Answer:
[tex]\boxed{\sf{(x-4)(x-6)}}[/tex]
Step-by-step explanation:
In order to solve this problem, all you have to do is multiply their expressions by their factors.
To begin, you must group these expressions.
[tex]\sf{x^2-10x+24=\left(x^2-4x\right)+\left(-6x+24\right)}[/tex]
After that, you factor.
Solve.
[tex]\sf{x^2-4=x(x-4)}[/tex]
-6x+24=-6(x-4)
Then rewrite the problem down.
x(x-4)-6(x-4)
Factor by the common term.
(x-4)(x-6)
Therefore, the final answer is (x-4)(x-6).
I hope this helps you! Let me know if my answer is wrong or not.
What is 5 x 3/20 as a fraction in its simplest form
Answer:
3/4
Step-by-step explanation:
You can form the product, then cancel common factors, or you can cancel common factors before you form the product.
__
[tex]5\times\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3\cdot5}{4\cdot5}=\boxed{\dfrac{3}{4}}\\\\\textsf{or ...}\\\\5\times\dfrac{3}{20}=\dfrac{5}{20}\cdot\dfrac{3}{1}=\dfrac{1}{4}\cdot\dfrac{3}{1}=\boxed{\dfrac{3}{4}}[/tex]
A plane traveling with the wind travels 900 miles in 5 hours. the return trip is against the wind and takes 9 hours. find the rate of the plane in still air and the rate of the wind.
Using the relation between velocity, distance and time, it is found that:
The rate of the plane in still air is of 140 mph.The rate of the wind is of 40 mph.What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
A plane traveling with the wind travels 900 miles in 5 hours, hence:
[tex]v_a + v_w = \frac{900}{5}[/tex]
[tex]v_a + v_w = 180[/tex]
The return trip is against the wind and takes 9 hours, hence:
[tex]v_a - v_w = \frac{900}{9}[/tex]
[tex]v_a - v_w = 100[/tex]
From the first equation, we have that:
[tex]v_w = 180 - v_a{/tex]
Replacing on the second:
[tex]v_a - v_w = 100[/tex]
[tex]v_a - 180 + v_a = 100[/tex]
[tex]2v_a = 280[/tex]
[tex]v_a = 140[/tex]
[tex]v_w = 180 - 140 = 40{/tex]
Hence:
The rate of the plane in still air is of 140 mph.The rate of the wind is of 40 mph.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
What is an equation of the line that passes through the point
(-2,-8) and has a slope of 3?
Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
y - (-8) = 3(x - (-2)) y + 8 = 3(x + 2)y + 8 = 3x + 6y = 3x - 2The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
What is the area of ABC?
Answer:
C 10
Step-by-step explanation:
Heron's formula to calculate the area of a triangle based on 3 sides :
p (half the perimeter) = (a+b+c)/2
area = sqrt(p(p-a)(p-b)(p-c))
AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)
AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)
BC = b = sqrt(2² + 4²) = 2×sqrt(5)
p = 2×sqrt(5) + sqrt(10)
area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =
= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =
= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10
Every time Martina orders Chinese food, she gets egg drop soup. So, she decides to learn how to make it herself. Her recipe calls for 8 cups of broth, but she can only find 32-fluid-ounce cartons at the store. How many cartons should she buy?
cartons
Answer:
2 cartons
Step-by-step explanation:
Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.
Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!
Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).
8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces
So! Martina needs 64 fluid ounces of broth to be able to create her recipe!
But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!
64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons
Melina needs to buy 2 cartons of broth to be able to complete her recipe.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
pLs HeLp Mememememe :((((((((((((((((((((( (
Answer:
21/2
Step-by-step explanation:
10.5 is correct, but that's a decimal
21/2=10.5
Answer:
21/2
Step-by-step explanation:
10*2 = 20
then 20 + 1 = 21
to get your answer which is 21/2
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
I need help please. i will give brainliest
Answer:
1) There were 120 customers per night when the restaurant opened
2) y = -2x + 24
Step-by-step explanation:
1) x represents the # of months since a restaurant opened, and y represents the average number of nightly customers.
y=mx+b
120 is b in this situation, which is the y-intercept of the line. This means that 120 is the starting number of customers when the restaurant first opened.
write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .
Answer:
25h+12
Step-by-step explanation:
Add the numbers :
21h-10h + 16-9 + 14h+ 5
21h-10h + 12 + 14h
Combine like terms:
25h + 12
help meeee
Given the following formula, solve for a.
A.
B.
C.
D.
Answer:
The correct answer is D.
I hope this helps
40 POINTS HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this
Exponential functions are used to represent growth or decay of a substance. The amount that will be left after 12 hours is 17.42mg
How to model exponential equationsThe standard form of an exponential equation is given as:
[tex]y=a(1-r)^t[/tex]
where;
y= total amounta= starting amountr= the growth rate as a decimalt= number of growth periodsGiven the following parameters
a = 550mg
r = 0.25
t = 12
Substitute into the formula
[tex]y=550(1-0.25)^{12}\\y = 550(0.75)^{12}\\y=17.42mg[/tex]
Hence the amount that will be left after 12 hours is 17.42mg
Learn more on exponential equation here: https://brainly.com/question/12940982
2(x-3)+3y when x=5 and y=3
Step-by-step explanation:
2 ( 5 - 3 ) + 3 ( 3 )
2 × 2 + 9 = 4 + 9 = 13
The Books Galore bookstore made 3 different orders for The Number Book. The ratio
of the amount of books sold and the price of each book is a fixed number. The table
shows their 3 orders.
Book Order Total Cost
212
S665.68
?
S1450.68
375
Part A
What is the number of books ordered for a purchase of $1450.68?
0453
O 456
O 462
465
13 14 15
16
17 18 19 20
For exercises 4–9, find the value of x. round to the nearest tenth.[
Answer:
Step-by-step explanation:
where is exercise 4-9?
or at least give us the equation
What is the median of the following numbers? 1, 2, 4, 6, 41,2,4,6,41, comma, 2, comma, 4, comma, 6, comma, 4
Answer:
4
Step-by-step explanation:
Here are the Numbers: 1,2,4,6,41,2,4,6,41,2,4,6,4
First we order from least to greatest;
1,2,2,2,4,4,4,4,6,6,6,41,41
Since the amount of numbers are odd, we just take the middle number:4
A large bottle of juice contains 500 mililiters of juice. A medium bottle contains 70% as much juice as the large bottle.
How many milliliters of juice are in the medium bottle?
Answer:
350ml
Step-by-step explanation:
70% of 500=
500 divided by 10=50
50x7=350ml
Answer:
juice contained in large bottle = 500 ml
juice contained in medium bottle = 70% of large bottle
= 70 % of 500 ml
= 70/100 × 500
= 350 ml
If f(x) = 2:3 +3 – 3 and g(x) = 22 + 2x, then what is (f + g)(x)?
Answer:
28+2x
Step-by-step explanation:
simplificar la expresión.
If the steak your purchasing is 6 ounces how much does each once cost
Is 1,-9 a solution to y=-9
Answer:
yes
Step-by-step explanation:
(x,y) -> (1,-9) y=-9
what is
Find p(rolling a 4)
Answer: 4/6
Step-by-step explanation: This because most dice have a 6 sides on them and others have more and if you roll a 6-sided dice you will get 4/6 of a probabilty that you will role a 4.
Hope This Helps!A farmer plants wheat and corn. It costs about $150 per acre to plant wheat and about $350 per acre to plant corn. The farmer plans to spend no more than $250,000 planting wheat and corn. The total area of corn and wheat that the farmer plans to plant is less than 1200 acres
The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of wheat acres and y represent the number of corn acres, hence:
150x + 350 y ≤ 250000 (1)
Also:
x + y < 1200 (2)
The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200
Find out more on inequality at: https://brainly.com/question/24372553
PLEASE ANSWER I DONT KNOW THE ANSWER
Answer:
option D 201.1km²
Step-by-step explanation:
Area of sector=∅/360×πr²
=90/360×22/7×16×16
=1/4×22/7×16×16
=22/7×64
=1408/7
=201.1km²
What is an equation of the line perpendicular to y=-x-2 and through (-2, 4)?
