what positive whole number can you multiply by 3 and add1,or multiply by 2 and add 8?
Answer:
7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.
Step-by-step explanation:
Multiplying the positive whole number 7 by 3 and adding 1 will get:
(7 × 3) + 1 = 21 + 1 = 22
Multiplying the positive whole number 7 by 2 and adding 8 will get:
(7 × 2) + 8 = 14 + 8 = 22
Therefore, 7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.
The sum of two numbers is 56. Their product is 108. Find the larger number?
Write in solution i will mark brainliest...
Lesson: Word problems involving quadratic and rational equations
Answer: the larger number is 54
Step-by-step explanation:
x + y = 56
xy = 108
x = 56 - y
substitute the x value in equation
(56 -y) y = 108
56y - y^2 = 108
y^2 - 56y + 108 = 0
=(y - 2)(y - 54)
The two numbers are 2 and 54.
What is multiplication?Multiplication is the process of adding a number up to a given number.
Given that, the sum of the two numbers is 56 and their product is 108.
Let the numbers are x and y then,
x + y = 56 (1)
xy = 108
x = 108/y
Substitute x = 108/y into equation (1):
108/y + y = 56
108 + y² = 56y
y² -56y + 108 = 0
y² -54y -2y + 108 =0
y(y - 54) -2(y - 54) = 0
(y - 2)(y - 54) = 0
y =2 or y = 54
Now, for y = 2 the value of x is 54 and for y = 54 the value of x is 2.
Hence, the two numbers are 2 and 54.
To learn more about multiplication, click here:
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what is the height of the cone if a metal sphere of radius 4m is melted to form a cone of base 5m?
9514 1404 393
Answer:
10.24 m
Step-by-step explanation:
The volume formulas for the figures are ...
V = 4/3πr³ . . . sphereV = 1/3πr²h . . . coneYou can fill in the given radii and set the volumes equal:
4/3π(4 m)³ = 1/3π(5 m)²h
h = (4^4)/(5^2) m . . . . . divide by the coefficient of h
h = 10.24 m
The height of the cone is 10.24 meters.
pls give me the answer....
7½ – 4/7 ×7/8
= 15/2 – 1/2
= 7
Answer:
its 7
Step-by-step explanation:
The graph of g is a vertical shrink by a factor of 1/3 and a reflection in the y-axis, followed by a translation 3 units right of the graph of f(x)=x2. Write a rule for g.
Answer: g(x) = (1/3)*(-x)^2 + 3.
Step-by-step explanation:
Let's define all the transformations in a general way,
A vertical contraction/dilation of a scale factor a is written as:
g(x) = a*f(x)
where if a > 1, it is a dilation.
if 0 < a < 1, it is a contraction.
A reflection in the y-axis changes the value of the x-component and leaves the y-component invariable, then this transformation is written as:
g(x) = f(-x).
A translation of A units up (A positive) is written as:
g(x) = f(x) + A.
Then for this case we have:
A dilation with scale factor 1/3.
g(x) = (1/3)*f(x)
A reflection over the y-axis.
g(x) = (1/3)*f(-x)
A translation of 3 units up.
g(x) = (1/3)*f(-x) + 3
(in that order, remember that the order in which you applly the transformations matters)
Then g(x) = (1/3)*f(-x) + 3
and f(x) = x^2, so we can replace that in the equation for g(x)
g(x) = (1/3)*(-x)^2 + 3.
Transformation involves changing the position of a function.
The rule for g is: [tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
The parent function is given as:
[tex]\mathbf{f(x) = x^2}[/tex]
The rule of vertical shrink by a factor of 1/3 is:
[tex]\mathbf{(x,y) \to (x,\frac 13y)}[/tex]
So, we have:
[tex]\mathbf{f'(x) = \frac 13x^2}[/tex]
The rule of reflection across the y-axis is:
[tex]\mathbf{(x,y) \to (-x,y)}[/tex]
So, we have:
[tex]\mathbf{f''(x) = \frac 13(-x)^2}[/tex]
[tex]\mathbf{f''(x) = \frac 13x^2}[/tex]
The rule of translation 3 units right is:
[tex]\mathbf{(x,y) \to (x - 3,y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
Hence, the rule for g is: [tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
Read more about transformations at:
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Simplify 32 divided by 7 eigths
Answer:
256/7 = 36 4/7 =36.571
Step-by-step explanation:
How long is 50% of a 24-hour day?
