(x-2)(x+2) is factorize is given eq
During the hours from 9:00 PM on Friday to 9:00 pm on Sunday, Kristin spent 1/3 of her time sleeping, 1/8 of her time raking leaves, 1/12 of her time reading a book, 1/16 of her time working on her science project, 1/24 of her time riding in the car, and 1/48 of her time watching television. How many hours in this time period remained for all other activities?
Answer:
16 hrs of Sleep
6 hrs of Raking Leaves
4 hrs reading
3 hrs science project
2 hrs riding car
1 hr watching tv
Step-by-step explanation:
Its division on all of them, 9:00 PM on Friday to 9:00 PM on Sunday, would be 2 days, there being 24 hrs on one day, and since its 2 days, its 48, then you divide 48 by the denominator, and there you should get your timed answer.
For example, for the 1/3, you'll divide the denominator (the bottom number, in this case 3) by 48, since that's the whole amount, and the 3 is the amount of time they spent out of that whole. The division is written 48 ÷ 3 = 16
Hope this helped a bit :)
When a number is decreased by 2.6%, the result is 83. What is the original number to the nearest tenth?
Answer:
85.2
Step-by-step explanation:
we can represent this in an equation where the initial value is going to be and to this we will subtract 2.6% of it
x - x * 2.6/100 = 83
x - 0.026x = 83
0.974x = 83
x = 83 / 0.974
x = 85.2156
we round to the nearest tenth and finally, we get that the result is 85.2
Can anyone tell me why by direct substitution of x, the equation (circled ones) equals to the indeterminate form, 0/0? When you can do x²-k=6 something like that
Answer:
See explanation and hopefully it answers your question.
Basically because the expression has a hole at x=3.
Step-by-step explanation:
Let h(x)=( x^2-k ) / ( hx-15 )
This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.
Solving for x in that equation:
Adding 15 on both sides:
hx=15
Dividing both sides by h:
x=15/h
For it be a hole, you also must have the numerator is zero at x=15/h.
x^2-k=0 at x=15/h gives:
(15/h)^2-k=0
225/h^2-k=0
k=225/h^2
So if we wanted to evaluate the following limit:
Lim x->15/h ( x^2-k ) / ( hx-15 )
Or
Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.
We were ask to evaluate
Lim x->3 ( x^2-k ) / ( hx-15 )
Comparing the two limits h=5 and k=225/h^2=225/25=9.
7)On subtracting 8 from x, the result is 2 . Form a linear
equation for the statement.
Answer:
8-x=2
-x=2-8
-x=-6
x=6
if 8 is subtract from 6answer is 2
5 a + 3 b + 2 a b + 4 a -7 b
Answer:
5a+4a=9a
3b-7b=-4b
2ab
=9a-4b+2ab or 2ab+9a-4a
Step-by-step explanation:
Calculate liked terms
find a number such that when 3/4 of it is added to 3.5 the sum is the same as when 2/3 of it is subtracted from 6.5
Answer:
2.1
Step-by-step explanation:
let unknown number be x
3/4x + 3.5= 6.5 - 2/3x
collect like terms
3/4x+2/3x=6.5 - 3.5
17/12x = 3
cross multiply
12 * 3=17x
36=17x
x=36/17
x=2.1
(4m2-3). 12,13
What is the simplified form of
A sinusoidal graph has an amplitude of 9 and a midline of y = –2. Determine
the range of the graph.
Answer:
[tex]( - 11.7)[/tex]
Range 18
Step-by-step explanation:
Twice the amplitude.
An average woman walks at a speed
of 255 feet per minute. At this rate,
how far would Mrs.
ft
Hill walk in an hour?
Answer:
15,300 ft or 2.9 miles
Step-by-step explanation:
Distance = Rate * Time (but rate and time must be in the same units)
convert hours to minutes
1 hr * 60 min/hr = 60 min
then
D = 255 ft/min * 60 min
D = 15,300 ft
if you want miles, convert ft to miles (5280 ft per mile)
15,300 ft * 1 mi/5280 ft
2.9 mi
What is the result of converting 60 ounces to pounds? Remember, there are
16 ounces in a pound
O A 375 pounds
B. 5 pounds
co pounds
O 0 4 25 pounds
it is 3.75 lbs my shlime
Answer:
the answer is 3.75 pounds
it says one pound is 16 ounces
so divide the ounces with pound
60/16
then we get 3.75 pounds
A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?
