How can the basic fact help find 3,000 divided by 5?? I need help
Answer:
3000/5 = 600
Step-by-step explanation:
Every multiplication fact is equivalent to two (2) division facts:
a·b = c ⇒ c/a = b and c/b = a
Multiplication or division by 10 involves moving the decimal point one place to the right or left (respectively).
Recasting the problemThe division ...
\(\dfrac{3000}{5}\)
is fully equivalent to ...
\(\dfrac{30}{5}\times 100\)
Using the basic factWe assume your "basic fact" is 5×6 = 30. In accordance with the above equivalence to division problems, this tells you ...
\(\dfrac{30}{5}=6\\\\\dfrac{30}{5}\times100 = 6\times100\\\\\dfrac{3000}{5}=600\)
2, 6, 18, 54. 162,...
The first five terms of a geometric sequence are given above.
Write a recursive function rule for the sequence.
a
f\left(n\right)=3f\left(n\right)+2
b
f\left(n\right)=2n
c
f\left(n\right)=3f\left(n-1\right),\ n1=2
d
f\left(n\right)=3n+2
9514 1404 393
Answer:
\(\text{c. }f(n)=3f(n-1);f(1)=2\)
Step-by-step explanation:
The first term is 2, so part of the recursive definition is ...
f(1) = 2
The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...
f(n) = 3·f(n -1)
These two parts of the definition match choice C.
A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6 ounces of coffee and 2 ounces of milk and earns a profit of $0.40. Each bottle of café au lait requires 4 ounces of coffee and 4 ounces of milk and earns a profit of $0.50. The manufacturer has 720 ounces of coffee and 400 ounces of milk available for production each day. To meet demand, the manufacturer must produce at least 80 coffee drinks each day. Let x = the number of cappuccino bottles and y = the number of café au lait bottles.
Identify the constraints on the system other than
x ≥ 0 and y ≥ 0.
→x + y ≥ 80
0.4x + 0.5y ≥ 100
→6x + 4y ≤ 720
→2x + 4y ≤ 400
6x + 2y ≥ 720
4x + 4y ≥ 400
Complete the objective function.
P = 0.40x + 0.50y
The objective function for this situation is given by x > 0, y > 0, 6x + 4y ≤ 720, 2x + 4y ≤ 400, x + y ≥ 80 and P = 0.4x + 0.5y
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of cappuccino bottles and y represent the number of café au lait bottles.
Hence:
x > 0, y > 0
Also:
6x + 4y ≤ 720
2x + 4y ≤ 400
x + y ≥ 80
and
P = 0.4x + 0.5y
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How many 4-digit natural numbers are there?
Answer:
9000
4-digit numbers..
There are 90 students in a lunch period, and 5 of them will be selected at random for deaning duty every week.
Each student receives a number 01-90 and the school uses a random digit table to select a simple random
sample of 5 students.
Which 5 students should be assigned cleaning duty?
87174 09517 84534 06489 87201
Choose 1 answer:
87, 17, 40,95,17
B
87,17,40,84,53
87, 17, 40,17,81
87, 17, 10,95,81
The probability of choosing any 5 students will be 5% so for all the options the probability will be same.
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.
Here total samples are [90]
favorable outcomes should be [5]
So the probability to select 5 random students from 90 will be
\(P=\dfrac{5}{90}=0.05=0.05\times 100=5\%\)
Hence the probability of choosing any 5 students will be 5% so for all the options the probability will be same.
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-3x - 2y=6 how would I graph this? Do I solve it first?
Given:
The expression is given as,
\(-3x-2y=6\)The objective is to graph the function.
Explanation:
As the degree of the function is 1, the graph of the expression will be a straight line.
To obtain two coordinates to draw a straight line first consider x = 0 in the expression.
\(\begin{gathered} -3(0)-2y=6 \\ y=\frac{6}{-2} \\ y=-3 \end{gathered}\)Thus, the obtained coordinate is (0,-3).
Now, consider y = 0 in the given expression.
\(\begin{gathered} -3x-2(0)=6 \\ x=\frac{6}{-3} \\ x=-2 \end{gathered}\)Thus, the obtained coordinate is (-2,0)
To plot the graph:
Thus, the graph of the expression will be,
Hence, the graph of the equation is obtained.
What is the slope and y-intercept of y=6.75?
Step-by-step explanation:
There's no slope and y-intercept in such a question, maybe you should try typing a valid question for an effective answer.
Write the next three terms of the arithmetic sequence.
1.3,1,0.7,0.4,
Answer:
0.1
-0.2
-0.5
Step-by-step explanation:
Each term is 0.3 less than the previous term
1.3 - 0.3 = 1
1 - 0.3 = 0.7
0.7 - 0.3 - 0.4
0.4 - 0.3 = 0.1
0.1 - 0.3 = -0.2
-0.2 - 0.3 = -0.5
Mathematically, an odds ratio equates to a risk ratio, therefore, odds ratios can be interpreted in an exactly same way as risk ratio.
true/ false
False, Mathematically, an odds ratio equates to a risk ratio, therefore, odds ratios can be interpreted in an exactly same way as risk ratio.
