Answers
7/3 / 1/4 = 7/3 x 4/1 = 28/3 = 9 and 1/3
b) 4 2/5 = 22/5
1 1/5 = 6/5
22/5 / 6/5 = 22/5 x 5/6 = 110/30 = 3 and 2/3
Related Questions
Find the product
54.88 x 7.3
Answers
If a pizza is cut into 8 pieces and 3 children each eat one piece, what fraction of the pizza is gone
Answers
hope it helps
please mark as brainliest i need one more
Find the area of A circle whose diameter is 8.3m round to the nearest tenth
Answers
8.3/2 = 4.15
R=4.15
4.15* 4.15 * 3.14 = 54.07
HOPE THIS HELPS
Answer:
the answer is 54.1
What is the shape of the following distribution?
{9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20}
negative skew
postive skew
symmetric
asymmetric with no skew
none of the above
Answers
On basis of this frequency table we can construct a histogram to visualize the data. The histogram is constructed and attached with. We can observe that the peak is at 4. There are fewer values on right side of the peak as compared to the left side of the peak. So more values tend to lie in left tail.
When there are more values in left tail we say that the data is left skewed or negatively skewed. So first option is the correct answer.
The distribution is positively skewed, as indicated by the longer tail on the right side of the dataset representing higher values.
The shape of the distribution for the dataset {9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20} can be determined by looking at the tail of the distribution. Since the values gradually increase and then have a longer tail towards the higher numbers (with the largest values occurring less frequently), we can identify this as a positively skewed distribution. The distribution does not display symmetry, and the tail extends more significantly to the right, which is indicative of a positive skew. This is because the bulk of the data is located on the left side (lower values), while the right side (higher values) stretches out longer due to the presence of outliers or a gradual decrease in frequency.
Which equations represent hyperbolas?
Answers
1. Common view of hyperbola equation is:
[tex] \frac{x^2}{a} - \frac{y^2}{b} =1 \ , where \ a,b-numbers[/tex]
2. hyperbolas are: 2x²+4x-5y²-10y+57=0 and -x²+12x+3y²+7y+11=0.
Answer:
The correct options are 2 and 5.
Step-by-step explanation:
The general form of conics is
[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]
This equation represents the hyperbola if
[tex]B^2-4AC>0[/tex]
compare the given equations with the general equation.
In option 1,
[tex]A=2,B=0,C=2,D=16,E=14,F=-9[/tex]
[tex]B^2-4AC=(0)^2-4(2)(2)=-16<0[/tex]
This equation does not represents a hyperbola.
In option 2,
[tex]A=2,B=0,C=-5,D=4,E=-10,F=57[/tex]
[tex]B^2-4AC=(0)^2-4(2)(-5)=40>0[/tex]
This equation represents a hyperbola.
In option 3,
[tex]A=-1,B=0,C=-7,D=5,E=2,F=-81[/tex]
[tex]B^2-4AC=(0)^2-4(-1)(-7)=-28<0[/tex]
This equation does not represents a hyperbola.
In option 4,
[tex]A=0,B=0,C=-2,D=1,E=4,F=15[/tex]
[tex]B^2-4AC=(0)^2-4(0)(-2)=0[/tex]
This equation does not represents a hyperbola.
In option 5,
[tex]A=-1,B=0,C=3,D=12,E=7,F=11[/tex]
[tex]B^2-4AC=(0)^2-4(-1)(3)=12>0[/tex]
This equation represents a hyperbola.
Therefore the correct options are 2 and 5.
Janice really likes potatoes. potatoes cost $0.50 per pound, and she has $5.00 that she could possibly spend on potatoes or other items. suppose she feels that the first pound of potatoes is worth $1.50, the second pound is worth $1.14, the third pound is worth $1.05, and all subsequent pounds are worth $0.30. instructions: enter your answers as whole numbers.
a. how many pounds of potatoes will she purchase?
b. what if she only had $3.00 to spend?
Answers
Janice will purchase 4 pounds of potatoes if she has $5.00. If she only has $3.00 to spend, she will purchase 3 pounds of potatoes.
Explanation:To determine how many pounds of potatoes Janice will purchase, we need to subtract the cost of each pound of potatoes from her total budget until she no longer has enough money to purchase another pound. Let's go step by step:
Janice has $5.00 and the first pound of potatoes costs $1.50. After purchasing the first pound, she will have $5.00 - $1.50 = $3.50 left.
