Answer:
B. n + 9
Step-by-step explanation:
Given:
n² + 3n - 54
Let's factorize
n² + 9n - 6n - 54
n(n + 9) -6(n + 9)
(n - 6)(n + 9)
Therefore, out if the options given, n + 9 is the expression of the factor of n² + 3n - 54.
John can read 12 1/2 pages in 25 minutes. At this same rate, how long would it take to read 1 page? How many pages could he expect to read in 1 minute
Answer:
divide 12 and 1/2 by 25 and can I get branliest
Step-by-step explanation:
Answer:
it would take him 2 minutes to read one page
He can read half a page in 1 minute
Step-by-step explanation:
Part 1
ratio time/pages
25/12.5=x/1
cross multiply
12.5x=25
x=2
ratio time/pages
25/12.5= 1/x
cross multiply
25x=12.5
x=0.5
Need help. Please and thank u
Answer:
1)
(x + 3)(x + 4) = x^2 + 4x + 3x + 12 = x^2 + 7x + 12
Instead of multiplying 3 and 4 the student added them which gave them the answer of 7 when the correct answer is 12.
2)
a) x^2 + x - 2
b) x^2 - 7x + 10
c) 4x^2 - 1
d) x^2 + 10x + 25
Step-by-step explanation:
a. (x - 1)(x + 2)
x(x) - 1(x) + 2(x) - 1(2)
x^2 - 1x + 2x - 2
x^2 + x - 2
------------------------------------------
b. (x - 5)(x - 2)
x(x) - 5(x) - 2(x) - 5(-2)
x^2 - 5x - 2x + 10
x^2 - 7x + 10
------------------------------------------
c. (2x + 1)(2x - 1)
2x(2x) + 1(2x) - 1(2x) + 1(-1)
4x^2 + 2x - 2x - 1
4x^2 - 1
------------------------------------------
d. (x + 5)^2
(x + 5)(x + 5)
x(x) + 5(x) + 5(x) + 5(5)
x^2 + 5x + 5x + 25
x^2 + 10x + 25
Of the 600 sixth graders at Melville Middle School, 80% want more field trips. How many students want more field trips? Show your work. How many students is 10%
Answer:
480 students want more field trips.
60 students is 10%.
Step-by-step explanation:
There are 600 students, and 80% want more field trips.
80% of 600 is 0.8*600 = 8*60 = 480 students.
480 students want more field trips.
How many students is 10%?
10% of 600 is 0.1*600 = 60*1 = 60
60 students is 10%.
Help me solve this problem and explain to me please
Jude graphed the inequality s < -9,="" as="" shown.="">
A number line going from negative 12 to negative 4. A closed circle is at negative 9. Everything to the left of the circle is shaded.
Is his graph correct? Explain why or why not.
Answer:
Step-by-step explanation:
What does ="as="shown.="> mean?
No, his graph of s<-9 is incorrect. There should be an open circle at -9.
Answer:
sample response I would suggest rewording it
Step-by-step explanation:
No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.
In AOPQ, q = 18 cm, o = 96 cm and ZP=142°. Find the length of p, to the nearest
centimeter.
Answer:111
Step-by-step explanation:
Answer: 111
Step-by-step explanation:
Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and the resources available for mining in 1993 were 450 billion tons, how much longer would the world’s iron resources have lasted?
Step-by-step explanation:
We can model the annual consumption of iron by the equation
c = 900 million tons x [tex]1.025^n[/tex], where
n is the number of years after 1993 and
c is the consumption for that year.
An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.
[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]
This equation simplifies to
C = 900 million tons x (1.025^n - 1) / ln(1.025), where
x is a dummy variable and
C is the total consumption of iron n years after 1993.
Let R be the amount of iron remaining at n years after 1993, so
R = 480 billion tons - C
R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
We need to find the value of n when R is 0, so
0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
Simplify this equation to obtain
n = 107.4
So the iron will run out in the year 1993 + 107 = 2100
Area of a parallelogram = b•h
What is the base of a parallelogram with an area of 48 and a height of 6?
