Answer:
the estimate is an over estimate because 2.19 time 6 equals 13.14 and you sya 15 dollors so so it is an over estimate
Step-by-step explanation
i hope this helps i hate math
Find the supplement of the complement of a 51 degree angle
"if a six sided dice is rolled 2 times. what is the probability of obtaining a 2"
−12.7=y−3.4
Can you guys please help me solve this. Thanks!
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
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
Rewrite 20/6 as a mixed number.
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.
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distance between 1,3 and -3, -1
The temperature on Saturday was 6 1/2 °C. On Sunday, it became 3 3/4 °C colder. What was the temperature on Sunday?
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.
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
Factor completely x^2 + 16.
(x + 4)(x + 4)
(x + 4)(x − 4)
Prime
(x − 4)(x − 4)
How can you find the number of inches in 1 mile, show your work.
The value of number of inches in 1 mile is,
⇒ 15,096 inches
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
To find the number of inches in 1 mile.
Since, We know that;
1 mile = 1258 foot
And, 1 foot = 12 inches
Thus, The value of number of inches in 1 mile is,
⇒ 1258 x 12
⇒ 15,096 inches
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what are the values of x and y?
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
Select the correct product. ( a + 8)( b + 3)
ab + 8 a + 3 b + 24
ab + 3 a + 8 b + 24
11 ab
24 ab
Answer:
ab + 3 a + 8 b + 24
Step-by-step explanation:
just did this question
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
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
the graph that represents 4 ≤ x
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.
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?
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
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
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]
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
The pair of values below is from an inverse variation. Find the missing value.
(4,14), (10,y)
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.
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?
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?
What is the absolute value of -4-2i
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
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)
Answer:
62.4
Step-by-step explanation:
factor the trinomial x^2+6x-16
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?
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
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.
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What pair of numbers has the geometric mean of 44
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.
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