I would really appreciate the help, I've been stuck on this problem for awhile.
Answer: y = x + 6
Step-by-step explanation:
[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]
[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]
[tex]m=-1[/tex]
[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]
[tex]\left(-1\right)m_p=-1[/tex]
[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]
[tex]m_p=1[/tex]
[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]
[tex]y=x+b[/tex]
[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]
[tex]4=\left(-2\right)+b[/tex]
[tex]-2+b=4[/tex]
[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]
[tex]-2+b+2=4+2[/tex]
[tex]\text{Simplify}[/tex]
[tex]b=6[/tex]
[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]
[tex]y=x+6[/tex]
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
14.4
Step-by-step explanation:
We have hypotenuse so cannot use tangent. We have adjacent so we can't use sine, therefore, we have to use cosine.
x = cos(59) x 28
x = 14.4
The equation 4x – 45 = y is used to find your profit, y, in dollars from buying $45 of supplies and washing cars for $4 each. What does the x stand for?
type of angle that has the sallest measure
Answer: acute angle
Step-by-step explanation: acute angle is the smallest starting from 0 to 90 DDegrees .
A soup can has a radius of 4.3 cm and a height of 11.6 cm. What is the approximate volume of the soup can?
Answer:
673.82 cm³
Explanation:
soup can are usually in the form of a cylinder.cylinder volume : [tex]\sf \pi r^2h[/tex]
[tex]\rightarrow \sf \pi (4.3)^2(11.6)[/tex]
[tex]\rightarrow \sf 673.82 \ cm^3[/tex]
Brainliest available
Simplify
Answer:
8x^3y^3
Step-by-step explanation:
Thats the answer but the ones with the symbol are up
To simplify this, we must simply power every component within the parentheses by 3
[tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]
Hope that helps!
find the volume of the cubes or rectangular prisms in cubic centimeters.36/125 cm 3 6/125 cm 3 8/125 cm 3 1/125 cm 3cube with a side length of cmrectangular prism with a length,width, and height of cm, cm,and cm, respectivelycube with a side length of cmrectangular prism with a length,width, and height of cm, cm,and cm, respectively
Applying the formula for volume of a rectangular prism and volume of a cube, we would have:
a. 6/125 cm³
b. 8/125 cm³
c. 1/125 cm³
d. 36/125 cm³
What is the Volume of a Rectangular Prism and a Cube?Volume of rectangular prism = length × width × height.Volume of cube = (side length)³a. Volume of rectangular prism = length × width × height = (1/5) × (2/5) × (3/5)
Volume of rectangular prism = 6/125 cm³
b. Volume of cube = (side length)³ = (2/5)³
Volume of cube = 8/125 cm³
c. Volume of cube = (side length)³ = (1/5)³
Volume of cube = 1/125 cm³
d. Volume of rectangular prism = length × width × height = (3/5) × (4/5) × (3/5)
Volume of rectangular prism = 36/125 cm³
Learn more about the volume of rectangular prism and cube on:
https://brainly.com/question/26821029
La distancia entre dos ciudades A y B es de 255 km. Un automovil sale de A hacia B a una velocidad de 90 km/h. Al mismo tiempo sale, otro automovil de B hacia A a una velocidad de 80 km/h. Suponiendo su velocidad constante , calcula la distancia que ha recorrido cada uno hasta el momento del encuentro
Usando proporciones, hay que:
El auto A hay recorrido 135 km.El auto B hay recorrido 120 km.¿Qué es una proporción?Una proporción es una fracción de la cantidad total.
En este problema, dos automovis, en sentidos opostos, salen al mismo tiempo. Por eso, su velocidad relativa es de 90 km/h + 80 km/h = 170 km/h.
La distancia es de 255 km, por eso, el tiempo en que se encontraran, en horas, es dado por:
t = 255/170 = 1.5h
La distancia recorrida por cada auto es dada por:
dA = 90 x 1.5 = 135 km.
dB = 80 x 1.5 = 120 km.
Puede-se aprender mas a cerca de proporciones en brainly.com/question/26425852