Answer:
-6a-48
Step-by-step explanation:
-6 x a = -6a
-6 x 8 = -48
so I have this problem in my workbook for math and it says to circle the whole numbers and explain my reasoning, here are the numbers : 9, 4/4, and 1.00000 which ones do I choose and what do I say
EXPLANATION.
The whole numbers are the same natural numbers that start from zero to infinity, they are positive and negative, for example in the number line we can see them from zero to positive infinity, and from zero to negative infinity.
Whole numbers express a complete unit, this means that they do not have an integer part and a decimal part.
Now according to what has already been mentioned, we can see in the exercise that the integers are 9 and 1.00000, which we must enclose in a circle.
helpppppppppppppppppppppppppppppppppppppppppppppp
Lily plans to have guests over to share her turkey and gravy dinner. She plans to give each guest
1 cup of gravy for every 2 pieces of turkey.
A.If a guest takes 4 pieces of turkey, how many cups of gravy will they get?
B.10 guests come over, and each guest takes 3 pieces of turkey. How many cups of gravy will Lily give out in total?
If a guest takes 4 pieces of turkey, the cups of gravy the guest would get is 2.
The total cups of gravy that Lily will give out in total is 15.
How many cups of gravy will guests get?Ratio is used to compare two or more variables together. It is used to show the relationship that exists between two or more variables. In this question, for every cup of gravy a guest gets, the guest would get 2 pieces of turkey. The ratio of gravy to turkey is 1 : 2.
Cups of gravy that each guest would get = (ratio of turkey x number of pieces of turkey) ratio of cups of gravy
(4 x 1) / 2 = 2
In order to determine the cups of gravy that 10 guests would have is to determine the cups of gravy each guest would get.
Cups of gravy each guest would get : (3 x 1) / 2 = 3/2
The next step is to multiply the ratio by the number of guests.
Number of guests = 3/2 x 10 = 15
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5x + 13 -x = 4x + blank
Answer:
13 for blank
Step-by-step explanation:
if I am correct i believe that you want both sides to equal each other
Select which of the following are surds
A) √17 B) √36 C) √100 D) √15 E) √30
[tex]\sqrt{17}[/tex], [tex]\sqrt{15}[/tex] and [tex]\sqrt{30}[/tex] are surds among the given options.
According to the question,
We have the following information:
A) √17 B) √36 C) √100 D) √15 E) √30
Now, among these options we have to find which of them is a surd.
We know that surds are defined as numbers which can not expressed as rational numbers or in the form of p/q where q should not be equal to 0.
In this case, 6 is the perfect square root of [tex]\sqrt{36}[/tex]. So, it can not be classified as a surd.
10 is the perfect square root of [tex]\sqrt{100}[/tex]. So, it can also be expressed as a rational number.
However, among these 5 options [tex]\sqrt{17}[/tex] can not be expressed as a perfect square root of any number. So, it is a surd.
[tex]\sqrt{15}[/tex] and [tex]\sqrt{30}[/tex] also can not be expressed as a rational number.
Hence, the correct options are A, D and E.
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a certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. a.how many cups of red paint should be added. write your answer in terms of a fraction using a "/" for the fraction bar and no spaces. the answer to the question is
Hence 3/7 cup of Red paint should be added to white paint to create a certain pink shade.
Given :
Three cups of red paint and seven cups of white paint are mixed to produce a particular hue of pink.
To determine how many cups of red paint to add to one cup of white paint.
What is the proportionality constant?
Red ∝ White
Red = K ( White)
=> 3 = K ( 7)
=> k = 3/7
Hence constant of proportionality is 3/7
Red = (3/7) White
1 Cup of white
=> Red = 3/7
Hence 3/7 cup of Red to be added.
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A city has a population of 350,000. The
population has decreased by 30% in the past
ten years. What was the population of the city
ten years ago?
Answer:
the population was 455,000
Step-by-step explanation:
350,000 × 0.3 = 105,000
105,000 + 350,000 = 455,000
Consider the function f(x)=3(2)−1.5x . What is the value of f(2)
The value of function f(2) is f(2) = 3
How to determine the value of the function?The equation of the function is given as
f(x) = 3(2) - 1.5x
Also, we have the function to be f(2)
This means that the value of x is 2
i.e we calculate f(x) when x = 2
Substitute 2 for x in the equation f(x) = 3(2) - 1.5x
So, we have
f(2) = 3(2) - 1.5 x 2
Evaluate the product
f(2) = 6 - 3
Evaluate the difference
f(2) = 3
Hence, the value of the function is 3
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What is the equation in slope-intercept form of the line that passes through the point (6, 3) and is parallel to the graph of y = −2 3 - 2 3 x + 12?
