The ratio of blue hats to red hats IS 3:2 , the ratio of the blue hats all hats is 3:5 and If the store purchased 45 hats, 27 hats were blue
The ratio of blue hats to red hats is 9:6, which can be simplified to 3:2
Therefore the ratio of blue hats to red hats is 3: 2
The total number of hats is the summation of blue hats and red hats = 9+6= 15
So, The ratio of blue hats to all hats is 9:15, which can be simplified to 3:5
Therefore the ratio of blue hats to red hats is 3: 5
If the store purchased 45 hats, and we need to find out the number of blue hats
We have to assume the number of blue hats be x
Then the ratio becomes x: 45::3:5
We can also write this as
X= 3a and 45= 5a
The value of a comes out to be 9
So the number of blue hats purchased in the lot is 3a= 3 9 = 27
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If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?
Suppose $2000 is deposited in a bank account with an annual compound interest rate of 3%. After two years, we will have accumulated 121.80 in interest on your initial 2000 deposit.
What is compound interest?Compound interest is, to put it simply, interest that is earned on interest. Compound interest is interest that is earned on both the initial principal and interest that builds up over time in a savings account.
There may be a difference in the timing of when interest is paid out and compounded. For instance, interest on a savings account may be paid monthly but compounded daily. The account balance plus any interest that has accrued but has not yet been paid out are used by the bank to determine your daily interest earnings.
For the above question:
Account Balance = Principal x (1 + interest rate (decimal))^number of the years. With given information this is: [tex]2000 (1.03)^2[/tex] = 2,121.80. So we will earn 121.80 in interest after the 2 years on your original 2000 deposit.
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A ball is dropped from a window and takes 2 seconds to reach the ground. it starts from rest and reaches a final speed of 20 m/s. what is the ball's acceleration?
Acceleration of the ball is 10 [tex]m/s^{2}[/tex].
The relation between initial velocity , final velocity , acceleration and time can be written as,
v = u + at
Here, v is the final velocity, u is the initial velocity, a is the acceleration and t is the time
Time taken by ball to reach the ground = t = 2 seconds.
As it starts from rest , initial velocity of ball = u = 0 m/s.
Final velocity of ball = v = 20m/s.
v = u + at equation 1
Put value of v = 20m/s , u = 0m/s and t = 2 seconds in equation 1.
(20m/s) = (0 m/s) + a (2 second)
a = ( 20m/s )/( 2second )
a = 10 [tex]m/s^{2}[/tex]
Acceleration of the ball is 10 [tex]m/s^{2}[/tex].
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A box contains 8 red marbles, 4 white marbles, and 6 blue marbles. if a marble is randomly selected from the box, what is the probability that it is red? express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
The probability of selecting red marble is 0.444.
Probability is calculated using the formula :
Probability = number of favourable outcomes ÷ total number of outcomes
Number of favourable outcomes = number of red marbles in box
Number of favourable outcomes = 8
Total number of outcomes = total number of marbles
Total number of outcomes = 8 + 4 + 6
Total number of outcomes = 18
Keep the values in formula of probability to find the probability of selecting red marble
Probability = 8 ÷ 18
Performing Division by 2
Probability = 4/9
Representing in decimal round to three decimal places = 0.444
Hence, the probability of selecting red marble is 0.444.
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What is the geometry around the central atom in the tert-butyl anion? a molecule with smiles string c[c-](c)c trigonal pyramidal bent trigonal planar trigonal bipyramidal t-shaped
The correct option is "trigonal pyramidal"
The geometry around the central atom in the tert-butyl anion is trigonal pyramidal.
What is tert-butyl anion?The third form has three carbons single bonded to a fourth carbon in the center, and the rest of a molecule is connected to the center carbon. In common parlance, this configuration is known as t-butyl or tert-butyl.
Some key features regarding the trigonal pyramidal are-
Trigonal planar is one molecular geometry that occurs if there are three bonds but no lone pairs in the molecule's central atom. The pairs have been arranged in a 120-degree angle along the central atom's equator. Sp²d hybridization occurs at the central atom of molecules with this geometry. This is the geometry of a tert-butyl radical's central carbon atom.To know more about trigonal pyramidal, here
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Identify the function family to which f(x)=x+3 belongs. a. constant b. linear c. absolute value d. quadratic
Answer:
quadratic
Step-by-step explanation:
please help need the answer fast
Answer:
g = 7
Step-by-step explanation:
the first thing you must do is combine like terms
10g - 7g is also just 3g
3g - 3 = 18
now add 3 to both sides
3g = 21
now divide everything by 3
g = 7
that is your answer
mrs adams buys 4 bannanas and 6 apples tell whether each statement is true or false
Answer:
The statement is false!Step-by-step explanation:
Since 4 bananas + 6 apples = 10 total fruit, the ratio of apples to total fruit is 6 to 10.i genuinely can't seem to understand how to do these equations,i have issues comprehending math due to autism,please include the full work so i can help understand it,I would like assistance please.
