Answer:we multiply by the reciprocal of a fraction when completing a division problem because it is a rule in mathematics that when you divide two fraction, you change the division sign to multiplication and flip the fraction at the right of the multiplication sign.
Step-by-step explanation:
For example if you have 4÷ 1/2. It basically means how many 1/2 can one get in 4. And the answers is 8.
Therefore multiplying by the reciprocal of a fraction when completing a division problem is a short cut method that has been tested and proven to be correct.
How do you write the subtraction problem -8-5 as an addition problem?
Answer - 8+(-5)= -13
Step-by-step explanation:
Which property is illustrated by the statement?
(2 + 3.4) + 6 = 2 + (3.4 + 6) (1 point)
Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
To which subset of real numbers does the number one-third belong? (1 point)
rational numbers
irrational numbers
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers
What is the algebraic expression for the following word phrase: the product of 2 more than y and 7? (1 point)
7(y+2)
2(y+7)
7+(y+2)
7-(y+2)
Answer:
1. First option.
2. First option.
3. First option.
Step-by-step explanation:
1. You need to remember that the Associative Property of Addition states the following:
[tex](a+b)+c=a+(b+c)[/tex]
Notice that you can group the numbers "a", "b" and "c" in any combination.
In this case, given the statement provided in the exercise:
[tex](2 + 3.4) + 6 = 2 + (3.4 + 6)[/tex]
You can identify that it ilustrates the Associative Property of Addition.
2. Remember that:
- Natural numbers are known as "Counting numbers".
- Whole numbers include positive numbers and zero.
- Integers include the Whole numbers and the negative numbers.
- Rational numbers are those numbers that can be wriitten as a fraction:
[tex]\frac{a}{b}[/tex]
Where "a" is the numerator and "b" is the denominator.
- Integers are a subset of Rational Numbers.
- Irrational numbers cannot be written as a fraction.
Based on this, you can conclude that [tex]\frac{1}{3}[/tex] is a Rational number.
3. The product is the result of a multiplication.
In this case the word "more than" indicates Addition.
Then, the product of 2 more than "y" and 7 can be expressed as:
[tex]7(y+2)[/tex]
help.....meh...please.
Answer:
.875 = 875/1,000 = 7/8
The correct answer is D.
87th term of 12,0,-12
Answer:
[tex]a_{87} = -1020[/tex]
Step-by-step explanation:
Given:
The given AP is.
12,0,-12,......
[tex]n=87[/tex]
The first term of an AP [tex]a=12[/tex]
Common difference [tex]d=0-12=-12[/tex]
We use the the formula for nth term of an AP.
[tex]a_{n} = a+(n-1)d[/tex]
for 87th term
[tex]a_{87} = 12+(87-1)(-12)[/tex]
[tex]a_{87} = 12+(86)(-12)[/tex]
[tex]a_{87} = 12+(-1032)[/tex]
[tex]a_{87} = 12-1032[/tex]
[tex]a_{87} = -1020[/tex]
Therefore, The 87th term of given series is -1020.
plz answer which is it from the 4 choices
Answer:
Option 3
Step-by-step explanation:
we know that
The solution show in the graph represent the interval [4,∞)
All real numbers greater than or equal to 4
In a number line the solution is the shaded area at right of x=4 (closed circle)
The number 4 is included in the solution set
therefore
Option 3
A square has an area of 44.89in^2. How do you get the length of the diagonal of the square?
Answer:
[tex]6.7\sqrt{2}\ in[/tex]
Step-by-step explanation:
Let x inches be the length of the side of the square. The area of the square is
[tex]x\cdot x=x^2\ in^2[/tex]
Then
[tex]x^2=44.89\\ \\x=6.7\ in[/tex]
By the Pythagorean theorem,
[tex]d^2=6.7^2+6.7^2\\ \\d^2=44.89+44.89\\ \\d^2=89.78\\ \\d=\sqrt{89.78}=6.7\sqrt{2}\ in[/tex]
Find the length of a side by taking the square root of the area:
Side = sqrt44.89 = 6.7 inches.
Now to find the length of the diagonal multiply the side length by the sqrt of2:
Diagonal = 6.7Sqrt(2) ( exact length)
As a decimal= 9.4752
Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours she can work
Answer:
20 hours
Because 143.50/7= 20.5
Meaning the most she can work is 20 hours a week
S4) The data can be modeled by the regression line y = 1.2x + 3.5. What is the residual at
=5?