The second pound of potatoes costs $1.14, so she can buy the second pound and have $3.50 - $1.14 = $2.36 left.The third pound costs $1.05, so she can buy it and have $2.36 - $1.05 = $1.31 left.The fourth pound and any subsequent pounds cost $0.30 each. Since Janice has $1.31 left, she can afford $1.31 / $0.30 ≈ 4.37 pounds of potatoes.Therefore, Janice will purchase 4 pounds of potatoes.
If Janice only has $3.00 to spend, we can follow the same steps:
With $3.00, she can afford $3.00 / $0.30 = 10 pounds of potatoes. However, since the value of each pound decreases after the third pound, she can only purchase the first three pounds. The fourth pound would cost $0.30, but she doesn't have enough money left.Therefore, if Janice has $3.00 to spend, she will purchase 3 pounds of potatoes.
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Suppose the first class in a frequency table of quantitative data is 0 dash 40-4 and the second class is 5 dash 95-9. what is the class midpoint of the first class?
Answers
Answer:
4 + 0 = 4/2 = 2 would be the answer.
Step-by-step explanation:
Marla says that every number in nineties is composite. Jackie says that one number in the nineties is prime. Who is correct?
Answers
Answer:
Jackie, 91, 97 is prime.
Step-by-step explanation:
Remember that a number greater than 2 is NOT prime if it is divided by any number different than 1, for example 6 is NOT prime because 3 divides 6. 7 is prime because the only divisors of 7 are 1 and 7.
So for the nineties 90 is divisible by 45.
91 is divisible by 7
92 is divisible by 2
93 is divisible by 3
94 is divisible by 2
95 is divisible by 5
96 is divisible by 2
97 IS PRIME, is just divisible by 1 and 97
98 is divisible by 2
99 is divisible by 3
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
Answers
Answer:
the coefficient is -3
Step-by-step explanation:
In a right triangle, cosA=0.352 and sinA=0.936 What is the approximate value of tanA?
A- 0.329
B- 0.376
C-1.288
D-2.659
Answers
Answer:
tanA=2.6591
Step-by-step explanation:
[tex]tanA=\dfrac{sinA}{cosA} \\\\tanA=\dfrac{0.936}{0.352} \\\\tanA=2.6591[/tex]
550 is 5% of what number?
Answers
27.5 if you divide 550by 5% you get 27.5
All you have to do is turn the 5% into a number. This is done by moving the decimal place two places to the left (the decimal place, in THIS case, is the percent sign). You get .05
Now, simply divide. Yes, this is a tricky part. When dealing with whole numbers and decimals, multiplecation is quite useless for cases like this, it simply makes the number SMALLER. If you want to find out what the ORIGINAL number was, you DIVIDE.
So, 550/.05
You get 11,000
This is your original number. That means 550 is 5% of 11,000
To check this, NOW use the inverse, multiplication. 11,000*.05=550
Your answer is 11,000
Given: C is a point on the perpendicular bisector, l, of AB.
Prove: AC = BC
Answers
and also, what is C, where is it located? '
Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, BC. Using the definition of reflection, reflect BC over l. By the definition of reflection, C is the image of itself and A is the image of B. Since reflections preserve length, AC = BC.
Garys unpaid credit card balance is $2543.32. His APR is 17.4% qnd he made ine new transaction for $320 whats his new balance
Answers
Brook says there are 49 days until july 4 there are 7 days in a week in how many weeks will it be until july 4
Answers
7 weeks until July 4.
Calculating the Number of Weeks Until July 4
To determine in how many weeks it will be until July 4, given that there are 49 days left:
We know there are 7 days in a week.
We need to divide the total number of days by the number of days in a week.
The calculation is: 49 days ÷ 7 days/week.
Doing the division: 49 ÷ 7 = 7 weeks.
What is...a increased by 25%
Answers
Answer:
1..25a
Step-by-step explanation:
a + 25%·a = a(1 + 0.25) = 1.25a
_____
Comment on percentages
The symbol "%" is a shorthand way to write "/100", so 25% = 25/100 = 0.25.
Of course, 100/100 = 100% = 1.
Adding 25% of something to 100% of it gives 125% of it, the original amount multiplied by 125/100 = 1.25.
Answer:
1.25a
Step-by-step explanation:
a + 25%·a = a(1 + 0.25) = 1.25a
_____
Comment on percentages
The symbol "%" is a shorthand way to write "/100", so 25% = 25/100 = 0.25.
