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
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
represent the given condition using a single variable, x.
The length and width of a rectangle whose length is 15 centimeters more than its width.
The width of the rectangle is ____.
Answer:
Please check the explanation.
Step-by-step explanation:
Let suppose [tex]x[/tex] be the width of the rectangle.
As the length is 15 centimeters more than its width i.e.
[tex]length = x+15[/tex]
Therefore, the width of the rectangle will be:
[tex]x = length - 15[/tex]
CHECK BY EXAMPLE
Let suppose if the length of the rectangle is 20 cm.
Then the width of the rectangle will be:
x = length - 15
= 20 - 15
= 5 cm
Therefore, the width of the rectangle will be 5 cm.
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
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.)
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
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! :)
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:
https://brainly.com/question/11527721
#SPJ5
It rains on Paradise Island on 40% of the days. The chance of rain is independent from day to day. A travel agent is signing people up to go on a 5-day tour of the island. She wants to know the chance of getting at least two consecutive days of rain at any time during the 5 days. To determine this, a simulation will be used.
Answer:
The probability that it will rain in atleast two consecutive days will be 0.167936.
Step-by-step explanation:
Since it rains on 40% of the days, then the probability of it raining on each day is
This follows a binomial distribution
Since it's a five-day tour and they want to know the probability that rain falls in atleast TWO CONSECUTIVE days then we have to consider 2 days as one, as we do in combination problems, so that they are always together before we use in our binomial probability density function.
Our Probability Density Function is given as
[tex]P(X) = \binom{n}{x} p^x \times q^{n-x}[/tex]
Where p is probability of raining and q = 1 - p is probability of not raining.
Our n is 4 since we are considering two days as one.
We are looking the P(X≥2) = 1 – P(X<2) = 1 – [P(X = 0) + P(X = 1).
[tex]P(X = 0) = \binom{4}{0} 0.4^0 \times 0.6^4 = 0.1296[/tex]
[tex]P(X = 1) = \binom{4}{1} 0.4^1 \times 0.6^3 = 4\times 0.4 \times 0.216 = 0.3456[/tex]
Therefore P(X≥2) = 1 – (0.1296 + 0.3456) = 0.5248.
Remember we combined two consecutive days that it will rain as one, their probabilities will be:
2! x 0.4 x 0.4 = 0.32
Therefore, the probability that it will rain in atleast two consecutive days will be
0.32 x 0.5248 = 0.167936
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:
Simplify using the distributive property.
10 - 2(x - 7) = 4(x - 5)
24 - 2 x = 4 x - 20
-4 - 2 x = 4 x - 5
3 - 2 x = 4 x + 5
Answer:x=22 over 3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
10−2(x−7)=4(x−5)
10+(−2)(x)+(−2)(−7)=(4)(x)+(4)(−5)(Distribute)
10+−2x+14=4x+−20
(−2x)+(10+14)=4x−20(Combine Like Terms)
−2x+24=4x−20
−2x+24=4x−20
Step 2: Subtract 4x from both sides.
−2x+24−4x=4x−20−4x
−6x+24=−20
Step 3: Subtract 24 from both sides.
−6x+24−24=−20−24
−6x=−44
Step 4: Divide both sides by -6.
−6x−6=−44−6
x=22 over 3
hope it helps.
Answer:
hey
Step-by-step explanation:
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 $3.90 is the amount of the tipwhat is the height of the cone if a metal sphere of radius 4m is melted to form a cone of base 5m?
9514 1404 393
Answer:
10.24 m
Step-by-step explanation:
The volume formulas for the figures are ...
V = 4/3πr³ . . . sphereV = 1/3πr²h . . . coneYou can fill in the given radii and set the volumes equal:
4/3π(4 m)³ = 1/3π(5 m)²h
h = (4^4)/(5^2) m . . . . . divide by the coefficient of h
h = 10.24 m
The height of the cone is 10.24 meters.
3x – 8y > 32
what the answer
Answer:
y < 3/8x-4
Step-by-step explanation:
Write the slope-intercept form of the equation of the line that passes through the given points.
(1, 1) and (-3, -3)
Answer:
Slope=1
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where x1,y1= (1, 1) and X2,y2=(-3, -3)
Slop=1+3/1+4
=4/4
=1
So the slope is 1.
Answer:
1
Step-by-step explanation:
Here,
x₁ = 1 and x₂ = (-3)
y₁ = 1 and y₂ = (-3)
Now,
Slope
= y₁ - y₂ ÷ x₁ - x₂
= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)
= 1 + 3 ÷ 1 + 3
= 4 ÷ 4 = 1
Thus, Slope is 1
-TheUnknownScientist
What is the value of x in the equation −6 + x = −3?
Answer:
x = 3
Step-by-step explanation:
Simply solve for x.
In this equation all we have to do is add 6 to both sides of the equation to solve for x.
x = 3
The answer is 3.
#teamtrees #WAP (Water And Plant)
Answer:
3
Step-by-step explanation:
what is the perimeter of an angle with a sides of 10cm, 15cm, 40cm and 5cm
Answer:
10 + 15 + 40 + 5 = 70cm
Step-by-step explanation:
Simplify 32 divided by 7 eigths
Answer:
256/7 = 36 4/7 =36.571
Step-by-step explanation:
Help I don't understand my kids work, we have been doing this for 30 mins now
Answer:
Step-by-step explanation:ygvt fvbygtfr5nBHY$nujmk,mjnhbygtf
Answer: divide thats all i know what to do bye
Step-by-step explanation:
divide
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)
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
Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100
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:
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)
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
Question 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.
which is is equivalent to the given expression?
[tex] - 5y {}^{2} + 50y - 105[/tex]
pls give me the answer....
7½ – 4/7 ×7/8
= 15/2 – 1/2
= 7
Answer:
its 7
Step-by-step explanation:
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: