Answer:
£40.
Step-by-step explanation:
In terms of ratio units, Stephen and Bridget together get 3+2 = 5, while Paul receives 4. That is, Paul gets 4/5 of their combined total, or ...
4/5 · £50 = £40
Paul gets £40.
Given parameters:
Ratio of their money = 3 : 4 : 2
Total amount received by Stephen and Bridget = 50
Unknown :
How much did Paul get = ?
Solution:
The amount Paul got is a fraction of the total.
We need to find the total amount first;
Amount Stephen and Bridget got = [tex]\frac{ratio of stephen and bridget}{total ratio} x total amount[/tex]
let the total amount = y;
50 = [tex]\frac{3+2}{9}[/tex] x y
[tex]\frac{5y}{9}[/tex] = 50
5y = 450
y = 90
Now, the amount Paul got;
= [tex]\frac{4}{9} x 90[/tex]
= 40
The amount Paul got is £40
5. Simplify the expression and find its value when p= 4 and q = -5:
(i) 3 ( p2q + pq2 – pq ) – 6 pq + 3pq2
Step-by-step explanation:
[tex] \bf \blue{ \boxed{ \bf p = 4 \: \: and \: \: q = - 5 \Rightarrow pq = 4 \times ( - 5) = - 20}} [/tex]
3(p2q + pq2 - pq) - 6pq + 3pq2 =
3[-20 × 2 + (-20) × 2 - (-20)] - 6 × (-20) + 3 × 2 × (-20) =
3[-40 + (-40) + 20] - 6 × (-20) + 3 × 2 × (-20) =
3(-40 - 40 + 20) - 6 × (-20) + 3 × 2 × (-20) =
3(-80 + 20) - 6 × (-20) + 3 × 2 × (-20) =
3 × (-60) - 6 × (-20) + 3 × 2 × (-20) =
-180 + 120 + 6 × (-20) =
-180 + 120 + (-120) =
-180 + 120 - 120 =
-60 - 120 = -180
Answer:
-180
Step-by-step explanation:
3 ( p2q + Pq2 - pq ) - 6 pq +3pq2
3 [(4)(2)(-5) + (4)(-5)(2) - (4)(-5)] -6 (4)(-5) +3(4)(-5)(2)
3(-40-40+20) + 120 -120
3(-60) +0
-180+0
-180
Sid Upp is four years younger than his brother Tip. Let x stand for Tip's age . Write an equation stating that Sid's age is 32.
Answer:
x+4=36
Step-by-step explanation:
you would subtract 4 on each side
x+4=36
-4 -4
x=32
Is this scientific notation
42,060=4.206 x 10 to the 4th
Answer:
yes it is scientific notation
You are creating a 25:1 scale model of our classroom and find that our classroom has a length of 30 feet. What is the length of the classroom wall in the scale model in inches?
Answer:
1.2 feet
Step-by-step explanation:
25 : 1 = 30 : x
x = 30/25 = 6/5 = 1.2 feet
The area in square feet of a rectangular field is
x2 – 120x + 3500. The width, in feet, is x-50. What is the
length, in feet?
Answer:
Length in feet: x-70
Step-by-step explanation:
Use factorization to find the length
Area = X^2-120x+3500
Area= length x width.
Area= L x (x-50)= (x-___) (x-50)
To find L we know that in factoring the quadratic equation 50 x __ must be equal to 3500.
(x-70)(x-50) = x^2-120x+3500.
Four years ago, you invested $1000 in an account that returns 5.1% annually. The table shows the value of your investment
at the end of each year.
Time (in years)
1
2
Value (in dollars)
$1051.00
$1104.60
$1160.94
$1220.14
3
4
Does the data represent a linear function? Why or why not?
a. Yes, it appears on a straight line.
C. Yes, the average rate of change is constant.
b. No, it does not appear on a straight line.
d. There is not enough information to determine
whether this is a linear function,
Please coloct the boot
Answer:
It B
Step-by-step explanation:
The data provided in the table does not represent a linear pattern option (b) No, it does not appear on a straight line correct.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
Four years ago, you invested $1000 in an account that returns 5.1% annually.
The table represents the value of your investment at the end of each year.
Time (in years) Value (in dollars)
1 $1051.00
2 $1104.60
3 $1160.94
4 $1220.14
Plot the point (x, y) on the coordinate plane:
From the graph, as we can see (1, $1051.00) does not lie on the line.
Thus, the data provided in the table does not represent a linear pattern option (b) No, it does not appear on a straight line correct.
Learn more about the rate of change here:
brainly.com/question/12786410
#SPJ2
is 3 8/33 equivalent to the decimal 3.24 (repeating)
Answer:
Yes it is
Step-by-step explanation:
8 ÷ 33 = .242424( infinite )
Add the beginning 3 to it and you get 3.24 (repeating)
Hope this helps.
