The percent of the population sleeps more than the recommended number of hours will be 30%.
How to illustrate the information?From the information, it should be noted that the difference between the percent of adults who slept more than the recommended amount of time and the percent who slept less than the recommended amount of time is 3%.
It should be noted that this was 25% of the population.
Therefore, the percent of the population sleeps more than the recommended number of hours will be:
= 27% + 3%
= 30%
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Mrs. Meester is purchasing supplies for her art class. Every scholar needs a set containing the following utensils: ● 64 crayons ● 25 markers ● 36 color pencils ● 10 sketch pencils There are 29 scholars in Mrs. Meester’s art class. How many total utensils will Mrs. Meester buy? Use standard algorithms as a 2nd strategy!!
total utensils = 3915
it is given that Mrs. Meester is purchasing supplies for her art class.
The arts are a very wide range of human practices of creative expression, storytelling and cultural participation. They encompass multiple diverse and plural modes of thinking, doing and being, in an extremely broad range of media. Both highly dynamic and a characteristically constant feature of human life, they have developed into innovative, stylized and sometimes intricate forms. This is often achieved through sustained and deliberate study, training and/or theorizing within a particular tradition, across generations and even between civilizations. The arts are a vehicle through which human beings cultivate distinct social, cultural and individual identities, while transmitting values, impressions, judgments, ideas, visions, spiritual meanings, patterns of life and experiences across time and space.
Mrs. Meester purchase some utensils for their scholars.
number of different types of utensils for each scholar are:-
Crayons-64Markers-25Color Pencils-36Sketch pencils-10total number of utensils for 1 scholar= 64+25+36+10
= 135
64
25
36
+ 10
135
total number of utensils for 29 scholars=135*29
=3915
hence, number of utensils Mrs. Meester buy= 3915
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Tristian says that 9.32 is a rational number Barry says that 9.32 is a terminating decimal who is correct
Tristian and Barry both are correct as 9,32 is a rational and terminating decimal.
A rational number is one that can be written as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
A terminating decimal is a decimal number with a finite number of digits after the decimal point. The repeating decimal 5.6500000000... can be used to represent a terminating decimal like 5.65, however, when it is zero, the value is typically referred to as terminating.
A decimal number having a limited number of digits following the decimal point is referred to as a terminating decimal. Therefore, all decimal numbers that terminate are rational numbers.
Hence both are correct.
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Factor each expression. 2 x²+x-28
Using factorization, the factors of 2 x²+x-28 are x = - 4 and x = 7/2
What is factorization method?The factorization approach simplifies any algebraic or quadratic equation by using the fundamental factorization formula, which represents the equations as the product of factors rather than extending the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a component.
Given equation is -
2 x²+x-28
we will use the method of factorization.
⇒ 2x² + 8x -7x -28
⇒ 2x(x+4) - 7(x+4)
⇒ (x+4) (2x - 7)
⇒ x = -4 and x = 7/2
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Solve using the Quadratic Formula. x²-9 x+15=0
The answer to the question is 9±√21/2
By using the quadratic formula x=-b±√b²-4ac/2a
By comparing x²-9 x+15=0 with ax²+bx+c
we get a=1 b=-9 c=15
x=-(-9)±√(-9)²-4×1×15/2×1
x=9±√81-60/2
x=9±√21/2
So the answer to the question is x=9+√21/2
and x=9-√21/2
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Find all zeros of the function: s(x) = x^2 - 7x - 60.
The zeros are x =
Lisa gathered and shelled 12 lbs of pecans from her backyard. She is going to make 3/4 * Ib bags of pecans for gifts. How many 3/4 bags of pecans can Lisa make ?
A - 15
B - 16
C - 11 1/4
D - 9
The total number of 3/4 bags of pecans that Lisa can make will be B. 16.
How to calculate the valueFrom the information, Lisa gathered and shelled 12 lbs of pecans from her backyard and she is going to make 3/4 Ib bags of pecans for gifts.
Therefore, the total number of 3/4 bags of pecans that Lisa can make will be:
= 12 ÷ 3/4
= 12 × 4/3
= 16
She can make 16 bags.
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A number cube is rolled twice. Find the probability of rolling a 2 and then rolling a 3. Write your answer as a fraction in simplest form.
Answer:
1/36
Step-by-step explanation:
To find the probability of rolling a 2 AND a 3, you must multiply the probabilities of each individual outcome.
The probability of rolling a 2 on a 6 sided cube is 1/6.
The probability of rolling a 3 on a 6 sided cube is also 1/6.
So, to get the probability of both of those things happening:
(1/6) x (1/6) = 1/36
Grant can buy 6-packs of table-tennis balls for $2.10 or 9-packs of table-tennis balls. for $2.88. Grant wants to buy 18 table- tennis balls. How much more will he spend if he buys only 6-packs of table-tennis balls? Show work
Two angles form a linear pair. The measure of one angle is 3.5 times the measure of the other angle. Find the measure of each angle.