Of course, 100/100 = 100% = 1.
Adding 25% of something to 100% of it gives 125% of it, the original amount multiplied by 125/100 = 1.25.
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(4,7), (x,19); slope = 3 the pair points lies on the same line with the given slope. Find x
Answers
Slope is given by
m=3=(y2-y1)/(x2-x1)=(19-7)/(x-4)
solve for x
3=(19-7)/(x-4)
cross multiply
3(x-4)=12
3x-12=12
3x=12+12=24
x=8
bryan rides the bus to and from work on the days he works at the library in one month he rode the bus 24 times solve the equation 2x=24 to find the number of days bryan worked at the library
Answers
SSA triangle problems may have zero, one, or two solutions, true of false?
Answers
Answer:
True.
Step-by-step explanation:
We use law of sine to solve the triangle when two sides and angle (SSA) is given.There are different cases possible .
1) If a < b sin A.
In this case No possible triangles or we can say there will be zero solutions.
2) If a > b sin A.
In this case there are Two triangles possible.In such cases at least one of the solutions will be an obtuse triangle.
3) If a = b sin A.
We have Unique solution or one solution.This is true for a right triangle.
Hence the given statement SSA triangle problems may have zero, one, or two solutions is True.
Answer: true
Step-by-step explanation:
Ap3x
Which values of P and Q result in an equation with exactly one solution? Qx-6=Px-103
Answers
Answer:
For any value of P & Q except when both are equal , we get One solution of equation.
Step-by-step explanation:
Given: Linear Equation, Qx - 6 = Px - 103
This equation has exactly 1 solution.
To find: Value of P and Q
First we solve the linear equation for value of x,
Qx - 6 = Px - 103
Transpose Px to LHS ( Left hand side ) we get,
Qx - Px - 6 = -103
Transpose 6 to RHS ( Right hand side ) we get,
Qx - Px = -103 + 6
Qx - Px = -97
taking x common in LHS, we get
( Q - P ) x = -97
Traspose ( Q - P ) to RHS, we get
[tex]x=\frac{-97}{Q-P}[/tex]
[tex]x=\frac{-97}{-(P-Q)}[/tex]
[tex]x=\frac{97}{P-Q}[/tex]
Thus, we are get only 1 value of x but it exist if P ≠ Q
otherwise no solution exist for the given linear Equation.
Therefore, For any value of P & Q except when both are equal , we get One solution of equation.
what is 68% out of 25
Answers
so 68% out of 25 = 25* 68/100 =17
How many halves are in the following
12, 10, 13, 15,8 and 5
Answers
12*2=24
10*2=20
13*2=26
15*2=30
8*2=16
5*2=10
Can someone help me? Please show your work.
Answers
If we substitute in the values given in this problem, we get the expression:
2(2x+6) + 2(x)
Another equivalent expression we can use to express the perimeter is w + w + l + l.
If we substitute in the values given in this problem into this expression, we get:
x + x + 2x + 6 + 2x + 6
Overall, we know that these expressions are equivalent and represent the same value (the perimeter of the rectangle), because if you combine like terms, both expressions simplify to 6x + 12.
Hope this helps!
A political analyst predicts Mr. Smith will only get 122 votes for mayor. If Mr. Smith only gets 57 votes, what is the political analyst's percent error? Round your answer to the nearest tenth of a percent.
Answers
The political analyst's percent error is approximately 53.3%.
Explanation:To find the political analyst's percent error, we need to calculate the absolute difference between the predicted votes and the actual votes, divide it by the predicted votes, and then multiply by 100. The formula for percent error is:
Percent Error = (|Predicted Value - Actual Value| / Predicted Value) * 100
Plugging in the values, we have:
Percent Error = (|122 - 57| / 122) * 100
Calculating the difference: |122 - 57| = 65
Calculating percent error: (65 / 122) * 100 ≈ 53.3%
Therefore, the political analyst's percent error is approximately 53.3%.
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Calculate the noon sun angles for new orleans, usa and helsinki, finland on september 22. in the answer below, new orleans answer is listed first. refer to the notes on how to calculate noon sun angles. 36.5 degrees, 6.5 degrees 60 degrees, 30 degrees 83.5 degrees 53.5 degrees
Answers
On September 22, the sun’s rays form a 90° angle at noon at the equator.
Formula for calculating noon sun angle is:
Noon_sun_angle = 90° - Zenith angle
We have complementary angles so we need to substract zenith angle from 90°.
