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3 years ago

Write the decimal in simplest fractional form: 2.25

Mathematics

2 answers:

aliya0001 [1]3 years ago

7 0

Answer:

9/4

Step-by-step explanation:

0.25 is one fourth and if you convert the whole number into fourths and add the one fourth from the decimal it is 9/4

777dan777 [17]3 years ago

5 0

Answer:

9/4

Step-by-step explanation:

First ever need to make this decimal a fraction.

Convert decimal to fraction

2.25 = 225/100

Now we need to simplify.

<u>225/25</u>=<u>9</u>

100/25=4

9/4 or 2 1/4

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Evaluate the expression below. 20 – ||–13| + 17|

Vladimir [108]

Answer:

The answer would be -10

Step-by-step explanation:

Reason would be that since -13 is surrounded by the symbol, you would make it positive 13, then add 17 to get 30. from there you can subtract 30 from 20 to get -10.

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Select the correct answer. Consider functions f and g.

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Dmitry [639]

Answer:

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Step-by-step explanation:

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3 years ago

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Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each

Basile [38]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is $x^{2} -30x+224\geq 0$

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

The cookies left in each bag are

(x-6) ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

$(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0$

Multiply by -1 both sides

$x^{2} -30x+224\geq 0$

Part 2) Solve the quadratic equation

$x^{2} -30x+224\geq 0$

Solve by graphing

The solution is x=16 cookies

(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag is equal to

Jessica

16-6=10 cookies

Martha

14-6=8 cookies

Jessica has at least 2 cookies more than Martha

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3 years ago

Read 2 more answers

At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.

Viefleur [7K]

Answer:

(-4;2)

Step-by-step explanation:

1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;

2. if x+4y=4, it is possible to re-write it as x+4y-4=0;

3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.

4. if y=2, then it is possible to substitute its value into any equation given in the condition:

x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.

5. finally x= -4; y=2. It means (-4;2)

PS. the suggested solution is not the only way to resolve this task.

6 0

3 years ago