The residual is 1.5
Step-by-step explanation:
Given the regression line equation as : y=1.2x +3.5
The formula for residual = Observed y-value - Predicted y-value
This gives the vertical distance from the actual plotted point to the point on the regression line. You should find how far the data fall from the regression line.
In this case, at y=5, from the graph, to get the vertical distance, perform subtraction as;
5.0 - 3.5 = 1.5
Learn More
Regression line: https://brainly.com/question/2235989
Keywords : residual, regression line, modeled, data
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I'm having trouble with these problems. and my paper is due tomorrow. please help
Answer:
Step-by-step explanation:
The perimeter of a square depends on the length of its sides. Answer the questions below regarding the relationship between the perimeter of the square and the length of one side of the square.
The perimeter of a square is calculated by multiplying the length of one side by 4.
The perimeter of a square is the sum of all four sides. Since a square has equal sides, you can find the perimeter by multiplying the length of one side by 4. The formula for the perimeter of a square is P=4s, where P is the perimeter and s is the length of one side.
For example, if the length of one side is 5 units, the perimeter would be 4 * 5 = 20 units. If the length of one side is 8 centimeters, the perimeter would be 4 * 8 = 32 centimeters.
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- Make Sense and Persevere If x represents the number
of months since the beginning of 2016, and y represents
the total precipitation to date, predict the amount of
precipitation received between the end of March and
the end of June. MP.1
Pred
Total Precipitation
(in.)
0 2 4
Months Si
Answer:
5,46 inches per months
Step-by-step explanation:
1 year = 12 months
The average precipitation per month is :
65,52 inches ÷ 12 = 5,46 inches per months
HOPE THIS HELPED ;3
The predicted amount of precipitation received between the end of March and the end of June is 0 inches.
Explanation:To predict the amount of precipitation received between the end of March and the end of June, we need to find the difference in total precipitation between those two months. According to the given information, the total precipitation in inches for each month is as follows:
March: 4 inches
April: 2 inches
May: 0 inches
June: 4 inches
To find the amount of precipitation received between the end of March and the end of June, we can subtract the total precipitation at the end of March from the total precipitation at the end of June:
Total precipitation at the end of June - Total precipitation at the end of March = 4 inches - 4 inches = 0 inches
Therefore, the predicted amount of precipitation received between the end of March and the end of June is 0 inches.
Can someone help me with this T-T
Answer:
17 79 017.3.727m92Step-by-step explanation:
My frist store wen you I was a little kid and the most main street from this is
Answer:
Answers are in picture, if you want an explanation for anything, just ask.
Step-by-step explanation:
Sean read
1
-
5
of a book in
1
1
-
2
hours.
How long will it take Sean to read
1
-
2
of this book?
Enter your answer as a mixed number in simplest form in the box.
Answer:
[tex]3\frac{3}{4}[/tex] hours.
Step-by-step explanation:
Sean read [tex]\frac{1}{5}[/tex] of a book in [tex]1\frac{1}{2}[/tex] hours.
We are asked to determine the time that Sean requires to read [tex]\frac{1}{2}[/tex] of this book.
If the rate of reading the book is assumed to be constant, then we can use the unitary method to find the answer.
Now, Sean reads [tex]\frac{1}{5}[/tex] of a book in [tex]\frac{3}{2}[/tex] hours.
So, Sean reads the total of the book in [tex]\frac{3}{2} \div \frac{1}{5} = \frac{15}{2}[/tex] hours.
Hence, Sean reads [tex]\frac{1}{2}[/tex] of this book in [tex]\frac{15}{2} \times \frac{1}{2} = \frac{15}{4} = 3\frac{3}{4}[/tex] hours. (Answer)
Alia works for 18.3 hours and earns $585.60. What does Alia earn per hour?
To calculate Alia's hourly wage, you divide the total amount she earned ($585.60) by the total number of hours she worked (18.3 hours), which results in approximately $32 per hour. This question is related to the subject of Mathematics, specifically rates and ratios.
Explanation:The subject of this question is Mathematics, specifically the sub-topic of rates and ratios, which includes calculating earnings per hour.
