Five siblings decide to buy their father a birthday present that costs b dollars, splitting the cost evenly amongst themselves. In terms of B, how much money does each sibling save by buying the gift as a group rather than alone?
A = b/25
B = b/5
C = 4b/5
D = 4b

Answers

Answer 1

Answer: b/5

Step-by-step explanation:

They divide the total by 5 to get the cost each person has to pay


Related Questions

If the means of 5,11,6,4,7,p and 10 is 8,find the value of p. ​

Answers

Answer:

p = 13

Step-by-step explanation:

The mean of 5, 11, 6, 4, 7, 10, p is 8

So 8 = 5+11+6+4+7+10+p divided by 7.

So 56 = 43+p

Therefore p = 56-43

                    = 13

Hope I helped

         

⇒ 5 + 11 + 6 + 4 + 7 + p + 10 / 7 = 8

⇒ 43 + p = 56

p = 13

The value of p is 13.

area = ft
help me please ty:)​

Answers

find the length using the Pythagorean theorem.

Length = sqrt(20^2 - 12^2)

Length = 16 feet


area = 12 x 16 = 192 square feet

Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW

4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.

Complete the two-column proof.

edge 2022 pls helpppppp

Answers

We have proven that line TU is parallel to line VW as shown below. That is, TU || VW

Proof of angles

From the question, we are to prove that TU || VW

In the given image,

   Statements           Reasons

1. ST || UV                  Given

2. ∠T ≅ ∠U                Alternate angles

3. ∠T ≅ ∠V                Given

4. ∠U≅ ∠V                 Substitution property

5. TU || VW                 Alternate interior angles theorem

NOTE: If the alternate interior angles formed by a transversal of two lines are equal, then the lines are parallel

Hence, we have proven that line TU is parallel to line VW. That is, TU || VW

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Answer:

a c c

Step-by-step explanation:

which greek geometer founded a philosophical society that devoted itself to study of mathematics​

Answers

Answer:

Pythagoras was the Greek geometer .

Please mark me as the brainliest.

Pythagoras was the Greek geometer among the choices given in the question that founded a philosophical society that devoted itself to the study of mathematics

The graph of g(x), shown below in red, has the same shape as the graph of
f(x) = 2x, shown in blue. Which of the following is the equation for g(x)?

A. g(x) = 2(x-1) - 3
B. g(x) = 2(x+3) - 1
C. g(x) = 2(x-3) -1
D. g(x) = 2(x+1) - 3

Answers

The answer will most definitely be C

D is the midpoint of AB and E is the midpoint of BC. If AC=48, what is the length of DE ?

Answers

Answer:

24 is the answer for the following

Step-by-step explanation:

please mark me as brainlest

Jerry plans to keep up this saving pattern until he can no longer afford it. At that time he hopes to have enough in his account for his trip. How much will be in the account, after making the down payment, if the most he will be able to contribute in a month is $1,200?

Answers

It will be 300 in the account after he contributes

Consider the circle represented by this equation.
x² + 4x + y2 - 2y - 4 = 0
Which features are features of the circle?

Answers

Answer:

See below

Step-by-step explanation:

arrange to standard form   (x-h)^2   + (y-k)^2 = r^2     h,k = center   r = radius

x^2 - 4x        +    y^2 + 2y   =   4        complete the square for 'x' and 'y'

(x-2)^2    -  4    +    (y-1)^2  -1  = 4

(x-2)^2    +  ( y-1)^2  = 4 + 4 + 1 = 9           '9' is equal to r^2  so r = 3

center = 2,1     radius = 3

Answer:

you're welcome!!!

Step-by-step explanation:


Here's a graph of a linear function. Write the
equation that describes that function.
bad
Express it in slope-intercept form.

Answers

The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

[tex]\rm m =\dfrac{3-0}{0-(-6)}\\[/tex]

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

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he given line passes through the points and (4, 1).

On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?

Answers

The equation of the line that passes through the point (-4 , 3) with slope ₋2 is:

y = ₋2x ₋ 5

Given the points are (₋4 , ₋3) and (4 , 1)

The gradient of the line through the points' locations (x₁ , y₁) and (x₂ , y₂) is:  y₂ ₋ y₁/x₂ ₋ x₁

Substitute the given points in the above formula:

=1 ₋(₋3)/4 ₋ (₋4)

=4/8

=1/2

If the product of the slopes of two perpendicular lines is -1, then the slope of the perpendicular line is ₋1/1/2 = ₋2

Therefore the line that passes through the point (-4 , 3) with slope ₋2 has equation:

y ₋ 3 = ₋2(x ₊ 4)

y = ₋2x ₋ 8 ₊ 3

y = ₋2x ₋ 5

Hence we get the expression as y = ₋2x ₋ 5

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use the graph below to answer this question: find the average rate of change for the given function from x=1 to x=2.

