Find the volume of the prism. Round to the nearest tenth if necessary

2. 3x - 5y = -2

   x + 3y = 4

   Let us multiply equation 2 by three, so we can use the elimination method.

   3x + 9y = 12

   Now, let us subtract equation 1 from equation 2.

   3x + 9y - 3x + 5y = 12 + 2

   14y = 14

   y = 1

   Let us substitute this value of y in equation 2.

   x + 3(1) = 4

   x = 4 - 3

   x = 1

3. -3x + 3y = -6

   6x + 4y = 42

   Let us multiply equation 1 by 2, so we can use the elimination method.

   -6x + 6y = -12

   Let us now add equations 1 and 2, so as to eliminate x.

   6x + 4y -6x + 6y = 42 - 12

   10y = 30

   y = 3

   Let us now substitute this value of y in equation 1, so as to find x.

   -3x + 3(3) = -6

   -3x + 9 = -6

   -3x = -15

   3x = 15

   x = 5

4. 12x + 4y = 20

   2x - 2y = -2

   Let us multiply equation 2 by 2, so as to use the elimination method.

   4x - 4y = -4

   Let us now add equations 1 and 2, so as to eliminate y.

   4x - 4y + 12x + 4y = -2 + 20

   16x = 18

   x = [tex]\frac{18}{16}[/tex] = [tex]\frac{9}{8}[/tex] = 1.125

   Let us substitute this value of x in equation 2, so as to find y.

   2(9/8) -2y = -2

   9/4 - 2y = -2

   -2y = -2 - 9/4

   2y = 17/4

   y = [tex]\frac{17}{8}[/tex] = 2.125

Answer:

3 days and 3 hours

Step-by-step explanation:

lets find how many total hours he will need to spend to get to Detroit

1620/60=27

Lets find how many days will it take Mr. Tram to get to Detroit if he is willing to drive only for 8 hours each day.

27/8=3 3/8

3 days and 3 hours

Answer:

3 days and 3 hours

1620/60=27 amount of hours it will take to get to Detroit

27/8=3 3/8 if he wants to drive for only 8 hrs each day

3 days and 3 hours is the final answers

:-)

Answer:

How much do the drinks cost? Add them together and take away .75

Step-by-step explanation:

Answer:

164.7 in2

Step-by-step explanation:

Solve for surface area

Shape: Pyramid

Formula: L*W*H

A≈167.13 round to the nearest ten = 164.7 in2

The correct answer to this question is 164.7 in2

So A is the correct answer

Hope this helps.

Answer:

hai

a triangle's sum of interior angels is equal to 180°.

so we have this equailty

y+10°+50+2y = 180

3y+60° = 180.

to solve better, im throwing 60 near 180. 60° is going to be -60 cause of it.

3y=180-60 = 3y=120

now im dividing both 3. because both can divide by 3.

3y/3 = 120/3 = y=40

good luck(:

Answer:

C

Step-by-step explanation:

Answer:

u=5

Step-by-step explanation:

(u-3)2+2(u-3)-8=0

2u-6+2u-6-8=0

4u-20=0

4u=20

u=5

Answer:

b on edge2020

Step-by-step explanation:

Answer:

(2.5 , 0)

Step-by-step explanation:

Given points C and D. the coordinates of point P that partitions CD such that CP:PD=m:n can be calculated using the formula:

[tex]x=(\dfrac{m}{m+n})(x_2-x_1)+x_1$ , y=(\dfrac{m}{m+n})(y_2-y_1)+y_1\\\\$Now, (x_1,y_1)=C(5,-1), (x_2,y_2)=D(-5,3),$ m:n=1:3\\Therefore:\\x=(\dfrac{1}{1+3})(-5-5)+5\\=(\dfrac{1}{4})(-10)+5\\=\dfrac{-10}{4}+5\\\\x=2.5[/tex]

Similarly:

[tex]y=(\dfrac{1}{1+3})(3-(-1))+(-1)\\=(\dfrac{1}{4})(4)-1\\=1-1\\y=0[/tex]

Therefore, the coordinates of P is (2.5,0)

Answer:

75600

Step-by-step explanation:

Answer: The answer is 2/1 or 2

Step-by-step explanation:

This is because you take one point on the line and then go up how many spaces to the next point on the line.