Answer:
area of parallelogram =b×h
48cm²=b×6cm
48cm²/6cm=b
8cm=cm
Explain answer !
Will give brainlst
Answer:
y = 6
Step-by-step explanation:
you cross multiply so 3 x 16 = 46 and 8 x y = 8y
it should look like this now -> 8y = 48
divide both sides by 8 -> y = 6
Answer:
y=6
Step-by-step explanation:
rewrite equation 16/y=8/3
multiply the numerator of the first fraction by the denominator of the second fraction. set this equal to the product of the denominator of the first fraction and the numerator of the second fraction
16 * 3= y * 8
rewrite equation as y*8=16*3
multiply 16 by 3
y*8=48
divide each term in y88=48 by 8
y=48/8
divide 48 by 8
y=6
What decimal is equivalent to Two-tenths?
Answer:
and example hope it helps
Answer:
0.2
Step-by-step explanation:
Two tenths = [tex]\frac{2}{10}[/tex] = 0.2
PLEASE HELLLLPPPPPPPPPPPPP
Find the Value of x (I attached pic)
Answer:
120°
Step-by-step explanation:
Choose all of the statements that are true about AABC.
Answer:
Step-by-step explanation:
sin(62°) = 25/BA
BA = 25/sin(62°) ≈ 28.3
Angle BAC = 180°-90°-62° = 28°
BC = √((BA)^2-(AC)^2) = 13.3
cosC = 0
Answer:
A and D are correctStep-by-step explanation:
Given ΔABC
∠C = 90°∠B = 62°AC = 25The options:
A. 25/BA = sin 62° ⇒ BA = 25/sin 62° = 28.3 ≈ 28
CorrectB. ∠BAC = 90° - 62°= 28° ≠ 48°
IncorrectC. 25/BC = tan 62° ⇒ BC = 25/tan 62° = 13.29 ≠ 18
IncorrectD. cos(∠ACB) = 0 ⇒ cos 90° = 0
CorrectChoose the correct simplification of (9xy^5)^2.
A) 18x^2y^10
B) 18x^2y^7
C) 81x^2y^7
D) 81x^2y^10
Answer:
D) 81x²y¹⁰
Step-by-step explanation:
(9xy⁵)²
Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.
(9)² = 81
(x)² = x²
(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.
Now combine the components.
D) 81x²y¹⁰
There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?
Answer: 72
Step-by-step explanation: We did this question during class and this was the answer. Hope this helps!
The number of block that can be placed in box can be calculated by finding the area of the ample supply of identical blocks.
The number of block that can be placed in block is 84.
Given:
The box is 6 units tall, 7 units wide, and 8 units deep.
Calculate the area of the box.
[tex]\begin{aligned}{\rm Area\: of\:the\: box}=6\times7\times 8\\=336\:\rm units\\\end[/tex]
The four block has [tex]1\times1\times1[/tex] unit-cubes.
Calculate the area of 4 block.
[tex]\begin{aligned}{\rm Area\:of\:four\:block}&=4\times1\times1\times1\\&=4\\\end[/tex]
Now, calculate the number of block that can be placed,
[tex]\begin{aligend}{\rm Block\: placed\: in \:box}&=\dfrac {\rm Area\: of\: box}{\rm Area \:of\: Block}\\&=\dfrac{336}{4}\\&=84\\\end{aligned}[/tex]
Thus, the number of block that can be placed in block is 84.
Learn more about area here:
https://brainly.com/question/25632432
Choose >, <, or = to compare each pair of numbers
0.842 _____ 0.824
Answer:
>
Step-by-step explanation:
Here's a trick when compareing fractions: turn them into percents then try it from there Hth!!
What is:
1. 50% of 6 =
2. 50% of 10 =
3. 50% of 8 =
4. 50% of 16 =
5. 50% of 22 =
6. 50% of 30 =
7. 25% of 8 =
8. 25% of 12 =
9. 25% of 20 =
13. 10% of 20 =
14. 10% of 40 =
15. 10% of 35 =
Answer:
3, 5, 4, 8, 11, 15, 2, 3, 5, 2, 4, 3.5
Step-by-step explanation:
1: 6*0.5= 3
2: 10*0.5= 5
3: 8*0.5= 4
4: 16*0.5= 8
5: 22*0.5= 11
6: 30*0.5= 15
7: 8*0.25= 2
8: 12*0.25= 3
9: 20*0.25= 5
13: 20*0.1= 2
14: 40*0.1= 4
15: 35*0.1= 3.5
Point A is located at (4,0) and is reflected in the x-axis. What are the coordinates of point A'?