Answers

Answer: D. 2

Step-by-step explanation:

The question is asking for the rate of change from x=1 to x=2. Remember that the rate of change is also the slope, which can be seen as [tex]\frac{rise}{run} or \frac{y}{x}[/tex]. The rise would be going up/down the graph and the run would go left/right of the graph. Let's look at where x=1 and x=2 on the graph.

First, look at where the line falls between x=1 and x=2. Then, on where x=1, go up, then right on the graph, until you find the point where x=2. In this case, the rise over run is [tex]\frac{2}{1}[/tex]. This can be simplified to 2.

Therefore, the answer is 2.

I hope this helps!! Pls mark brainliest :))

Jaime adds equations A and B to solve this system of equations. Why is this method
generally valid for solving a system of equations?

Answers

The elimination method is valid for the system of equation because the y term cancels.

How to solve a system of equation using elimination method?

The system of equation can be solved using elimination methods.

Therefore,

x - 2y = 3

3x + 2y = 17

Hence,

x + 3x  = 4x

-2y + 2y = 0

3 + 17 = 20

Therefore,

4x = 20

The y term cancels. Therefore, we can solve for x and later solve for y.

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Answer:

Adding a quantity like x – 2y to one side of an equation and another quantity like 3 to the other side maintains the equality if the two quantities are equal.

Which point is on the graph of f(x) = 3.4x

Answers

Answer:

D(1,12)

Step-by-step explanation:

See attached graph.

A shop sells the same type of nails in 3
different sized packets.
Calculate the price per 10 nails for each
size of pack.
Write down which sized packet is the
best value for money in the comment
box.

Answers

Answer:

52, 53, 54, pack 1.

Step-by-step explanation:

1)

1.56 = 30

10 = 1.56 / 3

10 = 52 pence

2)

2.12 = 40

10 = 2.12 / 4

10 = 53 pence

3)

3.78 = 70

10 = 3.78 / 7

10 = 54 pence

The cheapest one is the small pack

How many positive odd integers less than 10,000 can be written using the digits
3, 4, 8, 9 and 0?

Answers

125 positive odd integers

Explanation:

I was given this question before and remember it. I assure you 125 is the correct answer.

Find the HCF of
x^2y and x

Answers

The highest common factor of [tex]x^2 y[/tex] and [tex]x[/tex] is [tex]\boxed{x}[/tex]

What is true about △ABC? Select three options

AB ⊥ AC

The triangle is a right triangle.

The triangle is an isosceles triangle.

The triangle is an equilateral triangle.

BC ∥ AC

Answers

Answer: Isosceles triangle

Step-by-step explanation: Two of the base sides are equal distance away. (Sides AB and AC)

Ann cleans 9 vessels in 10 minutes and her friend Kathy cleans 12 vessels in 14 minutes. Who cleans less number of vessels?

Answers

Answer:

Kathy

Step-by-step explanation:

Kathy—————————126
Ann————————120

Which of them factored 12x^7 correctly?

Answers

The one on the left

Please I need help with this question asap

Answers

For the matrix given , the element a₂₃ is the number at 2nd row and 3 column ,which is 6 , Option B is the correct answer.

What is a Matrix ?

It is a table or a rectangular array of numbers or expressions arranged in rows and columns ,

For a Matrix of m x n , m is the no. of rows and n is the no. of column

For the matrix given the element a₂₃ is the number at 2nd row and 3 column ,

which is 6 ,

Therefore Option B is the correct answer.

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By rounding to 1 significant figure, estimate the answers to these questions:
a)346 × 904
b) 2451 × 988
c)3204 × 7756

Answers

Answer:

a) 270000

b) 2000000

c) 24000000

Step-by-step explanation:

For a)

346 to 1 s.f is 300

904 to 1 s.f is 900

300 × 900 = 270000

For b)

2451 to 1 s.f is 2000

988 to 1 s.f is 1000

2000 × 1000 = 2000000

For c)

3204 to 1 s.f is 3000

7756 to 1 s.f is 8000

3000 × 8000 = 24000000

Hope this helped and have a good day

Which if the following rules best describes the matrix below?
a.
dilation of scale factor 2
c. reflection over the line y = x
b. reflection over the y-axis
d. translation 1 unit left and 1 unit up

Answers

Answer:

D

Step-by-step explanation:

i just know i guess

need help asap willing to give a lot of points!

Answers

Answer:

[tex]\fbox {See below} \downarrow[/tex]

Step-by-step explanation:

Question 1

Part (a) :

⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ

⇒ 6⁷ = 6ˣ

x = 7

Part (b) :

⇒ y² = 169

⇒ √y² = √169

⇒ y = ± 13

y = 13, y = -13

Question 2

Part (a) :

⇒ (√5)² × (√3)²

⇒ 5 × 3

15

Part (b) :

⇒ (∛9)³ × (√30)²

⇒ 9 × 30

270

In a market survey, 100 traders sell fruits, 40 sell apples, 46 oranges, 50 mangoes. 14 apples and oranges. 15 apples and mangoes, and 10 sell the three fruits. Each of the 100 traders sells at least one of the three fruits. Find the number that sell oranges and mangoes only.​

Answers

The number of traders that sell oranges and mangoes only are 17.

