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alexandr402 [8]
3 years ago
11

There are 4 such boxes containing toffee and mints Mary take 8 toffees and 26 mints from the boxes what is the ratio of the numb

er of toffees to the number of mints
Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

4:13

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

8 : 26

divide each number by 2

4 : 13

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Find the equation of the line perpendicular to the given line, through the given point x=-3; (1,8)
Bumek [7]

Answer:

y = 8

General Formulas and Concepts:

<u>Algebra I</u>

Coordinates (x, y)

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

[Line] x = -3

Point (1, 8)

<u>Step 2: Find Perpendicular Line</u>

<em>A vertical line's slope is undefined. </em>

The negative reciprocal of an undefined slope is 0.

  1. Define perpendicular slope:                                                                          <em>m</em> = 0
  2. Substitute in <em>m</em> [Slope-Intercept Form]:                                                          y = 0x + b
  3. Simplify:                                                                                                               y = b

Given point (1, 8), our <em>y</em>-value is equal to 8.

∴ the perpendicular line is y = 8.

4 0
3 years ago
What is the inverse of the function f(x) = 8x+1
Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1        

<u>Switch the "x" and "y" variables</u>

x = 8y + 1

<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting

8y + 1 = x            

8y + 1 - 1 = x - 1               Subtract 1 from both sides

8y = x - 1

\frac{8y}{8}=\frac{x-1}{8}        Divide both sides by 8 and simplify

y=\frac{x-1}{8}                  Inverse equation

y=\frac{1}{8}x-\frac{1}{8}             Slope-intercept form

<u>Use function notation</u>, change "y"

f^{-1}(x)=\frac{x-1}{8}                      Simplified

f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}                   Slope-intercept form

6 0
3 years ago
Karen earns $62.25 for working 9 hours. if the amount she earns varies with the number of hours she works how much will she earn
nata0808 [166]

Answer:

$103.75

Step-by-step explanation:

we know that

Karen earns $62.25 for working 9 hour

so

using proportion

Find out  how much she will  earn for working 15 hours

\frac{62.25}{9}\ \frac{\$}{h}=\frac{x}{15}\ \frac{\$}{h}\\\\x=62.25(15)/9\\\\x=\$103.75

6 0
3 years ago
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andriy [413]

Step-by-step explanation:

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100,125,150,___,___

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4 0
3 years ago
Parallell to : y=5x-4
Sergio039 [100]

=
5

−
4 Does the answer that’s what I got on my quiz I just took the test
7 0
3 years ago
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