Answers
Answer:
\(\dfrac{39}{8}\)
Step-by-step explanation:
\(8\dfrac{2}{3}\div 1\dfrac{7}{9}= \\\\\\\dfrac{26}{3}\div \dfrac{16}{9}= \\\\\\ \dfrac{26}{3}\times\dfrac{9}{16}= \\\\\\\dfrac{26\times 9}{3\times 16}= \\\\\\\dfrac{234}{48}= \\\\\\\boxed{\dfrac{39}{8}}\)
Hope this helps!
Answer:
\( 4 \dfrac{7}{8} \)
Step-by-step explanation:
Change each mixed numeral into a fraction.
\( 8 \dfrac{2}{3} \div 1 \dfrac{7}{9} = \)
\( = \dfrac{8 \times 3 + 2}{3} \div \dfrac{1 \times 9 + 7}{9} \)
\( = \dfrac{26}{3} \div \dfrac{16}{9} \)
To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction.
\( = \dfrac{26}{3} \times \dfrac{9}{16} \)
\( = \dfrac{26 \times 9}{3 \times 16} \)
\( = \dfrac{234}{48} \)
\( = \dfrac{39}{8} \)
\( = 4 \dfrac{7}{8} \)
Related Questions
Which of the following is the domain of the function based on the input-output table below?
Answers
Answer:
the domain is the input or the x value, while the range consists of y values or the output of an input output table.
Step-by-step explanation:
A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions. Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0). Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points) Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points) Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Answers
The maximum daily profit the company can earn is $2,350.
It is a set of points in a coordinate plane that represents the values of the function for different inputs.
The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.
Therefore, the maximum daily profit the company can earn is $2,350.
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Use the distributive property to write an
expression that is equivalent to each expression. If
you get stuck, consider drawing boxes to help
organize your work.
D. 8(-x-1/2)
e. -8(-x-3/4y+7/2
Answers
Answer:
D. -8x-4
E. 8x+6y-28
Step-by-step explanation:
D. 8(-x-1/2) = -8x-4
E. -8(-x-3/4y+7/2 = 8x+6y-28
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answers
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
What is the value of x if e³x+6 - 87
Answers
Find the difference between the sum and product of 2 1/4 and 1 4/5
Answers
Answer: 0 is the answer
if my answer is correct mark as brainliest
Rewrite the fractions as improper fractions:
2 1/4 = 9/4
1 4/5 = 9/5
Rewrite the fractions to have a common denominator:
9/4 = 45/20
9/5 = 36/20
The sum is adding the two together:
45/20 + 36/20 = 81/20
Rewrite as a mixed number:
81/20 = 4 1/20
Product is multiplication:
For multiplying you can use different denominators so you can use the first improper fractions:
9/4 x 9/5 = (9x9)/(4x5) 81/20
Rewrite as a mixed number: 4 1/20
Now subtract to find the difference: 4 1/20 - 4 1/20 = 0
The difference = 0
Directions (Integrated Math 3): Give one positive and one negative coterminal angle to each given angle! Please solve for each one shown.
Answers
Given:
The given angles are 25 degrees, 112 degrees, and 290 degrees.
Required:
We need to find one positive and one negative coterminal angle to each given angle.
Explanation:
Simply add or subtract 360 degrees of the terminal angle as many times as possible to find the coterminal angle.
1) 25 degrees
Add 360 degrees to the given angle.
\(25\degree+360\degree=385\degree\)Subtract 360 degrees from the given angle.
\(25\degree-360\degree=-335\degree\)2) 112 degrees.
Add 360 degrees to the given angle.
\(112\degree+360\degree=472\degree\)Subtract 360 degrees from the given angle.
\(112\degree-360\degree=-248\degree\)3) 290 degrees.
Add 360 degrees to the given angle.
\(290\degree+360\degree=650\degree\)Subtract 360 degrees from the given angle.
\(290\degree-360\degree=-70\degree\)Final answer:
1) 25 degrees
The positive coterminal = 385 degrees.
The negative coterminal = -335 degrees.
2) 112 degrees
The positive coterminal = 472 degrees.
The negative coterminal = -248 degrees.
3) 290 degrees
The positive coterminal = 650 degrees.
The negative coterminal = -70 degrees.
volume of a sphere = ³, where ris 3 ㅠ the radius. Titanium has a density of 4.506 g/cm³. How many kilograms would a sphere of titanium with a radius of 11 cm weigh? Give your answer to 1 d.p.
