Answers
Related Questions
Rewrite 20/6 as a mixed number.
Answers
20/6 = 3 R2 = 3
Thus, 3 is our whole number that resides next to the fraction.
Now take this number, multiply it by the denominator, and subtract this value from the numerator: 20 - 3(6) = 2. This is the numerator of the fraction in our mixed number.
Now simply add the denominator under this new numerator and place the three next to this fraction: 3 2/6.
The improper fraction number 20/6 is converted into a mixed fraction number as 3 ¹/₃.
What is the mixed fraction number?The mixed fraction number is the combination of the whole number and the proper fraction number. In a proper fraction number, the numerator is smaller than the denominator.
The improper fraction is 20/6.
Convert the improper fraction into a fraction number.
⇒ 20 / 6
⇒ 10 / 3
⇒ (9 + 1) / 1
⇒ 9/3 + 1/3
⇒ 3 ¹/₃
The improper fraction number 20/6 is converted into a mixed fraction number as 3 ¹/₃.
More about the mixed fraction number link is given below.
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Select the correct product. ( a + 8)( b + 3)
ab + 8 a + 3 b + 24
ab + 3 a + 8 b + 24
11 ab
24 ab
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ab + 3a + 8b + 24
i hope this helps :)
Answer:
ab + 3 a + 8 b + 24
Step-by-step explanation:
just did this question
Factor completely x^2 + 16.
(x + 4)(x + 4)
(x + 4)(x − 4)
Prime
(x − 4)(x − 4)
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Add. (−x^3 + 26x^2 − 7x−13) + (6x^4 − x^3 + 8x+27) Express the answer in standard form. Enter your answer in the box.
Answers
hope this helps
Look at some real estate want ads in your newspaper. Enter the price of a two-bedroom home and a three-bedroom home. If you find some abbreviations you do not understand, ask your teacher.
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3 Bedroom house for $122,900, 1610 square feet
3 Bedroom house for $129,000, 1460 square feet
2 Bedroom house for $72,500, 1,230 square feet
2 Bedroom house for $89,700, 1,350 square feet
You have two accounts with balances $450 and $35. you want to bring up the balance in the second account but do not want the balance of the first to drop below $215. how much can you transfer from the first to the second account?
a.$35
b.$215
c.$235
d.$450 submit
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$450 - $215= $235
You can transfer $235.
The answer is C) $235.
Hope this helps! :)
what are the values of x and y?
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we have that
cos(alfa) triangle ABD=12/y
and
cos(alfa) triangle ABC=y/28
then
12/y=y/28----------> y²=12*28=336----------> y=√336=4√21
y=4√21
applying the Pythagorean theorem triangle ABC
(16+12)²=x²+y²----------? x²=28²-(4√21)²--------> x²=784-336
x=√448=8√7
the answer is
x=8√7
y=4√21
distance between 1,3 and -3, -1
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If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?
A. 5,3
B. 4,5
C. 5,5
D. 4,3
Answers
D. (4,3)
Explanation:
The endpoints of the line are given as (9,8) and (-1,-2)
1- Computing the x-coordinate of the midpoint:
Xmidpoint = (x1+x2) / 2 = (9+-1)/2 = 8/2 = 4
2- Computing the y-coordinate of the midpoint:
Ymidpoint = (y1+y2) / 2 = (8+-2) / 2 = 6/2 = 3
Based on the above, the midpoint is (4,3)
Hope this helps :)
What is the absolute value of -4-2i
Answers
All absolute value is asking is how far away it is from zero.
A book is in the shape of a right rectangular prism. It measures 812 inches tall, 7 inches wide, and 212 inches thick.
What is the volume of the book?
a 4712 in³
b 8012 in³
c 14834 in³
d 17912 in³
Answers
the Volume of a prism=a*b*c
a----> tall--------> 8 1/2 in=8.5 in
b-----> wide-----> 7 in
c-----> thick-----> 2 1/2 in=2.5 in
therefore
V=8.5*7*2.5=148.75 in³------------equal a 148 3/4 in³
the answer is the option c 148 3/4 in³
Joseph squares a number and subtracts 8 from the answer. He then divides this result by 7. Finally he adds 12 and the result is now 20. What was Joseph's original number?
Answers
[tex]( {x}^{2} - 8) \div 7 + 12 = 20[/tex]
[tex]( {x}^{2} - 8) \div 7 = 8[/tex]
[tex]( {x}^{2} - 8) = 56[/tex]
[tex] {x}^{2} = 64[/tex]
[tex]x = \sqrt{64} \: \: \: \: \: x = - \sqrt{64} [/tex]
[tex]x = 8 \: \: \: \: \: x = - 8[/tex]
Final answer:
We use reverse operations to solve Joseph's equation and find that the original number could have been either 8 or -8.
Explanation:
The question asks us to determine Joseph's original number based on a series of mathematical operations. We can set up an equation to represent the problem statement: let x be the original number. The sequence of operations given is:
Square x and subtract 8.
Divide this result by 7.
Add 12 to the result from step 2.
The final result is 20.
