Answer:
Step-by-step explanation:
X^2-3x=7/4 should first be rewritten in standard form, which here would be:
x^2 - 3x - 7/4 = 0.
1. Identify the coefficient of the x term and take half of that number:
-3/2
2. square this result: (-3/2)^2 = 9/4
3. add this last result, 9/4, between the -3x term and the -7/4 term, and then subtract it as shown:
x^2 - 3x + 9/4 - 9/4 - 7/4 = 0
4. Rewriting the first 3 terms as the square of a binomial, we get:
(x - 3/2)^2 - 16/4 = 0, or (x - 3/2)^2 = 16/4
5. Take the square root of both sides, obtaining:
x - 3/2 = ±√4/2 or ±√2
6. Write out the two roots: x = 3/2 + √2
and x = 3/2 - √2
Can someone please help me find the area of the semicircle
Answer:
The area of each semicircle is (1/2)25(pi) for a total of 25pi.
The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answer:
price of an adult ticket = a = $7
price of a student ticket = s = $6
Step-by-step explanation:
price of an adult ticket = a
price of a student ticket = s
7a + 7s = 91 (1)
14a + 12s = 170 (2)
Multiply (1) by 2
7a + 7s = 91 (1) × 2
14a + 14s = 182 (3)
14a + 12s = 170 (2)
Subtract (2) from (3) to eliminate x
14s - 12s = 182 - 170
2s = 12
s = 12/2
s = 6
Substitute s = 6 into (1)
7a + 7s = 91 (1)
7a + 7(6) = 91
7a + 42 = 91
7a = 91 - 42
7a = 49
a = 49/7
a = 7
price of an adult ticket = a = $7
price of a student ticket = s = $6
What is the area of the shaded part ? Take(π=22/7)
Answer:
Given:
radius of bigger half circle[R]=(7+7+14)/2=14cm
radius of smaller half circle [r]=14/2=7cm
Area of shaded region =1/2[πR² -πr²]
=1/2×22/7×[14²-7²]=231cm²
Area of shaded region=231cm²
The committee mixes 16 liters of soda with 4 liters of fruit punch, how many liters of soda did they make her leader of fruit punch?
i don't know sorry.....................................
Answer:
16/4=4
4,,,,,,,,,,,,,,,,,,,,
Item 11
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
4 ft higher
Step-by-step explanation:
Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.
So, by Pythagoras' theorem,
10² = 6² + d² (the length of the ladder is the hypotenuse side)
d² = 10² - 6²
d² = 100 - 36
d² = 64
d = √64
d = 8 ft
Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.
Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).
Now, applying Pythagoras' theorem to the ladder with these new lengths, we have
10² = (6 + x)² + (8 - 2x)²
Expanding the brackets, we have
100 = 36 + 12x + x² + 64 - 32x + 4x²
collecting like terms, we have
100 = 4x² + x² + 12x - 32x + 64 + 36
100 = 5x² - 20x + 100
Subtracting 100 from both sides, we have
100 - 100 = 5x² - 20x + 100 - 100
5x² - 20x = 0
Factorizing, we have
5x(x - 4) = 0
5x = 0 or x - 4 = 0
x = 0 or x = 4
The top of the ladder is thus 4 ft higher
What is a 1/15 cup in cooking??
Answer: 1/5 cup with 2 tps
Step-by-step explanation:
A tax exempt employee benefit is usually more adavantages to the employee than a tax deferred benefit
Answer:
Step-by-step explanation:
Yes, it is, more or less. This is because with a tax-deferred account, tax savings are gotten when you make contributions, but when it then comes to a tax-exempt account, the withdrawals are instead free of tax during retirement.
In a tax-deferred account, you can make immediate tax deductions as much as the full amount of your intended contribution, but then, subsequent withdrawals from the same account will be taxed at the normal income rate.
On the other hand, tax-exempt accounts don't deliver a tax benefit, particularly when you contribute to the them, they provide tax benefits that comes much later
Can someone please help!
Answer:
- 3+2x/x-3
Step-by-step explanation:
A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *
Answer:
2m = x
x being the number of tables
Step-by-step explanation:
2 tables = 1 minute
x tables = m
(cross multiply)
2m = x
x being the number of tables
Si un capital de 6800 soles se presta a 12% anual, durante a años y 19 días, ¿Qué interés producirá?
El número de años no se da de forma exhaustiva. Usando un valor hipotético
Respuesta:
Por favor, consulte la explicación.
Explicación paso a paso:
Suponga que el número de años es igual a 1 año 19 días
Convertir en años; 19 días es igual a 19/365 = 0,0520547; por lo tanto, 1 + 0.0520547 = 1.0520547 años
Recuerde la fórmula de interés simple:
Interés = principal * tasa * tiempo
Interés = 6800 * 0,12 * 1,0520547
Intereses = 858,4766352
Por tanto, si el plazo es de 1 año 19 días; interés = 858.4766352
Si el número de años en el período es diferente, simplemente siga el mismo paso para convertir los días y sume al número exacto si los años se dan.
Please help ASAP!!!
Two small planes leave Sacramento and LA, which are 380 miles apart, and travel toward each other. If one plane travel 30 miles per hour faster than the other plane and they meet in one hour, what are their respective speeds?
Thank you, thank you, thank you!!
Let the speed of the first plane be x then the speed of the second plane would be x + 30
The combined speed is x + x + 30 = 2x + 30
2x + 30 = 380
Subtract 30 from both sides
2x = 350
Divide both sides by 2
X = 175
The speed of the first plane was 175 miles per hour the speed of the second plane was 205 hour
4 is 2% of what number
Answer:
200
Step-by-step explanation:
Step 1: If 2% of a number is 4, then what is 100% of that number? Setup the equation.
4
2%=Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get:
2Y = 4 x 100
2Y = 400
Y = 400
100 = 200
Which choices are equivalent to the expression below? Check all that apply.
Answer:
it is 8
Step-by-step explanation:
Answer:I just got 8 and 64 thats all I got not sure if its gonna be correct for the 64 but for 8 I'm positive about it.
Step-by-step explanation:
If n/12 = 15/36 , then n= ___.
pls help me!
Answer: n=5
have an amazing day <3
This right? If not help please
Answer:
a) 8
b) 10
c) 12
Step-by-step explanation:
C is 12 because tablets sold under 30 are the first 2 bars. 5 stores sold 9-19 and 7 store sold 20-30
Alonzo and Miguel scored a total of 40 points in a basketball game. Miguel scored four more points than twice Alonzo's score. show many points did Miguel score?
Answer:
28
Step-by-step explanation:
Jason agreed to make 12 payments of $38.50 to buy a new T.V. SO far he has made 8 payment. How much more money does he owe?
Answer:
154$
Step-by-step explanation:
SOMEONE HELP ME WITH THIS 4 problems plz i will give brainlist!!
Answer:
Sphere = 113.1
Triangular prism = 30
Rectangular prism = 726
Cone = 452.39
Step-by-step explanation:
have a nice day!
Solve for X pleaassee help
I need help if you answer correct I will give brainiest
Answer:
Opaque
Step-by-step explanation:
Translucent materials, like greaseproof paper and frosted glass, let some but not all light through. They scatter or diffuse the light. Most materials do not allow light through at all and these are called opaque. (The second question is light)
Answer:
opaque, Radiant
Step-by-step explanation:
Opaque can not be seen through and radiant is an energy that can travel through space.
2 3/10x-5/7y-4 5/6y-2 4/5x
Answer:
-21x+233y/42
Step-by-step explanation:
Answer:
poop
Step-by-step explanation:
poopx607
Read this carefully please!
Answer:
A. X=3
B. X=19/5
That the answer for your question.
Step-by-step explanation: Hope this help :D
16-11-13-5-10 2-15-18 13-23 8-11-17 11-12 22-11-12-19 decode message
Answer:
16-11-13-5-10 => P-K-M-E-J
2-15-18 => B-O-R
13-23 = > M-W
8-11-17 => H-K-Q
11-12 => K-L
22-11-12-19 => V-K-L-S
Step-by-step explanation:
Given
See attachment for code key
Required
Decode
16-11-13-5-10
2-15-18
13-23
8-11-17
11-12
22-11-12-19
From the code key, we can see that each number represent the alphabet at that position;
To do this, we simply replace each number with the alphabet they represent.
So, we have:
16-11-13-5-10 => P-K-M-E-J
2-15-18 => B-O-R
13-23 = > M-W
8-11-17 => H-K-Q
11-12 => K-L
22-11-12-19 => V-K-L-S
Answer:
do you just need the letters or... cuz the letters dont spell anything
Step-by-step explanation:
A student can type 2 3 of a page in 1 5 hour. How many pages can the student type in an hour?
Need this asap
Answer:
2/15
Step-by-step explanation:
find a common denominator:
3, 6, 9, 12, 15
5, 10, 15
the common denominator is 15.
add by how many times you added 3 and 5.
3+4=7/15
do the same with 5 and subtract the answers:
7/15-5/15= 2/15
Answer:
2/15
Step-by-step explanation:
Help me. :) :) :) :)
Option D
...................
Answer:
A prism reflecting light in straight lines.
Step-by-step explanation:
Prisms don't focus light nor diffract. They reflect. I don't think prisms reflect light into wavelengths either. Also, as you can see the rays of light are reflecting in straight lines. Therefore, the prism is reflecting light in straight lines.
Please help I have been stuck for a while
Answer: 6.3
c^2 = a^2 + b^2
c^2 = 2^2 + 6^2
c^2 = 4 + 36
c^2 = 40
c = 6.32455532
Add fill in the blanks
I need help can y’all help me
Answer:
Step-by-step explanation:
11, 10 (first side)
10,7 (2 side)
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
yes it's
Step-by-step explanation:
it's a parallelogram because the opposite sides are parallel.
give me brainliest
Find the zeros of the expression
I don’t know how to do this, please explain :(
Answer:
1. Adjacent and formed a linear pair
2. Adjacent and formed a linear pair
3. Adjacent
4. Not adjacent
Step-by-step explanation:
In essence, adjacent angles are two angles side by side. Two adjacent angles can form a linear pair when they are created by two lines intersecting. So, in broad terms, they are adjacent on a flat plane (or a straight line), and together they make a 180° angle.