Answer:
Therefore elements greater than 5 is only 11.
Step-by-step explanation:
Set:
A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.
Example:
Let A be the set for {-8, 0, 5, 11}
∴ A = {-8, 0, 5, 11}
This is the set ' A 'consists of elements as a number -8, 0, 5, 11.
Therefore elements greater than 5 is only 11. ( 5 will not come as it is mentioned greater than 5 )
-8, 0 are less then 5
For what value of the variable the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)?
The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2
Step-by-step explanation:
We have to write the given problem mathematically to solve it
So,
[tex]4(5x-8) = 2(4-x)+4[/tex]
First of all, distributive property will be applied
[tex]20x-32 = 8-2x+4\\20x-32 = 12-2x[/tex]
We have to isolate the variable on one side of the equation
Adding 2x on both sides of equation
[tex]20x-32+2x = 12-2x+2x\\22x-32 = 12[/tex]
Addition property of equality with 32
[tex]22x-32+32 = 12+32\\22x = 44[/tex]
Division Property of Equality (22)
[tex]\frac{22x}{22} = \frac{44}{22}\\x = 2[/tex]
Hence,
The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2
Keywords: Linear equation, variables
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The value of Peter's house has risen 30% a year for the last 3 years. If the value of Peter's home 3 years ago was $120,000.00, what is the value now? A. $156,000.00 B. $228,000.00 C. $202,800.00 D. $263,640.00
Step-by-step explanation:
The price has gone up by 30% each year so each year it is 130% compared to last year. that means a price rate of 1.3^n, with n as number of years gone by. In this case n=3 so 1.3^3=2.197. $120,000.00×2.197=$263,640.00, which is D
_y =-2x +7
Do any of y’all know the y intercept
y=0
y=2x+7
x= 7/2 =3.5
- 2×3.5+7 =0
0=- 2×3.5+7
y. x
Please answer will mark as brainliest
Answer:
ANSWER
Step-by-step explanation:
Factoring a polynomial reverses the process of __________________ two polynomials.
Answer:
Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication.
Step-by-step explanation:
Factoring a polynomial is the reverse of multiplying two polynomials and involves reversing the distributive law, returning an expression to its original factors or multiples.
Factoring a polynomial reverses the process of multiplying two polynomials. When you factor a polynomial, you are essentially reversing the distributive law and turning an expression back into its factors or multiples. An expression is a mathematical phrase that can include numbers, variables (abbreviated as var), and the product or quotient of these, all separated by plus or minus signs. Factoring out common components helps to simplify an expression, just as using factors of ten can help to assess differences and cancel out units in algebra.
Factoring polynomials is a crucial part of algebraic manipulation, allowing us to find expressions that, when evaluated, produce the same value. This operation is important in solving equations and can also reveal interesting properties of numbers, especially within the complex number system. For example, second-order polynomials may have two roots and can be factored, such as x² + 1 which can be factored into (x - i)(x + i), where i is the imaginary unit.
Given the line below.
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.
Answer:
The equation of the line in point slope form is equal to
[tex]y+2=(x+2)[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(-2,-2) and (2,2)
substitute the values
[tex]m=\frac{2+2}{2+2}=1[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=1\\(x1,y1)=(-2,-2)[/tex]
substitute the values in the formula
[tex]y-(-2)=(1)(x-(-2))[/tex]
[tex]y+2=(x+2)[/tex]
I need help with filling in first y variable please
Answer: 5
Step-by-step explanation:
)$;&&;:)&!;$:!:&:?($;!:!::99
Answer:
In the given equation : y= 128-4x (select the coordinate and plug in the x and y)
y= 128-4(0)
y= 128-0
y= 128
Therefore, the value for y is 128
Is 60/100 equal fraction
Answer:
3/5
Step-by-step explanation:
60/100 = 6/10 ( given by 10th table) = 3/5 (give by 2nd table)
2X plus 8Y minus 3X +9+2y
15 is 37.5 of what number
Answer:
40
Step-by-step explanation:
15 / 37.5% = 40
Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4•2^8
To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.
Use algebra tiles to find (8x2+4)-(8x2+2)
Answer:
2
Step-by-step explanation:
(8x^2+4)-(8x^2+2)
8x^2+4-8x^2-2
4-2
2
Can someone Help Me With The Answers?
Answer:
5 1/3 x 2 3/4= 3/4 5 x 2 = 10
Step-by-step explanation:
Multiply fractions 1/3 x 3/4= 3/4
what is the value of the first 4 in this...4,384,488?
Find the indicated side of the triangle !!!
Answer:
The correct answer is b = 6 √3 units
Step-by-step explanation:
Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:
1 : √3 : 2, where 2 is the hypotenuse.
Upon saying that, we have that in our triangle:
Hypotenuse = 12 units
a = 6 units
b = 6 √3 units
The correct answer is b = 6 √3 units
Answer:
b = 6
Step-by-step explanation:
The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is
Sine = opposite/hypothesis, since we are to find the value of b. Thus,
Sine 30 = b/12
0.5 =b/12
By cross multiplying,
b = 0.5 × 12
b = 6
How many hundredths are in 539.26? Is the answer 53,926
Answer:
there are 6 hundredths
Step-by-step explanation:
the 6 is in the hundredths decimal place so the answer would be 6
Answer:
53926
Step-by-step explanation:
539.26x100=53926
James needs to mix a 20% fungicide solution with a 60% fungicide solution to create 200 milliliters of a 26% solution. How many milliliters of each solution must James use?
170 ml of 20 % fungicide solution is mixed with 30 ml of 60% fungicide solution to create 200 milliliters of a 26% solution
Solution:
The final solution has 200 ml
Let "x" be the ml of 20 % fungicide solution
Then, (200 - x) is the ml of 60% fungicide solution
Then according to question, we can say,
"x" ml of 20 % fungicide solution is mixed with (200 - x) ml of 60% fungicide solution to get 200 ml of 26 % solution
We can frame a equation as:
[tex]x \times 20 \% + (200-x) \times 60 \% = 200 \times 26 \%\\\\\text{Solve the equation for "x" }\\\\x \times \frac{20}{100} + (200-x) \times \frac{60}{100} = 200 \times \frac{26}{100}\\\\\text{Simplify the above expression}\\\\x \times 0.2 + (200-x) \times 0.6 = 26 \times 2\\\\0.2x + 120 - 0.6x = 52\\\\-0.4x = 52 - 120\\\\-0.4x = -68\\\\x = 170[/tex]
Thus 170 ml of 20 % fungicide solution is used
Then , (200 - x) = 200 - 170 = 30 ml of 60% fungicide solution is used
James needs to mix 160 milliliters of the 20% solution with 40 milliliters of the 60% solution, in order to achieve a 26% solution in a total volume of 200 milliliters.
Explanation:To solve the problem, set up two equations based on the total volume and the percentage of the fungicide.
Let x be the volume of the 20% solution, and y be the volume of the 60% solution. Hence, the equation based on volume is x + y = 200 (since the total volume is 200 milliliters).The second equation will be based on the percentage of the fungicide in the solution as follows: 0.20x + 0.60y = 0.26*200 (reflecting the fact that James wants a 26% solution).Solving these two equations simultaneously, we get x = 160 milliliters and y = 40 milliliters.
Therefore, James needs to mix 160 milliliters of 20% fungicide solution and 40 milliliters of 60% fungicide solution to get a 26% solution of 200 milliliters.
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Every item in the Just a Dollar store is priced at $1.00. When Mary Jo opens the store, there is $125.50 in the cash register. When she counts the money in the cash register at the end of the day, the total is $1,085.60. If the sales tax rate is 8.5%, howmany items were sold that day?
Answer:
885
Step-by-step explanation:
Given: Amount available in the cash register= $ 125.50.
