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Serjik [45]
2 years ago
15

A store is having a sale on jelly beans and almonds. For 2 pounds of jelly beans and 3 pounds of almonds, the total cost is $11.

For 4 pounds of jelly beans and 8 pounds of almonds, the total cost is $25. Find them cost for each jelly beans and each pound of almonds.
Mathematics
1 answer:
KIM [24]2 years ago
4 0
$4.25 for a pound of jelly beans
$1 for a pound of almonds
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In ΔRST, r = 210 inches, t = 550 inches and ∠T=166°. Find all possible values of ∠R, to the nearest degree.
valkas [14]

Answer:

m(∠R) = 5°

Step-by-step explanation:

By applying sine rule in the given triangle RST.

\frac{\text{sin}(\angle R)}{ST}= \frac{\text{sin}(\angle T)}{SR}

\frac{\text{sin}(\angle R)}{r}= \frac{\text{sin}(\angle T)}{t}

\frac{\text{sin}(\angle R)}{210}= \frac{\text{sin}(166)}{550}

sin(∠R) = \frac{210\times \text{sin}(166)}{550}

           = 0.09237

m(∠R) = \text{sin}^{-1}(0.09237)

           = 5.3°

           ≈ 5°

4 0
3 years ago
A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
skad [1K]

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

<u>GIVEN :-</u>

  • A man is 5 times as old as his son. (In Present)
  • 4 years ago , the man was 13 times as old as his son

<u>TO FIND :-</u>

  • The present ages of the man & his son.

<u>SOLUTION :-</u>

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

=> 5x - 4 = 13(x - 4)

Now , solve the equation.

  • Open the brackets in R.H.S.

=> 5x - 4 = 13x - 52

  • Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

=> 13x - 5x = 52 - 4

=> 8x = 48

  • Divide both the sides by 8

=> \frac{8x}{8} = \frac{48}{8}

=> x = 6

<u>CONCLUSION :-</u>

Age of son = 6 years

Age of man = 5×6 = 30 years

8 0
2 years ago
In the diagram, the measure of angle 6 is 98°. A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the a
ser-zykov [4K]

Answer: 82°

Step-by-step explanation:

6 = 98°

180° - 98° = <em><u>82°</u></em>

3 0
2 years ago
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Ella sold 37 necklaces for $20 each at the craft fair. She is going to donate half of the money she earned to charity. Use the C
atroni [7]
370 because 740 halved is 370

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3 years ago
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Which of the following is an odd function??
Novay_Z [31]

Answer:

f(x)=5x^2 + 9

Step-by-step explanation:

all numbers are odd

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