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dlinn [17]
3 years ago
9

Drag each equation to show if it could be a correct first step to solving the equation 3(x+8)=42.

Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

3*x + 3*8 = 42 simplified as 3x + 24 = 42

Step-by-step explanation:

The correct first step in solving the equation is to apply the distributive property. Order of operations states to perform operations in this order, PEMDAS, left to right. Some operations can be applied at the same time left to right through the equation such as multiplication and division as well as addition and subtraction. Since 3 is being multiplied into parenthesis, this needs to be applied first using the distributive property.

3(x+8)=42

3*x + 3*8 = 42

3x + 24 = 42

You can continue to solve using inverse operations.

3x = 18

x = 6

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The following is a recipe for Gazpacho, a cold vegetable soup. Write how much of each item in the
denis23 [38]

9514 1404 393

Answer:

  replace recipe quantities:

  1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5

Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

The numbers in the recipe (ignoring units or ingredients) are ...

  1/4, 1/2, 1, 1 1/2, 2

Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

  1/4 × 5/2 = 5/8

  1/2 × 5/2 = 5/4 = 1 1/4

  1 × 5/2 = 5/2 = 2 1/2

  (1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4

  2 × 5/2 = 5

Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

  old value ⇒ new value

  1/4 ⇒ 5/8

  1/2 ⇒ 1 1/4

  1 ⇒ 2 1/2

  1 1/2 ⇒ 3 3/4

  2 ⇒ 5

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For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

_____

<em>Additional comment</em>

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

8 0
3 years ago
Quadratic inverse for y=x^2-1
stepan [7]

let's recall that to find the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

\bf y = x^2-1\implies \stackrel{switcheroo}{x=y^2-1}\implies x+1=y^2\implies \sqrt{x+1}=\stackrel{f^{-1}(x)}{y}

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3 years ago
Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
xenn [34]

Answer:5

Step-by-step explanation:

couldn’t tell ya g

3 0
3 years ago
You wish to borrow $8000 for debt consolidation. The bank's interest rate for a personal loan is 7.2%. What is your monthly paym
Lisa [10]
<h3>The monthly payment  is $242.44 for loan to paid off in 3 years.</h3>

Step-by-step explanation:

The amount borrowed = Principal = $8000

The rate of interest = 7.2%

Time (T)  = 3 years

Now, Simple Interest = \frac{P\times R \times T}{100}

\implies SI  = \frac{8000 \times 7.2  \times 3}{100}  = 1,728

So, the total interest = $1728

Now, <u>Amount to be paid  = Principal + Interest</u>

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Also, 1 year = 12 months

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So, total amount to be paid in 36 months is $8728.

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Hence, the monthly payment  is $242.44 if loan is to paid off in 3 years.

3 0
3 years ago
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ehidna [41]
Answer:
5 weeks
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319.50-21.95=297.55
297.55/63.00=4.72
Since he can't wait for those many weeks, you would round it to 5 so he has enough money
5 0
3 years ago
Read 2 more answers
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