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3 years ago

UREKA MATH

Mathematics

1 answer:

Citrus2011 [14]3 years ago

5 0

Answer: 6 to 1, 6: 1 or $\frac{6}{1}$

Explanation:

In mathematics, the purpose of a ratio is to compare the quantity or values of two different items. For example, if in a recipe 1 spoon of sugar needs to be added for every 3 spoons of water the ratio of spoons of sugar to water is 1 to 3.

In this context, the first step is to find the values of the two items compared. In the case presented these items are the eyes in a spider vs the number of spiders. Also, it is known each spider has 6 eyes. This means the ratio of eyes to spides is 6 to 1, which means for each 6 eyes there is 1 spider. Moreover, this ratio can be written as 6 to 1, using a colon as 6: 1, or as a fraction $\frac{6}{1}$ .

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You have nine books that you want to arrange on a book shelf. How many different ways can you arrange the books on one shelf?

laila [671]

oh its easy you can do 3 books each layer

8 0

3 years ago

A trapezoid has an area of 13.5 square inches. If the bases are 3 and 6 inches what is the height?

liraira [26]

Well the formula is : b1+b2/2 (h)

so the height would be solved as :
13.5 = 3+6/2 (h)
13.5 = 9/2 (h)
h = (13.5)/(9/2)
h = (13.5) x (2/9) *reciprocal*
h = (27) / (9)
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5 0

3 years ago

Solve the following linear equation for k.<br> 2 (k-5) + 3k = k + 6

kiruha [24]

Answer:

2(k-5)+3k=k+6

-3k. -3k

2(k-5)=-2k+6

/2. /2

k-5=-k+3

+k. +k

2k-5=3

+5. +5

2k=8

/2. /2

k=4

7 0

3 years ago

How much will have to deposit into an account that pays 5.25% simple interest today, in order to earn $345.45 interest in seven

Ann [662]

To earn $345.45 simple interest in 7 years, you have to invest $940.

<u>Step-by-step explanation:</u>

Step 1:

Given details are Simple Interest Rate (R) = 5.25%, Simple Interest (SI) = $345.45, Time (T) = 7 years

Step 2:

Use the above details to find principal using the formula for Simple Interest (SI) = PRT/100

⇒ 345.45 = (P × 5.25 × 7)/100

⇒ 34545 = 36.75 P

⇒ P = $940

3 0

3 years ago

How do you add a fraction and a whole? Please explain step by step to get marked as brainliest

Dimas [21]

Step-by-step explanation:

How do you add a fraction and a whole number?

add

Whole numbers are all natural numbers including 0.

A fraction represents a numerical value, which defines a part of a whole.

Answer: To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

Let's look into the steps to add a fraction to a whole number.

Explanation:

Convert the whole number into a fraction by taking the denominator as 1.

Compare the denominators and make them common so that they become like fractions.

Add the numerators of the two fractions.

Example: Add 2/15 and 5

Step 1: Converting the whole number into a fraction.

5 in terms of a fraction is written as 5/1

Step 2: Make the denominator common.

Since, 2/15 has 15 as the denominator, hence, we need to make the denominator of 5/1 as 15

Multiplying numerator and denominator with 15 we get,

(5 × 15) / (1 × 15) = 75/15

Step 3: Adding the numerators of the two fractions.

2/15 + 75/15 = (2 + 75)/15 = 77/15

Thus, to add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

5 0

2 years ago