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6 months ago

Which inequality represents all the values of x for y<(or equal to)-6(x-18)-2 when y=46

Mathematics

1 answer:

bearhunter [10]6 months ago

8 0

The value of x is x ≤ 9 for which y ≤ -5(x - 18) - 2 when y = 43.

<h3>What are inequalities and their types?</h3>

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given inequality is y ≤ -5(x - 18) - 2.

Now the values of x when y = 43 is,

43 ≤ - 5(x - 18) - 2.

43 ≤ - 5x + 90 - 2.

43 - 88 ≤ - 5x.

- 45 ≤ - 5x.

5x ≤ 45.

x ≤ 9.

learn more about inequalities here :

brainly.com/question/11612965

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3 years ago

Sophie has 5 pieces of string that are 4 yards each. She uses 3 pieces that are each 3 feet long. How much string does Sophie ha

stich3 [128]

Alright, lets get started.

Sophie has 5 pieces of string that are 4 yards each.

1 yards = 3 feet,

So, 4 yards = $4 * 3 =12$ feet

Total number of string she has = 5 piece

So, total length she has = $5*12 = 60$ feet

It means she had 60 feet string in starting.

Now, She uses 3 pieces that are each 3 feet long, means

She uses = $3*3 = 9$ feet

So, remaining string length will be = $60 - 9 = 51$ feet

Means 51 feet string does Sophie have. : Answer

Hope it will help :)

5 0

3 years ago

Read 2 more answers

Adrian

Goshia [24]

Answer:

Hence, both Marlon and Adrian both have the same at bats percentage.

Step-by-step explanation:

Marlon's at bats :

Number of at bats = 15

Hits = 6

Hit percentage = 6/15 * 100% = 40%

Adrian :

Number of at bats = 10

Hits = 4

Hit percentage = 4/10 * 100% = 40%

Hence, both Marlon and Adrian both have the same at bats percentage.

5 0

2 years ago

an electrition charged $70 for 2 hours of work and 115 for 5hours of work write an equtionto find the cost for y and xk

Westkost [7]

$\bf \begin{array}{ccll} \stackrel{x}{hours}&\stackrel{y}{cost}\\ \cline{1-2} 2&70\\ 5&115 \end{array}~\hspace{10em}(\stackrel{x_1}{2}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{115}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{115-70}{5-2}\implies \cfrac{45}{3}\implies 15$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-70=15(x-2)\implies y-70=15x-30 \\\\\\ y=15x+40\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

as you already know, a direct proportional variation has a constant of variation "k", y = kx, which in this case that'd be the slope, namely 15.

7 0

3 years ago

A line with a slope of 2 passes through (3,9). Which choice is an equation of this line?

Veronika [31]

Answer:

The answer to your question is number 3.

Step-by-step explanation:

Data

slope = m = 2

Point = (3, 9)

Process

1.- Write the equation of the line in the form point-slope

y - y1 = m(x - x1)

2.- Identify the values of x1 and y1

x1 = 3 y1 = 9

3.- Substitution

y - 9 = 2(x - 3)

4.- Simplify

y - 9 = 2x - 6

y = 2x - 6 + 9

5.- Result

y = 2x + 3 slope y-intercept form

6 0

2 years ago