Answer:
Original principal = 400
Step-by-step explanation:
Given:
Interest amount = $120
Rate = 6%
Time = 5 years
Find:
Original principal
Computation:
Interest amount = Original principal x Rate x Time
120 = Original principal x 6% x 5
Original principal = 400
Write an equation in slope-intercept form of the line that passes through (7,2) and (2,12)
A grocery bag contains x apples, each weighing One-third of a pound, and y pounds of grapes. The total weight of the grocery bag is less than 5 pounds. Which graph represents the possible numbers of apples and pounds of grapes that can be in the bag?
Answer:
The answer on edg is B. Points (0,5) and (15,0)
Step-by-step explanation:
The equation looks like this 1/3x + y < 5
Answer:
B. The second graph
Step-by-step explanation:
How do you do 20 / 4/5
Answer:
25
Step-by-step explanation:
you can write this equation as 20 ÷ [tex]\frac{4}{5}[/tex]
so change the division sign to multiplication by flipping the divisor ( [tex]\frac{4}{5}[/tex] )
this means you now have 20 x [tex]\frac{5}{4}[/tex]
so you can simplify 20 and 4, this makes the 4 into a 1 and the 20 into a 5
you now have 5 x [tex]\frac{5}{1}[/tex]
this is the same thing as 5 x 5
multiply it, and you can see that the answer is 25
If a single card is drawn from a standard 52-card deck, in how many ways
can it be a heart or a King? Use the general additive principle.
Answer:
22
Step-by-step explanation:
What is the interquartile range of the following data set?
4, 6, 10, 13, 18, 28, 34, 46, 50, 58
O A. 38
O B. 36
O C. 40
O D. 46
Answer:
Quartiles are special percentiles. The first quartile, Q1, is the same as the 25th percentile, and the third quartile, Q3, is the same as the 75th percentile. The median, M, is called both the second quartile and the 50th percentile.
Step-by-step explanation:
please mark me as the brainliest answer and please follow me.
Answer: 36
Step-by-step explanation:
Michaela solved a system of linear equations that had no solution. One of the equations was x + y = 5. The other equation had a y-intercept of −2. What was the other equation?
Answer:
We have a system of equations with no solutions.
One of the equations is:
x + y = 5.
Isolating y in one side of the equation, we get:
y = 5 - x
And the other equation has an y-intercept of -2, the equation can be written as:
y = a*x - 2.
Then the system will be:
y = -1*x + 5
y = a*x - 2
The solution of a system of equations is a point where the graphs of both functions intersect.
Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.
And two lines are parallel if they have the same slope.
Then the other equation will be:
y = -x - 2
Help pls it’s due soon make sure to follow the steps I don’t get it
If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 4 tails?
Answer:
=0.444
Step-by-step explanation:
probability= expected outcome = 4
total outcome 9
4 into decimal = 0.444( to the nearest thousandths- 3dp)
9
The probability is 24.609%
What is probability?The mathematical subject of probability deals with the outcomes of random events. The term "probability" refers to the possibility or chance of an outcome. It clarifies the likelihood of a particular occurrence. We use phrases like "It will probably rain today," "he will probably pass the test," "there is very little chance of getting a storm tonight," and "most probably the price of onion will go high again" all the time.
Given a coin is tossed 9 times, and to find the probability of exact four heads,
the probability for condition given by binomial probability ⁿCₓ[(p)ˣ(q)ⁿ⁻ˣ]
where p is probability of tail = 1/2 (favorable outcome)
q is probability of head = 1/2: (1 - p)
n = total outcome = 9
x = 4
ⁿCₓ[(p)ⁿ(q)ⁿ⁻ˣ] = ⁹C₄[(1/2)⁴(1/2)⁵]
= [tex]\frac{9!}{4!(9 - 4)!}[/tex] [1/16 x 1/32]
= [tex]\frac{9 x 8 x7 x 6 x 5!}{4! x 5!}[/tex](512)
126/512 = 0.24609
= 24.609%
Hence the probability, to the nearest thousandth is 24.609%.
