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rjkz [21]
3 years ago
15

Jan uses 22.5 gallons of water in the shower. This amount is 7.5 gallons less than what she uses when washing her clothes. Write

and solve an equation to find out how many gallons she uses to wash her clothes.
Mathematics
1 answer:
arsen [322]3 years ago
3 0

22.5 (shower) = X (variable used in place of the amount of water she uses to wash clothes) - 7.5 (the amount she used in the shower is 7.5 gallons less than she uses for washing clothes)

22.5 = X - 7.5 《 This is the equation.

Solve is by adding 7.5 to both sides to cancel out the negative 7.5 and you get (X = 30).

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Which of the following constants can be added to x2 - 3x to form a perfect square trinomail?
serious [3.7K]

The constant that can be added to x^2 - 3x to form a perfect square trinomial is 2\frac{1}{4}

The given expression is

x^2 - 3x

To form a perfect square trinomial

(a-b)^2 =a^2-2ab+b^2

The given expression is

x^2 - 3x

first we have to add a constant term with it

x^2 - 3x + z

By comparing the given expression and the perfect square trinomial

a^2 =x^2

a = x

Similarly

-2ab = 3x

where know a =x

Then,

-2b = 3

b = -3/2

Similarly

b^2 = z

(\frac{-3}{2})^2 = z

9/4 = z

Convert the simple fraction to mixed fraction

9/4 = 2\frac{1}{4}

Hence, the constant that can be added to x^2 - 3x to form a perfect square trinomial is 2\frac{1}{4}

The complete question is :

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

1\frac{1}{2},2\frac{1}{4} and 4\frac{1}{2}

Learn more about perfect square trinomial here

brainly.com/question/16615974

#SPJ1

4 0
1 year ago
Find the slope and y-intercept of equation y= 10x + 18
pickupchik [31]

Answer:

slope is 10

y-intercept is 18

Step-by-step explanation:

3 0
3 years ago
Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 18 feet. The perimeter of the dog run mu
ale4655 [162]

Answer: 3\leq x \leq 18

Step-by-step explanation:

Given, the length of the rectangular dog run is 18 feet.

Formula: Perimeter = 2 ( length + width)

Let width be x.

Then, Perimeter = 2 (18 + x ) feet

The perimeter of the dog run must be at least 42 feet and no more than 72 feet.

That is  

42\leq 2 (x+18)\leq 72

Divide inequality by 2, we get

21\leq 18+x\leq 36

Subtract 18 from each side, we get

3\leq x \leq 18

Required inequality : 3\leq x \leq 18

6 0
3 years ago
If the simple interest on ​$1000 for 2 years is ​$​100, then what is the interest​ rate?
iogann1982 [59]

Answer:

R = 450%/year

Equation:

r = (1/t)(A/P - 1)

Converting r decimal to R a percentage

R = 4.5 * 100 = 450%/year

4 0
2 years ago
Read 2 more answers
What is the answer?<br><br> Y= -x-4 <br> Y=x
Mashcka [7]
Do you mean like this?

Y = -x - 4
Y = x

x = -x - 4
2x = -4
x = -2

Therefore y = -2
7 0
3 years ago
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