Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.

a. What percentage of gold is 21 carat?

b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?

Answer:

y=18 and (2y+6) measures 42 the answer for obtuse 138  the last one is 46

Answer:

The range within 1 standard deviation :155.12 ,328.38

Step-by-step explanation:

Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]

[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]

Mean =241.75

[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]

Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]

Standard deviation =86.63

Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]

Range within 1 standard deviation :(241.75-86.63,241.75+86.63)

Range within 1 standard deviation :155.12 ,328.38

Hence The range within 1 standard deviation :155.12 ,328.38

Answer:

The answer would be 12.571428571 units or 12.57units.

Answer:

2.4 hours

Step-by-step explanation:

after an hour the distance between them will be 80+70=150 miles

1 hour  .......150 m

x hours .......360 m

x*150=360

x=360/150

x=2.4 hours

Answer: 2.4 hours

Step-by-step explanation:

Distance = speed x time

1st train = 80t

2nd train = 70t

80t + 70t = 360

t = 360/150 = 2.4 hours

Answer:

[tex]=2xy+6x^2-6x[/tex]

Step-by-step explanation:

[tex]-2x\left(-y-3x+3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2x\right)\left(-y\right)+\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:3\\\mathrm{Apply\:minus-plus\:rules}\\\left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a\\=2xy+2\cdot \:3xx-2\cdot \:3x\\\mathrm{Simplify}\:2xy+2\cdot \:3xx-2\cdot \:3x:\quad 2xy+6x^2-6x\\2xy+2\cdot \:3xx-2\cdot \:3x\\2\cdot \:3xx=6x^2\\2\cdot \:3x=6x\\=2xy+6x^2-6x[/tex]

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

The answer is A  triangle with 45 degrees, 45 degrees, and 90 degrees

Step-by-step explanation:

Answer: no solution

Step-by-step explanation: 4/5z - 1/5z = 3/5z

3/5z + 4 = 3/5z + 6

No solution

Answer:

[tex]$z=-\frac{48}{55} $[/tex]

It has one solution.

Step-by-step explanation:

[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]

Once we have fractions we already know the values when the equation is not true. I'm talking about division when the denominator is 0. It is undefined.

The values for [tex]z[/tex] are:

[tex]$0 ; -\frac{4}{5} \text{ and } -\frac{6}{5} $[/tex]

Now let's find [tex]z[/tex]. First, we have to find the least common multiplier:

In this case: [tex](5z+4)(5z+6)(5z)[/tex]

[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]

[tex]$\frac{4(5z+4)(5z+6)}{(5z+4)(5z+6)(5z)}-\frac{1(5z)(5z+6)}{(5z+4)(5z+6)(5z)}=\frac{3(5z)(5z+4)}{(5z+4)(5z+6)(5z)} $[/tex]

I will not proceed in the way above because it would take some time to type, instead, multiply [tex](5z+4)(5z+6)(5z)[/tex] both sides.

[tex]4(5z+4)(5z+6)-1(5z)(5z+6)=3(5z)(5z+4)[/tex]

[tex](20z+16)(5z+6)-(5z)(5z+6)=15z(5z+4)[/tex]

[tex]100z^2+200z+96-25z^2-30z=75z^2+60z[/tex]

[tex]200z+96-30z=60z[/tex]

[tex]200z-90z=-96[/tex]

[tex]110z=-96[/tex]

[tex]$z=-\frac{96}{110} $[/tex]

[tex]$z=-\frac{48}{55} $[/tex]

Answer:

5(4x+3)

5×4x + 5×3

20x+15

Answer:

h = mt

Step-by-step explanation:

Answers:

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

1. -2

2. 18

3. -2

Step-by-step explanation:

In the following explanations "x" is a variable which represents "a number" given in the problems.

1. You can set up a simple equation " x + 7 = 5 " because you are increasing a number to get the answer. From there you can subtract 5-7 and you'll get -2, the answer to the first one.

2. This time the number is decreased by 6, and the answer is 12. Since it's being decreased, you'll set up the equation like this: " x - 6 = 12 ". For this problem you can do 12 + 6 = 18, which is your answer.

3. A number "added" to -3 is -5. The number following 'is' will almost always be the answer you're looking for, so we can do x + (-3) = -5 . From there just add 3 to each side, and you'll get -2 + (-3) = -5.

If you take one thing away from this, let it be the following:

The methods that I used do work, but something I'd suggest trying in the future is carrying over the same number to the other side of the equation.

If you're struggling on these problems, this might help.

The way this works is simple, lets say you have this equation:

x + 5 = 10

The best and most efficient way of solving this problem is by taking a number from one side, and moving it to the other side. It seems confusing at first, but isn't all that hard once you figure it out. So for this problem:

x + 5 = 10

   - 5   -5

Now you only have 'x' on the left side of the equation. This is the end goal. Once you get x on one side of the equation, the answer tends to be on the other side.

So:

x + 5 = 10

   - 5   -5

x + 0 = 5      <- this is what you want.

x = 5

Hope this helps, and hope you learned more from this then an hour and a half at school :P

Answer:

fourth option

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus

x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )

Answer:

D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]

Step-by-step explanation:

Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.

sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.

