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3 years ago

Write,in its simplest form,the ration 3.5:800

1 answer:

4 0

Ok so I believe the simplest form of a ratio would mean no decimals, so we can simply multiply 3.5 and 800 by 2, which would give us 7:1600.

We can see that 7 and 1600 have no common factors, hence 7:1600 is the simplest form of the ratio 3.5:800.

Hope this helps!

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PLEASE HELP QUICK 3t-2=-11

valentina_108 [34]

-3
step by step
add 2 to -11 and divide-9 by 3

5 0

3 years ago

Read 2 more answers

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

Amanda [17]

<h2>Greetings!</h2>

Answer:

Option 4

Step-by-step explanation:

Firstly, we need to make the two x's or the two y numbers the same. Lets multiply the second equation by 2:

(2x + 3y = 5 ) * 2 =

4x + 6y = 10

Now, subtract the second equation from the first one:

(4x - y = -11) - (4x + 6y = 10)

4x - 4x = 0

-y - 6y = -7y

-11 - 10 = -21

-7y = -21

Divide both sides by -7:

y = 3

Plug 3 into the first equation as y:

4x - 3 = -11

4x = -11 + 3

4x = -8

x = -2

So x = -2 and y = 3. We need to find one of the options that equals this.

<h3>Option 1)</h3>

-4x - 9y = -21

-10y = -30

40x - 90y = -210

-90y = -270

40x - 0 = 40x

-90y - - 90y = -90 + 90 = 0y

-210 - -270 = -210 + 270 = 60

40x = 60

x = 1.5

We already know this isn't equivalent because the x value is not the x value of the given equation.

<h3>Option 2) </h3>

4x + 3y = 5

2y = -6

_______

8x + 6y = 10

6y = -18

8x - 0 = 8x

6y - 6y = 0

10 - -18 = 10 + 18 = 28

8x = 28

x = 3.5

So we know this isn't equivalent because again, the x value isn't the same as the given equation.

<h3>Option 3</h3>

7x - 3y = -11

9x = -6

-----------

63x - 27y = -99

63x = -42

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

63x - 63x = 0

-27y - 0 = -27y

-99 - - 42 = -99 + 42 = -57

-27y = -57

-9y = -19

9y = 19

y = 19/9

So we know this one isn't equivalent as the y value isn't the same as the given equation.

<h3>Option 4</h3>

12x - 3y = -33

14x = -28

x = -28/14 = -2

12(-2) - 3y = -33

-24 - 3y = -33

-3y = -33 + 24

-3y = -9

y = 9/3

y = 3

So x = -2 and y = -3 which is the same as the first equation.

<h2>Hope this helps!</h2>

3 0

3 years ago

Read 2 more answers

Jennifer bought a piece of wire for a crafts project that was 8/9 of a yard

nadya68 [22]

7/18! This is because if you double both the top and bottom of 8/9 you get 16/18. Half of 18 is 9. So if we use half a yard, 9/18, and we subtract it from 16/18, we get 7/18!

6 0

2 years ago

How do you solve this equation: 1988 = 28(p + 15)

WINSTONCH [101]

Answer:

see Below

Step-by-step explanation:

Let's solve your equation step-by-step.

1988=28(p+15)

Step 1: Simplify both sides of the equation.

1988=28(p+15)

1988=(28)(p)+(28)(15)(Distribute)

1988=28p+420

Step 2: Flip the equation.

28p+420=1988

Step 3: Subtract 420 from both sides.

28p+420−420=1988−420

28p=1568

Step 4: Divide both sides by 28.

28p

1568

p=56

Answer:

p=56

4 0

3 years ago

The water level of a river is 170feet. The river recedes 4 feet each year. Ingrid claims that the equation that represents this

Leona [35]

Answer:

Step-by-step explanation:

In the equation y = mx + b, which is the form Ingrid's equation is in, the m stands for the rate of change. If the water level is decreasing, the rate at which it is decreasing is what goes in for m. The "b" of that equation indicates the starting height of the water, which is 170. The equation should be:

y = -4x + 170, negative because the water is decreasing.

4 0

2 years ago