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3 years ago

Help me please please please please

Mathematics

2 answers:

Oxana [17]3 years ago

6 0

Answer:

d. (-14) + (-8)

a. (-14) + 8

Step-by-step explanation:

(-14) - 8 is equal to (-14) + (-8) because we still add two negative values so the result wouldn't change.

(-14) - (-8) is equal to (-14) + 8 because there's two negative sign in front of 8 and two negative values multiplied makes a positive result.

Lelu [443]3 years ago

5 0

Answer:

1. D

2. A

Step-by-step explanation:

1. It asks you what expression has the same value as (-14)-8. All you need to do is find other equations that have the same value as that. So the equation is -14-8. IF a negative is outside a parenthesis with a positive number inside like -(+5), it is going to be -5. If it's both negative: -(-5), it will be +5. If it is both positive: +(+5), it is going to be +5.

IMPORTANT!

- and + = -

- and - = +

+ and + = +

What we are looking for: -14-8

So choice A is (-14)+8 which is simplified to -14+8. So, this one isn't right.

Choice B: 14-(-8)= 14+8. So, it's incorrect.

Choice C: 14+(-8)= 14-8. Again, it's not -14-8 so it's not right.

Choice D: (-14)+(-8)= -14-8. This equation matches the one we are looking for! So it's correct!

2. Same thing as number 1. Let's simplify the equation it wants us to find first.

(-14)-(-8)= -14+8

So -14+8 is what we are looking for.

Choice A: (-14)+8= -14+8. It matches! So it is correct. Let's look at the other options anyway.

Choice B: 14-(-8)= 14+8. Nope. Not right.

Choice C: 14+(-8)= 14-8 because - always beats +. So, this one is also incorrect.

Choice D: (-14)+(-8)= -14-8. Oops, this is also wrong. So choice A is the right answer.

Keep in mind, when you start getting questions like this with numbers inside the parenthesis as well, you want to remember the same rules for positive and negative, but also multiply the numbers together:

(When there is a number outside and inside a parentheses, multiply them.)

2(5)=10, CORRECT! 2+(5) is not 2 times 5. It's whatever is closest to the parentheses, in this case being the positive sign. So + and 5 is just 5!

IMPORTANT!

-2(-5)= - and - is positive, so positive (2 times 5). Positive 10.

-2(+5)= - and + is negative, so negative (2 times 5). Negative 10.

+2(+5)= + and + is positive, so positive (2 times 5). Positive 10.

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harkovskaia [24]

Given:

The equation of a circle is:

$(x-3)^2+y^2=32$

To find:

Center and the circumference of the circle.

Solution:

The standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$ ...(i)

Where, (h,k) is center and r is the radius.

We have,

$(x-3)^2+y^2=32$ ...(ii)

On comparing (i) and (ii), we get

$h=3,y=0,r=\sqrt{32}$

So, the center of the circle is (3,0) and the radius of the circle is $\sqrt{32}$ .

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3 0

3 years ago

Sue makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 1:4. Yellow paint is s

Lostsunrise [7]

Answer:

Sue's percentage profit = 9% on each tin of green paint she sells.

Step-by-step explanation:

Litres of green paints mixed = 50 litres

Ratio of litres of yellow paint and litres of blue paint = 1:4.

To determine the litres of yellow paint, we say:

$yellow \: paint = \frac{1}{4} \times 50 = 10 \: litres$

To determine the litres of blue paint, we say:

$blue \: paint = \frac{4}{5} \times 50 = 40 \: litres$

Since yellow paint is sold in 5 litres per tin and each tin cost £38; she has 10 litres of yellow paint in all. That implies that she has 10/5 = 2 tin of yellow paint. If one tin cost £38; 2 tin cost 2 × £38 = £76

Similarly,

Since blue paint is sold in 10 litres per tin and each tin cost £58; she has 40 litres of blue paint in all. That implies that she has 40/10 = 4 tin of blue paint. If one tin cost £58; 4 tin cost 4 × £58 = £232

Total cost of yellow and blue paints = £232 + £76

= £308

Since Sue sells all the green paint she makes in 10 litre tins at £89.32 per tin and she has 50 litres in all; we say: 50/10 litres = 5 tins = 5 × £89.32 = £446.60.

Thus, selling price of the green paint = £446.60

$profit \: \% = \frac{selling \: price - cost \: price}{cost \: price} \times \frac{100}{1}$

$profit \: \% = \frac{446.60 - 308}{308} \times \frac{100}{1}$

$profit \: \% = \frac{138.60}{308} \times \frac{100}{1}$

$profit \: \% = 0.45 \times 100$

$profit \: \% = 45\%$

Sue's percentage profit for selling all the tins of green paint is 45%, having sold 5 tins. Therefore, Sue's percentage profit for selling each of the paint will be:

$profit \: \% \: on \: each \: green \: tin = \frac{45}{5} = 9\%$

Hence, Sue's percentage profit for selling each tin of green paint is 9%.

Proof

9% × 5 tins of green paint = 45%

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