To solve this, you represent the the question as:
x + ( x + 1 ) + ( x + 2 ) = 84
Find the difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712
Final answer:
The difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712 is 47.2208.
Explanation:
The difference between the product and the sum can be found by first calculating the product of 26.22 and 3.09 and then calculating the sum of 3.507, 2.08, 11.5, and 16.712. Once both of these values are calculated, subtract the sum from the product to find the difference.
To calculate the product of 26.22 and 3.09, you would multiply these two numbers:
26.22 × 3.09 = 81.0198
To calculate the sum of 3.507, 2.08, 11.5, and 16.712, you would add these numbers together:
3.507 + 2.08 + 11.5 + 16.712 = 33.799
Finally, to find the difference, subtract the sum from the product:
81.0198 - 33.799 = 47.2208
The difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712 is 47.2208.
80 girls and boys have planned for a movie. They are in a ratio of 6 girls to 2 boys . How many girls are there?
One leg of a right isosceles triangle is 8 feet. What is the area of the triangle?
Step-by-step explanation:
a little late on this answer
The area of a right isosceles triangle with legs each measuring 8 feet is calculated using the formula A = (base x height) / 2, resulting in an area of 32 square feet.
The question you've asked is about finding the area of a right isosceles triangle when one leg is known. In a right isosceles triangle, both legs are of equal length. Since one leg is given as 8 feet, the other leg is also 8 feet. The formula for the area of a right triangle is A = (base x height) / 2.
In this case, the base and height are the same, which are the lengths of the legs of the triangle, so the formula becomes A = (8 feet x 8 feet) / 2. Performing the calculation, we find that A = 64 feet2 / 2, which simplifies to A = 32 feet2. Therefore, the area of the triangle is 32 square feet.
The polynomial function f(x) = 5x5 + 3x – 3 is graphed below.
Which statement best describes the root of f(x) at point P?
A)The root at point P may be 3/5.
B)The root at point P may be 1/5.
C)The root at point P may be 5/3.
D)The root at point P may be 1/3.
1/2and 1 two fractions with a sum
a family of 4 spend $104 for tickets to a concert all of the tickets were the same price what was the cost of each ticket?
The Rodriquez family drove 115 miles on 5 gallons of gasoline. Which equation can be used to find how far they can travel on a full 18 gallon tank of gasoline?
Write an expression with four terms. Include at least one term with an exponent, one term with a coefficient of 5, one term with three factors, and one constant. Make two of the terms like terms.
An expression satisfying all the conditions specified is [tex]5x^2 + 5xy + 3xy + 7[/tex]
Here's an expression with four terms that meets all the requirements :
[tex]5x^2 + 5xy + 3xy + 7[/tex]
1. Term with an exponent: [tex]\( 5x^2 \)[/tex] (The exponent is 2)
2. Term with a coefficient of 5: [tex]\( 5xy \)[/tex]
3. Term with three factors: [tex]5xy[/tex] (The factors are 5, x, and y)
4. Constant term: 7
Like terms:[tex]\( 5xy \)\ and\ \( 3xy \)[/tex]
So the expression [tex]\( 5x^2 + 5xy + 3xy + 7 \)[/tex] includes all the specified requirements.
an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle at the rate of 2 seats in 11 minutes. Write a proportion relating the number of seats s to the number of minutes m. At this rate, how long will it take to add 16 seats? 19 seats?
8,543.191
The 1 in the tenths place is blank the value of the 1 in the thousands place.
graph the following linear equation using slope-intercept form. y=2x+1
A toy company makes wooden blocks. A carton holds 85 blocks. How many blocks can hold 19 cartons hold
1/8, 0.35,0.2 in order from least to greatest
Buying a new car is usually the second most expensive purchase many consumers make, after the purchase of their home. True or False
Does a cell phone weigh 113 grams or kilograms
write a related subtraction fact for 7 + 3 = 10
Please Help!!!!!
Is the square root of 2 over 8 rational or irrational?
a box of chalk contains 10 pieces. how many pieces of chalk are in 40 boxes
how to solve 5 hours to 720 minutes
To convert hours to minutes, multiply the number of hours by 60. When adding or subtracting time, work with like units first and simplify when needed. For conversion, it's also helpful to understand that 60 minutes equals 1 hour for fractional time units.
Explanation:Converting units of time such as hours to minutes involves understanding the relationship between these units. In this case, the conversion factor between hours and minutes is that 1 hour is equivalent to 60 minutes.
Therefore, to convert hours into minutes, you would multiply the number of hours by 60.
Here's an example on how to convert 5 hours to minutes:
5 hours = 5 × 60 minutes = 300 minutes.
In this context, let's look at a smaller unit to larger unit conversion example:
120 seconds = 120 ÷ 60 = 2 minutes. Dividing the number of seconds by 60 converts seconds to minutes.
Now, let's consider another example by converting a larger unit to a smaller unit:
4 hours = 4 × 60 minutes = 240 minutes. Multiplying the number of hours by 60 converts hours to minutes.
Adding measures of time involves combining like units first, as in the example of adding 1 hour 55 minutes to 45 minutes, resulting in 1 hour 100 minutes. This can be simplified by recognizing that 60 minutes is equivalent to 1 hour, resulting in a total of 2 hours.
Subtraction of time units might require 'borrowing' from a larger unit, such as borrowing 60 minutes from an hour, to facilitate the subtraction process.