Representing this mathematically: ((x2 - 8) / 7) + 12 = 20. To find x, we need to work backward through these operations:
Subtract 12 from both sides: ((x2 - 8) / 7) = 8.
Multiply both sides by 7: x2 - 8 = 56.
Add 8 to both sides: x2 = 64.
Take the square root of both sides: x = 8 or x = -8 (considering both positive and negative square roots).
Therefore, Joseph's original number could have been either 8 or -8.
If two sets are negatively correlated, as the values in one of the sets increase, the values in the other set tend to
decrease
stay the same
increase
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If two sets are negatively correlated, as the values in one of the sets increase, the values in the other set tend to decrease.
What is the correlation of the sets?For a message to be processed by a certain orchestration, a correlation set specifies a collection of qualities and values for these properties. A maximum of three parameters are supported by each correlation set.
If two sets are negatively correlated, as the values in one of the sets increase, the values in the other set tend to decrease.
This means that there is an inverse relationship between the two sets, such that when one variable increases, the other variable tends to decrease.
This type of correlation is often expressed by a negative correlation coefficient,
which ranges from -1 to 0, with -1 indicating a perfect negative correlation.
Learn more about the correlation of the set here:
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"if a six sided dice is rolled 2 times. what is the probability of obtaining a 2"
Answers
2/6 because there's less than half a chance to get 2 on a six-sided dice.
hope this helps
fitness center currently has 320 members. Monthly membership fees are $45. The manager of the fitness center has determined that each time the membership fees increase by $5, approximately 10 members leave and go to a different gym.
Write an equation that can be used to find the revenue of the fitness center in dollars, y, after x price increases of $5.
y = -50x2 + 1,150x + 14,400
y = -50x2 + 3,425x + 14,400
y = -50x2 + 2,975x + 14,400
y = -50x2 + 2,050x + 14,400
Answers
y = -50x2 + 1,150x + 14,400 - This one seems to be the closest to the answer
Answer:
y= -50x^2+1,150x+14,400
Step-by-step explanation:
fitness center currently has 320 members. Monthly membership fees are $45. The manager of the fitness center has determined that each time the membership fees increase by $5, approximately 10 members leave and go to a different gym.
LEt x be the number of price increases of $5
y is the revenue
Revenue= membership fee * members
for x number of increase in fee by 5 then member ship fee becomes 45+5x
approximately 10 members leave, so members becomes (320-10x)
y = (45+5x) (320-10x)
Multiply it using FOIL method
y=45 * 320 +45*(-10x) + 5x * 320 + 5x * (-10x)
y=14400 - 450x + 1600x - 50x^2
Combine like terms
y= -50x^2+1150x+14400
Find the supplement of the complement of a 51 degree angle
Answers
Supplementary = 180 degrees
Compliment of 51:
90 - 51 = 39 degrees
Supplement of 39:
180 - 39 = 141 degrees
The supplement of the compliment of a 51 degree angle is 141 degrees.
Jason's insurance company pays for 80% of the cost of an ambulance ride, after he pays a $200 deductible. The ambulance ride costs $1200.
How much wold Jason pay for an ambulance ride?
A) 200
B) 240
C) 400
D) 440
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The pair of values below is from an inverse variation. Find the missing value.
(4,14), (10,y)
Answers
x1y1 = x2y2
Now you just have to plug in the information.
4 x 14 = 10 x y2
What do you do now? You isolate the variable, y2. You do this by dividing y2 by the number it is multiplied.
Like this: [tex] \frac{y2}{10} [/tex]
As we all know, what you do to one side you must do to the other. But before you do that, you need to multiply the 4 by the 14.
4 x 14 = 56
Now you can divide by 10.
[tex] \frac{56}{10} [/tex]
The answer should be 5.6. Hopefully this helped!
Paula ran 24 foot with the football and then passed it 15 feet to newt. Newt ran 70 yards for a touchdown. What was the total number of feet the ball traveled?
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70 yards = 210 feet
210 + 39 = 249
The ball traveled a total of 249 feet.
factor the trinomial x^2+6x-16
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-16 = -1(16) or 16(-1)
-16 = -2(8) or 8(-2)
-16 = -4(4) or 4(-4)
Out of these 6 possibilities, the only one that sums to 6 is 8(-2), because 8+(-2)=6.
This gives us the factors (x+8)(x-2).
What pair of numbers has the geometric mean of 44
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so 16×121 = 1936
so the pair is 16 and 121
The possible pair of numbers that has the geometric mean of 44 is 16 and 121 and this can be determined by using the concept of geometric progression.
Given :
The geometric mean of 44.
The following steps can be used in order to determine the pair of numbers that has the geometric mean of 44:
Step 1 - The concept of geometric progression can be used in order to determine the pair of numbers that has the geometric mean of 44.
Step 2 - Let the two numbers be 'a' and 'b'.
Step 3 - According to the given data, the geometric mean of 44, that is:
[tex]\rm \sqrt{ab} = 44[/tex]
Step 4 - Simplify the above expression.
ab = 1936
Step 5 - So, the possible pair of numbers that has the geometric mean of 44 is 16 and 121.
