The properties used to simplify the problem are associative property of addition, additive inverse, and additive identity.
Consider the given problem;
( 38 + 677 ) + ( - 38 )
The associative properties can be represented as:
( A + B ) + C = A + ( B + C )
Now, we need to check all the options to determine the properties used:
( 38 + 677 ) + ( - 38 ) = 38 + ( 677 - 38 )
( A + B ) + C = A + ( B + C )
Therefore, this is the associative property.
Now,
677 + 0 = 677
A + 0 = A
Thus, this is the additive identity.
Similarly,
677 + [ 38 + ( -38 ) ]
Here, 38 + ( -3 8 ) represents,
A + ( - A ) = 0.
Therefore, this is the additive inverse.
Thus, the properties used to simplify the problem are the associative property of addition, additive identity, and additive inverse properties.
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Liam is setting up folding chairs for a meeting. If he arranges the chairs in 7 rows of the same length, he has 11 chairs left over. If he arranges the chairs in 5 rows of that same length, he has 13 left over. How many chairs does Liam have?
Answer:
liam will have 7 chairs leftover
Step-by-step explanation:
A rectangular hotel room is 5 meters by 7 meters. The owner of the hotel wants to recarpet
the room with carpet that costs $47.00 per square meter. How much will it cost to recarpet
the room?
Answer:
It will cost $1,645 to recarpet the room
Step-by-step explanation:
room 5 meters by 7 meters is 35 m^2
Therefore, 35*47.00 = $1,645
Determine the probability that the first child of clara and charles will be a boy with hemophilia. express your answer as a fraction (example 1/8).
The probability that the first child of Clara and Charles will be a boy with hemophilia is 1/4.
How to calculate the probability?It shouldbe noted the dominant and recessive alleles is given as H and h. It should be noted that A and a also represent the tyrosinase alleles.
The father of Clara had hemophilia.
Therefore, the probability that the first child of Clara and Charles will be a boy with hemophilia will be:
= 1/2 × 1/2
= 1/4.
Therefore, the probability is 1/4.
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In humans, hemophilia (OMIM 306700) is an X-linked recessive disorder. The dominant and recessive alleles represented by H and h . Albinism is an autosomal recessive condition . A and a represent the tyrosinase alleles. A healthy woman named Clara (II-2), whose father (I-1) has hemophilia and whose brother (II-1) has albinism, is married to a healthy man named Charles (II-3), whose parents are healthy. Charles's brother (II-5) has hemophilia, and his sister (II-4) has albinism. The pedigree is shown.
Determine the probability that the first child of clara and charles will be a boy with hemophilia.
An online music store is having a promotion. Customers receive a $ 5 rebate if they buy any regular priced CD at $ 13 each. They can also recelve 15 % off if they register as a store member.
a. What functions model the two discounts?
The functions that model the two discounts will be given as R (x) = 5 x and M (y) = 0.15 y.
We are given that:
Rebate a customer receives if he buys a regular priced CD at $ 13 each = $ 5.
If a customer registers for the store member, he get a discount = 15 %.
Now, let the regular priced CD purchased be x and the application for store member be y.
So, the functions will become:
For rebate:
R (x) = 5 x
For discount:
M (y) = 15 % of x
M (y) = 0.15 x
Therefore, we get that, the functions that model the two discounts will be given as R (x) = 5 x and M (y) = 0.15 y.
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5, 5/2, 5/4, 5/8, 5/16, find the next three terms in each sequence
Answer:
5/32, 5/64, 5/128
Step-by-step explanation:
Multiply the denominator by 2
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Answer:
Bro Im not gonna give u answer but im gonna give hint. I think u should make a chart with all possibilties and see how many of them can add upt o 11.
Divide.Rationalize all denominators 2+√5 / √5
The value of the expression [tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex] after rationalizing the denominator is [tex]\frac{2\sqrt{5}+5 }{5}[/tex].
A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Rationalizing the denominator is the process of shifting a root, such as a square root or a cube root, from the fraction's denominator to its numerator (numerator).
