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A square piece of cheese covers 10 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.)
3.14 inches
3.15 inches
3.16 inches
3.17 inches
Answer:
3.16 is the answer
Hope it helps!
Step-by-step explanation:
The approximate length of one side of the piece of cheese is 3.16 inches so option (C) will be correct.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Area of square = Side²
The perimeter of the square = 4× side
Length of diagonal of square = √(2) × side
Let's say the length of the side of the piece is x
Then,
Area = x²
Since it covers 10 inches² so it means it has an area of 10 inches²
So,
x² = 10 ⇒ x = 3.16 inches.
Hence "The approximate length of one side of the piece of cheese is 3.16 inches".
For more about a square,
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Tickets for a raffle cost
$6. There were 743 tickets sold. One ticket will be randomly selected as the winner, and that person wins
$1100 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Answer:
Tickets for a raffle cost $14. There were 834 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1200 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
-----
Random "winning" value::.....1214....... -14
Probabilities:::::............1/834.... 833/834
----------
Expected Value = (1*1214 -14*833)/834 = -$12.53
Step-by-step explanation:
A line segment of length k is divided into 3 equal parts what is the distance between midpoints of the first and third segments
Line segment of length k is divided into 3 equal parts.
so first segment is 0-k/3 and third segment is 2/3k-k
so mid-pt of 1st = k/6 and 3rd = 5/6k
so the distance in between = 5/6k-k/6 = 4/6k = 2/3k
A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 1125 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
First car consumed 25 gallons
Second car consumed 30 gallons
Step-by-step explanation:
Let x = first car gallons
y = second car gallons
15x + 25y = 1125
x + y = 55
Let's use substitution method
Subtract both sides of the bottom equation by y
x + y = 55
- y - y
x = 55 - y
Plug in the new x into the top equation
15(55 - y) + 25y = 1125
825 - 15y + 25y = 1125
10y + 825 = 1125
Subtract 825 from both sides
10y + 825 = 1125
- 825 - 825
10y = 300
Divide by sides by 10
10y/10 = 300/10
y = 30
The second car consumed 30 gallons
Plug in the new y into one of the original equations; let's use the bottom one
x + 30 = 55
- 30 - 30
x = 25
The first car consumed 25 gallons
Note that a change can be an increase or a decrease.
For an increase, use a positive number.
For a decrease, use a negative number.
(a) Laura pumped 7 gallons of water into her pool each minute for 14 minutes. What was the total change in the amount of water in the pool?
Answer:
7 gal/min * 14 min = 98 gallons
Step-by-step explanation:
2. Farmers harvested tomatoes on Monday, Tuesday, and
Wednesday. The number of tomatoes increased by 200 each
day. The farmers harvested a total of 5700 tomatoes. How
many tomatoes did the farmers harvest each day?
Answer:
Monday = 1,700
Tuesday = 1,900
Wednesday = 2,100
Step-by-step explanation:
i started by dividing the total (5700) by 3 (because there were 3 days)
5700 ÷ 3 = 1900
that gives us our middle number. from there, you subtract 200 to get the first day's number and add 200 to get the third day's number
1900 - 200 = 1700
1900 + 200 = 2100
solve pls brainliest
Answer: 8>a
Step-by-step explanation:
If 8 is greater than a, then this symbol > would be pointing at the 8. Think of it as a hungry mouth. It would rather have more food then less food, which is why is points at the 8.
Rodney and Josiah each bought a package of the same kind of cookies at
the store. Rodney ate 1/2 package of cookies on Monday and 1/3 of the same package
on Tuesday. Josiah 5/12 ate of his package on Monday and 1/2 of the package on
Tuesday. Who ate more? How much more?
9514 1404 393
Answer:
Josiah ate 1/12 package more
Step-by-step explanation:
Each of them ate 1/2 package on one of the days. On the other day, Rodney ate 1/3 = 4/12 of the package, and Josiah ate 5/12 of the package.
Josiah ate 5/12 -4/12 = 1/12 more of the package of cookies.
show the solution for 3x-2 ≥ x-1
Answer:
3
x
2
+
x
−
2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x \geq \frac{1}{2}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]3x - 2 \geq x-1\\\rule{150}{0.5}\\\rightarrow 3x -2 + 2 \geq x - 1 + 2\\\\\rightarrow 3x \geq x + 1\\\\\rightarrow 3x -x \geq x - x + 1\\\\\rightarrow 2x \geq 1\\\\\rightarrow \frac{2x \geq 1}{2}\\\\\rightarrow \boxed{x \geq \frac{1}{2}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
10(2x - 5) = -60
Pls
Find the mean median mode and range. 2, 4, 7, 15, 7, 4, 5, 4
Answer:
Mean: 6
Median: 4.5
Mode: 4
Range: 13
Step-by-step explanation:
Answer:
mean = 6
median = 4.5
mode = 4
range = 13
Step-by-step explanation:
To find the mean, median, mode and range firstly place the numbers in ascending order.
2, 4, 7, 15, 7, 4, 5, 4
= 2, 4, 4, 4, 5, 7, 7, 15
Mean:(Mean is the average of all the data in a set.)
[tex] \\ \tt2, 4, 4, 4, 5, 7, 7, 15[/tex]
[tex] \\ \tt = \frac{2 + 4 + 4 + 4 + 5 + 7 + 7 + 15}{8} [/tex]
[tex] \\ \tt = \frac{48}{8} [/tex]
[tex] \\ \bold{\tt = 6}[/tex]Median:(Median is the middle number of the set.)
2, 4, 4, 4, 5, 7, 7, 15
median
= 4+5/2
= 9/2
= 4.5
Mode:(Mode is the number which appears multiple times.)
2, 4, 4, 4, 5, 7, 7, 15
mode = 4
Range:(Range is the number which comes by subtracting the smallest number to the largest number.)
2, 4, 4, 4, 5, 7, 7, 15
Largest number = 15
Smallest number= 2
range
= 15-2
= 13
write six multiples of 2/5
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answer:
To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
hope its right
Laser Kingdom charges an $80 flat fee to rent out their laser tag room for birthday parties, and an additional $9 per person (p). The maximum amount Kaylee will spend on her daughter’s birthday party is $250. How many friends is her daughter allowed to ask to the birthday party?
Anton McRainy'sgross pay as a landscape designer is $52,375 a year. The state
income tax rate is 1.5% of taxable wages. Anton takes a married exemption of
$4,000 and $2,000 for his child. How much does Anton's employer withhold
yearly from his gross earnings for state income tax?
A.$710.25
B.$718.21
C.$695.63
D.$681.83
Answer:
C. $695.63Step-by-step explanation:
The tax is applied to the total minus the exempted amount:
(52375 - 4000 - 2000)*1.5/100 ≈ 695.63Correct choice is C
Answer:
yearly gross pay $52,375
subtract the exemption $52,375 - (4000 + 2000) = 46375
calculate the state income tax (46375) x (0.015) = 695.625
rounder to the nearest hundred $695.63
Your answer is C.
Step-by-step explanation:
solve pls brainliest
Step-by-step explanation:
17/6 = 2⅚
hope this helps you.
Answer:
[tex] \frac{17}{6} = 2 \frac{5}{6} [/tex]
Step-by-step explanation:
[tex] \frac{17}{6} = \frac{12 + 5}{6} = \frac{12}{6} + \frac{5}{6} = 2 + \frac{5}{6} = 2 \frac{5}{6} [/tex]
───────────── ೄྀ࿐ ˊˎ-
PRELIMINARY
Fractions are part of a whole. For example, if an object is divided into two equal parts, the value of each part is half or one-half of the total number of objects. Fractions can be expressed in the form: a/b
a is the numeratorb is the denominatorDISCUSSION
Fractions also have fractions in different forms but have the same value which are called equivalent fractions. Fractions can also be simplified. To find a fraction equal to a fraction, we can multiply (×) or divide (÷) the numerator and denominator of the fraction by the same number. And to simplify fractions, we can divide (÷) the numerator and denominator of the fraction with the same number.
**
There are various forms of fractions, including:
Common Fractions are fractions that consist of a numerator and denominator. Mixed fractions are fractions that consist of whole numbers and fractions. If the numerator of a fraction is greater than the denominator, the fraction can be converted into a mixed number. To get the mixed number form of a common fraction, divide the numerator of the fraction by the denominator. A decimal fraction is a fraction of tenths, hundredths, thousandths, and so on written using a comma (,).Percents are another form of fraction with a denominator of one hundred. Percent is written with the symbol %.**
Now from the discussion above, it turns out that ordinary fractions still have two more types, namely =
Pure Fraction➳ A pure fraction is a fraction whose numerator is smaller than the denominator.
Impure fractions➳ An impure fraction is a fraction whose numerator is greater than its denominator.
**
The arithmetic operations also apply to fractions, including:
Addition (+)Subtraction (-)Multiplication (×)Division (÷)................................
Answer Details:Subject: Mathematics
Grade: 5
Question Code: 2
Material : Chapter 5 - Fractions
Categorization Code : 5.2.5
Keywords: Definition of Fractions, Types of Fractions
please help this is for my study guide thanks!
Answer:
-23/40, 9/24, 20/32, 7/8, 10
Step-by-step explanation:
f(x)=4x^2+2x-6.find the range of function f(x).
Answer:
y ≥ 6.25
Step-by-step explanation:
f(x)=4x²+2x-6
positive (4) leading coefficient, curve is left up and right up
x coordinate of vertex: x = - b/2a = - 2/2*4 = - 1/4 (-0.25)
y = 4*(-1/4)² + 2*(-1/4) - 6 = -6 1/4 (-6.25) ... extreme
range: y ≥ - 6.25 [-6.25,∞)
Under what circumstances may a health insurer charge a higher premium to a woman with a genetic disposition to breast cancer? a) Her mother has breast cancer but she doesn't. O b) She has breast cancer. c) Her sister has breast cancer but she doesn't. d) Health insurers can never discriminate based on genetic information in this way.
Answer:
i think all can be corrected. and all r right
Create and solve another problem about jeremiah and his lemonade stand which requires multiplying decimals
Answer:
Step-by-step explanation:
9x + 15 > 3- 3x what’s the solution and steps
Find the value of x that makes m ∥ n please help me
Given that x° and 2x° are same-side interior angles, the value of x is: 60.
Recall:
The consecutive interior angles or same-side interior angle formed when a transversal intercepts two parallel lines are supplementary. They add up to 180°.x° and 2x° are same-side interior angles.
Therefore:
x° + 2x° = 180°
Add like terms together3x° = 180°
Divide both sides by 3x = 180/3
x = 60
In summary, given that x° and 2x° are same-side interior angles, the value of x is: 60.
Learn more about same-side interior angles on:
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I NEEDD HELP PLS AND THANK YOU
a. At 9am, the temperature was 34 degrees be
At 8pm, it dropped 6 degrees. What was the ending temperature?
b. At 6am, the temperature was 65 degrees above zero, by 2pm it dropped 17
degrees. At 6pm it dropped another 10 degrees. What is the ending
temperature?
Answer:
hi I need help
Step-by-step explanation:
Marie is reading a 271-page book. She has already read 119 pages. She uses the equation 119+8h=271 to find out how long it will take her to finish the book if she reads at about 8 pages per hour.
Solve for h.
Answer:
答案是一棵 12 98 百年的橡树和一千棵橡树
Answer:
h- 19
Step-by-step explanation:
Place the numbers in order from least to greatest.
Answer:
436, 4297, 4301
Step-by-step explanation:
look at the digits carefully and arrange them
Fourteen less children's meals were served
than adult meals at a barbecue. Children's
plates were $1.50 each and adults' plates
were $2.00 each. If the total amount of
money collected was $441, how many of
each type of plate was served?
What is the value of y?
A. 400
B. 30
C. 60°
D. 500
Answer:
2y°+y+10°+50°=180°[by sum of angles of triangle is 180°]
3y + 60°=180°
3y=180°-60°
3y=120°
y=120/3
y=40
option a.
What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom.
Answer:
Step-by-step explanation:
Face perimeter is
7.5 + 4(1.5) + 3(2.5) = 21 ft
Perimeter wall area
21(1.5) = 31.5 ft²
Face area (x2 for front and back)
2(7.5(1.5) + 2.5(1.5)) = 30 ft²
Total surface area
31.5 + 30 = 61.5 ft²
Write an equation in standard form of the line that passes through (-4,-4) and has the slope -3/2
Answer:
y=-1.5x-10
Step-by-step explanation:
standard form is y=mx+b m here is -1.5 -1.5*-4=6 6-10=-4
y=-1.5x-10