Answer:
11
Step-by-step explanation:
Given two expressions involving the same unknown number, you want to find the number.
Setup3(x +4) . . . . three times the sum of a number and 4
6x -21 . . . . 21 less than the number times 6
These two expressions have the same value, so we can write the equation ...
3(x +4) = 6x -21
SolutionEliminating parentheses, we have ...
3x +12 = 6x -21
33 = 3x . . . . . . . . add 21-3x
11 = x . . . . . . . . . divide by 3
The number is 11.
Fractions and mixed numbers
At 6 AM, the temperature in New Crampton, California was 64℉. By 4 PM, the temperature had risen to 76℉. What was the change in temperature over the 10-hour period?
The change in temperature over the 10 hours using a mathematical operation, is 12℉.
What is a mathematical operation?A mathematical operation uses input values (variables, numbers, mathematical operators, and operands) to determine an output value.
Some of the mathematical operators include addition, subtraction, division, and multiplication.
For instance, we can subtract the temperature in New Crampton at 6 A.M. from the temperature at 4 P.M. to determine the temperature change.
Data and Calculations:The temperature at 6 A.M. in New Crampton = 64℉
The temperature at 4 P.M in the same city = 76℉
Change in temperature over 10 hours = 12℉ (76℉ - 64℉)
Thus, the change in temperature over the 10 hours using a mathematical operation, is 12℉.
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Answer quick I will mark brainlist
Answer:
Step-by-step explanation:
The Red circles have a probability of 1/2 of getting chosen, The red and blue circles together have an 100% chance of getting chosen because they are the total of circles. Np
Complete the process of solving the equation.
Fill in all the missing terms and select all missing descriptions.
4(-3d+14) = -17d + 16
-12d +56 = -17d + 16
+56 = 16
5d = -40
d=
Add 17d to both sides
Divide both sides by 5
Answer:
d = -8
Step-by-step explanation:
4(-3d+14) = -17d + 16
-12d + 56 = -17d + 16
+17d +17d
5d + 56 = 16
-56 -56
5d = -40
÷5 ÷5
d= -8
I hope this helps!
A computer user has downloaded 21 songs using an online file-sharing program and wants to create a CD-R with
11 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not important to
him, how many different CD-Rs could he make from the 21 songs available to him?
Answer:
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?
It is basically an arrangement of objects in a certain order.It is expressed as n and it is equal to n!/(n-r)!.
How to calculate ways?
We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
Given 9.05(−13.2), find the product.
The value of the product 9.05(-13.2) is -119.46
How to determine the product?The product expression is given as
9.05(-13.2)
Rewrite the product expression as
9.05(-13.2) = 9.05 * (-13.2)
Using a calculator, we have
9.05(-13.2) = -119.46
Hence, the value of the product 9.05(-13.2) is -119.46
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The rectangular coordinate system shows the graph of the equations in a system of equations. Use the graph to determine the number of solutions for the system. If the system has only one solution, give its coordinates.
Answer:
A. The only solution is (-2, 1).
Step-by-step explanation:
Given a graph of two lines, you want the number of solutions to the system of equations the lines represent.
SolutionThe graph of an equation represents all of the points that satisfy that equation. When a system of equations has more than one equation, the set of points that satisfies all of the equations is the set of points where the graphs intersect (overlap) each other.
Here, the two straight lines intersect at exactly one point: (-2, 1). That one point represents the only solution to the system of equations.
The only solution is (-2, 1).
A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 45 years old, with a standard deviation of 10 years. Suppose that these measures are valid for the population of all home buyers. Complete the following statements about the distribution of all ages of home buyers.
According to Chebyshev's theorem, at least 56% of the home buyer's ages lie between __ years and __ years. (Round your answer to the nearest whole number)
According to Chevyshev's theorem, at least what percent of the home buyers' age lie between 25 years and 65 years.
Using Chebyshev's Theorem, it is found that:
At least 56% of the home buyer's ages lie between 30 years and 60 years.At least 75% of the home buyers' age lie between 25 years and 65 years.What does Chebyshev’s Theorem state?When the distribution is not normal, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].For the first item, we first have to find k when P = 56, hence:
[tex]56 = 100\left(1 - \frac{1}{k^{2}}\right)[/tex]
[tex]1 - \frac{1}{k^{2}} = 0.56[/tex]
[tex]\frac{1}{k^2} = 0.44[/tex]
k² = 1/0.44
k = sqrt(1/0.44)
k = 1.5.
