Raina received 19 phone calls on the third evening, 26 phone calls on the first evening, and 38 phone calls on the second evening.
Explanation:Let's consider the number of phone calls Raina received each evening.
Let x represent the number of phone calls on the third evening.
The first evening, Raina received 7 more calls than the third evening, so the number of phone calls on the first evening is x + 7.
The second evening, Raina received 2 times as many calls as the third evening, so the number of phone calls on the second evening is 2x.
Given that Raina received a total of 83 phone calls over the three evenings, we can set up the equation:
x + (x + 7) + 2x = 83
Combining like terms, we have:
4x + 7 = 83
Subtracting 7 from both sides, we get:
4x = 76
Dividing both sides by 4, we find that x = 19.
Therefore, Raina received 19 phone calls on the third evening, 26 phone calls on the first evening, and 38 phone calls on the second evening.
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write an equivalent expression for 3 (1-7)
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
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.
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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When simplified, what is the value of square root of negative 45 end square root,if i2 = −1?
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 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%.
a number between
55
and
101
that is a multiple of
,
3
,
10
and
15
.
About 22/40 of a lawn is planted with Kentucky bluegrass. What percent of the lawn is planted with Kentucky bluegrass
Jenny read 3 books in 7.5 hours. At this rate, how many books can Jenny read 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.
13+8 POINTS!!!! PLEASE HELP ME PLEASE!!!!! DUE TODAY PLEASE HELP!!!
Complete the coordinate proof of the theorem.
Enter your answers in the boxes.
The coordinates of parallelogram ABCD are A(0, 0) , B(a, 0) , C(??), and D(c, b) .
The coordinates of the midpoint of AC¯¯¯¯¯ are (, b2 ).
The coordinates of the midpoint of BD¯¯¯¯¯ are ( a+c2 , ).
The midpoints of the diagonals have the same coordinates.
Therefore, AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Answer:
Step-by-step explanation:
1). Coordinates of point C will be
x - coordinates = [Distance of B from the origin + Distance of D from y axis]
= (a + c)
y - coordinates = (Distance of D from x - axis)
= b
Therefore, coordinates of C will be [(a + c), b]
2). Coordinates of the midpoint of AC = [tex][\frac{(a+c)+0}{2}, \frac{b+0}{2}][/tex]
= [tex][\frac{(a+c)}{2}, \frac{b}{2}][/tex]
[Since coordinates of the midpoint of (x, y) and (x', y') are denoted by ([tex]\frac{x+x'}{2},\frac{y+y'}{2}[/tex])]
3). Coordinates of the midpoint of BD = [tex][\frac{(a+c)}{2}, \frac{b+0}{2}][/tex]
= [tex][\frac{(a+c)}{2}, \frac{b}{2}][/tex]
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 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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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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skylar paid $18 to park at the airport. she bought 4 plane tickets for her family.each plane ticket cost the same. altogether she paid $610 for the plane tickets and parking
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.
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.
Solve the equation what is 2y-3y=5
What does h(40) = 1400 mean in terms of the problem
Answer:
The correct option is B.
Step-by-step explanation:
From the given table it is clear that left column represents the hours of training and the right column represents the Monthly pay.
Here, left column is input (x) and right column is output (y). It means a worker with x hours of training is paid $y per month.
[tex]h(40)=1400[/tex]
In this equation the value of y is 1400 at x=40.
A worker with 40 hours of training is paid $1400 per month.
Therefore, correct option is B.
(5y - 1) + (-2y + 4)
5y-1 + -2y+4
combine like terms
5y-2y = 3y
-1+4=3
so you have 3y+3
A salesperson earns 17% commission on her total sales. If she sold $1530 last week, how much did she earn in commission ?
Martha placed $2,500 in a college savings account with a simple interest rate of 5% when when Ryan was born. How much will be in the account in 18 years when her son is ready to go to college?
Solve. Evaluate roots and round to the nearest tenth. (Enter your answers as a comma-separated list. Simplify your answers completely.) 9x2 − 18 = 0
Find two numbers with a sum of 20 and a difference of 14.
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?
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?
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.
A hospital discards 1000 patient gowns every 3 months how many gallons will they need to replace the discarded ones over the next year
60 minutes is 20% of blank kilometers