Nic bought 12 pens for 2$ each and 12 pads of paper for 3$ each. Write two expressions for how Nic could calculate his total. Write one expression in expanded form and one in factored form.
Find 3 consecutive integers such that the sum of the 2 largest integers is equal to 14 more than the smallest
if bananas are 0.59 per pound. what is the constant of proportionality
At a discount furniture store, chris offered a salesperson $600 for a couch and a chair that offer includes the 8% sales tax if the salessperson accepts the offer what would would be the price of the furniture to the nearest dollar before tax
600/ 1.08 = 555.56
round to nearest dollar = $556 before tax
If f(x) = −5x + 11 and f(n) = 21, what is the value of n?
on the highway Anita drove an average speed of 60.2 miles per hour at that speed about how far can she travel in three and a half hours at the same speed about how many hours will it take if needed to drive 400 miles
I am an odd number, I am less than 100, the sum of my digits is 12, I am a multiple of 15. What number am I
The number is 75, which satisfies all given conditions: it is an odd number, less than 100, a multiple of 15, and the sum of its digits is 12.
Explanation:To find an odd number that is a multiple of 15, less than 100, and has a sum of digits that equals 12, we must first consider that multiples of 15 end with a 5 or 0. Since the number is odd, it must end with a 5. Additionally, the number must be less than 100, so we are looking for a two-digit number.
We know the sum of the digits is 12, and since the last digit is 5, the first digit must be 7 to reach a sum of 12 (7+5=12). This means the number we are looking for is 75, which is indeed a multiple of 15, less than 100, has a sum of digits equal to 12, and is an odd number.
Joseph says that in the number 9,999,999,all the digits have the same value?Is Joseph correct? explain
Joseph is not correct.
What is place value?- Any number formed from some digits, each digit has a place value.
- For example : 1,234 this number formed from 4 digits
The place value of 4 is ones ⇒ 5
The place value of 3 is tens ⇒ 40
The place value of 2 is hundreds ⇒ 300
The place value of 1 is thousands ⇒ 2,000
1,234= 1,000 + 200 + 30 + 4
Now the given number is 9,999,999
Now the place value of each digit is given as,
∵ The number formed from 7 digits
- The place value of the leftmost digit is millions
- The place value of the digit before the million is hundred thousands
- The place value of the digit before the hundred thousands is
ten thousands
- The place value of the digit before the ten thousands is thousands
- The place value of the digit before thousands is hundreds
- The place value of the digit before hundreds is tens
- The place value of the digit before tens is ones
∴ 9,999,999 = 9,000,000 + 900,000 + 90,000 + 9,000 + 900
+ 90 + 9
∴ Each digit from the leftmost digit is ten times the digit before it
Hence, Joseph is not correct.
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Find the equation of a line that is parallel to the line x= -14 and contains the point (-4,2)
The equation of the line that is parallel to x = -14 and passes through the point (-4, 2) is x = -4.
Explanation:The line x = -14 is a vertical line. Any other line parallel to it would also be a vertical line. The equation of a vertical line in the 2-dimensional coordinate space takes the form x = k, where k is a constant. To find the equation of a line that is parallel to x = -14 and passes through the point (-4, 2), we just need to substitute the x-coordinate of the point into the equation, resulting in x = -4.
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An outlier always affects the mean.true or false
Describe how to model -3x + 7= 28 with algebra tiles
Liz earns a salary of $2100 per month, plus a commission of 5% of her sales. Se wants to earn at least $2400 this month. Write an inequality to find amounts of sales that will meet her goal. Identify what your variable represents.
What is the simplified fraction form of -1/4 x (-6/11)
What process do you use to find the percent change of a quantity?
Answer:
You used multiplication.
Step-by-step explanation:
A submarine is at 89 feet below the surface of the ocean. If it descends another 42 feet, what will be it’s position in relation to the surface?
add the 2 numbers:
89 + 42 = 131 feet below the surface,
which can also be written as -131 feet
(1.0395)(10)^9 in standard notation
which expression is equivalent to the expression shown? exponent: 3 -3
a. -27 b.27 c. -1/27 d. 1/27
Describe the solutions of 4 + n > −2 in words.
The value of n is a number less than −6.
The value of n is a number greater than or equal to −7.
The value of n is a number equal to −7.
The value of n is a number greater than −6.
The solution to the inequality 4 + n > -2 is n > -6. This means the value of n can be any number that is greater than -6.
Explanation:The inequality 4 + n > -2 can be solved to find the solution for 'n.' Start by subtracting 4 from each side of the inequality to isolate 'n.'
Here's the step-by-step calculation: 4 + n > -2 becomes n > -6 when we subtract 4 from both sides.
So, the value of n is any number that is greater than -6. In other words, n can be just a little bit more than -6, -6.01 for example, or it can be a much larger number, like 1, 100, or 1000, etc.
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A carpenter uses 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases.
The distance between bills house and his aunts house is 485 miles about how many miles would bill drive if he made 4 round trips from his house to his aunts house
Answer:
3880 miles
Step-by-step explanation:
Distance between Bill's house and his Aunt house = 485 miles
Distance traveled in one round trip = two times the distance between the Bill's house and his Aunt house
Distance traveled in one round trip = 2 x 485 = 970 miles
So, the distance traveled in 4 round trip = 4 x 970 = 3880 miles.
Thus, the distance traveled by teh bill in 4 round trips is 3880 miles.
Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7).
Answer:
[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]
Step-by-step explanation:
Given two points C(-2,4) and D(3, 7)
we have to find the value of x-coordinate for the point that splits segment CD in half.
By mid-point formula,
The coordinate of mid-point of line segment joining the points (a,b) and (c,d) are [tex](\frac{a+c}{2}, \frac{b+d}{2})[/tex]
Coordinates of mid-point joining the points C(-2,4) and D(3, 7)
[tex](\frac{-2+3}{2},\frac{4+7}{2})[/tex]
[tex](\frac{1}{2},\frac{11}{2})[/tex]
[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]
what is to 20 ≥ 4/5w
The inequality 20 ≥ (4/5)w represents a comparison between a number and a variable multiplied by a fraction. To solve it, you isolate the variable. The solution is w <=25.
Explanation:The inequality 20 ≥ (4/5)w represents a mathematical statement comparing a number, 20, with a variable, w, multiplied by a fraction, 4/5. The inequality sign, ≥, indicates that 20 is greater than or equal to the result of the multiplication. To solve this inequality, you need to isolate the variable on one side of the inequality sign.
To get rid of the fraction, multiply both sides of the inequality by the reciprocal of 4/5 which is 5/4. This gives you (5/4) * 20 ≥ (5/4) * (4/5)w which simplifies to 25 ≥ w.
Therefore, the solution to the inequality is w <=25.
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(-20)-4.6n=-2.3n+16.8
SHOW YOUR WORK
How can 36/6 be expressed as a decimal?
Factorise x^(2) + 8x +7
the population of foxville was about 12 times 10 to the third power of people which is another way to write this number
The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when the width y is 11 units
Sally did some counting look at her work explain why you think sally counted this way 177,178,179,180,190,200,220,211,212,213,214
Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
the sales tax on a piece of furniture that cost 450 dollars was 28.13 dollars what was the percent tax sales