Unit 3 Lessons 1-4 Practice Problems
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Item 24
POSSIBLE POINTS: 21.33
Based on the given measurement in each situation below, estimate the other two measurements for the circle. Use 3.14 as an approximation for pi and round your answer to the nearest whole number.
Remember: Circumference= diameter × π OR Circumference= 2×radius× π
Type your answers in the boxes below.
1. The length of the minute hand on the clock is 5 inches.
Diameter:
inches Circumference:
inches
2. The distance across a sink drain is 3.8 cm.
Radius:
cm Circumference:
cm
3. The tires on a mining truck are 14 feet tall.
Radius:
feet Circumference:
feet
4. The fence around a circular pool is 75 feet long.
Diameter:
feet Radius:
feet
5. The distance from the tip of a slice of pizza to the crust is 7 inches.
Diameter:
inches Circumference:
inches
6. Breaking a cookie in half creates a straight side 10 cm long.
Radius:
cm Circumference:
cm
7. The length of the metal rim around a glass lens is 190 mm.
Diameter:
mm Radius:
mm
8. From the center to the edge of a DVD measures 60 mm.
Diameter:
mm Circumference:
mm
More help please! Giving 10 points for this :)
The figure below shows a rectangular prism and a cube:
A rectangular prism and a cube are drawn side by side. The length of the rectangle prism is 5 inches, the width is 4 over 5 inch, and its height is 1 and 3 over 5 inches. The cube has a side length of 1 over 5 inch.
How many such cubes are required to completely pack the prism without any gap or overlap?
Answer:
Calculate the volume of each shape.
Volume of rectangle = 6 x 5/6 x 1 2/6 = 6 2/3 cubic inches.
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216 cubic inch.
Now divide the volume of the rectangle by the volume of the cube:
6 2/3 / 1/216 = 1440
It will take 1.440 cubes to fill the rectangle.
Step-by-step explanation:
ILL GIVE BRAINLIEST I NEED HELP ASAP
Question 1
What is the probability of rolling an odd number on a fair number cube and tossing tails on a fair coin?
A. 1/4
B. 1/2
C. 5/8
D. 5/6
Question 2
A coin is tossed and a fair number cube is rolled.
What is the probability of getting heads and a 3 or 4?
Question 3
You toss a coin and a dice. The probability of getting tails and a 1 or 2 is 1/6. If you conduct 180 trials, predict the number of times the outcome will be heads and a 1 or 2.
A. 1080
B. 30
C. 20
D. 60
Answer:
1 is A 2 IS 1/8 3 IS B= 30
Step-by-step explanation:
This expression involves two numbers written in scientific notation.
Which is the simplified form of the expression?
Answer: the answer for it would be 20000 or should be
Step-by-step explanation:
4.2e7/2.1e3 should come out to 20000 at least my graphing calc says it should but it should come out to 20k
Please help me on these questions!!! Also, show your work so I can see how you did it so that I can learn how to do this stuff too!!!!! Lots of points if you help me on all of these questions!! Brainliest if you help me understand!!!
Answer:
Answer is F:
y = 2x + 4
Step-by-step explanation:
The slope-intercept form of a line is given by
y = mx + b
where m is the slope of the line and b is the y-intercept ie the y value where the line crosses the y axis for x = 0
In the line y = 2x + 4, the slope of the line is 2
If 2 lines are parallel to each other, they must have the same slope
Therefore the line passing through (-1,2) must have an equation of the form y = 2x + b.
There are only 2 choices that fit this equation, F and H
If we substitute the values of x=-1 into the F equation for testing we get
y = 2(-1) + 4 = -2 +4 = 2 which is the correct value for y for the point(-1,2)
The other choice y = 2x + 3 does not work because substituting for x we get
y = 2(-1) + 3 = -2 + 3 = 1 which is not the value of y for the point (-1,2)
Evaluate the expression. Write your answer as a fraction in simplest form.
-3 3/4 x 5/6 - 2 1/3=
The expression in simplest form is 7 7/24.
