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3 years ago

What is the standard form of x/4 - y/3 =1 and 5/x - 2/y=7.

1 answer:

5 0

You can multiply both sides by a number that will get rid of the denominators. For ex. you can multiply the first equation by 12 because 4 and 3 both go into 12 evenly. MAKE SURE YOU MULTIPLY THE OTHER SIDE BY 12 AS WELL! Therefore, 12(x/4) - 12(y/3) = 12(1), or 3x - 4y = 12

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For the following problem state the objective function and the constraints. DO NOT solve:

Mama L [17]

Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

$P=3S+5H$

The restriction for cloth can be written as:

$S+2H\leq500$

The restriction for metal can be written as:

$2S+3H\leq600$

The restriction for wood can be written as:

$4S+7H\leq800$

The condition for S and H to be positive is:

$S, H \geq0$

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

$P=3S+5H$

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

$S+2H\leq500$

The restriction for metal can be written as:

$2S+3H\leq600$

The restriction for wood can be written as:

$4S+7H\leq800$

The condition for S and H to be positive is:

$S, H \geq0$

5 0

3 years ago

A color called “shocking pink” is made by mixing red paint with white paint. The ratio of red to white is 2 to 7. How much red p

Marrrta [24]

To solve this you can multiply the white paint by $\frac{2}{7}$ to find the amount of red paint to add which is 32/7 oz or roughly 4.5 oz

7 0

3 years ago

The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is t

Anon25 [30]

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

3 0

3 years ago

In order to solve for the variable in the equation 2 (4 x + 3) + 4 = 3 x minus (2 x + 4), Giovanni first applies the distributiv

Alenkinab [10]

Answer:

8x + 6 + 4 = 3x - (2x + 4)

Step-by-step explanation:

When Gio applies the distributive property, the equation above is the result. Naturally, I look at the 1st parenthesis I see and start the 1st distributive property there first. The 2nd distributive property would be the other parenthesis where you multiply by -1, so you would get 8x + 6 + 4 = 3x - 2x - 4

5 0

3 years ago

Read 2 more answers

the highest recorded temperature was 134 degrees fahrenheit. The lowes is -128.6 degrees fahrenheit. What is the difference betw

Mazyrski [523]

Answer:

263.4 degree difference

Step-by-step explanation:

134+.4

134.4+128=262.4

8 0

3 years ago