What distinguishes risk from probability?
The fundamental distinction is that the relative risk is a ratio of two probabilities, but the odds ratio is a ratio of two odds (yes, it's that clear). (The risk ratio is another name for the relative risk.)
Used to approximate the relative risk in case-control studies, when the occurrence of diseases are KNOWN
odds of an event = the number of ways an event can occur to the numbers of ways an event cannot occur
odds ratio = P / (1-P)
where P = probability of occurrence
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any " Which of the following numbers have a remainder of I when divided by 2? (There is more than one answer) A) 327 B) 400 C) 751 D) 148 E) 1,356
A. 327 and C.751 have a remainder of 1 when divided by 2
What is an Even Number?Even Numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2. They are numbers that are a multiple of 2. Examples are: 2, 4, 6, 8, 10, and so on are even numbers.
How to determine this,
By dividing each words by 2
327 divided by 2 = 163 remainder 1
So, this is not an even number when divided by 2
400 divided by 2 = 200 remainder 0
This is an even number
751 divided by 2 = 375 remainder 1
This is not an even number
148 divided by 2 = 74 remainder 0
This is an even number
1356 divided by 2 = 678 remainder 0
So, this is an even number
Therefore, only 327 and 751 have a remainder of 1 when divisible by 2.
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Please help me I need help
Answer:
B, C
Step-by-step explanation:
The first question represents that since they already have 88 magazines sold, that should be added to the amount they *need* to sell
As they need to sell a total of 200, the total amount remaning *plus* the amount already sold should equal 200
This can be represented by 5m, with m referring to the amount of magazines in one day, times 5, plus 88 to equal 200 (5m+88 = 200)
The second questions is a tiny bit trickier, but is no different than before. Since she would get a penalty for going lower than 20, than the amount we're trying to be equal to should be exactly 20, which is expressed through C
500 in her account, minus 45k with k being weeks is equal to 20.
(500-45k = 20)
I need help question
Answer: with what???
hello pleASE I need helppppppp
I can help you with that problem i just did that on my own.
The equation below shows the cost, in dollars, of a T-shirt, selling at $12.00, and 3 pairs of socks. What is the cost of one pair of socks, s? 12 + 3s = 42
Answer:
The answer is one pair of socks = $10
Step-by-step explanation:
I subtracted 42 by 12 and got 30. I then divided 30 and 3 and got 10.
42-12=30
30/3=10
Or you can subtract 12 from both sides to get the variable on one side. Then you divide the variable by the coefficient (3) and divide 30 by 3 to get 10.
Which graph shows the solution to the inequality -3x-7 <20?
-10
←++
-10
-10
←++
-10
-5
-5
-5
-5
0
0
0
0
5
5
5
5
10
10
10
10
Answer:
x > 9
Step-by-step explanation:
Hello!
First let's solve the inequality for x.
Flip the sign if you are dividing by a negative number.
Solve for x\(-3x - 7 < 20\)\(-3x < 27\)\(x > 9\)Now let's graph it on a number line. If it is a greater or less than symbol, we use an open circle. If it is a greater than or equal to or a less than or equal to, we use a closed circle.
Plot the point of 9 with an open circle, and shade in a line towards the right (all values greater than 9).
assuming that if a logical vector z has at least one entry true, which of the function will always be false ? group of answer choices any(!z) all (!z) any(z) all(z)
If a logical vector z has at least one entry TRUE, the function all(!z) will always be false.
If a logical vector contains only TRUE items, the all() method returns FALSE; otherwise, it returns TRUE.
The any() function, on the other hand, gives a result of TRUE if a logical vector has at least one element that is TRUE and FALSE otherwise.
any(z) will always be TRUE if z contains at least one TRUE element since there is at least one TRUE element. On the other hand, depending on whether all of the components of z are TRUE, all(z) may or may not be TRUE.
any(!z) will always return FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.
Additionally, all(!z) will always return FALSE if any element is FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.
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What is the coefficient in the expression 15y + 5
Answer:
15
Step-by-step explanation:
If helpful, please give 5 star, thanks, and brainliest!
pls help with this math problem
Answer:
-8 > 8
Step-by-step explanation:
You find one that is less and one that is greater
Which expression is equivalent to -8?
Answer:
2^-3
Step-by-step explanation:
Answer:
The answer is the second one: \((-1/2)^{-3}\)
Step-by-step explanation:
1) When an exponent is negative, we must 'flip' the term before applying the exponent.
