An equilateral triangle has a perimeter of 600 feet. What is the length of each side?
600/3= 200 feet
Are they equivalent expressions? Why or why not?
7(3x+21) and 21x+21
NO! The error was that the person did not multiply the second term.
In triangle ABC, Side BC is 5 inches. In a scaled copy, the corresponding side EF is 10 inches, what is the scale factor?
The scale factor is 2.
Darius finds $3.00 but then looses it. How much money does he have now?
$0.00
Kayla has 15% of the $30, how much money does Kayla have?
.15 * 30= $4.50
A square has a perimeter of 420 inches. Each side is 2x+5. What is the length of each side?
4(2x+5)=420
8x+20=420
8x+20-20=420-20
8x=400
8x/8=400/8
x=50 , each side is (2X50+5) = 105
Write the inequality for this graph:
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
X≤-1
Notice the circle is closed at negative 1 so that means less than or equal to -1. The graph is pointing the left, so it is less than (the numbers are less as you move left).
Kayla sees a graph that has coordinates (1,3), (2,6) and (3,9). Does the graph represent a proportional relationship?
Yes, the constant of proportionality is 3.
Y=3x
The following averages were recorded for Brooklyn, NY in January. What is the mean temperature?
-20, 40, -15, 2, 30, -1, 0
All all the temperatures together then divide by 7.
The average temperature was 5 degrees.
Khristopher is buying a new football that is 30% off. If the original cost is $50, how much will he pay for the football?
100%-30%= 70%
.70 * 50= $35
Triangle ABC is congruent to Triangle DEF. Which side corresponds with side AB?
Side DE
What is the solution to
2x+1>6
Solve like an equation but keep the inequality:
2x+1>6
Subtract 1 from both sides: 2x+1-1>6-1
2x>5
Divide both sides by the coefficient 2:
2x/2>5/2
x=2.5
Khristopher can run 5 miles in 40 minutes. If he runs 17 miles, how many minutes will it take him?
5 = 17
40 x
Cross multiply 40(17)= 5x
Divide by 5 on both sides 680/5=5x/5
x=136 minutes
Will the product of 9(-1/2) be positive or negative? Explain your reasoning
The product will be negative because one of the factors are negative.
Natalia and Jocelyn go out for lunch. If their meal cost $45 and there is a 9% sales tax, how much will their bill be?
45* 1.09= $49.05
Angle GEF is vertical to angle HEK. If angle HEK measures 134 degrees, how much does angle GEF measure?
134 because vertical angles are congruent.
Santo and Aaron play video games for a total of 300 minutes this week. Santo plays two times longer than Aaron and for an additional 30 minutes on the weekends. What is an equation to represent this description? How long do they both play for?
X+ (2x+30)= 300
3x+30=300
3x+30-30= 300-30
3x=270
3x/3=270/3
x=90 minutes is the time that Aaron plays, 2(90)+30= 210 minutes is the time that Santo plays.
Jocelyn and Aaron are going shopping for summer clothes at Old Navy. Jocelyn sees a sale 6 dresses for $45. Aaron sees a sale, 8 shorts for $60. Who is getting the better deal?
Find how much Jocelyn is spending per dress,
$45/6= $7.50
Find how much Aaron is spending per pair of shorts
$60/8= $7.50
They are both getting an equally good deal as the unit rate is the same for both purchases.
Jaspere climbs a mountain and starts at sea level. He climbs up 400 feet and then descends 800 feet. Write and solve an addition equation to show his progress.
400+ (-800)= -400 feet
Mrs. Fernandez has booked a trip to Mexico for this summer. If she purchased the trip for $1500 which was 25% off, what was the original cost of the trip?
$1500= 75%
1500/3= 500
So $500 would be 25%
$1000 would be 50%
$1500 would be 75%
$2000 would be 100%, or the original cost.
Angles TUV and angles WUX are supplementary. If angle WUX measures 55 degrees what is the measure of angle TUV?
55+TUV= 180
180-55= 125 degrees.
Natalia is solving the equation 25x-45=250.
What is her first step going to be?
What is her second step going to be?
Add 45 to both sides.
To divide by 25 on both sides.
Find the relationship of blocks of cheese to people. (Use a ratio table)
Blocks of Cheese People
4 6
x 20
Cross multiply and divide: 4(20)=6x
80/6=6x/6
13.333=x
Jocelyn is giving out 400 fliers for an art show. If she gets her 6 friends to help and she passes out 30 fliers, how many fliers will her friends each pass out?
400= 30+6x
400-30=30-30+6x
370=6x
370/6=6x/6
61.66=x fliers
Darius is selling his drawings to a company that marks up the cost by 35%. If the original price of the drawing is $15, what would the drawing be sold for?
15 X 1.35= 20.25