Within 1.5 standard deviations, hence the bounds are:
45 - 1.5 x 10 = 30 years old.45 + 1.5 x 10 = 60 yards old.Hence:
According to Chebyshev's theorem, at least 56% of the home buyer's ages lie between 30 years and 60 years.
25 and 65 years are both 2 standard deviations from the mean, hence:
At least 75% of the home buyers' age lie between 25 years and 65 years.
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help like now and immediate
Answer: x=30
Step-by-step explanation:
6x-5+z-25=180
7x+210
x=30
HELP WITH ALLL PLEASE LABEL THE NUMBERS :))
Answer:
18. in imge
19. is D
20. 10/3 (just divided by 5)
21. 8/7 bc negtive reciprocal
22. (0,8) y-int
Step-by-step explanation:
What is 2,443,802,280 rounded to the nearest ten million
Answer:2,440,000,000
Step-by-step explanation:
Real-World Application
al-World Application0231651561065
What was the overall percent increase in the stadium capacity between 1920 and 2000
The overall percent increase in the stadium capacity between 1920 and 2000 considering the capacity was "x" in 1920 and "y" in 2000 is [tex][\frac{(y-x)}{x}*100][/tex].
As per the question statement, we are required to calculate the overall percent increase in the stadium capacity between the time period of 1920 and 2000. But no data about the stadium capacity is mentioned in the question statement. Hence, we will assume the capacity was "x" in 1920 and "y" in 2000. Assigning two variables to solve the question produces a generalized form of our required answer, in which, we can substitute any data to get the desired output.
Since Percentage change is calculated as
[{(Change from original)/(Original Value)}*100],
Our change in seating capacity of the stadium in 2000 from the year 1920 is [tex](y-x)[/tex] and original value being "x",
Overall percent increase in the stadium capacity between 1920 and 2000 is [tex][\frac{(y-x)}{x}*100][/tex].
Percent Increase: It is a measure of the difference (Increment) between the final value and the initial value, expressed in the form of a percentage.To learn more about Percent Increase, click on the link below.
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Find the length of the missing side. Leave your answer in the simplest radical form.
The length of the missing side is √69
How to find the length of the missing side?The triangle is a right triangle with the following parameters
Hypotenuse = 13
Leg = 10
Represent the missing side with x
By the Pythagoras theorem, we have
x = √Hypotenuse² - Leg²
This gives
x = √13² - 10²
Evaluate
x = √69
Hence, the length of the missing side is √69
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The Smiths went to the Cape for a wedding. They left at 11 a.m. They traveled 180 miles and drove at 60 miles per hour. What time did they reach their destination"
O 1:00 p.m.
Answer:
I think it should be 1 pm
Step-by-step explanation:
The Smiths left at 11 am and traveled 180 miles. If they drive at 60 miles per hour, that means that they traveled for 2 hours because 180 divided by 60 is two. That means they traveled for 2 hours and arrived at 1 pm.
Jana baked some muffins. After she served 13 of them to her friends for brunch, she had 17 left. How many muffins did she bake?
Answer:
30
Step-by-step explanation:
Add 13 served to 17 left over to get how many muffins she originally baked.
Answer:
30
Step-by-step explanation:
served muffins=13
left muffins=17
13+17=30
PLEASE HURRY AND HELP. PLEASE AND THANK YOU
Answer:
Step-by-step explanation:
For each one you would take the Q1 and the Q3 value of the box and whisker plot and subtract them
Q3 - Q1 = IQR(interquartile range)
45 - 20 = 25
40 - 10 = 30
10 - 6 = 4
20 - 8 = 12
Give an example of a real-life situation where it might make sense to round a number and a different situation where it probably does not make sense to round a number.
