Given:
Consider the given expression is:
[tex]10n-\dfrac{1}{3}(9n-12)[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]10n-\dfrac{1}{3}(9n-12)[/tex]
Using distributive property, it can be written as:
[tex]=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)[/tex]
[tex]=10n-3n+4[/tex]
[tex]=7n+4[/tex]
Therefore, the correct option is A.
Abel wants to go on a trip around the world so he determines a budget for a month long trip in 14 months. If Abel determines the following cost, how much would he need to save a month in order to afford the trip?
Travel: $1,383.12
Food: $613.05
Hotel: $2,369.72
Other: $816.82
What is the step by step to get this answer I got
Answer:
x = -4, -2
Step-by-step explanation:
Given equation is,
x² + 6x + 8 = 0
Let the equation to be graphed is,
y = x² + 6x + 8
y = x² + 2(3x) + 9 - 1
y = x² + 2(3x) + 3² - 1
y = (x + 3)² - 1
Table for the Input-output values
x -6 -4 -3 -2 -1 0
y 8 0 -1 0 3 8
Now we can plot these points on the graph as attached.
Since, this graph is intersecting x-axis at x = -4, -2
Therefore, solutions of the given equation will be x = -4, -2
The amount of cashews in a mixture of nuts is 3 times the amount of almonds. Let C represent the amount of cashews in the mixture. If there are 1 1/2 lb. of almonds in the number mixture, how many pounds of cashews are there?
Answer:
4.5 lb
Step-by-step explanation:
1.5*3 is 4.5
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary
Answer:
5. 10 cm
6. 12 in
7. 5 mi
8. 13 cm
Step-by-step explanation:
5. 6² + 8² = x²
36 + 64 = x
36 + 64 = 100
√100 = 10
6. 15² - 9² = x²
225 - 81 = 144
√144 = 12
7. 3² + 4² = x²
9 + 16 = x
9 + 16 = 25
√25 = 5
8. 12² + 5² = x²
144 + 25 = x
144 + 25 = 169
√169 = 13
Find the area of the image below
Answer:
The answer is 65 square units
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Answer:
25
Step-by-step explanation:
40/8 = 5
3:5 so u do 5x5 which is 25
brief explanation and hoped it helped xoxo
Answer:
22 girls
Step-by-step explanation:
if there are 40 students in all and the ratio is 3:5 that means there are 2 more girls than boys and 2 less boys than girls so that means there are 22 girls and 18 boys in the classroom.
You are conducting a significance test of H0: μ = 1.6 against Ha: μ ≠ 1.6. After checking the conditions are met from a simple random sample of 28 observations, you obtain t = 2.79. Based on this result, describe the p-value.
The p-value falls between 0.05 and 0.1.
The p-value falls between 0.0025 and 0.005.
The p-value falls between 0.02 and 0.025.
The p-value falls between 0.005 and 0.01.
The p-value is less than 0.005
The correct option is D)The p-value falls between 0.005 and 0.01.
What is p-value?
The P value denotes the probability that, when the null hypothesis is true, the statistical summary will be equal to or more extreme than the actual observed results for a specific statistical model.
The given that [tex]H_0[/tex]: μ = 1.6 and [tex]H_a[/tex]: μ ≠ 1.6. and n=28.
Degrees of freedom = n-1 = 28-1 = 27 This is two tailed test,
P(t>2.79)=1-P(t<2.79)
=> 1-0.9952
=> 0.0048.
P-value = 2*P(t>2.79)=2*0.0048=0.0096.
Hence the correct option is D)The p-value falls between 0.005 and 0.01.
To learn more about p-value refer the below link
https://brainly.com/question/13786078
#SPJ1
Find the gradient of the line segment between the points (-2,3) and (-5,6)
Answer:
m = -1
Step-by-step explanation:
As we move from (-5, 6) to (-2, 3), x (the 'run') increases by 3 and y (the 'rise) decreases by 3. Hence the gradient, or slope, of this line segment is
m = rise / run = -3/3, or m = -1
If the radius of a cylinder is 3 centimeters, then the area of one of the circular bases is 18.84 square centimeters. True False
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
To calculate the area of a circle you need to multiply the radius by itself, then multiply that number by [tex]\pi[/tex].
