To compare 7.123 and 7.213 you have to look at tenths place in each number. Given that 1 is less than 2, then 7.123 is less than 7.213, that is,
7.123 < 7.213
arrange the following interest rates in a ending order: 3.4%, 3.039%, 3 3/16%, 3.499%, 3 1/2%
Answer:
3.039%, 3 3/16%, 3.4%, 3.499%, 3 1/2%.
Step-by-step explanation:
First convert to them all decimal fractions:
= 3.4, 3.039, 3.1875, 3.499, 3.5
so, the answer is
3.039, 3.1875, 3.4, 3.499, 3.5
The perimeter of the triangle below is 89 units. Find the length of side BC.
Write your answer without variables.
Answer:
BC = 10 units
Step-by-step explanation:
Perimeter of triangle:Perimeter = Sum of all sides
y + 1 + 4y + 5y - 2 = 89 units
y + 4y + 5y + 1 - 2 = 89
Combine like terms,
10y - 1 = 89
Add 1 to both sides,
10y = 89 + 1
10y = 90
Divide both sides by 10,
y = 90 ÷ 10
y = 9 units
BC = y + 1
= 9 + 1
= 10 units
The amount that a charter boat captain charges a group to go deep-sea fishing is shown. If the group tips the captain 17%, what is the total amount that the captain receives for the fishing trip?
The total amount that the captain receives for the fishing trip=850+17 percent $994.5
What is the percentage?
The Latin word "per centum," which means "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.Amount charged =$850
tip from the group=17 percent
The total amount that the captain receives for the fishing trip=850+17 percent 850
=850+(0.17X850)
=$994.5
The total amount that the captain receives for the fishing trip=850+17 percent $994.5
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Find the slope from the following graph....
Answer:
b is correct.
Step-by-step explanation:
Starting at (-2, -3), go 4 units up and then 5 units to the right. You will end up at (3, 1).
plse answer this quickly:
150 adults complete a survey
80 are women
write the ration men:women in its simplest form
Which are the foci of the hyperbola represented by x2-3y2 + 12 = 0?
(0, -4) and (0,4)
(0, -2) and (0, 2)
(-2, 0) and (2, 0)
(-4, 0) and (4,0)
The foci of the hyperbola represented by x² - 3y² + 12 = 0 is; (0, -4) and (4, 0)
What is the Foci of the Hyperbola?The general form of equation of a vertical hyperbola is expressed as; (y²/a²) + (x²/b²) = 1
Some of the properties of a vertical hyperbola are;
Its center is at (0, 0)Its' foci is given by (0, -ae) and (ae, 0)Its' vertices is given by (0, -a) and (0, a)Its' eccentricity is given by e = [√(a² + b²)]/aWe are given the equation of the hyperbola as;
x² - 3y² + 12 = 0
Converting this equation to the general form of a vertical hyperbola, we have; x² - 3y² = -12
Divide through by -12 to get;
(y²/4) - (x²/12) = 1
From the general form, we can say that;
a² = 4
b² = 12
Thus;
Eccentricity; e = [√(a² + b²)]/a = e = [√(4 + 12)]/4
e = 1
Thus, the foci is;
(0, -(4 * 1)) and ((4*1), 0) = (0, -4) and (4, 0)
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solve this problem -2(w + 6) + 5w
Indian cricket team won 4 more matches than it lost with NewZealand. If it won 3/5 of its matches
,how many matches did India play?
As per the unitary method, the number of matches did India play is 20.
Unitary method:
Unitary method is the method in which we first find the value of a unit quantity and then use it to find the value of any required quantity.
Given,
Indian cricket team won 4 more matches than it lost with New Zealand.
Consider If it won 3/5 of its matches, then we need to find the number of matches did it played.
Let us consider the number of matches lost = x
Number of matches won = x + 4
Therefore, the total matches played
=> x + x +4
=> 2x + 4
So, we know that, it won 3/5 th of the matches,
Then it can be written as,
=> x + 4 = 3/5 (2x +4)
Cross multiply it,
=> 5(x + 4) = 3(2x + 4)
=> 5x + 20 = 6x + 12
=> x - 8 =0
=> x = 8
Then the total number of matches played by India is,
=> 2(8) + 4
=> 16 + 4
=> 20.
Therefore, 20 matches are played by India.
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The cargo of the truck weighs no more than 2,400 pounds.
Answer:
give me the details then I might be able to actually answer it -_-
Step-by-step explanation:
A quadrilateral in the third quadrant is rotated 90° clockwise about the origin. Which quadrant will the transformed quadrilateral be in?
Answer: Quadrant 2
Step-by-step explanation: well quadrant 3 is the bottom right corner, and clockwise would put it up a quadrant, which is quadrant 2.
Eight less than four times a number is less than 56. What are the possible values of that number?
0 x>12
0 x<12
O
x<18
O x>16
The expression of the possible values of the number is x < 16
How to determine the possible values of the number?The statement is given as
Eight less than four times a number is less than 56.
