Triangles
Mrs Nahnooch made a triangle but is missing an angel this is her equation so far:
60 + 20 + x = 180
Find the answer to x and re-write the equation.
100
2. Ryan has a mug with a radius of 7cm π, what is the diameter?
The diameter of the mug is 14cm π
2. Liam went to an arcade with $25. He spent $7 on snacks and used the remaining money to buy arcade tokens. If each token cost $0.50, how many tokens did he buy?
X=36
3x- -7>11
x > 6
Solve for y
y/6=8/12
y = 4
Michael went shopping for a new video game because of a sale. The price on the tag was $30, but Michael paid $27 before tax. Find the percent discount.
10
15x+30 = 5(x - 2)-10x
X = -2
A triangle has a base of 12 cm and a total area of 48 cm². What is the perpendicular height of this triangle?
500
4. Calculate the circumference C=2 x 3.14 x 5= ?
31.4 Meters
Noah paid a one-time initiation fee of $50 to join a gym. He is then charged a fixed monthly rate. After 6 months, he has paid a grand total of $230. What is his monthly gym fee?
X = 30
X - 12 > -5
X > 7
Solve for w
2/9=1/w
w = 4.5
A chemistry student calculates the density of a pure copper block to be 8.42g/cm3; the actual acceptance density of copper is 8.96 g/mc3. What is the student percent error?round your answer to the nearest tenth percent
6
Simplify the following expression by combining like terms:
(4x+7+3x-2-x)
(5x + 4)
In a specific triangle, the first angle measures 45° and the second angle measures 60°. What is the measure of the third interior angle?
75
3. The circumference of a circle is 18in π, what is the diameter?
The diameter is 36in π
18in π x 2= 36in π
3. Maya wants to buy a tablet that costs $340. She already has $100 saved. If she plans to save $30 every week from her paycheck, how many weeks will it take her to afford the tablet?
X= 8
When multiplying or dividing both sides of an inequality by a negative number, the inequality sign must be reversed? True or False?
True
Solve for m
4/m=7/42
m = 24
a baker calculates that the wedding cake needs exactly 4.50kg of flour, during the busy morning rush, they accidentally weigh out 4.77kg of flour instead. What is the baker percent error?
7.41%
(2a + 7a = 18)
(a = 2)
Daniel wrote an equation for a triangle which looked like this:
15 + 90 + 70 = 180
Is his equation correct? Why or why not? Fix his mistake.
Daniel is wrong because a triangle should add up to 180 which in his case adds up to 175 in change it be 75 so 15 + 90 + 75 =180.
5. The circumference of a circle is 134in π, what is the radius?
The radius is 67in π
134in π /2= 67in π
6. A rental car company charges a base fee of $45 plus an additional $0.20 per mile driven. If Chloe's total rental bill was $75, how many miles did she drive?
M=150
4x + 9 < 25
X < 4
The Road Trip Problem:
A car travels 140 miles on 4 text gallons of gas. How many miles can it travel on 10 text gallons of gas?
350 miles
One year, the population of a city was 376,000. Several years later it was 338,400. Find the percent decrease
10%
Liam is organizing his school supplies. He opens a box and finds 4 blue pens, 3 notebooks, 5 blue pens, and 2 notebooks.
9p+5n Liam has a total of (9p + 5n) 9 blue pens and 5 notebooks.
If a triangle has angles measuring 50 degrees and 70 degrees, what is the measure of the third angle?
60 degrees
7. The diameter of a circle is 56.2in π, what is the radius. Round your answer to the nearest whole number.
56.2in /2= 28.1in
3x-7=14
X = 7
Maya is planning a birthday party at a local arcade. The venue charges a flat fee of $50 to rent the private room, plus $15 per guest for game tokens. If Maya has a maximum budget of $200, what is the greatest number of guests she can invite?
Maya can invite a maximum of 10 guests.
The Grocery Store
If 3 pounds of apples cost $4.50, how much will 5 pounds cost?
12 gallons
The price of a concert ticket increases from $80 to $104. What is the percentage increase in the price of the ticket?
30%
Sam goes to the store to buy fruit for a party. He buys 4 bags of red apples and 3 bags of green apples. Each bag holds the exact same number of apples. On his way home, he eats 5 apples from his bags. When he gets home, he counts his apples and has 65 left. How many apples are in each bag?