The numerator is the part of a fraction that comes before the vinculum.
The denominator of a fraction is the phrase that comes before the vinculum.
Consider the expression,
[tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex]
Now, let [tex]y=\frac{2+\sqrt{5} }{\sqrt{5} }[/tex]
To rationalize the denominator we multiply and divide the expression by √5.
[tex]y=\frac{2+\sqrt{5} }{\sqrt{5} } \times \frac{\sqrt{5} }{\sqrt{5} }[/tex]
[tex]y=\frac{2\sqrt{5}+(\sqrt{5} )^{2} }{(\sqrt{5} )^{2}}[/tex]
[tex]y=\frac{2\sqrt{5}+5 }{5}[/tex]
The value of the expression when rationalized [tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex] is [tex]\frac{2\sqrt{5}+5 }{5}[/tex].
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89 + 38 x 2 = ?
Giving crown
Answer: 254
Step-by-step explanation:
89 + 38 x 2
89 + 38 = 127
127 x 2 = 254
simplify 6/22 = ?/? please help
Answer:
3/11
Step-by-step explanation:
divide each side by 2
Answer:
3/11
Step-by-step explanation:
Let's simplify the value,
→ 6/22
→(6 ÷ 2)/(22 ÷ 2)
→ 3/11
Thus, the value is 3/11.
I need help please-
(30 Points)
Answer:
I believe b but not 100%
Step-by-step explanation:
xoxo
Which of the following pairs consists of equivalent fractions? 3/4 and 4/5 9/24 and 21/56 4/10 and 10/4 9/12 and 2/3
Answer:
9/24 and 21/56
Step-by-step explanation:
9/24 = 0.375 or 3/8
21/56 = 0.375 or 3/8
Tickets to a Broadway show cost $50 for adults and $10 for children. The total receipts for 1440 tickets at one performance were $54,000. How many adult and how many child tickets were sold?
The number of adult tickets sold for $50 is 990 and the number of children tickets sold for $10 is 450
How do we represent adult tickets and children's tickets?
The adult tickets can be represented by x whereas the children's tickets are represented by y, hence, the sum of x and y gives 1440 tickets
x+y=1440.......... equation 1
50x+10y=54000........ equation 2
solve for x in equation 1
x=1440-y
substitute for x in equation 2
50(1440-y)+10y=54000
72000-50y+10y=54000
72000-54000=50y-10y
18000=40y
y=18000/40
y=450
x+y=1440
x+450=1440
x=1440-450
x=990
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U guys never let me downnnn cmonnn i need this quick thooo
The circumference of the circle with the radius is 50.24 inches
How to calculate the circumference of the circle?The figure represents the given parameter
On the figure, we have the diameter (d) to be
d = 16 inches
The radius of the circle is calculated using
r = d/2
So, we have
r = 16/2
Evaluate the quotient
r = 8
The circumference of the circle is then calculated as
C = 2πr
Where π is given as
π = 3.14
So, we have
C = 2 * 3.14 * 8
Evaluate the product
C = 50.24
Evaluate the product
C = 50.24
Hence, the circumference of the circle with the radius is 50.24 inches
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algebra 2 help for 50 points
Answer: (^ represents the exponent)
a) 10^x-1
b) 10^4x
c) c^6
Step-by-step explanation:
a) When you divide powers, you subtract their exponents. Since c = 10^x and it is being divided by 10^1, it would be the equivalent of 10^x-1
b) c= 10^x. c^4 would be equal to (10^x)^4 or [tex](10^{x})^{4}[/tex]. When powers are placed this way, you multiply their exponents. For instance [tex](3^{2})^{4}[/tex] would be [tex]3^{8}[/tex].
C) This is the same concept as part b, but reversed. 10^6x is equal to (10^x)^6, which is equal to c^6.
Is 4 x 10³ or 2 x 10⁸ larger in value? Explain why.
the average elevation of New Orleans, Louisiana,is 8 feet below sea level.