In this case, our radius is 3, so we multiply 3 × 3 × [tex]\pi[/tex] (which can be estimated as 3.14)
3×3 is 9
9×3.14 is 28.26
28.26≠18.84
So, the correct answer is false. Hope this helps ^.^
Suppose a city with population 900,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 19 years
Answer:
Future population in 19 years = 3,254,580 people (Approx.)
Step-by-step explanation:
Given:
Current population of city = 900,000
Growth rate of population = 7%
Number of year = 19
Find:
Future population in 19 years
Computation:
A = P[1+r]ⁿ
Future population = Current population[1+g]ⁿ
Future population in 19 years = 900,000[1+7%]¹⁹
Future population in 19 years = 900,000[1+0.07]¹⁹
Future population in 19 years = 900,000[1.07]¹⁹
Future population in 19 years = 900,000[3.6162]
Future population in 19 years = 3,254,580
Future population in 19 years = 3,254,580 people (Approx.)
What is the mixed number form of 17/2 simplify the answer if possible hurry
Answer:
8 1/2
Step-by-step explanation:
17 goes into 2 8 times with a remainder of 1
so you get 8 1/2
3. Eggs are shipped in large boxes that contain 20 egg cartons. Each egg carton holds 12 eggs. How many eggs are in 5 large boxes?
Answer: Standard egg cartons have room for 10 or 12 eggs, but they can come in a variety of sizes, holding from three to 24 eggs.
Step-by-step explanation:
Answer:
20×12(12×5)
do this simplification
yo can get answer
Can anyone help please ?
The graph is decreasing as we move about the x-axis from Left to right. so the answer is A
Donna wants to rent a boat and spend less than $43. The boat costs $8 per hour, and Donna has a discount coupon for $5 off. What are the possible numbers
of hours Donna could rent the boat?
Use t for the number of hours.
Answer:
I have on idea?‽?????? sorry
Hal has two cans containing biscuit dough. The cans are cylindrical and their dimensions (in inches) are as follows.
• Can A: h = 8 and r= 1.1
• Can B: h = 4 and r = 2.2
Which of the following statements about the volumes of the cans is true?
OA.
The volume of can A is half the volume of can B.
ОВ.
The volumes of the two cans are equal.
OC. The volume of can B is four times the volume of can A.
OD.
The volume of can B is half the volume of can A.
Katie could already play five songs on her harp. She decided to learn to new songs each week. If S = songs and W = weeks, which equation expresses her goals?
Answer:
she would have to record a the amount of songs She did every week
Someone plz help me with this it’s due today
Answer:
10. n>13
11. n<6
12. n<_96
13. n>_50
Step-by-step explanation:
the line should be under the greater/less than signs...my phone just doesn't allow me to do that
NO LINKS. Each event can occur in the given number of ways. Find the number of ways all of the events can occur.
9514 1404 393
Answer:
1254890Step-by-step explanation:
Assuming the events are independent, the numbers of ways are multiplied in order to find the total number of possible ways a combination of events can happen.
1. 3×4 = 12
2. 1×5 = 5
3. 4×6×2 = 48
4. 2×9×5 = 90
Which point represents the approximate location of V115?
Answer: Point A
Step-by-step explanation:
√ 115 = approx. 10.72
What is the constant of proportionality for the table below?
Answer:
Equation:y = 1/2x . or x = 2y
Constant = 2
Step-by-step explanation:
Input y = output x
the first input/output says that when inputed 2, the number 1 is outputted.
Similarly, when 5 is inputted, 2.5 is the output.
1/2 = 2.5/5
That means that y = 1/2 x
or x = 2y
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help me please? I’ll mark brainliest.
