Answer:
- Integers, b ≠ 0 and d ≠ 0.
- r - s = (ad - bc)/bd.
- products and differences of integers are integers.
- zero product property
- quotient.
Step-by-step explanation:
Rational numbers are integers that can take the form of numerator divided by a denominator, that is to say in the form of 'a/b;. So, we are given from the question or problem to prove and fill in the gap the correct information or data:
For the first part of the question:
The missing data in the gap = Integers; b ≠ 0 and d ≠ 0. That is to say the denominators can not be zero or say that the denominators are non zero. This is one of the properties or let us say one of the ways of identifying a Rational number.
For the second part:
The missing data in the gap = a/b - c/d = (ad - bc)/bd. This is the representation in a simplified form.
For the third part:
The missing data or information = products and differences of integers are integers.
For the fourth part:
The missing data or information: zero product property, that is to say the product of the numerators is not equal to zero, or it is non zero.
For the fifth part:
The missing data or information: quotient. r - s is a quotient of two integers.
-9(-2x-3) simplified
Answer:
18x +27
Step-by-step explanation:
-9(-2x-3)
Distribute
-9 * -2x -9*(-3)
18x +27
Please help guys this has to be do in 10:00 please help
Answer:
1)14oz
2)28oz
Step-by-step explanation:
1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)
42*1/3=14
So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.
So that means she has 28 oz of water left when she gets there.
what is the estimated square root of 15 closest to
Ten less than a number is twice the same number
Meaning lees 10 from 20 and multiply
Hi there!
First of all, let the unknown number be z.
Now, subtract 10:
z-10
This expression is equal to twice the same number:
z-10=2z
Solve this equation:
z-2z=10
-z=10
Divide both sides by -1 in order to get rid of the minus sign:
z=-10
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
is |-4| equal to |4|?
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
Answer:
yes
Step-by-step explanation:
the l l symbol is the absolute value symbol, it counts how far the number is from zero meaning that the outcome is always positive.
100 POINTS SHOW YOUR WORK, ANSWER ALL PLEASE HELP!!!!
A chef has a favorite muffin recipe that uses 1/2 cup of blueberries for a whole batch. He has 3/4 cups of blueberries that he wants to use. Which equation can be used to solve for the number of batches of muffins, b, that the chef can make?
3/4 ÷ 1/2 = B
3/4 ÷ 2/1 = B
1/2 ÷ 3/4 = B
2/1 ÷ 3/4 = B
Monty has 3/4 pound of trail mix. He needs to divide the trail mix into 1/8 pound bags. How many trail mix bags will Monty have?
An adult elephant in the wild spends about 16 hours each day eating. During that time, the elephant will eat about 525 pounds of food.
If the elephant eats the same amount of food each hour, about how much food does it eat in one hour, to the nearest whole pound? Show or explain how you got your answer.
Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500?
Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27.
What did he write?
A club with 24 members has 4,896 event flyers to pass out.
Each member will be given the same number of flyers.
How many flyers does each member get?
Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.
Quantity of trail mix with Monty = 3/4 pounds
Quantity of pounds he need to divide it into = 1/8
Number of trail mix bags Monty will have =
= 3/4 ÷ 1/8
= 3/4 × 8/1 ( division of fraction is multiplication with reciprocal )
= 24/4
We know that both 24 and 4 is divisible by 4 . Hence ,
= 24 ÷ 4 / 4 ÷ 4
= 6/1
= 6 bags
Therefore , Monty will have 6 bags of trail mix .
Solution 3 :Quantity of food an elephant eats in 16 hours = 525 pounds
Quantity of food the elephant will eat in 1 hour = 525 ÷ 16
Quantity of food the elephant will eat in 1 hour = 32.8125 pounds = 33 pounds
Therefore , an elephant eats 33 pounds of food in 1 hour .
Solution 4 :Number of tickets that can be purchased with $14 = 1 ticket
Number of tickets that can be purchased with $500 =
= 500 ÷ 14
= 35 tickets
Therefore , 35 tickets can be purchased with $500 .
Solution 5 :Factors of 45 = 1 , 5 , 3, 9 , 15 and 45 .
Factors of 27 = 1 , 3 , 9 and 27 .
Their Greatest common factor = 9 .
Then , the sum of 45 and 27 can be written as :
9 ( 5 + 3 )
Therefore , Mr . Morris wrote = 9 ( 5 + 3 ) .
Solution 6 :Total number of event flyers in a club = 4896
Total number of playerz in a club = 24
Then number of flyers each member of the club will get =
= 4896 ÷ 24
= 204
Therefore , each player will get 204 flyers .
Solution 7 :Part A is not given .
Part B :
= 7950 ÷ 25
= 318
Therefore , 7950 ÷ 25 = 318 .
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
how many numbers are between k and n
Answer:
n-k-1
Step-by-step explanation:
n is bigger than k. It asks BETWEEN k and n. so, since n is bigger than k, n-k. since it says BETWEEN, you subtract 1 after that
got it?
=)
oh and the reason i am strict about BETWEEN, is because when it said between, then its discluding k and n.
If it says FROM k and n, then you both include k and n, and that would result of adding 1 instead of subtracting 1.
The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.
Which statement describes the limitation for the reasonable domain compared to the mathematical domain?
The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.
Answer:The reasonable domain contains only positive whole numbers.
Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.
Answer:
B on edge 2021
Step-by-step explanation:
Increased by 175%, the number of 24 becomes what?
