There are 20 squares and 16 triangles. What is the simplest ratio of triangles to total shapes?
Answers
Answer:
4/9
Step-by-step explanation:
20+16= 36 total shapes. 16/36 simplifys to 4/9.
The simplest ratio of triangles to total shapes is 4:7.
Given that the number of squares=20 and the number of triangles=15.
The total number of shapes=20+15=35.
We need to find the simplest ratio of triangles to total shapes.
What is the ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.
Now, triangles: total shape=20:35
=4:7
Therefore, the simplest ratio of triangles to total shapes is 4:7.
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Related Questions
Find 3/5 x 4/7 in simplest form
Answers
Answer:
3/5 * 4/7 = 12/35
you can find the answer by multiplying the numerator by the other numerator and the denominator by the other denominator
\(\frac{3}{5} \times \frac{4}{7}\) in its simplest form is \(\frac{12}{35}\)
To evaluate the given multiplication in its simplest form, we will find the product of the given two fractions.
First, let us write the given fractions properly
That is,
\(\frac{3}{5} \times \frac{4}{7}\)
Now, we will carry out the multiplication operation
\(\frac{3}{5} \times \frac{4}{7} = \frac{3 \times 4}{5 \times 7}\)
Then, we get
\(\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}\)
(NOTE: This is the simplest form as both the numerator and the denominator do not have a common factor)
Hence, \(\frac{3}{5} \times \frac{4}{7}\) in its simplest form is \(\frac{12}{35}\)
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If n is an even integer such that 5≤n≤12, then what is the mean of all possible values of n?
Answers
Answer:
9
Step-by-step explanation:
5≤n≤12
List all the even integers
6,8,10,12
Then find the mean
(6+8+10+12) /4
36/4
9
The mean is 9
Q#1HASF & Company produces cleaning kits for shotguns. The production capacity available will enable the firm to produce 50,000 kits annually. A projected income statement for next year shows
Sales 460,000
Costs of goods sold 296,000
Gross profit 164,000
Selling and administrative expenses 125,000
Net income 39,000
Fixed manufacturing overhead costs 40% of the cost of goods sold. Regular selling price per unit is 10 A 10% sales commission is paid to sales representatives for each kit sold. The purchasing department of a large discount chain has offered to purchase 1500 kits at $6 each. Company sales manager’s initial response is to refuse the offer because he concludes that the $6 price is below the firm’s average cost The sales commission would not be paid on the special order.
What will be the impact on net income??
Answers
Answer:
3209
Step-by-step explanation:
Simplify the product using the distributive property
(3h - 5)(5h + 4)
Answers
Step-by-step explanation:
(3h - 5)(5h + 4) = 3h * 5h + 3h * 4 - 5*5h - 5 *4
= 15h^2 - 13h -20
\((3h-5)(5h+4)\)
\(=(3h+-5)(5h+4)\)
\(=(3h)(5h)+(3h)(4)+(-5)(5h)+(-5)(4)\)
\(=15h^2+12h-25h-20\)
Answer:
\(\bold{=15h^2-13h-20}\)5. A $1,500 loan grows at 5.5% simple interest.
a) Develop a formula to calculate the amount after n months.
b) What is the amount owed after 14 months?
Answers
(a) A formula to calculate the amount after n months: 1,500(1 + nx0.0046)
(b) the amount owed after 14 months = $1596.6
Given that,
Principal amount = P = $1,500
interest of grown = R = 5.5%
Now we can write is,
5.5% = 5.5/100
= 0.055
We know that,
The simple interest formula,
A = P(1 + rt)
Where,
A represents Amount after T years
R represents rate of interest
T is time in year
Now,
Since 1 month = 1/12 years
= 0.084
Therefore amount after 1 month be
A = 1,500(1+0.055x0.084)
= 1,500(1+0.0046)
= 1506.93
Amount after 2 month be
A = 1,500(1+ 2 x 0.055x0.084)
= 1,500(1+2x0.0046)
Amount after 3 month be
A = 1,500(1+ 2 x 0.055x0.084)
= 1,500(1 + 3x0.0046)
Hence amount of n months = 1,500(1 + nx0.0046)
Hence,
The amount after 14 months,
= 1,500(1 + 14x0.0046)
= $1596.6
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Helppoooppp pleaseeee! Will rate !!
Answers
Answer:47 X=16
Step-by-step explanation:
You are the manager of a movie theater, and you are
analyzing attendance data from last weekend. On
Friday evening, 285 people come to see a new
animated movie. On Saturday evening, 355 people
come to see the same movie.
What is the approximate percent increase in
attendance?
Answers
Answer:
total number of people on Friday = 285
total number of people on Saturday = 355
total increment = 355-285 = 70
total increase percentage = 70÷285*100
= 24.56%
hope it helps!