How to determine the common difference

Since there are three sets, use the formula

n (A∪O∪M) = n(A) + n(O) + n(M) - n(A∩O) -n(O∩M) - n(A∩M) + n(A∩O∩M)

A represents apple traders = 40

O represents orange traders = 46

M represents mangoes traders = 50

A∪O∪M = total traders = 100

A∩O = 14

O∩M = ?

A∩M = 15

A∩O∩M = 10

Substitute values into the formula

100 = 40 + 46 + 50 - 14 - 15 - O∩M + 10

100 = 146 - 29 - O∩M

100 = 117 - O∩M

Make O∩M subject of formula

- O∩M = 100 -117

O∩M = 17 traders

Therefore, the number of traders that sell oranges and mangoes only are 17.

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can someone please help and explain its due in a littleee

Answers

Answer:

slope = 3

y-intercept: -4

explanation on how to graph given in step-by-step explanation

Step-by-step explanation:

y=3x-4 is given in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept (when x = 0)

So the first coordinate that is easy to graph is the y-intercept since it's just (0, b) or in this case (0, -4). So that's the first point you graph. Now from here you can use the slope to graph all the other points. The slope is 3, which essentially means every time x increases by 1, the y-value increases by 3. So from the y-intercept (0, -4) you're going to go one unit to the right and three units up which should give you the coordinates (1, -1). Then from that coordinate go one unit to the right and three units up which should get you (2, 2) then from that coordinate go one unit to the right and three units up which should get you to (3, 5). Now go back the y-intercept (0, -4) and instead of going to the right 1 and up 3 you're going to do the inverse and instead go left 1 and down 3. So from (0, -4) go to the left one unit and down 3 units which should get you to (-1, -7). And now with all these points plotted draw a line through all of them

A laptop costs £600
Students get a 5% discount.
How much discount will a student get?

Answers

Answer:

cost price = £ 600

discount = 5%

selling price =

5/100 * 600.

5 * 6

30 £

price = 600 - 30

= 570

Answer: £570

Step-by-Step Solution:

Initial Price (I.P) = £600
Discount Rate for Students (D.R) = 5%

Discounted Price = I.P - D.R

Therefore,
= 5/100 * 600
= 5 * 6
=> 30

5% of I.P = £30

Therefore,
= 600 - 30
=> 570

Discounted Price = £570

On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2

Answers

The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2

How to compare the areas?

The coordinates are given as:

Parallelogram 1: (0, 2), (2, 6), (6, 4), and (4, 0).

Parallelogram 2: (2, 0), (4, -6), (2, -8), and (0, -2)

Next, calculate the base and the height

For parallelogram 1, we have:

Base = (0, 2) and (2, 6)

Height = (6, 4), and (4, 0).

So, we have:

[tex]Base = \sqrt{(0 - 2)^2 + (2 -6)^2} = \sqrt{20}[/tex]

[tex]Height = \sqrt{(6 - 4)^2 + (4 -0)^2} = \sqrt{20}[/tex]

The area is:

Area = Base * Height

Area = √20 * √20

Area = 20

For parallelogram 2, we have:

Base = (0, -2) and (4, -6)

Height = (4, -6) and (2, -8)

So, we have:

[tex]Base = \sqrt{(0 -4)^2 + (-2 +6)^2} = \sqrt{32}[/tex]

[tex]Height = \sqrt{(4 - 2)^2 + (-6 +8)^2} = \sqrt{8}[/tex]

The area is:

Area = Base * Height

Area = √32 * √8

Area = 16

By comparing both areas, we have:

20 is greater than 16 by 4

This means that the area of parallelogram 1 is greater by 4 units

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120 is the product of 8 and Julie's score.

Answers

Answer:

Julie's score is 15.

Step-by-step explanation:

This can be solved in two ways:

⇒ 120 ÷ 8

⇒ Experimentation on what × 8 = 120 (adding random numbers until you get 120 as a product).

Let's use the first method.

⇒ 120 ÷ 8

         1 5

   __________

8 |  1  2 0

   -     8

        ____

        4    0

       - 4  0

      ____

       0

Therefore, Julie's score is 15.

A basketball coach recorded how many shots each of the 30 players at tryouts made in a set of 6 attempts.

Answers

Answer:

Step-by-step explanation:

what is the question?

Answer:

Median = A

Mean = B

Step-by-step explanation:

Khan Academy

How many solutions for x does the following equation have?

3(x + 8) − 1 = 3x + 4

A.
4
B.
1
C.
0
D.
infinite

Answers

Answer:

c. 0

Step-by-step explanation:

3(x+8) - 1 = 3x+4

3x+24-1 = 3x+4

3x+23 = 3x+4

There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.

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