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At a salesperson nakia is paid $50 per week plus$3 per sale.This week makati hopes to earn at least $100. Write an inequality fo

Inessa [10]

Answer:

The Inequality representing the number of sales needed is $50+3x\geq 100$ .

Mali need to make at least 17 sales for to earn $100.

Step-by-step explanation:

Given:

Amount paid per week = $50

Amount paid on per sale = 3

Total amount to be earned $\geq$ $100

We need to write and solve the inequality to find the number of sales need to be make.

Solution:

Let the number of sales need to be make be 'x'.

Now we can say that;

Amount paid per week plus Amount paid on per sale multiplied by number of sales should be greater than or equal to Total amount to be earned.

framing in equation form we get;

$50+3x\geq 100$

Hence the Inequality representing the number of sales needed is $50+3x\geq 100$ .

On Solving above Inequality we get;

Subtracting both side by 50 using Subtraction property of Inequality we get;

$50+3x-50\geq 100-50\\\\3x\geq 50$

Now Dividing both side by 3 Using Division property of Inequality we get;

$\frac{3x}{3}\geq \frac{50}{3}\\ \\x\geq 16.66$

Hence Mali need to make at least 17 sales for to earn $100.

4 0

3 years ago

What is the surface area of the right cone below? Help ASAP please

mezya [45]

For this case we have that by definition, the surface area of a cone is given by:

$SA = \pi * r * s + \pi * r ^ 2$

Where:

r: It is the cone radius

s: It's the slant height

According to the data we have: $s = 14\\r = 8$

Substituting:

$SA = \pi * 8 * 14 + \pi * (8) ^ 2\\SA = \pi * 112 + \pi * 64\\SA = 176 \pi$

Thus, the surface area of the cone is $176 \pi \ units ^ 2$

Answer:

Option B

7 0

4 years ago

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A rectangle has a height to width ratio of 3:4.5. Give two examples of dimensions for rectangles that could be scaled versions o

OlgaM077 [116]

We have been given that a rectangle has a height to width ratio of 3:4.5.

Let h be height and w be width of rectangle.

We can set our given information in an equation as:

$\frac{h}{w} =\frac{3}{4.5}$

$h=\frac{3}{4.5} *w$

Now we will substitute h=1 in this equation.

$1=\frac{3}{4.5} *w$

$3w=4.5$

$w=\frac{4.5}{3} =1.5$

We can see that width of rectangle is 1.5 times height of rectangle.

Our one set of dimensions of rectangle will be: height=1 and width=1.5.

We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.

Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.

Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.

6 0

3 years ago

Plssss help I need AC

Zolol [24]

Answer:

AC = 18

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = $\frac{\sqrt{3} }{2}$ , then

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{AC}{AB}$ = $\frac{AC}{12\sqrt{3} }$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2 AC = 12 $\sqrt{3}$ × $\sqrt{3}$ = 12 × 3 = 36 ( divide both sides by 2 )

AC = 18

3 0

2 years ago

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Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1 How many teaspoons does Debnil have?

Ierofanga [76]

Answer:

2

Step-by-step explanation:

The ratio 3:1 means that 3 teaspoons is equal to 1 tablespoons, 6÷3=2

7 0

3 years ago

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