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MrRa [10]
3 years ago
6

while on vacation, Erika bought 6 postcards, which was twice as many postcards as Nathan bought. Samantha bought 4 times as many

postcards as Nathan. how many postcards did Samantha buy?
Mathematics
2 answers:
Vesnalui [34]3 years ago
5 0
The answer is 12, I believe.
pickupchik [31]3 years ago
3 0
Write a system of equation based on the problem
⇒ Erika bought 6 postcards
    E = 6
⇒ Erika bought twice as many postcards as Nathan bought
    E = 2N
    2N = E
⇒ Samantha bought 4 times as many postcards as Nathan
    S = 4N

Before we find the number of Samantha's postcards, we need to find the number of Nathan's postcard. Substitute E with 6 in the second equation.
2N = E
2N = 6
  N = 6/2
  N = 3
Nathan bought 3 postcards

Find the number of Samantha's postcard
Substitute N with the number of Nathan's postcards, which is 3, in the third equation
S = 4N
S = 4 × 3
S = 12
Samantha bought 12 postcards
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alukav5142 [94]

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Step-by-step explanation:

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6 0
3 years ago
Lydia uses 15 grams of protein powder to make a 22-ounce shake. She decides to make shakes for the week and plans to make 198 ou
max2010maxim [7]

We have been given that Lydia uses 15 grams of protein powder to make a 22-ounce shake. She decides to make shakes for the week and plans to make 198 ounces. We are asked to find the grams of protein powder Lydia will use.

We will use proportions to solve our given problem.

\frac{\text{Amount of protein powder}}{\text{Amount of shake}}=\frac{15\text{grams}}{22\text{ ounces}}

\frac{\text{Amount of protein powder}}{\text{198 ounces}}=\frac{15\text{grams}}{22\text{ ounces}}

\frac{\text{Amount of protein powder}}{\text{198 ounces}}\times \text{198 ounces}=\frac{15\text{grams}}{22\text{ ounces}}\times \text{198 ounces}

\text{Amount of protein powder}=15\text{grams}\times 9

\text{Amount of protein powder}=135\text{ grams}

Therefore, Lydia will use 135 grams of protein powder for the entire week.

3 0
4 years ago
What is the output, or dependent variable or<br> quantity?<br> Х<br> f(x)<br> у<br> DONE
Ipatiy [6.2K]

Answer:

x is the input, or independent variable and f(x) is the output, or dependent variable or quantity. f(2) represents the output (y-value) when x = 2. The value of f(2) is 2.

Step-by-step explanation:

If the values of a variable depends on the other variable, then it called dependent variable.

If the value of a variable does not depend on the other, then it is called independent variable.

If a function is f(x)=x, then x is an independent variable and f(x) is a dependent variable.

The given function is

Here, x is the input, or independent variable and f(x) is the output, or dependent variable or quantity.

The notation f(a) represents the output (y-value) when x = a. So, f(2) represents the output (y-value) when x = 2.

Substitute x=2 in the given function.

The value of f(2) is 2.

3 0
3 years ago
The curve y=ax2+bx+c passes through (2,5) (3,12) and (-1,-4).find the equation of the curve
TiliK225 [7]

Explanation:

You want to first to substitute to form 3 equations.

5=4a+2b+c

12=9a+3b+c

-4=a-b+c

Now solve with whatever way you fell comfortable, I'm going to use elimination.

First eliminate c

7=5a+b

16=8a+4b --> 4=2a+b

Then I'll eliminate b,

3=3a

a=1

Now solve for b and c

7=5+b

b=2

1-2+c=-4

c=-3

Now for the equation:

y=x^2+2b-3

Hope this helps!

5 0
3 years ago
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