Answer:

A. Store A

Step-by-step explanation:

The median is shown by the very middle line of the box. The middle-most line on the box of store A is greater than that of Store B

So the right options are:

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

A

Step-by-step explanation:

Because the x's domain has whole numbers from 0-10

Answer:

Domain is whole numbers from 0 to 10

Step-by-step explanation:

The domain is the inputs to the function

Since the inputs are discrete ( dots)

Domain is whole numbers from 0 to 10

Answer:

The graph will show an initial value that is lower on the y-axis

Step-by-step explanation:

The exponential function has the next general form:

[tex]y = ab^x [/tex]

where a is the initial amount and b is the base.

If the a value in the function is decreased, but remains greater than 0, the y-intercept of the curve decrease.

Answer: The graph will show an initial value that is lower on the y-axis

Step-by-step explanation: i got it right on edge!

Answer:

17 1/3

Step-by-step explanation:

Total number of Jar she make is [tex]17\frac{1}{3}[/tex] jar

Given that;

Number of strawberry jam jar = [tex]4\frac{1}{3}[/tex] jars

Number of apricot jam jar = 3(Number of strawberry jam jar)

Find:

Total number of Jar she make

Computation:

Given problem is Sum base problem.

Number of apricot jam jar = 3(Number of strawberry jam jar)

Number of apricot jam jar = 3([tex]4\frac{1}{3}[/tex])

Number of apricot jam jar = 3(13/3)

Number of apricot jam jar = 13 jar

Total number of Jar she make = (13/3) + 13

Total number of Jar she make = [tex]17\frac{1}{3}[/tex] jar

Find out more information about 'Sum based problem':

https://brainly.com/question/537797?referrer=searchResults

Answer:

The answer is option A

The x-intercepts are (–12, 0) and (–6, 0). The y-intercept is (0, 72). The vertex is an absolute minimum, (–9, –9).

Hope this helps.

Answer:

4914 yd³

Step-by-step explanation:

Volume= base*height

Base= 1/2*18*√18²-9²= 140.30 yd²

Height= 35 yd

V=140.40*35= 4914 yd³

 I’m probably wrong but I Think its isometric.

Answer:

About 238.07 miles

Step-by-step explanation:

The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side. Therefore:

[tex]\tan 38=\dfrac{186}{x} \\\\x=\dfrac{186}{\tan 38}\approx 238.07[/tex]

Hope this helps!

Answer:

[tex] \boxed{x - y = -2\sqrt{7}} [/tex]

Given:

[tex]x + y = 4 \\ \\ {x}^{2} + {y}^{2} = 22 \\ \\ {x}^{4} = {y}^{4} - 176 \sqrt{7} [/tex]

Step-by-step explanation:

[tex] = > {x}^{4} = {y}^{4} - 176 \sqrt{7} \\ \\ = > {x}^{4} - {y}^{4} = - 176 \sqrt{7} \\ \\ = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2} = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2}) (x + y)(x - y) = - 176 \sqrt{?} \\ \\ = > 22 \times 4(x - y) = - 176 \sqrt{7} \\ \\ = > 88(x - y) = - 176 \sqrt{7} \\ \\ = > x - y = - \frac{176 \sqrt{7} }{88} \\ \\ = > x - y = - 2 \sqrt{7} [/tex]

Identity used:

[tex]{x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

Answer:

-2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

[tex]x^{4} - y^{4} = -176\sqrt{7} \\(x^{2} + y^{2})(x^{2} - y^{2} ) = -176\sqrt{7} \\(x^{2} - y^{2} )= \frac{-176\sqrt{7}}{22} \\(x + y)(x - y) = -8\sqrt{7}\\ x - y = \frac{-8\sqrt{7}}{4} = -2\sqrt{7}[/tex]

Answer:

8.94

Step-by-step explanation:

with a right triangle, you can use the Pythagorean Theorem, a^2 + b^2 = c^2

if you put in the values that you have, which are 8 and 4 into the equation, you get 8^2 + 4^2 = c^2

Now simplify, and you get 16 + 64 = c^2 which can then be further simplified to 80 = c^2

To get the value c all by itself, you have to square both sides. Square root of 80 becomes 8.94, and square root of c^2 becomes just a 'c'.