What is a Fraction?A fraction is a number that can be written in the form of p/q, where q≠0.
The expression given is -3(3/4) * (5/6) - 2(1/3)
-15/4 * 5/6 * (-7/3)
= (25*7) / (4*6)
= 175 /24
= 7 7/24
Therefore, the expression in simplest form is 7 7/24.
To know more about Fraction
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1. Diane's has $200 to spend on the basic phone service costs $17.89 per month. If Diane pays for 11 months how much money will she have left over?
2.To lay a drainage system it costs $120 for every 50 feet. Write an equation to determine the cost of laying 300 feet of drainage.
3.Solve: 12 = -4h + 7 +11h
Which of the following would be an appropriate first step to take in solving for "h"?
Group of answer choices
adding 7 to both sides
adding 12 to both sides
combining (-4h) and (11h)
multiplying both side by 4
Answer:
$3.21
Step-by-step explanation:
Answer:
1: $3.21.
2: 50x+120=300
3: h=5/7/ first step would be to adding 7 to both sides.
Step-by-step explanation:
for the 3rd:
you're combining like terms so you have to subtract 7 from both sides you gotta subtract 12-7 so that gives you 5=7h+7-7 and the subtract the 7-7, and that will give you 0 so you have 5=7h left.divide both sides by the same terms (7), so you'll have 5/7 and 7h/7 so 7/7=0 so you drop that and just have the h. now switch sides with the virable and the fraction you still have (5/7)you now have h=5/7.solve for d: 52.47d - 26.72 = 235.63
-3 2/7 -(2 2/3) can someone please help me
You work two jobs in the winter. You babysit for your neighbor, making $6 per hour, and you clear snow from driveways, making $10 per hour. You want to buy the latest X-Box ™ that costs $500. Write an equation that represents how you can earn enough money to buy the latest X-Box ™.
SECOND PART
Describe two ways that you can earn enough money to buy the latest X-Box ™. Show calculations that prove your two ways are viable answers
I HAVE NO CLUE HOW TO DO THIS PART
Answer:
( 6 x 12 + 10 x 8 ) = 200 + 10 x 30 = 300
Step-by-step explanation: babysit for 12 hours
clear snow for 38 hours not all in the same day but still
You use a stain remover on two separate stains on a shirt. Design and use a simulation to find the experimental probability that the stain remover removes both the mud stain and the food stain. Probability of Stain Removal Mud 90% Food 80%
Answer:
you would have to get 2 shirts with stains with stain remover and test it
Step-by-step explanation:
Answer:ابالواغودقذزرقق#دريد زسسدييبذثثهعغف
Step-by-step explanation:قفالبيللالفل
HELP ASAP PLS
I just posted a question in the health section I rlly need help asap! Im posting this in the math section so more people see it since ppl on here do math more than health. Pls don't troll or anything and don't waste the answers only answer If you can pls help
Answer:
Ill try not to sure what I can do though!
Step-by-step explanation:
i need help ASAP!!!!!!!!!!!!!!!!!!
i need help on this i was never able to figure it out
Answer:
the answer is 0
Step-by-step explanation:
Answer:
the answer is 2.5 hope this helps
Step-by-step explanation:
if not am deeply sorry
3x+5=29-9x
Solve x. Pls show your working
Answer:
x=2
Step-by-step explanation:
[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}[/tex]
3x+5-5=29-9x-5
[tex]\mathrm{Simplify}[/tex]
3x=-9x+24
[tex]\mathrm{Add\:}9x\mathrm{\:to\:both\:sides}[/tex]
3x+9x=-9x+24+9x
[tex]\mathrm{Simplify}[/tex]
12x=24
[tex]\mathrm{Divide\:both\:sides\:by\:}12[/tex]
[tex]\frac{12x}{12}=\frac{24}{12}[/tex]
[tex]\mathrm{Simplify}[/tex]
x =2
Answer:
x = 2
Step-by-step explanation:
1) Reorder the terms
3x + 5 = 29 - 9x
3x + 5 = -9x + 29
2) Subtract 5 from both sides
3x + 5 - 5 = -9x + 29 - 5
3x = -9x + 24
3) Add 9x to both sides
3x + 9x = -9x + 9x + 24
12x = 24
4) Divide both sides by the same factor
12x/12 = 24/12
x = 2
HELP ME ASAP. I WILL GIVE BRAINLIEST PLS PLS PLS HELP!!! DON'T ANSWER IF U ARE NOT GONNA GIVE A GOOD ONE!!!
