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Jobisdone [24]
3 years ago
8

Which of these numbers is between 5/6 and 1? (A) 4/5 (B) 4/7 (C)6/7

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0
Two basic ways in which to do this problem:

1.  Find and apply the LCD.

2.  Convert all of the given numbers to their decimal form, to 2 or 3 places only.

Try #2 first:

5/6 = 0.83    

4/5 = 0.80 is not between 5/6 and 1.  Reject it.
4/7 = 0.57 Reject
6/7 = 0.86 This is between 5/6 and1.  This is the answer.

 
You might be interested in
Suppose a city with population 600,000 has been growing at a rate of 3​% per year. If this rate​ continues, find the population
andrezito [222]

Answer:

The answer should be around 1,149663 (Rounded off to the nearest whole number. Also if a population has a remainer you usually add it as 1. This is because these are people)

Step-by-step explanation:

First step involves listing the formulas being used:

600,000= population, 0.03= growth rate 22years= period

Therefore, we take the 600,000 and multiply by 1+0.03 ^22(to the power of 22 or period)

So, 600,000(1+0.03)^22

=1,149662.045 /1,149663

Hope this helps!

6 0
3 years ago
11. Sarah claims that (x - 4) is a factor of p(x) = x2 +8x - 48.Which equation must
velikii [3]

Answer:

d) p(4) = 0.

Step-by-step explanation:

p(4) = 0:-

p(4) = 4^2 + 8(4) - 48

= 16 + 32 - 48

= 0.

This is an application of the Factor Theorem ( a special case of The Remainder Theorem)

The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.

7 0
3 years ago
Given \qquad m \angle LONm∠LONm, angle, L, O, N is a straight angle. \qquad m \angle MON = 8x - 13^\circm∠MON=8x−13 ∘ m, angle,
Tamiku [17]

Answer:

<h3>\boxed{99°}</h3><h3 />

Step-by-step explanation:

m<MON = 8x - 13°

m<LOM = 7x - 17°

To find : m <MON

First, we have to find the value of x :

Create an equation

\mathrm{8x - 13 + 7x - 17 = 180} ( sum of angle in straight line )

Collect like terms

\mathrm{15x - 13 - 17 = 180}

Calculate

\mathrm{15x - 30 = 180}

Move constant to R.H.S and change its sign

\mathrm{15x = 180 + 30}

Calculate the sum

\mathrm{15x = 210}

Divide both sides of the equation by 15

\mathrm{ \frac{15x}{15}  =  \frac{210}{15} }

Calculate

\mathrm{x = 14}

Now, let's find the value of m<MON

\mathrm{8x - 13}

Plug the value of x

\mathrm{ = 8 \times 14 - 13}

Calculate the product

\mathrm{ = 112 - 13}

Calculate the difference

\mathrm{ = 99} °

Hope I helped!

Best regards!

6 0
3 years ago
A ladder is resting against a wall. The ladder and the ground make an angle of 42.5° and the ladder is 10 feet long. How far awa
MA_775_DIABLO [31]
Cosα=x/L

x=Lcosα, we are told the ladder is 10ft and α=42.5 so

x=10cos42.5° ft

x≈7.37 ft (to nearest hundredth of a foot)

3 0
3 years ago
6. Find the sum or difference.<br> (6g - 3) - (4g + 5)
Tomtit [17]
The answer is 2g - 8
3 0
3 years ago
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