Answer:
d
Step-by-step explanation:
Three even numbers sum up to 108. The smaller is half the larger and the middle number is 3/4 the larger. What
are the three numbers
Answer:
Step-by-step explanation:
Represent the three even numbers as 2x, 2y, 2z, where x,y,z are integers.
2x+2y+2z = 108
x+y+z = 54
Let x≤y≤z
x = z/2
y = ¾z
z/2 + 3z/4 + z = 54
2z/4 + 3z/4 + 4z/4 = 54
2z + 3z + 4z = 216
9z = 216
z = 24
x = z/2 = 12
y = ¾z = 18
The numbers are 24, 36, 48
Ezra’s dad is building a cover for his sandbox. The sandbox is in the shape of a kite as shown.
A kite has a width of 6 feet and a height of 4 feet.’
What is the area of the sandbox cover?
6 square feet
12 square feet
18 square feet
24 square feet
Answer:
12
Step-by-step explanation:
its either 12 or 18 try 12 first
Use I = PRT to solve.
(time is in years)
1 = $270,000
P = $150,000
R = 12%
Find T.
Answer:
Time T = 15 year
Step-by-step explanation:
Given:
Interest I = $270,000
Principal P = $150,000
Rate R = 12% = 0.12
Find:
Time T
Computation:
I = PRT
270,000 = (150,000)(0.12)(T)
270,000 = (18,000)(T)
Time T = 15 year
write ⅔of 4 as a fraction
Answer:
2/3 of 4=8/3or 2 2/3 is your answer
Answer:
I have 2.66667 As a fraction it is 4/1
Step-by-step explanation:
I'm not completely sure I'm new to this :|
The surface areas of two cubes have a ratio of 49 to 81. What is the
ratio of the edge lengths of the two cubes?
A
7 to 9
B
1 to 32
C
32 to 49
D
3 to 4
Answer:
A
7 to 9
Step-by-step explanation:
We have that:
The ratio of the edges is x.
The ratio of the surface areas is given by [tex]x^2[/tex]
The ratio of the volumes is given by [tex]x^3[/tex]
In this question, we have that:
[tex]x^2 = \frac{49}{81}[/tex]
So
[tex]x = \sqrt{\frac{49}{81}} = \frac{7}{9}[/tex]
So the correct answer is given by option A.
Jared bought a 15-pound bag of turkey for Thanksgiving. His family ate 6 ⅗ pounds of the food on the morning of Thanksgiving and 4 ⅘ for dinner. Jared decided to use ½ of the remaining turkey to make sandwiches for lunch. How much turkey, in pounds, did Jared use to make sandwiches?
Answer:
1 4/5 pounds
Step-by-step explanation:
15-6= 9
9-4=5
3/5+4/5=7/5 or 1 2/5
5-1=4
4-2/5=3 3/5
half of 3 is 1.5 or 1 5/10
3/5=6/10 half of 6/10 is 3/10
3/10+5/10= 8/10
simplify 1 8/10= 1 4/5
The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 100,000 in 2008. The amount of country A funding for country B security forces also decreased during this period. The function f (x) = -1.330x + 5.149x +5.517 can be used to estimate the amount of country A funding for country B security forces, in billions of dollars, x years after January 2007. In what year was the amount of country A funding for country B security forces about $ 10.5 billion?
Answer:
2009
Step-by-step explanation:
The question can be interpreted as:
[tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
Required
Determine x when f(x) = 10.5
Substitute 10.5 for f(x) in [tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
[tex]10.5 = -1.330x^2 + 5.149x + 5.517[/tex]
Collect Like Terms
[tex]-1.330x^2 + 5.149x + 5.517-10.5=0[/tex]
[tex]-1.330x^2 + 5.149x -4.983=0[/tex]
Using quadratic formula
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -1.330[/tex]
[tex]b = 5.149[/tex]
[tex]c = -4.983[/tex]
[tex]x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}[/tex]
[tex]x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}[/tex]
[tex]x = \frac{-5.149 \± 0.0514}{-2.660}[/tex]
Split:
[tex]x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}[/tex]
[tex]x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}[/tex]
[tex]x = 1.92\ or\ x = 1.96[/tex]
Both values of x approximates to 2.
