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4 years ago

At a book sale, all books cost less than $5.

Mathematics

2 answers:

gulaghasi [49]4 years ago

5 0

Answer:

b < 5

Step-by-step explanation:

b stands for books

5 is the $5

Each b (book) is less than 5 ($5)

b < 5

Slav-nsk [51]4 years ago

4 0

The inequality of the book sale would be Y<5x

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A prism has a right triangle as its base.

gavmur [86]

Answer:

168 cm³

Step-by-step explanation:

The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.

So, the third side of the triangle = $\sqrt{10^{2}-6^{2} }=8$ cm.

{Since we have applied the Pythagoras theorem.}

Hence, the area of the base triangle is $\frac{1}{2} \times 8 \times 6 = 24$ cm².

Therefore, the volume of the prism is = $24\times 7=168$ cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}

(Answer)

3 0

4 years ago

Solve this I need it solved

gizmo_the_mogwai [7]

Answer:

option 3

Step-by-step explanation:

$Standard \ quadratic \ equation : ax^2 + bx +c$

Larger the value of '' a '' makes the parabola narrow.

A positive value of '' a '' which is close to 0 makes the parabola wide.

To find the widest graph , find the smallest a. (or a closest to zero)

option 1

$a_1 = \frac{1}{3}$

option 2

$a_2 = - \frac{4}{5}$

option 3

$a_3 = 0.3 = \frac{3}{10}$

option 4

$a_4 = -4$

Positive and negative value of ' a ' decides the direction the parabola opens.

But we have to find the widest parabola irrespective of the direction.

So we will find the smallest ' a '

$a_1 = 0.33\\a_2 = 0.80\\a_3 = 0.30\\a_4 = 4$

$a_3 \ is \ the \ smallest \ number \ or\ \\ the \ number \ closest \ to\ zero.\\\ so \ option \ 3 \ makes\ the\ widest \ parabola.$

8 0

3 years ago

In a fractional-reserve banking system with no excess reserves and no currency holdings, if the central bank buys $100 million w

loris [4]

Answer:

reserves increase by $100 million and the money supply increases by more than $100 million.

Step-by-step explanation:

Consider the provided information.

It is given that central bank buys $100 million worth of bonds, that means an amount of $100 million in the deposits account of the account holders.

Therefore the reserves increase by $100 million.

It is also given that there are no excess reserves, it means banks can lend the reserves and that will increase the money supply by more than $100 million.

Hence, reserves increase by $100 million and the money supply increases by more than $100 million.

8 0

3 years ago

Can’t figure it out need help please

Nataliya [291]

<h3>Answer: 0.6</h3>

Work Shown:

tan(angle) = opposite/adjacent

tan(30) = x/1

x = tan(30)

x = 0.57735 approximately

x = 0.6

8 0

2 years ago

A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair o

Sphinxa [80]

Answer:

£15.6

Step-by-step explanation:

Method 1:

You are trying to find 30% of £52.

Therefore:

$\frac{30}{100} * 52 = \frac{30 * 52}{100}$

If you solve this you will find that 30 × 52 = 1560, and 1560 ÷ 100 = £15.6.

So, the answer is £15.6.

Method 2:

You can solve 30% of £52 by using an algebra equation.

By using the rule that to convert a percentage to a decimal you divide by 100, you can change 30% to be 0.3.

Now, in order to write the equation, you will have to include 0.3 and 52.

The equation is:

0.3 * 52 = x

Once you multiply, you will find that the answer is £15.6.

I hope I helped!

3 0

3 years ago