Every item is just priced at $1.00
Total amount of money at the end of day= $1085.60
Sales tax rate= 8.5%
First finding total revenue generated at the end of day,
Total revenue at the end of day= [tex]Total\ cash\ at\ the\ end\ of\ day - Cash\ available\ at\ the\ beginning\ of\ day[/tex]
∴ Total revenue at the end of day= [tex]1085.6- 125.5= \$ 960.1[/tex]
Lets assume total number of item sold be "x".
Now, forming an equation to determine the total revenue generated at the end of day.
We know, Total revenue is the number of item sold at $1 and sales tax revenue generated on the number of item sold.
⇒ [tex]\$1 \times x + \frac{8.5}{100} \times x= \$ 960.1[/tex]
⇒[tex]1x+0.085x= 960.1[/tex]
⇒ [tex]1.085x= 960.1[/tex]
dividing both side by 1.085
⇒[tex]x= \frac{960.1}{1.085}[/tex]
∴ x= [tex]884.884[/tex] [tex]\approx 885[/tex]
Hence, total number item sold in the day is 885
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
A.(-2,2)
B.(-1,2)
C.(2,-2)
D.(2,-1)
Answer:
B.(-1,2)
Step-by-step explanation:
In a function, there can not be two different values of y corresponding to the same value of x.
See the graph attached.
Here, the points on the graph are (1,2), (2,-3), (-2,-2) and (-3,1).
If we consider point (-2,2) then there will be two points corresponding to the same x value i.e. (-2,-2) and (-2,2).
Similarly, if we consider the point (2,-2) or (2.-1) then also there becomes more than one values of y for a single value of x i.e. x = 2.
So, if we consider the ordered pair (-1,2) then only the graph still represents a function. (Answer)
Answer:
B.(-1,2)
Step-by-step explanation:
The Skittles jar has a radius of 3.5 cm and a height of 11.5 cm. Using the two given boxes for reference what would be a good estimate for the number of jelly beans in the jar?
Answer:
1052
Step-by-step explanation:
The two given boxes for reference are presented below.
Since we know the dimensions of the first container, we can calculate its volume.
[tex]V_1= 5 \text{cm} \cdot 4 \text{cm} \cdot 4 \text{cm} = 80 \text{cm}^3[/tex]
The first container held 192 skittles. Using that fact, now that we know the volume of the first box, we can calculate the volume of a single skittle.
[tex]v = \frac{80}{192} = 0.416 \approx 0.42 \text{cm}^3[/tex]
The second container held 258 skittles.
The volume of the second box is:
[tex]V_2 = 12 \text{cm}\cdot 3 \text{cm} \cdot 3 \text{cm} = 108 \text{cm}^3[/tex]
Using this facts, the volume of a single skittle would be
[tex]v = \frac{108}{258} = 0.418 \approx 0.42 \text{cm}^3[/tex]
Therefore, the volume of single skittle is around to 0.42 cm³.
A skittle jar is a cylinder. Its volume is calculated by the formula
[tex]V = r^2h \pi[/tex],
where [tex]r[/tex] is the radius and [tex]h[/tex] is the height. From the given data, we have [tex]r = 3.15 \text{cm}[/tex] and [tex]h = 11.5 \text{cm}[/tex]. Hence, the volume of the jar is
[tex]V = 3.5^2 \cdot 11.5 \cdot 3.14 = 442 \text{cm}^3[/tex]
Now, we can determine the number of skittles in the jar. Let [tex]n[/tex] be the number of skittles in the jar. Then,
[tex]n = \frac{\text{volume of the jar}}{\text{volume of a skittle}} = \frac{V}{v} = \frac{442}{0.42} = 1052.38 \approx 1052\\[/tex]
Final answer:
The best estimate for the number of jelly beans in the jar is approximately 1,000 beans, calculated based on linear dimensions and volume estimation.
Explanation:
The best estimate for the number of jelly beans in the jar would be approximately 1,000 beans.
To estimate this, we first look at linear dimensions and consider a rectangular jar. Assuming the jar is about 10 beans deep, 10 beans wide, and 10 beans high, the volume would be around 10 x 10 x 10, giving us ~ 1,000 beans inside.
