Answer:
the number of sheet available is 75, 000
you take the total number of pages available = 8 x 75,000
= 600,000 pages
then each notebooks contains 200 pages
= 600,000 / 200
= 3000 notebooks can be made
Step-by-step explanation:
Answer:
3000 notebooks
Step-by-step explanation:
75,000*8=600000
600000/200=3000
Simplify the expression. x^14/x^7
Answer: x7
x7
Step by step solution :
Step 1 :
x14
Simplify ———
x7
Dividing exponential expressions :
1.1 x14 divided by x7 = x(14 - 7) = x7
Answer:
x7
Step-by-step explanation:
Greatest Common Factor 1
Find the Greatest Common Factor for each pair of numbers and order then from least (top) to greatest (bottom).
8 & 12
6 & 2
18 & 6
21 & 9
Answer:
6 & 2
21 & 9
8 & 12
18 & 6
Step-by-step explanation:
Can someone please help me do the work
Answer:
C. 1 and 3
Step-by-step explanation:
You are right, now here's why.
You are looking for two equations that have the same constant of proportionality. That means they behave the same, that if you enter a X value in one, you'll get the same effect as if you enter it in another.
If you look at all four equations, you'll see that 1 and 3 are essentially the same thing, just that the first one is simplified (4y = 3x) while the other isn't (8y = 6x). But for each time you enter a X value, the Y value will be 33% (1/3) bigger.
The sum of two numbers is 40. The second number is 5 less than twice the first number. Let x represent the first number and let y represent the second number. What is the value of the first number? Use the table to guess and check. 15 20 25 30
Answer:
Step-by-step explanation:
X+2x-5= 40
3x-5=40
+5=+5
3x=45
3x/3=45/3
X=15
Answer:
The value of the first number is 15Step-by-step explanation:
The sum of two number is 40 would be:
[tex]x+y=40[/tex]
The second number is 5 less than twice the first number would be:
[tex]y=2x-5[/tex]
Now, we can find the value by solving this system of equations, we will isolate x in the first equation, then we replace it in the second equation:
[tex]x=40-y[/tex]
[tex]y=2(40-y)-5\\y=80-2y-5\\y+2y=75\\3y=75\\y=\frac{75}{3}=25[/tex]
Then, we replace this value in one equation of find the other variable:
[tex]x+25=40\\x=40-25\\x=15[/tex]
Therefore, the value of the first number is 15 and the second number is 25.
in a 30-60-90 triangle, the length of the side opposite the 30 angle is 8. find the length of the side opposite the 60 angle
Answer:
[tex]8\sqrt{3}\ units[/tex]
Step-by-step explanation:
Let
x----> the side opposite the 60 angle
Applying the law of sines
[tex]\frac{8}{sin(30)}=\frac{x}{sin(60)}\\ \\x=8*sin(60)/sin(30)\\ \\x=8\sqrt{3}\ units[/tex]
The length of GJ is 18 inches.
What is the length of GL?
A. 6 in.
B. 9 in.
C. 18 in.
D. 36 in.
It would B. 9.
Reason to this is because the radius is outlined by line GL. GL is half of the diameter which is GJ.
The answer is B. 9 because GJ is the circumference of the circle and they’re basically asking you to find the radius and the radius is half the circumference and half of 18 is 9 so the answer would be B.
Simplify 4+(-3)-2x(-6)
Answer:
13Step-by-step explanation:
Use the order of operations.
First multiplication next addition and subtraction (from left to right).
4 + (-3) - 2 × (-6)
= 4 - 3 + 12
= 1 + 12
= 13
(-)(-) = (+)
(+)(-) = (-)(+) = (-)
(+)(+) = (+)
Answer:
13
Step-by-step explanation:
12x+1 = 13
from a balloon 1127 feet high, the angle of depression to the ranger headquarters is 79° 56'. how far is the headquarters from a point on the ground directly below the balloon?
Check the picture below.
make sure your calculator is in Degree mode.
graph the following inequality x≥2
Answer:
The graph is as attached.
Step-by-step explanation:
Simply draw a line of x = 2 on your graph paper.
That line should be a complete line not dotted line.
Since x is greater than 2, shade the left side of the line because we are interested in the right side (where x is greater and equal to 2)
Answer:
Here, the given inequality,
[tex]x\geq 2[/tex]
Related equation is,
x = 2
Which is the equation parallel to y-axis and passes through (2,0),
Also, 0 ≥ 2 ( False )
The shaded region of the inequality will not contain the origin,
Now, '≥' shows the solid line.