To calculate Alia's earnings per hour, we need to divide her total earnings by the number of hours she worked. Here's a step-by-step explanation:
First, identify the total amount earned and the total hours worked. In this case, Alia earned $585.60 in 18.3 hours.Next, divide the total earnings by the total number of hours worked. So we do $585.60 divided by 18.3 hours.The result will give you the hourly wage. After performing the division, we find that Alia earns approximately $32 per hour.Learn more about Hourly Wage here:https://brainly.com/question/1582269
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25. Paulo's family arrived at the reunion at
8:30 A.M. How long do they have before
the trip to Scenic Lake Park?
DATA
Trip to Scenic
Lake Park
10:15 A.M. to 2:30 P.M.
Slide show
4:15 P.m. to 5:10 P.M.campfire 7;55p.m.to 9;30p.m
26. How much longer is dinner than the
Paulo's family has 1 hour 45 minutes before the trip to Scenic Lake Park.
To find out how long Paulo's family has before the trip to Scenic Lake Park, we will determine the amount of time between their arrival and the start of the trip.
Paulo's family arrived at the reunion at 8:30 A.M. The trip to Scenic Lake Park starts at 10:15 A.M.
Here's how to calculate the difference between these two times manually:
1. Convert both times to a 24-hour format (if needed):
- Paulo's family arrival time: 8:30 A.M. is already in the morning, so it stays the same.
- Trip start time: 10:15 A.M. is also in the morning, so it stays the same.
2. Calculate the hours remaining:
- From 8 A.M. to 9 A.M. is 1 hour.
- From 9 A.M. to 10 A.M. is another hour.
- From 8:30 A.M. to 10 A.M., they have a total of 1 hour and 30 minutes.
3. Calculate the additional minutes remaining:
- From 10:00 A.M. to 10:15 A.M. is an additional 15 minutes.
4. Add the additional minutes to the total time calculated:
- They already have 1 hour and 30 minutes, and we add another 15 minutes to this.
- So, the total time they have before the trip is 1 hour and 45 minutes.
Therefore, Paulo's family has 1 hour and 45 minutes of free time before the trip to Scenic Lake Park starts.
How do you find a variable to 4-2(v+9)=26
Answer:
V=20
Step-by-step explanation:
Simplify both sides of the equation.
4−2(v+9)=26
4+(−2)(v)+(−2)(9)=26(Distribute)
4+−2v+−18=26
(−2v)+(4+−18)=26(Combine Like Terms)
−2v+−14=26
−2v−14=26
Step 2: Add 14 to both sides.
−2v−14+14=26+14
−2v=40
Step 3: Divide both sides by -2.
−2v
−2
=
40
−2
v=−20
the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base
Answer:
The Area of the base is 16 cm² .
Step-by-step explanation:
Given as :
The surface area of the cuboid = x = 95 cm²
The lateral surface area of the cuboid = y = 63 cm²
Let The Area of the base = z cm²
Now, Let The length of cuboid = l cm
The breadth of cuboid = b cm
The height of cuboid = h cm
According to question
∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)
Or, x = 2 ×(l × b + b × h + h × l)
Or, 95 = 2 ×(l × b + b × h + h × l)
Or, (l × b + b × h + h × l) = [tex]\dfrac{95}{2}[/tex] ....1
Similarly
∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)
Or, y = 2 ×(b × h + l × h)
Or, 2 ×(b × h + l × h) = 63
Or, (b × h + l × h) = [tex]\dfrac{63}{2}[/tex] ......2
Putting value of eq 2 into eq 1
so, (l × b + [tex]\dfrac{63}{2}[/tex] ) = [tex]\dfrac{95}{2}[/tex]
Or, l × b = [tex]\dfrac{95}{2}[/tex] - [tex]\dfrac{63}{2}[/tex]
Or, l × b = [tex]\dfrac{95 - 63}{2}[/tex]
i.e l × b = [tex]\dfrac{32}{2}[/tex]
so, l × b = 16
Now, Again
∵The Area of the base = ( length × breadth ) cm²
So, z = l × b
i.e z = 16 cm²
So, The Area of the base = z = 16 cm²
Hence,The Area of the base is 16 cm² . Answer
16x^4 - 144x^2
How to factorise this question and which identity should we use
The factored form of given expression is:
[tex]16x^2(x-3)(x+3)[/tex]
Step-by-step explanation:
The identity that can be used to factorize the given expression is:
[tex]a^2-b^2 = (a+b)(a-b)[/tex]
Given
[tex]16x^4-144x^2[/tex]
As 16 is a factor of both terms
[tex]=16x^2(x^2-9)[/tex]
Using the identity
[tex]=16x^2[(x)^2-(3)^2]\\=16x^2[(x-3)(x+3)][/tex]
Hence,
The factored form of given expression is:
[tex]16x^2(x-3)(x+3)[/tex]
Keywords: Factorization, polynomials
Learn more about polynomials at:
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in the following figure DE||BC AD=4cm DB=6cm AE=5cm then the value of EC is
Answer:
[tex]ec = \frac{6 \times 5}{4} = 7.5 [/tex]
4^-3 × 4^2 × 4^5 = 4^?
