2x - 3y = 45 and x + y = 10 what is the x - value of the solution of the system

Answer:

Therefore the volume of the cylinder[tex]=\pi(2x^3-5x^2-24x+63)[/tex]  cubic units

Step-by-step explanation:

Given height of a cylinder is (h) =2x+7

and radius  (r)= x-3

Volume of the cylinder = [tex]\pi r^2 h[/tex]

                                  [tex]=\pi (x-3)^2(2x+7)[/tex]

                                  [tex]=\pi (x^2-6x+9)(2x+7)[/tex]

                                  [tex]=\pi (2x^3-12x^2+18x+7x^2-42x+63)[/tex]

                                  [tex]=\pi(2x^3-5x^2-24x+63)[/tex]  cubic units

Therefore the volume of the cylinder[tex]=\pi(2x^3-5x^2-24x+63)[/tex]  cubic units

Answer:

its 9.4 im pretty sure

Step-by-step explanation:

To solve such fractions you need to make their denominators equal. For example:

[tex] \frac{5}{6} + \frac{4}{7} = \frac{5 \times 7 + 4 \times 6}{6 \times 7} = \frac{35 + 24}{42} \\ = \frac{59}{42} \\ [/tex]

Answer:

The constant of proportionality is equal to 4

Step-by-step explanation:

The picture of the question in the attached figure

Let

y ----> the total cost in dollars

x ----> the number of bags of peanuts

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

To find out the constant of proportionality, we need to take one point from the graph

take the point (1,4)

Find the value of k

[tex]k=\frac{y}{x}[/tex]

substitute the value of x and the value of y

[tex]k=\frac{4}{1}=\$4\ per bag[/tex]

Answer:

4

Step-by-step explanation:

Answer:

Give each a common denominator

Step-by-step explanation:

So let’s say you have 1/2 and 2/4 how would you know which is bigger well we know both 2 and 4 go into 4 so 1/2 x2 = 2/4 so these 2 are equal

Answer:

50%

Step-by-step explanation:

50% is half. Half of 6 is 3. 3 dollars.

When you subtract the y values you find that each increase in x decreases y by 4.

X is going from 4 to 82 which is 78 units.

78 x 4 = 312

Subtract 312 from the last y value:

209 - 312 = -103

The answer is -103

Answer:

When x = 82, y = -103

Step-by-step explanation:

So an arithmetic sequence is a sequence whose terms differ by a constant value. To find the value of the [tex]n^{th}[/tex] term we need to form an equation for the sequence.

First we need to find the difference between the values of the sequence. In this case the difference is -4:

217 - 221 = -4,  209 - 213 = -4

So the equation is:

[tex]n^{th}[/tex] term = -4n + c

Now we need to find the c, so we substitute the [tex]n^{th}[/tex] term and the term number and solve the equation:

221 = (-4 x 1) + c

221 = -4 + c

c = 225

So the final equation is:

[tex]n^{th}[/tex] term = -4n +225

Now all we need to do is substitute into the equation and find the answer:

[tex]n^{th}[/tex] term = (-4 x 82) + 225

[tex]n^{th}[/tex] term = -328 +225

[tex]n^{th}[/tex] term = -103

Answer:

Step-by-step explanation:

Try photomath

Answer:

a= 16

Step-by-step explanation:

6 = a/4  + 2

6 - 2 = a/4

4 = a/4

a= 16

Answer:

i think it is 68

Step-by-step explanation:

12 x 3 = 36

8 x 4 = 32

36 + 32 = 68

Based on the proportion of 5 dictionaries in 8 minutes, Foster Publishers would be able to print approximately 6.25 dictionaries in 10 minutes.

This question involves proportions, which often show up in mathematical problems like this one. A proportion is a statement that two ratios are equivalent. In this question, we know that Foster Publishers can print 5 dictionaries in 8 minutes, which establishes our first ratio (5/8).

We want to find out the number of dictionaries it can print in 10 minutes. This establishes a second ratio, but we don't know the numerator yet. We can set it up as follows: x/10 = 5/8, where x is the number of dictionaries that can be printed in 10 minutes.

6.25 dictionaries in 10 minutes if it continues at the same rate of production.

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Answer:

1 3/5

Step-by-step explanation:

Answer:(-2+0)(3+10)

Step-by-step explanation:

Answer:

y = 2x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (3, 10)

m = [tex]\frac{10-0}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2, thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 0), then

0 = - 4 + c ⇒ c = 0 + 4 = 4

y = 2x + 4 ← equation of line

The number of viruses was 4000 times greater than number of protozoa.

Step-by-step explanation:

Given,

Number of protozoa = [tex]5*10^5[/tex]

Number of viruses = [tex]2*10^9[/tex]

Let,

x be the number of times number of viruses is greater than number of protozoa.

