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Reptile [31]
2 years ago
5

Write this ratio as a fraction in simplest form without any units. 28 quarts to 9 gallons You can use the table below to help co

nvert the units. Length Weight Capacity (Volume) 1 foot 12 inches 1 yard = 3 feet 1 pound = 16 ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts​
Mathematics
1 answer:
jolli1 [7]2 years ago
4 0

Answer:

  7/9

Step-by-step explanation:

In order to write the fraction without any units (as a pure number), we must have units in the numerator and denominator that are the same. Then the units cancel.

<h3>Convert to gallons</h3>

We are given the conversion ...

  4 quarts = 1 gallon

Multiplying by 7, we see ...

  28 quarts = 7 gallons

<h3>Ratio</h3>

This lets us write the desired fraction as ...

  (28 quarts)/(9 gallons) = (7 gallons)/(9 gallons) = 7/9

The ratio in simplest form is 7/9.

You might be interested in
In a unit circle, ø = 2pi radians What is the terminal point?
BlackZzzverrR [31]

Answer:

The terminal point is (1, 0) ⇒ D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

  • The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
  • The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
  • The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
  • The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

∵ Ф = 2π radians

∵ 2π radians = 360°

→ By using the 1st rule above

∴ The terminal point is (1, 0)

5 0
3 years ago
Carl wants to plant a garden that is 1 1/2 yards long and has an area of 3 1/2 yd.² how wide should the Garden be
lesya692 [45]
L= length= 1 1/2 yards
A= area= 3 1/2 yards^2
w= width

Area= length * width
plug in numbers you know
3 1/2= (1 1/2)(w)
convert to improper fractions
(3*2+1)/2= ((1*2+1)/2)(w)
7/2= 3/2w
divide both sides by 3/2
7/2 ÷ 3/2= w
to divide fractions, multiply by the reciprocal/inverse of 3/2
7/2 * 2/3= w
(7*2)/(2*3)= w
14/6= w
reduce by 2
7/3= width as improper fraction
OR
2 1/3= width as mixed fraction

ANSWER: The width should be 2 1/3 yards wide (or 7/3 yards wide).

Hope this helps! :)
8 0
3 years ago
Riley bought 30 festival tickets for his friends and paid $145.How much did each ticket cost?
Sladkaya [172]

Answer: $4.83

Step-by-step explanation:

you do 145/30=4.8333

<u>Can i please have brainliest, if not thats alright</u>

<u>Have a good day</u>

7 0
3 years ago
Read 2 more answers
set up a skeletal profit and loss statement in boss dollars and percentage if your year-end profit is 7800, the profit percentag
tatiyna

ne s o

Step-by-step explanation:

6 0
3 years ago
DOES ANYONE KNOW HOW TO DO THIS????????
Harrizon [31]

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Step-by-step explanation:

Correlation is the link between two things or variables.

The scatter plots can be used to determine the correlation values for given sets of data.

If both values are increasing, then the correlation is positive

If one value is increasing and the other is decreasing then the correlation is negative

So,

In the given pictures

Figure 4 has the correlation coefficient closest to 1 as both values are increasing but the data points are not in a straight line so r will be close to 1.

Figure 3 has the correlation coefficient equal to one as one value is increasing and the other is decreasing. And the points are in a straight line so r will be equal to one.

As the data points in Figure 1 are more scattered so there will be no relationship between two quantities.

So, the answers are as follows

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Keywords: Correlation, Data set

Learn more about correlation at:

  • brainly.com/question/12884373
  • brainly.com/question/12896802

#LearnwithBrainly

4 0
3 years ago
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