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Helga [31]
3 years ago
12

Find the circumference of the figure.

Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Answer:

About 23.9 in

Step-by-step explanation:

We are given ;

a circle whose radius is 3.8 inches

we are required to determine the circumference

The circumference is given by the formula;

=2πr

Therefore;

Circumference = 2×3.14×3.8 in

                       =23.864 in

                      = 23.9 in

Therefore, the circumference of the figure is about 23.9 in

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Dons signature coffee blend is 60% dark roast and 40% light roast. He has 10 kg of blend A, which is 80% dark roast and 20% ligh
astraxan [27]

Answer

Find out the how many kilograms of blend A will don need to use to make 10 kg of his signature blend .

To proof

As given

Dons signature coffee blend is 60% dark roast and 40% light roast.

He has 10 kg

60 % is written in the decimal form

= \frac{60}{100}

= 0.6

40 % is written in the decimal form

= \frac{40}{100}

= 0.4

Now 60% dark roast of  10 kg = 0.6 ×10

                                                 = 6 kg

Now 40% of  10 kg = 0.4 × 10

                               = 4 kg

As given

He has 10 kg of blend A, which is 80% dark roast and 20% light roast  i.e 80% of the 6kg is dark roast and 20% of the  4kg is light roast .

80% is written in the decimal form

= \frac{80}{100}

= 0.8

80% of the 6kg is dark roast = 0.8 × 6

                                                = 4.8 kg

20% is written in the decimal form

= \frac{20}{100}

= 0.2

20% of the 4kg is light roast = 0.2 × 4

                                               = .8kg

Total kilograms of blend A will don need to use to make 10 kg of his signature blend =  4.8 kg + .8 kg

                          = 5.6 kg

Hence proved




 


8 0
3 years ago
Write the phrase as an expression. Then evaluate the expression when $y=20$ . the quotient of 40 and the difference of a number
Bad White [126]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, firstly the Quotient has to divide the answer, and then the response in subtraction is the difference.

\to \frac{40}{( y - 16)} \\\\\\\to \frac{40}{( 20 - 16)} = \frac{40}{4}= 10

7 0
3 years ago
What is the solution to -4x+12&lt;36?<br><br> A- x&lt;-6<br> B- x&gt;-6<br> C- x&gt;6<br> D-x&lt;6
Karolina [17]

Answer:

B- x > -6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

-4x + 12 < 36

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 12 on both sides:                       -4x < 24
  2. [Division Property of Equality] Divide -4 on both sides:                                x > -6
3 0
3 years ago
What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(x + 5)? A) translate vertically 5 units u
tresset_1 [31]

Answer:

C) translate horizontally 5 units left

Step-by-step explanation:

f(x + 5)

Is a change in domain

The graph of f(x) is shifted 5 units towards the left to obtain the graph of f(x+5)

6 0
3 years ago
Read 2 more answers
Please help me! worth 35 points!
Debora [2.8K]

Answer:

1. 72, 2. 36, 3. 80, 4. 54

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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