Answer:
when dealing with money
Across
Down
1. animal that eats only plants
2. warm-blooded animals with hair or fur
3. animal that is hunted and eaten
4. animals who hunt other animals
5. back teeth
8. sharp. curved nails on an animal's foot 6. animal that eats meat and plants
9. animal that eats only meat
7. front teeth
Answer:
1. Herbivores
2. Mammals
3. Prey
4. Predators
5. Molars
6. Omnivores
8. Claws
9. Carnivores
*HELP*
Henrich is a single taxpayer. In 2021, his taxable income is $455,000. What is his income tax and net investment income tax liability in each of the following alternative scenarios? Use Tax Rate Schedule, Dividends and Capital Gains Tax Rates for reference. (Do not round intermediate calculations. Leave no answer blank. Enter zero if applicable. Round your final answers to 2 decimal places.)
a. All of his income is salary from his employer.
Income tax _______
Net investment income tax ______
Total tax liability __________
b. His $455,000 of taxable income includes $2,000 of long-term capital gain that is taxed at preferential rates.
Income tax _______
Net investment income tax ______
Total tax liability __________
c. His $455,000 of taxable income includes $49,000 of long-term capital gain that is taxed at preferential rates.
Income tax _______
Net investment income tax ______
Total tax liability __________
d. Henrich has $197,500 of taxable income, which includes $51,000 of long-term capital gain that is taxed at preferential rates. Assume his modified AGI is $210,000.
Income tax _______
Net investment income tax ______
Total tax liability __________
The Investment Income, if any (g) $380 and The Net Income tax payable is $41,516.75
How to find the Total Income tax?A. The Taxable Income (a) $425,000
The Prefrentially taxed income (b) $0
The Income taxed at ordinary rates ( c) $425,000
The Tax on c above (d)
$124,469.95 = $120,529.75 + [($425,000 - $415,050) x 39.6%]
The Tax on b above ( e) is $0
Thus, the Total Income tax (f) is $124,469.95 (d + e)
The Investment Income, if any is $0 No Investment Income
The Net Income tax payable is $124,469.95
B. The Taxable Income (a) $425,000
The Prefrentially taxed income (b) $2,000
The Income taxed at ordinary rates ( c) $423,000
The Tax on c above (d);
$123,677.95 = $120,529.75 + [($423,000 - $415,050) x 39.6%]
The Tax on b above ( e) ;
$400 = $2,000 x 20%, Since marginal rate is 39.6%
The Total Income tax (f) $124,077.95 (d + e)
The Investment Income, if any (g) $76
($2,000 x 3.8% = $76)
The Net Income tax payable is $124,153.95 (f + g)
C. The Taxable Income (a) $425,000
The Prefrentially taxed income (b) $55,000
The Income taxed at ordinary rates ( c) $370,000
The Tax on c above (d);
$105,629.25 = $46,278.75 + [($370,000 - $190,150) x 33%]
The Tax on b above ( e);
$8,747.50 [($45,050 x 15%) + ($9,950 x 20%)]
The Total Income tax (f) $114,376.75 (d + e)
The Investment Income, if any (g) $2,090
($55,000 x 3.8% = $2,090)
The Net Income tax payable $116,466.75 (f + g)
D. The Taxable Income (a) $195,000
The Prefrentially taxed income (b) $50,000
The Income taxed at ordinary rates is ( c) $145,000
The Tax on c above (d);
$33,636.75 = $18,558.75 + [($145,000 - $91,150) x 28%]
The Tax on b above ( e);
$7,500.00 = $50,000 x 15%
The Total Income tax (f) is $41,136.75 (d + e)
The Investment Income, if any (g) $380
The Net Income tax payable is $41,516.75 (f + g)
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Factor 2x^4-20x² - 78.
Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum equals 13, maximum equals 94, 6 classes
The minimum and maximum data entries is the to arrive at the values as follows:
The class width is solved to be 13lower class limits = 13, 26, 39, 52, 65, 78, 91upper class limits = 25, 38, 51, 64, 77, 90, 94How to find the class width, the lower class limits, and the upper class limitsGiven data
minimum equals 13, maximum equals 94, 6 classes
The class width
= ( maximum - minimum ) / 6
= ( 94 - 13 ) / 6
= 13.5
The class width is solved to be 13
Lower class limit
From the lowest 13,repeated addition of the class width gives the lower class limits as follows:
lower class limits = 13, 26, 39, 52, 65, 78, 91
Upper class limits
The upper class limit is gotten from the lower class limit by reducing one from the class width to get 13 - 1 = 12. This value is added to the lower class limits to get the upper class limits.
