What are the domain and the range of this function?
You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.
Total slices required for children,
[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .
Total slices required for adults,
[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]
So, total slices required are, 20 + 80 = 100 .
Number of pizza, n = 100/8 = 12.5
So, he has to order 13 pizza cause pizza cannot be purchased in fraction.
Total price, P = 13 × 9 = $117 .
Hence, this is the required solution.
evaluate (73)^2 using the identity (a+b)^2=a2+2ab+b^2
73^2 = 5329
There's no identity that can be used.
PLS GIVE BRAINLIEST
Please help me answer 16 please
Answer:
SSS
Step-by-step explanation:
I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.
where is plymoth rock
Answer:
If u mean plymouth rock then the answer is
Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.
Step-by-step explanation:
A pure green beetle is crossed with a pure brown beetle. All of the offspring are green. Which explanation below, correctly explains this phenomenon?
A.Green and brown are equally expressed so they are both dominant.
B.Green is more common than brown so more green genes are passed on.
C.The gene for green color is dominant over the gene for brown color.
D.The gene for brown color is dominant over the gene for green color.
Answer:
C.
The green color gene is more dominant over the gene for brown color.
Step-by-step explanation:
Whichever gene is dominant is the one that will be applied to the organism.
0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?
Answer:
x = -1.5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.2x + 1 = 1.6x + 3.1
Step 2: Solve for x
Subtract 0.2x on both sides: 1 = 1.4x + 3.1Subtract 3.1 on both sides: -2.1 = 1.4xDivide both sides by 1.4: -1.5 = xRewrite: x = -1.5Step 3: Check
Plug in x to verify it's a solution.
Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply: -0.3 + 1 = -2.4 + 3.1Add: 0.7 = 0.7Brenda has two remote-controlled race cars painted blue and red, respectively.The blue car traveled 54 feet 4 secounds.The red car traveled 38 feet im 2 seconds.
Answer:
The red car is faster compared to the blue car.
The red car is faster by 5.5 feet than the blue car.
Step-by-step explanation:
The objective is to find which car is faster and by how much
Given that:
The blue car traveled 54 feet in 4 seconds; &
The red car traveled 38 feet in 2 seconds.
Let us determine the number of feet traveled in each second for both cases.
For the blue car:
In 1 second, the car will travel = 54/4 feet
In 1 second, the car will travel = 13.5 feet
For the red car:
In 1 second, the car will travel = 38/2 feet
In 1 second, the car will travel = 19 feet
Thus, the red car is faster compared to the blue car.
The distance at which the red car is faster than the blue car = 19 feet - 13.5 feet
= 5.5 feet
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answer:
0.32x + 60= y
Step-by-step explanation:
hcf and lcm of 120 and 180, shown your work
The HCM and LCM of 120 and 180 are 360.
What is HCF and LCM?The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.
Given are two numbers as -
120 and 180
We can write 120 and 180 as -
120 = 2 x 2 x 2 x 3 x 5
180 = 2 x 2 x 3 x 3 x 5
HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60
Now, we can find LCM using the formula -
LCM(a, b) = (a x b)/HCF(a, b)
LCM(a, b) = (120 x 180)/60
LCM(a, b) = 2 x 180 = 360
Therefore, the HCM and LCM of 120 and 180 are 360.
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Help will give a crown!!
Answer:
okay
Step-by-step explanation:
1) Each side length is 12
2) Each side length is 2
the perimeter of a right angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5. work out the area of the triangle
The area of the given triangle will be 216 cm²
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
We have been given that the perimeter of a right-angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5.
Let the side lengths of the given triangle be 3x, 4x, and 5x
The perimeter of the triangle = 3x + 4x + 5x
72 = 12x
x = 6
So first side length = 3(6) = 18 cm
So second side length = 4(6) = 24 cm
And third side length = 5(6) = 30 cm
Area of the triangle = (18 × 24)/2
Area of the triangle = 216 cm²
Therefore, the area of the given triangle will be 216 cm².
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What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?
The amount of the discount would be 20 Dollars
How do I solve this and check all the solutions?
Answer:
x = 2
Step-by-step explanation:
(Square both sides)
20 - 8x = x^2
(Solve 20 - 8x = x^2)
x = 2 , x = 10
x = 10 is false, so the answer is x = 2.