Number of viruses = Number of time * Number of protozoa

[tex]2*10^9=(5*10^5)x[/tex]

Dividing both sides by [tex]5*10^5[/tex]

[tex]\frac{2*10^9}{5*10^5}=\frac{(5*10^5)x}{5*10^5}\\\\4*10^3= x\\x=4*10^3 \\x=4000[/tex]

The number of viruses was 4000 times greater than number of protozoa.

Keywords: division, scientific notation

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Answer:

-1, -3/4, -5/8, -1/20, 0

Step-by-step explanation:

-1/20 = -2/40

-5/8 = -25/40

-3/4 = -30/40

0 = 0/40

-1 = -40/40

Answer:

98

Step-by-step explanation:

  0 0 9 8. 0 0 0

3 9 3 8 2 2. 0 0 0

 − 0            

   3 8          

 −   0          

   3 8 2        

 − 3 5 1        

     3 1 2      

   − 3 1 2      

         0 0    

       −   0    

           0 0  

         −   0  

             0 0

           −   0

               0

Answer: 98

Step-by-step explanation:

Answer:

(-9)/54*9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

i just did it

For the given graph  y = 3x²:

The value of y at x = 4 is 48.

Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

The given function is,

y = 3x²

And x = 4

To find the value of y,

Put x = 4 in the given fucntion we get,

y = 3(4²)

Simplifying we get,

y = 48

A graph is also attached to illustrate these points.

Hence,

At x = 4 the value of y is 48.

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Answer:

12

Step-by-step explanation:

11.5 rounds the .5 to 12

Another one got MATHED

12

Step-by-step explanation:

anything below five is rounded down

Answer:

72 minutes in 48 hours.

Step-by-step explanation:

You have to do 8 times six.

Answer:

-4/3

Step-by-step explanation:

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

m=(20-(-4))/(-4-14)

m=(20+4)/-18

m=24/-18

simplify

m=-4/3

Answer:473

Step-by-step explanation:

Final answer:

To determine how many cans are needed to hold 2,367 tennis balls, with each can holding 5 balls, you divide the total number of tennis balls by 5 and round up to the nearest whole number, resulting in 474 cans.

Explanation:

The subject of the question is Mathematics, as it involves a division problem. The question entails calculating the number of cans needed to hold 2,367 tennis balls, given that each can hold 5 tennis balls. To determine the number of cans required, we divide the total number of tennis balls by the number of balls that can fit in each can.

To find the solution:

Divide 2,367 by 5, which equals 473.4.

Since you can't have a fraction of a can, you would need to round up because you will need part of another can to hold the remaining balls. So, rounding 473.4 up, you get 474 cans.

Therefore, the Tennis Teams of Atlanta need to purchase 474 cans to hold 2,367 tennis balls.

Answer:

Therefore,

There are Four i.e 4 terms in the expression,

[tex]-7+12x^{4}-5y^{8}+x[/tex]

Step-by-step explanation:

Algebraic Expression:

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

Here the Expression is

[tex]-7+12x^{4}-5y^{8}+x[/tex]

So,

[tex]-7 = One\ Term\\12x^{4}=Second\ Term\\-5y^{8}=Third\ Term\\x=Fourth\ Term[/tex]

In all there are Four i.e 4 terms in the given expressions.

Therefore,

There are Four i.e 4 terms in the expression,

[tex]-7+12x^{4}-5y^{8}+x[/tex]

4 is the answer and no explanation

hope this helps and on edgenuity it is D

Answer: 30+x+y

Step-by-step explanation:

Given : Number of CDs sold by friend on first day = 14

Number of CDs sold by friend on next day = x

Total CDs sold by friend  = 14 +x

Number of CDs sold by you on first day = 16

Number of CDs sold by you on next day = y

Total CDs sold by you  = 16+y

The expression that shows the total number of CDs sold both days =

Total CDs sold by friend  + Total CDs sold by you

=  14 +x+ 16+y

= 14 +(x+ 16)+y

= 14 +(16+x)+y   [By Commutative Property of Addition.]

= 14+16+x+y

= 30+x+y

Hence, the expression that shows the total number of CDs sold both days :

30+x+y

Answer:

Step-by-step explanation:

Let x be the adult weight of a puppy A

25% of x = 8 pounds

[tex]\frac{25}{100}*x=8\\\\ x=\frac{8*100}{25}\\\\ =8*4=32pounds\\[/tex]

Final answer:

To calculate the adult weight of Puppy A, divide the current weight of 8 pounds by 0.25 since 8 pounds is 25% of the adult weight. The adult weight of Puppy A is 32 pounds.

