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3 years ago

If a bank represents deposits with positive numbers and withdrawals as negative numbers, what could 10 + (-60) represent?

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer:

A $10 deposit followed by a $60 withdrawal

Step-by-step explanation:

The 10 is positive, so it would represent a deposit, and the 60 is negative, so it would represent a withdrawal.

You might be interested in

Evaluate A^2 - B^2 for A = 3 and B=-4.

damaskus [11]

Answer:

-7

Step-by-step explanation:

A = 3

3×3 = 9

B= -4

-4 × -4 = 16

9 - 16 = -7

4 0

3 years ago

Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i

serious [3.7K]

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

the length of the box, L = 12 inches,
the width of the box = 12 inches
and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³ - 72x² + 324x - 432 = 0

x³ - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³ - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So, x³ - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So, x³ - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

the length of the box, L = 12 inches,
the width of the box = 12 inches
and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

6 0

2 years ago

find the slope of the lines that pass through each pair of points. (-1,4) and (5,1); (-3,4) and (0, 10), m1= and m2=

Amiraneli [1.4K]

For these equations, we are going to use the slope formula, as defined below ( $m$ is slope and $(x_1, y_1)$ and $(x_2, y_2)$ are coordinate points):

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

We can simply "plug in" the coordinates we are given:

$m_1 = \dfrac{1 - 4}{5 - (-1)} = \dfrac{1-4}{5+1} = - \dfrac{3}{6} = - \dfrac{1}{2}$

$m_2 = \dfrac{10 - 4}{0 - (-3)} = \dfrac{10-4}{3} = \dfrac{6}{3} = 2$

Our answers are:

$\boxed{m_1 = - \dfrac{1}{2}}$

$\boxed{m_2 = 2}$

7 0

3 years ago

if you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-cream sundaes ca

iVinArrow [24]

If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8. Then the number of the different ways to make ice cream will be 96.

<h3>What are permutation and combination?</h3>

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8.

Then the number of the different ways to make ice-cream sundaes will be

Let x be the number of the ways.

$\rm x = \ ^{12}C_1 \times ^8C_1\\\\x = 12 \times 8\\\\x = 96$

Then the number of the different ways to make ice cream will be 96.

More about the permutation and the combination link is given below.

brainly.com/question/11732255

#SPJ1

8 0

2 years ago

A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.

Vlada [557]

The correct answer is:

How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.

I hope this helps you!!

7 0

4 years ago