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3 years ago

The cost of a lack has increased by 30% to £65. Work out the original price

1 answer:

7 0

Cost of lack increased by 30%

new cost of lack will be = 100% + 30% = 130%

We are given that new cost = £65

Thus 130% of original cost = 65

100% of original cost = 65 × 100/130 = £50

Thus original price was £50

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For an amount of sales of $5,000, the two salary choice will be equal

Let the amount of sales be $x

The 3% she will receive will be;

$\frac{3}{100}\times x\text{ = 0.03x}$

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We have this as;

$\begin{gathered} 1750\text{ =1600 + 0.03x} \\ 1750-1600\text{ = 0.03x} \\ 150\text{ = 0.03x} \\ x\text{ = }\frac{150}{0.03} \\ x\text{ = \$5000} \end{gathered}$

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1 year ago

The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two recta

MakcuM [25]

Answer:

Step-by-step explanation:

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3 years ago

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1$

Also Slope of line when angle ' θ ' is given as

$Slope=\tan \theta$

Substituting Slope = 1 we get

$1=\tan \theta$

$\tan \theta=1\\\theta=\tan^{-1}(1)$

We Know That for angle 45°,

tan 45 = 1

Therefore

$\theta=45\°$

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

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3 years ago

An animal shelter provides a bowl with 1.55 liters of water for 5 cats.

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Answer: The answer is 0.8 liters of water.

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3 years ago

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AfilCa [17]

<h2>Question #22 Answer</h2>

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