Answer: £18
Step-by-step explanation:
let Bridget get £x,
Stephen gets 3x, Richard gets 2(3x)
Equation is x + 3x + 6x = 60
10x = 60: x = 60/40 = 6
Bridget gets £6
Stephen gets 3x = 3 x 6 = £18
Richard gets 2(3x) = 2 x 18 = £36
help me please i need this done ASAP
Answer:
20 miles
Step-by-step explanation:
1 : just use the line to trace how long it would be
Find the rate of change for each linear function
decrease of 22 m/min
Decrease of 22 min/m
Increase of 22 m/min
Decrease of 20 m/mm
Answer:
Answer = decrease of 22 m/min
expand 3(t-7)
expand 2t(t-3)
expand -3s(t+5)
expand (3+x) (3-x)
expand (4x-7) (4x+7)
Answer:
3t-21
2t²-6t
-3st-15s
9-x²
16x²-49
Step-by-step explanation:
In general
A(B+C)=AB+AC
(A+B)(D+C)=AD+AC+BD+BC
(A+B)(A-B)=A²+AB-BA-B²=A²-B²
ANSWER:
1) 3(t-7)
= 3t-21
2) 2t(t-3)
= 2t^2-6t
3) -3s(t+5)
= -3st-15s
4) (3+x)(3-x)
= 9-3x+3x-x^2
5) (4x-7)(4x+7)
= 16x^2 -28x+ 28x-49
The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:
Answer:
Step-by-step explanation:
Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
What is Cramer's rule?Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.
Given that,
[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]
solution by Cramer's rule
[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A = -320[/tex]
[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]
[tex]A_1 = 7210[/tex]
[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]
[tex]A_2=-10135[/tex]
[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]
[tex]A_3=-2770[/tex]
[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]
[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]
[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]
[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]
Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.
Learn more about Cramer's rule
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This sphere has a diameter of 5 m. What is the volume of the sphere?
Answer:
65.46 meters cubed
Step-by-step explanation:
Answer: the answer is V= 125/6πm^3
Step-by-step explanation: edge 2021
Please help with the question (it is the image lol) thanks!
Answer:
Volume of the liquid left in the container will be 80 ml.
Step-by-step explanation:
Two containers A and B having equal volumes of the liquid has been shown in the figure attached.
Let the volume of the liquid in each container = x ml
120 ml of the liquid was poured in container B from container A.
Volume of liquid in container B = 4 × Volume of the liquid in container A
x + 120 = 4(x - 120)
x + 120 = 4x - 480
4x - x = 480 + 120
3x = 600
x = 200 ml
Volume of the liquid left in container A = 200 - 120
= 80 ml
Therefore, volume of the liquid left in the container A will be 80 ml.
Select the correct answer from each drop-down menu.
Shape I is similar to shape II.
Answer:
Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"
Answer:
The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2
Step-by-step explanation:
Please help me with 2 more questions ill give good ratings please!
Answer:
3, - 6 )
Step-by-step explanation:
Since the dilatation is centred at the origin , multiply the original coordinates by the scale factor, that is
(6, - 12 ) → ([tex]\frac{1}{2}[/tex] × 6, [tex]\frac{1}{2}[/tex] × - 12 ) → (3, - 6 )
What is the sum o[tex]\sqrt{-} 2 and \sqrt{} -18[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]
The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.
Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger
pyramid?
9/16
3/4
4/3
16/9
Answer:9/16
Step-by-step explanation:
Since we know it's 3/4 use
r=(3/4)² .... [tex](\frac{3}{4} x\frac{3}{4} )[/tex] =[tex]\frac{9}{16}[/tex]
Find the surface area of the cylinder. Round your answer to the nearest tenth. Radius-8ft hieght-9ft
thanks!
The answer is 854.5 ft
I havent done surface area in a while so it might be slightly off
Which of the following choices best describes the behavior of the light rays when they pass through the lens:
A)The rays will refract and bend away from each other.
B)The rays will refract and bend toward each other.
C)The rays will move through the lens without changing direction.
D)The rays will bounce off the surface of the lens.
i would C because it the lights didnt bend
it went through
Please help quickly
Answer:
Step-by-step explanation:
-0.75 + 0.4 + 0.4 - 0.75
-1.50 + 0.8
-0.70
Please help with this...will give you five star and brainlist.....
Answer:
P = 72 mm
Step-by-step explanation:
Since all the angles are equal, this triangle is an equilateral triangle.
That means all the sides are equal.
All sides have length 24
P = 24+24+24
P = 72 mm
What is the area of the deck, not including the garden, in Plan A? (Type
the numeric answer only). *
Answer:
342 ft squared
Step-by-step explanation:
You know how to find the area of a rectangle: Multiply the dimensions together (length x width).
You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.