Rewrite the statement as an expression
So, we have
4 * number - 8 is less than 56
Represent the number with x
So, we have
4 * x - 8 is less than 56
This gives
4 * x - 8 < 56
Add 8 to all sides
4 * x < 64
Divide both sides by 4
So, we have
x < 16
Hence, the number is all numbers less than 16
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help please timedt:
In an independent random sample of 10 juniors and 10 seniors, the number of minutes spent on social media per day are given by the back-to-back stem-and-leaf plots.
Time Spent on Social Media
junior senior
2 11
5 1 12 3
5 4 2 13
8 14
6 15
16 6
17 25
18 36
5 19 147
0 20 1
Key: 12|5 = 125
Part A: Describe the shape of each data set. (4 points)
Part B: Wyatt analyzed the data and stated that the better measure of center for the seniors is the mean. Is Wyatt correct? Explain your reasoning. (5 points)
Part C: Wyatt decided there are no outliers in the juniors' data set. Is he correct? Justify your answer mathematically. (5 points)
Considering the given stem-and-leaf plot for the distribution, it is found that:
a. The shape of each data-set is:
Juniors: Right-skewed.Seniors: Left-skewed.b. Due to the skewed distribution, the best measure is the median, and Wyatt is not correct.
c. Since all the values are within 1.5IQR of the first and of the third quartile, there are no outliers in the distribution and Wyatt is correct.
Stem-and-leaf plotThe plot lists all the measures in the data-set, following the format of the key, as follows:
4|5 = 45.
Hence, the Junior measures are:
112, 121, 125, 132, 134, 135, 146, 156, 195, 200.
The Senior measures are:
123, 166, 172, 175, 183, 186, 191, 194, 197, 201.
To classify the shape of the distribution, we need to find the mean and the median.
For the Juniors, these measures are given as follows:
Mean: 145.6.Median: 134.5.As the mean is greater than the median, the distribution is skewed to the right.
For the Seniors, these measures are given as follows:
Mean: 178.8.Median: 184.5.As the median is greater than the mean, the distribution is skewed to the left.
For item b, in skewed distributions we should use the median as the measure of center, hence Wyatt is not correct.
For item c, the quartiles of the Junior's data-set is given by:
Q1: 123.Q3: 175.5.Hence the interquartile range IQR is given by:
175.5 - 123 = 52.5.
Then the bounds of non-outlier values are given by:
123 - 1.5 x 52.5 = 44.25.123 + 1.5 x 52.5 = 201.75.All the measures are in this range, hence there are no outliers.
What is the missing information?The plot is given by the image at the end of the answer.
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pls help will mark brainliest
The equation of the line in slope intercept form is; y = 9x/4 - 37/4.
What is equation of line in slope intercept form?The slope intercept form of such a straight line is among the most common ways to represent a line's equation. When given the slope of a straight line and the y-intercept, the slope intercept equation can be used to find the equation of a line ( the y-coordinate of the point in which a line intersects the y-axis).For a straight line with a slope,'m,' and 'b' as the y-intercept, the slope intercept form equation is: y = mx + b.For the given question;
The equation of the parallel line is given as;
9x - 4y = 7
Find the slope of the equation by comparing the equation with the standard form.
4y = 9x - 7
y = 9x/4 -7/4
Slope = m = 9/4
As, the line is parallel to the line passing from the point (5, -2).
Thus, the slope of both lines will be equal.
The equation in slope intercept form is found using,
y - y1 = m(x - x1)
y + 2 = (9/4)(x - 5)
Solving,
y = 9x/4 - 37/4
Where, slope is 9/4 and y-intercept is -37/4.
Thus, the equation of the line in slope intercept form is; y = 9x/4 - 37/4.
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) Find x when f(x) = g(7).
There are 221 students on a field trip 5 students ride in a van the rest of the students fill 6 buses enter an equation that can be solved to find the number of students
AJ, this is the solution to the exercise:
Applying one of the exponents property, we have:
(2^2t
La hipotenusa de un triángulo rectángulo mide 3 cm y uno de sus catetos mide 2 cm.
Encuentra la medida de la otra pierna.
The value of the missing length √5
What Pythagoras Theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given,
Hypotenuse = 3cm
One side = 2cm
Let the one side given be Base
Then, base = 2cm
Now, by Pythagoras Theorem we can find out the missing length or Perpendicular of the triangle
By Pythagoras Theorem:
H² = P² + B²
If we have to find perpendicular then,
P² = H² - B²
or,
P = √H² - B²
Putting the values we get,
P = √(3)² - (2)²
P = √(9 - 4)
P = √(5)
P = √5
Hence, The missing length of the triangle is √5
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Use De Morgans law to write a statement that is equivalent to the following statement
Note that the two De Morgan laws are:
[tex]\begin{gathered} (P\lor Q)^C=\text{ P}^C\wedge Q^C \\ (P\wedge Q)^C=P^C\lor Q^C \end{gathered}[/tex]For the statement
[tex]-(p\lor q)[/tex]The equivavent statement if De Morgan law is applied will be:
[tex]-p\wedge-q[/tex]Can anyone show me how to find Arithmetic Sequences?
