Final answer:
To find the height of the Statue of Liberty, we set up an equation considering the total height of the pedestal and the height difference between the statue and the pedestal. Solving the system of linear equations, we determine that the height of the Statue of Liberty itself is 46.05 meters.
Explanation:
To find how tall the Statue of Liberty is, excluding its pedestal, we can set up an equation based on the information given. Let's denote the height of the Statue of Liberty as S, and the height of the pedestal as P.
We know that the total height of the Statue of Liberty and its pedestal is 92.99 meters, and we can express that as:
S + P = 92.99
Additionally, it is given that the pedestal is 0.89 meters taller than the Statue of Liberty, so we have:
P = S + 0.89
Using substitution, we can replace P in the first equation with S + 0.89:
S + (S + 0.89) = 92.99
This simplifies to:
2S + 0.89 = 92.99
To find the height of the Statue of Liberty (S), we subtract 0.89 from both sides of the equation:
2S = 92.99 - 0.89
2S = 92.10
And then we divide both sides by 2 to solve for S:
S = 92.10 / 2
S = 46.05
So, the height of the Statue of Liberty itself is 46.05 meters.
A hospital discards 1000 patient gowns every 3 months how many gallons will they need to replace the discarded ones over the next year
The price of an item has dropped to $46 today yesterday was $115 find the percent decrease
Answer:
percent decrease = 40%
Step-by-step explanation:
The price of an item yesterday = $115
Today the price of the item has dropped to = $46
The percent decrease = [tex]\frac{46}{115}\times 100[/tex]
= 0.40 × 100
= 40%
The percent decrease would be 40%.
The mechanic does 4 oil changes in 2 hours. How many oil changes can the mechanic do in 8 hours?
Answer:it will be 2
Step-by-step explanation:because you multiply it23457
(5y - 1) + (-2y + 4)
5y-1 + -2y+4
combine like terms
5y-2y = 3y
-1+4=3
so you have 3y+3
Show how you can use the Distributive Property to find the product of 7 and 56?
The product of 7 and 56 by using substitution method is 392.
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
Given that;
The number are,
⇒ 7 and 56.
Now,
Find the product of 7 and 56 by using substitution method as;
⇒ 7 × 56 = 7 × (50 + 6)
= 7 × 50 + 7 × 6
= 350 + 42
= 392
Thus, The product of 7 and 56 by using substitution method is 392.
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Checking account A charges a monthly service fee of $25 and a wire transfer fee of $6.50 each, while checking account B charges a monthly service fee of $16 and a wire transfer fee of $8.50 each. Which checking account is the better deal if 4 wire transfers are made per month?
In mom's car, the number of miles driven is proportinal to the number of gallons of gas used.
HELP ASAP 20 An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 6 times as much as the song download. You have a credit of $60. How many songs can you purchase after buying 7 videos?
Find the points of intersection of the line x = 3 + 2t, y = 7 + 8t, z = −2 + t, that is, l(t) = (3 + 2t, 7 + 8t, −2 + t), with the coordinate planes.
Write an expression for the calculation 4 times the difference of 10 and 8 minus 3
An expression for the calculation '4 times the difference of 10 and 8 minus 3' is written as[tex]4 imes (10 - 8) - 3.[/tex]When evaluated, this expression results in the value of 5.
To write an expression for the calculation 4 times the difference of 10 and 8 minus 3, you need to apply the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
The difference of 10 and 8 is calculated first, which is 10 - 8. This equals 2. Then, you need to multiply this difference by 4, resulting in [tex]4 imes 2.[/tex] Finally, subtract 3 from that product to find the value of the entire expression. So, the expression is
To evaluate this expression, first calculate the difference inside the parentheses (10 - 8 = 2), then multiply by 4 ([tex]4 imes[/tex]2 = 8), and finally subtract 3 (8 - 3 = 5). So, the expression evaluates to 5.
Deshawn fuels 2 yachts and 6 barges. Each boat gets 126 gallons of fuel. To find how much fuel he needs for all the boats, deshawn first findsthe number of boats, then he uses an algorithm to multiply. Which are the three partial products deshawn could add to find the final product?
What is the unit rate for 768.57 m 41.1 h? Enter your answer, as a decimal, in the box.
Final answer:
To find the unit rate, divide 768.57 meters by 41.1 hours resulting in a unit rate of 18.70 meters per hour.
