Divide: (2n3+4n−9)÷(n+2).
Answer:
2n+2
_____
9 2n
Two numbers differ by 18. If 2/7 of the larger is 6 more than 1/4 of the smaller, find the two numbers
Answer:
Step-by-step explanation:
1) x-y=18
2) 2x/7-y/4=6
from 1) x=18+y substituting in 2)
2(18+y)/7-y/4=6
36/7+y(2/7-1/4)=6
y=(6-36/7)/(2/7-1/4)
y=(6/7)/(1/28)
y=24
x=18+y=18+24
x=42
In a certain city, E Street, W Street, C Street, and D Street are parallel streets that intersect K Street and
M Street. How long is K Street between C Street and D Street?
Answer:
\(120 cm long each\)
Submit your answers to the following questions. Be sure to explain your reasoning for each; it is helpful to draw this out to get started to see any quantitative patterns that develop.
If you write the counting numbers in rows of 7 numbers each, like shown below (but you keep going), where all the number line up in seven vertical columns as you go. (Note in the example below, the number 13 is in the 2nd row and the 6th column.)
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
In which column would the number 100 land?
In which row?
Now write the counting numbers in rows of 6 numbers each. What’s the location of 100 in this array?
Write arrays with other length rows. Find a way to predict in which row and column 100 will land for any array of numbers.
The number 100 would land in column 2
The number 100 would land in row 14The location of 100 in rows of 6 numbers is row 16 and column 3The location of 100 in rows of n numbers is row q and column rIn which column would the number 100 land?Given that we have the array of numbers
The length of each row in the array is 7
Dividing 100 by 7, we have
100/7 = 14 Remainder 2
This means that
Column = 2
In which row would the number 100 land?In (a), we have
100/7 = 14 Remainder 2
This means that
Row = 14
The location of 100 in rows of 6 numbersHere, we have
The length of each row in the array is 6
Dividing 100 by 6, we have
100/6 = 16 Remainder 3
So, the location of 100 in rows of 6 numbers is row 16 and column 3
Predicting the row and column 100 will landLet the length of each row in the array be n
Dividing 100 by n, we have
100/n = q Remainder r
This means that the location of 100 in rows of n numbers is row q and column r
Read more about numbers at
https://brainly.com/question/20372424
#SPJ1
pls answer
worth 30 points!!!
Answer: 12.6 m
Step-by-step explanation:
C=2\(\pi\)r
=12.6 m
Which of the following is not a reason used in this proof?
A) Definition of perpendicular
B) Vertical angles are equal
C) Reflexive
Answer:
Reflexive
Step-by-step explanation:
Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof
Answer:
Reflexive
Step-by-step explanation:
A line passes through the point (0,1) and has a positive slope. Which of these points could that line NOT pass through?
Answer:
(-3, 1)
(5,-2)
Step-by-step explanation:
Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?
Answer: 50%
Step-by-step explanation:
If the neighbor has 2 children and one is a male out of 100% it would just be 100% divided by 2 i think im not sure but i hope this helps
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
For more questions on compound interest
https://brainly.com/question/28020457
#SPJ8
10. Two stores are having deals on video games.
Store A: 5 video games for $8.95
0:23
Store B: 7 video games for $10.50. Find the price per video game for store A. Round to the nearest cent. SHOW YOUR WORK.
The calculated price per video game for store A is $1.79 per game
How to find the price per video game for store A.From the question, we have the following parameters that can be used in our computation:
Store A: 5 video games for $8.95Store B: 7 video games for $10.50The price per video game for store A is calculated as
Price per video game = Total price/Number of games
using the above as a guide, we have the following:
Price per video game = 8.95/5
Evaluate the quotient
So, we have
Price per video game = 1.79
Hence, the price per video game for store A is $1.79 per game
Read more about unit rate at
https://brainly.com/question/26059245
#SPJ1
boys and girls are in a group. student is chosen at random probability of choosing a girls is 5/10 what's the least number of girls that can be chosen in the group.
Answer:
Step-by-step explanation:
If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24?
PLEASE HELP!!! :))))
Step-by-step explanation:
it just means
z = k×x²/y³
12 = k×8²/2³ = k×64/8 = k×8
k = 12/8 = 3/2
24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²
24/(3/2) = x²
48/3 = x²
16 = x²
x = 4 or
x = -4
All lines that are parallel to JC
Anquan's account balance is $29.96, and Will's account balance is -$29.96. Which of the following is true
Answer:
is there anymore to the question because this doesn't make sense
Step-by-step explanation:
If a figure is dilated by a factor of 3, the sides of the pre-image will be _ of the image's sides.