Therefore, you get 8.94 = c, meaning that the missing length (hypotenuse) is 8.94 units long.

Answer:

8.94

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\sqrt{5}[/tex] gives an irrational product when multuply it by [tex]0.2[/tex].

" Irrational number is defined as the set of numbers which can not be represented in [tex]\frac{x}{y} , y\neq 0[/tex] form."

According to the question,

Given multiplier [tex]= 0.2[/tex]

A. [tex]0.7[/tex]

The product of  [tex]0.7 \times 0.2 = 0.14[/tex] which is not a irrational number but a decimal number.

Option A is not the correct answer.

B. [tex]5[/tex]

The product of  [tex]5 \times 0.2 = 1[/tex] which is not a irrational number but a whole number.

Option B is not the correct answer.

C. [tex]\sqrt{5}[/tex]

The product of  

[tex]\sqrt{5} \times 0.2 \\\\= \frac{2}{10}\times \sqrt{5} \\\\= \frac{1}{5} \times \sqrt{5}\\\\=\frac{1}{\sqrt{5} }[/tex]

which is a irrational number .

Option C is the correct answer.

D. [tex]\frac{3}{4}[/tex]

The product of  

[tex]\frac{3}{4} \times 0.2\\\\= \frac{3}{4} \times\frac{2}{10}\\ \\=\frac{3}{20}[/tex]

which is not a irrational number but a fraction.

Hence, Option C is the correct answer.

Learn more about irrational number here

brainly.com/question/17450097

#SPJ2

Answer: x=1 or x=-3

Step-by-step explanation:

Quadratic formula is [tex]-b+-\sqrt{b^{2}-4ac } /2[/tex]

a=1 b=2 c=-3

Substitute

[tex](-2+-\sqrt{2^{2}-4(1)(-3) }) /2\\(-2+-\sqrt{4+12}) /12\\(-2+-\sqrt{16}) /2\\(-2+-4) /2\\x=\frac{-2+4}{2} \\x=\frac{-2-4}{2} \\\\\\Simplify\\x=\frac{2}{2} \\\\x=\frac{-6}{2} \\\\Simplify\\x=1\\x=-3[/tex]

Answer:

The equation is:

[tex](x - 0)^2 + (y - 4)^2 = 3[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

(where [tex](h, k)[/tex] represents the center and [tex]r[/tex] the radius).

-Use the given center and radius for the equation of a circle:

[tex](x - 0)^2 + (y - 4)^2 = \sqrt{3} ^2[/tex]

After, you have the equation of a circle written, simplify the radius by the exponent [tex]2[/tex]:

[tex](x - 0)^2 + (y - 4)^2 = 3[/tex]

So now, you have found the equation of a circle.

Answer:

(x)^2 + (y - 4)^2 = 3

(it could also be (x - 0)^2 + (y - 4)^2 = 3 but you can drop the zero by the x and just have it like: (x)^2 + (y - 4)^2 = 3)

Answer:

Correct option: fourth one

Step-by-step explanation:

We can see in the table that we have three variables: the gender of the lion, the number of offspring and the age in years.

From these three variables, the gender is a categorical variable, because it can only assume a finite number of values (in this case, 2 values: M or F)

The other two variables (no. of offspring and age) can theoretically assume an infinite number of values (any non-negative integer number).

So the correct option is the fourth one: three variables, and one of them is categorical.

Answer:

$79,617.83 per person

Step-by-step explanation:

$25,000,000,000,000 / 314,000,000 = $79,617.83 per person

The amount of debt per person is $79,617.83.

The total debt is $25 trillion and the number of people in the country is 314 million.

The debt per person is:

= Total debt / population

= 25,000,000,000,000 / 314,000,000

= $79,617.83

The amount of debt per person is therefore $79,617.83.

Find out more at https://brainly.com/question/16757605.

Answer:

7/9

Step-by-step explanation:

since they have a common denominator, you could just add 2 and five together to get 7.

Answer:

Step-by-step explanation:

[tex]\frac{2}{9}+\frac{5}{9}[/tex]

[tex]\frac{2+5}{9}[/tex] When you have the same denominator you just have to add the numbers above

= [tex]\frac{7}{9}[/tex]     This is the answer.

I hope this help you :)