Which fruit stand, A or B, offers a better deal on blueberries
Answers
Answer:
Step-by-step explanation:
Answer:BStep-by-step explanation:B cost less money bet has the same
3r^2+27\(3r { +}^{2} + 27 = 0\)
Answers
Solution
For this case we have the following:
\(3r^2+27=0\)We can subtract 27 in both sides and we got:
\(3r^2=-27\)Then we can divide both sides by 3 and we got:
\(r^2=-9\)Then the possible to solution are:
\(r=3i,r=-3i\)in the figure JKLM ~ EFGH. complete the following table.
Answers
Answer:
scale factor 5:2
x= 27.5
y=12
z=7.5
Step-by-step explanation:
please help me, i will mark the brainliest pls!
Answers
9514 1404 393
Answer:
yes5 × (6 - 3) = (5 × 6) - (5 × 3)Step-by-step explanation:
The distributive property tells you the factor outside parentheses multiplies each of the terms inside parentheses.
The difference 6 -3 inside parentheses has two terms, and there is a factor of 5 outside those parentheses. The setup for the distributive property is there, so the distributive property can be used.
__
The outside factor multiplies each inside term. The sign can be left with the inside term, or can be placed between the products.
5 × (6 - 3) = (5×6) - (5×3)
__
or
5 × (6 - 3) = (5×6) +(5×(-3))
what is the expression in simplest form x^2+x-2/x^3-x^2+2x-2
Answers
Answer:
\(\frac{-2}{x^{2} } -2\)
Step-by-step explanation:
\(x^{2} + \frac{x-2}{x^{3} } -x^{2} +2x-2\)
= \(\frac{-2}{x^{2} } -2\)
Answer: see photo#2
Step-by-step explanation:
ABC Computer Company has a AED20, 000,000 factory in Sharjah. During the current year, ABC builds AED2,000,000 worth of computer components. ABC’s costs are labour AED 1,000,000; interest on debt, AED100,000; and taxes, AED200,000. ABC sells all its output to Jumbo LLC Supercomputer. Using ABC’s components, Jumbo builds four supercomputers at a cost of AED800,000 each (AED500,000 worth of components, AED200,000 in labour costs, and AED100,000 in taxes per computer). Jumbo LLC has a AED30,000,000 factory. JUMBO LLC. sells three of the supercomputers for AED1,000,000 each; at year’s end, it has not sold the fourth. The unsold computer is carried on JUMBO LLC’s books as an AED800,000 increase in inventory. a) Calculate the contributions to GDP of these transactions, showing that all three approaches give the same answer. and its explanation
Answers
All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.
To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.
Expenditure Approach:
GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.
GDP = Sales of supercomputers
= (3 * AED1,000,000) + (1 * AED800,000)
= AED3,800,000 + AED800,000
= AED4,600,000
Income Approach:
GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.
GDP = Wages + Interest + Taxes
= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)
= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)
= AED1,200,000 + AED100,000 + AED300,000
= AED1,600,000
Production Approach:
GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.
GDP = Sales price of supercomputers - Cost of components
= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)
= AED3,000,000 + AED800,000 - AED2,000,000
= AED1,800,000
As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.
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Which choice is equivalent to the quotient below? √14/2√2 A.√7/2 B.√7/√2 C.√7 D.√7/4
Answers
slant height =15.2 in. height =14 in.base width =12 in .What is the surface area of the pyramid?
Answers
Answer: 605.08 hope this helps.
Step-by-step explanation:
Find the length of side X in simple radical form with a rational denominator
Answers
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The graph of y = -x + 2 is negative
over the interval (4, 0) and positive over the
interval (-0, 4). What happens on the graph
when x = 4? Explain.
Answers
What does the circled portion represent in the confidence interval formula?
p±z.
O Sample proportion
O Margin of error
p(1-p)
n
Confidence interval
O Sample Size
Answers
The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.
In the confidence interval formula p ± z, the circled portion represents the Margin of Error.
The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.
It indicates the range within which the true population parameter is likely to fall based on the sample data.
The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.
The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.
The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.
It reflects the trade-off between the desired level of confidence and the width of the interval.
A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.
Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.
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The Robinson family had a race and the referee recorded in the event.The difference between the first and last finisher is 2 seconds.
True or false
Answers
Answer:
Hi
Please mark brainliest ❣️
Thanks
Step-by-step explanation:
True
Reason
Use the last person time to minus the first person time which is
53.3 - 51.3
Draw the net and calculate the surface area .
Answers
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
The area of a square is given by A=s squared, where is the length of each side of the square. If the area of a square box is 16 square inches, what is the length of 1 side of the room, in inches?
Answers
16 in^2 = s^2
Take the sqrt of both sides.
4 in = s
One side of the room is 4 inches.
