All categories

3 years ago

6. At the beginning of school, Julie bought one 3-subject notebook and four single-subject notebooks

Mathematics

1 answer:

larisa [96]3 years ago

3 0

Answer: 3-subject notebook cost $0.67 or 67 cents and the single-notebook cost $0.33 or 33 cents.

Step-by-step explanation:

Let's represent the 3-subject notebook by y and the single-notebook by x.

y has to cost twice as much as x and we can represent that by the equation

y = 2x

We now know that the total cost of the 3-subject notebook and the single-subject notebook has to equal $1.

We can also represent that by the equation and solve for x

2x + x = 1

3x = 1

x = 0.33 $0.33 or 33 cents

If the single-subject is $33 cents then subtract it from a dollar to see how much the 3-subject notebook costed.

1- 0.33 = 0.67

You might be interested in

Which shows a way to take apart 7?

sashaice [31]

Add 7 and 7 which is 14 and then take it apart because it is an even number

3 0

3 years ago

Read 2 more answers

professor wrote the following inequalities for N number of students in his lecture. N <10, N>10, N<22, N>22. Turns o

m_a_m_a [10]

Answer:

There are N students in the class.

We know that ONLY ONE of the inequalities is true:

N < 10

N > 10

N < 22

N > 22

We want only one of these four inequalities to be true.

Remember that if we have:

x > y

y is not a solution, because:

y > y is false.

Then:

If we take N = 10, then:

N < 22

Is the only true option.

While if we take N = 22

N > 10

is the only true option.

So there are two possible values of N.

8 0

3 years ago

Can someone please help me with number 6?

Vlad1618 [11]

Step-by-step explanation:

substitute a with 2 and b with 3

2x+3

because it's the same equation it should just be an equal sign.

8 0

2 years ago

Read 2 more answers

Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)

boyakko [2]

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

8 0

2 years ago

Solve the following equation for X. Round your answer to four decimal places.

strojnjashka [21]

ANSWER

x = 1.2226

EXPLANATION

To solve this equation we have to apply the property of the logarithm of the base,

$\log _bb=1$

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

$\ln e^{4x}=\ln 133$

Now we apply the property of the logarithm of a power,

$\log a^b=b\log a$

In our equation,

$\begin{gathered} 4x\ln e^{}=\ln 133 \\ 4x^{}=\ln 133 \end{gathered}$

Then divide both sides by 4 and solve,

$\begin{gathered} \frac{4x^{}}{4}=\frac{\ln 133}{4} \\ x\approx1.2226 \end{gathered}$

The solution to this equation is x = 1.2226, rounded to four decimal places.

4 0

1 year ago