Marcus wants to buy a car for $8,000. He currently has saved $3,450. His job allows him to save $225a week (w). What equation represents his savings (S) to buy a car?
Answer:
Im guessing your asking how many weeks he needs to work, he needs to work 20.2 weeks to get enough for the car. You can easily make a equation with this answer comment on this if you want me to make the equation for you
Step-by-step explanation:
Write and equivalent expression for 88 + 16x + 8.
X = 4
Answer:
88+64+8
Step-by-step explanation:
16*4 =64 and you can just replace that with the x.
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT AND EXPLAIN PLEASE
Answer:
48 degrees
Step-by-step explanation:
the angle measure doesn't scale of shrink with the dilation of circles. the angle only just extends.
The smaller of the two containers has a capacity of 150 gallons. When it is $\frac{4}{5}$ full, its contents are emptied into a larger container, filling exactly $\frac{2}{3}$ of it. What is the capacity, in gallons of the larger container?
Answer:
180 gallons
Step-by-step explanation:
The smaller container has 150 gallons.
Now the large container is filled with the 4/5 of the smaller container.
So if the full volume of the small container is 150 gallons so the 4/5 of it can be calculated as, 4/5*150=120 gallons.
Answer:
hoi
Step-by-step explanation:
MATHEMATICAL CONNECTIONS The volume of a cylinder is given by V=pi r^2h, where r is the radius of the base of the cylinder and h is the height of the cylinder. Find the dimensions of the cylinder. the radius is h-3 and the volume is 25h*pi
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=h-3\\ V=25h\pi \end{cases}\implies 25h\pi =\pi (h-3)^2 h \\\\\\ \cfrac{25h\pi }{\pi h }=(h-3)(h-3)h\implies 25=\stackrel{F~O~I~L}{h^2-6h+9}\implies 0=h^2-6h-16 \\\\\\ 0=(h-8)(h+2)\implies \blacktriangleright h= \begin{cases} 8~~\checkmark\\ -2 \end{cases} \blacktriangleleft ~\hfill \blacktriangleright \underset{radius}{\stackrel{8~~ - ~~3}{5}} \blacktriangleleft[/tex]
notice, we didn't use h = -2, because the height cannot be a negative value.
Natalie has 28 erasers she divided some of her erasers equally among 3 friends Natalie has 10 erasers left how many erasers did each friend get
Answer:
Each friend gets 6 erasers
Step-by-step explanation:
Start by subtracting the number of erasers Natalie has left from 28 to get 18, then divide 18 by 3 to get 6. Each friend gets 6 erasers.
Hopefully this helps - let me know if you have any questions!
b. Convert quarts into gallons
20 quarts= X(1 quart)
= X (1
-
4
= Gallons
= Gallons
Answer:
5 Liquid Gallons
Step-by-step explanation:
To find this answer, divide the volume value of liquid quarts by 4, then you will get 5 as your liquid gallon answer.
[tex] \tan(x) [/tex]
integrate ...
A sample was taken of dogs at a local dog park on two random days. The counts are displayed in the table below. If there are estimated to be 50 dogs at the park at any given time, which proportion could be used to find the average number of shepherd mixes at the park at any given time?
Dog Park Sample
Sample 1
Sample 2
Labrador Retriever
4
Labrador Retriever
5
Shepherd Mix
7
Shepherd Mix
9
Chihuahua
3
Chihuahua
5
Poodle
1
Poodle
2
Australian Cattle Dog
2
Australian Cattle Dog
4
StartFraction 8 over 21 EndFraction = StartFraction x over 50 EndFraction
StartFraction 16 over 21 EndFraction = StartFraction x over 50 EndFraction
StartFraction 8 over 50 EndFraction = StartFraction x over 42 EndFraction
StartFraction 7 over 9 EndFraction = StartFraction x over 50 EndFraction
Answer:
a
Step-by-step explanation:
Which is the value of the smaller zero defined by the function f (x) = 25x² – 4?
Let's see
[tex]\\ \sf\longmapsto 25x^2-4=0[/tex]
[tex]\\ \sf\longmapsto 25x^2=4[/tex]
[tex]\\ \sf\longmapsto (5x)^2=2^2[/tex]
[tex]\\ \sf\longmapsto 5x=2[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{5}[/tex]
Smallest zero 2/5The value of each expression if x=12
3x
Answer:
3*12=36
hope thats the answer
4) The length of a rectangle is double its width. Its perimeter is 33cm. How long is its
width?
5.5 cm
Step-by-step explanation:
Let x be the width of the rectangle.
Since the length is double the width, the length would be 2x.
x can be found by solving the perimeter equation. The perimeter of the rectangle can be found by the equation:
[tex]p = 2(l + w)[/tex]
[tex]33 = 2(2x + x)[/tex]
[tex]33 \div 2 = (2x + x)[/tex]
[tex]16.5 = 3x[/tex]
[tex]16.5 \div 3 = x[/tex]
[tex]5.5 = x[/tex]
Therefore, the width of the rectangle is 5.5 cm.