The angles which form a linear pair are 40° and 140°.
Linear pair is defined as the pair of angles which add up to 180 degrees.
When two straight lines intersect with one another then 4 angles are formed. Any two adjacent angles thus formed are a linear pair.
Let us consider one angle be x . Now another angle is 3.5 times this angle.
Therefore measure of second angle = 3.5x
Now if these two angles are a linear pair then their sum will be equal to 180°.
Therefore we can form a linear equation in x and solve to get the values of the angles.
∴3.5x + x = 180°
or, 4.5x = 180°
or, x = 180 ÷ 4.5
or, x = 40°
Measure of the second angle = 3.5 × 40° = 140°
Hence the two angles which form a linear pair are 40° and 140° .
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what is the answer i need the answer please
Answer:
± 40
Step-by-step explanation:
± [tex]\sqrt{1600}[/tex]
= ± [tex]\sqrt{16(100)}[/tex]
= ± ( [tex]\sqrt{16}[/tex] × [tex]\sqrt{100}[/tex] )
= ± (4 × 10)
= ± 40
2 1/5 divided by 3/5
if you make 2 1/5 a improper fraction it would be 6/5
6/5÷3/5 is easy because 6÷3=2
the answer is 2.
Answer:
3 2/3
Step-by-step explanation:
2 1/5 ÷ 3/5
Convert 2 1/5 to an improper fraction
2 1/5 -- > 5 × 2 + 1 = 11/5
= 11/5 ÷ 3/5
Change the operator to multiplication
= 11/5 × 5/3
Cross multiply
= 11/3
Convert improper fraction to a mixed number
= 3 2/3
Find the lowest common denominator for 5. 11 and 10
please help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: where's the question?
Step-by-step explanation:
Answer:
your question please
Step-by-step explanation:
Rotational symmetry? O Yes O No
Angle?
Point symmetry? Yes O No
Rotational symmetry? Yes O No
Angle?
Point symmetry? O Yes O No
O
The characteristics of the parallelogram and star gives;
Parallelogram;
Rotational symmetry: Yes
Point symmetry: Yes
Star:
Rotational symmetry: Yes
Point symmetry: Yes
How can the type of symmetry be found?Rotational symmetry is one in which a shape assumes its original appearance after a rotation.
Point symmetry are the property of two points that are equidistant from and on opposite sides of the coordinate axis
The parallelogram has rotational symmetry of 180°
The parallelogram has point symmetry
Therefore;
Parallelogram:
Rotational symmetry; Yes
Point symmetry; Yes
The star has rotational symmetry of 360°/5 = 60°
Given that points on the star when rotated about its center can be made to match up with opposite side, it is said to have point symmetry.
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Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
my chart:
#1 $36.87
#2 $29.37
#3 $26.27
#4 $35.27
The required solution of each person's contributions showing all steps in long division is 3687/100, 2937/100, 2627/100 and 3527/100.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given expression is
#1 $36.87
#2 $29.37
#3 $26.27
#4 $35.27
According to given question we have
By the long division method we get
1. $36.87 =36+0.87
$36.87 = 36+87/100
GCD( 87,100)=1
$36.87 = 36+87/100=36+1
$36.87 = 36+87/100
$36.87=3687/100
2. $29.37 =29+0.37=29+37/100
GCD( 37,100)=1
$29.37 =29+37/100
$29.37 =2937/100
3. $26.27 =26+0.27 =26+27/100
GCD( 27,100)=1
$26.27 =26+27/100
$26.27 =2627/100
4. $35.27 =35+0.27=35+27/100
GCD( 27,100)=1
$35.27 =35+27/100
$35.27 =3527/100
Therefore, the required solution of each person's contributions showing all steps in long division is 3687/100, 2937/100, 2627/100 and 3527/100.
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Find the quotient of 30 x 10^-24 / 5 x 10^-24. Write the final answer in scientific notation.
6 x 10^48
6 x 10^24
6 x 10^0
6 x 10^−48
The quotient of 30 × 10⁻²⁴/5 × 10⁻²⁴ in scientific notation is equal to: C. 6 x 10^0.
What is quotient?Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.
What are the laws of indices?In Mathematics, laws of indices can be defined as the standard principles and rules that are used for simplifying a mathematical equation or expression that involves powers of the same base.
By applying the laws of indices, the quotient is given by:
Quotient = 30 × 10⁻²⁴/5 × 10⁻²⁴
Quotient = 30/5 × 10⁽⁻²⁴ ⁺ ²⁴)
Quotient = 6 × 10⁰
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What is the equation of the line graphed below?
