factor using x method and foil to prove
two brothers, richard and andrew share a sum £30 in the ratio 3:7 how much does each brother get?
Answer:
Richard gets: £9
Andrew gets: £21
Step-by-step explanation:
To get the value of 1 part we have to add the total number of parts (3+7) and then divide them by the sum (30) 30/10 = 3 so we know 1 part is £3
Thus Richard gets: £3*3 = £9
And Andrew gets: £3*7 = £21
what is the domain and range , and is it a function ?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Instructions
Solve each problem by finding the area,
A new arrow needs to be painted on the road to direct traffic.
What shapes can the figure be broken into?
What is the area of the arrow?
I
7 ft
1 ft
2 ft
11 ft
Answer:
The arrow can be broken into a rectangle and a triangle.
And the area of the arrow is 22 ft^2
Step-by-step explanation:
Area of the rectangle:
length • width = 7 • 2 = 14 ft^2
Area of the triangle:
(base • height) / 2
You must add 1 + 2 + 1 in order to get the base which is 4
And to get the height, you must do 11 - 7 = 4 (height)
(4 • 4) / 2 = 8 ft^2
Add both areas together to get the area of the arrow:
14 ft^2 + 8 ft^2 = 22 ft^2
Hope this helps!
8y-2x=-72
Standard to slope intercept form.
Answer: y = 1/4x - 9
Step-by-step explanation:
8y = 2x - 72 (add 2x to both sides)y = 2/8x - 72/8 (simplify)y = 1/4x - 9The objective when solving an equation is to....
Answer:
to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, you have to reverse the operations acting on the variable.
Step-by-step explanation:
Can anyone help me with this please :( ?
Don’t answer if you do not know.
I will mark you as a brainliest:) !
Answer:
y=200x
Step-by-step explanation:
the y intercept is 0 so it does not need to be added
the line rises 200 every time
don´t really know how else to explain hope this helps
Express as a trinomial.
(2 – 4)(2x + 3)
Answer:
-2(2x+3)
Step-by-step explanation:
Answer:
-2 (2x + 3)
Step-by-step explanation:
We need to use FOIL
Multiply the FIRST terms of each set together
Then the OUTSIDE terms
Then the INSIDE terms
and then the LAST terms
Thus:
[tex]2*2x = 4x[/tex]
[tex]2*3 = 6[/tex]
[tex]-4*3 = -12[/tex]
[tex]-4*2x = -8x[/tex]
So finally we end up with 4x + 6 - 12 - 8x
Simplifying this gives us -4x - 6
We can then factor out -2 from each factor, giving: -2(2x+3)
Hope this helps!
Please help me with my homework please
Answer:
a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.
b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.
Remember: Speed=Distance/Timeplease answer this:
3n + 2 = 17
Need this ASAP!! Would help if you could answer as quick as possible :)
Answer:
-32p +56
Step-by-step explanation:
distribute the 8 to everything in the parenthesis
Please help Find x
====================================================
Explanation:
The hexagon is broken up into 6 congruent or identical equilateral triangles. If we find the area of one triangle, then we multiply by 6 to get the area of the hexagon.
Going in reverse, we divide the hexagon's area by 6 to get the area of one equilateral triangle
We're told the hexagon has an area of [tex]18\sqrt{3}[/tex] square inches. Divide this by 6 and you should get the result [tex]3\sqrt{3}[/tex]. So each of the six equilateral triangles has area of [tex]3\sqrt{3}[/tex] square inches.
-------------------------------------
Each triangle has a base of [tex]2(\sqrt{3})^{x/12}[/tex] and a height of [tex](\sqrt{3})^{x/6}[/tex]
The x/12 and x/6 are exponents.
Let [tex]b = 2(\sqrt{3})^{x/12}[/tex] and [tex]h = (\sqrt{3})^{x/6}[/tex] be the base and height respectively.
Also, let [tex]A = 3\sqrt{3}[/tex] be the area of the triangle
We can then solve for x like so:
[tex]A = 0.5*b*h\\\\3\sqrt{3} = 0.5*2(\sqrt{3})^{x/12}*(\sqrt{3})^{x/6}\\\\3*3^{1/2} = (\sqrt{3})^{x/12+x/6}\\\\3^1*3^{1/2} = (\sqrt{3})^{x/12+2x/12}\\\\3^{1+1/2} = (\sqrt{3})^{3x/12}\\\\3^{3/2} = (3^{1/2})^{x/4}\\\\3^{3/2} = 3^{(1/2)*(x/4)}\\\\3^{3/2} = 3^{x/8}\\\\[/tex]
Since the bases are equal to 3, this means the exponents must be equal as well (for both sides overall to be equal)
3/2 = x/8
3*8 = 2*x ... cross multiply
24 = 2x
2x = 24
x = 24/2
x = 12
find the equation in slope-intercept form of the line that passes through the points (-3,4)&(2,-1)
Answer:
The slope: -1
The y intercept form: (0,1)
If you want it in equation form: y=-x+1
How it looks when Graph-ed:
The time (t) required to finish a certain job is inversely
proportional to the number of persons (p) on the job. If 10
persons can finish the job in 6 hours, how long will it take
for 30 persons to finish the job?
18 hours
Step-by-step explanation:
6/10=0.6 hours (one person takes 0.6 hour)
0.6×30=18 hours
or another way 10 is 1/3 of 30. so
6:1/3=18
Emmet rolls a number cube. In 5 out of 24 trials, he rolls a six. What is the
difference between Emmet's experimental probability of rolling a six, and
the theoretical probability of rolling a six?
