A container in the shape of a rectangular prism has a base with an area of 19 1/2 square inches. If the container is filled with water to a height of 4 1/2 inches, how much water is in the container?

Answer:

A

Step-by-step explanation:

Given :

2x + 4y = 14  ---------- eq 1

4x + y = 20 ---------- eq 2

if you multiply eq 2 by -4 on both sides, you get

-4 (4x + y = 20) = -4 (20)

-16x -4y = -80 --------- eq3

we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.

The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex]  is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

System of equations comprises of two or more equations and seeks common solutions to the equations.

We have,

[tex]2x + 4y = 14[/tex]   [tex]........(i)[/tex]

  [tex]4x + y = 20[/tex]    [tex]........(ii)[/tex]

Now,

To check that which option suits best for system of equation,

Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],

  [tex](-4) (4x + y) = (-4)*(20)[/tex]

[tex]-16x-4y=-80[/tex],

So, this above obtained equation is in option  [tex](A)[/tex].

Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].

To know more about system of equations click here

https://brainly.com/question/21620502

#SPJ3

Answer:

The new coordinates are:

Please check the attached graph.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Given the vertices of the triangle in the diagram

A (1, 4)

B(2, 2)

C(-2, 1)

In our case:

Rule to calculate the dilation by a scale factor 6 centered at the origin

P(x, y) → P'(6x, 6y)

Here, P'(6x, 6y) ) is the image of P(x, y).

Thus,

A (1, 4)  → A'(6(1), 6(4))  → A'(6, 24)

B(2, 2)  → B'(6(2), 6(2))  → B'(12, 12)

C(-2, 1) → C'(6(-2), 6(1))  → C'(-12, 6)

Therefore, the new coordinates are:

Please check the attached graph.

Answer:

5.27 lb

Step-by-step explanation:

Given that,

Mya has 3 times as much floor as Eric. Mya has 15.81 lb of floor. The relation is given by :

Let Eric has F floor.

3F = 15.81 ...(1)

We need to find how much flour Eric has.

Dividing both sides by 15.81.

F = 15.81/3

F = 5.27 lb

Hence, Eric has 5.27 lb of flour.

Answer:

Nickel = 13

Dimes = 8

Quarters = 16

Step-by-step explanation:

Let N denote Nickel,

Let D denote dime

Let Q denote quarter

Now, from online conversions;

1 nickel = 5 cents

Also, 1 dime = 10 cents

Also, 1 quarter = 25 cents

Isabelle has $5.45 which is also 545 cents.

Thus, we have;

5N + 10D + 25Q = 545 - - - (eq 1)

We are told that;

she has five more nickels than dimes, and twice as many quarters than dimes.

Thus;

N = D + 5

Also, Q = 2D

Plugging them for N and Q in eq 1 givens;

5(D +5) + 10D + 25(2D) = 545

5D + 25 + 10D + 50D = 545

25 + 65D = 545

65D = 545 - 25

65D = 520

D = 520/65

D = 8

Thus; N = D + 5 = 8 + 5 = 13

Q = 2D = 2 × 8 = 16

Answer:

The answer is C

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

1. G

2. E

3. C

Step-by-step explanation:

Multiply the number on the outside by both on the inside.

Answer:

C,E,G

Step-by-step explanation:

Multiply the number out of the parenthesis to both of the ones in the parenthesis

Answer:

4

Step-by-step explanation:

divide 18 by 72

Answer:

The golf ball is 2 times as likely to be orange as it is to be pink

Step-by-step explanation:

Anyways, i hope this is right and i hope i helped!

Answer:

Step-by-step explanation:

you got this i believe in you!

Answer:

(D) Jordan worked a total of 21 1/2 hours.

Step-by-step explanation:

Solution: m=money made

h=hours worked

m=$4(h)+$10

$96=$4(h)+$10 subtract the 10

$86=$4(h) divide by 4

21.5=h

Answer:

The slope is 1/2

Step-by-step explanation:

I did rise over run

Answer:

X=-1

Y=1

Solve using Elimination.

Step-by-step explanation:

Multiply the second equation by 7.

The two equations are now:

7x+6y=-1

-7x +14y=21

Combine the two equations

7x and -7x cancel each other out, 14y+6y is 20y, and 21 - 1 is 20.

The equation is now

20y=20, divide 20 on both sides to get Y=1.

Now, substitute 1 as Y in the second equation for -x+2(1)=3

-x+2=3, can be simplified, by subtracting 2 from both sides. Giving us

-x=1.

Divide both sides by -1 for X=-1

Final answers being X=-1, Y=1

Hope this helps! Let me know if you have further questions!

Answer:

18=3x x=6

Step-by-step explanation:

3x+30+x=

10+2x+5x+2=

3x+18+x=

2x+5x=

18=3x    

   x=6

Answer: 9 (2x + 1)

Step-by-step explanation: i hope i helped

Answer:

2001 is the square number of

Exact Form: √2001

Decimal Form: 44.73253849…

1007 is the square number of​

Exact Form: √1007

Decimal Form: 31.73326330…

Step-by-step explanation:

Answer:

Square of 2001 is 44.73. Rounded to the nearest hundredth

Square of 1007 is 31.73. Rounded to the nearest hundredth

Answer:

48 cups

Step-by-step explanation:

There are 16 cups in 1 gallon. I know this because i divided 64 by 4 to get the amount added. If you subtract 16 from 64, you get 48 cups.

Answer:

I think it's the first or third

Answer:

5/18

Step-by-step explanation:

So the total is 5/9 yard of ribbon, cut it in half means dividing it into 2

5/9 ÷ 2 = 5/9 * 1/2 = 5/18

Answer:

8x + 7 = 3 (x = -0.5)

Step-by-step explanation:

I think this is the equation for what you said

If this is the right equation then x would equal -0.5

(hope this helps)

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

"The sum of 8 times a number (x) and 7 equals 3."

Let, "a number" = x

8x + 7 = 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

First, subtract 7 from both sides of the equation:

8x + 7 (-7) = 3 (-7)

8x = 3 - 7

8x = -4

Next, divide 8 from both sides of the equation:

(8x)/8 = (-4)/8

x = -4/8

x = -1/2

-1/2 is your number, or -0.5

~

- undefined means 0.

ALWAYS.

so the answer is 0.

Answer:

answer is 0.

Step-by-step explanation:

I hope it's helpful!

Answer:

option b. SSS theorem

Step-by-step explanation:

..............,

Answer:

is there any more information

Answer:

x=-50

Step-by-step explanation:

16+x=-34

take away 16 from each side

x=(-34-16)

x=-50

Answer:

72%

Step-by-step explanation:

18,000 / 25,000 = 72% variance. In other words, they made 72% less than they had projected.

Answer:

The answer is $7,000

Step-by-step explanation:

did it on acellus

Answer:

Step-by-step explanation:

[tex]rate=\frac{interest \times 100}{principle \times time } \\=\frac{1440 \times 100}{4000 \times 6 } \\=6 \%[/tex]

Answer:

1/4

Step-by-step explanation:

because there are four balls therefore 1 out of 4 is going to be the answer

Answer:

40

Step-by-step explanation:

so first we need to figure out how many money did she save

50*20% = 10 dollars

so she saved 10 dollars

then 50-10=40

so she paid 40 dollars

Answer:

x=109

Step-by-step explanation:

The angles inside of a triangle all add up to 180 degrees. So:

23+48+x=180

Simplify Like-Terms:

71+x=180

Subtract 71 from both sides:

x=109