A system of equations where both X and Y cancel and you are left with just a number is called

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plant

VladimirAG [237]

Answer:

a) $2\frac{7}{12}$ kg of plant food did Sheldon have left.

b) She need is $\frac{43}{12}$ kg and she don't have enough to left.

Step-by-step explanation:

Given : On Sunday, Sheldon bought $4\frac{1}{2}$ kg of plant food. He used $1\frac{2}{3}$ kg on his strawberry plants and used $\frac{1}{4}$ kg for his tomato plants.

To find :

a) How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Solution :

Sheldon bought plant food $4\frac{1}{2}=\frac{9}{2}$ kg.

He used strawberry plants $1\frac{2}{3}=\frac{5}{3}$ kg.

He used tomato plants $\frac{1}{4}$ kg

Kilograms of plant food did Sheldon have left is given by,

$L=\frac{9}{2}-(\frac{5}{3}+\frac{1}{4})$

$L=\frac{9}{2}-\frac{23}{12}$

$L=\frac{54-23}{12}$

$L=\frac{31}{12}$

$L=2\frac{7}{12}$

Therefore, $2\frac{7}{12}$ kg of plant food did Sheldon have left.

b) Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will he need? Does he have enough left to do so?

Solution :

Sheldon wants to feed his strawberry plants 2 more times.

i.e. Strawberry plants used is $2(\frac{5}{3})=\frac{10}{3}$ kg.

His tomato plants one more time i.e. $\frac{1}{4}$ kg.

Total plant she need is $\frac{10}{3}+\frac{1}{4}=\frac{43}{12}$

As $\frac{31}{12}$

No she don't have enough to left.

4 0

3 years ago

16. Scale factor is a ratio _____ to a side to find its corresponding side. (mathematical operation)

mel-nik [20]

Answer:

of their corresponding sides.

3 0

3 years ago

(8/9)^2 I need to evaluate this

tigry1 [53]

(8/9)^2 is just 8/9 squared, or 8/9 * 8/9. This is 64/81, and cannot be reduced. This is therefore our answer.

7 0

3 years ago

Read 2 more answers

3x + 1 = 5X-13 if anyone knows what to do can they please help

Elza [17]

Answer:

x = 7

Step-by-step explanation:

First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).

If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.

I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.

3x -3x +1 = 5x -3x -13

1 = 2x -13 . . . . . . . . . . . . combine like terms

Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:

1 +13 = 2x -13 +13

14 = 2x . . . . . . . . . . . . combine like terms

Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.

(1/2)(14) = (1/2)(2x)

7 = x . . . . the solution

__

It is generally a good idea to check your work by seeing if your solution value satisfies the equation:

3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation

21 +1 = 35 -13

22 = 22 . . . . . . x = 7 is the solution

_____

Additional comment

By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...

-2x +1 = -13

Subtracting 1 would give

-2x = -14

and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.

5 0

3 years ago

6. For what value of p, the binary number 110P/2 represents 25?

lions [1.4K]

Step-by-step explanation:

25 as binary number is

11001

1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25

25×2 = 50 = 11001 × 2 = 110010

multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.

and so, we see

110P = 110010

P = 010

FYI : you normally don't mix binary and decimal numbers. if one of the numbers is binary, then all the others have to be binary too.

so, the problem should have looked like

110P/10 = 11001

110P = 11001×10 = 110010

P = 010

3 0

1 year ago

Read 2 more answers