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3 years ago

One-half the sum of x,y, and z

1 answer:

3 0

The keyword is "sum" which tells you x, y, and z are being added. One half of the sum means that the sum of the three numbers is going to be divided by 2.

x + y + z
------------
2

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I NEED HELP WITH MATH<br><br>Question: (In the pic)

storchak [24]

Inequality, because want to know when we'll make a profit.
$d (- 680+ 960) \geqslant 52000 \\ 280d \geqslant 52000$
Profit: Let's See When 280d equals 52000

$d \geqslant \frac{52000}{280} \\ d \geqslant 185.71$
So, after 190 days Julianne will make a profit
$280(190) \geqslant 52000 \\ 53200$

8 0

3 years ago

A bottle contains 255 coins. 1/3 of the coins are ?1.00. 110 of the coins are 50p coins. the rest are 20p coins. work out the to

aliina [53]

Answer:

£152.

Step-by-step explanation:

We have been given that a bottle contains 255 coins. 1/3 of the coins are £1.00.

Let us find 1/3 of 255 to find the number of £1 coins.

$\£1\text{ coins}=\frac{1}{3}\times 255$

$\£1\text{ coins}=85$

This means we have £85.

We are also told that 110 of the coins are 50 p coins.

$\text{Value of 50 p coins}=\£0.50\times 110$

$\text{Value of 50 p coins}=\£55$

Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.

$\text{Number of 20 p coins}=255-(85+110)$

$\text{Number of 20 p coins}=255-(195)$

$\text{Number of 20 p coins}=60$

$\text{Value of 20 p coins}=\£0.20\times 60$

$\text{Value of 20 p coins}=\£12$

Now let us find total value of the coins contained in the bottle by adding the values of £1 coins, 50 p coins and 20 p coins.

$\text{The total value of the coins}=\£85+\£55+\£12$

$\text{The total value of the coins}=\£152$

Therefore, the total value of the coins contained in the bottle is £152.

4 0

3 years ago

Read 2 more answers

A rhombus has sides 11cm long the shorter diagonal of the rhombus is 8cm long find the size of the smaller angles of the rhombus

ZanzabumX [31]

Answer:

42.64°

Step-by-step explanation:

Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.

From the diagram attached,

sinθ = opposite/adjacent

sinθ = 4/11

θ = sin⁻¹(4/11)

θ = 21.32

Therefore, from the diagram,

The smaller angle of the rhombus = 2θ

The smaller angle of the rhombus = (2×21.32)

The smaller angle of the rhombus = 42.64°