Answer:
66
Step-by-step explanation:
increase the number by 175% of its value.
percentage increase = 175% × 24
new value =
24 + percentage increase =
24 + (175% × 24) =
24 + 175% × 24 =
(1 + 175%) × 24 =
(100% + 175%) × 24 =
275% × 24 =
275 ÷ 100 × 24 =
275 × 24 ÷ 100 =
6,600 ÷ 100 =
66
Nate and his brother are saving money to buy a gaming system. The system they want cost $349. The store is having a sale and the system is 30% off. State sales tax 6%.
Answer:
258.96
Step-by-step explanation:
%30 = 0.3
%6 = 0.06
so..
349 - (349 × 0.3)
349 - 104.7
244.3
then do the tax which is %6 or 0.06
244.3 + (244.3 × 0.06)
244.3 + 14.66
258.96
Good Job! Pls Brailniest! it would mean a lot ;) !
The slope of a line is 15 and the point (3, -1) lies
on the line. Write an equation of the line in
point-slope form.
Answer:
The answer is
[tex] \huge y + 1 = 15(x - 3) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 1 = 15(x - 3)[/tex]
Hope this helps you
Find the slope of the line passing through the points (8,-4) and (-6,-3).
Anybody know this ?
Answer:
= -1/14
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 - -4)/( -6 -8)
= ( -3+4)/( -6-8)
1/-14
= -1/14
Suppose f(x)=2x−5 and g(x)=|−3x+1|. Find the value of f(x−2)
Answer:
2x-9
Step-by-step explanation:
f(x)=2x-5
to find f(x-2) we substitute x-2 in place of x
hence,f(x-2)=2(x-2)-5=2x-4-5
=2x-9
am i correct?
Find the mean of these numbers:
2,57, 38, 42,6
Answer:no
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
add all of those numbers and divide it by the value of how many numbers there are in total.
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g.
Answer:
C = 2.75g
Step-by-step explanation:
The total cost of the gas purchased is the product of the price per gallon and the number of gallons.
Hope this helps. :)
Which graph represent proportional relationship?
Answer:
C
Step-by-step explanation:
Non proportional graphs are non-linear and don’t go (necessarily) through 0,0
Proportional graphs are linear and always (eventually) cross through with 0,0
Express the number 7,980 in scientific notation.
Answer:
7.98x10^3
Step-by-step explanation:
10^3=1000
Answer:7.980 × 10^3
Step-by-step explanation:
write in standard form -4 + y +2x = 0
Answer:
the answer is 2x+y=4
Step-by-step explanation:
2x+y=4
Answer:
y = -2x + 4
Step-by-step explanation:
Olga has $40 in her wallet. She has one more $5 bill than $10 bills, and two more $1 bills than $5 bills. If Olga has only three types of bills, how many bills of each denomination does she have?
Answer:
Number of $10 bills = 2
Number of $5 bills = 3
Number of $1 bills = 5
Step-by-step explanation:
Given:
Total amount = $40
Number of $10 bills = x
Number of $5 bills = x + 1
Number of $1 bills = x + 1 + 2 = x + 3
Find:
Number of each bills
Computation:
10(x) + 5(x+1) + 1(x+3) = 40
10x + 5x + 5 + x + 3 = 40
16x = 32
x = 2
Number of $10 bills = x = 2
Number of $5 bills = x + 1 = 3
Number of $1 bills = x + 3 = 5
Answer:
# of $10 bills = 2
# of $5 bills = 3
# of $1 bills = 5
Step-by-step explanation:
a centroid is the intersection of three
1. altitudes in a triangle
2. medians in a triangle
3. angle bisectors in a triangle
4. perpendicular bisectors in a triangle
Answer:
medians in the triangle
Step-by-step explanation:
just took the test
What is the answer to -1x(-2)
Answer: 2x
Step-by-step explanation:
Answer:
2x
Step-by-step explanation:
Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D
In Mrs. Munson's 9th hour science class there are 15 girls and 9 boys. Which of the
following is the ratios of girls to boys IN SIMPLEST form?
O 5:1
15:9
O 5:3
30:18
Answer:
15-9
Step-by-step explanation:
Answer:
5:3
Step-by-step explanation:
[tex]15 \div 3 = 5[/tex]
[tex]9 \div 3 = 3[/tex]
The ratio of chocolate
chip cookies to total
cookies on a tray is 3:5.
What percent of the tray
is chocolate chip
cookies?
Answer:
The percent is 75%
Step-by-step explanation:
The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Answer:
The answer is "[tex]\bold{11000(0.83)^t}[/tex]".
Step-by-step explanation:
[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]
[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]
[tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]
Who likes sushi?!?!?!
Answer:
I do :)
Step-by-step explanation:
Lol I usually get the crunchy roll
Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.
Answer:
65
Step-by-step explanation:
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
pwease help!! i need help to put the answers in the box c:
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
4. Gabby ate 25 % of a whole pepperoni pizza.
Lebron ate 1/8 of the pizza.
What fraction of the pizza was left for Mohamed to eat?
Answer:
There is 5/8 left for Mohamed to eat.
Step-by-step explanation:
Let's put everything into fractions of 1/8. knowing that 25% is 1/4 or 2/8, 1/8 + 2/8= 3/8. and to find the answer, you need to subtract 3/8 from 8/8 or 1.
As a result, 5/8.
1/8 = 12.5%
12.5% + 25% = 37.5%
We need to know how much is left.
37.5% is gone, so 100% - 37.5% = 62.5%
62.5% is left for Mohamed to eat.
62.5% = 5/8.
5/8 of a pizza is left for mohamed to eat.