A jeweler has a fixed amount of gold to make bracelets and necklaces. The amount ofgold in each bracelet is 6 grams and the amount of gold in each necklace is 20 grams.
How much gold, in grams, would it take to make 7 bracelets and 9 necklaces? How
much gold, in grams, would it take to make b bracelets and n necklaces?

Answers

Answer 1

Answer:

Answer:

222

Step-by-step explanation:7x6=42 20x9=180 42+180=222

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It costs $3.56 to buy a pack of pencils. Which of the following equations shows the amount of money needed, x, to buy k packs of pencils?x = 3.56k k = 3.56x x = 3.56 + k k = 3.56 + x
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The surface area of a prism is 125 in2. Which statements are true about the same prism measured in square feet? Choose all answers that are correct. A. The number representing the surface area would decrease. B. The number representing the surface area would increase. C. The actual surface area would decrease. D. The actual surface area would increase. E. The actual surface area would stay the same.

Please help, thank you!

Answers

Answer:

I think B

Step-by-step explanation:

Answer:

A.) 0.32

Step-by-step explanation:

$√(16)$ is 4 but h = 2 which is 1/2 of the answer

so $√(40)$ is 6.324 and 0.32 is the closet answer

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (2, 5), (6, 1), (4, –1)

A.
(0, 2)

B.
(0, 3)

C.
(1, 3)

D.
(1, 4)

Answers

The distance between (2,5) and (6,1) is:

$\sf Distance = √(\left( 6 - 2 \right)^2 + \left( 1 - 5 \right)^2) \n\n =√( 16 + 16) \n \n = \boxed{\bf{4 √( 2 ) }}$

The distance between the fourth vertex and (4,-1) should also be 4√2

The only point that gives us that distance is B. (0,3)

$\sf Distance = √(\left( 4 - 0 \right)^2 + \left( -1 - 3 \right)^2) \n \n= √( 16 + 16) \n \n = \boxed{\bf{4 √( 2 ) }}$

Your final answer is B. (0,3)

There are 25 gold cards and 25 silver cards in a deck. The gold cards are number 1,3,5,.....49 and the silver cards are numbered 2,4,6,.....50. The cards are thoroughly shuffled and one card is randomly selected.A.) Find the probability of selecting a gold card or a card with a multiple of 10 on it.
B.) Find the probability of selecting a silver card or a card with a multiple of 7 on it.

Answers

A. There are 25 gold cards, and 5 silver cards with a multiple of 10, so the probability is (25+5)/50=0.6.

B. There are 25 silver cards and 4 gold cards with a multiple of 7 (7, 21, 35, and 49), so the probability is (25+4)/50=0.58.

Solutions

There are 25 gold cards and 25 silver cards in a deck. The gold cards are number 1,3,5,.....49 and the silver cards are numbered 2,4,6,.....50.

A. The probability would be (25+5)/50=0.6.

B.we know that there are 25 silver cards and 4 gold cards with a multiple of 7, so the probability would be (25+4)/50=0.58.

What is percent is 14 out of 25?

Answers

Answer:

56%

Step-by-step explanation:

14/25=0.56=56%

Answer:

The answer is 56

Step-by-step explanation:

Percentage Calculator: 14 is what percent of 25? = 56.

Please help me. Attached is a picture of a triangle. I need to find the length of X through the Pythagorean theorem. Can you explain how to do this? I need to do numbers 30-32. But if you can just do one that would help greatly!

Answers

First, let's make sure you know what Pythagoras said.
It's very important, mainly because it's so useful:

   In any RIGHT triangle, the square of the longest side
   is the sum of the squares of the other two sides.

Now let's look at #30:

This is two right triangles back-to-back.

'x' is the longest side of the one on the left, but we can't
   solve for 'x' yet because we only know one of the other sides.

But look at the right triangle on the right side. We know the
longest side, and the vertical one, so we can find the base of it.

   (longest side)² = (one short side)² + (the other short side)²

(15)² = (9)² + (the base)²

Subtract (9)² from each side:

   (The base)² = (15)² - (9)²

   (The base)² = 225 - 81 = 144

   The base = √144 = 12 .

Do you see where we are now ?
The base of the right half is 12,
   so the base of the left half is (25 - 12) = 13 .

Pythagoras again, on the left half:

   x² = (13)² + (9)²

   x² = 169 + 81 = 250

   x = √250 = (√25)·(√10) = 5 √10 .
________________________________

#31:

Again, two right triangles back to back.
You know two sides in each one.
So you can find the base of each one, then add the bases to get 'x'.

Left half: (Base)² = (10)² - (6)²
   (Base)² = 100 - 36 = 64
      Base = √64 <== you know what that is

Right half: (Base)² = (7)² - (6)²
      (Base)² = 49   - 36 = 13
   Base    = √13

   x = sum of the two bases = √64 + √13 .
_________________________________

#32:
Two right triangles again.
Not back to back.

Right half: (Missing leg)² = (7)² - (2)²
(Missing leg)² = 49 - 4 = 45
   Missing leg = √45 = (√9)·(√5) = 3 √5 .

Left half: The longest side is 3√5 .

      x² + (5)² = (3√5)²

I'm sure you got the idea by now.

All ball is thrown into the air with an upward velocity of 24 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+24t+7. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball's maximum height?

Answers

//I'm going to use differentiation to show you how to do this, although I would normally use mechanics.

dh/dt = -32t + 24
-32t + 24 = 0 when maximum
32t = 24
t = 24/32
t = 3/4

//To find the maximum height just substitute "t" in

h = -16 (9/16) + 24(3/4) + 7
h = -9 + 18 + 7
h = 16ft

Answer:

0.75 s; 16 ft

Step-by-step explanation:

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