eric mows 1/5 acre in 1/4 hour. how many acre does paige mow per hour

By substitution, we will see that the solution of the system is:

x = 13, y = 11, z = -1

The correct option is D.

Here we have a system of 3 equations:

x + y + 8z = 16

2x + 7z = 19

4x - 4y + 4z = 4

I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:

x + y + 8z = 16

2x + 7z = 19

x - y + z = 1

Now, I will isolate x on the second equation:

x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z

Now we can replace that on the other two equations:

(9.5 - 3.5*z) + y + 8z = 16

(9.5 - 3.5*z) - y + z = 1

Rewriting the system we get:

y + 4.5z = 6.5

-y - 2.5z = -8.5

Now we can isolate y on the first equation:

y = 6.5 - 4.5z

Replacing that on the other equation we get:

-(  6.5 - 4.5z) - 2.5z = -8.5

-6.5 + 4.5z - 2.5z = -8.5

2z = -8.5 + 6.5 = -2

z = -2/2 = -1

Then the value of y is:

y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11

And the value of x is:

x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13

So the solution of the system is:

x = 13, y = 11, z = -1

The correct option is D.

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Answer:

tax is 2.58

Step-by-step explanation:

Answer:

.06 times 43 is $2.53 in tax

Step-by-step explanation:

Answer:

2,3

Step-by-step explanation:

i took the quiz

Answer:

2,3

Step-by-step explanation:

Answer:

The answer is 7.5

Step-by-step explanation:

3x+18=9x−27

3x+18−9x=9x−27−9x

−6x+18=−27

−6x+18−18=−27−18

−6x=−45

−6x /−6 = −45 /−6

x =  15 /2  which is equal to 7.5 as a decimal.  

Answer:

B. 7n

Step-by-step explanation:

Gina popped 7 times more than Sam, the keyword is times, so u have to multiply the amount of balloons Sam poppes, n, with 7

If it said Gina popped 7 balloons more, then it would be 7 + n

Answer: it should be 75

Step-by-step explanation:

9 times 5 is 45 so 15 times 5 should be 75

Answer:

3

Step-by-step explanation:

Answer:

C a translation by 3 units right and 8 units down

Step-by-step explanation: This answers the Unit 3 summative assessment N-gen Math

Answer:

Step-by-step explanation:

HELLPPPP

According to the Commutative Property of Addition, ab = ba for all expressions a and b: FALSE

According to the Commutative Property of Addition, rearranging the addends has no impact on the sum.

Therefore, the statement "according to the Commutative Property of Addition, ab = ba for all expressions a and b" is FALSE

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9514 1404 393

Answer:

  13 units

Step-by-step explanation:

The distance is found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((14 -2)² +(6 -1)²) = √(144 +25) = 13

The distance between the two points is 13 units.

Answer:

Step-by-step explanation:

First, we isolate the variable on the second equation so that we can have an x solution to plug in:

Now, we plug this in to the first equation:

[tex]7(-y+4)^{2} +(-y+4)^{2} =64[/tex]

We can now put the 7 into the parentheses and then square root the equation:

[tex]\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40[/tex]

We then plug this in to the original equation to find x

[tex]x+-40=4\\x=-36[/tex]

This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else

Answer:

4:18 and 6:27

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

I hope this helps!

Answer:

speed = distance / time

Jana's speed is

  speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h

Answer:

32 ft tall

Step-by-step explanation:

24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32

Answer:

A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".

value of x=2 is-8 and y=-4 is -1024

Answer:

only p(x)

Step-by-step explanation:

The others have a restricter domain

Answer:

(9, 18) (3, 6) Plz correct me if wrong

Step-by-step explanation:

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

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Answer:

it's either A (12) or B(4) but I think it's 12

Step-by-step explanation:

if we make it into an equation, we get

8(x-6)=4x

8x-48=4x

-48=-4x

-12=-x

x=12

the reason why it might be 4 as well is if we switch the order

8(6-x)=4x

48-8x=4x

48=12x

x=4

So both of those could be correct, but I'm thinking that because they said between a number and 6, then x goes first, so therefore, I think it is 12

Answer:

The answer is A) 3 Hope this helped

Answer:

  6  <   third side    <   14

Third side must be greater than 6 and less than 14

Step-by-step explanation:

A triangle can be formed from 2 sides of any length.

The third side must be longer than the difference of the other 2 sides and

the third side must be less than the sum of the other 2 sides.

(if this question is from k12 lesson check)

Given:

Two small pizzas, a liter of soda, and a salad costs $14.

One small pizza, a liter of soda, and three salads costs $15.

Three small pizzas, a liter of soda, and two salads costs $22.

To find:

The cost of each item.

Solution:

Let x be the cost of a small pizza.

y be the cost of a liter of soda

z be the cost of a salad.

According to the question, two small pizzas, a liter of soda, and a salad costs $14.

[tex]2x+y+z=14[/tex]           ...(i)

One small pizza, a liter of soda, and three salads costs $15.

[tex]x+y+3z=15[/tex]         ...(ii)

Three small pizzas, a liter of soda, and two salads costs $22.

[tex]3x+y+2z=22[/tex]      ...(iii)

From (i), we get

[tex]z=14-2x-y[/tex]        ...(iv)

Putting [tex]z=14-2x-y[/tex] in (ii), we get

[tex]x+y+3(14-2x-y)=15[/tex]

[tex]x+y+42-6x-3y=15[/tex]

[tex]-5x-2y=15-42[/tex]

[tex]-(5x+2y)=-27[/tex]

[tex]5x+2y=27[/tex]            ...(v)

Putting [tex]z=14-2x-y[/tex] in (iii), we get

[tex]3x+y+2(14-2x-y)=22[/tex]

[tex]3x+y+28-4x-2y=22[/tex]

[tex]-x-y=22-28[/tex]

[tex]-(x+y)=-6[/tex]

[tex]x+y=6[/tex]

Multiply both sides by 2.

[tex]2x+2y=12[/tex]    ..(vi)

Subtracting (vi) from (v), we get

[tex]5x+2y-2x-2y=27-12[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Putting x=5 in (vi), we get

[tex]2(5)+2y=12[/tex]

[tex]10+2y=12[/tex]

[tex]2y=12-10[/tex]

[tex]2y=2[/tex]

[tex]y=1[/tex]

Putting x=5 and y=1 in (iv), we get

[tex]z=14-2(5)-(1)[/tex]

[tex]z=14-10-1[/tex]

[tex]z=3[/tex]

So, [tex]x=5,y=1,z=3[/tex].

Therefore, the cost of a pizza is $5, cost of a liter of soda is $1 and cost of salad is $3.

Answer:

5,320 pages

Step-by-step explanation:

Last year: 3,432 pages

Last year: 3,432-1,544= 1,888

3,432+1,888= 5,320

Answer:

32

Step-by-step explanation:

she was supposed to divide and multiply first and then add those answers

6+6+20=32

Answer:

-1.5

Step-by-step explanation:

Answer:

200m

Step-by-step explanation:

To find volume you multiply each side, length, width, and height. 5 times 4 is 20, and 20 times 10 is 200