\((-1/2)^{-3}\) = \((-2/1)^3\)= \(-2^3\)
2) Next, we need to cube two. Remember, the negative number does not apply yet!
\(-2^3\) = -8
3) Thus, we get our answer. -8.
I hope this help, firend!!
Find 3[g(4)] if g(x) = -2x + 10
Answer:
6
Step-by-step explanation:
= 3[-2(4) + 10]
= 3(-8 + 10)
= 3(2)
The function is given as g(x) = -2x + 10 then the solution of the 3[g(4)] would be equal to 6.
What is a function?A function is a type of relation, or rule, that maps one input to a specific single output.
Functions that are formed by composing two or more functions in a way that one's output is another's input are called composite functions.
They are also called functions of functions.
We have to find 3[g(4)] if g(x) = -2x + 10
3[g(4)] = 3[-2(4) + 10]
3[g(4)] = 3(-8 + 10)
3[g(4)] = 3(2)
3[g(4)] = 6
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CAN SOMEONE HELP ME PLEASE ASAP!
how do you simplify this?
Answer:
tan x
Step-by-step explanation:
(tan-x)[sec(pi/2)-x] (sin-x)
We know that tan (-x) = - tan (x) and sin (-x) = - sin (x)
-(tanx)[sec(pi/2)-x] -(sinx)
(tanx)[sec(pi/2)-x] (sinx)
Using the identity sec = 1/ cos
sec ( pi/2 -x) =1/cos ( pi /2 -x)
We know that cos (s-t)=cos (s) cos(t) + sin (s) sin (t)
1/ ( cos pi/2 cos x + sin pi/2 sin x) = 1/(0 cos x - 1 sinx) = 1 / sinx
Replacing into the equation
(tanx)[1/ sinx] (sinx)
tan x
in how many ways can first, second, and third prizes be awarded in a contest with 950 contestants? assume there are no ties.
There are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.
To determine the number of ways to award first, second, and third prizes in a contest with 950 contestants, we can use the permutation formula:
P(n, r) = n! / (n - r)!
where n is the total number of contestants and r is the number of prizes to be awarded (in this case, 3).
Using this formula, we get:
P(950, 3) = 950! / (950 - 3)!
= 950! / 947!
= 950 × 949 × 948
= 853,818,600
Therefore, there are 853,818,600 ways to award first, second, and third prizes in a contest with 950 contestants, assuming there are no ties.
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Suppose you rent a limousine for a formal reception. The bill for the evening is $50.00. A tax of 7% will be added, and you want to tip the chauffeur 17% for excellent driving. How much will you pay in total?
Answer:
$62.00
Step-by-step explanation:
7% of 50 is 3.5. 17% of 50 is 8.5. 8.5+3.5 is 12. 50+12= 62.
solve for b: 84,250=b(1.008)120
Answer: 696.511
Step-by-step explanation:
84,250 = b(1.008)120
84250 = 120.96b
b = 696.511
At Lara' party, 4 gallon of fruit punch are hared equally among 18 friend. How much fruit punch will each peron get?
Answer: About 0.2 gallons
Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.
Each of her friend will get 4 and a half gallons of juice.
What is division?Division is one of the four main arithmetical operations by which we find the equal distribution of something.
Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.
To find how much each of them got, we will divide total amount of punch by total number friends
Amount of juice each of them gets, = 18/4 = 4.5
Hence, Each of her friend will get 4 and a half gallons of juice.
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Joon is buying lotion for her mom's birthday. The lotion was originally priced at $18 but is now on sale for 20% off. How much will Joon pay for the lotion?
Answer:
Discount price= $14.4
Step-by-step explanation:
Giving the following information:
Original selling price= $18
Discount rate= 20% = 0.2
To calculate the discount price, we need to use the following formula:
Discount price= selling price * (1 - discount rate)
Discount price= 18 * (1 - 0.2)
Discount price= $14.4
Vance bought 2 packages of large beads and 1 package of medium beads. He bought 2 packages of large buttons and how many more beads than more buttons did vance buy
There are 472 more buttons bought by Vance than beads.
Define the term difference of number?One of the most crucial arithmetic operations, that is obtained by removing two integers, produces difference in mathematics.For the stated question table is made.
So,
Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).
= (2 × 96) + (1 × 64)
= 2 × (90 + 6) + 64
= (2 × 90) + (2 × 6) + 64
= 180 + 12 + 64
= 256 beads
Now,
Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)
= (2 × 56) + (2 × 38)
= 2 × (50 + 6) + 2 × (30 + 8)
= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)
= 100 + 12 + 600 + 16
= 728 buttons
Thus,
Difference for the number of buttons and beads
= 728 – 256
= 472 beads
So,
Therefore, there are 472 more buttons bought by Vance than beads.
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how to solve problem in the document
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 x 12 x 20 = 1920/2 = 960 cm^2
hope this helped
answer= 960
Step-by-step explanation: