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cestrela7 [59]
2 years ago
12

Harry is trying to complete his hill walking scouts badge. He is using a map with a scale of 1 cm : 2 km. To earn the badge he n

eeds to walk 14 km. What is the distance he needs to walk on the map?
Mathematics
1 answer:
Maurinko [17]2 years ago
6 0

Answer:

7 cm

Step-by-step explanation:

14 / 2 = 7 cm

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On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

\dfrac{1116.5+r}{12}=98.04

We can now solve for r algebraically, first by multiplying both sides by 12:

1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

r=1176.48-1116.5\\r=59.98

6 0
2 years ago
What is the perimeter of the triangle below? Round to the nearest hundredth.
Keith_Richards [23]

You're going to need to use Pythagoras' theorem to work this one out!

As you know, the perimeter of a triangle is just all the lengths of the sides added up.

We'll start with side AC first. We can see that A is (-8, -4) and C is (-6, -2). That means to get from A to C, we need to go 2 units to the right, and 2 units up. Which means we have our two sides to work out the length from Pythagoras' theorem. 2² + 2² = c², c = √8.

Now we'll move onto side AB. We already know A is (-8, -4) from above, and B is (-7, -8). That means to get from A to B, we have to go 4 units down, and 1 unit to the right. So once again: 4² + 1² = c², c = √17.

Lastly, we'll work out side BC. We know that B is (-7, -8) and C is (-6, -2). That means to get to C from B, we have to go 1 unit to the right and 6 units up. So, again: 1² + 6² = c², c = √37.

Now that we have all of our lengths, we simply just add them up!

√8 + √17 + √37 ≈ 13.03 units.

(I've also attached something to help you visualise how I worked it out.)

6 0
3 years ago
Solve for y.<br> 2x-3y=9
cluponka [151]

Answer:

y = 2/3x - 3

Step-by-step explanation:

Step 1: Write equation

2x - 3y = 9

Step 2: Solve for <em>y</em>

  1. Subtract 2x on both sides: -3y = 9 - 2x
  2. Divide both sides by -3: y = -3 + 2/3x
  3. Rewrite: y = 2/3x - 3
6 0
3 years ago
4 + h - 8 - h expression
Bond [772]
4+h+-8+-h

(h+-h)+(4+-8)

Answer is =-4
6 0
3 years ago
WILL NAME BRAINLIST!!
Novosadov [1.4K]

Answer:

D

Step-by-step explanation:

The fourth graph makes sense, and follows Deepak's equation. To check if a graph follows an equation, all you have to do is substitute the values of x and y into the equation and see if they follow the equation.

3 0
3 years ago
Read 2 more answers
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