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Simplify the expression 10a-7b+11+8b-b-12
Answer:
10a-16b+23
Step-by-step explanation:
First, you see what terms are alike. Then you add those like terms. For example with this expression, you add 7b+b+8b, resulting in 16b. If you are confused by the single b variable standing alone, there is basically a 1 in front of it, so you add it as 1b. 11 and 12 are like terms, for they don't have any variables attached to them. 10a stands alone because no other terms have an a variable. The simplified expression is 10a-16b+23.
Your welcome <3
The simplified value of the expression 10a - 7b + 11 + 8b - b - 12 is 1a - 1.
Given Expression:
10a-7b+11+8b-b-12
To simplify expression, first solve the like terms as
10a-7b+11+8b-b-12
= 10a -7b + 8b - b - 12 + 11
Now, -7b + 8b - b = -7b + 7b = 0
and, -12 + 11 = -1
Substituting the simplified value in 10a-7b+11+8b-b-12 gives
= 10a + 0 - 1
= 10a - 1
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Help pleaseeeee
Find the unit rate.
Hours
Miles
X
y
1
40
2
80
3
120
It’s one of these
O 120 miles / 3 hours
O 80 miles / 2 hours
O 40 miles / 1 hour
Answer:
The answer is 40miles in 1 hour
the pythagorean theorem
Hii student!
_________________________________________________________
[tex]\leadsto\parallel\boldsymbol{Answer.}\parallel\gets[/tex]
Option a
________________________________________________________
[tex]\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets[/tex]
We can use the Pythagorean Theorem (below) to solve for x, the shorter leg of the right triangle.
The Pythagorean Theorem[tex]\bullet\,\,\,\boldsymbol{a^2+b^2=c^2.}\bullet[/tex]. in which a and b are the two legs of the right triangle, and c is the hypotenuse, the longest side of the right triangle. This side is opposite the right angle ([tex]90\textdegree[/tex]).
In this problem we're given
Hypotenuse = [tex]\sqrt{218}[/tex]Long Leg = [tex]\boldsymbol{13}[/tex].and we're asked to solve for x, the short leg.
So we stick in the values into the formula.
[tex]\boldsymbol{13^2+b^2=(\sqrt{218})^2}[/tex]
Simplify!
[tex]\boldsymbol{169+b^2=218}[/tex]
Simplify!
[tex]\boldsymbol{b^2=218-169}[/tex]
[tex]\boldsymbol{b^2=49}[/tex]
Next, take the square root of both sides
[tex]\boldsymbol{b=7}[/tex]
[tex]\boldsymbol{\therefore,\:the\:answer\:is\:option\:a}[/tex]
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
[tex]\boldsymbol{-Greetings!-}[/tex]
________________________________________________________
Which of the following fractions is not
equivalent to a repeating decimal?
A 1 2/3
B 5 1/12
C 3 3/8
Answer:
C. 3 3/8
Step-by-step explanation:
A. 1.6666666666666666666666666
B. 5.08333333333333333333333333
C. 3.375
Evaluate.
(0.03)2=
Need help plz
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[tex]2(0.03) = 2 \times \frac{3}{100} = \\ [/tex]
[tex] \frac{2 \times 3}{100} = \frac{6}{100} = 0.06 \\ [/tex]
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The value of the expression is 0.0009.
We have,
To explain the process of evaluating (0.03)², we need to understand the concept of exponentiation and how it applies to decimal numbers.
When we raise a number to the power of 2 (or square it), we are essentially multiplying the number by itself.
In this case, we are squaring the decimal number 0.03.
To calculate (0.03)², we multiply 0.03 by itself:
= 0.03 x 0.03
= 0.0009
In decimal form,
0.03 squared is equal to 0.0009.
This process follows the general rule of exponentiation, where raising a number to a power means multiplying the base number by itself the specified number of times.
In this case, we square 0.03 by multiplying it by itself once, resulting in 0.0009.
Thus,
The value of the expression is 0.0009.
