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musickatia [10]
4 years ago
12

Jim is running on a trail that is 5/4 of a mile long. so far he has run 2/3 of the trail. how many miles does he have left to ru

n
Mathematics
1 answer:
kirill115 [55]4 years ago
8 0
5/4 - 2/3 =
15/12 - 8/12 =
7/12 of a mile left <==
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An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th
7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b =  2500   ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115     ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a =  $500

Put this value of a in eq 1

500 + b =  2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0
3 years ago
Janae found PointA located at ,(-2,5) and c is located at (6,1) . What would be the x coordinate of point b that bisects A and C
Alexxandr [17]

A point that bisects a segment would be its midpoint. This is a case where the vocabulary  (bisect as opposed to midpoint) makes it harder.

To find the midpoint, we use the midpoint formula. The midpoint formula is:

midpoint = (x₁ + x₂/2, y₁ + y/2). To find it, you add the x coordinates and then divide them by 2. Repeat for the y coordinates.

x: (-2 + 6)/2 = 4/2 = 2

y: (5 +1)/2 = 6/2 = 3


Thus the point B bisecting AC is at (2, 3).

8 0
3 years ago
If 20 is added to the data set below, which statement will be true?<br> 50, 55, 55, 60, 62
ANTONII [103]

Answer:

the answer will be 50 I think

8 0
3 years ago
What is the area of ΔABC? Round to the nearest tenth of a square unit.
kramer
<span><u><em>Answer:</em></u>
8.4 square units

<u><em>Explanation:</em></u>
<u>The area of the triangle can be calculated using two sides and an included angle as follows:</u>
area = 0.5 * 1st side * 2nd side * sin(angle included between them)
............> This is shown in the attached image

<u>In the given triangle, we have:</u>
the two sides 2*</span>√2<span> and 6 units
the angle included between them is 80</span>°<span>

Therefore, we can apply the above rule to get the area as follows:
area = 0.5 * 2</span>√2 <span>*6* sin(80</span>°<span>)
area = 8.35 which is approximately 8.4 square units

Hope this helps :)</span>

4 0
3 years ago
Read 2 more answers
Help on the last thx!
xeze [42]
Looks like you did it backwards, hope this was helpful!!

8 0
3 years ago
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