14 miles in all which is pretty fast
Write the expression -3x ^2 + 2y ^2 + 5xy - 2y + 5x ^2 - 3y ^2 in simplest form.
How many terms are in the simplified expression?
How many of the terms in the simplified expression are negative?
[tex]-3x^2+2y^2+5xy-2y+5x^2-3y^2[/tex]
Combine like terms:
[tex]2x^2-y^2+5xy-2y\\2x^2-y^2-2y+5xy[/tex]
There are 4 terms, 2 terms are negative.
A book club charges a membership fee of $20 and then $12 for each book purchased. Write a function to represent the change, y, of membership in the club based on the number of books purchased, x.
What is 119.63 rounded to the nearest whole number ?
120
bc its grater than four in this case forty
15 divided into 6396 show the steps on how to solve I know the answer is 42 just don’t know the step to put in order
Therefore, 6396/15 = 426.5
Which of the following statements is always true for all values of a
A) -a = a
B) |a| = -a
C) |a| = a
D) -(-a) = a
D) -(-a) = a because -(-a) is the same thing as positive a
What is X-3(2x-7)=76
Simplifying
x + -3(2x + -7) = 76
Reorder the terms:
x + -3(-7 + 2x) = 76
x + (-7 * -3 + 2x * -3) = 76
x + (21 + -6x) = 76
Reorder the terms:
21 + x + -6x = 76
Combine like terms: x + -6x = -5x
21 + -5x = 76
Solving
21 + -5x = 76
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + -5x = 76 + -21
Combine like terms: 21 + -21 = 0
0 + -5x = 76 + -21
-5x = 76 + -21
Combine like terms: 76 + -21 = 55
-5x = 55
Divide each side by '-5'.
x = -11
Simplifying
x = -11
The solution of expression is, x = - 11
We have to give that,
An expression to simplify,
x - 3 (2x - 7) = 76
Now, Simplify the expression as,
x - 3 (2x - 7) = 76
x - 6x + 21 = 76
- 5x = 76 - 21
- 5x = 55
x = - 55/5
x = - 11
Therefore, Solution is, x = - 11
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what is 965,000,000,000,000 in scientific notation
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9.
So, if we are dealing with 965000000000000, then the answer would be:
9.65 x 10^14
13 million
in scientific notation
HELP PLEASE If L is the line through the point (-3,5) having a slope of 2/3 . Complete the equation of L
Y =
A.(2/3)x + 7
B. (2/3)x + (47/9)
C. (2/3)x - (1/3)
aND explain briefly pls
point slope form (y-y1) = m(x-x1)
y-5=(2/3)(x-(-3))
y-5=(2/3)(x+3) add 5 to each side and distribute
y= 2/3x +2/3 *3 +5
y = (2/3)x +2 +5
y = (2/3) + 7
What do you do if you have a net gain
convert 9% into a decimal
0.09
Here is how yah do it
The easiest approach is to multiply a number in decimal format by 100. Move the decimal: Another way to convert from decimal to percentage format is to move the decimal two places to the right.
If im correct mark brainliest
Answer: 0.09
Step-by-step explanation: We can change a percent to a decimal by simply moving the decimal point two places to the left. In this example, we would simply move the decimal point two places to the left and we would fill in the missing position with a zero. Now, we can write 9% as 0.9 or 0.09. A common mistake that many people will make is writing 0.9 but you have to move the decimal two places to the left.
X-6y+2z=5
2x-3y+z=4
3x+4y-z=-2
Solve the system by elimination
Final answer:
To solve the system of equations using elimination, we need to eliminate one variable at a time by adding or subtracting the equations. The solution to the system of equations is x = 1, y = 2, z = 3.
Explanation:
To solve the system of equations using elimination, we need to eliminate one variable at a time by adding or subtracting the equations. Here are the steps:
Multiply the first equation by 2 and the second equation by 3 to make the coefficients of x in both equations the same.Subtract the second equation from the first equation to eliminate x.Add the resulting equation to the third equation to eliminate x again.Now we have two equations with only y and z variables. Multiply the second equation by -2 to make the coefficients of y in both equations the same.Add the second equation to the third equation to eliminate y.Now we have a equation with only z variable. Solve this equation to find the value of z.Substitute the value of z into one of the previously eliminated equations to find the value of y.Substitute the values of y and z into any of the original equations to find the value of x.Therefore, the solution to the system of equations is x = 1, y = 2, z = 3.
To solve the given system of equations by elimination, eliminate one variable at a time. Solve the new set of equations simultaneously to find the values of the remaining variables.
Explanation:To solve the given system of equations by elimination, we'll eliminate one variable at a time. First, let's eliminate the variable 'z' by adding the second equation to the third equation. This gives us a new third equation:
2x - 3y + z = 4
+ 3x + 4y - z = -2
------------------
5x + y = 2
Now, let's eliminate the variable 'y' by multiplying the second equation by -6 and adding it to the first equation. This gives us a new first equation:
X - 6y + 2z = 5
- 6(2x - 3y + z) = -6(4)
------------------------
-11x - 11z = -19
Finally, we can solve these two new equations simultaneously to find the values of 'x' and 'z'. Once we have 'x' and 'z', we can substitute these values back into any of the original equations to find the value of 'y'.
A stereo system cost $275. It was on sale for 15% off. The sales person receives a 2% commission how much of a commission. do they receive?
If the salesperson receives a 2% commision on the sale price (which I am assuming) first you want to calculate the sale price.
Total price - 15% * total price
so
275 - (.15*275)
233.75 is the sale price.
Then take two percent of that
233.75 * .02 = $4.675
They make $4.68 (If rounded to the nearest cent.)
To find the commission received by the sales person, calculate the discounted price of the stereo system and then multiply it by the commission rate.
Explanation:To find the commission received by the sales person, we first need to calculate the total cost of the stereo system after the discount. The discount is 15% of $275, which is calculated as:
$275 × 0.15 = $41.25
So the discounted price of the stereo system is $275 - $41.25 = $233.75.
Now, we can calculate the commission received by the sales person. The commission is 2% of the total cost, which is:
$233.75 × 0.02 = $4.675
The sales person will receive a commission of $4.675.
x2y - 2xy - 24y = y(x2 - 2x - 24) What is the completely factored form of x2y – 2xy – 24y? (xy + 4)(x – 6) xy(x + 4)(x – 6) y(x + 4)(x – 6) y(x + 4)(xy – 6)
The required factorized form of the given expression is y(x - 6)(x + 4), where y is the greatest common factor (GCF).
What is the Factorization?
Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
We have been given that the expression below as
x²y - 2xy - 24y
We have to determine the factor of the expression 50x + 100
First, we have to find the Greatest Common Factor (GCF).
GCF = y
y Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
y(x² - 2x - 24)
Simplify each term in parentheses.
y(x² - 2x - 4x - 24)
y(x - 6)(x + 4)
Therefore, the required factorized form of the given expression is y(x² - y(x - 6)(x + 4)
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The completely factored form of x²y - 2xy - 24y is y(x + 4)(x - 6).
Explanation:The completely factored form of x²y - 2xy - 24y is y(x + 4)(x - 6).
To factor the given expression, we can factor out the common term 'y' from all three terms: y(x² - 2x - 24). Then, we factor the quadratic expression inside the parentheses: (x + 4)(x - 6). Combining these factors, we get y(x + 4)(x - 6), which is the completely factored form of the given expression.
El área de un triángulo es de 36 pies cuadrados y la base mide 9 pies. ¿Cuál es la altura del triángulo en pulgadas?
The height of the triangle will be 8 ft.
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is the area of a triangle is 36 square feet and the base is 9 feet. .
We can write the area of a triangle as -
A (Δ) = (1/2) x b x h
36 = 4.5 x h
h = 36/4.5
h = 8 ft
Therefore, the height of the triangle will be 8 ft.
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[Question in english -
The area of a triangle is 36 square feet and the base is 9 feet. What is the height of the triangle in inches?]
a store having a sell where everything 30 percent. off find the discount and the sale price if a comustor buys an item for 365$
The item is $365 and is 30% off.
What we need to do first is find 30% of $365. We can do this by multiplying
$365 x 0.3 = $109.5
The discount is $109.5
but what we need to pay is $365 - $109.5 = $255.5
The Sale price is $225. 5
GOOD LUCK :)
Create four equations using 9, 54 and 6 fact families
These would be 2 of the 4 equations, because 6 times 9 equals 54 and 9 times 6 equals 54, but are written in a different way. Thus meaning they are 2 of the 4 equations.
54/6 = 954/9 = 6These 2 would be the final to, because 54 divided by 6 is 9, and 54 divided by 9 is 6. Thus meaning they are the final 2 equations.
I hope this helps!
A display has 6 packs of marbles with a total mass of 629g. The packaging of each pack has a mass of 2/3 g and each marble has a mass of 4 1/2 g.
Which equation can we use to determine m, the number of marbles per pack?
A 6*4 1/2 m+ 2/3=629
B 6 m(4 1/2+ 2/3)=629
C 6 m+4 1/2+ 2/3=629
D 6(4 1/2 m + 2/3)=629
PLZ HELP 25 POINTS
Answer:
D
Step-by-step explanation:
answer was done on khan academy
The equation that can we use to determine m, the number of marbles per pack is 6(4 1/2 m + 2/3)=629.
The correct answer choice is option D.
Which equation can we use to determine m, the number of marbles per pack?Number of packs = 6
Total mass of 6 packs = 629g
Mass of each pack = 2/3 g
Mass of each marble = 4½g
Number of marbles per pack = m
Total mass of 6 packs = Number of packs(Mass of each pack) + Number of packs(Mass of each marble × Number of marbles per pack)
629 = 6(2/3) + 6(4½m)
629 = 6(2/3 + 4½m)
Hence, 6(4 1/2 m + 2/3)=629 is the equation to determine the number of marbles per pack?
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Find the equation of the line that is parallel y=3x-2 and contains the point (2,11).
The equation of the line parallel to y=3x-2 and containing the point (2,11) is y=3x+5.
Explanation:The equation of a line that is parallel to y=3x-2 will have the same slope as this line. Since the slope of the given line is 3, the parallel line will also have a slope of 3. The equation of a line can be represented in the form y=mx+b, where m is the slope and b is the y-intercept. We can find the equation of the parallel line by substituting the given point (2,11) into the equation.
Start with the equation y=3x+b and substitute x=2 and y=11.
11=3(2)+b
Now solve for b.
11=6+b
b=11-6
b=5
The equation of the parallel line is therefore y=3x+5.
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Corey earned $50 painting his neighbors garage and then he spent $15 of it on a new hat.What percent of his earnings did corey spend?
15 is 30% percent of 50, so Corey spent 30% of his earnings.
Final answer:
Corey spent 30% of his earnings on the new hat, calculated by dividing the amount spent by the total earnings and then multiplying by 100.
Explanation:
To calculate the percentage of earnings Corey spent on the hat, we should find out what portion of his total earnings ($50) was spent ($15).
We can use the formula for percentage: Percentage Spent = (Amount Spent / Total Earnings) × 100.
So, let's plug in the numbers:
Percentage Spent = ($15 / $50) × 100
= 0.3 × 100 = 30%.
Therefore, Corey spent 30% of his earnings on the new hat.
a pole 24 feet high has a shadow 8 feet long.a nearby pole is 72 feet high. how long is it's shadow?
Final answer:
The 72 feet high pole has a shadow that is 24 feet long, as determined by using proportional relationships between the heights and shadows of two similar triangular shapes formed by the poles and their shadows.
Explanation:
Given the first pole that is 24 feet high has a shadow that is 8 feet long, we can determine the ratio of the height to the shadow length. Since similar triangles have proportional sides, we can apply the same ratio to the second pole that is 72 feet high to find the length of its shadow.
Setting up the proportion, we have:
24 feet (height of first pole) / 8 feet (shadow of first pole) = 72 feet (height of second pole) / x (shadow of second pole).
To solve for x, we cross multiply to get
24 * x = 72 * 8.
Dividing both sides by 24, we get x = 24 feet.
Hence, the shadow of the 72 feet high pole is 24 feet long.
Divide (5.6 x 1015) by (6.4 x 102). Express your answer in scientific notation.
