Which ratio is equivalent to the unit rate 30miles/1gallon? Explain how the unit rate is transformed into the equivalent ratio.
Responses
A 3gallons/10miles; by dividing the numerator and denominator of the unit rate by 10.3 gallons 10 miles ; by dividing the numerator and denominator of the unit rate by 10.
B 90miles/5gallons; by multiplying the numerator and denominator of the unit rate by 3.90 miles 5 gallons ; by multiplying the numerator and denominator of the unit rate by 3.
C 180miles/6gallons; by multiplying the numerator and denominator of the unit rate by 6.180 miles 6 gallons ; by multiplying the numerator and denominator of the unit rate by 6.
D 6gallons/180miles; by multiplying the numerator and denominator of the unit rate by 2.

Answer: \(y = \frac{1}{4} x - 1\)

Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where

In our case,

\(y = 650x\) is an illustration of a linear function

The function is given as:

\(y = 650x\)

Where:

\(x \to\) hours on the clock

Because x represents time, it cannot take a negative number.

So, the domain is \(x \ge 0\) or \([0,\infty)\)

Also:

x can take a whole number or decimal numbers

i.e. You can climb for 1 hour, 2 hours or part of an hour

When a data can take decimal, then such data is continuous.

Hence, the domain is continuous

Read more about domain and linear functions at:

https://brainly.com/question/4786835

Answer:

1.27 repeating

Step-by-step explanation:

Answer:

When p = 7, the expressions have the following values:

- StartFraction 49 Over p EndFraction = StartFraction 49 Over 7 EndFraction = 7

- 5p = 5(7) = 35

- 45 - p = 45 - 7 = 38

- 25 + p = 25 + 7 = 32

Therefore, the expression that has a value of 35 when p = 7 is 5p.

Answer:

B) 5p

Step-by-step explanation:

We have to solve each equation for when p=7

Option A)

\(\frac{49}{p}\\ =\frac{49}{7}\\ =7\)  This is incorrect.

Option B)

\(5p\\=5(7)\\=35\)  This is correct.

Option C)

\(45-p\\=45-7\\=38\)  This is incorrect.

Option D)

\(25+p\\=25+7\\=32\)  This is incorrect.

Option B is correct, hope this helps! :)

Answer:

c is the answer for the question

Answer:

c is ans as the union of the sets X and Y denoted by X U Y, is the set that contains those elements that are either in X or in Y, or in both. ...

Answer:

\(5x^3-18x^2+2x+21\)

Step-by-step explanation:

In the second step, -9x-21 should be 9x+21. This is because -3 in x-3, and -3x-7 in 5x²-3x-7 are both negative, so each term's product should be positive.

Also, in the third line, she wrote -3x²-15x² as -18x⁴ instead of -18x²,and similarly, she wrote -7x-9x as -16x² (however this is wrong anyway because step 2 was done incorrectly).

If we continued off from the second step with these corrected errors:

\(5x^3-3x^2-7x-15x^2+9x+21\\5x^3-18x^2+2x+21\)

Therefore, the correct simplification is \(5x^3-18x^2+2x+21\).

Answer:

5x^3-18^2 +2x +21

Step-by-step explanation:

Answer:

Hope This helps!^^

Step-by-step explanation:

3.

7^-2(-3) =-3/49

4.

a^-3b/b^-2

b^2/a^3

6^2/5^3

36/125 OR 0.288

Answer:

This helps! ^^

Step-by-step explanation:

3.

7^-2(-3) =-3/49

4.

a^-3b/b^-2

b^2/a^3

6^2/5^3

36/125 OR 0.288

Step-by-step explanation:

Answer: 26

We would add the total responses recorded in the Girls row, which is equal to 32. We would then subtract it from the total of that row, 38. 38 - 32 is equal to 6. 6 girls chose their answer as English. We can check our work by adding the responses to see if they added up to the total. Now we move to the boys. The Maths column is 5. The boys row is missing 2 things - english and total. We can find the total by subtracting 38 from 70. This is equal to 32. Now, we can add 7 and 5 (12) and subtract from the row total (32). This is equal to 20. 20 boys chose English.

Now we add the girls and boys. 6 + 20 is equal to 26. 26 is your answer.

Hope this helps.

Answer:

The one you chose is the correct answer.

Step-by-step explanation:

Adding all the \(x's\) up, you will get \(3.38x\). Adding up all the non-variable numbers, you get 20.22. Your answer is C.

hope this helped.

Answer:

x approximately equals 26.4

Step-by-step explanation:

\(C^{2}\) - \(B^{2}\) = \(A^{2}\)

\(29^{2}\) - \(12^{2}\) = 697

\(\sqrt{697}\) ≈ 26.4

Answer:

Step-by-step explanation:

A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.

