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3 years ago

Which of the following pairs consist of equivalent fractions?

Mathematics

1 answer:

cestrela7 [59]3 years ago

3 0

Answer:

Step-by-step explanation:

a is incorrect because

20/32=10/16=5/8

b is incorrect because

10/7=1.42 and 7/10=0.7 which don't equal each other

c is incorrect because

4/6 equals 2/3 not 3/5

d is correct because,

18/48=15/40

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A nature center charges $35.25

gregori [183]

Answer: 12 yearly admissions and 38 single admissions

Step-by-step explanation:

Let x be yearly membership

Let y be single admission

x+y=50 --> # of tickets sold

35.25x+6.25y=660.50 --> $ of tickets

Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)

-3525x-3525y=-176250

+ 3525+625y=66050

-----------------------------------

-2900y=-110200

y=38

Substitute y=38 into equation 1

x+38=50

x=12

Therefore, 12 yearly admissions and 38 single admissions were sold

4 0

3 years ago

The distance an object travels is determined by how fast it goes and for how long it moves. If an object’s speed remains constan

max2010maxim [7]

Answer:

d = r * t

r = 50 mph

this will be very easy.

d = r * t

r = 50 mph

t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.

6 0

3 years ago

Find The last two digit of 36^2015

olga nikolaevna [1]

Answer:

Step-by-step explanation:

The last two digits of powers of 36 repeat in a pattern of length 5:

36^1 mod 100 = 36

36^2 mod 100 = 96

36^3 mod 100 = 56

36^4 mod 100 = 16

36^5 mod 100 = 76

36^6 mod 100 = 36

The last two digits of the power 2015 are the same as those of the 5th power: 76.

5 0

3 years ago

Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

3 years ago

Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many

Andrej [43]

Answer:

Step-by-step explanation:

Shanice =88

If greg won x pieces of gum, and 88 was 4 more than twice as many as Greg

2x+4=88

2x=84

x=42

8 0

3 years ago