A. one-ninth the size
B. one-third the size
C. nine times the size
D. three times the size
Use the number line to answer the question below:
<—A——————-B————C—->
If AB = 7x - 24 and BC = 6x - 2, what is the value of AC?
a. 13x - 22
C. 13x - 26
b. 33
d. 46
Work Shown:
AC = AB + BC
AC = (7x-24) + (6x - 2)
AC = (7x+6x) + (-24-2)
AC = 13x - 26
This works because segment AC is split up into two parts AB and BC which don't overlap. Refer to the segment addition postulate.
what are the ratios from least to greatest 5:8, 11:16, 18:32
Answer:
Least: 18:32
Middle: 5:8
Greatest: 11:16
The given figure shows the intersection of plane S with a square pyramid.
Which shape depicts the cross-section?
OA.
D.
E
The cross section can be of these shapes square and triangle are; A, D
What is cross-segment ?A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.
An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.
Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base
The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.
Learn more about cross section here;
brainly.com/question/2459472
#SPJ1
Algebra 2 (picture shown)
Answer:
M(13)=14.3 gram
Step-by-step explanation:
Exponential Decay Function
The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
\(C(t)=C_o\cdot(1-r)^t\)
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.
The equation of the model is:
\(M(t)=M_o\cdot(1-r)^t\)
\(M(t)=970\cdot(1-0.277)^t\)
Operating:
\(M(t)=970\cdot 0.723^t\)
After t=13 minutes the remaining mass is:
\(M(13)=970\cdot 0.723^{13}\)
Calculating:
M(13)=14.3 gram
a container with 8/9 kilograms of berries is 2/3 full. How many kilograms can it hold
The container has 8/9kg of berries. This amount represents 2/3 of the container, and there is 1/3 left to fill
What is the answer....................................................
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
A dart is dropped above the target shown in the diagram. The dart has an equal chance of landing on any spot on the target.
What is the probability the dart will land in the shaded square on the target? Round to the nearest hundredth. Enter the answer in the box.
Answer: 0.04
Step-by-step explanation:
The area \(A_1\) of the square target with side length \(s_1=20 cm\) is:
\(A_1=s_1^{2}=20^{2}=400\)
The area \(A_2\) of the shaded square with side length \(s_2=4cm\) is:
\(A_2=s_2^{2}=4^{2}=16\)
So, the probability that the dart will land in the shaded square on the target is:
\(\frac{A_{2}}{A_{1}}=\frac{16}{400}=0.04\)
A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together in decigrams? Use the metric table to help answer the question.
Metric Table
kilo- 1,000 hecto- 100 deka- 10 unit 1 deci- 0.1 centi- 0.01 milli- 0.001
o 1,021 decigrams
o 10,210 decigrams
o 102,100 decigrams
0 1,021,000 decigrams
Hurry please i need help.
Answer:
102,100 decigrams
Step-by-step explanation:
(564 dag + 458 dag) = 1021 dag
1021 dag × 100 dg/dag = 102100 dg
The two cases together weigh 102,100 decigrams.
_____
1 dag = 10 g
1 dg = 0.1 g
Answer:
102,100 decigrams.
Step-by-step explanation:
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
Answer:
39 3/8 ft ^2
Step-by-step explanation:
To find the area of a rectangle, multiply the length times the width.
A = l*w
= 7 1/2 * 5 1/4
Change the mixed numbers to improper fractions.
A = 15/2 * 21/4
=315/8
Change back to a mixed number.
8 goes into 315 39 times with 3 left over.
= 39 3/8
Answer:
Area = 39.375 ft²
(you can round to 39.4)
Step-by-step explanation:
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
7 1/2 = 7.5 ft
5 1/4 = 5.25 ft
Area = L x W
Area = 7.5 x 5.25
Area = 39.375
The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? LCM or GCF?
Answer:
gcf is 20 lcm is 40
Step-by-step explanation:
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
Learn more about percentages here,
https://brainly.com/question/24877689
Which problem can be solved with the equation 1.75+(-1.75)=0?
Answer:
x+y=0
Step-by-step explanation:
x= 1.75
y= -1.75
x+y=0
What is 2+2 (Hint is not 4)
Answer:
5...?
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
The answer is 7 because a 2 reversed looks like a 5 and 2+5=7
i need help will mark brainliest
Answer:
13- B: 14 14- A: 22 15- B: 30
Step-by-step explanation:
The function starts out as having a value of 6, but each time x increases, 8 is added to f(x). The pattern is 8 is added to the f(x) value for each increase in x.
Is there anyone here who does Calvert or Odessy?
I was quite behind on my assignments, and, somehow, I go to catch up and they've been completed or something. It says I'm 100% on pace, and I know for a fact that I wasn't. What happened?
what happen is there is a glitch probably
yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.