First, find the area of the big rectangle:
18 * 25 = 450 ft squared
Now, find the area of the small one:
9 * 12 = 108 ft squared
Finally, subtract the area of the small rectangle from the area of the big one:
450 - 108 = 342 ft squared
Hope this helps! Please comment on this answer if you have any questions :)
The coordinate of point E is 2 and the coordinate of point Fis 5. Find
the length of segment FE.
To find the length of FE subtract t E feom F
FE = 5-2 = 3 units long
what is the value for Y
Answer: y = 27 degrees
Step-by-step explanation:
x = 90 degrees (right angle)
90 + 63 = 153
180 - 153 = 27
Please answer fast, dhehdhhd
I believe the answer is 142 degrees.
38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.
Number 7 and 5 are corresponding, so they are equal.
This means that 5 is 142 degrees.
(I think)
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
no
Step-by-step explanation:
Answer: I thinks its D if im wrong sorry
Step-by-step explanation:
The LA Taxi Co. fare in Los Angeles is $3.20 for the first 12mile. Additional mileage is charged at the rate of $0.25 for each 0.1 mile. You plan to give the driver a $2.00 tip. It is 6.5 miles to your grandmother’s house. How much will your total fare be, including tip?
Answer:
Your total fare including tip is $20.2
Step-by-step explanation:
Cost for first 0.5 mile = $ 3.20
Now we are given that Additional mileage is charged at the rate of $0.25 for each 0.1 mile.
It is 6.5 miles to your grandmother’s house.
So, remaining distance = 6.5-0.5=6 miles
Cost for 0.1 mile = $0.25
Cost for 1 mile =[tex]\frac{0.25}{0.1}[/tex]
Cost for 6 mile = [tex]\frac{0.25}{0.1} \times 6=15[/tex]
You plan to give the driver a $2.00 tip.
So, Total cost = $2+$3.2+$15=$20.2
Hence your total fare including tip is $20.2
A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
positions will be for women. There are 16 candidates, 9 men and 7 women. What is the
total possible outcome?
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
[tex]Male = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Male = 9C3[/tex]
[tex]Male = \frac{9!}{3!(9-3)!}[/tex]
[tex]Male = \frac{9!}{3!(6)!}[/tex]
[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]
[tex]Male = 84 ways[/tex]
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
[tex]Female = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Female = 7C2[/tex]
[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]
[tex]Female = \frac{7!}{2!(5)!}[/tex]
[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]
[tex]Female = \frac{7 * 6}{2!}[/tex]
[tex]Female = \frac{42}{2*1}[/tex]
[tex]Female = 21 ways[/tex]
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,
[tex]Total = 84 * 21[/tex]
[tex]Total = 1764 ways[/tex]
what is 15 divided by 82?
82 ÷ 15 = 5.4
Mixed number form: 5 ⁷/₁₅
Answer:
the answer is 5.4
Step-by-step explanation:
[tex] ({3x}^{2} + 2x + 1) + ( {2x}^{2} - 4x - 5) + (3x - 1)[/tex]
Answer:
[tex]5x^2+x-5[/tex]
Step-by-step explanation:
[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]
Hope this helps!
how many integers between 17 and 2678 are multiples of 11
Answer:
242 integers
Step-by-step explanation:
We have to find the number of integers between 17 and 2678 which are the multiple of 11.
Divide 17 by 11 = [tex]\frac{17}{11}=1.55[/tex]
Smallest multiple of 11 which is greater than 11 = 2nd multiple = 22
Divide the largest number 2678 by 11 = [tex]\frac{2678}{11}=243.45[/tex]
Largest multiple of 11 which is less than 2678 = 443rd multiple
= 243 × 11
= 2673
Therefore, number of integers between 17 and 2678 multiple of 11
= 243 - 2 + 1
= 242 integers
Cinco amigos pidieron una pizza personal
extra grande cada uno. A continuación se
muestra la fracción de pizza que se comió
cada uno.
3
8
1
7
8
3
4
2
Encuentra la mediana de las fracciones
de pizza que se comieron.
Answer:
3/4
Step-by-step explanation:
25
Write the number 0.5 in the form , using integers, to show that it is a rational number.
5/11
5/100
5/10
2/1
Answer:
5/10
Step-by-step explanation:
0.5 is 5 tenths which is 5/10
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
1/3(6x+23)+1/3
please see the attached picture
hope it helps
good luck on your assignment
Eight less than a number is six more than twice the same number.
I need the number.
What object is defined using a directrix and a focus
A. Perpendicular Bisector
B. Parabola
C. Circle
D. Angle Bisector
Answer: B
Step-by-step explanation:
A parabola is defined using both a directrix and a focus.
To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”
Hope this helps! :)
Please help with my math
Answer: 9x-20
Step-by-step explanation:
The function is [tex]f(x)=3x-5[/tex], in order to obtain f(f(x)) you have to replace x in the function by the function itself:
[tex]f(f(x))=3(3x-5)-5=9x-15-5=9x-20[/tex]