What is the volume, in cubic centimeters, of the cereal box?

Answer:

D)5

Explanation:

opening the bracket, you get :2x+3 = 4x-4

solving further you ,that is collecting like times you will get 2x-4x = -4-6

Therefore,-2x = -10

Dividing both sides by -2,xis equal to 5.

I hope this helps…

Answer:

Step-by-step explanation:

5 (4x+3) - (3x-1) =

20x + 15 - 3x + 1 =

17x + 16

Answer:

Its 1 or 3 i think

Step-by-step explanation:

Answer:

To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:

Step 1: Distribute the negative sign on the left side of the equation:

-(x + 3) = 2(x - 3)

=> -x - 3 = 2(x - 3) (using the distributive property)

Step 2: Expand the right side of the equation:

-x - 3 = 2x - 6

Step 3: Add x to both sides of the equation to isolate the x term on one side:

-x + x - 3 = 2x + x - 6

=> -3 = 3x - 6

Step 4: Add 6 to both sides of the equation:

-3 + 6 = 3x - 6 + 6

=> 3 = 3x

Step 5: Divide both sides of the equation by 3 to solve for x:

3/3 = 3x/3

=> 1 = x

So, the correct value of x that makes the equation true is B. 1.

PLEASE MARK BRAILYISTT :D

Answer:

B, one

Step-by-step explanation:

In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.

Answer:

P(win)= 20/200 = 1/10

1/10 = 10%

fraction would be 1/10

hope this helps!!

Answer:

-9x-50/10

Step-by-step explanation:

\(\boldsymbol{\sf{\left(-\dfrac{3}{5}x-7\right)-\left(-12+\dfrac{3}{10}x\right)}}\)

Remove unnecessary parentheses.

\(\boldsymbol{\sf{-\dfrac{3}{5}x-7-\left(-12+\dfrac{3}{10}x\right)}}\)

Calculate the multiplication expression.

\(\boldsymbol{\sf{-\dfrac{3x}{5}-7-\left(-12+\dfrac{3}{10}x\right) }}\)

We solve the equation in fraction form.

\(\boldsymbol{\sf{-\dfrac{3x}{5}-7-\dfrac{3x-120}{10}=\boxed{\boldsymbol{\sf{-\frac{9x-50}{20} }}} }}\bf{\iff}\boxed{\boxed{\bf{Answer }}}\)

Answer:

1,4,9,16...

Step-by-step explanation:

It does not have a common difference between each consecutive term, therefore it is not an arithmetic sequence.

Inequality Notation: x<1

And then on number line:

(in image)

May I please have brainliest? :))

x < 1

5x/5 < 5/5

1. divide both sides by the same factor

2. Cancel terms that are in both the numerator and denominator

3. Divide the numbers

Answer:

Mean = 16

Step-by-step explanation:

MEAN can be find bg the sum of all score divided by the amount of the score.

Mean = total amount / number of amount

Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39

= 128

number of amount = 2, 3, 5, 9, 17, 22, 31, 39

= 8

Then we can calculate mean as

Mean = 128/8

Mean = 16

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

Answer:

A= 58

B= \(5f^{2}\)

Step-by-step explanation:

B=

A=

Answer:

16/63

Step-by-step explanation:

Given problem,

→ (8/9) × (2/7)

Let's solve the problem,

→ (8/9) × (2/7)

→ (8 × 2)/(9 × 7)

→ 16/63

Hence, answer is 16/63.

Answer:

8

Step-by-step explanation:

area = bh/2

32.4 yd² = 8.1 yd × s / 2

s = 8 yd

Answer:

The answer is C- 1 1/4

Step-by-step explanation:

Answer:

[C] \(\frac{6\;days}{x\;Hours}=\frac{1\;day}{24\;Hours}\)

Step-by-step explanation:

Since, we know that

1 Day = 24 Hours

6 Days = x Hours

Cross Multiply:

6 x 24 = 144

1x = 144

x = 144

144 = 144

Hence, the best answer is [C] \(\frac{6\;days}{x\;Hours}=\frac{1\;day}{24\;Hours}\)

~lenvy~

The following proportions could be used to convert 6 days to hours as 1 day : 24 hours :: 6 days : x hours.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

There is a way to convert 6 days to hours, to use the proportion:

⇒ 1 day : 24 hours :: 6 days : x hours

This proportion shows the relationship between days and hours, and can be used to convert from one unit to the other. To solve for x, we can cross-multiply and divide:

x = 6 days × 24 hours / 1 day = 144 hours

So, 6 days is equivalent to 144 hours.

Hence, the correct answer would be an option (C).

Learn more about the proportion here:

brainly.com/question/1504221

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