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3 years ago

9

Create a word problem that can be represented by the expression below. Then, represent each product or quotient as a single rati

onal number. 8 times (-0.25), and -6 divide by (1 1/2) plz I will give you 100 points

1 answer:

Ber [7]3 years ago

6 0

I have eight coupons that are all worth -.25

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Large Reusable bottles cost four dollars more than small ones eat large bottles cost $24 less than small ones how much does one

madam [21]

Answer:

$20

Step-by-step explanation:

The large ones cost $4 more so what you would do is to subtract that $4 from the $24.

24-4=20

7 0

2 years ago

Find the equation of a line that passes through (0,0) that is perpendicular to 2x+3y=-6

Dovator [93]

The slope-intercept form of a line:

$y=mx+b$

m - slope

b - y-intercept

Convert 2x + 3y = -6 to the slope-intercet form:

$2x+3y=-6$ <em>subtract 2x from both sides</em>

$3y=-2x-6$ <em>divide both sides by 3</em>

$y=-\dfrac{2}{3}x-2$

Let $k:y=m_1x+b_1$ and $l:y=m_2x+b_2$

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have $m_1=-\dfrac{2}{3}$

Therefore

$m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}$

We have the equation of a line:

$y=\dfrac{3}{2}x+b$

Put the coordinates of the point (0, 0) to the equation:

$0=\dfrac{3}{2}(0)+b$

$0=b\to b=0$

Answer: $\boxed{y=\dfrac{3}{2}x}$

8 0

2 years ago

Why are linear functions sometimes symmetric about the y-axis but never symmetric about the x-axis

lina2011 [118]

Test for symmetry about the x-axis: Replace y with (-y). Simplfy the equation. If the resulting equation is equivalent to the original equation then the graph is symmetrical about the x-axis. Example: Use the test for symmetry about the x-axis to determine if the graph of y - 5x2 = 4 is symmetric about the x-axis.
Test for symmetry about the y-axis: Replace x with (-x). Simplfy the equation. If the resulting equation is equivalent to the original equation then the graph is symmetrical about the y-axis. Example: Use the test for symmetry about the y-axis to determine if the graph of y - 5x2 = 4 is symmetric about the y-axis.
I didn't fully understand the question but this is the best I can do! Hope this helps! :D

7 0

2 years ago

(12x - 30) = (2x - 5)

zzz [600]

Answer:

x = 5/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

12x - 30 = 2x - 5

<u>Step 2: Solve for </u><em><u>x</u></em>

Subtract 2x on both sides: 10x - 30 = -5
Add 30 to both sides: 10x = 25
Divide 10 on both sides: x = 5/2

8 0

2 years ago

A salesman is paid a salary of $2500 per month and a commission of 10% on all sales above $7000. Calculate his gross salary if h

Verizon [17]

Answer:

$4150

Step-by-step explanation:

Given data

Salary= $2500

Commission= 10%

Sales= $16500

Let us find the amount of the commission made

=10/100*16500

=0.1*16500

=$1650

Hence the total amount made for the month is

=commission + salary

=1650+2500

=$4150

3 0

2 years ago