Answer:

y=3/2x+11/2

Step-by-step explanation:

divide the whole thing by 2

2y=3x+11 divided by 2 equals

y-3/2x+11/2

then just plug in the 3 points

Answer:

Option 2

Step-by-step explanation:

Group 2 does have a greater median. And group 1 is less spread out

Answer:

(1/4 x 1 ) = 0.25

or (1/4) x 1 = 0.25

Step-by-step explanation:

We are doing the opposite to finding 25%

Which is 1/4 of 100%

We do this an opposite (not as inverse)

To find percentage increase as you can compare below.

or as percentage increase

230 x 0.25 (x 100) = 287.50  

Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.

Answer:

Use a calculator or use long division. See long division below.

Step-by-step explanation:

Use a calculator or use long division.

Long division:

               ------------------------------

        4     |  1

4 does not go into 1, so add a decimal pace to 1.

                    0.

                   ------------------------------

            4    |  1.0

4 goes into 10 2 times.

                      0.2

                   ------------------------------

             4    |  1.0

             -          8

           --------------

                        2

There is a remainder, so bring down another 0.

                      0.2

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

4 goes into 20 5 times.

                    0.25

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

               -        20

             --------------

                            0

The remainder is zero.

1/4 = 0.25

Answer:

No solutions.

Step-by-step explanation:

y = 5/2x + 2

2y = 5x + 8

Plug the first equation into the second.

2(5/2x + 2) = 5x +8

5x + 4 = 5x + 8

5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.

Answer:

Picture 1 x = 43°

Step-by-step explanation:

Picture 1 - When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle.

180 - 47-90= 43° = x

Answer:

42

Step-by-step explanation:

In a rectangle, the diagonals have the same length. Therefore:

[tex]3x+6=5x-18 \\\\3x+24=5x \\\\ 24=2x \\\\x=12 \\\\BD=5(12)-18=60-18=42[/tex]

Hope this helps!

Answer:

BD = 42

x=12 is found below as a way to find x

We can find 42 by adding together the equations

3x+6 = 5x-18

+18 = 5x(-3x-6)

18 + 6 = 2x

24 = 2x

x= 12  

We can then plug in for 5x and 3x

as BD = 5x-18 = 3x+6

5(12) = 60 -18 = 42 and 3(12) =36+6 = 42

To find line BD = 42

Step-by-step explanation:

3x+6= 42

3x = 42-6

3x = 36

x = 12

5x-18 = 60

5x = 60- 18

5x = 42

x=12

The conversion factor used to convert inches to yards is: 36 inches in 1 yard.

Answer:

B

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ), thus

J(0, - 3 ) → J'(- 3, 0 )

K(- 1, 0 ) → K'(0, - 1 )

L(- 2, - 1 ) → L'(- 1, - 2 )

Answer:

yee its B

Step-by-step explanation:

Answer:

r = 1.75

Step-by-step explanation:

The common ratio r is found by dividing a term in the sequence by the previous term, that is

112 ÷ 64 = 1.75

196 ÷ 112 = 1.75

343 ÷ 196 = 1.75

The common ratio r = 1.75

Answer:

B

Step-by-step explanation:

Answer:

40 boxes

Step-by-step explanation:

box = 24 x 15 x 10 = 3600 cm

1 paper clip box = 6 x 3 x 5 = 90 cm

3600/90 = 40

so 40 boxes of paper clips will fit

Answer:

40 boxes

box = 24 x 15 x 10 = 3600 cm

A paper clip box = 6 x 3 x 5 = 90 cm

3600/90 = 40

so 40 boxes of paper clips

Answer:

200 mL shampoo - 1050 ml water

500 mL shampoo - 2625 mL water

Step-by-step explanation:

1) 400 ml shampoo , should be mixed 2500 - 400 = 2100 mL of water.

2) 400 mL shampoo - 2100 mL water

    200 mL shampoo -  x mL water

x = 200*2100/400 = 1050 mL water

3) 400 mL shampoo - 2100 mL water

   500 mL shampoo - x  mL water

  x = 500*2100/400 = 2625 mL water

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

rotation

Step-by-step explanation:

Answer:

[tex]11111111_{2} =255_{10}[/tex]

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111.

[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]

Answer:1111111

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111

===================================================

Explanation:

Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = 5^2

9+16 = 25

25 = 25

We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2

This confirms a 3-4-5 triangle is a right triangle.

------

The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.

We can also see that choice D is a non-answer as well.

------

Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.

Let's see what happens when a = 8, b = 14, c = 17

a^2+b^2 = c^2

8^2+14^2 = 17^2

64+196 = 289

260 = 289 .... false equation

We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.

Answer:

B

Step-by-step explanation:

You can use an equation from physics to help with this.

[tex]v_f=v_o+at[/tex]

Since the initial velocity is 0, you can set up the following equation:

[tex]v_f=0+(10)(5)\\\\v_f=50\neq 100[/tex]

Hope this helps!

Answer:

dont get mad  if I got it wrong but I think its C

Answer:

11

Step-by-step explanation:

11