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The slope of the line y = -5/2x - 2 is -5/2, and the y-intercept is -2. This is determined using the slope-intercept form y = mx + b.

To determine the slope and the y-intercept of the linear equation y = -5/2x - 2, we use the slope-intercept form y = mx + b.

In this form:

Therefore, the slope of the line is -5/2, and the y-intercept is -2.

Lana needs an additional $3.47 to buy the scrapbook, which is found by subtracting the amount she has ($4.88) from the total cost of the scrapbook ($8.35). The provided question's mention of tax is not included in the calculation as no tax rate is given, and it's assumed that the $8.35 is the final price after tax.

The student asked how much more money Lana needs to buy a scrapbook priced at $8.35 if she already has $4.88. To find out the additional amount Lana needs, we subtract the money she already has from the total cost of the scrapbook.

Subtracting the amounts:

$8.35 (total cost) - $4.88 (amount Lana has) = $3.47

Therefore, Lana needs an additional $3.47 to purchase the scrapbook.

Note that the mention of 'plus tax' in the question may be confusing because taxes are typically added on top of the listed price, but here we are not given a tax rate. Hence, in our calculation, we assume the $8.35 already includes any tax.

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Answer:

7.5

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

To solve the equation gh - gt + g = t for g, factor g out from the left-hand terms and then divide both sides by (h - t + 1) to isolate g.

To solve the given equation gh - gt + g = t for g, we need to isolate g on one side of the equation. Starting with the original equation, factor out g from the terms on the left-hand side:

g(h - t + 1) = t

Next, divide both sides of the equation by (h - t + 1) to solve for g:

g = t / (h - t + 1)

This gives us the value of g in terms of t, h, and g as constants, which may be aligned with concepts from physics such as the acceleration due to gravity and gravitational potential energy (G.P.E.).

Final answer:

To solve the equation gh - gt + g = t for g, you can factor out g, isolate the g term, and then divide both sides of the equation by (h - t).

Explanation:

To solve the equation gh - gt + g = t for g, we can start by combining like terms on the left side of the equation. This gives us gh - gt + g = t. Then, we can factor out g from the first two terms, which gives us g(h - t) + g = t. Next, we can subtract g from both sides of the equation to isolate the g term. This gives us g(h - t) = t - g. Finally, we can divide both sides of the equation by (h - t) to solve for g. This gives us g = (t - g) / (h - t).

Tyler can make 1/3 cup of applesauce in one full minute by doubling the amount he can make in half a minute.

Tyler is making applesauce and can make 1/6 cup in [tex]\frac{1}{2}[/tex] a minute. To find out how many cups he can make in a full minute, we simply double the amount he can make in half a minute since a full minute is twice as long as half a minute. So, if Tyler makes 1/6 cup in [tex]\frac{1}{2}[/tex] a minute, in one full minute he can make:

Therefore, Tyler can make 1/3 cup of applesauce in one full minute.

Answer:

a = 80 shares of stock A

b =120 shares of stock B

Final answer:

The investor owns 80 shares of Stock A and 120 shares of Stock B, calculated using a system of linear equations based on the total number of shares and their combined value.

Explanation:

The investor needs to determine how many shares of Stock A and Stock B they own. Let's call the number of shares of Stock A as x and the number of shares of Stock B as y. We know that the combined number of shares owned is 200, which gives us our first equation:

Equation 1: x + y = 200

Next, we have the combined value of the stocks, which is $4000. Stock A is priced at $9.50 per share and Stock B at $27.00 per share. This information allows us to construct our second equation:

Equation 2: 9.50x + 27y = 4000

Now we have a system of two equations with two unknowns, which we can solve via substitution or elimination. If we rearrange the first equation (Equation 1) to solve for y, we get:

y = 200 - x

Substitute y in the second equation (Equation 2):

9.50x + 27(200 - x) = 4000

That simplifies to:

9.50x + 5400 - 27x = 4000

-17.50x = -1400

x = 80

Now that we have x, we can substitute it back into Equation 1 to find y:

y = 200 - 80

y = 120

Therefore, the investor owns 80 shares of Stock A and 120 shares of Stock B.

lol yeah where's the graph sorry lol

The required number of bags that Allison takes to the recycling center is 60 bags.

Given that,
Each time Allison goes to the recycling center, she takes 10 bags of cans. She will go twice this month 3 times next month, and once the following month .

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Total number of times Allison went to the recycling center in three months,
= 2 + 3 + 1 = 6
Each time takes 10 bags of can,
So, total number of bags of can = 10 × 6 = 60

Thus, the required number of bags that Allison takes to the recycling center is 60 bags.

Learn more about arithmetic here:

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The vase can hold 722 milliliters more water.

To find out how much more water the vase will hold, we need to subtract the initial amount of water from the capacity of the vase. First, we convert 1 liter 299 milliliters into milliliters by multiplying 1 liter by 1,000 and adding 299 milliliters. So, 1 liter 299 milliliters is equal to 1,299 milliliters. Next, we add 398 milliliters to 1,299 milliliters to get the total amount of water poured into the vase, which is 1,697 milliliters. Finally, we subtract 1,697 milliliters from the capacity of the vase, which is 2,419 milliliters.

Therefore, the vase can hold 722 milliliters more water.