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guapka [62]
2 years ago
8

Nar donated to 4 charities last year. She gave £175 to each of these charities. This year Rana wants to donate the same total am

ount between 6 charities. Each charity will receive an equal amount How much will each charity receive this year?
Mathematics
1 answer:
LekaFEV [45]2 years ago
7 0

Answer:

£116.67

Step-by-step explanation:

Given;

Nar donated to 4 charities last year. She gave £175 to each of these charities.

The total amount Nar donated is;

Nar = 4 × £175 = £700

For Rana to donate the same amount equally among 6 charity, to determine the amount each charity would receive this year, we need to divide the total amount by the number of charities;

A = £700/6

A = £116.67

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Which number line models the expression 1/8-(-3/4)
RideAnS [48]

Answer:

\frac{7}{8}

Step-by-step explanation:

Given: \frac{1}{8}-(\frac{-3}{4} )

To find: number which represents the expression

Solution:

Integers refers to natural numbers, 0 together with negative of rational numbers.

A rational number is the number of the form \frac{p}{q} where p and q are integers and q\neq 0 .

\frac{1}{8}-(\frac{-3}{4} )=\frac{1}{8}+\frac{3}{4}\\ =\frac{1+6}{8}\\ =\frac{7}{8}

So, \frac{7}{8} represents \frac{1}{8}-(\frac{-3}{4} )

6 0
2 years ago
Matthew has three brothers: Alex, Mark, and Luke. The sum of their three ages is 12. List all the different combinations of ages
arsen [322]

Answer:

Step-by-step explanation:

Let Alex's age = x

Mark's age = y

Luke's age = a

x + y + z = 12

The possible combinations for their age are

1. 6, 3, 3

2. 3, 3, 6

3. 4,4, 4

4, 2, 2, 8

5. 8, 2, 2

6. 2, 8, 2

7. 9, 2, 1

Etc the age can keep going as long as you can find any three numbers and add them to give you 12

3 0
2 years ago
You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spen
frez [133]
The first thing I would do is write an expression for the amount the limo will cost in terms of the number of miles you drive.  In this scenario, the cost=.15(mile)+700.
Now is the question, should the limo cost more or less than $750 to stay on budget?  The answer is you should spend less than $750.  Thus, when writing the inequality, or .15m+700<750.  However, you could spend exactly $750 so you inequality should really be .15m+700≤750.  Now you just need to solve this for the number of miles you can drive.  

First, subtract 700 from both sides and you are left with .15m≤50
Then divide both sides by .15 and you are left with m ≤ 333.33.  Thus, the limo can only travel 333.33 miles.
please make this the brainliest answer
5 0
2 years ago
List the first five terms of the sequence. a1 = 4, an+1 = 5an − 3
RUDIKE [14]

The recursive formula

a_{n+1} = 5a_n-3

is telling you that the next term in the sequence is five times the previous one, minus 3.

So, if we start with a_1=4, we have to multiply it by 5 and subtract 3 to get the next:

a_2 = 5a_1-3 = 5\cdot 4 - 3 = 20-3 = 17

And similarly we can obtain all the next terms:

a_3 = 5a_2-3 = 5\cdot 17 - 3 = 85-3 = 82

a_4 = 5a_3-3 = 5\cdot 82 - 3 = 410-3 = 407

a_5 = 5a_4-3 = 5\cdot 407 - 3 = 2035-3 = 2032

5 0
2 years ago
A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto
Gre4nikov [31]
\begin{cases}y=2x-2\\y=2x+2\end{cases}\implies\begin{cases}-2x+y=-2\\-2x+y=2\end{cases}

For these lines, let u=-2x+y.

\begin{cases}y=2-x\\y=4-x\end{cases}\implies\begin{cases}x+y=2\\x+y=4\end{cases}

And for these, let v=x+y.

Now,

\begin{cases}u=-2x+y\\v=x+y\end{cases}\implies \begin{bmatrix}u\\v\end{bmatrix}=\underbrace{\begin{bmatrix}-2&1\\1&1\end{bmatrix}}_{\mathbf T}\begin{bmatrix}x\\y\end{bmatrix}

The vertices of S in the x-y plane are (0, 2), (2/3, 10/3), (2, 2), and (4/3, 2/3). Applying \mathbf T to each of these yields, respectively, (2, 2), (2, 4), (-2, 4), and (-2, 2), which are the vertices of a rectangle whose sides are parallel to the u-v plane.
6 0
2 years ago
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