Hence, for 5 hours 10 minutes minus 30 minutes, we adjust it to 4 hours 70 minutes and then subtract, resulting in 4 hours 40 minutes.
Simplify. 14+{−2+3[1+3(−6−2)]} Enter your answer in the box. pls help
well first do -6-2 which is -8 so next you would multiply -8 and 3 which is -24 then add 1 that makes it -23 then multiply that by 3 then you get -2+(-69) which is -71 so then you add -71 and 14 then you get -57 hope this helped :3
Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?
The graph of g(x) is the graph of f(x) translated 2 units left.
The graph of g(x) is the graph of f(x) translated 2 units up.
The graph of g(x) is the graph of f(x) translated 2 units down.
The graph of g(x) is the graph of f(x) translated 2 units right.
we have that
[tex]f(x)\\g(x)=f(x+2)[/tex]
we know that
the rule of the translation of f(x) to g(x) is equal to
[tex](x,y)----> (x-2,y)[/tex]
that means
the graph of g(x) is the graph of f(x) translated [tex]2[/tex] units left
therefore
the answer is the option
the graph of g(x) is the graph of f(x) translated [tex]2[/tex] units left
T-1
—— = 12. What is t
2
7+a
-4= ——. What is a
5
Need help what is the answer and what is the equation
The sum of two consecutive integers is at least negative fifteen. What are the smallest values of consecutive integers that will make this true?
Answer:
x+1 is greater than or equal to -7
Step-by-step explanation:
x is the first integer and x+1 is the next (consecutive) integer.
At least stands for greater than or equal to
x+x+1 is greater than or equal to -15
Subtract 1 from each side
2x is greater than or equal to -16
x is greater than or equal to -8
This means
x+1 is greater than or equal to -7
The smallest values of the integers are: x+1 ≥ -7
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.
let the consecutive integers are x and x+1.
So,
x+ (X+ 1)= -15
2x + 1 =-15
2x= -16
x= -8
Hence, x+1 ≥ -7
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Identify the terms in the expression 8x + 6 + 2xy + z
There are four terms because they are separated by addition or subtraction symbols: 8x, 6, 2xy, and z.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is,
8x + 6 + 2xy + z
The representation of number patterns can be done using algebraic expressions. If we know the values of each variable in an algebraic expression, we can find the value of the expression.
When one or more quantities in the real world are unknown or have a variable value, you can describe the situation using a variable expression.
In order to create a variable expression for a situation in reality: Establish a variable to represent the quantity that is unknown in the situation by identifying the unknown quantity.
Thus, there are four terms because they are separated by addition or subtraction symbols: 8x, 6, 2xy, and z.
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Final answer:
The expression 8x + 6 + 2xy + z is made up of four terms: 8x, 6, 2xy, and z.
Explanation:
The expression 8x + 6 + 2xy + z consists of four separate terms. In algebra, terms are the parts of an expression separated by addition or subtraction signs. The terms in this expression are as follows:
8x - This term has a coefficient of 8 and a variable x.6 - This is a constant term because it does not contain any variables.2xy - This term contains two variables, x and y, with a coefficient of 2.z - This is a term with the variable z and an implied coefficient of 1.
Identifying terms is essential for simplifying expressions and performing operations such as addition and subtraction of like terms in algebra.
A cold wave hit Chicago when the temperature hits 62°F during the cold wave the temperature dropped 2° every hour how many hours was it before the temperature was below 40°F
For this problem, an important thing to note is how the question says that 'the temperature dropped', meaning that it went down.
This means that the 2 degrees is actually negative.
Then you multiply the change in degrees by hours past:
(−2)×6=−12
Final Answer:
−12∘F
Kayla has $500 in her account, and she spends $40 a week on food. If she falls below $30 in her account, she must pay a penalty. What is an inequality that can represent this situation?
Final answer:
The inequality that represents this situation is: 500 - 40w < 30, where w represents the number of weeks that have passed.
Explanation:
The situation can be represented by the inequality:
500 - 40w < 30
where w represents the number of weeks that have passed.
This inequality states that the amount of money remaining in Kayla's account (500 - 40w) must be less than $30 for her to have to pay a penalty. If Kayla's account falls below $30, she would have to pay a penalty because she does not have enough money to cover her regular expenses.
For example, if we substitute w = 10 into the inequality, we get 500 - (40 × 10) < 30, which simplifies to 100 < 30. Since 100 is not less than 30, Kayla would not have to pay a penalty.
A band to played 3 concerts and earned about a total of $321.00.the band earned about the same amount for each concert estimate how much the band and each night.
Write the number equal to 2 tens 15 ones
The number that will be equal to 2 tens 15 ones is 35.
How to identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on. The tens mean multiplied by 10. The tenth means the tenth part of that digit which is that digit divided by 10
We are given multiple number names and asked to add them.
We will call d as ones digit, c as tens digit (it get multiplied by 10), b as hundreds digit etc.
We call e as digit at 10th place (division by 10), f as digit at hundredth place and so on.
To find this problem, it will be easier to split the sentences into multiple parts like this;
1. "2 tens" mean 2 x 10 =20
2. "15 ones" mean 15 x 1= 15
Then, if we add them up it will be;
20+15= 35
The answer to this problem would be 35
Therefore, the number that will be equal to 2 tens 15 ones is 35.
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Find sum or difference.
5/10 - 3/10
A. 1/5
B. 8/10
C. 42/5
D. 1/10