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makkiz [27]
2 years ago
6

Find the length of BC. Round your answer to the nearest tenth.

Mathematics
1 answer:
Lyrx [107]2 years ago
6 0

Answer:

6.8cm

Step-by-step explanation:

I dont have an explanation

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Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?
riadik2000 [5.3K]

Answer:

  • 24-cent: 11
  • 33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

  33x +24(30 -x) = 891

  9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

  x = 19 . . . . . . . . . . . . divide by 9

  30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

<em>Additional comment</em>

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

  v2(x) +v1(N -x) = V

  x(v2 -v1) = V -v1·N

  x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

  x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

7 0
2 years ago
Marie has a recipe that calla for 2 1/4 cups of flour for 3 dozen cookies. How much would show needs to make 60 cookies
Masja [62]

Answer:

3 3/4 cups flour

Step-by-step explanation:

If Marie needs 2.25 cups of flour for 36 dozen cookies, then our equations would be:

2.25f = 36

f         = 16

3.75f  = 60

4 0
2 years ago
Read 2 more answers
The scatter plot shows a scuba diver's depth in the ocean. The equation of the trend link shown is y = -3.29x - 10. Predict what
TiliK225 [7]

<u>It's not given a scatter plot not the characteristics of the variables, but it can be safely assumed as shown below</u>

Answer:

<em>The diver's depth will be -42.9 after 30 minutes</em>

Step-by-step explanation:

The equation of the trend (or best fit line) for the scuba diver's depth in the ocean is:

y = -3.29x - 10

Where y is the diver's depth and x is the time in minutes.

To predict the diver's depth at x=30 minutes, substitute in the equation:

y = -3.29(10) - 10

y = -32.9 - 10

y = -42.9

Since no units are provided for y, the answer is:

The diver's depth will be -42.9 after 30 minutes

6 0
3 years ago
Please help!! Will mark Brainliest!!! 19 points
MA_775_DIABLO [31]
76 is right
4 \sqrt{1611391}
8 0
3 years ago
QUICK! WHAT IS THIS ANSWER?
FromTheMoon [43]

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

<h3>a)</h3>

we want to expand the following expression:

\displaystyle -   \frac{1}{4} ( - 8x + 12y)

well to do so we consider distributive property thus distribute:

\displaystyle -   \frac{1}{4} (- 8x )+  -  \frac{1}{4}( 12y)

reduce fraction which yields:

\displaystyle -   \frac{1}{4} (- 8x )+  -  \frac{1}{4}( 12y) \\  \\  \displaystyle 2x + ( - 3y)

simplify Parentheses:

\displaystyle \boxed{ 2x - 3y}

<h3>b)</h3>

in the expression there's a common factor of 4 therefore factor it out:

\displaystyle 9.4a - 4.4 \\  \\  \displaystyle   \boxed{4(9a - 4)}

3 0
3 years ago
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