Explanation:
The question asks for the unit rate of 768.57 meters over 41.1 hours. To calculate this, divide the distance by the time:
First, write the given ratio as a fraction. 768.57 m over 41.1 h.Second, divide 768.57 by 41.1 to find the unit rate in meters per hour. 768.57 m ÷ 41.1 h = 18.70 m/h (rounded to two decimal places as per the significant figures in the original distance).The division, 768.57 m ÷ 41.1 h, yields a unit rate of 18.70 m/h (rounded to two decimal places to match the precision of the original distance). Hence, the unit rate for this scenario is 18.70 meters per hour.
Therefore, the unit rate is 18.70 meters per hour.
To which set(s) does 12/3 belong? Choose all that apply. A.Counting/Natural Numbers B.Whole Numbers C.Integers D.Rational Numbers E.Irrational Numbers F.Real Numbers
The number 12/3 belongs to the sets of Whole Numbers, Integers, and Rational Numbers.
Explanation:The number 12/3 belongs to the following sets: Whole Numbers, Integers, and Rational Numbers.
A whole number is an integer that is greater than or equal to zero. Since 12/3 = 4, which is a positive integer, it belongs to the set of Whole Numbers.
An integer is any positive or negative whole number, including zero. Since 12/3 = 4, it is a positive integer and belongs to the set of Integers.
A rational number is any number that can be expressed as a fraction. Since 12/3 can be simplified to 4, it is a rational number.
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A Factory processes 1,560 ounces of olive oil per hour. the oil is packaged into 24-ounces bottles. how many bottles does the factory fill in one hour
Every week, Mr. Kirkson uses 3 1/6 gallon of water to water every 1/3 square foot of his garden. How many gallons of water does Mr. Kirkson use per square foot to water his garden each week?
3 1/6 / 1/3 =
19/6 / 1/3 =
19/6 * 3/1 = 57/6 = 9 1/2 gallons per square foot
Answer:
Mr. Kirkson uses 9.60 gallons of water per square foot to water his garden each week.
Step-by-step explanation:
This problem can be solved by a simple rule of three.
We have that 1/3 = 0.33 square foot of his garden uses uses 3 1/6 = 19/6 = 3.167 gallons of water. How many are used per square foot? So:
1 foot - x gallons
0.33 foot - 3.167 gallons
[tex]0.33x = 3.167[/tex]
[tex]x = \frac{3.167}{0.33}[/tex]
[tex]x = 9.60[/tex]
Mr. Kirkson uses 9.60 gallons of water per square foot to water his garden each week.
What expression is equivalent to 3y - 21? A. 3(y - 21) , B. 3(3y - 21) , C. 3(3y - 7) , D. 3(y - 7) . Need help quickly! Thanks <3
Barb had $112 in her savings account. Then deposited the same amount of money into her savings account in the next 4 months. Now she has $333 in her savings account. How much money,m, did Barb deposit each month?
WILL GIVE BRAINLESS
factor the polynomial
Answer:
D
Step-by-step explanation:
This is factor by grouping. In factor by grouping, write a quadratic trinomil as 4 terms and group by parenthesis. Then factor by GCF in each pair. If the two parenthesis match, the factoring has worked and the factors will be the GCFs as one and the parenthesis as one other.
The factors here are the GCFs [tex]2x^2[/tex] and -3 as [tex](2x^2-3)[/tex] and the parenthesis (x-5).
The table shows the number of miles driven over time time 4,6,8,10 distance 232, 348, 464, 580
Express the relationship between distance and time and simplified form as a unit rate. Determine which statement correctly interprets this relationship
Final answer:
The relationship between distance and time is that the vehicle travels at a constant speed of 58 miles per hour, meaning for every hour of driving, the distance covered is 58 miles.
Explanation:
To express the relationship between distance and time in simplified form as a unit rate, we divide the distance by the time for every given value. Based on the provided data, for each time interval, the distance driven is 58 times the number of hours.
Therefore, the unit rate or speed is 58 miles per hour. This can be explained by the fact that at each time interval, the distance increases by 116 miles every 2 hours, which simplifies down to 58 miles per hour (58 miles/1 hour).
To interpret this, one could say that for every hour of driving, the vehicle covers a distance of 58 miles. Thus, speed or velocity is the constant rate at which distance is covered over time in this scenario.
a number between
55
and
101
that is a multiple of
,
3
,
10
and
15
.
The diameter of a circle is 8 inches. What is the area?
A. 8pi in ^2
B. 16pi in ^2
C. 32pi in ^2
D. 64pi in ^2
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers?
x | y
12 60
15 75
A. 36 calories
B. 108 calories
C. 720 calories
D. 900 calories
60/12 = 5
75/15 = 5
there are 5 calories per cracker
180 * 5 = 900 calories in 180 crackers
Answer is D
Find two numbers with a sum of 20 and a difference of 14.
alex wants to buy the same number of stamps and envelopes dancer sold in packs of 14 and envelopes are sold and packs of 10 what is the lease number of each he could buy to have the same number of stamps and envelopes
Final answer:
To have the same number of stamps and envelopes, Alex would have to find the Least Common Multiple of 14 and 10, which is 70. Therefore, he should buy 5 packs of each.
Explanation:
Alex wants to buy the same number of stamps and envelopes, but they come in different pack sizes: stamps in packs of 14 and envelopes in packs of 10.
To find the least number of each he could buy to have the same number of each, we need to find the Least Common Multiple (LCM) of 14 and 10. The LCM of 14 and 10 is 70.
So, Alex would need to buy 5 packs of envelopes (since 70 divided by 10 equals 7) and 5 packs of stamps (since 70 divided by 14 equals 5) to have the same number of stamps and envelopes, which is 70 of each.
Which operation is NOT closed for polynomials ?
The operation that is not closed for polynomial is [tex]\boxed{{\text{Dividing binomials}}}.[/tex] Option (B) is correct.
Further explanation:
Given:
The given options are as follows,
(A). Adding binomials
(B). Dividing binomials
(C). Subtracting binomials
(D). Multiplying binomials
Explanation:
Consider the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
Add the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Add}} &= x + 1 + 2x + 4\\&= 3x + 5\\\end{aligned}[/tex]
The result after adding is a polynomial. Therefore, adding binomials is a closed for polynomials.
After dividing the two polynomials [tex]x + 1[/tex] and [tex]2x + 4[/tex] the result is a rational expression.
Therefore, dividing binomials operation is not closed for polynomials.
Subtract the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Subtract}}&= 2x + 4 - \left( {x + 1}\right)\\&=x + 3\\\end{aligned}[/tex]
The result after subtracting is a polynomial. Therefore, subtracting binomials is a closed for polynomials.
Multiplying the two polynomials [tex]x + 1[/tex] and [tex]2x + 4.[/tex]
[tex]\begin{aligned}{\text{Multiplying}}&= \left( {2x + 4} \right)\times \left( {x + 1} \right)\\&= 2{x^2} + 2x + 4x + 4\\&= 2{x^2} + 6x + 4\\\end{aligned}[/tex]
The result after subtracting is a polynomial. Therefore, multiplying binomials is a closed for polynomials.
The operation that is not closed for polynomial is [tex]\boxed{{\text{Dividing binomials}}}.[/tex] Option (B) is correct.
Option (A) is not correct as the adding binomials operation is closed for polynomials.
Option (B) is correct as the dividing binomials operation is not closed for polynomials.
Option (C) is not correct as the adding binomials operation is closed for polynomials.
Option (D) is not correct as the adding binomials operation is closed for polynomials.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Polynomials
Keywords: polynomials, function, dividing, subtracting, adding, multiplying, binomials, closed for binomials.
A salesperson earns 17% commission on her total sales. If she sold $1530 last week, how much did she earn in commission ?
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The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle.
A) 18°, 31°, and 41°
B) 23°, 41°, and 56°
C) 33°, 61°, and 86°
D) 63°, 121°, and 176°
Answer:
THE GOOD DAYS
Step-by-step explanation:
Solve. Evaluate roots and round to the nearest tenth. (Enter your answers as a comma-separated list. Simplify your answers completely.) 9x2 − 18 = 0
Jenny read 3 books in 7.5 hours. At this rate, how many books can Jenny read in one hour?
A cruise ship is traveling at a speed of 20 knots . A knot is approximately equal to 1.151 miles per hour. What is the approximate speed the ship is traveling in yards per second ? Round to the nearest tenth.
The cruise ship's speed, starting at 20 knots, can be translated to approximately 11.2 yards per second when converted to miles per hour, yards, and seconds.
Explanation:To find the cruise ship's speed in yards per second, we first need to convert knots to miles per hour by utilizing the equivalence of 1 knot to 1.151 miles per hour. Therefore, the ship is traveling approximately 20 * 1.151 = 23.02 miles per hour.
Next, we need to convert the ship's speed from miles per hour to yards per second. There are 1760 yards in a mile and 3600 seconds in an hour. The conversion will be 23.02 miles/hr * 1760 yards/mile divided by 3600 seconds/hr, which results in an approximate speed of 11.2 yards per second when rounded to the nearest tenth.
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