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3 years ago

Is the expression 3 (xx+1 1/2)- 3 equivalent to 3x+ 1 1/2?

Mathematics

2 answers:

madreJ [45]3 years ago

5 0

Yes it is ! The answer

Nady [450]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

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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

7 0

3 years ago

Read 2 more answers

If 24 students in class, 3/8 ride the bus to school. How many students ride the bus

Thepotemich [5.8K]

Im going to keep it simple, the answer is 9

6 0

3 years ago

Failing please please

Yuliya22 [10]

Answer:

A = 102m squared (Brainiest?)

Equation = b x h / 2

Step-by-step explanation:

A = (12 x 17) / 2

A = 204 / 2

A = 102m squared

5 0

3 years ago

How many solutions does the following absolute value equation have? |x+3|=4

bekas [8.4K]

It has two solutions.
The first solution is x = -7
The second solution is x = 1

Hope this helps!

3 0

4 years ago

Find the lengjth of the missing figure.<br>x=__cm

miv72 [106K]

Answer:

X = 16 cm

Step-by-step explanation:

Pythagoras law is :

20^2 = X^2 + 12^2

400 = X^2 +144

400 - 144 = x^2

256 = x^2

x = ( 256 ) ^1/2

X=16

3 0

3 years ago