(x = 10)
Joe has to make 3 triangles but only has these sides: {15, 2, 19}, {6,3,7}, {7,10,20}
Which of these sides can make a triangle?
6,3,7 because 6+3>7
6. A chord is 8 cm long and is 3 cm away from the center of a circle. What is the radius of the circle?
5 cm
2x+5=15
X= -5
Scenario: Maria works at an electronics store. She earns a base salary of $400 per week, but the store deducts $10 from her bonus pool for every customer complaint received. She needs her weekly earnings to stay above $320 to pay her bills. What is the maximum number of customer complaints she can receive?
Maria can receive a maximum of 7 customer complaints to keep her earnings above $320.
The Cookie Recipe
A recipe requires 2 cups of flour to make 24 cookies. How many cups of flour are needed to make 180 text cookies?
15 cups
Travis was out at a restaurant for dinner when the bill came. His dinner came to 35$. After adding in a tip, before tax, he paid 42.35. Find the percent tip
21%
You go to a cafe and buy 4 lattes and 3 muffins for a total of $28. The next day, you buy 2 lattes and 5 muffins for $26. What is the price of a single latte and a single muffin?
L=$4.43
M=$3.43
Does {50,1,100} make a triangle?
No
Calculate area (A): Use the formula A = π R^2.
A = 3.14 x 5^2 = 3.14 x 25 = ?
78.5 square meters
x/4 + 3=8
X=20
You have $50 to spend on a movie and snacks. A movie ticket costs $12. How many snacks (which cost $4.50 each can you buy?
You can buy a maximum of 8 snacks.
Solve for z
10/14=25/z
z = 35
A popular pair of running shoes originally cost $120. During a holiday clearance sale, the price of the shoes was dropped to $90. What is the percent decrease in the price of running shoes?
25%
Which expression is equivalent to 8t+6+6t+10?
14t+16
What is the area of a triangle with a base of 30 cm and a height of 6 cm?
90
Problem: What is the center and radius of a circle with the equation (x - 3)^2 + (y + 4)^2 = 25?
Radius 5 Center (3, -4 )
x-2/3 =4
X=14
5x - 7 > 13
X > 4
The Reading Assignment
Maya reads 20 text pages in 15 text minutes. At this exact same rate, how many pages can she read in 2 hours ?
160 pages
Chase went shopping for a new camera. The listed price of the camera was $39, but the price with tax came to 41.73. Find the percent sales tax.
7%
(3x+5+2x-1)
5x + 4
Ariany says {11,7,4} does not make a triangle, while Genesis says it does because 7+4 is equal to 11 which is equal to 11 not greater than or less than so it could be equal to 11 and not less than or greater than. Take into thought these arguments: which of the two girls are correct and why?
Ariany is correct because your c should always be greater than a+b or equal to.
The diameter of a circle clock that has a radius of exactly 12cm, what is the diameter of the clock?
24cm
6-5x=-24
X=6
An elevator in a warehouse has a maximum weight capacity of 2,500 pounds. A delivery driver needs to move a heavy piece of machinery that weighs 850 pounds, along with several identical storage boxes that weigh 45 pounds each. How many storage boxes can the driver safely load into the elevator with the machinery?
The driver can safely load a maximum of 36 boxes.
The Leaky Faucet
A leaky faucet wastes 3 gallons of water every 8 hours. How many gallons of water will it waste in 32 hours?
12 gallons
Mariam invests money in an account paying simple interest. She invests $160 and no money is added or removed from the investment. After one year, she has $166.40. What is the simple percent interest per year?
4%
Which expression is equivalent to 9t+t−6t?
9, t, plus, t, minus, 6, t
4t
Does {15, 22, 36} represent the 3 angles of a triangle?
Yes a+b>c 15 + 22 > 36 (15+22 = 37)
Identify the radius the radius (r) is the half of the diameter (d) R=10/2= ?
5 meters
Sophia bought 3 concert tickets online. The ticketing website charged a flat service fee of $12 for the entire order. If her total bill was $147, how much did each individual ticket cost?
Each ticket cost $45
Or
X= 45
2x+7< 15
X < 4
Solve for x
3/5=x/25
X=15
1. Jade went shopping for a new pair of shoes. The price of the pair of shoes was $2, but the price with taxes came to 27.25. Find the percent sales tax.
9
Equation 1: (3x + 5x = 16)
Combine: (8x = 16)
Divide: (x = 2)