The line passing through the coordinates (6, 3) and parallel to the y=-23-23x+12 graph. The equation of the slope intercept form of the line is 23x+y-141=0.
Given that,
We have to find what is the slope-intercept equation for the line passing through the coordinates (6, 3) and parallel to the y = -2 3 - 2 3 x + 12 graph.
The coordinates are (6,3).
y=-23-23x+12
y=-23x-11
The above equation is in the form of equation of the line that is y=mx+b
m value is -23.
Now,
The formula for the equation of line's slope intercept is
y-y₁=m(x-x₁)
y-3=-23(x-6)
y-3=-23x+138
23x+y-3-138=0
23x+y-141=0
Therefore, the equation of the slope intercept form of the line is
23x+y-141=0.
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29. pls help need to answer this question
Answer:
x and y coefficients, are the same, equal, are
M measures 12°
(a) Find the supplement of M.
(b) Find the complement of M.
168° is the supplementary angle of 12°.
The complement of the initial angle, which is 12 degrees, is 90 – 12 degrees, or 78 degrees.
What is an example of a supplementary angle?
Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
Two angles are said to be supplementary angles if they add up to 180 degrees. For example, if ∠A + ∠B = 180°, then ∠A and ∠B are called supplementary angles. Supplementary angles always form a straight angle (180 degrees) when they are put together.
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If the original angle is 12 degrees, then 90-12 = 78 degrees is the complement of that angle. Therefore, the angles of 12 degrees and 78 degrees are complimentary.
What is supplemetary and complementary angles?Two angles are said to be supplementary angles because they combine to generate a linear angle when their sum is 180 degrees. When two angles add up to 90 degrees, however, they are said to be complimentary angles and together they make a right angle.
complementary angles have a sum of 180 degrees. Supplementary and complementary angles can share a vertex or side but are not need to be near to one another.
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600% of what number is 204?
Answer:
1346.4
Step-by-step explanation:
The cycles for two different events are shown
in the table. Each of these events happened
in the year 2000. What is the next year in
which both will happen?
Answer It is called External Conflict. A struggle between two characters or outside force.
Example: character vs character
Example: character vs society
Example: character vs Nature
Character vs Self is an example of Internal Conflict. A struggle a character has within
their mind or height. Their conscience.
a hunter is practicing his aim using a practice target. he takes 5 shots. all 5 shots hit the target, but they do not hit or surround the bullseye. in addition, all 5 shots are very spread apart on the target. classify the hunter's accuracy and precision.
The answer is low accuracy and low precision.
Given:
A hunter is practicing his aim using a practice target. he takes 5 shots. all 5 shots hit the target, but they do not hit or surround the bullseye. in addition, all 5 shots are very spread apart on the target.
From the given statements :
All 5 shots hit the target, but they do not hit or surround the bullseye here no shots hit or surround the bullseye means there is no closeness to true value,Hence low accuracy.
All 5 shots are very spread apart on the target here all shots are very spread apart means there is no closeness between the shots,Hence low precision.
Therefore the answer is low accuracy and low precision.
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There are c green notebooks on Sasha's desk. The number of red notebooks on her desk is 6 less than the number of green notebooks. How many notebooks are on Sasha's desk if all of them are either green or red
The formed equation for the green or red notebooks on the Sasha's desk is: 2c - 6
What is equation?
In mathematics, the statement based problems can be solved by forming the equation. And it consists of dependent variable as well as independent variable.
According to the question, the given parameters to form the equation for the given statement are as follows:
Green notebook on Sasha's desk: 'c'
Number of red notebooks: c - 6
Now, to calculate as well as form the equation for the number of notebooks on the Sasha's desk:
c + c - 6 = 2c - 6
Total number of notebooks on the desk is: 2c - 6
Hence, the formed equation for the green or red notebooks on the Sasha's desk is: 2c - 6
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1. Chandra recorded her quarterly sales in a bargraph. Chandra will get a bors of $5.000her average quarterly sales for the year reach$70,000. What must her sales be for the fourthquarter in order for Chandra to earn the bonus?A $45,000B. $50,000C. 865,000D.60,000
Given:
Chandra get a bonus if average quarterly sales for an year exceeds $70000.
