Unit rate for 490 in 3 1/2 hour

The first  step is to divide 13 by 20. You will come out to 0.65. It will be 65%.

In the number 123,456,789, the digit with the greatest value is 1.

The explanation is as given:

Each digit contributes value based on its position in the number. The leftmost digit holds the highest place value.

In this case, the digit 1 is in the hundreds of millions place.

1 (in the hundreds of millions place) = 1 x 100,000,000 = 100,000,000

Although the digit 9 appears at the end, it's in the ones place, which has the lowest weight (9 x 1 = 9).

Therefore, the digit with the greatest value is 1, and its value is 100,000,000.

80% as a fraction in reduced form is 4/5.

To express 80% as a fraction in reduced form, you need to convert the percentage to a fraction. The term reduced form means simplifying the fraction to its lowest terms.

Here's a step-by-step explanation:

Step 1: Understand what a percentage represents

A percentage is a way to express a fraction or ratio out of 100. So, when you see 80%, it means 80 out of 100.

Step 2: Write the percentage as a fraction

To convert a percentage to a fraction, you can write it as a fraction with the percentage as the numerator and 100 as the denominator. Therefore, 80% can be written as 80/100.

Step 3: Simplify the fraction

To reduce the fraction to its lowest terms, you need to find the greatest common divisor (GCD) between the numerator and denominator. In this case, both 80 and 100 can be divided by 20. Dividing both the numerator and denominator by 20, we get:

80/100 = (80 ÷ 20) / (100 ÷ 20) = 4/5.

Step 4: Interpret the reduced fraction

The fraction 4/5 is the reduced form of 80%. It means that 80% is equivalent to four-fifths (4 parts out of 5).

Therefore, 80% as a fraction in reduced form is 4/5.

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Answer:

The greatest number of identical packages Shaquira can make is 21.

Explanation:

To find the greatest number of identical packages Shaquira can make, we need to determine the greatest common divisor (GCD) of the number of chocolate chip cookies and the number of sugar cookies. The GCD represents the largest number of identical packages that can be made.

Given:

- Chocolate chip cookies: 86

- Sugar cookies: 42

We can find the GCD using the Euclidean algorithm or by listing the factors of each number and identifying the largest common factor.

By listing the factors:

- Factors of 86: 1, 2, 43, 86

- Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

The common factors are 1 and 2. The greatest common factor (GCD) is 2.

So, Shaquira can make the greatest number of identical packages by dividing both the number of chocolate chip cookies and the number of sugar cookies by the GCD:

[tex]\( \frac{86}{2} = 43 \)[/tex] packages from chocolate chip cookies

[tex]\( \frac{42}{2} = 21 \)[/tex] packages from sugar cookies

Let us say that:

s = speed of Donna

s + 2 = speed of April

Then we are also given that:

t + (25/60) = time of Donna

t = time of April

The distance taken by the two should be equal. We know that distance is the product of speed and time, so:

s * (t + 25/60) = (s + 2) t

We also know that:

(s + 2) * t = 5

s = 5/t – 2

So that:

(5/t – 2) * (t + 25/60) = 5

5 + 125/60t – 2t – 50/60 = 5

25/12t – 2t – 5/6 = 0

Multiply everything by t:

- 2t^2 – 5/6 t + 25/12 = 0

t^2 + 5/12 t = 25/24

Completing the square:

(t + 5/24)^2 = 25/24 + (5/24)^2

t + 5/24 = ± 1.04

t = -1.25 h, 0.83 h

Since time cannot be negative, therefore t = 0.83 h

So,

(s + 2) * t = 5

s + 2 = 5/0.83 = 6 miles per hour

s = 4 miles per hour

Answers:

speed of Donna = 4 miles / hr

speed of April = 6 miles / hr

The number as a fraction will be 14 / 15. Then the number of students who said that summer break should be longer will be 14 out of 15.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Tomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the result as 0.9333......

Then the result can be written in the form of fractions that will be

0.9333...... = 14 / 15

Then the number of students who said that summer break should be longer will be 14 out of 15.

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5x - good ones

4x - bad ones

[tex] 4x=36\\ x=9\\\\ 5x=5\cdot9=45\\\\ 45+36=81 [/tex]

81

Answer:

Step-by-step explanation:

alright lets get started.

The side of cube is given by the function

[tex]s(v)=\sqrt[3]{v}[/tex]

If, Jason wants to build a cube with the minimum volume 64 cubic centimeters.

Plugging the value of volume in above function

[tex]s=\sqrt[3]{64}[/tex]

Taking the cubic root of 64

[tex]s=4[/tex]      :    

So, side s should be atleast or more than 4 to have the volume as 64,

[tex]s\geq4[/tex]   :   answer    option b

Hope it will help. :)

After accounting for the $5 processing fee, you can purchase approximately 5 concert tickets with $100, as each ticket cost $18.

To determine how many concert tickets you can buy for $100, we need to account for both the fixed processing fee and the variable cost per ticket. The processing fee is a one-time payment, and the cost per ticket is multiplied by the number of tickets you want to purchase. We can set up the following equation where T represents the number of tickets:

$5 + $18T = $100

First, we subtract the processing fee from the total amount of money available:

$100 - $5 = $95

Now we divide the remaining amount by the cost per ticket:

$95 / $18 = 5.28

Since you cannot buy a fraction of a ticket, you would be able to purchase 5 tickets with $100, with a remaining balance of $5 (since 5 tickets cost $90, plus the $5 processing fee).

Answer:

Your answer would be 3.0 X 10^5

Step-by-step explanation:

3.6 X 10^8 over 1.2 X 10^3 would give you 300000 which we put in scientific notation which we move the decimal 5 places to the left. Then we get 3.0 X 10^5

Hope this helps! :-)

sqrt(570025)= 755 feet

 one side is 755 feet

 the hint told you how to solve it

Answer:

With 16.32 square yards, James gets 12 patches.

With 32.64 square yards, he gets 6 patches.

Step-by-step explanation:

James has 195.84 square yards of land he can use to grow vegetables.

He wants to divide this into patches of 16.32 square yards.

So, he will get [tex]\frac{195.84}{16.32}=12[/tex] equal patches.

If he wants to create garden patches with an area of 32.64 square yards, then he gets [tex]\frac{195.84}{32.64}=6[/tex] patches.