Answer:
n=2
2(n+8)=20
2n+16=20
-16 -16
2n=4
/2 /2
n= 2
Hope this helps :)
The required value of n is 2.
We have to determine, two times the sum of a number and 8 is twenty. What is the number.
To obtain the number calculation must be done in a single unit;
Here,
Let the number be n,
And sum of number n and 8 is (n+8).
Therefore,
Two times sum of the number = 20
[tex]2 (n+8) = 20 \\\\2n + 2 \times8 = 20\\\\2n + 16 = 20\\\\2n = 20-16\\\\2n = 4 \\\\n = \dfrac{4}{2}\\\\n = 2[/tex]
Hence, The required value of n is 2.
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30 POINTZ
What is the determinant of the coefficient matrix of this system?
Answer:
Determinant of matrix = 12
Step-by-step explanation:
rewrite this system with matrices
[{4 , -3]
[8, -3]]
determinant = 4*(-3) - (-3)*8 = -12 + 24 = 12
are you finding the inverse too?
the system should look like A* v = C
where matrix A is
[{4 , -3]
[8, -3]]
and V = [x , y] vector
C = [-8, 12] vector
Answer:
Explanation: When the determinant of the coefficient matrix of a system of linear equations equals zero it means that at least one equation in the system is a scalar multiple of another equation. Hence it is not possible to find the inverse matrix and so the system cannot be solved.
Step-by-step explanation:
I need help with this
Answer:
Which ones
Step-by-step explanation:
11.a
Range: 16
To find the range, you subtract the biggest number(52) from the smallest number(36)
52-36=16
11.b
Mean: 43.75
To find the mean, you have to add all the numbers, then divide by the total amount of numbers
(36+45+52+40+38+41+50+48)/2 = 43.75
Median: 43
To find the median, the numbers must be put in either ascending or descending order and the middle must be found. In this case, there were 2 numbers(41 and 45) so you add the two and divide by 2.
36,38,40,41,45,48,50,52 (41+45)/2=43
Mode: N/A
The mode is the number that occurs the most and in this case each number is only seen once , so there is no mode
I am going to put the answers for the rest since I've explained the process
12a.
Range: 3655
12b.
Mean: 1014.166667 = 1014.17
Median: 608.5
Mode: N/A
13a.
Mean: You: 4 Friend: 8
Median: You: 17 Friend: 17
Mode: You: N/A Friend: 20
13b.
Your Friend
A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much caffeine would be left in your system after 5 hours? Round to the nearest whole.
Answer:
Amount of caffeine left after 5 hours = 36 mg
Step-by-step explanation:
We are told that the cup has 310 mg of caffeine originally.
Since it decreases by 35 percent or 0.35 each hour, it means that for each additional hour, the new amount of caffeine would be (1 - 0.35) x previous amount i.e. 0.65 x previous amount. Thus;
After 0 hour, we have; 310 mg
After 1 hour, we have; 310(0.65)
After 2 hours, we have; 310(0.65)(0.65)
After 3 hours, we have; 310(0.65)(0.65)(0.65)
We can see this follows a pattern of;
A(t) = 310(0.65)^(t)
Where;
A(t) is the amount left after t hours
And t is time t hours
Thus, amount left after 5 hours is;
A(5) = 310(0.65)^(5)
A(5) = 310 x 0.11603
A(5) ≈ 36 mg
Answer:
36 mg
Step-by-step explanation:
Please refer to the attached image for explanations
helpppppp pleaseeee!!!
Answer:
C (I'm not 100% sure that this is correct)
Step-by-step explanation:
I don't think that an act of genocide in the regions of Africa occurred recently.
Answer:
I think you might get a better answer if you put this question under the social studies category instead of math.
I need some help with Parent Functions
I NEED HELP ASAP PLSSS
Answer:
y = x^2 - 4x - 5
y = (x + 1)(x - 5)
Answer:
[tex] Standard \: form :\:y= {x}^{2} - 4x - 5\\
Factored\: from:\:y = (x + 1) (x - 5)[/tex]
Step-by-step explanation:
[tex]y = (x - 2)^{2} - 9 \\ y= {x}^{2} - 4x + 4 - 9 \\ \red{ \boxed{ \bold{y= {x}^{2} - 4x - 5}}} \\ is \: in \: standard \: form \\ \\ y = (x - 2)^{2} - 9 \\ y = (x - 2)^{2} - {3}^{2} \\ y = \{(x - 2) + 3\} \{(x - 2) - 3 \} \\ y = \{x - 2 + 3\} \{x - 2- 3 \} \\ \purple{ \boxed{ \bold{y = (x + 1) (x - 5)}}} \\ is \: in \: factored \: form[/tex]
A storekeeper wants to mix two types of flour to get 300 pounds, so he can sell it by 2.50$ per pound. If he uses flour worth $2.40 a pound with another flour worth $3.00 a pound, how many pounds of each does he use?