From the bar diagram, we can find the sales for each quarter.
The height of each bar gives the sales for each quarter.
Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.
The sales for the first quarter is $40000.
The sales for the second quarter is $100000.
The sales for the third quarter is $80000.
Let x be the sales for the fourth quarter.
Now, the average of the quarterly sales is,
[tex]\begin{gathered} A=\frac{Sum\text{ of all quarterly sales}}{\text{Number of quarters}} \\ A=\frac{40000+100000+80000+x}{4} \end{gathered}[/tex]Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.
[tex]\begin{gathered} 70000=\frac{220000+x}{4} \\ 70000\times4=22000+x \\ 280000-220000=x \\ 60000=x \end{gathered}[/tex]So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.
Hence, option D is correct.
the value of the expression (-3.69)⁰?
The correct answer solved by indices and the value of the expression (-3.69)⁰ is: 1
What is indices based expression?
In mathematics, the indices expression are those whose base values are either same or constant can be solved with this method. This property states that the when the power is zero for any value or variable, then the output is 1.
According to the question, the given data states that the value of the expression (-3.69)⁰ can be calculated with the concept of indices:
As per indices property: any value or variable whose power is zero, can be consider as 1 in the answer.
Therefore, the value of the expression (a)⁰ = (-3.69)⁰ = 1.
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I need help finding surface area of a figure
The surface area will be the surface area of the rectangular prism, plus the surface area of the triangular prism, minus the area of the base of the triangular prism, so:
For the rectangular prism:
[tex]\begin{gathered} SA_{rp}=2(lw+lh+wh) \\ where \\ l=length=4ft \\ w=width=16ft \\ h=height=6ft \\ SA_{rp}=2(4\cdot16+4\cdot6+16\cdot6) \\ SA_{rp}=2(184) \\ SA_{rp}=368ft^2 \end{gathered}[/tex]For the triangular prism:
[tex]\begin{gathered} SA_{tp}=2ls+bh+lb \\ where \\ l=length=4ft \\ h=height=9ft \\ b=base=12ft \\ s=side=11ft \\ SA_{tp}=2\cdot4\cdot11+12\cdot9+4\cdot12 \\ SA_{tp}=244ft^2 \end{gathered}[/tex]The area of the base of the triangular prism is:
[tex]A=12\cdot4=48ft^2[/tex]Therefore:
[tex]\begin{gathered} SA=SA_{rp}+SA_{tp}-A \\ SA=368ft^2+244ft^2-48ft^2 \\ SA=564ft^2 \end{gathered}[/tex]
A game console is 25% off the regular price of
$300. If sales tax is 6%, what is the total cost of the
game console?
Answer
238.5<br />
Explanation
Based on the given conditions, formulate:
300 × (6% + 1) × (1 − 25%) < br
/>Calculate the sum or difference:
300 × 1.06 × (1 - 0.25)<br
/>Calculate the sum or difference:
300 x 1.06 x 0.75< br />Reorder and group certain terms:
(300 × 1.06) × 0.75<br />Calculate: 318 x 0.75<br />Calculate the product or quotient:238.5< br />get the result: 238.5<br />Answer: 238.5<br />
5. At the annual fall festival, Laney sets up a booth and sells wreaths and flower bouquets She has already received some requests,
so she knows she will need to make at least 8 houquets. Due to a shortage of evergreen branches, she cannot make more than
10 wreaths. In the month leading up to the festival, Laney will have time to put together at most 25 arrangements (either wreaths
or bouquets).
a. Write a system of inequalities for the scenario describing b bouquets and u wreaths
Answer:
Step-by-step explanation:
Let x and y stand for the numbers of Wreath and Flower bouquets, respectively.
We are told that:
x + y [tex]\geq[/tex] 8
and that:
x [tex]\leq[/tex] 10
plus:
x + y [tex]\leq[/tex] 25
-----------------
We can plot these inequalities to define the combinations of x and y that meet the requirements they set forth. See the attached image.
Any combination of wreath and flower bouquets found within the marked trapezoid are valid combinations of bouquets. The sample point (5,10) means that 5 wreath and 10 flower bouquets is a possible solution that meets all the requirements set forth above.
==============
Is (5,10) a valid combination?
x + y [tex]\geq[/tex] 8 5+10≥ 8? YES
x [tex]\leq[/tex] 10 5 [tex]\leq[/tex] 10? YES
x + y [tex]\leq[/tex] 25 5 + 10 [tex]\leq[/tex] 25? YES
Many other combinations are also possible. We need additional information to determine anythng more specific.
Levi needs to write 263,000,700,000 in scientific notation.
What is the sign of the exponent?
The sign of the exponent is the exponent will be positive because the number Levi needs to write in scientific notation is more significant than one. The correct option is c.
What is scientific notation?Scientific writing is a way of writing very large or very small numbers. It is written when a number from 1 to 10 is multiplied by a power of 10.
The number is 263,000,700,000
It is greater than one, so the sign of the exponent (^) will be positive.
Therefore, the correct option is c. The exponent will be positive because the number Levi needs to write in scientific notation is more significant than one.
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The question is incomplete. Your most probably complete question is given below:
The exponent will be negative because the number Levi needs to write in scientific notation is less than one.
The exponent will be negative because the number Levi needs to write in scientific notation is greater than one.
The exponent will be positive because the number Levi needs to write in scientific notation is greater than one.
The exponent will be positive because the number Levi needs to write in scientific notation is less than one.
Solve for u: u^3u^-9. I need this without negative exponents.
EXPLANATION
Given the equation u^3u^9
In this case, we have a product of powers with the same base, so by the properties of the powers, we should add both exponents.
In this case, the adittion is as follows:
3 + (-9) = 3 - 9 = -6
So the power now has a negative exponent, so we need to reverse the fraction in order to get a positive exponent
[tex]u^{-6}[/tex]Reversing the expression:
[tex]\frac{1}{u^6}[/tex]6. Point G is a circumcenter. Solve for x.
G
(2x + 15)°
Point G is a circumcenter, then the x = 37.5 where G is (2x + 15)°.
Point G is a circumcenter.
What is a Circumcenter :The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y).
We can see image,
Then,
(2x + 15)° = 90°
2x + 15 = 90
2x = 90 - 15
We can sum or difference of products,
2x = 75
x = 75/2
We can divide the products,
x = 37.5
Therefore,
Point G is a circumcenter, then the x = 37.5 where G is (2x + 15)°.
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Simply then factor the expression 10W-2(3W+4)+4
Answer:
6(w +2)
Step-by-step explanation:
Factorize the expression:
Multiply each term of (3w + 4) by 4. Then add the constants.
2(3w + 4) + 4 = 2*3w + 2*4 + 4
= 6w + 8 + 4
= 6w + 12
Now, GCF (greatest common factor) of 6w and 12 is 6.
= 6*w + 6*2
= 6(w + 2)
After a concert for a 1000 and 200 people only nine people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again.
Answer:
Out of the 1,200 people who attended the concert in question, 0.75% would not see the band again.
Step-by-step explanation:
There were 1,200 people in total at the concert and out of these, 9 people said that they would not see the band again.
In percentage terms, this is expressed as:
= Number of people who would not see band again / Total number of people who attended x 100%
= 9 / 1,200 x 100%
= 0.75 %
In conclusion, 0.75% of people who attended would not see the band again.
Quality Homes Construction Company orders only lumber that is at least 80% clear-free of defects. including knots and edge defects. In an order containing 65,500 linear feet, what minimum. What amount of lumber will be free of defects?
Quality Homes Construction Company orders only lumber that is at least 80% clear-free of defects. including knots and edge defects. in an order containing 65,500 linear feet, 52,400 linear feet of lumber will be free of defects.
Percentage of Defect-Free Lumber-
Quality Homes Construction Company orders lumber that is at least a certain percentage clear-free of any sort of defects. then they go ahead and order a big supply of lumber. Using percentages from Algebra we calculate the amount of the lumber that will be totally free of any defects. Percentages play an important role in Algebra as well as in Probability and Statistics.
Gives that at least 80% = 0.8 of the lumber is clear free of all defects, the minimum amount of lumber free of all defects will then be
0.8 x 65,500 = 52,400 linear feet of lumber.
Hence, 52,400 linear feet of lumber will be free of defects.
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Which expression is equivalent to (5^-2)^5 x 5^4?
a)5^12
b)5^7
c)1/5^6
d)1/5^40
The expression that is equivalent to (5^-2)^5 x 5^4 from the given equations is c)1/5^6.
How can the expression that is equivalent to (5^-2)^5 x 5^4 be determined?To determine this expression , we will need to simplify the equation ,so as to know the equivalent expression.
The expression that is been given from the question is (5^-2)^5 x 5^4
This expression can be simplified as (5^-10) * (5^4)
Then this expression can be further simplified as :
5^-6
Then this can as well be simplified as 1/(5^6)
This implies that the best option that can be equated with this equation is 1/(5^6).
Therefore, option C is correct.
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janis is 3 years older than her sister. thirty years from now the sum of their ages will be 111. find the current ages of the sisters.
The current ages of the sisters are:
Janis = 27 years oldJanis's sister = 24 years oldInformation about the problem:
Janis = Sister + 3(30+Janis) + (30+Sister) = 111Janis = JSister = STo solve this problem we must establish the equations according to the given data and solve the operations:
J = S + 3 (1)
(30+J) + (30+S) = 111 (2)
We have two equations with two unknowns, substituting the value (J) in the second equation, we have:
30+J+30+S = 111
60 + J + S = 111
J+S = 111-60
J+S = 51
(S+3) + S = 51
2S + 3 = 51
2S = 51-3
2S = 48
S = 48/2
S = 24
Substituting (S) into one of the equations (J) we have:
J = S + 3
J = 24+3
J = 27
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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1. An investment firm proposes a plan to help college graduates save for their future. Historical data has shown that the net worth at age 40 of college graduates who follow this plan is approximately normally distributed with a mean of $1,000,000 and a standard deviation of $250,000.
(a) Sketch a normal curve and label it with the mean and one, two, and three standard deviations on either side of the mean.
(b) Using the empirical rule, about what percent of college graduates who follow this plan will have at least 1.5 million dollars by age 40?
(c) Using the empirical rule, about what percent of college graduates who follow this plan will have between $500,000 and $750,000 by age 40?
(d) Using the empirical rule, what is the 84th percentile of the distribution? Justify your answer.
Considering the Empirical Rule, we have that:
a) The graph is given at the end of the answer.
b) 2.5% of college graduates who follow this plan will have at least 1.5 million dollars by age 40.
c) 13.5% of college graduates who follow this plan will have between $500,000 and $750,000 by age 40.
d) The 84th percentile of the distribution is of $1,250,000.
What does the Empirical Rule state?It states that, for a normally distributed random variable, approximately:
68% of the values in the distribution are within 1 standard deviation of the mean.95% of the values in the distribution are within 2 standard deviations of the mean.99.7% of the values in the distribution are within 3 standard deviations of the mean.For item b, 1.5 million dollars is 2 standard deviations above the mean, and considering the symmetry of the normal distribution, only 2.5% of the net worth are above that threshold.
For item c, these measures are between 2 and 1 standard deviations below the mean. Considering the symmetry of the normal distribution, we have that:
47.5% of the measures are between two standard deviations below the mean and the mean.34% of the measures are between one standard deviation below the mean and the mean.Hence the percentage is:
47.5% - 34% = 13.5%.
For item d, the 84th percentile of the distribution is of one standard deviation above the mean, as:
0.5 + 0.68 x 0.5 = 0.84.
Hence the 84th percentile of the distribution is given by:
$1,000,000 + $250,000 = $1,250,000.
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(7) Write the equation of a line that has a slope of -5 and passes through the point (2, -137
In order to find the equation of the line, take into account that the general form of the expression of the line can be written as follow:
y - yo = m(x - xo)
where m is the slope and (xo,yo) is a point of the line.
in this case you have m = -5 and (xo,yo) = (2,-137). Replace the previous values into the general expression of the line and solve for y:
y - (-137) = -5(x - 2)
y + 137 = -5x + 10
y = -5x + 10 - 137
y = -5x - 127
Hence, the equation of the line is y = -5x - 127
