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1 year ago

Rob and Mike are selling cookie dough

1 answer:

3 0

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

<h3>What is an equation?</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:

12x + 6y = 192 (1)

Also:

6x + 12y = 222 (2)

From both equations:

x = 9, y = 14

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

Find out more on equation at: brainly.com/question/2972832

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The first number is 4. A rule is multiply by 2 and then subtract 3. What are the fist 6 numbers in the pattern?

Komok [63]

I believe the answer would be: 4.7.9.11.13.15.17

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2 years ago

Given y = log3(x + 4), what is the range?

lora16 [44]

Answer:

The range is all real numbers.

The domain is all reals numbers that are greater than -4.

Step-by-step explanation:

$y=\log_3(x+4)$ only exists when $x+4$ is positive.

You can take the log of a negative or 0 number.

So $x+4>0$ implies $x>-4$ . (I just subtract 4 on both sides.)

So the domain is x>-4. You should see this also when you graph the curve that the curve only exist to the right of -4.

Now the range. The range is where the curve exist for the y-values.

The equivalent exponent form of $y=\log_3(x+4)$ is $3^{y}=x+4$

We can solve this for x be subtract 4 on both sides:

$x=3^y-4$

Now here y can be anything; there are no restrictions on the exponent.

Also if you look at the graph of $y=\log_3(x+4)$ you should see every y getting hit by the curve (look down to up; use the y-axis as a guide).

Let's think about the inverse I found above a little more (I'm going to swap x and y).

$y=3^x-4$ .

If we look at the domain and range of this we can just swap it to get the domain and range of $y=\log_3(x+4)$ .

$y=3^x-4$ is an exponential function of 3^x that has been moved down 4 units.

The range since it has been moved down 4 units is $(-4,\infty)$ .

The domain of an exponential function is all real numbers. There are no restrictions on what you can plug in for x.

So swapping these to find the domain and range of $y=\log_3(x+4)$ :

Domain: $(-4,\infty)$

Range : $(-\infty,\infty)$

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2 years ago

The ratio of cups of grape juice concentrate to cups of water in punch is 1:3. If Sherry made 32 cups of punch, how many cups of

lana66690 [7]

All she needed was 8 cups should I explain

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3 years ago

An elephant can run 1/4 of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant ru

Svetlanka [38]

1. First you need to understand that 36 seconds is 1/100 of a mile.
2. An elephant can run 0.25 miles (1/4 of a mile) in 1/100 of a hour.
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3 years ago

It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?

Margarita [4]

Answer:

43 messages

Step-by-step explanation:

Given:

146 messages = $21.90

x messages = $6.45

Finding x by cross-multiplication:

x = 146*6.45/21.90 = 43

Hope this helps! :)

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2 years ago