A jeweler sells gems at a cost in dollars per centigram that is 4 more than 6 times the weight of the gem in centigrams.
Thus, a gem that weighs w centigrams will be sold at a price of 6w + 4 dollars per centigram - meaning that a larger,
heavier gem will cost more per centigram than a smaller gem. If the jeweler sold a single gem for about $2500, what
did the gem weigh to the nearest centigram?

Answers

Answer 1

Answer:

416 centigrams

Step-by-step explanation:

2500 = 6w + 4

2496 = 6w

416 = w


Related Questions

Solve the following problem:

Given: △SAL, SA = LA

AT − ∠bisector

Prove: m∠L = m∠S

Answers

Answer:

[tex]\angle L=\angle S[/tex] using congruence rule

Step-by-step explanation:

Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]

To prove: [tex]\angle L=\angle S[/tex]

Proof:

Two triangles are congruent if they have same shape and same size.

Consider triangles ALT and AST

AL = AS

As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]

AT = AT (common side)

So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )

Here, SAS denotes side-angle-side

[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)

Hence proved

Explanation:

First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.

Since A = A, we can remove A and it gives us m∠L = m∠S.

If you need to show work in math terms, your answer should look something like this:

1. △ ALT ≅ △AST - SAS

2. AL ≅ AS - Given

3. m∠ L ≅ m∠S

Hope this helped!

Help me I will give you brainliest!!!!

Answers

Answer:

2/36

Step-by-step explanation:

There are 36 possibilities when rolling a die

There are 2 that sum to 11

P (sum of 11) =  sum of 11/ total

                      =2/36

                        1/18

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.

Answers

Answer:

[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

[tex]X \sim Binom(n=2, p=0.01)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]

And we can find the probability:

[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]

And replacing we got:

[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]

(3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)

Answers

Answer: [tex]-2x^3-14x^2+7x-4[/tex]

Step-by-step explanation:

[tex](3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)[/tex]

Distribute the negative sign.

[tex](3x^3-2x^2+4x-8)-5x^3-12x^2+3x+4[/tex]

Remove the other parentheses.

[tex]3x^3-2x^2+4x-8-5x^3-12x^2+3x+4[/tex]

Combine like terms.

[tex]-2x^3-14x^2+7x-4[/tex]

a real number line can represent both real and imaginary numbers

True or false ?

Answers

Answer:

True

Step-by-step explanation:

True is the answer to this question

The Choco soda company offers canned drinks that hold
a volume of 56.52 in and measqre 8 inches tall. What i
the radius of their cans? Round your answer to the
nearest tenth.

Answers

Answer:

1.5 inches

Step-by-step explanation:

56.52/ 8 = 7.065

7.065 / pi =2.248859346

square root of 2.248859346 = 1.5

r = 1.5

Answer:

1.5 inches

Step-by-step explanation:

The surface area of which composite figure is the sum of the areas of eight triangular faces?
VX
O two rectangular pyramids joined at their congruent bases
two rectangular pyramids joined at two congruent lateral faces
O two triangular prisms joined at their congruent bases
two triangular prisms joined at two congruent lateral faces

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area?

Answers

Answer:

16.0%

Step-by-step explanation:

Surface area of a cylinder in terms of pi

Answers

The answer is B, 304 pi inches^2

plz help

(2x/0.25)−0.525=7.475

what's x?

Answers

Answer:

i used calculator and got 1

Step-by-step explanation:

I did the same thing and I also got X=1

three-fourths the square of a number

Answers

Answer:

i think it is D i am sorry if it is wrong

Step-by-step explanation:

what is the surface of the square pyramid ?

A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)

Answers

Answer:

D. 20,250 square yards

Step-by-step explanation:

Base + 4 triangles

(75×75) + 4(½×75×97.5)

5626 + 14625

20250 yd²

A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate and the area of the circular flower bed

Answers

Answer:

31.4

Step-by-step explanation:

im not good at math idk if i would trust my answer

but what i did was multiply 10 by pi

area of circle is =pie r^2 so you calculate A= pie 5^2 Area is 78.54

Can some one help me???

Answers

Answer:

You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even

Step-by-step explanation:

without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct​

Answers

Answer:

The shapes are the same, just one is sideways. They also have very similar measurements.

Step-by-step explanation:

Even so, when we check this we get:

(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2

when simplified (solved) this is: 18 3/8 = 18 3/8

What is the area of the triangle?

A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches

Answers

The answer is D = 12 square inches

Answer:

The answer is A. 6 square inches

Step-by-step explanation:

The area of a triangle is half the product of the height and base

Please help! I will give you brainliest !

Answers

Answer:

70 and 21

Step-by-step explanation:

6parts of the ratio represents 84 students

Divide 84 by 6 to find the value of one part of the ratio

84 ÷ 6 = 14 ← value of 1 part of the ratio, thus

5 parts = 5 × 14 = 70 ← number of Michigan students

Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21

PLEASE HELP ME
10 points

Answers

Answer:

Between -2 and 0

Step-by-step explanation:

The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?

Answers

Answer:

The area of sector is [tex]25.12 miles^2[/tex]

Step-by-step explanation:

Radius of circle = 4 miles

We are supposed to find the area of a sector bounded by a 180 arc

[tex]\theta = 180^{\circ}[/tex]

Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]

Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]

Area of sector = [tex]25.12 miles^2[/tex]

Hence The area of sector is [tex]25.12 miles^2[/tex]

Find the Slope. (Slopes are incredibly difficult for me at the time could you help??)

Answers

Answer:

[tex]\frac{rise}{run} =\frac{4}{1} =4[/tex]

Step-by-step explanation:

Picture attached PLEASE HELP

Answers

Answer:

3

Step-by-step explanation:

The x value is half of the y value on this chart.

Evaluate b - (-1/8) + c where b = 2 and c = - 7/4

Answers

Answer:

3/8 = 0.375

Step-by-step explanation:

Substitute the values of b and c

2+1/8-7/4

16/8 + 1/8 - 14/8= 3/8

Answer:

the answer is 3/8

Step-by-step explanation:

it's from khan



E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.

Answers

Answer:

A

Step-by-step explanation:

Divide both sides of the equation by c²

Hunter assumed he would get 64 problems correct on his test, but he actually got 78 correct. What was his percent error? Round to the nearest percent

Answers

Answer:

=82%

Step-by-step explanation:

64:78*100=82%

Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x

Answers

Answer:

ln(216[tex]x^{4}[/tex] )

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

log [tex]x^{n}[/tex] ⇔ n log x

Given

3ln6 + 4lnx

= ln 6³ + ln[tex]x^{4}[/tex]

= ln (216[tex]x^{4}[/tex] )

In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%

Answers

Answer:

50%

Step-by-step explanation:

The mean ideally should be in the exact middle

PLEASE HELP ME! I'm really confusedddddddd!

Answers

Answer:

1) Negative (because y value decreases from left to right)

2) Undefined (a vertical line has undefined slope because it fails the vertical line test infinite times)

3) Positive (because y value increases from left to right)

Step-by-step explanation:

Adam and Martha each performed a simulation.
Adam's simulation
• He tossed a fair coin 4 times.
• Each time the coin landed with tails face up.
Martha's simulation
• She randomly chose 1 block from each of two bags containing blocks.
• Each block she chose was labeled with the letter R.
The probability for both Adam's and Martha's simulation were the same. Which two bags could be the
ones Martha used in her simulation?

Answers

Answer:

Its D

Step-by-step explanation:

Jocelyn has 6 birds. Their mean age is 10. The mode of their age is 8 . What might there ages be ??.

Subject - Math ( Mean, Median, and Mode ) PLZ write the answer correctly !! The best answer will be marked as Braintlies !!

Answers

Answer:

total ages = 60

Generally, if the mode is 8 would mean there are more than one age of 8

suppose there are two with age 8,

leaving 44 for the other 4

(11 for the average of the remaining 4)

could have 9 and 13, and 8 and 14

so we could have:

8,8,8,9,13,14

or we could have:

8,8,9,10,12,13

check:of the 1st answer

mean = (8+8+8+9+13+14)/6 = 10

the mode is 8

Step-by-step explanation:

The mean is all the 6 birds ages added together then divided by how many of the birds there is. The mode is the most occurring number.
Because there is 6 birds having all the ages add up to 60 then dividing it by the 6 will give you the mean 10.
When making those numbers you need to make sure that you have multiple 8’s because that is the mode which means the most occurring number.
The answer could be :
8+8+8+13+12+11
8+8+8+8+18+10
And many more

Can someone pls help

Answers

Answer:

a=he went back home

b=speed=240km/h

Step-by-step explanation:

ps: wouldn't mind brainliest

Answer:

a) Jo moved 1 kn from her starting position at minute 10

b) 0.13 km/min

Step-by-step explanation:

Look at the picture

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