Answer:
Step-by-step explanation:
Multiply the figure outside the bracket with each figure inside the bracket, and also be cautious of the signs.
1) -5(x + 2)
= -5x - 10 (multiply -5 with x and then multiply it with +2)
3) 7(1-9x)
= 7 - 63x (multiply 7 with 1 then multiply it with 9x)
5) 9(8 - 8a)
= 72 - 72a (multiply 9 with 8 then multiply it with 8a)
7) 4n - 7n
= -3n (subtract the numbers only, as both are being multiplied with n, they can be subtracted)
9) n - 2 + 6
= n + 4
please help i cant do it rn
Answer:
2/35
Step-by-step explanation:
Given that,
→ (6/7) - (4/5)
Let's solve the problem,
→ (6/7) - (4/5)
→ (30/35) - (28/35)
→ (30 - 28)/35
→ 2/35
Thus, the answer is 2/35.
PLEASE HELP I DONT EVEN CARE HOW YOU SOLVED IT AS LONG AS ITS CORRECT
Answer:
Step-by-step explanation:
At a circus, tickets cost $6.75 per person. a family of four spent $73.00 on tickets and food. if each person spent an equal amount on food, how much did each person spend on food?
Answer:
$11.50
Step-by-step explanation:
6.75 times 4 is 27
$73-27 is 46
46 divided by 4 is 11.5
Answer:
$11.50
Step-by-step explanation:
Total spent = Food + Tickets
The cost of the tickets times the number of people
6.75 x 4 = $27.00 for tickets
then the total number of dollars spent in total subtracted by the amount for tickets
73 - 27 = $46 for food
$46 / 4 people = 11.50
So each person spent 11.50 on food.
whats 1+1 because im scared
Answer:
2 i think
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
You have 1 item. You have another item. That means you have 2 items.
Solve the math problem
1) A heart is equal to 5 units, a star to 13 units and a square to 20 units.
2) A star is equal to 66 units, a circle to 30 units and a triangle to 14 units.
How to solve a system of symbols by abstract thinking
Herein we find two case of systems of elements which have to be solved on the fact that each element represents a quantity. Now we proceed to represent each system:
Case 1
x - Heart
y - Star
z - Square
The algebraic representation of the system is shown below:
18 - x = y (1)
2 · x = 10 (2)
z - y - 2 = x (3)
By (2):
x = 5
By (1):
y = 18 - 5
y = 13
By (3):
z = x + y + 2
z = 5 + 13 + 2
z = 20
Case 2
x - Triangle
y - Star
z - Circle
The algebraic representation of the system is shown below:
2 · x = 28 (1)
80 - x = y (2)
y + x - z = 50 (3)
By (1):
x = 14
By (2):
y = 80 - 14
y = 66
By (3):
z = y + x - 50
z = 66 + 14 - 50
z = 30
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The phenomenon that the sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large is called:______.
The phenomenon that the sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large is called: Central Limit Theorem.
What is Central Limit Theorem?The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.
Now,
As stated in the definition of the Central Limit Theorem, sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large with the help of the stated theorem.
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The population of a small country is 2.437 million and its national debt is $6.39 billion. What is the amount of debt per person? Round to the nearest whole number.
By taking the quotient between the total debt and the number of people, we conclude that the debt per person is $2,622
What is the amount of debt per person?
To find the amount of debt per person, we need to find the quotient between the total amount of debt and the number of people.
Here the total debt is:
$6.39 billion = $6.39*10^9
And the total number of people is:
2.437 million = 2.437*10^6
Then the quotient is:
Q = ($6.39*10^9)/( 2.437*10^6) = $2.622*10^3
The debt per person is:
Q = $2.622*10^3 = $2,622
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HELP ME WITH A. AND B. PLEASE!!!
