Answer:
[tex]A=p^2-2p-3[/tex]
Step-by-step explanation:
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base is p + 1 and the height is 2p - 6. Therefore:
[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]
Simplify the second term:
[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]
Distribute:
[tex]A=p(p-3)+1(p-3)[/tex]
Distribute:
[tex]A=p^2-3p+p-3[/tex]
Combine like terms:
[tex]A=p^2-2p-3[/tex]
The table lists recommended amounts of food to order for 25 guests. Nathan is hosting a graduation party for 40 guests. There will also be guests stopping by for a short time. For ordering purposes, Nathan will count each of the 45 “drop-in” guests as half a guest. How much of each food item should Nathan order?
Fried Chicken 24 pieces
Deli Meats 3 2/3 pounds
Lasagna 10 3/4 pounds
Answer:
I think the answer is 2.3
AB, CD and EF are straight lines.
AB is parallel to CD.
work out the size of angle y.
Answer:
y = 108°
Step-by-step explanation:
Since, line AB is parallel to line CD,
By the definition of corresponding angles,
m∠FPB = m∠FQD
(2x + 16)° = (3x - 12)°
3x - 2x = 16 + 12
x = 28
(3x - 12) = 3(28) - 12
= 72°
m∠FQD + m∠EQD = 180° [Linear pair of angles]
72° + y = 180°
y = 180 - 72
y = 108°
Dividing by 1/2 is the same as multiplying by what number
Answer:
0.5
Step-by-step explanation:
Find the value of X.
Answer:
If we don't what you're solving for we can't solve for x
Step-by-step explanation:
f(x) = (x + 1)²
what is the domain of f? please help
help me plzz im almost. out of time
Need help ASAP may have a reward
For you if you answer correctly :)
A.) 4
B.) -4
C.) 3
D.) -3
Help i need help i will mark you as brainiest if your answer is right
Answer:
free points :)
Step-by-step explanation:
Find the volume of the solid. Please help!!
Answer:
132 cm³
Step-by-step explanation:
Two different ways to calculate:
7×6×6= 252 "would-be" total volume.
5×4×6=120 "missing chunk" subtract that.
252-120= 132 cm³ remaining total
OR
7×2×6=84 vertical part
4×2×6=48. horizontal part. add them
84+48= 132 cm³ Total volume
The cost of a set of DVDs after a 25% markup can be represented by the expression c+0.25c . Simplify the expression.
Answer: 1.25c
Step-by-step explanation:
The original cost of the DVDs is given as c.
The cost of the DVDs after a 25% markup is: c + 0.25c to show that 25% of c was being added to c to increase the price.
As both numbers in the equation have the same variable attached, they can be added. c is assumed to be 1c when it stands alone.
= c + 0.25c
= 1c + 0.25c
= 1.25c
i need help with question 7
Find IK
Answer:
A. 46
Step-by-step explanation:
because IJ is 46 also and there both the same size.
pls help i am on a timer
Answer: (x-6)(x+1)
Step-by-step explanation:
Sum : x2 − 5 x- 6
x2 + x-=6 x − 6
factor pair: x 2 + x − 6 x − 6
x( x+ 1 ) − 6 ( x + 1 )
rewrite from: x (x + 1 ) − 6 ( x + 1 )
(x-6)(x+1)
Answer:
A: (x-6)(x+1)
Step-by-step explanation:
We need to find 2 numbers that add to make -5 and multiply to make -6.
We already have the numbers infront of us, so by process of elimination we can remove B and D.
For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.
If we expand A, it makes the expression that needs to be factorised because...
-6 × 1 = -6
-6 + 1 = -5
So expanding it properly we get.
x² - 6x + x - 6
Simplify.
x² - 5x -6
represent 35 in many ways
Answer:
............
Step-by-step explanation:
Thirty five
30+5
Natalie is on her school's swim team. Last year, she swam the 300-meter freestyle in 3 2/3 minutes. This year she swam a shorter distance of 200-meter freestlye in 3 minutes. What is her speed for per hour for each hour for each distanc
Answer:
4909 m/hr
6000 m/hr
Step-by-step explanation:
Last Year :
Distance = 300 m
Time = 3 2/3 minutes
Speed per hour = distance / time
Time in hour = 11/3 ÷ 60 = 0.0611111 hour
300 / 0.0611111 = 4909.0918 m /hr
= 4909 m/hr
This year :
Distance = 200 m
Time = 3 minutes
Speed per hour = distance / time
Time in hour = 3 ÷ 60 = 0.0333333 hour
200 / 0.0333333 = 6000.0060 m /hr
= 6000 m/hr
Kevin can travel LaTeX: 22\frac{1}{2}\:22 1 2miles in LaTeX: \frac{1}{3}\:1 3hour. What is his average speed in miles per hour? Group of answer choices
Answer:
67.5 mile per hour
Step-by-step explanation:
Kevin can travel LaTeX: 22\frac{1}{2}\:22 1 2miles in LaTeX: \frac{1}{3}\:1 3hour. What is his average speed in miles per hour? Group of answer choices
Speed = Distance /Time
Speed = 22 1/2 miles ÷ 1/3 hour
= 45/2 ÷ 1/3
= 45/2 × 3/1
= 67.5 mile per hour
[tex]9x^2-4[/tex]
please simplify!
Answer:
(3x+2)(3x−2)
Step-by-step explanation:
The sum of 67,42 and (6x-1) is 180 what is the value of x?
Answer:
180 - 109 = 6x-1
6x - 1 = 71
6x = 72
x = 12
Step-by-step explanation:
The point on the graph show number of miles that Travis rode during the first 4 hours s
Answer:
20 miles in 2 hours
Step-by-step explanation:
The total number of miles is always 10 times the number of hours.
The ordered pair (2, 20) means that Travis rode 20 miles in 2 hours.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The y-axis is 100 units.
The x-axis is 10 units.
From the graph,
(2, 20) means 20 miles in 2 hours.
Thus,
The total number of miles is 100.
The total number of hours is 10.
(2, 20) represents 20 miles in 2 hours.
Learn more about coordinates here:
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Shen invested in a savings bond for 2 years and was paid simple interest at an annual rate of 2% the total interest that he earned was $28 how much did he invest 
Answer:
Principal = $700
Step-by-step explanation:
Simple interest = principal × rate × time
Simple interest = $28
Rate = 2% = 0.02
Time = 2 years
Principal = x
Simple interest = principal × rate × time
28 = x * 0.02 * 2
28 = 0.04x
x = 28/0.04
x = $700
Principal = x = $700
HELP PLS THE QUESTION IS ALL IN THE PHOTO THE LENGTH OF A FOOTBALL IS 11 INCHES
Which set of side lengths form a right triangle?
A. 50 in.., 48 in.., 14.
B. 3 in.., 6 in.., 5 in.
C. 53 in.., 48 in.., 24 in.
D. 8 in.., 17 in.., 14.
Answer:
the answer is option A
PLEASE MARK ME AS BRAINLY
Step-by-step explanation:
please help meeeeeee
Find the value of x in the diagram. Explain how you found the answer.
Answer:
x = 65
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180° for third angle
third angle = 180° - (60 + 55)° = 180° - 115° = 65°
65° and x are vertical angles and are congruent, thus
x = 65
Answer:
x = 65 degrees
Step-by-step explanation:
Three angles are marked with their values: 55 and 60 degrees. Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.
This 65 degree angle and x are vertical angles. Thus, x = 65 degrees. This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.
what is 652.42 rounded to the hundreds place
Answer:
650.00
Step-by-step explanation:
2 is the hundreds place but since its not 5 or over it will be 0
a farmer is creating a budget for planting soybeans and wheat. planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more that $100,000 planting soybeans and wheat. Write an inequality to describe the constraints. specify what each variable represents
The inequality that represents the constraint is as follows;
200x + 500y ≤ 100000
How to solve inequality?The inequality to describe the constraints is as follows;
Therefore,
let
x = acre of land use to plant soya beans
y = acre of land use to plant wheat
Therefore,
200x + 500y ≤ 100000
Hence, the inequality that represents the constraint is as follows;
200x + 500y ≤ 100000
learn more on inequality here: https://brainly.com/question/13996579
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Answer:
200x + 500y ≤ 100000
Step-by-step explanation:
Given ,
The cost of planting soybeans is $ 200 per acre
The cost of planting wheat is $ 500 per acre
The maximum amount he can spend for planting is $ 100,000
Let's assume
x = acre of land use to plant soya beans
y = acre of land use to plant wheat
We know that ,
If 'a' is the cost spend on unit item and 'b' is the number of items the total cost will be a * b
So the total amount spend for planting will be,
200x + 500y
As the amount spend cannot exceed a maximum of $ 100,000 ,
200x + 500y should be less than or equal to 100,000
Therefore we can mathematically represent it using the inequality ≤ as,
200x + 500y ≤ 100000
Hence, the inequality that represents the constraint is as follows;
200x + 500y ≤ 100000
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1. Determina cuales de las siguientes expresiones son proposiciones.
a) Sube al cuarto piso.
b) El triángulo ABC es equilátero.
c) ¿Qué es un ángulo obtuso?
Select the correct answer.
What is the solution for x in the equation?
-2x + 14 + 10x = 34
A. x = 6
B. x=2/5
C. x=1/8
D. x=5/2
Answer:
the answer is D. x=5/2
Step-by-step explanation:
I think
PLXXZZZZZZZZZZZZZ HELP DONT SAY RANDOM SH JUST FOR POINTS PLZ
Answer:
2. C
3. C
Step-by-step explanation:
I'm not too sure what number 1 is about but I know that for number 2, its 12/5 and for number 3, its 0.
The total cost of making a daily taco special for a restaurant is represented by the function C(t)=2.5t+1, where t is the number of tacos made. How does the total cost change for every taco special the food truck makes? a: $1 b: $2.50 c: -$1 d: -$2.50
Given:
The total cost of making a daily taco special for a restaurant is represented by the function
[tex]C(t)=2.5t+1[/tex]
Where t is the number of tacos made.
To find:
The total cost change for every taco special the food truck makes.
Solution:
We have,
[tex]C(t)=2.5t+1[/tex]
Here, 1 is a constant because it is free from the variable and 2.5 is the coefficient of t.
It means, 1 represents fixed cost of making tacos but 2.5t changes with respect to t. Thus, 2.5 represents the addition cost of every taco special the food truck makes.
So, $2.5 is the total cost change for every taco special the food truck makes.
Therefore, the correct option is b.
This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic
centimeters?
160 cm3
240 cm3
960 cm3
1920 cm3
PLEASE HELP ILL
GIVE BRAINLIEST
Answer:
960
Step-by-step explanation:
Boom! If I get this wrong I am bad.... :(
Answer:
960
Step-by-step explanation:
I took the test look
a study showed that a decrease in the costs of carrots led to an increase in the number of carrots. which statements best describes this relationship