So:
[tex]x = 2[/tex]
2 years after 2007 is 2009.
Hence, the funding is about $10.5 billion in 2009
What is the surface area of this right rectangular prism?
Which graph represents the function f(x) = 4|x|?
Answer:
The 2nd one
Step-by-step explanation:
It is a compression, because you are multiplying by a whole number greater than 1, therefor the line will look thinner
When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 5 dollars to make. The item costs 3 dollars to make.
Required:
a. Express the total profit P in terms of x (the answer has been partially filled in for you).
b. What is the rate of change of the total profit as x changes?
c. If 3000 items sell when the price is 45 dollars and if the number of items that are sold decreases by 600 for every 1 dollar increase in price, find the rate of change of the profit when the item price is 45 dollars.
In this exercise we will use the differential equations to calculate finances, we find that:
a) [tex]Profit = (x - 3)f(x)[/tex]
b) [tex]P' = f(x) + (x - 1) f'(x)[/tex]
c) [tex]P' = 29400[/tex]
The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.
a)Then using the given formula and substituting for the known values we find that;
[tex]Cost = \ cost \ of \ producing \ one \ item * number \ of \ items \ produced\\Cost = $3 * f(x) = 3f(x)\\Revenue = selling \ price \ of \ one \ item * number \ of \ items \ produced\\Revenue = x * f(x) = xf(x)\\Profit = Revenue - Cost = xf(x) - 3f(x)\\Profit = (x - 3)f(x)[/tex]
b) Applying knowledge of differential equations we find that:
[tex]P' = d/dx(xf(x) - 3f(x) )\\P' = f(x) + xf'(x) - f'(x)\\P' = f(x) + (x - 1) f'(x)[/tex]
c)Substituting the known values into the formula given above, we find that:
[tex]f(x) = 3000, x = $45, f'(x) = -600 items / 1$\\P' = 3000 + (45 - 1)(-600)\\P' = 3000 + 26400\\P' = 29400[/tex]
See more about differential equations at brainly.com/question/25731911
If (a+b)² =10 and ab=1 then find a²+b²
Answer:
8
Step-by-step explanation:
so openeing the parenthesis we get
a2+2ab+b2=10
a2+2(1) +b2=10
a2+2+b2= 10
a2+b2=8
if my answer helps please mark as brainliest
I need help please help me solve the the table
Answer:
cool
Step-by-step explanation:
A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
What is tan K? help pleasee
8/15
Hope this helps!
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]Tan(k)=\frac{24}{45} =\frac{8}{15}[/tex]
Find the measure of Angel 1 and 2.
Which fraction is greater than 2/5? 3/10, 7/10, 2/4, 3/6
Answer:
all of them are except for 3/10
Step-by-step explanation:
Answer:
3/6
Step-by-step explanation:
plz mark as brainliest
thank you
19NBoli
1. Jerry has 56.92 centimeters (cm) of wire. He uses 2 pieces of the wire. Each piece he uses is 7.37 cm long. What is the length of the remaining wire, rounded to the nearest tenth of a centimeter?
2.
In Exercises 3 and 4, find the values of x and y
plz help!!!
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
The value of length y is 30 and the value of angle x is 20 degrees and this can be determined by using the properties of an equilateral triangle.
Given :
The triangle ABC is given in the figure.
In an equilateral triangle, all angles are equal and therefore, each side is equal.
16 + y = 46
y = 46 - 16
y = 30
An angle in the triangle is given that is 80 degrees and angle C is 60 degrees because it is an angle of an equilateral triangle.
Applying sum of interior angles property:
80 + 60 + (60 - x) = 180
200 - x = 180
x = [tex]20^\circ[/tex]
For more information, refer to the link given below:
https://brainly.com/question/19237987
PLEASE HELP ITS REALLY URGENT
Need help wit this- pic below
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
__
Check
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed
"What is the difference between a ratio and its related rate and unit rate?"