Answer: Its 12 hours
Step-by-step explanation:
50% is equal to 1/2 so half of a day is 12 hours :)
Courtney makes 80 % 80%80, percent of the free throws she attempts. She often stays after practice to shoot sets of 10 1010 free throws. Assume that the results of free throws are independent from each other. What are the mean and standard deviation of the number of free throws she makes in each set of 10 1010?
Answer:
Mean: 8 free throws
Standard Deviation: 1.3 free throws
Step-by-step explanation:
This is a binomial random variable, so we can use the formula [tex]ux = np[/tex], where n is the number of trials, and p is the probability. Since we know both of these values, just plug it in for the mean. [tex]ux = .8*10 = 8[/tex]
For the standard deviation, we use the formula σ = [tex]\sqrt{np(1-p)}[/tex]. Since we know what np is, we can replace those 2, giving us [tex]\sqrt{8(1-p)}[/tex]. Again, p is our probability, so this gives us our final equation of [tex]\sqrt{8(1-.8)}[/tex], which simplifies to [tex]\sqrt{8(.2)}[/tex]. Using a calculator, we get 1.264, which is 1.3 rounded to the nearest tenth.
Hope this helped :)
Answer: Mean: 8
Standard Deviation: 1.3
Step-by-step explanation:
What does 6 1/2 mean in the situation
Answer:
2 ÷ 61
Step-by-step explanation:
The / means division so it's practically means you must divid
What is the value of x in the equation −6 + x = −3?
Answer:
x = 3
Step-by-step explanation:
Simply solve for x.
In this equation all we have to do is add 6 to both sides of the equation to solve for x.
x = 3
The answer is 3.
#teamtrees #WAP (Water And Plant)
Answer:
3
Step-by-step explanation:
Which inequality is shown in the graph below?
Answer:
< is less than >greater than < with line is less than or equal to > with line is greater than or equal to
Step-by-step explanation:
i couldnt see you picture so heres this
Errol bought a skateboard helmet on sale at 40% off. The original price was $49.95. What is the amount of discount?
Answer:
[tex]Discount = \$19.98[/tex]
Step-by-step explanation:
Given
[tex]Amount = \$49.95[/tex]
[tex]Price\ Off = 40\%[/tex]
Required
Determine the discount
The discount is calculated by multiplying the price off by the original price:
[tex]Discount = Amount * Price\ Off[/tex]
[tex]Discount = \$49.95 * 40\%[/tex]
Convert % to decimal
[tex]Discount = \$49.95 * 0.40[/tex]
[tex]Discount = \$19.98[/tex]
Hence, the amount of discount is $19.98
see image help me as fast as possible, please
Answer:
39
Step-by-step explanation:
to find the area of the triangles use the equation
3(5)(.5)=7.5
since we have 4 triangles, multiply that by 4, which equals 30
Now find the area of the square
3(3)=9
Now add the area of the square and the area of the triangles
Answer:
39 km
Step-by-step explanation:
Surface area=area of square +area of triangles
=3*3 + 0.5*3*5*4
=39
(4 triangles)
3x – 8y > 32
what the answer
Answer:
y < 3/8x-4
Step-by-step explanation:
Write the slope-intercept form of the equation of the line that passes through the given points.
(1, 1) and (-3, -3)
Answer:
Slope=1
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where x1,y1= (1, 1) and X2,y2=(-3, -3)
Slop=1+3/1+4
=4/4
=1
So the slope is 1.
Answer:
1
Step-by-step explanation:
Here,
x₁ = 1 and x₂ = (-3)
y₁ = 1 and y₂ = (-3)
Now,
Slope
= y₁ - y₂ ÷ x₁ - x₂
= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)
= 1 + 3 ÷ 1 + 3
= 4 ÷ 4 = 1
Thus, Slope is 1
-TheUnknownScientist
Jasmine bought 3 chocolates for Dhs.12.34 and her brother Alan bought 2 packets of biscuits for Dhs 3.5 each. How much they paid in total?