The zenith angle is the distance between subsolar point (point where sun is at 90°) and the latitude of an observer. In our case this angle will have same value as latitude because subsolar point is at equator 0°. If our latitude and subsolar point are at same hemisphere we substract values. Otherwise we add values.
New Orleans, USA
Latitude = 30°
Noon_sun_angle = 90° - 30° = 60°
Helsinki, Finland
Latitude = 60°
Noon_sun_angle = 90° - 60° = 30°
Answer:
60 degrees, 30 degrees
Explanation:
Sun angle = 90° - Zenith angle
On September 22, the sun passes over celestial equator. Equinox occurs.
Zenith Angle = Latitude of the place
Latitude of New Orleans, US = 29.95° ≈ 30°
Latitude of Helsinki, Finland = 60.95° ≈ 60°
Thus, the Sun angle at noon at New Orleans would be 90° - 30° = 60°
and at Helsinki, Finland would be 90° - 60° = 30°
A company invests a total of $40 comma 000 of surplus funds at two annual rates of interest: 5% and 6one half %. It wishes an annual yield of no less than 6one fourth %. What is the least amount of money that the company must invest at the 6one half % rate? The company should invest at least $ nothing at 6one half %.
Answers
We have that solving this, 5%* x+40000*6.5%-6.5%*x =6.25%* 40000 Accumulating terms, 1.5%*x=0.25%*40000 x=40000/6= 6666.67$. We see that if we invest 6666.67$ at 5%, we get exactly the given rate. If we invest more, we obviously get less. Hence, we have that the company has to invest at 6.5% more than 40000-6666.67=33333.33$
Manuel worked 5 days a week, and 6 hours each day. That week he earned $337.50. What was his hourly rate of pay?
Answers
Hope this helps!
♤MidnightQueen
Manuel's hourly rate of pay is calculated by dividing his total weekly earnings by the total hours he worked. He worked a total of 30 hours and earned $337.50, resulting in an hourly rate of $11.25.
The question asks us to calculate Manuel's hourly rate of pay based on the total amount he earned in a week and the number of hours he worked. To find the hourly rate, we need to divide the total earnings by the total number of hours worked.
Calculate the total number of hours worked in a week: 5 days a week times 6 hours each day equals 30 hours.
Divide Manuel's total earnings for the week by the total hours worked:
$337.50 divided by 30 hours equals an hourly rate of $11.25.
How to subtract 546 from 735
Answers
546
--------
72 15
54 6
----------
9
6 12 9
4
------
689
5
189
This is the answer
Several shapes are cut out of a piece of cardboard. Two squares of length x, five rectangles of length x and width y and two circles with radius z. The two squares and four of the rectangles are glued together to form a prism, and the two circles and the remaining rectangle are used to form a cylinder with height y. Which represents the combined volume of the two figures?
Answers
step 1
calculate the different volumes
a) Volume of prism square base=x*x*y=x²*y
b) Volume of the cylinder=π*(z²)*y
the combined volume of the two figures=[x²*y]+[π*z²*y]
the answer is [y*x²]+[π*y*z²]
The circumference of a circle is divided into twelve equal arcs. The measure of each arc is degrees.
Answers
If we divide the circumference into 12 equal arcs, each arc will have the following measure:
(360) / (12) = 30
Answer:
The measure of each arc is 30 degrees
The measure of each of the arc in degrees is:
30 degree
Step-by-step explanation:We know that the circle is a whole of 360 degrees.
Now when we divide the circumference of a circle into 12 equal arcs, then the measure of each arc in degrees is calculated as the ratio of the 360 degrees to the number of arcs it has been divided.
Hence, the measure of each arc in degrees is:
[tex]\dfrac{360}{12}=30[/tex]
Hence, the measure in degrees is:
30 degree
a used truck for $4,500 he made an agreement with the dealer to put $1,500 and make payments of 350 for the next 10 months that extra costs paid by taking this bill bill is equivalent to what actual yearly rate of interest
Answers
Making $350 for 10 months = 10*350 = $3500
Total amount paid = 1500 + 3500 = 5000
So an amount of $5000 was paid to cover the cost of $4500 within the ten month period.
I = PRT
Interest, I = 5000 - 4500 = 500Time, t = 10 months = 10/12 = (5/6) year.Principal P = 4500
R = I /(PT) R = 500 / (4500*5/6)
R = (500*6) / (4500*5)
R = 0.1333..
R ≈ 13.33 % per annum.