For more information, refer to the link given below:
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Choose the correct simplification of the expression a to the 7th power times b to the 8th power all over a to the 4th power times b to the 4th power
Answers
(a^7b^8)/(a^4b^4)
According to the rules of indices, when you divide numbers with the same base, it's the same as subtracting their powers. Hence we shall have:
(a^7b^8)/(a^4b^4)
=(a^(7-4))(b^(8-4))
=a^3b^4
the answer is a^3b^4
A shop sells three types of boots (football, rugby and hiking). Sales are usually in the ratio 6 : 2 : 3 last month, 24 pairs of football boots were sold. How many boots altogether were sold last month?
Answers
Answer:
Total number of boots sold = 44
Step-by-step explanation:
Ratio of football, rugby and hiking boots sold = 6 : 2 : 3
24 pairs of football boots were sold.
That is
6 n = 24
n = 4.
Number of rugby boots sold = 2 n = 2 x 4 = 8
Number of hiking boots sold = 3 n = 3 x 4 = 12
Total number of boots sold = 6n + 2n + 3n = 11n = 11 x 4 = 44
Total number of boots sold = 44
Letter grades earned by a particular student in history class.
a. qualitative/nominal
b. qualitative/ordinal
c.quantitative/continuous
d.quantitative/ discrete
i think the answer is d
Answers
Special-effects artists often use scale models.the actual height of a velociraptor is estimated to have been approximately 2 ft.an artist draws the dinosaur with a height of 4 in. on paper.
a. what would be an appropriate scale for a model of the velociraptor?
b. the same scale is used for a model of a tyrannosaurus, whose actual height was 16 ft.what is the height of the model?
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part A)
[scale]=[model height]/[actual height]
[scale]=[4 in]/[2 ft]=2 in/ft
that means
(2 in) in the model is -------------> (1 ft) in the actual
part B)
[actual height]=16 ft [model height]=? [scale]=2 in/ft
[scale]=[model]/[actual height]
[model height]=[scale]*[actual height]
[model height]=[2]*[16]=32 in
the answer part B) is 32 in
the graph that represents 4 ≤ x
Answers
Answer:
Refer attachment.
Step-by-step explanation:
Given: Equation as 4 ≤ x
We have to plot the graph for that represents the given equation 4 ≤ x.
Consider the given equation 4 ≤ x.
It can be read as x takes values which is greater than and equal to 4.
So, the graph of this equation 4 ≤ x is given as shown below.
An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder, as shown below:
Hourglass with sand measuring 47 millimeters high
© 2011 Jupiterimages Corporation
Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass is 47 millimeters. The radius of both the cylinder and cone is 4 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?
A(6.4)
B(62.4)
C(8.5)
D(56.0)
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V=π(4²)(35)=560π mm³.
The volume of a cone is given by the formula V=1/3πr²h². In this instance, r is 4 and the height is 12 mm.
V=1/3π(4²)(12)=π(1/3)(12)(4²)=π(4)(4²)=64π mm³.
This gives a total volume of 560π+64π=624π mm³ of sand.
Since the sand goes down to the bottom at a rate of 10π mm³/second, it will take 624π/10π=62.4 seconds for the sand to all drain out.
Answer:
62.4
Step-by-step explanation:
−12.7=y−3.4
Can you guys please help me solve this. Thanks!
Answers
[tex]-12.7 = y-3.4 [/tex]
From here, we must clear the value of y.
For this, we follow the following steps:
1) we add 3.4 on both sides of the equation:
[tex]-12.7 + 3.4 = y-3.4 + 3.4 [/tex]
2) We rewrite the right side of the equation:
[tex]-12.7 + 3.4 = y + 0 -12.7 + 3.4 = y[/tex]
3) We do the algebraic sum of the left side of the equation:
[tex]-12.7 + 3.4 = y -9.3 = y[/tex]
Therefore, the solution of the equation is:
[tex]y = -9.3 [/tex]
Answer:
y = -9.3
A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism? Enter your answer as a simplified mixed number or a decimal
Answers
The volume of a rectangular prism is:
[tex]V=l*w*h[/tex]
Where
l=lenght,
w=width
h=height
So, as this prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches, the volume is calculated as follows:
[tex]V=l*w*h=312 in*5 in*112 in=174 720 inches^3[/tex]
The temperature on Saturday was 6 1/2 °C. On Sunday, it became 3 3/4 °C colder. What was the temperature on Sunday?
Answers
Answer:
The temperature on Sunday was 2.75 degrees Celsius.
Step-by-step explanation:
The temperature on Saturday was = [tex]6\frac{1}{2}[/tex] or 6.5 degree Celsius
The temperature on Sunday became [tex]3\frac{3}{4}[/tex] or 3.75 degrees colder.
When the temperature falls of it gets colder, this means the new temperature is less than the previous one. The lower the temperature, the more colder it is.
So, in the question, the temperature gets colder by 3.75 degrees, so the temperature must have been = 6.5-3.75 = 2.75 or [tex]2\frac{3}{4}[/tex] degrees Celsius.
Therefore, the temperature on Sunday was 2.75 degrees Celsius.