Volume: The base of a pyramid is a rectangle with a length of 3 centimeters and a width of 6 centimeters. If the height of the pyramid is 12 centimeters, what is the volume of the pyramid?
Answer:
72 cm³
Step-by-step explanation:
Volume of a pyramid = Area of base * height / 3
= 3 * 6 * 12/3 = 72 cm³
Please help. I’ll mark you as brainliest if correct!
Answer:
y=1/3x +16/3
Step-by-step explanation:
m=(y2-y1) / (x2-x1)
=(6-5) (2- -1)
=1/3
Substitute in m and either point into the point slope form
y=m(x-x1) + y
y=1/3(x- -1) +5
y=1/3(x+1) +5
Now lets distribute the 1/3 to and combine the constants to put the answer in standard form
y=1/3x + 1/3 + 5
y=1/3x +1/3 + 15/3
y=1/3x +16/3
pls give me some examples thank you!
DIRECTION: Look around your kitchen and draw at least two real objects that are plane figures and two real object that are solid figures. Put your drawings on the boxes provided below.
Solid Figures;
Plane figures;
Answer:
solid figure: refrigeration
plane figure: table
Answer:
A plane figure is a geometric figure that has no thickness. It lies entirely in one plane.
A solid figure is a three-dimensional (3D) shape or geometric figure that has length, width and height.
Plane figure
Place mat (rectangle)
Dish cloth (square)
Plate (circle)
Solid figure
Can of food (cylinder)
Washing sponge (cuboid)
Orange (sphere)
12. The thickness of a plywood is 11 mm.
(i) How many centimetres is this?
(ii) what part of a metre is mm
Answer:
I) 1.1cm
II) 0.001m = 1mm
Step-by-step explanation:
I)
10mm = 1 cm
11mm = ?
? = (11 x 1)/10 =11/10 =1.1
II)
1000mm = 1m
Milli represents 10^-3 = 0.001
1 millimeter = 1 x 0.001 =0.001m
ANSWER QUICKLYYYYYY!!!
Answer:
AC = 16.5
AE = 9
Step-by-step explanation:
Connect AC and BE
Note m∠ACD = m∠ACB, (both face arc BD)
ΔACD ~ ΔABE
AD : AB = AC : AE
6 : 4 = AC : (6 + 5)
3 : 2 = AC : 11
2AC = 3*11 = 33
AC = 16.5
AE = 9
PLEASE HELP ME ASAP
Its not that hard im just tired
Answer:
combine like terms; 15.4z - 12
Diane walked 4/10 mile x 5 days this week. How far did Diane walk?
answer: 2
(4/10) * 5 = 2
she walk 2 miles per day
PLEASE HELP!!!! Which quadratic equation is part of the solution process for solving this rational equation using the least common denominator?
Answer: for plato users
A is the correct answer
Step-by-step explanation:
I just took the test had 100%
The correct option is A. [tex]x^{2} -x-10=0[/tex].
Given quadratic equation [tex]\frac{2}{3x-6} -\frac{1}{3x+6} =\frac{1}{3}[/tex]
On solving, [tex]\frac{2(3x+6)-1(3x-6)}{(3x-6)(3x+6)} =\frac{1}{3}[/tex]
Further, [tex]\frac{6x+12-3x+6}{9x^{2} -6^{2} } =\frac{1}{3}[/tex]
[tex]\frac{3x+18}{9x^{2} -36} =\frac{1}{3}[/tex]
Taking 3 common from numerator and 9 common from denominator, we have
[tex]\frac{3(x+6)}{9(x^{2} -4)} =\frac{1}{3}[/tex]
[tex]\frac{(x+6)}{3(x^{2} -4)} =\frac{1}{3}[/tex]
[tex]\frac{x+6}{x^{2} -4} =1[/tex]
[tex]x+6=x^{2} -4[/tex]
On rearranging in decreasing powers of x we get,[tex]x^{2} -x-10=0[/tex].
Hence on solving, We get [tex]x^{2} -x-10=0.[/tex]
For more details on Quadratic equation follow the link:
https://brainly.com/question/17177510
Please help. I will give brainliest and all my points.
Answer alternate exterior angles theorem
Step-by-step explanation
just do it
have this done for brainliest
Answer:
HEYYYYY HOW ARE YOUUUU :)
Step-by-step explanation:
5x - 5 + 2x 6: PEMDAS
5x - 5 + 2x + 6: order of operation??
5x + 2x - 5 + 6: Combine like terms
7x + 1: Your answer...
rearrange so u Rearrange the equation so www is the independent variable.
−2u+6w=9
Answer:
w=9+2u/6
Step-by-step explanation:
-2u+6w=9
+2u on both sides
6w=9+2u
/6 on both sides
w=9+2u/6