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Mars2501
27 days ago
5

A family of five recently replaced its 5-gallon-per minute showerheads with water-saving 2-gallon per minute showerheads. Each m

ember of the family averages 8 minutes in the shower per day. In a 30-day period, how many few gallons of water will the family use with the new showerheads?
1. 60
2. 800
3. 2400
4. 3600
5. 7200
Mathematics
1 answer:
Inessa [9K]27 days ago
3 0

Answer:

2400 gallons of water

Step-by-step explanation:

The new shower head dispenses 2 gallons per minute, unlike the old version.

On average, each family member showers for 8 minutes daily, which results in each person using 8 multiplied by 2 gallons each day.

There are five members in the family.

If one individual consumes 8 multiplied by 2 gallons per day, then five individuals will use 8 multiplied by 2 multiplied by 5.

In a month (30 days), the total water usage will be:

= 8 multiplied by 2 multiplied by 5 multiplied by 30

= 2400 gallons.

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The value of x is 12. This can be found using the Pythagorean theorem with c equal to 13 and b equal to 5, where a equals x.
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My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter. How many
AnnZ [9104]

Answer:

According to my cupcake recipe, it yields $12$ cupcakes and calls for $1\frac{1}{2}$ sticks of butter. I can only purchase whole sticks of butter.

Consequently, a single whole stick of butter will suffice to prepare $100$ cupcakes.


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On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults.
Svet_ta [9518]

Answer with explanation:

Total number of children = x

Total chocolates shared = y

In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.

Chocolates received by adults equal 20.

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Expressing this situation as an equation:

y = 5 x + 20 z

z=\frac{y-5 x}{20}

⇒Number of adults = z

       =\frac{y-5 x}{20}

3 0
1 month ago
Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6
AnnZ [9104]

Answer:

At h=0.1, the calculated value of y(1.2) equals 15.920, and for h=0.05, y(1.2) amounts to 16.523.

Step-by-step explanation:

Given,

f(x,y)=\frac{dy}{dx}=2x+3y+1 with y(1)=9.

This means when x=1, y=9 initially.

To determine the value of y= f(x,y) at x_n=x_0+nh=1.2when h=0.1 and h=0.05, we will implement a C program using Euler's method resulting in, for h=0.1:

#include<stdio.h>

float fun(float x, float y)

{

  float f;

  f=2x+3y+1;

  return f;

}

main()

{

   float a,b,x,y,h,t,k;

   printf("\ Enter x0,y0,h,xn:");

   scanf("% f % f % f % f ", & a, &b, &h, &t);

   x=a;

   y=b;

   printf("\n x\t y\n");

   while (x<=t)

{

   k=h*fun(x,y);

   x=x+h;

   y=y+k;

   printf("%0.3f\%0.3f\n",x,y);

}

}

Using initial values x0=1, y0=9, h=0.1, and xn=1.2, we reach results, y(1.2)=15.920.

Subsequently, using values x0=1, y0=9, with h=0.05, and xn=1.2 yields y(1.2)=16.523.

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5 days ago
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Zina [9179]
Refer to the image below.

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22 days ago
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