Answer:
A = 6 units
Step-by-step explanation:
6 - 2 = 4
the y-intercept stays the same
the x-intercept changes
An archeologist uncovered a piece of broken
ceramic plate that was originally in the shape of
a regular polygon. The sum of the interior angles
is 1080°. Using the formula s=180(n-2) wheres
represents the sum of the interior
angles,
was the original shape of the plate?
what
Answer:
Step-by-step explanation:
9 sides
Can someone help me please?
Answer:
28pi, 10pi
Step-by-step explanation:
So, lets go over a few things.
What is circumference?
Circumference is the permiteter of a circle.
The formula for it is 2*r*pi.
Now, lets go over what radius and diamater is.
Diamater is the distance between the two opposite sides of the circle.
The radius is half of the diamater, and is the distance between one side of the circle and the middle.
Problem #1:
The distance from the middle to the side of the circle is 14.
This will be the radius, not the diamater.
Lets plug this into the formula:
2*14*pi
=
28*pi
=
28pi
This is your answer.
Problem #2
The distance from the two opposite sides of the circle is 10.
So the radius will be half of this, being 5.
Now lets plug this in:
2*5*pi
=
10*pi
=
10pi
This is your answer.
Hope this helps!
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
522 m^2
Step-by-step explanation:
I've circles the numbers that you actually need to solve this problem.
First, find the area of the bigger rectangle by multiplying the length and width.
24*21=504
Then find the area of the smaller rectangle the same way
3*6=18
then add them to get the total area
504+18=522
522 m^2
Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.
chocolate cupcakes 2
pistachio cupcakes 1
banana cupcakes 5
pumpkin cupcakes 6
Considering this data, how many of the next 21 cupcakes sold would you expect to be pumpkin cupcakes?
Answer:
pumpkin because it got the most sold
Answer:
9
Step-by-step explanation:
Knowing that
pumpkin = 6
Total =
chocolate cupcakes 2 + pistachio cupcakes 1 + banana cupcakes 5 +pumpkin cupcakes 6
Thus, 2 + 1 + 5 + 6 = 14
Cross multiply
[tex]\frac{6}{14}=\frac{x}{21}[/tex]
6 * 21 = 126
126/14 = 9
Hence, next 21 cupcakes sold that will be pumpkin cupcakes will 9 pumpkin cupcake
[RevyBreeze]
need help. i will mark brainliest
Answer:
B (5t + 15 ≤ 140) is correct
Step-by-step explanation:
Because since each table (t) seats 5 people, you'd represent that as 5t (5 seats per table).
Since there is one extra table that seats 15 people, you'd represent that as 15.
Lastly, those two last steps added together should have to be less than or equal to (≤) 140 (the amount of people allowed in the building).
what is...
5 times 6 plus 45 minus 67 divided by 78635 times 8273 plus square root of 6
Answer:
sorryajaajqiqoqoqiqsjsjwuwuqqu
Mark invests $150 at the beginning of each quarter in stock ABC. According
to the table below, how many shares of ABC will Mark own at the end of the
year?
ABC
01
02
03
04
Stock Price
$15
$16
$13
$18
O A. 44 shares
O B. 36 shares
O C. 40 shares
O D. 38 shares
Answer: 38 shares
Step-by-step explanation:
Help I’ll give extra points
A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L, end text. Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml. She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml. Norah wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Required:
Calculate the test statistic for Norah's test.
Answer:
The test statistic for Norah's test is [tex]t = -2[/tex]
Step-by-step explanation:
Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.
This means that at the null hypothesis we test if the sample mean is 500 ml, that is:
[tex]H_0: \mu = 500[/tex]
At the alternate hypothesis, we test if it is differente than 500 ml, that is:
[tex]H_a: \mu \neq 500[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
500 is tested at the null hypothesis:
This means that [tex]\mu = 500[/tex]
She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.
This means that [tex]n = 16, X = 497, s = 6[/tex]
Calculate the test statistic for Norah's test.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{497 - 500}{\frac{6}{\sqrt{16}}}[/tex]
[tex]t = -2[/tex]
The test statistic for Norah's test is [tex]t = -2[/tex]
Answer: -2
Step-by-step explanation: Khan