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Igoryamba
3 years ago
9

1) Divide £10 into the ratio 2 : 3

Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

£4 and £6

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

So, 2x and 3x are the two parts of £10.

Hence,

2x + 3x = 10

5x = 10

x = 10/5

x = 2

2x = 2*2 = 4

3x = 3*2 = 6

Hence, the two parts of £10 are £4 and £6.

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A customer would like a wall constructed that is 4 feet high. If the bricklayer wants to use all of the 1,820 bricks that he has
yan [13]

Answer: 7,280

Step-by-step explanation:

If we take the wall that is feet high and use 1,820 bricks we multiply to get the answer of 7,280. ;) Hope this helps

3 0
3 years ago
Can someone explain this?
Cerrena [4.2K]
<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. 324=0.042x+16

<h2>Why?</h2>

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

-18=-\sqrt{0.042x+16}

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333

Hence, we found the the missing step is:

D. 324=0.042x+16

Have a nice day!

4 0
3 years ago
A public relations firm found that only 27% of voters in a certain state are satisfied with their U.S. senators. How large a sam
OLga [1]

Answer:

a) 38

Step-by-step explanation:

The normal distribution can be applied if:

np \geq 5 and n(1-p) \geq 5

In this question:

p = 0.27

Then

a) 38

n = 38.

Then

38*0.27 = 10.26

38*0.73 = 27.74

Satisfies. But is this the smallest sample of the options which satisfies.

b) 14

n = 14

Then

14*0.23 = 3.22

14*0.77 = 10.78

Does not satisfy

c) 10

Smaller than 14, which also does not satisfy, so 10 does not satisfy.

d) 48

Greater than 38, which already satisfies. So the answer is a)

8 0
3 years ago
In his 2011 State of the Union Address, President Barack Obama said:
sweet [91]

Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!
NeX [460]

This is a tough one hope you get it

6 0
3 years ago
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