Answer:
x=2
Step-by-step explanation:
√20-8x=x
2√5-2x=x (by simplfing redical expression)
4(5-2x)=x^2 (square both side)
20-8x=x^2
20-8x-x^2=0
-x^2-8x+20=0
x^2+8x-20=0
x=2
Note:There is a another answer x=-10 But it's wouldn't fit out with this equation
A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?
Answer:3.6
0
Step-by-step explanation:
Because 10 percent of 1.00 is 0.10 and if you do 10 percent of 1.00 times two it is 20 percent of 2..00 which is 0.4
Help me please. I’m trying very hard.
Answer:
27/3
Step-by-step explanation:
50-(18+5)= 27
27/3
Will mark brainliest! Please help I have no idea!
Answer:
the decimals should line up.
Answer:
press the right arrow 3 times
Step-by-step explanation:
to properly subtract any numbers the value of the digits need to be in line
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
How do I solve 4x+23>-21
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr
True
False
Answer:
Step-by-step explanation:
152.2 miles /2.5 hours= 60.88 mph so false.
check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.
what is halfway between 5.3 and 5.4
Answer:
5.35
Step-by-step explanation:
5.31 5.32 5.33 5.34 5.35
[tex]-0.2\sqrt{x^2}[/tex] You have to simplify this
Answer:
The simplified answer to that is -0.2x.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
-0.2x
Step-by-step explanation:
If x is negative then,
-0.2(-2) = 0.4
. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3
Answer:
a - neither b - perpendicular
Step-by-step explanation:
put them in desmos and look at the lines
I need helppppppppp!!!!
1.A study was created to test the effects of jazz on people's sleep patterns. The hypothesis of the experiment was
that if people listened to jazz music as they fall asleep, they will sleep for longer periods of time. For the experiment,
2 groups of people were created. Group I was placed in a quiet room where they went to sleep and they were timed
on how long they slept. The Group 2 was placed in a room where jazz music played softly as they began to sleep and
played throughout the night. As each group awoke, their sleep times were monitored.
Independent Variable:
Dependent Variable:
Experimental Group:
Control Group:
3 constants:
?
Answer:
Independent Variable: Jazz music
Dependent Variable: Sleeping Time
Experimental Group: people sleeping with jazz music
Control Group: people sleeping without jazz music
3 constants:
No of people in group
Jazz music
Sleep
Step-by-step explanation:
The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.
The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.
Experimental group on which experiment is being carried out.
Control group is which determines the changes in experimental group.
Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .
What will the first step look like in a substitution problem?
y=2x
x+y=9
Answer:
x + 2x = 9
General Formulas and Concepts:
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.
We are given:
y = 2x
x + y = 9
Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.
x + 2x = 9
And we would solve from there.
Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are
The possible values of x are positive integers that are less than 14
The perimeter of a figure is the sum of all its sides.
A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,
perimeter = 7 + 7 + x
perimeter < 28 feet
Therefore,
7 + 7 + x < 28
14 + x < 28
subtract 14 from both sides
14 - 14 + x < 28 - 14
x < 14
Therefore, the possible value of x are positive integers that are less than 14.
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Solve w + (-2) = -18 for w.
w =
Answer:
Step-by-step explanation:
w - 2 = -18
w - 2 + 2 = - 18 + 2
w = -16
Answer:
-16
Step-by-step explanation:
w + (-2) = -18 w= -16
VERY URGENT WILL GIVE YOU 100 POINTS
Answer:
11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13Answer:
1. 11x
2.5x + 7
3. 5x +8
4. 8x + 9y
5. X + 8y +12
6. 12x + 3y
7. 10a + 7b + 4
8. 19a + 11
9. a + 16b + 10
10. 13a + 9b * 11
11. 12a + 2b + 24
12. 4a + 3b + 1
13. 8x + 6
14. 4x + 27
15. 11x + 20
16. 11x + 8y
17. 5x + 3y + 18
18. 7x + 15y + 30
19. 7x + 7y
20. 5x + 10y + 33
21. 2x + 7y + 37
22. 9x + 7y + 9
23. 6x + 8
24. 8x + 13