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Elanso [62]
3 years ago
5

Write this ratio as a fraction in simplest form. 2 1/3: 4 1/2

Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0
2/3:2 = 1/3:1 The last one is in simplest form.
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Determine the correct scientific notation form of the number.
Dahasolnce [82]

0.000000084

we need to move the decimal 8 places to the right

8.4* 10^-8

3 0
3 years ago
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A park measures 85.5 square yards. A family rents 3/10 of that area to host a birthday party. How large is the area that the fam
motikmotik

Answer:

25.65 square yards

Step-by-step explanation:

The area is 85.5 yd^2

He rents 3/10ths

Multiply the area  by the fractional part he rents

85.5 * 3/10

256.5/10

25.65 yd^2

4 0
3 years ago
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Write the sentence as an absolute value inequality, then solve the inequality: A number “n” is more than 9 units from 3
Helga [31]

Answer:

absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12

Step-by-step explanation:

I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)

So an absolute value inequality must be written like this:  

| x - a | *inequality* b

a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.  

Now, you will have this:

|x - 3| *inequality* 9

Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).

So now we're at:

|x - 3| > 9

To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:

x<-6 and x>12

Hope this is helpful!

6 0
3 years ago
Find the value of x in the triangle shown below.
otez555 [7]

Answer:

Thus, the value of x in the given triangle is 55°

Step-by-step explanation:

Given - Dimensions of triangle and angles

of triangle

Find - Value of x

Solution - The value of x in the given triangle is 55°.

As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.

Thus, the mathematical expression of all the angles of a given triangle will be -

x + x + 80 = 190

2x + 80 = 190

2x = 190 - 80

2x = 110

x = 110/2

x = 55°

.

3 0
2 years ago
32 ÷ 4 x (16 x 1/2) -2
Anika [276]

32 ÷ 4 x (16 x 1/2) -2

= 32 ÷ 4 × 8 -2

= 8 × 8 - 2 = 64-2

= 62

3 0
2 years ago
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