Thus, by the above explanation,
We can graph the given inequality ( shown below )
Which variable is discrete
a time to finish a race
b temperature at start of race
c number of runner in race
d length of race in kilometers
Answer:
C. The number of runners in a race
Step-by-step explanation:
Variables can be widely be classified as either discrete or continuous. A continuous variable is a variable which can take on any value within its domain. A continuous variable can take on fraction of units. Examples of continuous variables include;
time to finish a race - it can be 10.5 sec or 35.56 sec
temperature at start of race - the temperature could be 25.5 K, or 45.57 K
length of race in kilometers - the length could be 20 km, 22.45 km or 38.8 km
All the above variables can be measured in fraction of units and are thus continuous in nature.
On the other hand, a variable is said to be discrete if it can take on only integer values. An example in this case would be ;
the number of runners in a race. We can only have, 10, 45, 600, 565 and so on runners but never a fraction of a runner.
A bag of flour weigh 3 lb. If a chef needs 15 lb. of flour, how
many bags of flour should he buy?
Answer:
The chef would need 5 bags
Step-by-step explanation:
Because 3 times 5 equals 15
To determine the number of bags of flour the chef should buy, divide the total weight required (15 lb) by the weight of one bag (3 lb), resulting in the need to purchase 5 bags.
To find out how many bags of flour the chef should buy, we need to divide the total weight of flour needed by the weight of one bag. If a bag weighs 3 lb, and the chef needs 15 lb, we calculate it as follows:
Determine the total weight needed: 15 lb.
Determine the weight of one bag: 3 lb.
Divide the total weight by the weight of one bag: 15 lb \/ 3 lb = 5 bags.
Therefore, the chef should buy 5 bags of flour to have a total of 15 lb.
A baker has 6 small bags of flour. Each bag weighs 1 pound. She divides each bag into thirds. How many 1/3 - pound bags of flour does the baker have? Show your work. Simplify if necessary.
Answer:
18 smaller bags
Step-by-step explanation:
Each one pound bag becomes 3 one-third pound bags.
So 6 one pound bags will become 6×3=18 one-third pound bags.
Answer:
18 smaller bags
Step-by-step explanation:
A math teacher assigns three projects. She gives the students five project options to choose from. How many different groups of projects can students choose from?
Answer:
15
Step-by-step explanation:
3 options x 5 options = 15 total options
Y= 10x - 32 what is the x and y value of this equation
Answer:
[tex]y=10x-32 \\ \\ x=\frac{y}{10}+3.2[/tex]
Step-by-step explanation:
[tex]y=10x-32[/tex]
Because that's the equation given.
To solve for x, isolate the variable and then divide by the coefficient.
[tex]y=10x-32 \\ \\ 10x=y+32 \\ \\ x=\frac{y}{10}+\frac{32}{10} \\ \\ x=\frac{y}{10}+3.2[/tex]
What is the circumference of a circle having a radius of 6cm?
Answer:
12cm.
Step-by-step explanation:
The radius is half of a circe.
6 * 2 = 12.
Answer:
37.68 cm
Step-by-step explanation:
the circumference of a circle is : P = 2π r
P= 2×3.14×6 =37.68 cm
Find the surface area of the open top flower box shown
Answer: [tex]68ft^2[/tex]
Step-by-step explanation:
The formula for calculate the surface area of a rectangular prism is:
[tex]SA=2lw+2lh+ 2wh[/tex]
Where "l" is the lenght, "w" is the width and "h" is the height.
In this case, you know that the top of the flower box is opened, then, the formula changes to:
[tex]SA=lw+2lh+2wh[/tex]
You can identify that the dimensions of the box are:
[tex]l=10ft\\w=2ft\\h=2ft[/tex]
Then you must substitute these values into the formula [tex]SA=lw+2lh+2wh[/tex].