O (0,4)
0 (0,-4)
O 1-4,0)
O (4,0)
Answer:
(4,0)
Step-by-step explanation:
A manufacturer with exclusive rights to a sophisticated new industrial machine is planning to sell a limited number of the machines to both foreign and domestic firms. It is estimated that if the manufacturer supplies machines to the domestic market and machines to the foreign market, the machines will sell for −+ thousand dollars apiece domestically, and for +− thousand dollars apiece abroad. If the manufacturer can produce the machines at the cost of $ apiece, how many should be supplied to each market to generate the largest possible profit?
Answer:
Supply all machines to the which ever market provides the highest price.
HELP me with this pls
Answer:
1/3 × 4/3
Step-by-step explanation:
because
if a/b ÷ c/d
the behind one > c/d >must change to > d/c
so a/b × d/c
what is -6 × -4m × m4 ??
Answer:
21.
Step-by-step explanation:
how minutes is in a clock
Answer:
720 Minutes
An analogue clock is split up evenly in two ways. Minutes are sixty equal parts and hours are 12 equal parts. That means that for every hour maker from 12 there are also five minute markers.
Hoped this helped!
Brainly, please?
Answer quick pls I need help
Answer:
1. 0.33
2. the cost per ounce
3. that everytime you go up an ounce, it will cost 0.33 more
4. y = 0.33x + 0.33
Step-by-step explanation:
A population of 2000 fish increases at an annual rate of 7.5%. Write the model, then predict how
many fish will there be in 10 years?
Answer:
The model is [tex]P(t) = 2000(1.075)^{t}[/tex].
There will be 4122 fish in 10 years.
Step-by-step explanation:
Exponentially increasing population:
An exponentially increasing population can be represented by the following model:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.
A population of 2000 fish increases at an annual rate of 7.5%.
This means that [tex]P(0) = 2000, r = 0.075[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 2000(1+0.075)^t[/tex]
[tex]P(t) = 2000(1.075)^{t}[/tex]
This is the model.
How many fish will there be in 10 years?
This is P(10).
[tex]P(t) = 2000(1.075)^{t}[/tex]
[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]
There will be 4122 fish in 10 years.
if the circumfrence of a circle is 12pi cm. what is the area of the circle.
Answer:
11.46
Step-by-step explanation:
Answer:
11.46
Step-by-step explanation:
Find two numbers whose sum is 44 and whose difference is 6.
smaller number
larger number
Sol answered 49 questions correctly on a 63 question test.
Answer:
0.7
Step-by-step explanation:
49 out of 63 so it is 49/63 which is 0.7777 inf
ASAP PLEASE!!!!!!! ILL DO ANYTHING!!!
A manager increased the hourly pay for three employees.
Carlie’s hourly rate, which used to be $9 per hour, increased by 6%.
Allison’s hourly rate, which used to be $8 per hour, increased by 9%.
Gabriele’s hourly rate, which used to be $11 per hour, increased by 5%.
Order the hourly rates from least increase in pay to greatest increase in pay.
Answer:
Allison, Carlie , Gabriele ($8.72, $9.54, $11.55)
Step-by-step explanation:
Carlie's 9+6%= $9.54
Allison's 8+9%= $8.72
Gabriele's 11+5%= $11.55
A moving truck states that it holds 300 cubic feet of boxes. The truck is 25feet in length and 8 ft in height. What is the width of the moving truck
Answer:
77
Step-by-step explanation:
Answer:
25x8xW=300
We=300/25x8
W=1.5 feet
Can y’all help me on question 16?!
The distance between point A and point B is 2 1/2 units. Which number could represent point B?
A)-30. B)2.5. C)-2.0. D)3.5