upper class limits = 25, 38, 51, 64, 77, 90, 94
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(69 1/3)-(45 14/15)=
Answer:
-19
Step-by-step explanation:
1/3 of 69=23
14/15 of 45=42
23-42=-19
Answer:
23 2/5
Step-by-step explanation:
69 1/3 - 45 14/15
= (69 - 45) + (1/3 - 14/15)
= 24 + 1 x 5/3 x 5 - 14/15
= 24 + 5/15 - 14/15
= 24 + 5 - 14/15
= 24 + -9/15
= 24 + -9 ÷ 3/15 ÷ 3
= 24 + -3/5
= 23 2/5
Help please, I need this done for extra credit
The value of 'x' in the given equation - 8 = - (x + 4) is 4.
What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equivalent. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are 2 different expressions separated by a 'equal' sign.So, value of 'x' in - 8 = - (x + 4):
- 8 = - (x + 4)- 8 = - x - 4- 8 + 4 = -x-4 = -xSo, x = 4Therefore, the value of 'x' in the given equation - 8 = - (x + 4) is 4.
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The complete question is given below:
Find the value of x in the equation - 8 = - (x + 4).
1. For infant girls, the mean body length at 10 months is 72 centimeters with a standard deviation of 3 centimeters. The 75th percentile for a 10 month-old girl is ____ centimeters? (Round to one decimal place)
Using the normal distribution, the 75th percentile for a 10 month-old girl is 74 centimeters.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 72, \sigma = 3[/tex]
The 75th percentile is X when Z = 0.675, hence:
0.675 = (X - 72)/3
X - 72 = 3 x 0.675
X = 74.
The 75th percentile for a 10 month-old girl is 74 centimeters.
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What is the value of 6×10 to the 15th power divided by 4×10 to the 12th power
Step-by-step explanation:
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54. The cone in the diagram has radius x cm and height 2x cm. The volume of the cone is 500 cm³. Find the value of x.
Value of x is 6.2 cm when x is the radius of cone.
What is Volume of cone?
The amount of space occupied by a cone is referred to as the volume of a cone. The volume of the cone depends on the base radius of the cone and the height of the cone. It can also be expressed in terms of its slant height wherever necessary.
Volume of cone formula, V= 1/3*[tex]\pi[/tex]*r∧2*h
given,
Height h= 2x
radius = x
Volume V= 500cm3
V= 1/3*[tex]\pi[/tex]*r∧2*h
500 = 1/3 *22/7*x2*2x
x∧3 = 5*3*5*5*2*2*7/11*4
x∧3 = 5*3*5*5*7/11
x = ∛(5*3*5*5*7/11)
x = 5(∛21/11)
x = 6.2 cm
Therefore, the radius of the cone x is 6.2 cm
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How do you write 2.74 x 10 to the negative 3rd power in standard notation?
Answer:
The exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times:
2.74 ->0.00274
Step-by-step explanation:
Final Answer 0.00274
Maria uses 2/3 cup of powdered mix for every 2 gallons of water. Franco uses 1 1/4 cups of powdered mix for every 5 gallons of water. What is the strength of each sports drink?
The strength ratio of each sports drink is 4:3.
What is ratio ?Ratio can be defined as comparison of two or more similar quantities.
According to the given question Maria uses 2/3 cup of powdered mix for every 2 gallons of water.
Therefore the no. of cups of powdered mix per gallon in Maria's sports drink is
= (2/3)÷2
= (2/3)×(1/2)
= 2/6.
= 1/3 cups per gallon of sport drink.
In case of Franco the no. of cups of mix in his sport drink per gallon is
=(5/4)÷5
= 5/4×1/5
= 5/20
= 1/4 cups per gallon of sport drink.
∴ The strength of each sport drink is
= 1/3:1/4
= 12/3:12/4 ( LCM of 3,4 is 12 to remove the fractions)
= 4:3.
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Find a translation that has the same effect as the composition of translation.
(x,y)-> (x+8,y+4) followed by
(x,y)-> (x-7,y+8)
Answer:
you need to show the options at the bottoma
Step-by-step explanation en:
