joe has a ring weighing 14 grams made of an alloy of 14 % silver and the rest gold. he decides to melt down the rings and add enough silver to reduce the gold content to 68 % . how many grams of silver should he add?

Solution

- We can plot the coordinates given using a graphing calculator as shown below:

- From the above, we can see that the sides are equal and the looks like a diamond

- Thus, the quadrilateral is a Rhombus

- Since all the angles are 90 degrees, it is also a square only that it was rotated.

- A square is a special type of rectangle, thus, the shape is also a rectangle

- A parallelogram as its opposite sides parallel and opposite angles equal. This is the same with our figure. Thus, it is also a parallelogram

[tex]3(2y+1)[/tex] I believe is the solution you seek.

You factor 3 out of 6y + 3, leaving you with the solution.

Hope this helps!

The mean hourly snowfall is (5/3) centimeters per hour, which means that each hour there are 5/3 centimeters more of snow.

The mean hourly snowfall is given by the quotient between difference between the total snowfall at the two given times and the total time.

Here we have:

Initial snowfall = 2cm

Final snowfall = 7cm

Difference = 7cm - 2cm = 5cm

And that happens between 1 P.M. and 4 P.M., so we have 3 hours.

Then the mean hourly snowfall is:

M = 5cm/3h = (5/3) centimeters per hour.

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Answer:

3 us cups

Step-by-step explanation:

multiply by 2

Answer:

44

Step-by-step explanation:

Let the number of eggs be N, and the weight be M

M is directly proportional to N.

.: M= kN

264 = 6k

.; k(the constant of proportionality is) = 264/6

k = 44.

Answer:

John had 8 apples. He gave away 4. How many apples does he have left?

Step-by-step explanation: First, an arrow added 8 on the number line. Then, another arrow took away 4.  

Answer:

x+2=3

collect like terms

x=3-2

x=1

x-12=x+30

collect like terms

x-x=30-12

=18

2(x+6)=2x+12

open bracket

2x+12=2x-12

collect like terms

2x-2x=-12+12

=0

3(x-2)=3x-2

open bracket

3x-6=3x-2

collect like terms

3x-3x=-2+6

=4

Answer: 2.25 x 10^18

Step-by-step explanation:

When dividing with exponents you subtract

56-38= 18

10 cancels out

(9 x 10^18) / 4

= 2.25 x 10^18

Answer:

30.

Step-by-step explanation:

Apologies if I am late, but I believe this is the answer!

Answer: 9

Step-by-step explanation:

Answer:

The correct answer is C.

√32 or 4√2 is the missing length of the right angle triangle whose other 2 legs measure 4 by 4 units.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c = √( a² + b² )

Given the data in the diagram;

To determine the missing length, plug the given values into the formula above and solve for c.

c = √( a² + b² )

c = √( (4)² + (4)² )

c = √( 16 + 16 )

c = √( 32 )

Hypotenuse c = √32 or 4√2

Therefore, the missing length of the right angle triangle is √32.

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Answer:

a) 81

b) 16807

c) 100

d) 78125

PLEASE GIVE ME A BRAIN

If the function 5x+ y = 1 has the domain {-2, 1, 6}, then {11, -4, -29}  is the corresponding range  and the  answer to your question is: letter D

Function   5x + y = 1

Domain        {-2, 1, 6}

Process

Domain is the possible values of the independent variable.

Range is the values of the dependent variable.

Evaluate the function with each of the domain values to get "y"

When x = -2

 5(-2) + y = 1

  -10 + y = 1

   y = 10 + 1

     y = 11

When x = 1

 5(1) + y = 1

 5 + y = 1

 y = -5 + 1

  y = -4

When x = 6

5(6) + y = 1

30 + y =1

 y = 1 - 30

y =  -29

Range = { 11, -4 , -29}

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Answer:

c = -10

Step-by-step explanation:

Hello!

According to the question we need to solve for c in the equation -49 = 2c - 29

-49 = 2c - 29

Flip the equation

2c - 29 = -49

Add 29 to both sides

2c - 29 + 29 = -49 + 29

2c = -20

Divide both sides by 2 to single out the variable

2c/2 = -20/2

c = -10

So, the value of c is -10

Answer: 15/16 is written as 0.9375 in decimal form.

Step-by-step explanation:

To convert any fraction to decimal form, we just need to divide its numerator by the denominator.

Here, the fraction is 15/16 which means we need to perform 15 ÷ 16.

This gives the result 0.9375

= 15/16

= 15 ÷ 16

= 0.9375

By applying the Triangle Inequality Theorem, the number of non-identical triangles that can be made using the given side lengths is one.

In Mathematics, the Triangle Inequality Theorem can be defined as a type of theorem which states that the sum of any two (2) side lengths of a triangle must be greater than the measure of the third (2) side.

This ultimately implies that, the sum of the lengths of any two (2) sides of a triangle cannot be less than the length of the third (3) side of the triangle in accordance with the Triangle Inequality Theorem, as represented by this mathematical expression:

b - c < a < b + c

Where:

a, b, and c represent the side lengths of this triangle.

By applying the Triangle Inequality Theorem to the side lengths of this triangle, the number of non-identical triangles is given by:

5 + 7 > 10

12 > 10 (True).

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Answer:

2°C

Step-by-step explanation:

-3 + 5 = 11

Answer:

The temperature is 3°

Step-by-step explanation:

If we start at -3, then we go to -2, then -1, then 0, then 1 and then 2.

