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3 years ago

Why is 5.1 a rational number

Mathematics

1 answer:

Ainat [17]3 years ago

4 0

Answer:

5.1 can be written as 51/10 (the quotient of the integers 51 and 10. So it is a rational number

Step-by-step explanation:

Recall that a rational number is a number that can be written as the quotient of two integer numbers.

In particular the number 5.1 can be written as 51/10 (the quotient of the integers 51 and 10. So it is a rational number.

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Shanfords shoe store received a shipment of shoes for its newest location. the maneger determined that 35% of shoes were athleti

Thepotemich [5.8K]

35/100 but if it is simplified it is 7/20

7 0

4 years ago

the quadratic p(x)=.65x squared - .047x +2 models the population p(x) in thousands for a species of fish in a local pond, x year

ivanzaharov [21]

Answer:

2007

Step-by-step explanation:

we have

$p(x)=0.65x^{2} -0.047x+2$

This is a vertical parabola open upward

The vertex represent a minimum

p(x) is the population in thousands for a species of fish

x is the number of years since 1997

Remember that p(x) is in thousands

If the population reach 66,530 fish

then

the value of p(x) is equal to

p(x)=66.53

substitute in the quadratic equation

$66.53=0.65x^{2} -0.047x+2$

$0.65x^{2} -0.047x+2-66.53=0$

$0.65x^{2} -0.047x-64.53=0$

Solve the quadratic equation by graphing

The solution is x=10 years

see the attached figure

therefore

Find the year

Adds 10 years to 1997

1997+10=2007

7 0

3 years ago

Help guys pleaseeeee

kkurt [141]

<h2>Answers:</h2>

Exercise 34.

$4t+72\geq 400$ and $t\leq82$ .

Exercise 35.

$30t-4$ .

<h2>Step-by-step explanation:</h2>

<h2><u>Exercise 34.</u></h2>

1. Forming the inequality.

Let's make the left side be a calculation of the total earning based on the number of tickets sols. Also, let's make the right side the cost of the dance to compare and find an adecuate minimum value of x.

$4t+72\geq 400$ .

<em>We use the </em><em>"greater or equal to"</em><em> symbol because the side of x expresses the earning of the committee, and these earnings will have to be equal or greater than the cost of the dance to be able to organize the dance.</em>

2. Solving the inequality.

$4t+72\geq 400\\ \\4t\geq 400-72\\ \\4t\geq 328\\ \\t\geq\frac{328}{4} \\ \\t\geq82$

3. Express your results.

$t\leq82$ , therefore, the dance committee will have to sell at least 82 tickets to be able to cover the cost of the dance.

<h2><u>Exercise 35.</u></h2>

$2-6(-5t+1)$

<em>Apply the associative property of multiplication.</em>

<em>Rule to be applied: </em> $a(b+c)=ab+ac$ .

$2+(-6)(-5t)+(-6)(1)=\\ \\2+30t-6\\ \\30t-4$

Result.

$30t-4$ .

4 0

2 years ago

MARKING BRAINLIEST<br><br> For what value of x is the rhombus below?

xenn [34]

Answer:

x=2

Step-by-step explanation:

If this figure is a rhombus, then the two sides have to be equal:

3x+9=8x-1

Move like terms to one side (note that when you move it, the sign flips. Ex: - becomes +)

3x-8x=-9-1

-5x=-10

Divide both sides by -5

x=2

7 0

3 years ago

Find the value of x and y in the parallelogram.

enot [183]

Answer:

there is no picture

Step-by-step explanation:

6 0

3 years ago