In a certain​ chemical, the ratio of zinc to copper is 3 to 13. A jar of the chemical contains 286 grams of copper. How many grams of zinc does it​ contain?

Answer:

[tex]5\frac{23}{64}\approx 5.36 [/tex] cubic meters.

Step-by-step explanation:

We have been given that the surface area of a cube is [tex]18\frac{3}{8}[/tex] square meters and we are asked to find the volume of the cube.

Since we know that surface area of a cube with each edge equals a units is:

[tex]\text{Total surface area of cube}=6a^2[/tex]

Let us find length of each edge using surface area formula.

[tex]18\frac{3}{8}=6a^2[/tex]

Let us convert our given area into mixed fraction.

[tex]\frac{147}{8}=6a^2[/tex]

Upon dividing both sides of our equation by 6 we will get,

[tex]\frac{147}{8*6}=a^2[/tex]

[tex]\frac{147}{48}=a^2[/tex]  

Upon taking square root of both sides we will get,

[tex]\frac{7\sqrt{3}}{4\sqrt{3}}=a[/tex]  

[tex]\frac{7}{4}=a[/tex]

Now we will use volume of cube formula with each side length 'a'.

[tex]\text{Volume of cube}=a^3[/tex]

[tex]\text{Volume of cube}=(\frac{7}{4})^3[/tex]

[tex]\text{Volume of cube}=\frac{343}{64}[/tex]

[tex]\text{Volume of cube}=5\frac{23}{64}[/tex]

[tex]\text{Volume of cube}=5.359375\approx 5.36[/tex]

Therefore, the volume of cube will be [tex]5\frac{23}{64}[/tex] cubic meters.

Answer:

[tex]P(x)=x^3-11x^2+43x-65[/tex]

Step-by-step explanation:

If the complex number [tex]3-2i[/tex] is a root of a cubic function, then the complex number [tex]3+2i[/tex] is a root too. Thus, the cubic function has three known roots [tex]5,\ 3-2i,\ 3+2i[/tex] and can be written as

[tex]P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.[/tex]

Answer:

Each adult ticket was $43

Step-by-step explanation:

2x+18.5 = 104.5

Simplify

2x = 86

x = $43

Answer:

the answer is 44

Step-by-step explanation:

the pattern is 4,5,6,7,8 so then you would add 9 to get 44

Final answer:

The pattern in the given list of numbers is that each number increases by consecutively larger increments of 1. By continuing this pattern, adding 9 to the last number (35), we determine the next number in the series to be 44.

Explanation:

The given list of numbers is 5, 9, 14, 20, 27, 35, and we are asked to identify the pattern to find the next number in the series.

Let's look at the differences between consecutive terms: 9 - 5 = 4, 14 - 9 = 5, 20 - 14 = 6, 27 - 20 = 7, 35 - 27 = 8.

We can see that with each step, the difference increases by 1. This pattern suggests that the next difference should be 9.

To find the next number, we add 9 to the last number in the series: 35 + 9 = 44. Therefore, the next number in the series is 44.

Answer:

They buy [tex]\frac{7}{8}[/tex] of cheese.

Step-by-step explanation:

When adding two fractions with the same denominator, you simply add the two numerators (numbers on top):

[tex]\frac{3}{8} + \frac{4}{8}  = \frac{7}{8}[/tex]

So they buy [tex]\frac{7}{8}[/tex] of cheese.

Answer:

q=135 degrees

p=45 degrees

Step-by-step explanation:

For q:

q is 135 degrees because alternate exterior angles are congruent when L1 is parallel to L2 intersected by L3.

For p:

p is 45 degrees because L2 is a straight line so it has a measurement of 180 degrees. So to find p you do 180 degrees-q.

Which is 180-135=45 degrees

Step-by-step explanation:

larger number = y

smaller number=x

y>2x+1

y<3x+6

Probably the first one, if I did this right.

To do this problem, you need to know how to read math, literally. The problem says that y is the larger number, so assume the smaller is x. So, y exceeds 2x by 1 (so, y>2x+1). then, it says 3x exceeds y by 6; therefore, 3x+6>y. I may have interpreted it wrong, though, so tell me if I made a mistake :))

Answer:

first one

A. y = 2x + 1 and 3x + 6 = y

Answer:

Since AG = GC then AD must equal DC

2x -3 = x +2

x = 5

Step-by-step explanation:

Answer:

Hello, Gayleayers!! The answer is x(4x+1)(7x+5)

Step-by-step explanation:

To check your answer, use the box method or foil, whichever you prefer. When you use it, leave out the x in front of the parenthesis. The answer will come to x(28x^2+27x+5), then distribute the x. You will get your original answer.

Have a great night and Happy New Year!!

Answer: x(7x + 5)(4x + 1)

Step-by-step explanation:

     28x³ + 27x² + 5x

= x(28x² + 27x + 5)

= x(28x² + 7x + 20x + 5)

= x[7x(4x + 1) + 5(4x + 1)]

= x(7x + 5)(4x + 1)

Answer:

28%

Step-by-step explanation:

Percentage mark up = (new - original) / original  * 100 %

     new = 704

     original =  550                              

Substituting these values in

     Percentage mark up = (704 - 550) / 550  * 100 %

                                         =154/550 * 100%

                                         =.28*100%

                                            28%

With a principal of $5,000, an interest rate of 3.8%, over 22 years, Jackson's principal will grow to $11,535

Given: principal is $5000, interest rate is 3.8% and it is compounded continuously

To find: amount when Jackson is 40 years old

To solve this problem, we use the formula for continuous compounding interest:

[tex]A = P \times e^{rt}[/tex]

where:

A is the total amount of money

P is the principal

r is the annual interest rate (decimal form, so 3.8% becomes 0.038)

t is the time in years

Time here will be 22 years as Jackson deposited the money when he was 18 years old. So, the difference of 40 and 18 gives us 22 years.

Now we can find the total amount by plugging in the values:

[tex]A = 5000 \times e^{0.038 \times 22}\\[/tex]

[tex]A= 5000 \times e^{0.836}\\[/tex]

[tex]A= 5000 \times 2.307\\[/tex]

[tex]A = 11535[/tex]

Therefore, Jackson's account will have $11,535 when he is 40 years old.

ANSWER: [tex]\frac{2}{-5}[/tex]

EXPLANATION:

We can use the slope formula and input the x and y values to solve for the slope.

[tex]\text{Slope Formula}: \frac{y_{2}-y_{1} }{x_{2}-x_{1}}=m[/tex]

[tex]\frac{5-3}{2-7}=m\\\text{Simplify.}\\\frac{2}{-5} =m[/tex]

The slope of the line is [tex]\frac{2}{-5}[/tex]

The slope of the line that passes through the points (2, 5) and (7, 3) is -2/5.

To find the slope of the line passing through the points (2, 5) and (7, 3), we can use the formula for slope:

The slope of the line that passes through the points (2, 5) and (7, 3) can be calculated using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Plugging in the values, we get:

Slope (m) = (3 - 5) / (7 - 2) = -2/5

Therefore, the slope of the line is -2/5.

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Hello!

Answer:

249

Step-by-step explanation:

83

 3  x

___

249

Hope this helps! ~Pooch ♥

Answer:

61.60

Step-by-step explanation:

Answer:

The answer is $61.60

Step-by-step explanation

The wholesale price is 44$, but it will be marked up 40% which in decimal form is .40. You multiply that by 44 to get 17.6, and since its mark up you add that number to 44 to get $61.6

Answer:

[tex]\frac{4}{10}(-\frac{1}{4} c+1)[/tex]

Step-by-step explanation:

To factor the expression [tex]\frac{-4}{40}c+\frac{12}{30}[/tex] we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into the values. We start to find it by factoring each term's coefficient:

[tex]\frac{2*2}{2*2*2*5}[/tex]

[tex]\frac{2*2*3}{2*3*5}[/tex]

We notice both have 2*2 in the numerator and 2*5 in the denominator. This is our GCF.

[tex]\frac{2*2}{2*5}=\frac{4}{10}[/tex]

We now write the expression 4/10(____+_____). We find the inside of the parenthesis by dividing the coefficients by the GCF. This is also the remaining factors which are not part of the GCF.

[tex]\frac{1}{2*2}=\frac{1}{4}[/tex]

[tex]\frac{3}{3}=1[/tex]

So the answer is [tex]\frac{4}{10}(-\frac{1}{4} c+1)[/tex]

Answer:

8x-12=6x-2 x=5

Step-by-step explanation:

The cups of sugar mario use would be  16 3/8 cup

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Mario made six batches of cookies. His friends asked him to make an extra batch.

He used 15 3/4 cups of sugar

15 3/4 cup = 126/8 cup

then he needs another 5/8 cup for the extra batch.

126/8 + 5/8 = 131/8 cup

Mario use altogether;

131/8 = 16 3/8 cup

Learn more about the unitary method, please visit the link given below;

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Answer:

y = -3x+5  This has a negative slope

Step-by-step explanation:

The first step is to find the slope.  We can use the formula

slope = (y2-y1)/(x2-x1)

        = (-10--1)/(5-2)

       = (-10+1)/3

        = -9/3

       =-3

Next we will use the point slope form of the equation of a line

y-y1 = m(x-x1)

y--1 = -3(x-2)

y+1 = -3(x-2)

Distribute the -3

y+1 = -3x -3*(-2)

y+1 = -3x+6

Subtract 1 from each side

y+1-1 = -3x+6-1

y = -3x+5

This is in the slope intercept form of the equation.

My answer differs from the options because I have a negative slope

Answer:x=20

Step-by-step explanation:

2(3x+1) = 6x+2

since xy and yz are the parts of a midpoint they are equal to eachother

so 6x+2=5x+22

if you subtract 5x from both sides you get x+2 = 22 then you subtract 2 from both sides so you have x=20

Answer:

5x-3 or x-3

Step-by-step explanation:

I don't know what are the choices, so I'll just factor the whole thing. Choose the ones that fit.

-3 + -15 = -18

-3 * -15 = 9*5

5x^2-15x-3x+9

5x(x-3)-3(x-3)

(5x-3)(x-3)

Answer:

5x - 3

Step-by-step explanation:

APEX

Answer:

$900

Step-by-step explanation:

It cost each person $90 to go on the trip when you divide 270/3. You can find out how much it would cost for 10 people to go on the trip by multiply 10X90.

Answer:

True

Step-by-step explanation:

Answer by YourHope:

Hi! :)

Out of 25 students in Mrs. Green’s class, 12 have a pet. What percent of the students in Mrs. Green’s class have a pet?

76% of the students in Mrs. Green’s class have a pet!

I also love your profile pic! :)

Answer:

x = - 3 and x = - 4

Step-by-step explanation:

(a)

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x + 3 = 0 ⇒ x = - 3

(b)

Equate f(x) to 5, that is

[tex]\frac{2x+3}{x+3}[/tex] = 5 ( cross- multiply )

5(x + 3) = 2x + 3 ( distribute left side )

5x + 15 = 2x + 3 ( subtract 2x from both sides )

3x + 15 = 3 ( subtract 15 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

Answer:

(-2, 0)

Step-by-step explanation:

Use elimination: add the two systems. Because the left is equal to right, you are adding the same thing and it's legal.

-x+3y=2

+ (x+y=-2)

Add each term

-x+x + 3y+y = 2+ -2

4y=0

y=0

x+y=-2

x+0=-2

x=-2

Answer:

x=-2, y=0

Step-by-step explanation:

-x+3y=2

X+y=-2

We can add these two equations together to eliminate x

-x+3y=2

x+y=-2

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

4y = 0

Divide each side by 4

4y/4 = 0/4

y=0

Now we still need to find x

x+y = -2

Substitute x=0

0+y = -2

y= -2

Parallel lines have the same slope.

If y = 2x + 4, then parallel line has equal y = 2x + b.

The line passes throught the point (3, 8). Put the coordinates of the point to the equation of a line:

8 = 2(3) + b

8 = 6 + b      subtract 6 from both sides

2 = b

Answer:

c 61 units but it should be under a square root

Step-by-step explanation:

CA=6

CB=5

5^2+6^2=AB^2

61=AB^2

The Option C is partially correct , the answer must be under a square root as [tex]\;\sqrt {61} {\text{ units}}[/tex].

Further explanation:

The pythagorean theorem is used in the right angle triangle and it states that the square of the hypotenuse is equal to the sum of the squares of the perpendicular and base.

It can be mathematically expressed as,

[tex]{h^2} = {p^2} + {b^2}[/tex]  

Here, [tex]h[/tex] is the hypotenuse, [tex]p[/tex] is the perpendicular and [tex]b[/tex] is the base.

Step by step explanation:

Step 1:

It is observed from given figure that after joining the points [tex]A,B{\text{ and C}}[/tex] it is established as right angle triangle.

First determine the perpendicular and the base of the triangle.

It can be seen that there are 5 boxes between the point [tex]A{\text{ and }}C[/tex] and 6 boxes between the point [tex]{\text{B and C}}[/tex].

Therefore, the perpendicular of the triangle [tex]AC[/tex] is [tex]{\text{6 units}}[/tex] and the perpendicular of the triangle [tex]AB[/tex] is  .

Step 2:

Now use the Pythagoras theorem to find the distance between [tex]B{\text{ and }}A[/tex].

The distance between [tex]B{\text{ and }}A[/tex] is the length of the hypotenuse of the triangle [tex]ABC[/tex].

The length of the hypotenuse [tex]AB[/tex] can be calculated as,

[tex]\begin{aligned}{h^2}&= {p^2} + {b^2}\\{h^2} &= {6^2} + {5^2}\\{h^2} &= 61\\h &= \sqrt {61}\\\end{aligned}[/tex]  

Therefore, the distance between [tex]B{\text{ and }}C[/tex] is [tex]\sqrt {61}[/tex] units.  

Thus, option C is partially correct , the answer must be under a square root as [tex]\sqrt {61}[/tex] units.

Learn more:  

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Pythagoras theorem.

Keywords: Distance, Pythagoras theorem, points, base, perpendicular, hypotenuse, right angle triangle, boxes, units, squares, sum

Answer:

20 Centimeters

Step-by-step explanation:

did it on edge