What integer is used to represent this elevation?
The average elevation of Louisiana denoted as an integer is -8 feet.
An integer is a real number which is not a fraction. Examples of integers are -4,0,7,26.
There are 3 types of integersPositive integers such as 5,8,2354negative integers such as -1 , -45 ,100zero integer or 0Integers are subsets of Real numbers.All whole numbers and natural numbers are subsets of Integers.The elevation above sea-level of a place is represented by a number and it is calculated by length above or below the average water level of all water bodies on earth.
Places above sea level are denoted by a positive numbers while places below the average sea-level are denoted by negative numbers.
Here the height of Louisiana is 8 feet below the sea-level , so to denote the height of Louisiana we us the negative integer -8 feet.
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Assuming a linear relationship, find the missing value in the table below.
y
x
1
2
3
4
5
4
7
10
13
Assuming a linear relationship, the missing value in the table above is equal to 3.
What is a linear equation?A linear equation can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
By critically observing the values in the table above, we can logically deduce that there exist a linear relationship between the data set. Therefore, the value of x increases by 1 while the value of y increases by 3.
Also, we can determine the slope of the given data set as follows:
Slope = Δy/Δx
Slope = (7 - 4)/(2 - 1)
Slope = 3/1
Slope = 3.
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How much can 4 go into 150
Answer:
37.5
Step-by-step explanation:
37.5
4 | 150.0
- 12 ↓
---------------
30.0
- 28 ↓
-----------------
20
- 20
--------------------
0
I hope this helps!
-160=6x-8(5x+3) what is my answer
The answer to the expression -160=6x-8(5x+3) is x = 4.
What is an expression?An expression is written in the form of variables and constants combined with arithmetic operations. There are many types of expressions in mathematics they are algebraic expressions, logarithmic expressions, trigonometric expressions, and many more.
The given expression - 160 = 6x - 8(5x+3) can be writen as,
6x - 8(5x+3) = -160.
First, we will distribute what is inside the brackets.
∴ 6x - 40x - 24 = -160.
-34x = -160 + 24.
-34x = -136.
34x = 136.
x = 136/34.
x = 4.
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If Z is the middle point of RT what is x? Don't round.
Answer:
x = 28.75
Step-by-step explanation:
RZ and RT will have the same length since Z is a midpoint
8x - 10 = 220
Add 10 to both sides
8x = 230
Divide both sides by 8
x = 28.75
When finding the difference in elevations, should you only consider the absolute value of the difference? Why or why not? HELP ME WITH THIS PLEASE!!!
No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.
What is absolute value?Absolute value describes the distance from zero that a number is on the number line, without considering direction.
We know that while measuring elevation there can be a positive value which means that the distance measured is above sea level and there can also be a negative value elevation which means that the distance measured is below sea level.
For example:
If we are measuring the difference in distance of two points below sea level.
One point is at -6 feet
Another point is at -14 feet
The difference between these points is:
= -14 - (-6)
= -14 + 6
= -8
We can have a negative difference in elevation but the absolute value will always give a positive value.
Therefore,
No, when finding the difference in elevations we should not consider only the absolute value of the difference because elevation differences can give a negative value as well.
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HELP ME ASAP PLSSS
Y = x*-0.25
Hope this helps.
Two of Ms. Cole's Earth science classes have 23 students each. Box plots for recent test scores for these two classes are
displayed.
Third Period
←++ ++ ++
45 50 55 60 65 70 75 80 85 90 95 100
Which statement about the scores is true?
▬
Fifth Period
1
+++
++
45 50 55 60 65 70 75 80 85 90 95 100
The option B , which says that the mean of the two data sets are equal is the correct statement.
To answer the question we need to understand the meaning of a boxplot
A boxplot is a standardized way of showing the distribution of data based on a five number summary minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
According to the problem showed in question ,
As we can see from the two box plots that the mean for both the box plots is less than 80 but greater than 75.
Hence we can say that the mean of the two given data sets are equal
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Children's tickets to the zoo cost $9 each, and adult tickets cost $16 each. On Monday, the zoo sold a total of 95 tickets and made $1,380 on ticket sales. Which of the following systems of equations could be used to find out how many of each ticket type was sold? Let a equal the number of adult tickets, and let c equal the number of child tickets.
(A) a+c=1,380, 9c+16a=95
(B) a+c=95, 9a+16c = 1,380
(C) a+c=95, 9c+16a = 1,380
(D) a+c=1,380, 9a+16c = 95
Answer:
B
Step-by-step explanation:
the total number of adult/ children tickets sold was 95 , then
a + c = 95
the ticket sales totalled $1380 , then
9a + 16c = 1380
the system of equations is
a + c = 95 , 9a + 16c = 1380
A 1200 gram sample of radioactive matter will completely decay (be undetectable) in 10 hours. There exists a set of ordered pairs (t. m), where t is the amount of time in hours that the substance has been decaying, and m is the mass in grams that has decayed.
If t≥ 0, what is the range of m?
Using it's concept, the range of the function is given as follows:
0 ≤ m ≤ 1200.
What is the range of a function?The range of a function is the set that contains all possible output values for the function.
For this problem, we have to consider these two bullet points next, considering the mass is the output value of the function.
The smallest possible mass for the substance is of 0 grams, as after the substance decays to 0 grams, it will not assume a negative value, it will just disappear.The greatest possible mass for the substance is the initial mass of 1200 grams, as the substance does not adquire mass with time, it just loses it.Considering these masses, the range of the function is given as follows:
0 ≤ m ≤ 1200.
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Solve the inequality
Answer:
Step-by-step explanation:
PLS HELP I NEED RN AND ALSO THANKS!!
A Picture of the work is attached
The side AC is 8.5 cm.
What is AC?We know that a triangle is a polygon that has three sides. There are so many kinds of triangle such as;
Right angle triangleScalene triangle Isosceles triangle Equilateral triangleIn this case what we have is a right angled triangle ABC. Having seen this, we now have to find the side that has been marked AC in the triangle shown.
In this case, we are required to obtain the side that has been marked as AC and we have to use the given side AB and the angle that is given as angle BAC.
Now;
AB = 11 cm
Angle BAC = 39 degrees
AC = unknown
Thus we now have to make use of the trigonometric ratios;
Cos θ = opposite/ adjacent
opposite = AC
Adjacent = 11 cm
AC= 11 cm cos 39 degrees
AC = 8.5 cm
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What is the equation of the line that passes through the point (2,-1)and has a slope of 1
Answer:
y = x - 3.
Step-by-step explanation:
We use the point-slope form of the straight line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.
So, for this line we have:
y - (-1) = 1(x - 2)
y + 1 = x - 2
y = x - 2 - 1
y = x - 3.
WILL GIVE BRAINLEST!!!
Which shows the best use of the associative and commutative properties to make simplifying [tex]\frac{1}{6} -8+3- \frac{5}{6} +9[/tex] easier?
A. (1/6 - 5/6) + [3+9+ (-8)]
B. (3 +1/6) + [9+(-8)+(-5/6)]
C. [1/6 + (-8)] + [3+(-5/6) +9]
D. [3 +9 + 1/6] + [ - 5/6 + (-8)]
Answer:
a
Step-by-step explanation:
The change in position from the shaded figure to the unshaded figure is best described as a __________.
a.
reflection
c.
translation
b.
transversal
d.
rotation
Please select the best answer from the choices provided
A
B
C
D
The change in position from the shaded figure to the unshaded figure is best described as a translation.
What is a translation transformation?A translation transformation is such that the entire shape is copied and then this copy is moved to another part of the graph.
In a translation, the size of the shape does not change. Other things that don't change include the orientation of the shape. It remains the exact same, but in a new location.
The shape, size and orientation of the shaded figure is the same as the unshaded figure so this is a translation.
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