Deposits of gold can be found in the deep ocean.
Please select the best answer from the choices provided
OT
OF
The given statement, "Deposits of gold can be found in the deep ocean" is true.
Explanation:
According to the report of National Ocean service, oceans have nearly 20 million pounds of gold that are suspended in normal sea water to the tune of parts per trillion. Deep down the ocean floor, larger amount of gold are encased in rocks that could be mined. But mining in the deepest part of the ocean is not much cost efficient and would not bring any profits. Moreover, since gold will not get decomposed by salt water, it stays undisturbed on the ocean floor.
Answer:
ture!!!!!
Step-by-step explanation:
Are the ratios 3:7 and 1:2 equivalent
Answer:
Step-by-step explanation:
no they are not equivalent
Answer:
No
Step-by-step explanation:
3 divided by 3 gives you 1, whatever you do on top you have to do in the bottom .
7 divided by 3 does not give you 2. Since you cant apply the same rule of divided by 3 and getting a whole number. They are not the same.
What is the simplified value of the expression below rounded to the nearest hundredth?
3.5x2+9
10.4-14X2
0 0.28
0.89
1.91
02.11
Answer:
The correct answer is D. 2.11
Correct statement and question:
What is the simplified value of the expression below rounded to the nearest hundredth?
(3.5x2+9)/(10.4-1.4x2)
Source: Previous question that can be found at brainly
Step-by-step explanation:
Let's solve and simplify, this way:
(3.5 x 2 + 9)/(10.4 - 1.4 x 2)
=(7 + 9)/(10.4 - 2.8)
= 16/7.6
= 2.11 (Rounding to the next hundredth)
The correct answer is D. 2.11
Answer:
its d
Step-by-step explanation:
If a population consists of 54,000,000 people and a census is taken, how many people are sampled?
Answer:
A.54,000,000
Step-by-step explanation:
apexs
If a = 6 and c = 15, what is the measure of ∠A? (round to the nearest tenth of a degree)
Answer:13.7 degrees
Step-by-step explanation:
a^2+b^2=c^2
15^2-6^2=189
[tex]\sqrt{189\\[/tex]
13.7 degrees
How many solutions does this equation have?
9c − 10 = –10c − 10
The equation has only one solution, c = 0.
Explanation:To determine the number of solutions for the given equation, we need to solve it and see if there is a unique solution, infinitely many solutions, or no solution at all.
First, we can simplify the equation by combining like terms:
9c - 10 = -10c - 10
Adding 10c to both sides, we get:
19c - 10 = -10
Adding 10 to both sides, we have:
19c = 0
Finally, dividing both sides by 19, we find the value of c:
c = 0
The equation has only one solution, c = 0.
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A model house is 12 inches wide. If it is built with a scale of 3 in : 20 feet, then how wide is the real house?
Answer:
80 inches wide
Step-by-step explanation:
3 inches = 20 feet. 12/3=4. 4*20=80 inches
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
minated when you add them?
4x - 2y=7
3x - 3y=15
Answer:
Below.
Step-by-step explanation:
You could multiply the first equation by 3 and the second one by -2 so that the 2 y terms would be -6y and 6y:
12x - 6y = 21
-6x + 6y = -30
Adding these will eliminate the y variable.
(4x2 – 9x - 1) + (x2 – 5x – 3)
Answer:
5x^2-14x-4
Step-by-step explanation:
(4x^2-9x-1)+(x^2-5x-3)
4x^2+x^2-9x+(-5x)-1+(-3)
5x^2-9x-5x-1-3
5x^2-14x-4
please help What is the domain of the following function?
Answer:
Let's use these two sets given to explain what is the domain.
Each value from the left set is x, and from the right is f(x).
If we plug any x from the left set in the function, we'll get f(x) that corresponds to it and that's exactly what the arrows are showing.
Domain of the function is, basically, a set of all values x can have.
In this case, it's easy to see, those are all members of the left set (-6, 1, 5, 8), but sometimes this set can have lots and lots of members, even infinity.