The value of the missing exponent is 4^10?
True or false
Answer:
[tex] {4}^{ - 3} \times {4}^{2} \times {4}^{5} = {4}^{ - 3 +2 + 5} = {4}^{4} [/tex]
False. The missing exponent is 4.
how many cubic centimeters of water can this paper cone cup hold?
Answer:
150.72 cubic centimeter
Step-by-step explanation:
Given:-
Height of cone (h) = 9cm
Diameter of cone(d)=8cm
radius of cone(r)=[tex]\frac{d}{2}[/tex]=[tex]\frac{8}{2} =4cm[/tex]
To calculate= Volume of cone([tex]V_{cone}[/tex])
[tex]Volume\ of\ cone(V_{cone}) =\frac{1}{3} \times \pi \times r^{2} \times h[/tex]
[tex]=\frac{1}{3} \times 3.14\times 4^{2} \times 9[/tex]
Volume of cone([tex]V_{cone}[/tex]) [tex]=150.72\ cubic\ centimeter[/tex]
Therefore paper cone cup can hold 150.72 cubic centimeter of water.
The paper cone cup can indeed hold 150.72 cubic centimeters of water.
The paper cone cup can indeed hold 150.72 cubic centimeters of water. Let's break down the calculation:
1. Given dimensions:
- Height of the cone (h) = 9 cm
- Diameter of the cone (d) = 8 cm (which implies a radius (r) of 4 cm)
2. To calculate the volume of the cone, we'll use the formula:
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \][/tex]
3. Plugging in the values:
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \cdot 4^2 \cdot 9 \][/tex]
4. Calculating:
[tex]\[ V_{\text{cone}} = \frac{1}{3} \cdot 3.14 \cdot 16 \cdot 9 = 150.72 \, \text{cubic centimeters} \][/tex]
Therefore, the paper cone cup can indeed hold 150.72 cubic centimeters of water.
-5(-5w+3v-2) how do I use distributive property to remove the parentheses
Answer:you would times everything on the inside by 5 im pretty sure
Step-by-step explanation:
You order a pizza for dinner
The radius of the pizza is 7 inches
What is the diameter of the pizza? What is the circumference of the pizza? What is the area of the pizza?
Final answer:
The diameter of the pizza is 14 inches, its circumference is approximately 43.98 inches, and its area is about 153.94 square inches, calculated using fundamental geometry formulas for circles.
Explanation:
A pizza with a radius of 7 inches is given, and we are tasked with determining its diameter, circumference, and area. These are fundamental geometry calculations related to circles.
The diameter of a circle is twice its radius. So, the diameter of the pizza is 2 × 7 inches = 14 inches.
The circumference of a circle is calculated as π (Pi) times its diameter.
Therefore, the circumference of the pizza is π × 14 inches ≈ 43.98 inches (using π = 3.1416).
The area of a circle is given by π times the square of its radius (πr²).
Hence, the area of the pizza is π × 7² inches² ≈ 153.94 square inches.
These calculations provide a complete geometric understanding of the pizza's properties in terms of diameter, circumference, and area.
10)_
If you multiply six positive numbers, the product's sign will be . If you mump
negative numbers, the product's sign will be
a) Positive; Negative
b) Negative; Negative
c) Positive; Positive
d) Negative; Positive
on will be. If you multiply six
Answer:
Step-by-step explanation:
Explanation:
The product of two positive numbers is always positive.