Finally, you get that the surface area of the open-top flower box is:
[tex]SA=lw+2lh+ 2wh\\SA=(10ft)(2ft)+(2)(10ft)(2ft)+(2)(2ft)(2ft)]\\SA=68ft^2[/tex]
Answer:
The surface area of box = 64 ft²
Step-by-step explanation:
From the figure we can see that a cuboid with length = 10 ft, width = 2 ft and height = 2 ft
To find the surface area of cuboid
Surface area = 2(lb + bh + lh) - lh
= [2(10 * 2) + (2 * 2) + (10 * 2)] - (10 * 2)
= [2( 20 + 4 + 20)] - 20
= 2 * 44 - 20 = 84 - 20 = 64 ft²
The correct answer is surface area of box = 64 ft²
x>y, and the difference between x and y is 5. The number x is 1 more than twice the number y.
Answer:
the answer is d
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the distance between these points. R(-1, 0), S(8, 6)
ANSWER
[tex]d = 3 \sqrt{13} [/tex]
EXPLANATION
We use the distance formula to find distance between two points.
[tex]d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2} [/tex]
The two points are R(-1, 0) and S(8, 6).
We substitute the points into the formula to get:
[tex]d = \sqrt{(8 - - 1)^2 +(6-0)^2} [/tex]
[tex]d = \sqrt{(9)^2 +(6)^2} [/tex]
[tex]d = \sqrt{81+36} [/tex]
[tex]d = \sqrt{117} [/tex]
[tex]d = 3 \sqrt{13} [/tex]
Therefore the distance between the two points is [tex]3 \sqrt{13} [/tex] units.
Answer:
The distance between these points = 3√13
Step-by-step explanation:
Points to remember
Distance formula
Length of a line segment with end points (x1, y1) and (x2, y2) is given by,
Distance = √[(x2 - x1)² + (y2 - y1)²]
It is given two points R(-1, 0) and S(8, 6)
To find the distance
Here, (x1, y1) = (-1, 0) and (x2, y2) = (8, 6)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(8 - -1)² + (6 - 0)²]
= √[(8+1)² + (6)²]
=√[(9)² + (6)²]
= √[(81 + 36)]
=√117 = √(3 * 3 * 13)
= 3√13
The distance between these points = 3√13
Sally’s dog boarding service currently has 2 Great Danes, 8 golden retrievers, 22 mastiffs, and 12 Doberman pinschers. What is that ratio of Doberman pinschers to the total number of dogs at Sally’s boarding service?
Answer:
3/11
Step-by-step explanation:
First, determine how many dogs are at the boarding service:
2+8+22+12 = 44
Then:
# of Dobermans 12
-------------------------- = ------- = 6/22 or 3/ 11
total # of dogs 44
The desired ratio is 3/11.
What lengths would allow you to calculate the volume of the oblique pyramid with a square base? Check all that apply. AB and EF AC, CB, and EF AC and EF AD, DB, and EF AD, DC, and EF
Answer:
A. AB and EF
B. AC, CB, and EF
D. AD, DB, and EF
Step-by-step explanation:
The lengths would help you to calculate the volume of the oblique pyramid are:
AB and EF AC, CB, and EF. AD, DB, and EFWhat is an Oblique pyramid?An oblique pyramid is known to be a type of shape that is often known as 'right pyramid'.
Note that its shape is one that has the ap.ex "is shaped" to one side and as such the options that can best explain the volume of the oblique pyramid is the ones written above.
Learn more about oblique pyramid from
https://brainly.com/question/16720281
Evaluate 3a2 + 2b when a = -4 and b = 6.
156
48
36
144
60
156
Explanation:
3 x -4 =-12
-12 x -12 = 144
2 x 6 = 12
12 + 144 =156
Answer:
60
E
Step-by-step explanation:
Givens
a = - 4
b = 6
Formula
3a^2 + 2b
Solution
3(-4)^2 + 2*6
3(16) + 12
48 + 12
Answer: 60
Which of these statements is true for f(x)=(1/2)^x
Answer:
The correct option is C.
Step-by-step explanation:
The general exponential function is
[tex]f(x)=ab^x[/tex]
Where, a is initial value and b is growth factor.
The given function is
[tex]f(x)=(\frac{1}{2})^x[/tex]
Here [tex]b=\frac{1}{2}<1[/tex], therefore it is a decay function. In other words, the given function always decreases.
The given function is defined for all real numbers, therefore the domain of the function is all real number.
Put x=0, to find the y-intercept.
[tex]f(x)=(\frac{1}{2})^0=1[/tex]
The y-intercept of the function is at (0,1). Therefore option C is correct.