Answer:
4 to 3
Step-by-step explanation:
The ratio of salt to pepper is
2/3 to 1/2
Multiply both fractions by 6
6 * 2/3 to 6 * 1/2
4 to 3
Help fast pleaseeeeeeee
Step-by-step explanation:
-2. = [tex] \frac{1}{49} [/tex]-1 = [tex] \frac{1}{7} [/tex]0 = 11. = 72. = 49Twice the sum of x
and 5 equals 3.
⇛2x + 5 = 3
⇛2x = 5 - 3
⇛2x = 2
⇛x = 2/2
⇛x = 1
Answer:
1
Step-by-step explanation:
3 different problems.
solve b - 4 = 3.
solve -32 = 8w
solve n
— = -4
7
Answer:
see below
Step-by-step explanation:
b - 4 = 3
Add 4 to each side
b - 4+4 = 3+4
b = 7
-32 = 8w
Divide by 8
-32/8 = 8w/8
-4 = w
n/7 = -4
Multiply by 7 to each side
n/7 *7 = -4*7
n = -28
Be Precise What is the difference between a terminating decimal and a repeating
decimal?
Answer:
Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.
Can the sides of a triangle have lengths of 42, 45, and 13? If so, what kind of triangle is it?
Answer:
obtuse
Step-by-step explanation:
45^2 = 2025
42^2 = 1764
13^2 = 169
169+1764=1933
2025 > 1933
therefore it is an obtuse triangle
What are the coordinates of P?
(b,0
a,0
0,a
0,b
Answer:
a,0
Step-by-step explanation:
Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).
HELP PLEASE
Which of the following shows that the quadrilateral with vertices A (3, 1), B(0, 6), C (4,7),
and D (7, 2) is a parallelogram?
Answer:
C
Step-by-step explanation:
Brian scored 120 on his test the first time he took the test. The second time he took the test,
he scored 150. By what percentage did Brian increase his score?
a. 20%
b. 25%
c. 80%
d. 125%
Answer:
b. 25%
Step-by-step explanation:
(new - old)/ old * 100%
150 - 120 = 30 ... 30/120 = .25 * 100% = 25%
Answer:
25% increase
Step-by-step explanation:
Take the new amount and subtract the original amount
150-120
30
Divide this by the original amount
30/120
1/4
.25
Multiply by 100%
25%
Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36
6x + 2.5y = 24
Infinite solutions: 0x – 0y = 0
No solutions: 0x + 15.5y = 144
One solution: 0x + 0.5y = 0
Two solutions: 0x – 0.5y = 60
Answer:
One solution: 0x + 0.5y = 0
Step-by-step explanation:
9x + 4y = 36
6x + 2.5y = 24
2 * Eq. 1
18x + 8y = 72
-3 * Eq. 2
-18x - 7.5y = -72
Add the multiples of the equations.
0x + 0.5y = 0
Answer: One solution: 0x + 0.5y = 0
The linear combination that reveals the number of solutions to the system is as follows:
One solution: 0x + 0.5y = 0
The system of linear equation is as follows:
9x + 4y = 36
6x + 2.5y = 24
He multiplied the first equation by 2 and the second equation by –3. Therefore,
Combined equation:18x + 8y = 72
-18x - 7.5y = -72
Therefore, let's add the equation
0x + 0.5y = 0
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There are 3200 students at Lake High School and 310 of these students are sophomores. If 38 of the sophomores are in favor of the school forming a crew team and 34 of the remaining students (not sophomores) are also in favor of forming a crew team, how many students are opposed to this idea?
Answer: 3128 students
Step-by-step explanation:
Total no of students in the school : 3200
No of sophomores in favor of the school forming a crew team : 38
No of the remaining students in favor of forming a crew team : 34
Total students in favor of forming a crew team = 38+34= 72
No of students against it : Total students - Students in favor
= 3200-72 = 3128 students
Suppose AABC = AEFD, AEFD = AGIH, ZA = 90°, and mZF= 20°. What is mZH?
a. 20°
b. 70°
C. 90°
d. Cannot be determined
in triangel abc line segmemt cd is an altitude, such that ad=bc. find ac if ab=3cm and cd =sqrt2
Answer:
√7
Step-by-step explanation:
Let :
AC = x
BD = y ; AD = 3 - y
Since, AD = BC
Then BC = 3 - y
Taking △BDC a d applying Pythagoras
Hypotenus² = opposite² + adjacent²
BC² = CD² + BD²
(3 - y)² = (√3)² + y²
9 - 6y + y² = 3 + y²
-6y + y² - y² = 3 - 9
-6y = - 6
y = 1
AD = 3 - y ; AD = 3 - 1 = 2
Taking △ADC
AC² = CD² + AD²
AC² = (√3)² + 2²
AC² = 3 + 4
AC² = 7
AC = √7
Help pleaseee I need it so bad
Answer:
Step-by-step explanation:
x²+x-12=0
D=49
X1=3
X2=-4
First is (-4;16)
Put x to the equation y=12-3=9
The other is (3;9)
W
An equation is shown below:
3(2x – 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
Part A: One | Part B: x = 4
Step-by-step explanation:
[tex]3(2x-7)=3\\6x-21=3\\6x=24\\x=4[/tex]
Answer:
4
Step-by-step explanation:
3(2x _7)=3
multiply 3 by everything in the bracket
6x-21 = 3
move 21 to the other side of the equation,it becomes positive sine it crosses the = sign
6x = 3+21
6x =24
divide both sides by 6
6x/6=24/6
x = 4
Sixteen blocks are needed to build a four-step double staircase like
the one on the right. How many blocks will be needed to build a
double staircase of similar shape with 50 steps?
Snacks:
Part B: How much time does Eric spend playing volleyball every day? Show your work. (3 points)
Answer:
b = 35 minutes
Step-by-step explanation:
A)
How long he plays basketball = x
How long he plays volleyball = y
x + y = 95
x = y + 25
B) We will replace (x = y + 25) as x in the first equation
(y + 25) + y = 95
2y + 25 = 95
2y = 95-25
2y = 70
y = 70/2
y = 35
He plays volleyball for 35 minutes everyday
answered by g a u t h m a t h
Find the arc length of the partial circle.
Answer: C=10.99
Step-by-step explanation:
It can be seen that the arc has an angle of a=90 degrees, respectively, the length of the arc can be found by the formula[tex]\bf C=\dfrac{2\bf {\pi} r}{360} \cdot \alpha=> \dfrac{2\cdot 3,14\cdot 7 }{360} \cdot 90=\boxed{\bf 10.99}[/tex]What are the steps involved in multiplying/ dividing rational expressions??
Answer:
Multiplication:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction. Write it as a product of the factors of the numerators over the product of the factors of the denominators. DO NOT multiply anything out at this point.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Division:
Step 1: Completely factor both the numerators and denominators of all fractions.
Step 2: Change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal.
Step 3: Cancel or reduce the fractions. Remember that to reduce fractions; you can cancel something in the numerator with something in the denominator, but in order to cancel something in the numerator and denominator the two factors must be EXACTLY the same.
Step 4: Rewrite the remaining factor. Notice that you do NOT need to actually multiply anything in the numerator or denominator.
How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer
Answer:
43,200 minutes in 1months or 30 days
There are 43200 minutes in one month.
What is multiplication?The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.
Given that, How many minutes are in a 30-day month,
We have, 60 minutes in 1 hour
And, 24 hours in 1 day,
Then, number of minutes in 1 day = 60 × 24 = 1440 minutes
Therefore, in 1 month = 1440 × 30 = 43200 minutes
Hence, there are 43200 minutes in one month.
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