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V125BC [204]
3 years ago
13

The scale on a map is 1 cm : 6.5 mi. The actual distance between Amelia's school and her house is 45 miles. How far apart are th

ey on the map?
Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

about 6.9 cm

Step-by-step explanation:

Set up a proportion to solve this problem.

1 cm is to 6.5 miles as x cm is to 45 miles

1/6.5 = x/45           now solve for x by cross multiplying

45 = 6.5x

45/6.5 = x    

  6.923076923 cm = x

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How many ounces of honey dew melons are needed to make 400 ounces of fruit salsa using a ratio of 8 ounces to make 32 ounces of
Julli [10]
Due to the conditions, my answer would be 100.
3 0
3 years ago
Fill in the steps to solve the log log base x of (2x)^3=6​
arsen [322]

Answer:

x=2

Step-by-step explanation:

logx (2x)^3 = 6

We can rewrite without the exponent

3 logx (2x) = 6

Divide by 3

3/3 logx (2x) = 6/3

logx (2x) = 2

Raise each side to the base x

x^ logx (2x) =x^ 2

2x = x^2

Subtract 2x from each side

2x-2x = x^2 -2x

0 = x^2 -2x

Factor an x

0 = x(x-2)

Using the zero product property

x =0 x-2 =0

x =0  x=2

We cannot have a base of 0, so x cannot equal 0

x=2

6 0
3 years ago
Sam read 20% of the book on Monday and 0.2 of the book on Tuesday. If he read 50% of the remainder on Wednesday and still had 36
KonstantinChe [14]
Okay first you need to convert 0.2 to a percentage which would be 20% then 20% + 20% = 40% then it says he read 50%, 50% of 36 means that you have to multiply 36 two times to get, 72 then you do 72 * 40% = 28.8 = 29 + 72 = 101 pages in all then 101- 40%= 60.6 is how many pages were read on Monday and Tuesday.
8 0
3 years ago
Kelly was asked to determine whether △KLN is congruent to △MNL. She noted that KL ≅ MN, LM ≅ KN, and that the three pairs of cor
Art [367]

Answer:

<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>

Step-by-step explanation:

To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.

  • Angle-Angle-Side Theorem (AAS theorem).
  • Hypotenuse-Leg Theorem (HL theorem).
  • Side-Side-Side Postulate (SSS postulate).
  • Angle-Side-Angle Postulate (ASA postulate).
  • Side-Angle-Side Postulate (SAS postulate).

In this case, Kelly SAS postulate, because the corresponding sides-angles-sides are congruent, i.e., KL ≅ MN and LM ≅ KN, also, all corresponding angles are congruent.

So, as you can see, only using SAS postulate, the congruency can be demonstrated. (Refer to the image attached to see an example of SAS postulate)

8 0
3 years ago
What is the surface area, in square centimeters, of the rectangular prism below?
german

Answer: A. 724

Step-by-step explanation:

4 0
3 years ago
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