 = 15
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Find the value of x for which r || S.
A) 44
B) 10
C) Can't be determined.
D) 14
Answer:
x=44
Step-by-step explanation:
For the two lines to be parallel, the two angles have to add to 180 degrees
45+3x+3 =180
Combine like terms
3x+48 = 180
Subtract 48 from each side
3x+48-48=180-48
3x=132
Divide each side by 3
3x/3 = 132/3
x =44
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
The answer is A.
Step-by-step explanation:
As you multiply first equation by -5, you will get the coefficient of x is -5. So when both equations add up, you will eliminate x variable as -5 + 5 = 0, leaving y variable for the solutions.
Answer:
A.
Step-by-step explanation:
If we multiply the first equation by -5 we'll get -5x.
Then on adding the x terms are eliminated.
Simplify the equation
Answer:
option c is the correct.
Step-by-step explanation:
[tex]\frac{2x^4*6x^2}{3x^2}[/tex]
by using the laws of exponent
a^m×a^n=a^m+n
12x^4+2/3x²
[tex]\frac{12x^4}{3x^3}[/tex]
4x^4-3
4x³
Answer:
4x^3
Step-by-step explanation:
In the numerator, (top part) we have 2x^4 times 6x^2
2 times 6 is 12, and x^4 times x^2 is x^6.
Thus, in the top part, we have 12 times x^6.
In the bottom part we have 3 times x^3.
This is exactly the answer for d, but this is not a simplified answer.
Dividing 12 by 3 we have 4, and x^6/x^3 gives us x^(6-3) which is x^3.
Therefore, we have the correct answer: 4x^3
Please answer correctly ASAP !!!!!!!! Will mark brainliest !!!!!!!!!
Answer:
(x-2) (x+2)
I'll explain in comments if you need
a man travels 600km apart by train and partly by car.it takes 8 hours 40 min if he travels 320km by train and rest by car. it would take 30min more if he travels 200km by train and rest by car . find the speed of the train and by separately.
Answer: speed of train = 94.53 km/h
Speed of car = 59.98 km/h
Step-by-step explanation:
Let x = speed of the train
Let y = speed of the car
The total distance travelled by the man is 600 km. It takes 8 hours 40 min if he travels 320km by train and rest by car. This means that the distance travelled by car is 600 - 320 = 280km
60 minutes = 1 hour
The total time of travel = 8 + (40/60) = 8.67 hours
Total time = total distance/total speed
8.67 = 320/x + 280/y
320/x = 8.67 - 280/y
320/x = (8.67y - 280)/y
Cross multiplying, it becomes
320y = x(8.67y - 280)
y = x(8.67y - 280)/320- - - - - - - - - - -1
it would take 30min more if he travels 200km by train and rest by car. The total time would be 8.67 + 0.5 = 9.17 hours
Distance covered by the car is 600 - 200 = 400 km
Therefore,
9.17 = 200/x + 400/y
200/x = 9.17 - 400/y
200/x = (9.17y - 400)/y
Cross multiplying, it becomes
200y = x(9.17y - 400)
y = x(9.17y - 400)/200 - - - - - - - 2
Equating equation 1 to equation 2, it becomes
x(8.67y - 280)/320 = x(9.17y - 400)/200
Dividing both sides by x, it becomes
(8.67y - 280)/320 = (9.17y - 400)/200
Cross multiplying, it becomes
200(8.67y - 280) = 320(9.17y - 400)
1734y - 56000 = 2934.4y - 128000
2934.4y - 1734y = - 56000 + 128000
1200.4y = 72000
y = 72000/1200.4
y = 59.98 km/h
Substituting y = 59.98 into equation 1, it becomes
59.98 = x(8.67 × 52.98 - 280)/320
52.98 × 320 = x(459.3366 - 280)
16953.36 = 179.3366x
x = 16953.36/179.3366
x = 94.53 km/h
Emily has a bag of 20 fruit flavoured sweets 7 of the sweets are strawberry flavoured 11 are lime flavour and two are lemon flavour Emily takes a random sweet from the bag write down the probability that emily took the orange flavour
ANSWER: 0
IT IS BECAUSE THERE IS NO ORANGE FLAVOURED SWEET.
= 0/20 = 0
All corresponding sides are proportional (same ratio) in similar figures. True or False
Answer:
True
Step-by-step explanation:
The corresponding sides are proportional if they have the same ratio. The statement is true.
Answer:
true
Step-by-step explanation: