So we have 2 3/4 tons.
2 tons = 4000 pounds.
3/4 = 75%
We know that 50% (or half) of 2000 is 1000.
Since we have 75%, we can take another half of 1000 and add that to our 1000.
1000/2 = 500
1000 + 500 = 1500
2 and 3/4 tons is equal to 5500 tons.
Answer:
answer is drumroll pleaseeeeeeeeeeeeee ok ok sorry the answer is A: 4075
Step-by-step explanation:
A manufacturing company has the following fixed monthly costs and unit variable costs: Rent = $2,200 Utilities = $375 Variable costs for materials and assembly = $13.25/unit Monthly labor = $750 If its product sells for $24.99 per unit, how many units must it sell in a month to break even? Round your answer to the nearest whole number.
A manufacturing company has the following fixed monthly costs and unit variable costs:
Rent = $2,200
Utilities = $375
Variable costs for materials and assembly = $13.25/unit
Monthly labor = $750
Given is the product is sold at $24.99 per unit
Let the number of units sold be x
Adding total cost = [tex]2200+375+750=3325[/tex]
Equation becomes:
[tex]3325+13.25x=24.99x[/tex]
[tex]11.74x=3325[/tex]
x= 283.21
So, rounding it to nearest whole number we get, 283 units.
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
the table shows a power of exponents.
powers of 5 value
5^3 125
5^2 25
5^1 5
5^0 1
5^-1 1/5
5^-2 1/25
A. subtract 5 from the previous value
B. subtract 100 from the previous value
C. divide the previous value by 5
D. divide the previous value by 25
Answer:
c
Step-by-step explanation:
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.
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
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.
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
I need help someone
What is the algebraic expression .Three more then the sum of a number and four ?
What do you do if you have a net gain
What is 495/220 in simplest form
495/220 can be simplified to 9/4 by dividing the numerator and denominator by 55
the answer to what is 495/220 in simplest form is 9/4
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
The clean up hitter on a baseball tean batted 1/4 of the runs the team scored. The hitter batted in 5 runs. Select the equation that represents the number of n of runs the team scored. Then solve the equation:
A.1/4n=5
B.n/4=1/4
C.5n=1/4
D.5n=4
Answer:
A. [tex]\frac{1}{4}n=5[/tex]
The solution is: n=20
Step-by-step explanation:
1. You have the following information given in the problem above:
- The hitter batted [tex]\frac{1}{4}[/tex] of the runs the team scored.
- The hitter batted in 5 runs.
2. If [tex]n[/tex] is the number of run the team scored, then [tex]\frac{1}{4}[/tex] of [tex]n[/tex] must be equal to five runs batted by the hitter. Therefore, the equation is:
[tex]\frac{1}{4}n=5[/tex]
3. Solve for [tex]n[/tex], as following:
[tex]\frac{1}{4}n=5\\n=(5)(4)\\n=20[/tex]
Tara bought 4 souvenirs during 2 days of vacation. After 8 days of vacation, how many total souvenirs will Tara have bought? Solve using unit rates
What is 119.63 rounded to the nearest whole number ?
120
bc its grater than four in this case forty
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
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.
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.
How can you split 112 so you can divide it by seven
well, 112 divided by 7 is 16 :)
you dont need to split it because 112 can already be divided by 7, youre answer sould be 16. I hope this helps!!!
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:
How do you factor this?
Step 1. Split the second term in 2x^2 - x - 21 into two terms
2x^2 + 6x - 7x - 21
Step 2. Factor out the common terms in the first two terms, then in the last two terms.
2x(x + 3) -7(x + 3)
Step 3. Factor out the common term x + 3
(x + 3)(2x - 7)
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.
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
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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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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13 million
in scientific notation
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
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?]
How many 1/3 can go into 8/10
Answer:
2/3
Step-by-step explanation:
8/10 is 0.800, and 1/3 is 0.333333333337, so without going over 1 but saying below 0.800 would be 2/3 or 0.66666666667
1/3= 0.333
8/10=0.8
so 2 1/3 can go into 8/10
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'.