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3 years ago

Larry gets a 5% wage rise. his new wage is £252 per week. what was larrys wage before his wage rise

Mathematics

1 answer:

Sidana [21]3 years ago

6 0

The raise was 5% which is 0.05 as a decimal.

For his new rate his original rate was multiplied by 1.05 ( original + 5%)

To find original amount, divide new amount by 1.05:

252 / 1.05 = 240

His original pay was £240

You can check by multiplying the original pay by 5% and adding:

240 x 0.05 = 12

240 + 12 = 252

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the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10

In-s [12.5K]

Answer:

$k= \frac{-34}{3}$

Step-by-step explanation:

Step 1 :-

Perpendicular condition :-

Step 1:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} }$

$m_{1} m_{2} = -1$

Step 2:-

The given points are (-8,k) and (-4,-8)

$m_{1} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

finding slope of the first line is $m_{1}$

using formula $m_{1} = \frac{-8-k}{-4+8}$

= $\frac{-8-k}{4}$

finding slope of the second line is $m_{2}$

using formula $m_{2} = \frac{--5+11}{5-10}$

= $\frac{6}{-5}$

Step 3:-

using perpendicular condition

The two lines are perpendicular and their slopes are

$m_{1} m_{2} = -1$

$(\frac{-k-8}{4} )(\frac{-6}{5} )= -1$

simplification,we get solution is

$\frac{6(k+8)}{20} =-1$

$6 k+48 =-20$

$6 k = -20 -48$

$6 k = -68$

$\frac{-68}{6}$

$k= \frac{-34}{3}$

Final answer is

$k= \frac{-34}{3}$

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3 years ago

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Mrrafil [7]

Using a system of equations, it is found that there are 10 baskets that hold 4 meals in the shop.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given by:

Variable x: Number of baskets that hold 2 meals.

Variable y: Number of baskets that hold 4 meals.

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There are 10 baskets that hold 4 meals in the shop.

More can be learned about a system of equations at brainly.com/question/24342899

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3 years ago

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