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Rudik [331]
3 years ago
14

In a bag of candy hearts the ratio of pink to green hearts is 3 to 5. If there are 35 green hearts, how many pink hearts are in

the bag?
Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

there are 21 pink hearts

Step-by-step explanation:

hope this helps

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-3(u+2)=5u-1+5(2u+1)
Mazyrski [523]

Answer:

u = -5/9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-3(u + 2) = 5u - 1 + 5(2u + 1)

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

  1. Distribute:                             -3u - 6 = 5u - 1 + 10u + 5
  2. Combine like terms:             -3u - 6 = 15u + 4
  3. Add 3u to both sides:          -6 = 18u + 4
  4. Subtract 4 on both sides:    -10 = 18u
  5. Divide 18 on both sides:      -10/18 = u
  6. Simplify:                                -5/9 = u
  7. Rewrite:                                 u = -5/9

<u>Step 3: Check</u>

<em>Plug in u into the original equation to verify it's a solution.</em>

  1. Substitute in <em>u</em>:                     -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
  2. Multiply:                                -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)
  3. Add:                                      -3(13/9) = -25/9 - 1 + 5(-1/9)
  4. Multiply:                                -13/3 = -25/9 - 1 - 5/9
  5. Subtract:                               -13/3 = -34/9 - 5/9
  6. Subtract:                               -13/3 = -13/3

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

3 0
3 years ago
Read 2 more answers
Acellus
lukranit [14]

Answer:

d = 14

Step-by-step explanation:

\sin \: 45 \degree =  \frac{a}{7 \sqrt{2} }  \\  \\a = 7 \sqrt{2}  \sin \: 45 \degree  \\  \\ a =  7\sqrt{2}   \times  \frac{1}{ \sqrt{2} }  \\  \\ a = 7 \\  \\  \sin \: 30 \degree =  \frac{a}{d}  \\  \\  \frac{1}{2}  =  \frac{7}{d}  \\  \\ d = 2 \times 7 \\  \\ d = 14

8 0
3 years ago
How do you do number 9?
Ket [755]
I think you just add all the sides even the ones you don't see. The left side of the shape is 6m as well as the right. and the same with the 4s. The answer is 36.
3 0
3 years ago
Read 2 more answers
Can the polynomial below be factored into a perfect square? If not, select the answer that best describes why not.
pickupchik [31]

Answer:

C. It cannot be factored into a perfect square.

Step-by-step explanation:

Take the square roots of all the numbers present (64, 49, 8) and you will find that 8, the constant, is not a perfect square.

8 0
3 years ago
Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc whe
Artemon [7]

Answer:

L=2l where l,L denote arc lengths of two circles

Step-by-step explanation:

Let l,L denote arc lengths of two circles, r,R denote corresponding radii and

\alpha _1\,,\alpha _2 denote the corresponding central angles.

So,

l=r\alpha _1 and L=R\alpha _2

This implies \alpha _1=\frac{l}{r} and \alpha _2=\frac{L}{R}

As each circle has an arc where the measures of the corresponding central angles are the same, \alpha _1=\alpha _2

\frac{l}{r}=\frac{L}{R}

As radius of one circle is twice the radius of the other circle,

R=2r

\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l

7 0
2 years ago
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