Prove that triangle ABC must be isosceles

Answer:

4/5

Step-by-step explanation:

The purple paint is split into 16+3+1=20 parts: 16 parts of white, 3 parts of blue, and 1 part of red. Thus, in one gallon of purple paint, 16 out of the total 20 parts are white paint, so there are 16/20 x 1 gallon = 4/5 gallons of white paint in one gallon of purple paint.

The amount of white paint that is needed in order to make a gallon of purple paint would be 4 / 5 gallons.

The ratio of white:blue:red paint is given as 16:3:1. The sum of these ratio components gives the total parts for one 'unit' of paint.

So, 16 (for white) + 3 (for blue) + 1 (for red) = 20 total parts.

This implies that the 20 parts in this ratio make up 1 gallon of purple paint (as per the question). To find the quantity of white paint needed, we simply need to convert the 'parts' of white paint into gallons.

Since 20 parts is equivalent to 1 gallon, 1 part would be equivalent to 1/20 of a gallon. Therefore, 16 parts of white paint would be equivalent to :

= 16 * (1/20)

= 16/20

= 4/5 gallons

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Answer:

the correct APEX answer is $4999.17

The cost of car is $4,999.16.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A used-car dealer has a vehicle on the lot with a sticker price of $5999.

Mark up = 20%

let the cost of Car be x.

So, x+ 20% of x = 5999

x + 20/100 x = 5999

x + 0.20 x = 5999

1.2 x= 5999

x = 5999/ 1.2

x = $4,999.16

Hence, the cost of car is $4,999.16.

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The distributive property of multiplication is used to simplify 7 x 22. By substituting 22 with 20 + 2 and distributing the multiplication, it becomes 7 x 20 plus 7 x 2, which equals 154.

The question is asking us to use the distributive property of multiplication to calculate 7 x 22. The distributive property allows us to multiply a single term and two or more terms inside a set of parenthesis. Here we are given the hint that 22 = 20 + 2.

Following the hint, we substitute 22 with (20 + 2) in the multiplication expression. So, 7 x 22 becomes 7 x (20 + 2). Now, by distributive property, we can take the multiplication inside the parenthesis.

By adding both these results, 140 + 14, we get the final answer 154.

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Answer:

dont come at me if im wrong but im pretty sure the answer is 1/2 or .5

Step-by-step explanation:

The percentage of fruit is there in the cake will be 11%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Mass of cake = 2.5 kg

And, The amount of fruit = 275 g

Now,

Find the percentage of fruit is there in the cake as;

Since, Mass of cake = 2.5 kg

                               = 2,500 g

And, The amount of fruit = 275 g

So, The percentage of fruit = 275 / 2,500  x 100

                                          = 0.11 x 100

                                          = 11%

Thus, The percentage of fruit is there in the cake will be 11%.

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Answer:

400+ (15c)

$670

Step-by-step explanation:

Eliza earns per week = $400

She earns for each new customer's signs up = $15

Let the number of new customers Eliza signs up = c

The expression that shows her earning in a week will be

400+ (15c)

If the number of customers that signs up = 18

The weekly earning of Eliza will be = 400+(15 × 18)

                                                          = 400 + 270

                                                          = $670

Eliza's earning in a week would be $670.

Answer:

They can paint 1050 sq.feet with 3 gallons of paint

Step-by-step explanation:

Given :Stacy and Neil painted 280 ft2 of there living room wall with 4/5 gallon of paint.

To Find : How many square feet can they paint with 3 gallons of paint?

Solution :

Area painted with [tex]\frac{4}{5}[/tex] gallons of paint = 280

Area painted with 1 gallon of paint =[tex]\frac{280}{\frac{4}{5}} = 350 ft^2[/tex]

Area painted with 3 gallons of paint =[tex]350 \times 3 = 1050 ft^2[/tex]

Hence they can paint 1050 sq.feet with 3 gallons of paint

To solve the inequality x² ≥ 49, take the square root of both sides and consider both positive and negative roots. The solutions are x ≤ -7 or x ≥ 7.

To solve the inequality x² ≥ 49, we need to consider the values of x that satisfy this condition. Let's break it down step-by-step:

Step-by-Step Explanation

x² ≥ 49. To solve this, we can take the square root of both sides of the inequality. Remember, when taking the square root of both sides, we must consider both the positive and negative roots.

Solve for x: |x| ≥ √49.

Since √49 = 7, the inequality becomes: |x| ≥ 7.

This implies x can be greater than or equal to 7 or less than or equal to -7.  

Therefore, the solution is: x ≤ -7 or x ≥ 7.

In interval notation, this solution is written as: x ∈ (-∞, -7] ∪ [7, ∞).

The inequality will be;

⇒ 9 ≥ 15 - x

Where, x  is a number.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The expression is,

''Nine is greater than or equal to 15 minus a number''

Now,

Let a number = x

So, We can formulate;

The inequality for the given expression is,

⇒ 9 ≥ 15 - x

Thus, The inequality will be;

⇒ 9 ≥ 15 - x

Where, x  is a number.

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36.50/2 = 18.25 per hour

18.25 *4 = 73

18.25 * 5 =91.25

18.25 *8 = 146