A) .875 x 1017
B) .875 x 1013
C) 8.75 x 1012
D) 8.75 x 1013
5.6 * 10^ 15 / 6.4 * 10^2
5.6 /6.4 10^ (15-2)
.875 * 10^13 this is not proper scientific notation there must be 1 number before the decimal
8.75 * 10^12
C
Answer:
Step-by-step explanation:
THE ANSWER IS C. I DID IT
Shrina is selling cookie dogh for her soccer team. She sold 2 tubs of oatmeal raisin and 2 tubs of peanut butter. How much money did she make
Oatmeal - $6
Peanut butter - $5
$6 x 2 = $12
$5 x 2 = $10
$12 + $10 = $22
So Shrina made $22 selling cookie dough.
Hope this Helps!!
To accurately calculate the total amount of money Shrina made from selling the cookie dough, we need to know the price per tub for each type of cookie dough, which are oatmeal raisin and peanut butter.
This information is crucial to compute the answer. Hence, without the prices of the oatmeal raisin and peanut butter tubs, it is impossible to determine how much money Shrina made.
Generally, the calculation would look like this:
The total money earned from selling oatmeal raisin tubs would be the quantity of oatmeal raisin tubs sold multiplied by its price per tub. The same calculation would apply to the peanut butter tubs.
Assuming `oatmeal_raisin_price` and `peanut_butter_price` to be the price per tub of oatmeal raisin and peanut butter respectively, and the quantity sold be represented by `oatmeal_raisin_qty` and `peanut_butter_qty`, the total money made, `money_made` would be:
money_made = (oatmeal_raisin_price * oatmeal_raisin_qty) + (peanut_butter_price * peanut_butter_qty)
The above formula would give us the total amount Shrina made from selling the cookie dough. But without the price of each tub, we can't proceed with the calculation.
I need help someone
16=-12-7x
what is x
please show steps
Answer:
Step-by-step explanation:
Simplifying
16 = -12 + -7x
Solving
16 = -12 + -7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7x' to each side of the equation.
16 + 7x = -12 + -7x + 7x
Combine like terms: -7x + 7x = 0
16 + 7x = -12 + 0
16 + 7x = -12
Add '-16' to each side of the equation.
16 + -16 + 7x = -12 + -16
Combine like terms: 16 + -16 = 0
0 + 7x = -12 + -16
7x = -12 + -16
Combine like terms: -12 + -16 = -28
7x = -28
Divide each side by '7'.
x = -4
Simplifying
x = -4
Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of fat?
Answer:
40
Step-by-step explanation:
Got it on edge
What is the algebraic expression .Three more then the sum of a number and four ?
A local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers on Saturday. There were 54 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
To find the number of hamburgers sold on Saturday, we can set up an equation and solve for the variable.
Explanation:Let's represent the number of hamburgers sold as 'x'. We are given that the combined total of hamburgers and cheeseburgers sold is 444, and there were 54 fewer cheeseburgers sold than hamburgers. So, the number of cheeseburgers sold can be represented as 'x - 54'.
The sum of the hamburgers and cheeseburgers sold is 444, so we can write the equation: x + (x - 54) = 444.
Simplifying the equation, we get: 2x - 54 = 444.
Adding 54 to both sides of the equation, we get: 2x = 498.
Dividing both sides of the equation by 2, we get: x = 249.
Therefore, 249 hamburgers were sold on Saturday.
pls help me pls i beg u pls help me
I believe the answer is b
Answer:
i think its B but im not 100%
Step-by-step explanation:
24/22 = x/77
What is x?
Answer:
The answer is x=84
Step-by-step explanation:
Step 1 X/77
Equation at the end of step 1 24/22 - x/77= 0
Step 2 Simplify 12/11
Equation at the end of step 2 12/11 - x/77 =0
Find lest common multiple left denomaintor is 11 and Right is 77
Now its 12*7-(x)/77= 84-x/77
84-x/77 *77= 0 * 77
subtract 84 from both sides -x=84 multiply both sides of the equation by (-1): x =84
So your answer is 84
24 : 22 = x : 77
x = 24 * 77 : 22
x = 84
-------------------------
24 : 22 = 1,090909090909091
84 : 77 = 1,090909090909091
the answer is good