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2 years ago

4. A recipe for salad dressing calls for 1/3 tablespoon of vinegar for every tablespoon of

1 answer:

5 0

We want to write a linear equation for the recipe that describes the amount of oil that we need in terms of the vinegar.

The linear equation is: L = 3*V

So we know that the recipe calls for 1/3 tbsp of vinegar for every tbsp of oil.

Defining:

V = amount of vinegar used
L = amount of oil used.

The original equation is written as:

V = (1/3)*L

Now we want to rewrite this for L, this means, isolating L.

To do that we just multiply both sides by 3, so we get:

V*3 = (1/3)*3*L

V*3 = L

L = 3*V

This equation says that we will use 3 times more oil than vinegar.

If you want to learn more about linear equations, you can read:

brainly.com/question/4025726

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What is 3/4% written as an equivalent fraction? I already got the decimal part, I just need the fraction.

Ksivusya [100]

Answer:

Decimal: 0.0075

Fraction: 3/400

Step-by-step explanation:

For the decimal:

Notice how it says $\frac{3}{4}$ %. That's equivalent to 0.75% which is NOT the same as 75%.

To get the decimal, I just did this: 0.75/100. In the end, that's 0.0075.

For the fraction:

I just converted the decimal into a fraction. First, I removed the decimal by doing this:

$\frac{0.0075}{1} * \frac{10000}{10000} = \frac{75}{10000}$

I had to simplify the fraction and I got $\frac{3}{400}$ . I did this by dividing $\frac{75}{10000}$ by $\frac{25}{25}$ .

I really hope this helped!!

8 0

3 years ago

Help please :)))))))))))))))))))

Ivenika [448]

Answer:

21600cm^3

Step-by-step explanation:

7200cm^3÷30cm=24cm

24cm×30cm×40cm

=21600cm^3

4 0

3 years ago

You want to measure the height of a tree growing vertically on the side of a hill. The hill makes an angle of 20°with the horizo

seropon [69]

We need to solve for the height of the tree and we need to define the variable that would represent this value. In this case, we assign "y" for the unknown height of the tree. See attached picture for better comprehension.
Solving for the variable "a" which is base of downhill to the tree, we have it:
cos 20° = a / 15 ft
a = 15*cos 20°
a = 14.095 feet
Solving for the variable "x" which is the side of the hill to the base of the tree, we have it:
sin 20° = x / 15 ft
x = 15 * sin20°
x = 5.130 feet
Solving for the variable "y", which is the height of the tree, we have it:
tan 45° = (x+y) / a
tan 45° = (5.13 + y) / 14.095
y = 14.095*tan45° - 5.13
y = 8.965 feet

The height of the tree is 8.965 feet.

4 0

3 years ago

(x ^ 2 - 1)(x ^ 4 + x ^ 2 + 1)

labwork [276]

Answer:

x^6-1

Step-by-step explanation:

first you simplify the product it should look like this: (x^2)^3-1^3

then you simplify the expression by multiplying the exponents it should look like this: x^6-1^3

then you should raise any power equal 1 it should look like this: x^6-1 and thats your answer

6 0

3 years ago

A nationwide club begins a chapter near you. You research the membership of the club over the past few decades.

Phantasy [73]

Answer:

Option (d)

Step-by-step explanation:

From the given table,

Number of members in 1980 (t = 0) were 5400.

With the period of time number of members increased.

Let the number of years after 1980 = x

Therefore, line of best fit will be in the form of y = mx + b

Where b = Initial number of members = 5400

m = Increase in members in every 5 years duration

So the equation will be,

y = mx + 5400

From the given options,

Equation which matches to our equation is,

y = 310.58x + 5400

For the number of members in year 2022,

x = 2022 - 1980 = 42 years

y = 310.58(42) + 5400

y = 18445

Option (d) will be the answer.

4 0

4 years ago