Range = 15

Variance = 24.5Explanations

Standard deviation = 5.0

The formula for calculating the range is expressed as:

Range = Highest value - Lowest value

Range = 24 - 9

Range = 15

Calculate the variance

The formula for calculating the variance is expressed as:

Find the mean

Determine the variance

Determine the standard deviation

Lauren will reach Andrea after 65 minutes of biking.

So, because Lauren is traveling at a speed that is one kilometer per minute slower than Andrea's and vice versa, Andrea's speed is 3/4 km/min and Lauren's is 1/4 km/min.

Lauren will have to bike the following kilometers in total:

Her speed being 1/4 km/min, the amount of time passed will be:

Therefore, Lauren will reach Andrea after 65 minutes of biking.

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Answer:

16/25

Step-by-step explanation:

1 3/5 = 8/5

8/5 x 2/5 = 16/25

Answer:

12 rolls, because 4.25 go into 20 , four times so u take 4 and multiply it by 3 and get 12.    

Using the distance formula, Jet will take 2.2 hours to catch up with the airplane.

We will find the solution using distance formula.

distance formula is a formula that is used to find the distance between two points. These points can be in any dimension.

d=rt where

d is distance r is rate or speed and t is time

"distance airplane traveled" = "distance jet traveled"

Let x = hours "airplane" was flying

x-1 = hours "jet" was flying

.

180x = 330(x-1)

180x = 330x - 330

180x + 330 = 330x

330 = 150x

330/150 = x

2.2 hours = x

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School A got 14 questions correct and School B got 14 questions correct.

The first step is to form a linear equations that represent the scores of the schools in the final round. A linear equation is an equation that has a single variable that is raised to the power of one. When graphed, a linear equation is usually a straight line.

Let x represent the number of correct and incorrect answers scored by School A

Total score at the end of the final round = beginning score + total scores of correct answers - total scores of incorrect answers

Total score at the end of the final round for School A :

87 + (12 ×x ) - (3 × x)

87 + 12x -3x

87 + 9x

Total score at the end of the final round for School B :

45 +  (12 ×x )

45 + 12x

If the two schools are tied, it means that both of the above expressions would be equal

45 +  12x = 87 + 9x

12x - 9x = 87 - 45

3x = 42

x = 42 / 3

x = 14

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Answer:

have a great day

Step-by-step explanation:

Answer: 38.8g of sugar

Step-by-step explanation:

9.7 x 4= 38.8

Answer:

[tex]\dfrac{1}{16}[/tex]

Step-by-step explanation:

Probability Distribution Table for X

Where X is the score on a fair, six-sided dice:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} x & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(X=x) \phantom{\dfrac11}&\frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} \\\cline{1-7}\end{array}[/tex]

Probability Distribution Table for Y

Where Y is the score on an unfair, six-sided dice, and the probabilities of rolling numbers 2, 3, 4, 5 and 6 are equal, and the probability of rolling a 1 has a different value:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} y & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(Y=y) \phantom{\dfrac11}&1-5k&k&k&k&k&k\\\cline{1-7}\end{array}[/tex]

Note:  The probabilities of all the possible values that a discrete random variable can take add up to 1.

The outcomes of rolling one 3 and one 4 are:

Given the probability of rolling one 3 and one 4 is ¹/₂₄:

[tex]\implies \text{P}(X=3)\; \text{and} \; \text{P}(Y=4) \; \text{or} \; \; \text{P}(X=4) \; \; \text{and} \; \; \text{P}(Y=3)=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{1}{6} \times k +\dfrac{1}{6} \times k=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{k}{6} + \dfrac{k}{6}=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{2k}{6}=\dfrac{1}{24}[/tex]

[tex]\implies 24(2k)=6[/tex]

[tex]\implies 48k=6[/tex]

[tex]\implies k=\dfrac{1}{8}[/tex]

Therefore:

[tex]\implies 1-5k=1-\dfrac{5}{8}=\dfrac{3}{8}[/tex]

Hence, the probability distribution table for the unfair 6-sided dice is:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} y & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(Y=y) \phantom{\dfrac11}&\frac{3}{8} & \frac{1}{8} & \frac{1}{8}& \frac{1}{8} & \frac{1}{8}& \frac{1}{8} \\\cline{1-7}\end{array}[/tex]

There is only one possible outcome of rolling two 1's, so the probability of rolling two 1's is:

[tex]\implies \text{P$(X=1)$ and P$(Y=1)$}=\dfrac{1}{6}\times\dfrac{3}{8}=\dfrac{3}{48}=\dfrac{1}{16}[/tex]

Note:  Please see attachment for the sample-space diagram showing the possible outcomes of rolling two dice. The possible outcomes of rolling one 3 and one 4 are highlighted in yellow. The possible outcome of rolling two 1's is highlighted in blue.

Answer:

X + e^(Y-5)/2

Step-by-step explanation:

X = 5^m

Y = 5^n

e^Y = n*e^5

n = e^(Y-5)

Check the picture below.

Answer:

x = 23 degrees

Step-by-step explanation:

Angle on a straight line = 180 degrees

therefore 180 - 75 = 105 degrees

105 + 52 = 157 degrees

Angle in a triangle is 180 degrees

therefore 180 - 157 = 23 degrees