Caleb's mother said they will drive 1 /4 hour to get there, and they will drive another 1 /4 hour back. Once they arrive, Caleb's brother will be playing in 3 soccer games. Each soccer game takes 3 4 hour, and there is no break in between games. Calculate how long will they be away from home.

Answers

Answer 1
Answer:

Answer: They are away for 2(3)/(4)\ hours from home.

Step-by-step explanation:

Since we have given that

Time to get there = (1)/(4)

Time to get back = (1)/(4)

Number of soccer games = 3

Time for each soccer games = (3)/(4)

So, total time for 3 games would be

3* (3)/(4)=(9)/(4)

So, the time for which they will be away from home is given by

(1)/(4)+(9)/(4)+\frac{1}4}=(1+9+1)/(4)=(11)/(4)=2(3)/(4)\ hours

Hence, they are away for 2(3)/(4)\ hours from home.


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What is the best approximation of the solution to the system, to the nearest integer values?( , ) Graph of a System of Linear Equations. Line 1 is x plus 2y equals 10. Line 2 is 2x minus 3y equals negative 9. The lines intersect at about 1.7, 4.1.

x+2y=10 2x-3y=-9

Answers

Answer

Solution of the system:

x=2,y=4  or as ordered pair: (2, 4)

Explanation

Remember that the point of intersection of two lines is the solution of the system of linear equations. We know from our graph that our lines intersect at the point (1.7, 4.1), so the solution of our system of linear equations is (1.7, 4.1).

Now, to obtain the nearest integer of a decimal, we focus on the number after the decimal point: if the number is five or bigger than five, we add 1 to our integer; if the number is less than five, we keep the integer as it is.

For 1.7

The number after the decimal point is 7. Since 7 is bigger than 5, we add 1 to our integer, so the nearest integer of 1.7 is 2

For 4.1

The number after the decimal point is 1. Since 1 is less than 5, we keep our integer as it is, so the nearest integer of 4.1 is 4

1.7\approx2\n4.1\approx4\n\n(2,4)

Tell me $154 for 11 hours of work at the same rate how many hours would he have to work to make 182

Answers

Answer:

13 hours

Step-by-step explanation:

find the hourly rate by dividing $154 by 11

$154 ÷ 11 = $14 per hour

now divide 182 hours by the hourly rate , that is

182 ÷ 14 = 13

He would have to work 13 hours to make $182

Eight over three times three over one

Answers

Answer: 8

Step-by-step explanation: 8/3 x 3/1 = 8

26 students in a hostel have provisions for 60 days if 10 more student are admitted to the hostel for how many days would the provisions be enough?​

Answers

Answer:

About 43 days

Step-by-step explanation:

Let's assume that the provisions in the hostel are consumed at a constant rate by each student per day. To find out how long the provisions would last with an additional 10 students, we need to consider the total number of students after the new admissions.

Initially, there are 26 students, and the provisions last for 60 days. Therefore, the total provision "student-days" is 26 students multiplied by 60 days, which equals 1560 student-days.

If 10 more students are admitted, the total number of students becomes 26 + 10 = 36 students.

To calculate how many days the provisions would last for 36 students, we divide the total provision "student-days" by the new total number of students:

1560 student-days / 36 students = 43.33 days (approximately)

Therefore, with 10 more students admitted, the provisions would be enough for approximately 43 days.

Answer:

44 days for the 36 students.

Step-by-step explanation:

Let's break down the information given:

Initially, there are 26 students in the hostel and provisions for 60 days. This means that the total "student-days" that the provisions can support is 26 students * 60 days = 1560 student-days.

Now, 10 more students are admitted to the hostel. So, the total number of students becomes 26 + 10 = 36 students.

We want to find out for how many days the provisions will be enough for these 36 students.

We can set up a proportion to solve this:

Initial student-days = New student-days

1560 student-days = 36 students * x days

Now solve for x:

x = 1560 student-days / 36 students

x = 43.33 days

Since you can't have a fraction of a day, we'll round up to the nearest whole day. Therefore, the provisions would be enough for approximately 44 days for the 36 students.

(35 + 5)[16 + (12 divide 4)]

Answers

The evaluation on of the expression (35 + 5)[16 + (12 divide 4)] is 760

From the given expression;

  • (35 + 5)[16 + (12 divide 4)]

By using the BODMAS method, We will solve the terms in brackets separately first before division, multiplication, addition, and subtraction.

As such, we have:

  • = (40) [ 16 + (3)]
  • = (40) [ 19]
  • = 760

Learn more about the BODMAS method here:

brainly.com/question/9352415?referrer=searchResults

Answer:

59

Step-by-step explanation:

A 16- ounce bottle of fresh water is $1.76. A 20-ounce bottle of spring water is $2.40. Which statement about the unit price is true? A. Spring water has a lower unit price of $0.12/ounce
B. Fresh water has a lower unit price of $0.11/ounce
C. Fresh water has a lower unit price of $0.12/ounce
D. Spring water has a lower unit price of $0.11/ounce

Answers

To find the unit price of each item you want to divide:

Fresh water:

$1.76 / 16 = $0.11

Spring water:

$2.40 / 20 = $0.12

So the statement that is true is B) Fresh water has a lower unit price of $0.11/ounce.

Hope this Helps!!