When rotating a figure in the first quadrant 180 degrees clockwise, the x-coordinates and y-coordinates of the points are negated.
Explanation:When an object in the first quadrant is rotated 180 degrees clockwise, its position is reflected across both the x-axis and y-axis. This means that the x-coordinates are negated and the y-coordinates are also negated.
For example, if a point A is located at (3, 4) in the first quadrant, after rotating it 180 degrees clockwise, it will be reflected across the x-axis and y-axis to the position (-3, -4).
Therefore, all points in the figure will have their coordinates negated when rotated 180 degrees clockwise in the first quadrant.
What is the algebraic expression .Three more then the sum of a number and four ?
a manufacturer keeps track of her monthly costs by using a cost function this assigns a total cost for a given number of manufactured items X the function is C(x)=5,000 + 1.3x
what is the reasonable domain of this function what is the cost of 2,000 items that the cost must be kept below 10,000 this month what is the greatest number of items she can manufacturer need these answers ASAP please help
Answer:
a)Domain is all positive integers.
b)C(2000)=$7600
c) For C(x)<10000, less than 3846 items should be manufactured.
Step-by-step explanation:
Given that cost function is C(x)=5000+1.3x, where x is the number of manufactured items.
a) The domain of C(x) means the range of values x can take. Since x is the number of manufactured items, it cannot be negative and fraction.
Hence domain is all positive integers.
b)To find the cost of 2000 items, we should plugin x=2000 in C(x).
That is cost of 2000 items, C(2000)=5000+1.3(2000)=5000+2600=$7600
c) We are asked to find the number of items such that cost is kept below 10,000 that is C(x)<10000
5000+1.3x<10000
Subtract 5000 from both sides
1.3x<5000
Divide with 1.3 on both sides
[tex]x<\frac{5000}{1.3}[/tex]
x<3846.2
Hence number of items must be less than 3846 for C(x)<10000
Final answer:
The reasonable domain of the cost function is x >= 0. The cost of 2,000 items that must be kept below $10,000 is $7,600. The greatest number of items that can be manufactured with a cost below $10,000 is 3,846 (rounded down).
Explanation:
The reasonable domain of the cost function is x >= 0 since the number of items manufactured cannot be negative. In other words, the function is valid for all non-negative values of x.
To find the cost of 2,000 items that must be kept below $10,000, we substitute x = 2,000 into the cost function:
C(2,000) = 5,000 + 1.3 × 2,000
Simplifying this equation, we get:
C(2,000) = 5,000 + 2,600 = $7,600
To determine the greatest number of items that can be manufactured with a cost below $10,000, we need to solve the inequality:
5,000 + 1.3x < 10,000
Simplifying this inequality, we have:
1.3x < 5,000
Dividing both sides of the inequality by 1.3, we obtain:
x < 3,846.15
The greatest number of items that can be manufactured with a cost below $10,000 is 3,846 (rounded down).
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.
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
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
You are a cook. You just got orders for 2 steaks at table 6, 4 steaks at table 7, and 4 steaks at table 11. How many steaks should you put on the grill?
Correct me if I am wrong.
10 Steaks
2 Steaks for Table 6
4 Steaks for Table 7
4 Steaks for Table 11
2 + 4 + 4 = 10
ya i say 10 as well.
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.
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
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 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 119.63 rounded to the nearest whole number ?
120
bc its grater than four in this case forty
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 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
Mrs. whimsey's class is having a pizza party . If there are 16 student and 4 pizzas cut into 8 slices , what answer choice represents the function of one pizza each student receives
Final answer:
Each student will receive 2 slices of pizza, as there are a total of 32 slices from 4 pizzas divided among 16 students.
Explanation:
To determine the number of pizza slices each student receives, we need to calculate the total number of slices available and then divide this by the number of students. Given that there are 4 pizzas and each pizza is cut into 8 slices, we have:
Multiply the number of pizzas by the number of slices per pizza: 4 pizzas × 8 slices/pizza = 32 slices.
Divide the total number of slices by the number of students: 32 slices ÷ 16 students = 2 slices/student.
Therefore, the function that represents the number of pizza slices each student receives is 2 slices per student.
Lainey bought a set of 20 markers for $6 what is the cost of one market
since you know Lainey has 20 markers and the total cost is $6, all you have to do is solve 20/6 to find the cost of each marker. So, the answer would be about $2.33 dollars, since 20/6 would equal $2.333333333... and I just rounded it up. Hope I helped you! Good luck (:
What do you do if you have a net gain
I’m super confused on number one
The equivalent ratios are calculated as;
1) 16/20
2) 8/12
3) 8/9
4) 9/21
5) 4/5
6) 6/9
How to find the equivalent ratios?Equivalent ratio is a ratio that is equal to another ratio when broken down or when numerator and denominator are multiplied by same number.
1) The ratio is given as 4/5.
If the denominator is 20, then it means the equivalent numerator will be;
(20/5) * 4 = 16.
Equivalent ratio = 16/20
2) The ratio is given as 2/3.
If the denominator is 12, then it means the equivalent numerator will be;
(12/3) * 2 = 8.
Equivalent ratio = 8/12
3) The ratio is given as 24/27
If the denominator is 9, then it means the equivalent numerator will be;
(9/27) * 24 = 8
Equivalent ratio = 8/9
4) The ratio is given as 3/7.
If the numerator is 9, then it means the equivalent denominator will be;
(9/3) * 7 = 21.
Equivalent ratio = 9/21
5) The ratio is given as 8/10.
If the denominator is 5, then it means the equivalent numerator will be;
(5/10) * 8 = 4.
Equivalent ratio = 4/5
6) The ratio is given as 30/45.
If the numerator is 6, then it means the equivalent denominator will be;
(6/30) * 45 = 9.
Equivalent ratio = 6/9
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I need help someone
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
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
Would 3z + 2 = 5 when z is 1 be an expression?
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)
13 million
in scientific notation
A boy is X years old. His sister is twice as old he is. The sum of their age is 27, How old is the boy?
The boy is 9
9x2=18
18+9=27
In this explanation, we'll determine the age of the boy using algebraic equations based on the given information. Let's represent the boy's age as X and his sister's age as 2X.
Let's set up the equations based on the information provided:
1. The boy's age: X years
2. His sister's age: 2X years (twice as old as the boy)
3. The sum of their ages: 27 years
Using these three pieces of information, we can create an equation to find the value of X (the boy's age).
1. The first equation represents the sum of their ages:
X + 2X = 27
2. Simplify the equation by combining like terms:
3X = 27
3. Now, isolate X by dividing both sides of the equation by 3:
X = 27 / 3
4. Calculate X:
X = 9
So, the boy is 9 years old.
Let's represent the boy's age as X and his sister's age as 2X. The sum of their ages is given as 27 years.
1. We can express the sum of their ages in an equation:
X + 2X = 27
2. Combine the like terms on the left side of the equation:
3X = 27
3. To find the value of X, isolate X on one side of the equation. We do this by dividing both sides of the equation by 3:
X = 27 / 3
4. Simplify the expression:
X = 9
Thus, the boy is 9 years old, and his sister is twice as old, which makes her 18 years old (2 * 9 = 18).
The sum of their ages, 9 + 18, indeed equals 27.
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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
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
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:
Write an inequality that represents eight less than three times a number is more than 22
Answer:
3n - 8 > 22
Step-by-step explanation:
Let the number be n. Then "eight less than three times the number" is represented by 3n - 8 > 22.
Answer:
i need help too yall
Step-by-step explanation:
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!!!
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]