Answers
After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
what is radius?In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.
The formula for the volume of a sphere of radius "r" is:
V = (4/3)πr³
Substituting the specified radius value (r = 11 cm), we get:
V = (4/3)π(11)³ \sV = 5575.279 cm³
Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:
Density = Volume Weight
Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3
When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:
The weight is 25.121811974 kg.
As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
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What is 6/20 of a dollar
BRAINLIEST IS RIGHT
Answers
Answer: 30 cents
Step-by-step explanation:
1/20 of a dollar is 5 cents
Then we multiply by the numerator (6) to get our answer....
5x6= 30
Hoped this helps! :)
Make x the subject of the formula r=√x²+y²
Answers
Answer:
Step-by-step explanation:
\((2w + 1) {}^{2} \)
Answers
Answer:
4w^2 +4w+1
this is the product.
Step-by-step explanation:
Answer:
4w^2+4w+1 is very correct
Step-by-step explanation:
so I just wanted to explain more
so you expand the question like this
(2w+1)(2w+1) then
further expand by 2w(2w+1)+1(2w+1) so you use what was in the first bracket to multiply the second bracket
then it will be 2w×2w= 4w^2 that how I got that part so you multiply what's in the bracket by what is outside of it = 4w^2 +2w+2w+1 = 4w^2 +4w not 4w^2 because it's not multiplication +1
Answer the statistical measures and create a box and whiskers plot for the following set of data. 3 , 4 , 6 , 8 , 10 , 10 , 13 , 13 , 13 , 14 , 15 , 16 , 17 , 17 3,4,6,8,10,10,13,13,13,14,15,16,17,17 Min: Q1: Med: Q3: Max:
Answers
The statistical measures for this set of data are as follows:
Minimum: 3
First Quartile (Q1): 8
Median: 13
Third Quartile (Q3): 16
Maximum: 17
What is data?Data is information that has been collected and organized to be used for a purpose. It can include numbers, words, images, or any other type of information. Data is used to answer questions, solve problems, and inform decisions. Data can come from a variety of sources such as surveys, experiments, and observations.
A box and whiskers plot can be used to display the distribution of the data set. The box and whiskers plot will use the minimum, maximum, Q1, median and Q3 values to create a visual representation of the data set. The box in the box and whiskers plot is bound by the Q1 and Q3 values, with the median value being represented as a horizontal line inside the box. The whiskers are lines that extend from the box to the minimum and maximum values. The points outside the whiskers are considered outliers in the data set.
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Look at the images above. How are the fish food box and the shipping box similar? How are they different?
Answers
Answer:
Read below c:
Step-by-step explanation:
Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.
hope it helps c:
Is it A
B
C
D
Will be marked as crown
Answers
(-3, 7) and (6, -8) linear equations
Answers
Determine the equation of the graph and select the correct answer below.
Answers
Answer: y = (x - 1)² - 3
Step-by-step explanation:
y = (1-1)²-3
y=0-3
y=-3
1.012 - 0.809 +2.75
give me the answer
Answers
Answer:
2.953
Step-by-step explanation:
Following the order of operations, work from left to right for addition/subtraction.
Subtraction:
\(\begin{array}{r r r r r} ^0\diagup\!\!\!\!1 &. & ^10 & ^0\diagup\!\!\!\!1&^1 2\\ -\quad0&.&8&0&9\\\cline{1-5}0&.&2&0&3\\\cline{1-5} \end{aligned}\)
Addition:
\(\begin{array}{r c c c r} 0 & . & 2&0&3\\ + \:\:2 &.& 7 & 5\\\cline{1-5}2&.&9&5&3\\\cline{1-5} \end{aligned}\)
Therefore, the solution is 2.953
Let's see
1.012-0.809+2.752.75 can be written as 2.750
1.012-0.809+2.7500.203+2.7502.953During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
Answers
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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Calculate the area of the trapezoid. (The sum is square millimeters)
15 mm
13 mm
22 mm
square millimeters
K.
42
56
10
Answers
Answer:
The area of the trapezium is 308 mm2.
Area of trapezium is h(a+b)/2
Please help me with this.
Answers
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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Draw a line from the figure to the area of the figure.
13 square units
14 square units
15 square units
Hurry please do tomorrow this is a 3rd grade problem
Answers
To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.