Arrange the events based on when they happen in the plot of "Up the Slide" by Jack London.
Group of answer choices
1
[ Choose ]
2
[ Choose ]
3
[ Choose ]
4
[ Choose ]
5
[ Choose ]
Options:
Clay goes in search of a dead pine tree to use for firewood
Clay uses his ax to help him move down the mountain
Clay makes a profit from selling the firewood
Clay climbs across the steep mountain slope to cut down the tree
Clay discovers more trees to be used as firewood.
Answer:
1: clay climbs across steep mountain slope to cut treee
2:clay goes in search for a dead pine tree
3:clay discovers more trees to be used as firewood
4:clay uses his ax to climb down mountain
5: clay makes profit from selling firewood
Choose one card value and its additive inverse. Choose from the list below to write a real-world story problem that would model their sum.
a. Elevation: above and below sea level
b. Money: credits and debits, deposits and withdrawals
c. Temperature: above and below 0 degrees
d. Football: loss and gain of yard
Answer:
D
Step-by-step explanation:
I NEED ANSWERS QUICKLY PLEASE HELP!!! (I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST WITH THE CORRECT ANSWER!!!)
f(n)=-3n-1
Given this explicit equation, what is the common difference?
plz help with this problem
Seven more than 3 times a number can be translated
as what?
Answer:
3n+7
hope it helps......
I will give brainliest! Make sure to tell me each question label! In a triple batch of a spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons of salt. Answer the following questions about the mix.7a, 7b, 7c, 7d
(7a) How much garlic powder is used with 5 teaspoons of salt? *
(7b) How much salt is used with 8 teaspoons of garlic powder? *
(7c) If there are 14 teaspoons of spice mix, how much salt is in it? *
(7d) How much more salt is there than garlic powder if 6 teaspoons of garlic powder are used? *
Answer:
(7a) 2 teaspoons of Garlic Powder
(7b) 20 teaspoons of Salt
(7c) 10 teaspoons of Salt
(7d) 9 more teaspoons of Salt
Write the expression with fewer terms.
12x-4y+5x
Answer:
17x - 4y
Step-by-step explanation:
Is this a function----------------
Answer:
yes
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Answer:
Yes it is a function ------
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
А. 12 inches
B. 15 inches
C. 21 inches
D.40 inches
We know that,
☆ Perimeter of a Rectangle = 2 (length + width)
Hence,
42 = 2 (length + 6)
or, 42/2 = length + 6
or, 21 = length + 6
or, length = 21 - 6
or, length = 15
The length is 15 inches.
Therefore, the correct answer is option (B) 15 inches.A recipe calls for 3 cups of milk for every 2 cups of flour. If you have 15 cups of milk, how many cups of flour will you need?
help please due now....
Answer:
x = 2
Step-by-step explanation:
1. Divide both sides by 2
2 (x + 3) ÷ 2 = 10 ÷ 2
2. Simplify
x + 3 = 5
3. Subtract 3 from both sides
x + 3 - 3 = 5 - 3
4. Simplify
x = 2
A hospital ordered 4 boxes of cotton swabs. There were 71 cotton swabs in each box. How many cotton swabs did the hospital order in all
Answer:
284 you multiply the numbera
Step-by-step explanation:
71×4=284
A truck and a SUV are 315 miles apart when they start moving towards each other on a straight road. The speed of the SUV is 55 while the truck's speed is 5 mph slower.
How far apart are the vehicles?
Please help me.
Simplify the expression 15 − 3(3a + b) + 5a − 6b.
Answer:
Step-by-step explanation:
the answer is -4, 9, and 15