Math 1 17 Feb

Math 1

February 17, 2021

Example 1

Draw this image, when you are completed drawing this image move onto the next slide to see the video explanation of how to find the missing hypotenuse.

Example 2

Draw this image, when you are completed drawing this image move onto the next slide to see the video explanation of how to find the missing hypotenuse.

Example 3

Draw this image, when you are completed drawing this image move onto the next slide to see the video explanation of how to find the missing hypotenuse.

Example 4

Draw this image, when you are completed drawing this image move onto the next slide to see the video explanation of how to find the missing hypotenuse.

Example 5

Draw this image, when you are completed drawing this image move onto the next slide to see the video explanation of how to find the missing hypotenuse.

Fill in the Blanks

What is the length of the missing side of the triangle?

Fill in the Blanks

What is the length of the missing side of the triangle?

Example 6

Brand M Cinnamon which costs $16/lb is made by combining Indonesian cinnamon which costs $20/lb with Thai cinnamon which costs $13/lb. Find the number of lb

of Indonesian cinnamon and Thai

cinnamon required to make 21 lb of Brand M Cinnamon.

Example 7

A metallurgist needs to make 12 lb. of an alloy containing 46% nickel. She is going to melt and combine one metal that is 50% nickel with another metal that is 38% nickel. How much of each should she

use?

Example 8

Emily wants to make 6 L of a 20% saline solution by mixing together a 45% saline solution and a 15% saline solution. How much of each solution must she use?

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

Which system of inequalities is graphed below?

• $x-y\ge-3$

  $x-y\ge4$
  

• $x-y\le-3$
  

  $x-y\le4$
  
  

• $x-y\ge-3$

  $x-y\le4$
  

• $x-y\le-3$
  

  $x-y\ge4$
  

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

An antique table was purchased for $75 and its value grows by 5% each year. Which function represents the value of the table after t years?

• $f\left(t\right)=75\left(0.05\right)^t$

• $f\left(t\right)=75\left(1.05\right)^t$

• $f\left(t\right)=75\left(0.95\right)^t$

• $f\left(t\right)=75\left(1.50\right)^t$

Fill in the Blanks

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

How many liters of a 15% sugar solution must be mixed with 5 liters of a 20% sugar solution to make a 16% sugar solution?

Fill in the Blanks

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

Vickie went walking on a trail, averaging 6 kilometers per hour. One hour later, Randy left on his motorcycle to find her, traveling at a speed of 30 kilometers per hour. How far down the trail were they when Randy found Vickie?

Fill in the Blanks

Simplify. Your answer should only contain positive exponents. Use ^ for exponents. Write your answers in alphabetical order.

 $\frac{\left(y^{-4}\right)^3\times2x^4y^3}{2xy^{-2}}$  

Fill in the Blanks

Eduardo's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 8 senior citizen tickets and 6 student tickets for a total of $102. The school took in $48 on the second day by selling 5 senior citizen tickets and 2 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.

(senior ticket, student ticket)

Multiple Choice

What is the system of inequalities displayed in the graph?

• $3x+8y>64$
  $x-2y\le-2$
  

• $3x+8y>64$
  $x-2y\ge-2$
  

• $3x+8y<64$
  $x-2y\le-2$
  

• $3x+8y<64$
  $x-2y\ge-2$
  

Multiple Choice

What graph represents the following system of inequalities?

 $y\le\frac{4}{3}x+2$  
 $y\le-2$  

Fill in the Blanks

Nicole asked you to make 9 gal. of fruit punch that contains 20% fruit juice by mixing together some amount of Brand A fruit punch and some amount of Brand B fruit punch. Brand A contains 30% fruit juice and Brand B contains 15% fruit juice. How much of each do you need?

(Brand A, Brand B)

Fill in the Blanks

Baking flour which costs $7/lb is made by combining bleached flour which costs $4/lb with unbleached flour which costs $8/lb. Find the number of lb of bleached flour and unbleached flour required to make 20 lb of baking flour.

(bleached flour, unbleached flour)

Fill in the Blanks

For her birthday party Kristin mixed together 6 gal. of Brand A fruit punch and 9 gal. of Brand B. Brand A contains 40% fruit juice and Brand B contains 50% fruit juice. What percent of the mixture is fruit juice?

Multiple Choice

The table below shows the average verbal and math score on a test for students in seven states. Using the line of best fit for the data, what is the approximate predicted average math score for a state that had an average verbal score of 500?

• 550

• 560

• 570

• 580

Fill in the Blanks

Find the product of the expression. Use ^ for exponents.

 $7x\left(4x-8\right)$