How do you Draw a line?Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.
E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.
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the nth term in a sequence is tn=5n + 3. Calculate the 12th and 24th terms, t12 and t 24
Answers
Answer:
63 and 123-----------------------
Substitute 12 and 24 for n into formula and calculate.
\(t_{12}=5*12+3=60 + 3=63\)\(t_{24}=5*24+3=120 + 3=123\)So, the 12th term is 63 and 24th term is 123.
Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
Answers
The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
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d = 60ℎ + 20
car A is traveling from San Francisco. The distance in miles from San Francisco after H hours spent driving is described for the car below .
Answers
Answer:
22.78hr
Step-by-step explanation:
the car is moving so fast
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
The calculated scale factor from ABC to A'B'C is 1/3
Calculating the scale factor from ABC to DEF?From the question, we have the following parameters that can be used in our computation:
The triangles
From the triangles, we have the following parameters
A = (0, 3)
A' = (0, 1)
Using the above as a guide, we have the following:
Scale factor of the dilation = A'/A
So, we have
Scale factor of the dilation = (0, 1)/(0, 3)
Evaluate
Scale factor of the dilation = 1/3
Hence, the scale factor of the dilation is 1/3
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165см.+567см.-203см.
Answers
Answer:
529 cm
Step-by-step explanation:
Given problem is,
→ 165cm + 567cm - 203cm
Let's solve the problem,
→ (165 + 567) - 203
→ 732 - 203
→ 529 cm
Hence, solution is 529 cm.
Explanation/Answer:
Use long addition and long subtraction to solve
→ \(165 + 567\\5 + 7 = [1]2\\6 + 6 = 1+2 = 3\\1 + 5 = 6 + 1 = 7\\700 + 30 + 2 = \bold{732}\)
→ \(732 - 203\\3 - 12 = 9(Because~of~borrowing)\\2 - 0 = 2(Borrowed~1~for~3-2)\\7 - 2 = 5\\500 + 20 + 9 = \bold{529}\)
Thus,
your answer is 529 cm.
Translate: the sum of 4 and a number (x)
Answers
Answer:
9
Step-by-step explanation:
4 + x =9
Have a great day
select all the ordered pairs that are solutions to the equation 5x + 2y = -8A) (-8/5, 0)B) (0, -4)C) (-4, 0)D) (4, -14)E) (1, -2)
Answers
The points which satify the equation are solution of equations.
Substitute the points in the equation to check whether ordered pair are solution of equation or not.
\(\begin{gathered} 5\cdot\frac{-8}{5}+2\cdot0=-8 \\ -8+0=-8 \\ -8=-8 \end{gathered}\)Point satify the equation. So ordered pair (-8/5,0) is solution of equation.
For second point,
\(\begin{gathered} 5\cdot0+2\cdot(-4)=-8 \\ 0-8=-8 \\ -8=-8 \end{gathered}\)Point satify the equation. So ordered pair (0,-4) is soution of equation.
For third point;
\(\begin{gathered} 5\cdot(-4)+2\cdot0=-8 \\ -20+0=-8 \\ -20\ne-8 \end{gathered}\)Point not satisfy the equation. So ordered pair (-4,0) is not the solution of equation.
For fourth point;
\(\begin{gathered} 5\cdot4+2\cdot(-14)=-8 \\ 20-28=-8 \\ -8=-8 \end{gathered}\)Point satisfy the equation. So ordered pair (4,-14) is solution of equation.
For fourth point;
\(\begin{gathered} 5\cdot1+2(-2)=-8 \\ 5-4=-8 \\ 1\ne-8 \end{gathered}\)Point not satisfy the equation. So ordered pair (1,-2) is not a solution of equation.
Answer:
A (-8/5,0)
B (0,-4)
D (4,-14)
Find the slope of a line that contains the two points 0, 1 and 1, 3
Answers
Answer:
The slope is 2.
Step-by-step explanation:
Use the slope formula:
m = y2 - y1 / x2 - x1
Plug in the numbers from the ordered pairs:
m = 3 - 1 / 1 - 0
m = 2/1
Simplify:
m = 2
Garrison deposited $500 in an account that earns 5% annual interest compounded annually. If he makes no withdrawals or deposits, what will be the ending balance of his account after 4 years? *
Answers
3% $500= $15
$15 times 6yrs = $90