Answer:
Step-by-step explanation:
A: The denominator doubles every step.
B: 1/16 1/32 1/64
Find the value of sin 20.Hence,state the value of sin 340
The value of sin 20 and sin 340 is 0.3420 and -0.3420 respectively
What is quadrant?
Each of the coordinate plane's four portions is referred to as a quadrant. In the first quadrant, all trig functions—sin, cos, tan, sec, csc, and cot—are positive. The second quadrant of sine has a positive value. Tangent in the third quadrant is positive. A positive cosine is present in the fourth quadrant.
Sin(20°)
20° is in the first quadrant. In quadrant 1, every trigonometric function is positive..
Sin(20) = 0.3420
Sin(340°)
340° is in the forth quadrant. The sin is minus in quadrant 4.
Sin(340) = -0.3420
Therefore, the value of sin 20 and sin 340 is 0.3420 and -0.3420 respectively
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What is the x -the value of the ordered pair (0, 4)?
Answer: the x value of the ordered pair is 0
36 divided by 1/4 in words to match the expression?
Step-by-step explanation:
36 multiple 4 it is equivalent to what you say
The city parks and recreation department has announced that it will have a swimming class if at least 24 people register for the class. So far, 9 people have registered. At least how many more people must register for the swimming class to be held?
In the city parks and recreation department has announced at least many more 15 people must register for the swimming class.
The city parks and recreation department has announced that it will have a swimming class, there are at least 24 people register for the class.
It is possible to register 9 people in each class.
Based on the given conditions, formulate,
⇒ least people registered for the class - far people have registered
So, we can write,
⇒ 24 - 9
Calculate the sum or difference,
⇒ 15 people
Therefore, At least many more people must register for the swimming class to be is equal to 15 people.
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Dave harvests eggs on his farm. He needs 3 more eggs to make 7 groups of 12 eggs each. Let e repres
number of eggs he has now.
Which equation can be used to find the number of eggs that Dave has now?
Answer:
e=7(12)-3
Step-by-step explanation:
Because he needs three more to have 7 groups of 12 (7x12=84) so he has three less than the 7 groups of 12 he needs (84). So subtract 3 from that.
Find the value of LK
Answer:
LK = 7
Step-by-step explanation:
We are using segment addition
NM + ML + LK = NK
x-6 + 9 + 2x-19 = 23
Combine like terms
x+2x -6+9-19 = 23
3x -16 = 23
Add 16 to each side
3x-16+16 = 23+16
3x = 39
Divide each side by 3
3x/3 = 39/3
x = 13
We want to find the value of LK
LK = 2x-19
=2(13) -19
= 26 -19
= 7
Answer:
[tex]\sf \: LK = 7 \: units[/tex]
Step-by-step explanation:
It's clear that,
[tex] \sf \: NM + ML + LK = NK[/tex]
Given that,
NM ---> x - 6
ML ---> 9
LK ---> 2x - 19
NK ---> 23
First, let us find the value of x using these values.
[tex] \sf \: NM + ML + LK = NK \\ \sf x - 6 + 9 + 2x - 19 = 23 \\ \sf \: combine \: like \: terms. \\ \sf \: 3x - 16 = 23 \\ \sf3x = 23 + 16 \\ \sf3x = 39 \\ \sf \: divide \: both \: sides \: by \: 3. \\ \sf \: x = 13[/tex]
And now we have to find out the length of LK.
As we mentioned before,
LK = 2x - 19
So, to find the length of LK, we have to replace x with 13 and solve the equation.
Let us solve now.
[tex] \sf \: LK = 2x - 19 \\ \sf \: LK = 2 \times 13 - 19 \\ \sf \: LK = 26- 19 \\ \sf \: LK = 7 \: units[/tex]
Jessica had x books. Then she went to a book sale and bought 12 more books. Choose the
expression that shows how many books Jessica has now.
27. There were x birds on the tree. 22 of the birds flew away. Choose the expression that shows how
many birds are on the tree now.
28. John has y cookies. He splits them evenly among 13 bags. Choose the expression that shows how
many cookies are in each bag.
Answer:
x + 12
x - 22
y / 13
I'm not sure if this is the answer you're looking for since multiple choice answers weren't provided but i hope this helps at least a little!
what is the class width? what are the approximate lower and upper class limits of the first class?
Class width is 10.
Lower class limit is 100.
Upper class limit is 110 of the first class.
