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3 years ago

Can i get a step by step for this?

Mathematics

1 answer:

jonny [76]3 years ago

8 0

Answer:

x = 85°

Step-by-step explanation:

Sum of interior angles of any triangle is 180°:

52° + 43° + x = 180°
95° + x = 180°
x = 180° - 95°
x = 85°

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FRANK has a paper clip.it has a mass of 9g and a volume of 3cm3.what is its density?

Pachacha [2.7K]

Answer:

Step-by-step explanation:

The density of a substance can be found by using the formula

$density = \frac{mass}{volume} \\$

From the question we have

$density = \frac{9}{3} = 3 \\$

We have the final answer as

Hope this helps you

7 0

2 years ago

Commission: 10 percent on first $5,000; 15% over $5,000. Find the total graduate commission on $22,000.

natta225 [31]

Based on the information about the percentage, the commission that will be paid will be $3050.

<h3>How to solve percentage</h3>

From the information given, it was stated that there's a 10 percent on first $5,000 and 15% over $5,000.

The total graduate commission on $22,000 will be:

= (10% × $5000) + (15% × $17000)

= (0.1 × $5000) + (0.15 × $17000)

= $500 + $2550

= $3050

Learn more about percentages on:

brainly.com/question/24304697

8 0

2 years ago

What is the slope and y-intercept for the graph of the equation Y= 4/5 x - 3 ?

vichka [17]

So,

The slope-intercept form is as follows:
y = mx + b

"m" is the slope, and "b" is the y-intercept. The y-intercept for this equation is (0,b).

Our equation is $y= \frac{4}{5} x-3$

That means that $\frac{4}{5}$ is the slope, and -3 is the y-intercept.

5 0

3 years ago

A. f(x) = l-2xl - 3 Domain: {1, 2, 3} Find the range

gizmo_the_mogwai [7]

Hello there!

We are given the function:

$\displaystyle \large{ f(x) = | - 2x| - 3} \\$

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

x = 1

$\displaystyle \large{ f(1) = | - 2(1)| - 3} \\ \displaystyle \large{ f(1) = | - 2| - 3} \\$

Recall that any numbers in absolute value are always positive.

$\displaystyle \large{ f(1) = 2 - 3} \\ \displaystyle \large{ f(1) = - 1} \\$

x = 2

$\displaystyle \large{ f(2) = | - 2(2)| - 3} \\ \displaystyle \large{ f(2) = | - 4 | - 3} \\ \displaystyle \large{ f(2) = 4 - 3} \\ \displaystyle \large{ f(2) = 1}$

x = 3

$\displaystyle \large{ f(3) = | - 2(3)| - 3} \\ \displaystyle \large{ f(3) = | - 6| - 3} \\ \displaystyle \large{ f(3) = 6 - 3} \\ \displaystyle \large{ f(3) = 3}$

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

6 0

2 years ago

A food service in the mall prepares free samples of chicken to give out during dinner time. One hour later, the food service has

jeka94

The food service gave out 80 samples, which is 4 fewer than 70% of the total number of samples they prepared. Lets make x the total number of samples they prepared.

So lets write it as an equation

80 = (70% of x) -4

70% converts to a decimal by moving the decimal point 2 spaces up, so it is 0.7

80 = 0.7x-4

Add 4 to both sides of the equation

84 = 0.7x

Divide both sides by 0.7 to isolate the x

x = 120

The food service prepared 120 samples.

5 0

2 years ago