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Answers
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= \(\frac{122.31-35}{38.75/\sqrt{52} }\)
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
Why would a 4-legged table rock and why would a 3-legged table rock on a leveled floor?
Answers
A table may rock due to a variety of factors, including the shape and balance of its legs. This can happen regardless of whether it has four or three legs.
A four-legged table can rock for a variety of reasons, including the length and angle of the legs. If one leg is shorter than the others, the table will tilt in that direction, causing it to rock. If the angle between the legs is different, the table may wobble even if the legs are all the same length. The height of the table can also contribute to this issue. A table may wobble if it is placed on an uneven surface, such as a rug or a tiled floor that is not level. Uneven weight distribution on the table's surface can also cause a table to rock. As a result, if something heavy is placed on one side of the table, it will shift its center of gravity, causing it to wobble. If all of the legs of a table are the same length and the table is level, it is unlikely that it will rock. However, if the legs are not evenly spaced or if the table's center of gravity is unevenly distributed, it may still wobble or rock. Furthermore, if the surface on which the table is placed is not level, the table may rock, regardless of the number of legs it has.For such more question on length
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Determine which integer will make the inequality 4x + 6 < 2x + 12 false.
Answers
Answer:
x>=3 make the inequality false
Step-by-step explanation:
4x-2x<12-6
2x<6
x<3
Answer:
Any number higher than 3
Ex. 4, 5, 6, 7, 8, 9, 10, etc
Step-by-step explanation:
4x + 6 < 2x + 12
-2x -2x
---------------------
2x + 6 < 12
-6 -6
------------------
2x < 6
÷2 ÷2
-----------
x < 3
Since x is less than 3, any number higher than 3 will make the inequality false. For Ex. 4
4(4) + 6 < 2(4) + 12
16 + 6 < 8 + 12
22 < 20 (false)
I hope this helps!
What is the area of the lateral surface of the following cylinder? 175.84 in. 2 28 in. 2 87.92 in. 2 43.96 in. 2
Answers
Answer:
87.92in.2
Step-by-step explanation:
The person above me is right. :p
Consider the line y=-8x+6.
Find the equation of the line that is parallel to this line and passes through the point (7, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (7, 5).
Answers
The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.
What is the equation of line parallel and perpendicular to the given line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the original line:
y = -8x + 6
Using the slope intercept:
Slope m = -8
Since the desired line is parallel, it will have the same slope.
Therefore, the slope of the parallel line is also -8.
Plug in the slope m = -8 and the poin (7,5) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
( y - 5) = -8( x - 7 )
Simplify
y - 5 = -8x + 56
y = -8x + 56 + 5
y = -8x + 61
The equation of the parallel line is y = -8x + 61.
For the perpendicular line:
The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.
Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)
Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).
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25-40x = x - 10
solve this radical equation
the 25-40x is supposed to be in a square root
Answers
on a test Matila answered 12 out of of the first 15 prob;ems correctly.how many of the next 25 problems will she answer correctly
Answers
Answer: 20
Which of the following pairs of functions are inverses of each other?
O A. f(x) = 2x–9 and g(x) = *7 9
B. f(x)=$+4 and g(x) = 3x-4
C. f(x)=5+*fx and g(x) = 5 - 43
O D. f(x) = 3-6 and g(x) = x26
Answers
Answer:
I think its B
Step-by-step explanation:
The pairs of functions which are inverses of each other is A. f(x) = 2x - 9 and g(x) = (x + 9)/2.
What is Inverse Function?Inverse functions are functions which can be reversed in to another function.
Then the function is said to be the inverse of the second function.
If two functions f(x) and g(x) are inverses of each other, then f(g(x) = x and g(f(x)) = x.
A. f(x) = 2x - 9 and g(x) = (x + 9)/2
f(g(x)) = f((x + 9)/2) = 2 [(x + 9)/2] - 9 = x + 9 - 9 = x
g(f(x)) = g(2x - 9) = (2x - 9 + 9) / 2 = 2x / 2 = x
So, the functions are inverses of each other.
B. f(x) = (x/3) + 4 and g(x) = 3x - 4
f(g(x)) = f(3x - 4) = [(3x - 4)/3] + 4 ≠ x
So not inverses of each other.
C. f(x) = 5 + ∛x and g(x) = 5 - x³
f(g(x)) = f(5 - x³) = 5 + ∛(5 - x³) ≠ x
So not inverses of each other.
D. f(x) = (2/x) - 6 and g(x) = (x + 6)/2
f(g(x)) = f((x + 6)/2) = [2 / ((x + 6)/2)] - 6 ≠ x
So not inverses of each other.
Hence the correct option is A.
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what is the absolute value of |9|?
Answers
Answer:
9
Step-by-step explanation:
it's as simple as that 9 is 9 away from 0