What is a histogram?A histogram is a visual depiction of data points arranged into ranges that the user has chosen. The histogram, which resembles a bar graph in appearance, groups numerous data points into comprehensible ranges or bins in order to compress a data series into an easily understood visual. In statistics, histograms are frequently used to show the frequency of a particular type of variable within a given range. Analysts can customize histograms in a number of different ways. They are able to alter the space between buckets. The sample given above has eight buckets with a ten-bucket spacing. Four buckets with a 20-second interval could be used instead.
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Jasmine is making more of the spray cleaner she only wants to use one cup of water how much of the spray cleaner will Jasmine make show your work
Jasmine will prepare 3/2 cups of the spray cleaner.
What is defined as the fractions?Fractions are represented in mathematics as a numerical value that defines a portion of a whole.
A fraction is a portion or segment of any quantity taken from the whole, which can be any number, a fixed number, or a thing.Every fraction has a numerator and a denominator isolated by a horizontal bar recognized as the fractional bar.The denominator represents the number of parts that the whole has been subdivided.The numerator specifies how many fractional sections are reflected or selected.For the given question;
Jasmine used 1 cup of water for the spray.
1/4 cups of white vinegar is used.
1/4 cups of alcohol is also used for the spray.
Then, the total cups of spray cleaner made is;
= 1 + 1/4 + 1/4
Taking LCM.
= (4 + 1 + 1)/4
= 6/4
= 3/2
Therefore, the total cups of spray cleaner prepared by the Jasmine is 3/2 cups.
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9/10 miles in 5 minutes how many miles in 1 minute
Answer:
in 5 minutes=9/10 miles
In 1 minutes= 9/10/5 miles
= 9/10*1/5
=9/50 miles
A dilation and a rotation of figure B resulted in figure B' shown below. (Show your work)
Using translation concepts, the correct statement is given by:
Figure B is similar but not congruent to Figure A.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Another format of a translation is a dilation, when the side lengths of the image are changed, hence:
The dilated figure is not congruent to the original figure.The dilated figure is similar to the original figure, as the angles are not changed.Hence the correct statement is:
Figure B is similar but not congruent to Figure A.
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Describe the sample variance using words rather than a formula. do the same with the population variance.
Sample variance is a term that be defined as the outcome of the squared difference of any given data points that is said to be obtained from the mean of the data set.
What is the sample variance?It is also known to be a form of an absolute measure of a dispersion and is known also to be used to examine the deviation of data points with regards to the data's average.
Population variance is a term that is defined as a measure of the de spread of population data.
Therefore, Sample variance is a term that be defined as the outcome of the squared difference of any given data points that is said to be obtained from the mean of the data set.
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Select all the correct answers.
The slope-intercept form of a line is y= mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is
4 and the line passes through the point (1,-8), which equation should he use to find the y-intercept and what is the y-intercept of the
line?
b = y + mx
O by- mx
=
b = y-m
b = -12
b = -4
b = 2
The equation that can be used to find the y-intercept of the line is
b = y - mx, and the y-intercept for this equation will be -12
In this question, It is given that a line passes through a given point (1,-8), and the slope of the line is given 4. We know the equation of Slope-point form : (y - y₁) = m(x - x₁), Where m = slope = 4 and (x1,y1) = (1,-8)
Now, putting these values into the slope-point form equation, We get :
=> (y - y₁) = m(x - x₁)
=> (y - (-8) = 4(x - 1) => (y +8) = 4x -4
=> y = 4x -12 ---> Equation (1)
We got the slope-intercept form for the following situation.
We can find out the y-intercept value by comparing the
=> y = mx + b to Equation (1).
=> b = -12
Hence, b = y - mx will be used to find out the y-intercept and the y-intercept for this line will be -12
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Find the measure of angle b
66°
b
The measure of angle is 24°.
We are given the two sides of the triangle as:
25 units and 10 units
Since the able that need to be found lies at 25 units side, the base side will be that only.
So, we get that:
Base side = B = 25 units
Perpendicular side = P = 10 units
We know that:
tan θ = P / B
tan θ = 10 / 25
tan θ = 2 / 5
θ = tan⁻¹ ( 2/ 5)
which will be approximately equal to
θ = 24°
Therefore, we get that, the measure of angle is 24°.
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Your question was incomplete. Please refer the content below:
Find the measure of the indicated angle to the nearest degree
a. 66
b. 22
c. 24
d. 68