Answer:
90 pounds, 210 pounds
Step-by-step explanation:
Given:
A storekeeper wants to mix two types of flour to get 300 pounds, so he can sell it by 2.50$ per pound.
He uses flour worth $2.40 a pound with another flour worth $3.00 a pound.
Question:
How many pounds of each does he use?
Solution:
Let pounds of one type of flour mixed = [tex]x[/tex]
Then pounds of another type of flour mixed = [tex]300-x[/tex]
Cost of 1 pound of one type of flour = $2.40
Cost of [tex]x[/tex] pounds of one type of flour = [tex]2.4x[/tex]
Similarly,
Cost of 1 pound of another type of flour = $3
Cost of [tex]300-x[/tex] pounds of another type of flour = [tex]3(300-x)=900-3x[/tex]
Cost of mixed flour per pound = $2.5
Total cost of mixed flour per pound = $2.5 [tex]\times[/tex] 300 = $750
Cost of [tex]x[/tex] pounds of one type + Cost of [tex]300-x[/tex] pounds of another type = $750
[tex]2.4x+900-3x=750\\\\ -0.6x+900=750\\ \\ Subtracting\ both\ sides\ by\ 900\\ \\ -0.6x+900-900=750-900\\ \\ -0.6x=-150\\ \\ Minus\ canceled\ by\by\ minus\\ \\ 0.6x=150\\ \\ Dividing\ both\ sides\ by\ 0.6\\ \\ x=90[/tex]
Pounds of one type of flour mixed = [tex]x[/tex] = 90 pounds
Pounds of another type of flour mixed = [tex]300-x[/tex] = 300 - 90 = 210 pounds
Thus, 90 pounds of one and 210 pound of another type of flour mixed.
Answer:
50lb of 3.00
250lb of 2.40
Step-by-step explanation:
Expand each expression. ln (2x)4 4 ln 2 + 4 ln x 4 ln 2 + ln x 8 ln x
Equivalent expression are expressions that have equal values, when expanded. The equivalent expression of ln(2x)^4 is 4ln(2) + 4ln(x))
How to determine the expanded expressionThe expression is given as:
[tex]\ln(2x)^4[/tex]
Apply the following logarithmic rule to the above equation
[tex]\ln(a)^b = b\ln(a)[/tex]
So, we have:
ln(2x)^4 = 4ln(2x)
Next, apply the following product rule of logarithm to the above equation
ln(ab) = ln(a) + ln(b)
So, we have:
ln(2x)^4 = 4 * [ln(2) + ln(x)]
Expand the bracket
ln(2x)^4 = 4ln(2) + 4ln(x))
Hence, the equivalent expression of ln(2x)^4 is 4ln(2) + 4ln(x))
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Answer:
ln (2x)4
✅ 4 ln 2 + 4 ln x
❎ 4 ln 2 + ln x
❎ 8 ln x
ln
4y5
x2
❎ ln 4 - 2 ln x - 5 ln y
✅ ln 4 - 2 ln x + 5 ln y
❎ -8 ln x + 5 ln y
Pip was thinking of a number. Pip halves the number and gets an answer of 87.2. Form an
equation with x from the information.
Answer:
x/2=87.2
Step-by-step explanation:
Pip was thinking of a number - Let's call this number x
Pip halve the number - So half of x = x/2 (or 1/2 x)
And gets an answer of 87.2 - x/2=87.2
So your equation would be x/2=87.2
I hope this helps :)
Final answer:
Pip's mystery number is found by taking the equation x / 2 = 87.2, where x is the original number. By solving it, we find that x = 174.4.
Explanation:
Pip is thinking of a number. When Pip halves this number, the result is 87.2. To formulate an equation with x based on this information, we consider that halving a number is equivalent to multiplying that number by 0.5 or dividing it by 2.
Therefore, we can represent the situation with the equation x / 2 = 87.2. This equation states that half of Pip's unknown number (x) equals 87.2.