[tex](\frac{1}{2})^x>0[/tex]
[tex]f(x)>0[/tex]
Therefore the range of the function is y>0.
Answer:
The correct answer is C: The y-intercept is (0,1).
Ken earned $128 from his part time job this summer he spent 25% of his money on games he is going to donate 1/6 of the remaining money to charity how much money will the charity recieve
Ken earned $128 from his part-time job and spent 25% of it, leaving him with $96. He then donated 1/6 of the remaining money to charity, which equals $16.
Explanation:This problem is about percentages and fractions. Ken earned $128 from his part-time job and spent 25% of it on games, which equals <$128 * 25/100 = $32>. So after buying games, Ken is left with <$128 - $32 = $96>. Ken then decides to donate a fraction, 1/6 of the remaining money to charity. To figure out how much he donates, we multiply $96 by 1/6, which is <$96 * 1/6 = $16>. So, Ken donates $16 to charity from his summer job earnings.
Learn more about Percentages and Fractions here:https://brainly.com/question/12715980
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What is the product of 2x + y and 5x – y + 3? x2 + xy + x + y2 + y
Answer: [tex]10x^2+3xy+6x-y^2+3y[/tex]
Step-by-step explanation:
You need to remember the Product of powers property:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Then, knowing this property, now you have to apply the Distributive property. So:
[tex](2x+y)(5x-y+3)=\\\\=(2x)(5x)-(2x)(y)+(2x)(3)+(y)(5x)-(y)(y)+(y)(3)\\\\=10x^2-2xy+6x+5xy-y^2+3y[/tex]
Finally, to simplify this expression, you need to add the like terms.
Therefore, you get that the product is:
[tex]=10x^2+3xy+6x-y^2+3y[/tex]
Answer:
10 3 6 -1 3
Step-by-step explanation:
A store donated cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?
In order to find out the total number of crayons, you multiply the number of cases by the number of boxes per case, and then by the number of crayons per box. Assuming the store donated 5 cases, the daycare center received a total of 960 crayons.
To determine how many crayons the daycare center received from the store, we need to multiply the number of cases the store donated by the number of boxes in each case, and then multiply that by the number of crayons in each box. Let's break it down step by step:
Find the total number of boxes by multiplying the number of cases by the number of boxes in each case.Find the total number of crayons by multiplying the total number of boxes by the number of crayons in each box.Assuming the store donated 5 cases (the number of cases was not specified in the question, so we need to assume a number for this example), here's how you would calculate it:
Total number of boxes = 5 cases * 24 boxes/case = 120 boxesTotal number of crayons = 120 boxes * 8 crayons/box = 960 crayonsTherefore, the daycare center received a total of 960 crayons.
Diego's family car holds 18 gallons of fuel. Each day the car uses .8 gallons of fuel. A warning light comes on if the remaining fuel is 1.2 or less.
a. starting from full tank, can Diego's car go 15 days without the warning light turning on?
b. starting from a full tank, can Diego's car drive 20 days without the light coming on?
c. Deigo says that the expression 18-.8t helps him understand, what does T stand for?
d. write and solve an equation to determine the number of days his car can go before the warning light turns on.
e. write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.
Answer:
a) yes
b) yes
c) days
d) equation: 18 - 0.8x =1.2
solution: 21
e)inequality: equation: 18 - 0.8x [tex]\geq[/tex]1.2
solution: x < 21. This means that if he drives for less than 21 days the warning sign won't turn on.
Step-by-step explanation:
a) 18 - 15*0.8 = 6 so yes
b) 18 - 20*0.8 = 18 - 16 = 2
d) 18 - 0.8x =1.2
0.8x = 16.8
x = 16.8/0.8 = 21
Final answer:
a. No, the car cannot go 15 days without the warning light turning on. b. No, the car cannot drive 20 days without the light coming on. c. 'T' in the expression 18 - 0.8t stands for the number of days of fuel usage. d. Diego's car can go 21 days before the warning light turns on. e. The inequality 18 - 0.8t > 1.2 represents the situation.