A
1
24
B)
1
12
Answer:
A.
Step-by-step explanation:
GIVING 50 POINTS IF YOU CAN ANSWER THIS PROPERLY - Given the following system of inequalities graph, which of these pairs of linear inequalities is correct?
Answer: its c
Step-by-step explanation: because when ur graphing the inequality the variable is on the opposite side
Subtact: (7x + 5) - (3x + 2)
Answer:
4x+3
Step-by-step explanation:
subtract 7-3 =4 then you subtract 5-2=3. put it together 4x+3
Answer:
4x + 3
Step-by-step explanation:
1. Remove parentheses.
7x + 5 - 3x + 2
2.Collect like terms.
(7x - 3x) + (5 - 2)
3. simplify.
4x + 3
Therefor, the answer is, 4x + 3
Jeremy is packaging a stew into to-go containers. There are 5 3/4 cups of stew that need to be put into 5 to-go containers equally. How many cups of stew will be in each container?
Answer:
1 3/20
Step-by-step explanation:
5 3/4 divided by 5
5 3/4 divided by 5/1
5x4+3=23
23/4 divided by 5/1
Keep Change Flip
23/4 x 1/5
23 x 1=23
4 x 5=20
23/20=1 3/20
URGENT!! PLEASE HELP 30 POINTS! FAKE ANSWERS REPORTED
Answer:
X=1÷2,Y=32°
Step-by-step explanation:
in right angled traingleRST
<R+<T<S=180(INTERIOR ANGLE OF TRAINGLE)
Y-2+90+60=180(S=60°BEING ONE ANGLE OF EQUILATERAL TRAINGLE)
Y+148=180
Y=180-148=32
NOW,
UT=5X(RT BISECTS TS AND UT EQUALLY)
RU=US(SIDE OF EQUILITERAL TRAINGLE IS EQUAL)
8X+1=UT+TS
8X+1=5X+5X
1=10X-8X
1=2X
X=1/2
Which model shows 0.32 shaded?
A
B
C
D
Answer:D
Step-by-step explanation:
Because it has 32 blocks shaded in
HELP THIS IS WORTH 100 POINTS WILL MARK BRAINLIEST
Answer:
I cant see it
Step-by-step explanation:
The length and breadth of rectangular field are 240m and 200m respectively. Find the cost of digging the field at Rs 10 per m^2
Answer:
Please check the explanation.
Step-by-step explanation:
Given
The length of rectangular field = l = 240mThe breadth of rectangular field = w = 200mWe can determine the area of the rectangular field using the equation
[tex]A=wl[/tex]
where
[tex]l[/tex] is the length [tex]w[/tex] is the widthsubstituting l = 240m, and w = 200m in the formula
[tex]A=wl[/tex]
A = 240 × 200
A = 48000 m²
Given that the cost of digging the field at Rs 10 per m².
Thus,
The cost of digging the field of the area 48000 m² = 10 × 48000
= 480000 Rs
Therefore, the total cost of digging = 480000 Rs
Help please due now
Answer:
The equation is;
y = -2x + 1
the answer belonging in the green question mark is -2
Step-by-step explanation:
We start by getting the slope
The slope can be obtained by selecting any two points and applying the slope formula
let us select the points;
(1,-1) and (3,-5)
the slope formula is;
m = (y2-y1)/(x2-x1)
m = (-5-(-1)/(3-1)
m = (-5+1)/2 = -4/2 = -2
The y intercept is the value of y when x = 0
As it can be seen, y = 1 when x = 0
so the equation of the relation is;
y = -2x + 1
what is 0.375 as a fraction
Answer:
3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8
Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.
3(x - 6) + (4x + 12) - 6x
3x - 9 + 4x + 12 - 6x
(3x + 4x - 6x) + (-9 + 12)
x + 3
Answer:
Step 2 is wrong.
It should be 3x – 18 + 4x + 12 – 6x
Explanation:
3(x – 6) + (4x + 12) – 6x →
3x – 18 + 4x + 12 – 6x →
(3x + 4x – 6x) + (-18 + 12) →
x – 6
help please and thank you
All you need to do is that Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
21x+7=133
subtract 7 from both sides:
21x=126
divide 21 by both sides:
x=6
Please help this is due today and. I need to get it done fast!!!
I will mark Brainliest if there are multiple answers!!!
These shapes (in the photo attached) are similar. Find the value of x.
Please help nobody has been answering!!!
Answer:
x = 14
Step-by-step explanation:
We can calculate the value of x using similarity ratio
22/4 = x/3 cross multiply expressions
66 = 4x divide both sides by 4
x = 14
What graph is (-5, 0)?
if £2000 is placed into a bank account that pays 3% compound interest per year how much will be in account after 2 years?
Answer:
£2121.80
Step-by-step explanation:
Year 1 -> 2000 + (3% of 2000) = 2000 + (60) = 2060
Year 2 -> 2060 + (3% of 2060) = 2060 + (61.80) = 2121.80
Please help me if your good at math I’m really struggling
Select the table representing a linear function. (Graph them if necessary)
Answer:
B
Step-by-step explanation:
There are a couple of ways you can go about solving this. The first is plotting all of the points and seeing which one makes a straight line. This is a little bit more time consuming but is great if you blank out and forget how to solve it. The faster way to do it is to see which function is decreasing/increase a constant amount between equal intervals. A increases but by a different amount each time. B decreases by 2 each time. C decreases at different intervals each time. And D does not consistently increase or decrease.