Explanation:

The student is asking how to find the adult weight of Puppy A, given that its current weight is 25% of its adult weight. To solve this, we need to use the concept of percentages. If Puppy A currently weighs 8 pounds and this represents 25% of the adult weight, we can set up a proportion:

25% (current weight) / 100% (adult weight) = 8 pounds / adult weight

To find the adult weight, we divide 8 pounds by 25% (0.25 in decimal form):

Adult weight = 8 pounds / 0.25

Adult weight = 32 pounds

Therefore, the adult weight of Puppy A is expected to be 32 pounds.

Answer:

p < 0

Step-by-step explanation:

Given

- 3(p - 7) > 21

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

p - 7 < - 7 ( add 7 to both sides )

p < 0

Final answer:

To find the number of boats in the marina, we use the information given about the proportion of white, blue, and red boats. By setting up an equation and solving for the total, we find that there are 222 boats in the marina.

Explanation:

To find the number of boats in the marina, we need to start with the information given. The problem tells us that five-sixths of the boats in the marina are white, and then 25 of the remaining boats are blue. The rest of the boats are red, with a total of 12 red boats.

We can start by finding the fraction of boats that are red. Since five-sixths are white, the remaining fraction of boats that are not white is one-sixth. We know that 25 boats are blue, so if we subtract this from the one-sixth, we are left with the fraction that represents the red boats.

Let's set up an equation to solve for the total number of boats:

1/6 - 25 = 12

Simplifying the equation, we have:

1/6 = 12 + 25

1/6 = 37

Multiplying both sides of the equation by 6, we get:

1 = 37*6

1 = 222

Therefore, there are a total of 222 boats in the marina.

Answer:

The graph that shows the dilation of the rectangle in the attached figure

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem we have that the scale factor is equal to 2

Remember that

If a scale factor is greater than 1, then the dilation is a enlargement

To find out the dimensions of the dilated figure multiply the original dimensions by the scale factor

The original dimensions of rectangle are

[tex]b=2 units\\h=4\ units[/tex]

The dimensions of the dilated rectangle are

[tex]b=(2)2=4\ units\\h=(2)4=8\ units[/tex]

therefore

The graph that shows the dilation of the rectangle in the attached figure

Answer:

the answer is the last graph  

Step-by-step explanation:

you just have to add 2 squares to each one square

i did the test and got 100%

Answer:

d

Step-by-step explanation:

We know that the length of the garden is 4 - (-3) = 7 feet, the answer is (Negative 3, 5) and (4, 5).

A vertex is a point in geometry where two or more curves, lines, or edges intersect.

As a result of this definition, vertices are the points where two lines intersect to form an angle, as well as the corners of polygons and polyhedra.

Let's assume that the other two vertices are at points (a, b) and (c, d). The area of the garden can be calculated as follows:

Area = Length × Width

35 = 7 × (b - (-1)) [since the width is the distance between the y-coordinates of the vertices]

Simplifying the above equation, we get:

b - (-1) = 5

b = 4

So, one of the vertices should be at (a, 4) and the other at (c, 4). Since the garden is symmetrical about the x-axis, the y-coordinate of the missing vertices is 1 more than the y-coordinate of the given vertices. Hence, the other two vertices should be at (−3, 5) and (4, 5).

Therefore, the answer is (Negative 3, 5) and (4, 5).

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Answer: [tex]62.92 \frac{mi}{h}[/tex]

Step-by-step explanation:

If we are asked about how fast a car is going, this means we are asked about its velocity [tex]v[/tex], which is defined by the relation between the traveled distance [tex]d[/tex] and time [tex]t[/tex]:

[tex]v=\frac{d}{t}[/tex]

Where:

[tex]d=(330+\frac{1}{3}) mi=330.33 mi[/tex] is the traveled distance

[tex]t=(5+\frac{1}{4}) h=5.25 h[/tex] is the time

Solving the equation with the given information:

[tex]v=\frac{330.33 mi}{5.25 h}[/tex]

Finally:

[tex]V=62.92 \frac{mi}{h}[/tex] This is the car's velocity

Answer:

The speed of the car is 77.72 miles per hour

Step-by-step explanation:

To find out how fast is a car travelling when it traveled 330 and 1/3 miles in 4 and 1/4 hours following formula will be used

     Speed=  [tex]\frac{Distance}{Time}[/tex]

Total distance = 330 and 1/3

                        = 330+ 0.33

                        =  330.33 miles

Total time = 4 and 1/4

                 =  4 + 0.25

                 =  4.25 hrs

putting the values in equation we get speed of car

Speed= [tex]\frac{330.33}{4.25}[/tex]

Speed   = 77.72 miles per hour

So the speed of the car is 77.72 miles per hour

Keywords: Calculating speed

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