To solve for x, we multiply both sides of the equation by 2:
x = 87.2 × 2
Which simplifies to:
x = 174.4
This means that Pip was thinking of the number 174.4.
Please help question in picture
Answer:
I think the answer is B
Step-by-step explanation:
180 - 104 - 36 = 40
How do you write 8.91 x 10⁴ in standard form?
Answer:
89100
Step-by-step explanation:
all you do it move the decimal place over 4 to the right
Sue and Kathy have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 flat rate fee. What is the maximum number of miles they will be able to travel in the cab
Answer:
The answer should be 6 miles..
3(6)x2=20
Step-by-step explanation:
how many solutions does this eq
Answer:
There's one solution to this equation and that is 2
Step-by-step explanation:
5 (2x-3) = 5 multiply inside the parenthesis by 5
10x - 15 = 5 add 15 to both sides
10x - 15 + 15 = 15 + 5
10x = 20 divide both sides by 10
x = 2
What is the circumference of a circle
with a diameter of 4?
Type in your response.
Answer:
12.57
Step-by-step explanation:
hope this helps
Answer:
3.14 x 4 = 12.57
Step-by-step explanation:
The scale of the drawing was 1 millimeters,2 meters in the drawing, the lawn in the backyard is 28 millimeters long, what is the length of the actual lawn
Answer:
The length of the actual lawn is 56 meters.
Step-by-step explanation:
Given:
The scale of the drawing was 1 millimeters : 2 meters, in the drawing the lawn in the backyard is 28 millimeters long,
Now, to find the length of the actual lawn.
Let the length of the actual lawn be [tex]x.[/tex]
The length of the lawn in the drawing = 28 millimeters.
The scale of the drawing was 1 millimeters : 2 meters.
So, 1 millimeters is equivalent to 2 meters.
Thus, 28 millimeters is equivalent to [tex]x.[/tex]
Now, to get the length of the actual lawn by using cross multiplication method:
[tex]\frac{1}{2} =\frac{28}{x}[/tex]
By cross multiplying we get:
[tex]x=56\ meters.[/tex]
Therefore, the length of the actual lawn is 56 meters.
a = 16, b = 30, c = ?
what is c equivalent to
Answer:
ok the anwer is C= 34
16^2+30^2=1156
√1156=34
so double check
16^2+30^2=34^2
256+900=1156
√1156=34
Step-by-step explanation:
Substituting the given values of Simple Algebra 'a' and 'b' into the equation a+b=c we get 16 + 30 = c. This simplifies to c = 46, so the answer is C) 46.
We are given that a is equal to 16 and b is equal to 30. The equation given is a+b=c. Substituting the given values of 'a' and 'b' into the equation, we get 16 + 30 = c. This simplifies to c = 46. Therefore, the answer is C) 46.
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The probable question may be:
If a is equal to 16, b is equal to 30, what is the value of c in the equation a+b=c?
Additional Information: In this question, we have two known values, a and b, which are 16 and 30, respectively. To find the value of c, we'll use the equation a+b=c Solving this equation will give us the equivalent value of c.
Options:
A) 14
B) 36
C) 46
D) 62
Find the quotient.
214
27
A) 22
B) 27
C) 221
D) 298
Please respond quickly thanks
Answer:
cookies
Step-by-step explanation:
The lighthouse was moved 230 feet inland at a rate of 40 feet per hour. How many hours did it take to move the lighthouse? What must you do to solve this? *
1. add 230 ft and 40 fph
2. subtract 40 fph from 230 ft.
3. multiply 230 ft by 40 fph
4. divide 230 ft by 40 fph
Answer:
5.75
Step-by-step explanation:
4) 230 ÷ 40 = 5.75
Answer:
lol
Step-by-step explanation:
Lanie's Room Is In The Shape Of A Parallelogram. The Floor Of Her Room Is Shown And Has An Area Of 108 Square Feet. Lanie Has A Rectangular Rug That Is 6 Feet Wide And 10 Feet Long. Will The Rug Fit On The Floor Of Her Room? Explain.
Answer:
The rug will fit on the floor of her room
Step-by-step explanation:
The floor's area is given as 108
Will the rug fit this area of 108 sq. ft.?? We have to find the area of the rug and if it is less than 108, then definitely it will fit.
The rug is in the shape of a rectangle. The area of a rectangle is length times width.
Given length 10 and width 6, the area is:
Area of Rectangle = 10 * 6 = 60
Area of Rug = 60
Is 60 less than 108?? Yes, definitely!
The rug will fit on the floor of her room
Answer:
yessssss
Step-by-step explanation:
Tyler kicks a football into the air from a height of 3 feet with an initial vertical velocity of 48 feet per second. Use the vertical motion model, h= -16t^2 + vt + s, where v is the initial velocity in feet per second and s is the height of the football. Round your answer to the nearest tenth if necessary. Maximum height: Feet?
Answer:
39 feet
Step-by-step explanation:
In this problem, the height of the football at time t is modelled by the equation:
[tex]h(t)=-16t^2+vt+s[/tex]
where:
s = 3 ft is the initial height of the ball
v = 48 ft/s is the initial vertical velocity of the ball
[tex]-32 ft/s^2[/tex] is the acceleration due to gravity (downward)
Substituting these values, we can rewrite the expression as
[tex]h(t)=-16t^2+48t+3[/tex]
Here we want to find the maximum height reached by the ball.
This is equivalent to find the maximum of the function h(t): the maximum of a function can be found requiring that the first derivative of the function is zero, so
[tex]h'(t)=0[/tex]
Calculating the derivative of h(t), we find:
[tex]h'(t)=-32 t+48[/tex]
And imposing it equal to zero, we find the time t at which this occurs:
[tex]0=-32t+48\\t=-\frac{48}{-32}=1.5 s[/tex]
And substituting back into h(t), we can find the maximum height of the ball:
[tex]h(1.5)=-16\cdot (1.5)^2 + 48\cdot 1.5 +3=39 ft[/tex]
Using the vertical motion model, the time when the football reaches maximum height is calculated to be 1.5 seconds. Substituting this into the model, the maximum height of the football is found to be 39 feet.
Explanation:To find the maximum height, we consider the vertical motion model h = -16t^2 + vt + s, where v is initial velocity in feet per second and s is the initial height of the football. The information provided include: initial velocity v = 48 feet/sec and initial height s = 3 feet.
The maximum height reached by the football is achieved when the velocity becomes zero (time at which the ball reaches its highest point). This time can be calculated using the formula t = v / (2 * g), with g being half the coefficient of t^2 (g = 16 feet/sec^2 in this case). Substituting v and g gives us approximately t = 1.5 seconds.
We then substitute this time into our initial equation to find the maximum height. This gives: h = -16*(1.5)^2 + 48*1.5 + 3 = 39 feet. Therefore, the maximum height reached by the football is 39 feet.
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What is the value of x?
10 + 2х
Answer:
x = -5
Step-by-step explanation:
Get 2x by itself, so subtract to the other side. 2x = -10. Then get x alone, so divide by 2. Then your answer is -5
PLEASE MARK BRAINLIEST!
Answer:
I think you meant a "=" instead of a "+"
Step-by-step explanation:
10 = 2x
10 = 2x
2 2
5 = x
Your answer is 5I hope this helps!
- sincerelynini
A circle is centered on point BBB. Points AAA, CCC and DDD lie on its circumference. If \orange{\angle ADC}?ADCstart color orange, angle, A, D, C, end color orange measures 35^\circ35 ? 35, degree, what does \blue{\angle ABC}?ABCstart color blue, angle, A, B, C, end color blue measure?
Answer:
∠ABC=[tex]70^0[/tex]
Step-by-step explanation:
In the attached diagram,
If Angle ADC =[tex]35^0[/tex]
Since the center of the circle is at B
∠ABC is the angle subtended at the center by arc AC.
∠ADC is the angle subtended at the circumference by arc AC.
Theorem
The angle subtended by an arc at the center of a circle is double the size of the angle subtended by the same arc at the circle's circumference.
Therefore by the theorem above
∠ABC = 2 X ∠ADC
=2 X 35
∠ABC=[tex]70^0[/tex]
The
The point (2,6) is on the line given by which equation below?
Answer:
A y = 3x
Step-by-step explanation:
We can check each line to see if the point is on it
A y = 3x 6 = 2*3 6=6 this is true so the point is one the line
B y = 4-x 6 = 2-4 6 = -2 false
C y = -3x 6 = -3(2) 6=-6 false
D y =-x+4 6 = -2+4 6 = 2 false
A planter in the shape of a
square pyramid is being filled
with soil. Soil cost $0.78 per
cubit cubic foot What is the
cost of filling the planter with
soil?
a $24.00
b $8.00
c. $6 24
d. $18.72
The cost of filling the planter with soil is $6.24. option C
What is the cost of filling the planter with soil?
Length = 2 ft
Width = 2 ft
Height = 6 ft
Volume of the square based pyramid = ⅓ × length × Width × height
= ⅓ × 2 × 2 × 6
= ⅓ × 24
= 8 cubic feet
Cost of soil per cubic foot = $0.78
Therefore,
Cost of filling the planter with soil = Volume of the square based pyramid × Cost of soil per cubic foot
= 8 × $0.78
= $6.24
Complete question:
A planter in the shape of a square pyramid with dimensions 2 ft by 2 ft by 6 ft is being filled with soil. Soil cost $0.78 per cubit cubic foot What is the cost of filling the planter with soil?
a $24.00
b $8.00
c. $6 24
d. $18.72
Which statement is the clearest translation of 4 j - 9 = 1?
A number, times four minus nine, is one.
A number times, four minus, nine is one.
A number times four, minus nine, is one.
A number times four minus nine is one.
Answer:
i think:
A number times four minus nine is one
The ratio of boys to girls in the class is 4:5. How many boys are there if there are 27 students?
Answer:
12 boys
Step-by-step explanation:
boys : girls
4 : 5
Add a total column
boys : girls: total
4 : 5 : 4+5 =9
To get to a total of 27 we multiply each term by 3
boys : girls: total
4*3 : 5*3 : 9*3
12 :15 :27
There are 12 boys
Final answer:
There are 12 boys in the class of 27 students.
Explanation:
The ratio of boys to girls in the class is 4:5, which means for every 4 boys, there are 5 girls. To find out how many boys there are, if there are 27 students in total, we need to work with this ratio.
Step-by-step Solution:
Determine the total number of parts in the ratio by adding the parts for boys and girls together: 4 parts for boys + 5 parts for girls = 9 parts in total.Divide the total number of students by the total number of parts to find out how many students make up 1 part: 27 students ÷ 9 parts = 3 students per part.Multiply the number of parts for boys by the number of students per part to find the total number of boys: 4 parts × 3 students per part = 12 boys.Therefore, there are 12 boys in the class of 27 students.
When Alex bought his new car in 2006, it was worth $28,350. In 2015, it was worth a third of its original value. Find the percent of change in the value of the car from 2006 to 2015.
The percent change in the value of the car from 2006 to 2015 is approximately -66.67%, meaning the car's value decreased by about 66.67% over that time period.
Explanation:The subject of this problem is percent change, and it is a mathematical concept used to understand the degree of change over time. In this case, the percent change in the value of the car from 2006 to 2015. As per the problem, the value of the car in 2006 was $28,350. In 2015, the value dropped to a third of the original value. Therefore, the value of the car in 2015 was $28,350 / 3 = $9,450.
Now, to find the percent change, you use the formula:
Percent Change = ((New Value - Original Value) / Original Value ) * 100
Substituting the given values in the formula, you get:
Percent Change = (($9,450 - $28,350) / $28,350) * 100
Simplifying that further, you find that the percent change is approximately -66.67%. This means, the value of the car decreased by approximately 66.67% from 2006 to 2015.
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Kaci bought a birthday cake like the one shown below. If a=5inches,b=5inches,c=10 inches, and d=3inches what is the volume of the cake
Answer:
75+150=225 in^2
Step-by-step explanation:
Separate each layer.
Area1+Area2= Total area
A1= a*b*d
A2=a*c*d
A1=5*5*3=75 in^2
A2=5*10*3=150 in^2
75+150=225 in^2
Answer:
210
Step-by-step explanation:
As the SAT is used for college admissions the GRE is used for graduate school admissions. A sample of verbal and
quantitative scores from the GRE are both normally distributed, with the values of H and a are given below.
Verbal Quantitative
670 550
1121 148
Kevin scored 610 on the verbal section and 700 on the quantitative section. Use the standard deviation as a unit of
measurement to comnare Kevin's verhal and quantitative scores on the GRE
Answer:
Step-by-step explanation:
Kevin’s verbal score is 610 is 140 points above the mean,which is 470. the standard deviation is 121 so his verbal score is 140/121≈1.16 standard deviations above the mean. Kevins quantitative score of 700 is 150 points above the mean, which is 500. The standard deviation is 148, so his quantitative score is 150/148 ≈ 1.01 standard deviation above the mean.Thus, Kevins verbal score is better than his quantitative score.