Explanation:
a. To determine if Diego's car can go 15 days without the warning light turning on, we need to find out how much fuel will be left after 15 days of usage. Each day the car uses 0.8 gallons of fuel, so after 15 days, the car will have used 15 * 0.8 = 12 gallons of fuel. Starting from a full tank of 18 gallons, the remaining fuel after 15 days will be 18 - 12 = 6 gallons. Since the warning light comes on if the remaining fuel is 1.2 gallons or less, Diego's car will not be able to go 15 days without the warning light turning on.
b. To determine if Diego's car can drive 20 days without the light coming on, we follow the same steps as in part a. After 20 days, the car will have used 20 * 0.8 = 16 gallons of fuel. Starting from a full tank of 18 gallons, the remaining fuel after 20 days will be 18 - 16 = 2 gallons. Since the remaining fuel is less than 1.2 gallons, the warning light will turn on before 20 days.
c. In the expression 18 - 0.8t, 't' represents the number of days of fuel usage.
d. To determine the number of days Diego's car can go before the warning light turns on, we need to solve the equation 18 - 0.8t = 1.2. Rearranging the equation, we have 0.8t = 18 - 1.2, which simplifies to 0.8t = 16.8. Dividing both sides by 0.8, we get t = 21. So Diego's car can go 21 days before the warning light turns on.
e. To write an inequality that represents this situation, we can say that the remaining fuel after t days should be greater than 1.2 gallons. This can be expressed as 18 - 0.8t > 1.2. Solving this inequality, we get t < 21. This means that Diego's car can go up to 20 days before the warning light turns on, but on the 21st day, the warning light will turn on.
How do I solve using quadratic formula?
Answer:
Step-by-step explanation:
In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing.
My bro is right good job
Write a rule to find the nth term for an arithmetic sequence given the following:
a3 = 14
a12 = 59
Recursive rule: ?
Explicit rule: ?
Write an explicit and recursive rule for a sequence given the following:
a4 = 2
r = 1/3
Recursive rule: ?
Explicit rule: ?
ANSWER
See explanation
EXPLANATION
Question 1:
The third term of the arithmetic sequence is :
14=a+2d...(1)
The twelveth term is
59=a+11d...(2)
Subtract equation (1) from (2)
45=9d
This implies that
d=5
a=14-2(5)=4
The explicit rule is;
[tex]a_{n}=4 + 5(n - 1)[/tex]
[tex]a_{n}=4 + 5n -5[/tex]
[tex]a_{n} = 5n -1[/tex]
Recursive formula:
[tex]a_{n}=a_{n - 1} + 5[/tex]
Question 2
The geometric sequence has the fourth term to be 2 and the common ratio to be r=⅓
This implies that,
[tex]a {( \frac{1}{3} })^{3} = 2[/tex]
This implies that,
[tex] \frac{a}{27} = 2[/tex]
[tex]a = 54[/tex]
The explicit rule:
[tex]a_n=54 {( \frac{1}{3} })^{n - 1} [/tex]
The recursive rule is
[tex]a_n=( \frac{1}{3} )a_{n-1}[/tex]
where,
[tex]a_1 = 54[/tex]
Answer:
I'm having trouble with this type of math to so your not alone
Step-by-step explanation:
What is the sum of the first 10 terms of the sequence defined by an=4n-3
A. 37
B. 190
C. 380
D. 384
The answer to this is:
B. 190
The sum of the first 10 terms of the sequence an=4n-3 is 190.
The question is asking for the sum of the first 10 terms of the sequence defined by an=4n-3. To find the sum, we first list the first 10 terms by substituting values of n from 1 to 10 into the formula. Thus, for n=1, a1=1(4)-3=4-3=1; for n=2, a2=2(4)-3=8-3=5; and so on until n=10, a10=10(4)-3=40-3=37.
The first ten terms of the sequence are: 1, 5, 9, 13, 17, 21, 25, 29, 33, and 37. The sum of these terms can be calculated as 1+5+9+13+17+21+25+29+33+37 = 190.
identify the domain and range of the function graphed below
Answer:
Part 1) The domain is
[tex]x\leq 4[/tex]
All real numbers less than or equal to 4
Part 2) The range is
[tex]y\geq 0[/tex]
All real numbers greater than or equal to 0
Step-by-step explanation:
Part 1) Find the domain
Observing the graph
we know that
The domain is the interval for x ------> (-∞,4]
so
[tex]x\leq 4[/tex]
All real numbers less than or equal to 4
Part 2) Find the range
Observing the graph
we know that
The range is the interval for y ------> [0,∞)
[tex]y\geq 0[/tex]
All real numbers greater than or equal to 0