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2 years ago

I need help on number 32 plz some one help me

Mathematics

1 answer:

mario62 [17]2 years ago

6 0

Lizards can eat 45 ants per minute. To find how many minutes it takes for lizards to eat 1,080 ants, you have to divide the total amount of ants by how many it can eat per minute.

$\frac{1,080}{45}$

Divide 1,080 by 45

$1,080 \div 45 = 24$

It takes lizards 24 minutes to eat 1,080 ants

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You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

Oduvanchick [21]

Answer:

Part c)

The Slope of the line is: m=-50 and represents the amount of money spent per week.

Part d)

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

$y = mx+c$ Eqn(1).

where:

$y$ : is our dependent variable that changes as a function of x

$x$ : is our independent variable that 'controls' our equation of y

$m$ : is the slope of the line

$c$ : is our y-intercept assuming an $x$ ⇔ $y$ relationship graph.

This means that as $x$ changes so does $y$ as a result.

Given Information:

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

$c=300$

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

$m=50$

So finally we have the following linear equation of:

$y= - 50x + 300$ Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various $x$ values we have:

Week 1: $x=1$ we have $y= -50 *1 + 300 = -50 +300 = 250$ dollars.

Week 2: $x=2$ we have $y= -50 *2 + 300 = -100 +300 = 200$ dollars.

Thus having understood the above we can comment on the questions asked as follow:

Part c)

The Slope of the line is: $m=-50$ and represents the amount of money spent per week.

Part d)

The y-intercept is: $c=300$ and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0

2 years ago

The formula C= P(1-d

emmasim [6.3K]

D=1-C/P is the answer.

5 0

3 years ago

____ is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect inf

Tanya [424]

Answer:

Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.

Step-by-step explanation:

Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.

4 0

2 years ago

3(у - 3) - 2(у 4) = 4

Dennis_Churaev [7]

Answer:

y = 5

Step-by-step explanation:

3(у - 3) - 2(у -4) = 4

Distribute

3y -9 -2y +8 =4

Combine like terms

y -1 =4

Add 1 to each side

y-1+1 = 4+1

y = 5

3 0

3 years ago

Read 2 more answers

The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$