A. y=-2x
B. y = 2x
C. y=-1/2x
D. y=1/2x
Zen design a character for a video game he just three sizes of the character on grid paper then uses the expression 6+ X to the power of two to find the number of grid squares in a character of any size S find the number of grade squares in a character of size 7 show your work
If Zen design a character for a video game he just three sizes of the character on grid paper then uses the expression 6+ X to the power of two. the number of grid squares in a character of size 7 is 55.
Number of grid squareGiven:
Expression=6+x²
Now using the expression to determine the number of grid square in a character of size 7.
Expression=6+x²
Where:
x=7
Hence,
6+7²
=6+49
x=55
Therefore If Zen design a character for a video game he just three sizes of the character on grid paper then uses the expression 6+ X to the power of two. the number of grid squares in a character of size 7 is 55.
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Greg is purchasing ink cartridges for his computer. Each ink cartridge costs $35.99 and comes with a $10 rebate. How much will Greg pay for one ink cartridge after the rebate?
*Rebate is a refund of part of the amount paid for an item
Greg will pay $25.99 for one ink cartridge after the rebate.
As stated in the question, rebate is the refund that customer receives. It is part of the amount paid. So, it can be easily deducted from the total amount. To find the payment amount, we will simply subtract rebate amount from ink cartridge cost.
Keep the values in mentioned relation to find the payment amount to be given by Greg for one ink cartridge.
Payment = 35.99 - 10
Performing subtraction to find the payment amount to be given by Greg
Payment = 25.99
Hence, the payment of $25.99 will be done by Greg for one ink cartridge after the rebate.
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Match each addition expression on the left with an equivalent expression on the right. 4(8 + 3) 10 + 14 25 + 10 32 + 12 6+9 Intro K 8 of 12 3(2 + 3) 5(5 + 2) 2(5 + 7) Do
The match is
10 + 14 -------> 2(5 +7)25 + 10 --------> 5(5 +2)32 + 12 --------->4(8 + 3)6 + 9-----------> 3(2 +3)What is number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
Given:
10 + 14
=2(5 +7)
25 + 10
=5(5 +2)
32 + 12
=4(8 + 3)
6+9
=3(2 +3)
So, the matching is
10 + 14 -------> 2(5 +7)
25 + 10 --------> 5(5 +2)
32 + 12 --------->4(8 + 3)
6 + 9-----------> 3(2 +3)
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what is 15 equal pieces shaded 2/3
Answer: Shade 10 of the pieces.
Step-by-step explanation: To figure this out, divide 15 by 3(5) and then multiple 5 by two and you will get 10!
Answer: You need to shade 10 of the pieces.
Take 15/3 and get 5
Then take 5 * 2 and get 10
Step-by-step explanation:
What is each product or quotient in simplest form?
a. √3 (⁴√3)
Converting the radicals into exponent numbers, √3 (⁴√3) = ⁴√27
To work with radical numbers or roots, it is easier to express them in exponent:
[tex]\sqrt[n]{a^{b}}=a^{\frac{b}{n}[/tex]
Recall the rules of exponent operations:
Product. [tex]a^{b}.a^{c}=a^{b+c}[/tex]Quotient. [tex]a^{b}:a^{c}=a^{b-c}[/tex]Power. [tex](a^{b})^{c}=a^{b.c}[/tex]Power of a product. [tex](a.b)^{c}=a^{c}.b^{c}[/tex]Zero power. a⁰ = 1Negative exponent. [tex]a^{-b}=\frac{1}{a^{b}}[/tex]Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.
Example:
[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]
Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.
Example:
8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2
The given problem:
Simplify √3 (⁴√3)
[tex]\sqrt{3}=3^{1/2}[/tex]
[tex]\sqrt[4]{3} =3^{1/4}[/tex]
Hence,
[tex]\sqrt{3}.\sqrt[4]{3} =3^{1/2}.3^{1/4}\\ =3^{1/2+1/4}=3^{3/4}\\ =\sqrt[4]{3^{3}}= \sqrt[4]{27}[/tex]
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driving at a speed of 75 mph, a mini cooper's fuel
efficiency is 29 miles per gallon. if the driver slows to
a speed of 60 mph, he will have a fuel efficiency of 34
miles per gallon. what is the average rate of change of
the fuel efficiency as the speed drops from 75 mph to
60 mph?
The average rate of change of fuel efficiency = -3 gallon per hour
Fuel efficiency of the cooper when driving at a speed of 75 mph = 29 miles per gallon
Fuel efficiency of the cooper when driving at a speed of 60 mph = 34 miles per gallon
Let y₁ = 75 mph, y₂ = 60 mph
and x₁ = 29 miles/gallon , x₂ = 34 miles /gallon
Then the average rate of change of fuel efficiency = (y₂-y₁)/(x₂-x₁)
= (60 - 75)/(34-29)
= -3 gallon per hour
This means that the fuel efficiency dropped as the speed dropped from 75 mph tp 60 mph.
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Which is equivalent to 0.4 and 8.7
Answer:
option D for you I have brainly plus and that's the answer I got.
Pleae answer! There are 40 players on the basketball court in a city. there are 2 teams on each court and 5 players on each team. select all the equations you can use to find the number of basketball courts, c.
A: c times 2 times 5= 40
B: 40 divided by c = 2 times 5
C: 2 times 5 times 40= c
D: 40 divided by 5 times 2= c
E: 40 divided by (5 times 2)= c
Answer:
Step-by-step explanation:
Order the numbers below from least to greatest.
Answer:[tex]\sqrt 7,2.8,\pi ,\sqrt{17, 4.6[/tex]
Step-by-step explanation:
How many zeros does 7.185629 x 102985 have?
Answer:
3
Step-by-step explanation:
3
Answer:
4
Step-by-step explanation:
7.185629 x 102985 = 740,012.002565 which has 4 zeros
Write each expression as a single logarithm.
log₆24-log₆4
The logarithm expression can written as log₆ 24 - log₆ 4 = 1
There are 7 properties of logarithms: Product Rule, Quotient Rule, Power Rule, Zero Rule, Identity Rule, Inverse Property of Logarithm, Inverse Property of Exponent, Change of base formula.
In this question, we use the Quotient Rule of logarithms.
Quotient rule of logarithms states that the logarithm of a quotient is equal to a difference of logarithms.
Example: logₐ (x/y) = logₐ x - logₐ y
So, we get that:
log₆ 24 - log₆ 4
= log₆ (24 / 4)
= log₆ 6
which will also be equal to
= 1
Therefore, in the equation log₆ 24 - log₆ 4 = 1 and the property of the quotient rule of logarithms is used.
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15/48
The graph below describes the journey of a train between two cities.
a) Work out the
acceleration, in km/h²,
in the first 15 mins.
1201
100
80
b) Work out the distance
between the two cities. 60
a)
8
40
c) Work out the average
speed of the train during 20
the journey.
9am
10am
Time
11am
a)The acceleration, in km/h², in the first 15 mins = 200 km/h².
b) The distance between the two cities = 125 km.
c) The average speed during 20 the journey = 62.5 km/hr.
What is defined as the acceleration?Acceleration is the rate during which velocity changes over time, both in terms of speed and direction. A point or takes place in a straight line is sped up if it quickens or decelerates. Even if the speed is constant, motion on such a circle is accelerated because the direction is constantly changing.For the given question;
Every horizontal block is 1/8 hour = 7.5 minutes long.
Each vertical block has a speed of 10 km/hr:
The table drawn as per the data given in the table:
Time Velocity km/hr
0 Min ( 0 hr) ---> 0
15 Min (1/4 hr) --> 50
45 Min (3/4 hr) --> 50
60 MIn ( 1 hr) --> 100
90 Min ( 3/2 hr) ---> 100
120 Min ( 2hr) ---> 0
The formula for acceleration:
Part a: Acceleration = final velocity - initial velocity / final time - initial time
Acceleration in the first 15 minutes: (1/4 hr) = (50 - 0)/(1/4 - 0)
= 50/(1/4)
=200
Thus, acceleration in the first 15 minutes is 200 kmph.
Part b: Distance among two cities:
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
The difference distance for two cities is 125 kilometers.
Part c: Average speed = distance/2
Average Travel Speed = 125/2 = 62.5 km/hr
Therefore,
a: Acceleration in the first 15 minutes = 200 km/h²
b: The distance between two cities is 125 kilometers.
c: The average speed of the journey is 62 miles per hour.
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Please help me out
Write a potential exponential function (y= ab^x) that has a y-intercept of (0,3) and passes through the point (2,48)
The exponential function that has a y-intercept of (0, 3) and passes through the point (2, 48) is y = 3 · 1.386ˣ.
How to derive an exponential function
Herein we are asked to derive the exponential formula of the form y = a · bˣ that has a y-intercept of (0, 3) and passes through the point (2, 48). By using logarithm properties, the expression can be modify into this linear-like expression:
㏑ y = ㏑ a · bˣ
㏑ y = ㏑ a + x · ㏑ b
By substituting x and y, we find the following system of equations:
㏑ 3 = ㏑ a (1)
㏑ 48 = ㏑ a + 2 · ㏑ b (2)
By (1):
a = 3
(1) in (2):
㏑ 48 = ㏑ 3 + 2 · ln b
㏑ b = (1 / 2) · ㏑ (48 / 3)
b ≈ 1.386
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