Answer:
$39.02
Step-by-step explanation:
$12.34 *3=37.02
$3.5*2=7
37.02+7=39.02
Consider continuous functions f,g,h and I. Then complete the statements. Select the correct answer from each drop down menu. The function that has the least minimum value is function . The function that has the greatest minimum value is function .
Answer:
The least minimum value is continuous function
The greatest minimum value is quadratic function.
Step-by-step explanation:
The minimum and maximum value of function is different for the different equations. The minimum value is the point below the vertex. The maximum value of the quadratic function is the positive value and it has minimum value as negative.
Answer:
Least
Most
Step-by-step explanation:
Which expression is equivalent to 4(7c+ 3) + 5?
11c + 7+ 5
28c + 7 + 5
28c + 12 + 5
28c + 12 + 20
Answer:
its C. You multiply 4 with the numbers in parentheses and just add the 5
Jalen measured a bookcase to be 8.4 feet. The actual measurement is 5.6 feet. What is Jalen's percent error?
Answer:
hey man thats my name im about to answer my own question. i used my caculator and i got 150.0 if its not right sorry
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
What is the perimeter of the figure?
Answer:
21.2 yd
Step-by-step explanation:
8 + 6 + 7.2 = 14 + 7.2 = 21.2
21.2 yd
To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
what is the perimeter of an angle with a sides of 10cm, 15cm, 40cm and 5cm
Answer:
10 + 15 + 40 + 5 = 70cm
Step-by-step explanation:
Assume that Jim, Bruce, and Valerie are three of the 19 members of the class, and that three of the class members will be chosen randomly to deliver their reports during the next class meeting. What is the probability that Jim, Bruce, and Valerie are selected in any order?
Answer:
[tex]Probability = \frac{1}{969}[/tex]
Step-by-step explanation:
Given
[tex]Members = 19[/tex]
[tex]Selection = 3[/tex]
Required
Determine the probability of selecting Jim, Bruce and Valerie
First, we need to calculate the possible number of selections.
This is calculated using combination formula:
[tex]Selection = ^nC_r[/tex]
[tex]Selection = ^{19}C_3[/tex]
[tex]Selection = \frac{19!}{(19-3)!3!}[/tex]
[tex]Selection = \frac{19!}{16!3!}[/tex]
[tex]Selection = \frac{19 * 18 * 17 * 16!}{16! * 3 * 2 * 1}[/tex]
[tex]Selection = \frac{19 * 18 * 17}{3 * 2 * 1}[/tex]
[tex]Selection = \frac{19 * 18 * 17}{6}[/tex]
[tex]Selection = 969[/tex]
Selection of Jim, Bruce and Valerie is only 1 selection of the 960 possible selection.
So:
[tex]Probability = \frac{1}{969}[/tex]
The probability that Jim, Bruce, and Valerie are selected in any order is [tex]\rm P=\dfrac{1}{969}[/tex] and this can be determined by using the given data.
Given :
Assume that Jim, Bruce, and Valerie are three of the 19 members of the class and that three of the class members will be chosen randomly to deliver their reports during the next class meeting.
In order to determine the probability that Jim, Bruce, and Valerie are selected in any order, first determine the total number of possible selections.
The total number of possible selections is given by:
[tex]\rm S = \; ^nC_r[/tex]
[tex]\rm S = \; ^{19}C_3[/tex]
[tex]\rm S = \dfrac{19!}{16! \times 3!}[/tex]
S = 969
So, the probability that Jim, Bruce, and Valerie are selected in any order is:
[tex]\rm P=\dfrac{1}{969}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/21586810
which is is equivalent to the given expression?
[tex] - 5y {}^{2} + 50y - 105[/tex]
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
You agree to purchase a home for $200,000 and decide to make a 20% down payment on the home. You finance the rest of the home payment with a 15 year fixed rate mortgage with an annual interest rate of 5.25%. Assuming that you make regular monthly payments, determine your regular monthly payment amount. Provide just a numerical answer rounded to the nearest cent.
Answer:
a or 1. $40,000 is the down payment
b or 2. 180 months = 15 years
c or 3. $168,400 is the left over payment (including mortgage)
d or 4. $935.56 (the monthly payment)
Step-by-step explanation:
1. To calculate the down payment, we need to calculate 20% of $200,000.
200,000 x 0.20 = $40,000
Therefore, the down payment on the home costs $40,000.
2. Now, let's figure out how many months are in 15 years.
15 x 12 = 180
So, the mortgage will be paid in 180 months.
3. Next, we need to find out how much money needs to be paid in the 15 years.
200,000 - 40,000 = $160,000
This price will also include an annual interest rate of 5.25%. So, we need to find 5.25% of $160,000.
160,000 x 0.0525 = $8,400 <--- interest rate when rounded to the nearest cent.
160,000 + 8,400 = $168,400 <--- total amount over 15 years
4. To find the monthly payment, we must divide the total amount of money ( or $168,400), by the number of months, (or 180.)
$168,400 ÷ 180 = $935.56 when rounded to the nearest cent.
Hope this helps! :)
Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for their server. How much tip are they leaving?
A.3.90
B.$4
C.$29.90
D.$39
Answer:
uuummm i need this answer too actually
Step-by-step explanation:
Answer:
A.$3.90
Step-by-step explanation:
So we have $26 and the tip is 15%, so we just find 15% of $26A percentage is a number divided by 100, so 15% is the fraction [tex]\frac{15}{100}[/tex] Now what fraction of 26 is [tex]\frac{15}{100}[/tex] ? We multiply and seeSo [tex]\frac{15}{100}*26=\frac{15*26}{100}=\frac{390}{100}=3.90[/tex] so $3.90 is 15% 0f $26 Then $3.90 is the amount of the tipQuestion 1 of 10
Multiple Choice
Identify if first number is divisible by the second number, and if so, the reason why.
Is 26 divisible by 2?
A.
No
B.
Yes, because 2 + 6 = 8 and 8 is divisible by 2.
C.
Yes, because the last digit is 6, which is divisible by 2.
Use the interactive to adjust the values, r and 0, and
choose the correct statements based on your
observations.
The point revolves around the pole when ris
changed.
The point revolves around the pole
counterclockwise when 0 is negative.
The point revolves around the pole
counterclockwise when 0 is positive.
The point gets closer to or farther from the pole
when r is changed.
The point gets closer to or farther from the pole
when is changed.
Answer:
Numbers 3 and 4
Step-by-step explanation:
- The point revolves around the pole counterclockwise when θ is positive.
-The point gets closer to or farther from the pole when r is changed
Help I don't understand my kids work, we have been doing this for 30 mins now
Answer:
Step-by-step explanation:ygvt fvbygtfr5nBHY$nujmk,mjnhbygtf
Answer: divide thats all i know what to do bye
Step-by-step explanation:
divide
A population of geese doubles every 18 months. If there are 5 geese initially, how many years will it take for there to be 111 geese?
Answer: 7 years
Step-by-step explanation:
Let t be the number of periods in which geese doubles .
The exponential growth function:[tex]y=Ab^t[/tex] , where A = initial value , b= growth factor.
As per given , A = 5 , b=2
i.e. Number of geese after t periods = [tex]y=5(2)^t[/tex]
Put y=111, we get
[tex]111=5(2)^t\\\\\Rightarrow\ \dfrac{111}{5}=2^t\\\\\Rightarrow\ 22.2=2^t[/tex]
Taking log on both sides , we get
[tex]\log 22.2 = t\log 2\\\\\Rightarrow\ 1.346353=t(0.30103)\\\\\Rightarrow\ t=\dfrac{1.346353}{0.30102}\\\\\Rightarrow\ t=4.47263636\approx4.47[/tex]
Now , total months = 4.47 x 18 =80.46≈ 80 months
since 1 year =12 months
Number of years it will take [tex]=\dfrac{80}{12}=\dfrac{20}{3}=6.66666666667\approx7[/tex]
Hence, it will take 7 years (approx.)