8. How much of each ingrédient would you need to make an identical recipe that serves 24 people? Explain you reasoning.
each ingredient is multiplied by 24 will need to make an identical recipe that servers 24 people.
How to find How much of each ingredient would need for recipe?The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of the two numbers, and the factors that are multiplied are referred to as the factors.
according the question
if 2 cups of flour is used for recipe prepared for 1 person.
if you want to prepare the recipe for 24 people it will need 2 X 24 = 48.
so 48 cups of flour is used for recipe prepared for 24 people.
Hence, each ingredient is multiplied by 24 will need to make an identical recipe that servers 24 people.
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Rayan bought 3 2/3 lb of apples to make
some apple pies. What is the weight of the
apples written as a decimal?
Answer:
3.66 lb
Step-by-step explanation:
2/3=0.666
3+0.66=3.66
equation to represent the relationship
x 18 12 21 27
y 6 4 7 9
The equation which represent the relationship between x and y is x = 3y.
Given that:-
x 18 12 21 27
y 6 4 7 9
We can see that,
When x = 18, y = 6
Hence, 18 = 3*6
Hence,
x = 3y
Similarly,
When x = 12, y = 4
Hence, 12 = 3*4
Hence,
x = 3y
When x = 21, y = 7
Hence, 21 = 3*7
Hence,
x = 3y
When x = 27, y = 9
Hence, 27 = 3*9
Hence,
x = 3y
Hence, by observing all the data given in the question, we can say that,
x = 3y
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MP Reason Abstractly Determine if the
following statement is true or false. Explain.
When the percent of change is a decrease,
the original amount will be greater than the
new amount. (how do you solve this??)
Evaluate x² + 2x – 1 when x =
a) 0
b) -2
c) 4
Answer:
Substitute respective values of x into the equation.
a) When x = 0,
(0)² + 2(0) - 1 = -1
Ans: -1
b) When x = -2,
(-2)² + 2(-2) -1 = 4 + (-4) - 1
= - 1
Ans: -1
c) When x = 4,
(4)² + 2(4) - 1 = 16 + 8 - 1
= 23
Ans: 23
Polina has some juice pouches that each contain 7 fluid ounces of juice. write an equation that relates the number of juice pouches (p) to the total volume of juice (j) in fluid ounces
Each of Polina's juice pouches holds 7 fluid ounces of juice. A equation that connects the quantity of juice in each pouch to the overall amount in fluid ounces is p-7j=0.
Given that,
Each of Polina's juice pouches holds 7 fluid ounces of juice.
We have to create a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces.
The equation is p=7j
p-7j=0
Therefore, a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces is p-7j=0.
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what number makes the fraction equivalent 3/8=27/
Answer:
72
Step-by-step explanation:
Let x = the unknown value, and express the equation as follows:
3/8 = 27/x
Cross-multiply (multiply each side of the equation by the other side's denominator, thus eliminating the denominators from both sides):
3x = 8 * 27
Simplify:
3x = 216
x = 72
Find the 50th term of
6, 12, 18, 24,...
Make x the subject of m=n+x/p
Step-by-step explanation:
m = n + x/p
to make x the subject means to transform this into an equation, where we have x alone on one side being expressed by the other terms.
e.g.
x = ...
remember, when we change one side of an equation, we have to do the same thing to the other side as well. otherwise the equation relation is broken. it is like a balance that we need to keep in balance.
so,
m = n + x/p | subtract n from both sides
m - n = x/p | multiply both sides by p
(m - n)p = x
or
x = (m - n)p
because it is an essential property of an equation relation that
a = b means that also b = a
Help me out giving points to right answers
Answer:
-10 and -5 is the answer of that question
Graph the line with slope -3/4 and y-intercept 9.
The equation of the line with slope -3/4 and y intercept 9 is y=-3/4x+9.
Based on the conditions formulate:
m=-3/4
and b = 9
Write the equation of the linear function:
y=mx+b
substitute m=-3/4 and b=9 into y=mx+b:
y = -3/4x+9
A line's equation must be in the Slope-Intercept Form, y = mx + b, in order to be graphed using its slope and y-intercept.
This format makes it simple to read off the slope and y-intercept values. The y-intercept is the constant term b, whereas the slope is just the m coefficient of the variable x.
plot the y intercept (0,9) in the xy axis.
Use the slope to locate a different point beginning at the y-intercept. The direction you travel from one point to another is contained in the slope.
Hence the required graph is plotted.
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зь
4
- 2 ≤ 2b + 8; b = -4
Answer:
true
Step-by-step explanation:
