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3 years ago

6

It’s 2019! To celebrate the New Year, students are going to count to 2,019. It takes 1 second to count each number. If they begi

n counting at 8:00 am, can they reach 2,019 before noon?

1 answer:

lys-0071 [83]3 years ago

6 0

Answer:

Yes they can

Step-by-step explanation:

1 hour is 3600 seconds

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Jim's soccer team is making fruit baskets for a fundraiser. They have 88 peaches, 60 bananas, and 54 kiwis to use. If each baske

cluponka [151]

The greatest number of fruit baskets they can make is 2 with each one having 44 peaches, 30 bananas and 27 kiwis

<h3><u>Solution:</u></h3>

Jim’s fruit basket has 88 peaches, 60 bananas and 54 Kiwis to use.

If each basket have same number of each type, we have to determine the greatest number of fruit baskets they can make

We need to find greatest common factor of 88, 60 and 54

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 88, 60 and 54:</u></em>

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88

Then the greatest common factor is 2

On dividing the number of fruits by 2 we get

$\begin{array}{l}{\text { Apples in each basket }=\frac{88}{2}=44} \\\\ {\text { Bananas in each basket }=\frac{60}{2}=30} \\\\ {\text { Kiwis in each basket }=\frac{54}{2}=27}\end{array}$

Hence, there can be 2 basket with each one having 44 peaches, 30 bananas and 27 kiwis

6 0

4 years ago

Andrea and sula ran a race on a track that was 100 meters long.When andrea crossed the finish line sula was exactly 5 meters beh

cestrela7 [59]

Andrea will be at 95 meters and Sula would win I think.

7 0

3 years ago

A square has an area of 121 square centimetres.<br> What is its perimeter?

Karolina [17]

Answer:

44 cm

Step-by-step explanation:

The area of a square is the square of the side length. This means the side length is the square root of the area.

s = √A = √(121 cm²) = 11 cm

The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:

P = 4s = 4(11 cm)

P = 44 cm

The perimeter of the square is 44 cm.

3 0

2 years ago

Read 2 more answers

Use the real zeros to factor f x^4 plus 10^3 minus 20x^2 minus 90x plus 99

Furkat [3]

Answer:

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

Step-by-step explanation:

f(x) = x⁴ + 10x³ − 20x² − 90x + 99

f(x) is a fourth order polynomial, so it has 4 roots. Use rational root theorem to find possible rational roots.

±99, ±11, ±9, ±3, ±1

By trial and error, the zeros are -11, -3, 1, and 3.

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

7 0

3 years ago

20% of city employees ride the bus to work. This is up 10% from last year. What percent of employees rode the bus to work last y

Pepsi [2]

Answer:

18.18% of employees rode the bus to work last year

Step-by-step explanation:

This question can be solved using a rule of three.

Last year, a proportion of x employees riding the bus was 100% = 1.

This year, 20% = 0.2 ride the bus, which is 100 + 10 = 110% = 1.1 of last year.

So

0.2 - 1.1

x - 1

$1.1x = 0.2$

$x = \frac{0.2}{1.1}$

$x = 0.1818$

0.1818*100 = 18.18%

18.18% of employees rode the bus to work last year

4 0

3 years ago