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A line parallel to -6x + 2y = 8 would have a slope of _____.
Answer:
Slope of 3
Step-by-step explanation:
-6x + 2y = 8
Add 6x
2y = 6x + 8
divide by 2
y = 3x + 4
Slope = 3
Parallel lines have the same slope
A word in a book is 0.009 meter long. Kai looked at the word with a lens that made it look 100 times as large as the actual word. How long did the word look?
Answer:
0.9 meters long.
Step-by-step explanation:
0.009m times 100=0.9 m
The number of bacteria present in a culture was 1,000. Each hour , the number of bacteria in the culture was eight times the number that was present at the start of the preceding hour, as shown in the table
Answer:
the answer is d
Step-by-step explanation:
if you go threw your toutorial you will see that
Can someone help me
Answer: 3:8
Step-by-step explanation:
Answer:
it is 3:8
Step-by-step explanation:
they are raitos so if its 3 blue marbles to 8 red marbles it will be 3:8 if its opposite it will be 8:3 pretty simple but im here to help <3
Determine the ratio equivalent to cos Q.
=========================================================
Work Shown:
The triangles are similar, which means the corresponding angles are congruent. In this case, we can say angle K = angle Q. Note how K and Q are the second letters of JKL and PQR respectively. The order matters.
Because angle K = angle Q, we can use information from triangle JKL to get information about triangle PQR.
We can say the following:
cos(angle) = adjacent/hypotenuse
cos(K) = LK/JK
cos(K) = 5/13
cos(Q) = 5/13 ... plug in K = Q
Given: △ABD cong △CBD. Find each value. (#6)
Answer: m<C= 31
Step-by-step explanation:
To find m<C: Since the triangles are equal, we know that (4x+10) is equal to 90. Then when you put them equal to each other and solve for x you get X=20. Then all you have to do is plug that x value (20) into the equation for the angle of C (x+11). Then you get that C=31 degrees.
Admission to a school play costs BD 12.50 . Form an inequality and solve it to find the maximum number of tickets Aslam can buy with BD 250. *
a) 18
b) 20
C) 22
Answer:
Step-by-step explanation:
C) 22
How many cups of whole wheat flour are required to make 35 biscuits?
Answer:
8 baby
Step-by-step explanation:
Great Free Practice Problems
(these problem is all "find the number" problems)
1. In a two-digit number, the tens digit is 5 less than the unit digit. The number itself is five more than three times the sum of its digits. What is the number?
2. The sum of digits of a two-digit number is 11. The reverse number is 9 greater than the original number. Find the reverse number.
3. The sum of the digits in a two-digit number is 14. If you reverse and double the original number, and then add the results to the original number, the sum is 222. Find the original number.
4. The unit digit of a two-digit number is four more than the then digit. If the number is doubled it will be q more than the reversed number. Find the number
5. In a three-digit number, the tens digit is the same as the hundreds digit. The ones digit of this number is equal to 1/3 of the sum of the other two digit. Find the number if the sum of all its digits is equal to 24
6. In a two-digit number, the units digit is six less than three times the tens digit. Four times the unit digit minus five times the tens digit equals 11. Find the digits.
Please answer all the problems ;)
Answer:
1) 38
2) 56
3) 86
4) 37
5) 6 i think
6) 93
Step-by-step explanation: sorry if any of these are wrong
Answer:
The answer is 38. Sorry if it's wrong.
4.(03.06) Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1). O y + 3 = -5(x - 2) Oy - 2 = -5(x + 3) Oy+3 = - ] (x - 2) Oy-2=-****
Answer:the answer is D y-2= 1/5(x+3)
Step-by-step explanation:I took the test
y-2=-1/5(x+3) is the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-3, 2) and (2, 1)
m=1-2/2+3
=-1/5
So slope is -1/5.
Now let us find the point slope form
y-y₁=m(x-x₁)
y-2=-1/5(x+3)
Hence, y-2=-1/5(x+3) is the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).
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Please help
Picture inserted
Multiple choice
Will appreciate it if u help!
Answer: B) Linear; it can be written as y = -3x-6
We subtract 6 from both sides to go from the original equation to -3x-6 = y
Then we flip both sides to end up with y = -3x-6
This is in slope intercept form y = mx+b with m = -3 as the slope and b = -6 as the y intercept.
Jenny and Chris share some prize money in the ratio 2:4. The prize money totaled $3000. How much did Chris win?
Help please need it today
Write an equation in slope-intercept form for each table below.
Show how you found the slope and Y-intercept
Answer:
i. y=2x
ii. y=x+6
iii. y=-2x-6
iiii. y=-4x+3
iiiii. y=4x-3
Step-by-step explanation:
You can find the slope of the line by putting y2-y1/x2-x1
All you have to do is choose 2 points. Y2 is the second number y and x2 is the second number x. Y1 is the first number y and X1 is the first number X. To find y-intercept you look on the table and see where X is 0 and Y is any number that is the y-int. For example 5 there is no X=0 on the table so you put it in the point slope formula which is y-y1=m(x-x1) where you use the points from the slope. You multiply m to x and m to x1 where you will end up with y-y1=mx+mx1 then you add the y1 to mx1 where you will get the y intercept
A circle with a 32 inch diameter has a central angle that intercepts an arc measuring approximately 75.36 centimeters. Which option describes how to determine this angles measure in radians?
A. Divide 75.36 by 16
B. Divide 75.36 by 32
C. Divide 16 by 75.36
D. Divide 32 by 75.36
Complete Question
A circle with a 32 inch diameter has a central angle that intercepts an arc measuring approximately 75.36 inches. Which option describes how to determine this angles measure in radians?
A. Divide 75.36 by 16
B. Divide 75.36 by 32
C. Divide 16 by 75.36
D. Divide 32 by 75.36
Answer:
A. Divide 75.36 by 16
Step-by-step explanation:
The formula for Arc length is given as:
S = r θ
Where S = arc length
r = radius
We are told that:
Diameter of a circle = 32 inches
Radius of a circle = Diameter/2
= 32/2 = 16
Arc Length = 75.36 centimeters
The formula for Central angle =
θ = Central angle
θ = S/r
= 75.36/16
Option A is correct
The correct answer is option A. which is Divide 75.36 by 16
What is a circle?
A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The formula for Arc length is given as:
S = r θ
Where S = arc length
r = radius
We are told that:
Diameter of a circle = 32 inches
The radius of a circle = Diameter/2
r = 32/2 = 16
Arc Length = 75.36 centimeters
The formula for Central angle =
θ = Central angle
θ = S/r
θ= 75.36/16
Therefore the correct answer is option A. which is Divide 75.36 by 16
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Julie bought a shirt for $35.00, a purse for $27.00 and a belt for $13.00. When the cashier rang up her total, she discovered everything was on sale for 30% off. What was Julie's total with the sale price?
Answer: 52.5
Step-by-step explanation:
35 dollars 30% off is $24.5, 27 dollars 30% off is $18.90, and 13 dollars 30% off is $9.10 so all together it equals 52.5.
When discordant pairs exceed concordant pairs in a P-Q relationship, Kendall's tau reports a(n) ________ association between the variables under study.a. positive.
b. weak.
c. negative.
d. strong.
e. inverse.
Answer:
a. positive.
Step-by-step explanation:
Matching and discordant pairs are used to describe the relationship between pairs of observations. To calculate matched and discordant pairs, data is treated as ordinal values. Therefore these are suitable for your application. The number of concordant and discordant pairs is used in Kendall's tau calculations, whose purpose is to determine the relationship among two ordinal variables.
If the direction of the classifications is the same, the pairs are concordant.
A pair of observations is discordant, suppose the subject being with an increased value on one variable is lower on the other.
SO; When discordant pairs exceed concordant pairs in a P-Q relationship, Kendall's tau reports a(n) positive association between the variables under study.
A number increased by 4 is no more than -18.
Answer:
n+4≤-18
This might be it