The quotient of two consecutive positive integers is 1.02. What is the sum of these two integers?
If quotient of two consecutive positive integers is 1.02 then the sum of the two integers is 101.
What is Number system?A number system is defined as a system of writing to express numbers.
Let x be the smaller of the two consecutive positive integers. Then, the next consecutive integer is x + 1.
According to the problem, the quotient of these two consecutive integers is 1.02. In other words:
(x + 1) / x = 1.02
Multiplying both sides by x, we get:
x + 1 = 1.02x
Subtracting x from both sides, we get:
1 = 0.02x
Dividing both sides by 0.02, we get:
x = 50
Therefore, the two consecutive positive integers are 50 and 51, and their sum is:
50 + 51 = 101
Therefore, if quotient of two consecutive positive integers is 1.02 then the sum of the two integers is 101.
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betty's container of cranberry juice holds 200 milliliters. Herbert's container holds 7/8 as much juice. how many milliliters of cranberry juice do the two containers holds?
Using the distributive property, which expression is equivalent to 5(32)? 5(3+2) 32(5+2) 5*30 + 2*30 5(30+2)
The given expression 5(32) using the distributive property will be 5(30+2). The correct option is E.
What is Distributive property?The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of the multiplication of the third number with the first number (xa) and the third number with the second number (xb).
x(a+b) = xa + xb,
The given expression using the distributive property can be written as,
5(32) = 5(30 + 2)
Hence, the given expression 5(32) using the distributive property will be 5(30+2).
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3(x-y+5) ??????????!?????
Express each decimal as a fraction or a mixed number in simplest form. 0.2727272727
9,513 rounded to the nearest thousand
To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.
Explanation:To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.
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Different rose bushes are grown in a g reenhouse for two months. The number of flowers on each bush is counted at the end of the experiment
. 1. Independent Variable ________________________________________________________________________________
2. Dependent Variable ________________________________ ________________________________________________
3. Control Variable ________________________________________________________________________________
Can you give a reason why a calculator shows 2/3 equal to 0.666666667
The division of 2 by 3 will give an answer which does not terminate so the calculator rounds the answer.
Given division problem is 2 by 3.
Here it clearly cannot be divided evenly.
The quotient is 0.6666....
We know about the rounding of numbers.
When the next number is greater than 5, the preceding number will add 1.
Here each number is 6, which is greater than 5.
So any number can be written as 7 and then stop the answer.
So this can be written as :
0.7, 0.67, 0.667,...
Hence the calculator shows 7 after certain digits.
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given that one root is twice the other for the quadratic equation px-3x^2=24 . Find the values of p
Kevin ran 7 miles more than Steve ran. The sum of their distance is 33 miles. How far did Steve run? How far did Kevin run? What is your variation?
The ratio of the angle measures of the acute angles in a right angle is 2:3. Find the measures of the acute angles.
what is 9=4t+(-7t)
how would I find the value of t
a tree branch has 5 buds. each day 2 more buds sprout . how many buds are on the tree branch after 5 days. make a t chart
Answer:
Total number of buds on the tree branch after 5 days is:
15
Step-by-step explanation:
A tree branch has 5 buds.
Each day 2 more buds sprout.
i.e. After Day 1 number of buds=5+2=7
After Day 2 number of buds=7+2=9
After Day 3 number of buds=9+2=11
After Day 4 number of buds=11+2=13
After Day 5 number of buds=13+2=15
Hence, Total number of buds on the tree branch after 5 days is:
15
Write 2 subtraction equations to show how to find 15-7
Answer:
15-7=8
Step-by-step explanation:
just take away 7 from 15.
If a = 3, what is the value of the expression 36 ÷ a · 4 + 2?
5
48
50
72
Is 70 thousand written in standard form or word form ? Explain
Homework Help: All of the following expressions are equivalent except _____.
a) 2 - x
b) x - 2
c)-2 + x
d)x + (-2)
The expressions which are equivalent are x - 2, -2 + x, and x + (-2) so, option A is correct.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The expressions are equivalent,
Expressions that function identically despite having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).
As you can see in the options 2 - x because this will equal (-x +2) or 2 + (-x)
Thus, the expression which is not equivalent is 2 - x.
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what is 1/7+ x = 2/3x
I need to know all 13 & 14
The expression below shows the population of squirrels in a forest after 3x years: f(x) = 30(1.03)3x Which of the following is an equivalent function?
What is the prime factorization ?? What is the number and explain ??
Simplify the expression
your grandmother gave you $10 with which to buy a present. this coverd 2/5 of the cost. how much did the present cost?
If there are 3 1/2 pies for 16 people, how many pies will there be for 64 people?
Between 20 and 28 students signed up for the chess club.
The students could not be divided exactly into groups of 2,3,4 or 5. How many
students signed up for the chess club?
Show your work.
The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was $2.90 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
The answer is 2.4%
Step-by-step explanation:
For number 19 I don’t get it, there’s nothing wrong with it(i think) please help me
I don't get this question #3
Answer: 90
Step-by-step explanation: Since there are 10 teams any given team will play all the other 9 teams resulting in 9 x 10 = 90.
Find the negative square root of 49. (4 points)
Select one:
a. ±7
b. 7
c. −7
d. 24.5
The negative square root of 49 is -7.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
2² + 4 i s an expression.
3² + 4³ + 3³ is an expression.
3 + 4 x 5 + 4³ is an expression.
We have,
-√49
7 x 7 = 49
Make an exponent of base 7.
7² = 49
So,
-√49
= -√7²
Square root and exponent 2 get canceled.
= -7
Thus,
The negative square root of 49 is -7.
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you want to buy a bouquet of yellow roses and baby's breath for $16.the baby's breath costs $3.50 per bunch,and the roses cost $2.50 each.you want one bunch of baby's breath and some roses for your bouquet.how many roses can you buy?
After subtracting the cost of one bunch of baby's breath ($3.50) from the total budget ($16), you have $12.50 left for the roses. Since each rose costs $2.50, you can buy 5 roses to complete your bouquet within the budget.
To calculate the number of roses that can be bought, first, we need to subtract the cost of one bunch of baby's breath from the total budget for the bouquet. The cost of one bunch of baby's breath is $3.50. With a total budget of $16, we subtract the cost of baby's breath to see how much is left for the roses:
$16.00 - $3.50 = $12.50
Since each rose costs $2.50, we will divide the remaining budget by the cost of each rose to find out the number of roses that can be purchased:
$12.50 / $2.50 = 5 roses
Therefore, you can buy 5 roses along with one bunch of baby's breath to make up your $16 bouquet.