So product of All positive numbers will be always positive.
For Example
( + ) × ( + ) = ( + )
The product of two negative number is always positive.
So product of even negative numbers will be always positive
For example
( - ) × ( - ) = ( + )
Also product of negative and positive is also given as a negative
( - ) × ( + ) = ( - )
and
( + ) × ( - ) = ( - )
Let the Six Positive numbers be
a, b ,c , d, e, f
So the Product of Six Positive numbers will be
[tex](+a)\times (+b)\times (+c)\times (+d)\times (+e)\times (+f)=\textrm{Positive Number}[/tex]
Let the Six Negative numbers be
-a, -b ,-c , -d, -e, -f
So the Product of Six Negative numbers will be
[tex](-a)\times (-b)\times (-c)\times (-d)\times (-e)\times (-f)=\textrm{Positive Number}[/tex]
Therefore the Product's Sign will be
a) Positive ; Positive
Answer:
c) Positive; Positive
Step-by-step explanation:
As we know it is a basic rule in mathematics, that if positive is multiplied by positive it gives a positive result always. So hence, from this rule it is proved that if we multiply 6 positive numbers, we will be getting the product which will be having positive sign. And in the second part of the questions, answer is that if we multiply 6 negative numbers then the sign remains positive as we know it is also a basic rule in mathematics that when 2 negative numbers are multiplied by each and other then it will give a positive product. So the answer will remain 'c) Positive; Positive''
what is the answer for 100- the sum of 3+x
Answer:
97-x
Step-by-step explanation:
100-(3+x)
= 100-3-x (- sign is multiplied with the both 3 and x)
= 97-x
Answer:
Step-by-step explanation:
x + 3 = 100
x = 100 - 3
x = 97
A video game decreased in price from $50 to $45. What was the approximate percent decrease in the price? 0.1% 1% 5% 10%
Answer: 10%
50 is half of 100, so if it decreases 5 dollars from 50, then it has to be 10% of a decrease, or discount.
Hope this helps!
Answer:
10%
Step-by-step explanation:
50-45=5
5/50=1/10=10%
A student plots a system of equations on graph paper.
Answer:
AStep-by-step explanation:
Cami has correctly answered 70% of the first 20 questions on her final exam. At least how many of the remaining 12 questions must she get correct to get a final score that's greater than 80%?
Answer:
12
Step-by-step explanation:
Final answer:
Cami must answer all 12 of the remaining questions correctly to achieve a final score greater than 80% on her exam, having already secured 70% correct from the first 20 questions.
Explanation:
Cami has answered 70% of the first 20 questions correctly, which means she has 14 correct answers. As the final exam has 32 questions in total (20 + 12), to achieve a final score greater than 80%, she needs to get more than 80% of 32 total questions correct, which is more than 25.6 correct answers. Since she cannot get a fraction of a question correct, she needs at least 26 correct answers in total. Given she has already 14 correct, she needs at least 12 more correct answers out of the remaining 12 questions to achieve this score.
Which has a positive value in Quadrant III?
A) Cosine only
B) Sine only
C) Tangent only
D) Cosine, Sine, and Tangent
Answer: THE ANSWER IS B (Sine ONLY)
Step-by-step explanation:i just did it on USAtestprep
A gas is contained in a 3.0L container at a temperature of 25°C. The gas exerts a pressure of 16 atm on the
container. If pressure is kept constant, what is the final volume of the gas if the temperature of the container is
increased to 200°C? (HS+C.P1013)
A. 5.6L
B.
4.8L
C. 1.9L
D.
24 L
Answer:
4.8 Liters.
Step-by-step explanation:
When pressure is kept constant the volume of a certain quantity of gas is proportional to the absolute temperature of the gas.
So, [tex]\frac{V_{f} }{T_{f}} = \frac{V_{i} }{T_{i}}[/tex] .......... (1)
Where, f denotes the final and i denotes the initial values.
Now, [tex]V_{i} = 3[/tex] Liters,
[tex]T_{i} = 25 + 273 = 298 K[/tex] and
[tex]T_{f} = 200 + 273 = 473 K[/tex]
Therefore, from equation (1) we get,
[tex]V_{f} = \frac{3 \times 473}{298} = 4.76[/tex] Liters ≈ 4.8 Liters. (Answer)