Answer:
Step-by-step explanation:
The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
What is a ratio?It shows how many times one value is contained in another value.
The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Ratio and unit rate
Ratio and unit rate both are written in the form of a numerator and a denominator.
The ratio is a measure of two units contained in a whole amount.
Example: 3 apples and 3 mangoes are contained in a bag
The ratio of apple and mango is 3:3 = 1:1
The unit rate is also a measure between two units but the denominator should always be one.
Example: A man can run 10 miles in 10 hours
In one hour 1 mile.
The unit ratio is 10miles per hour.
Thus,
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
Learn more about ratios here:
https://brainly.com/question/2462048
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a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h. Pls answer. You'll get 100 points.
Answer:
5 km/h or 6 km/hStep-by-step explanation:
Let the speed of the boat be xSpeed against the current in the river is x - 2Time in the river:
6/(x - 2)Time in the lake:
15/xThe difference:
6/(x - 2) = 15/x - 1Solve for x to find the speed of the boat
Multiply both sides by x(x - 2) to clear the fraction:
6x = 15(x - 2) - x(x - 2)6x = 15x - 30 - x² + 2xx² - 11x + 30 = 0(x - 5)(x - 6) =0x -5 = 0, x - 6 = 0x = 5 km/h, x = 6 km/hAnswer:
5km/hr or 6km/hr
Step-by-step explanation:
BROOOOOOOOOOOOOOO HELPPPPPPPPP
Due to environmental considerations, homeowners in a particularly dry area have been asked to use less water than usual. One home is currently using 770
770
gallons per day. This is 710
7
10
of the usual amount of water used in this home.
Answer:
good
those desert people ought to use less water
Show all work for full credit.
Answer:
−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54
Step-by-step explanation:
Sum is 3 then 5
What is the mean absolute deviation for 299, 281, 285, 269, 280, 269, 286, 287?
Answer:
the answer is 7
Step-by-step explanation:
The mean absolute deviation of the scores 299, 281, 285, 269, 280, 269, 286, 287 is, 7.5
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Now, We know that;
The mean absolute deviation (MAD) is a measure of the dispersion of a set of data. It is calculated as the average absolute difference between each data point and the mean of the set.
Hence, To find the MAD for the given scores, first find the mean of the scores:
= (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287) / 8
= 280.5
Then, find the absolute difference between each score and the mean, and take the average of these differences:
= (|299 - 280.5| + |281 - 280.5| + |285 - 280.5| + |269 - 280.5| + |280 - 280.5| + |269 - 280.5| + |286 - 280.5| + |287 - 280.5|) / 8
= (18.5 + 0.5 + 4.5 + 11.5 + 0.5 + 11.5 + 5.5 + 6.5) / 8
= 7.5
So, the mean absolute deviation of the scores is 7.5.
To learn more about the mean absolute deviation, visit:
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According Two data from the 2010 United States Census 83.7% of Americans lived in the metropolitan area suppose maria researcher takes a random sample of 125 Americans and find that 98 live in the Metropolitan area let P hat represent the sample proportion of Americans that live in a metropolitan area what are the mean and standard deviation of the sampling distribution of P hat provide your answer rounded to three decimal places
Answer:
Mean is 83.7%
And, the standard deviation is 0.033
Step-by-step explanation:
The computation of the mean and the standard deviation is as follows:
Let us assume the P be the sample proportion
Mean is 83.7%
And, the standard deviation is
[tex]= \sqrt{\frac{p(1-p)}{n} } \\\\=\sqrt{\frac{0.837(1-0.837)}{125} }[/tex]
= 0.033
Jon borrows $8.75 from his friends to pay
for snacks, and $13.50 from his sister to go
to the movies. How much money does he
need to repay?
I'm stuck on this!!can someone pls help me
Step-by-step explanation:
i and iii are correct. you are supposed to substitute and find the correct value
Find the values of the variable and the lengths of the sides.
Answer:
C) x=8, 9, 14, 9, 7
Step-by-step explanation:
2x-7=x+1
2x-x-7+7=x-x+1+7
x=8