9514 1404 393
Answer:
(b) 6(a+1)
Step-by-step explanation:
Common factors are cancelled from numerator and denominator.
[tex]\displaystyle\frac{a^2-2a+1}{6}\div(a^2-1)=\frac{(a-1)^2}{6}\cdot\frac{1}{(a-1)(a+1)}\\\\=\frac{(a-1)(a-1)}{6(a-1)(a+1)}=\boxed{\frac{a-1}{6(a+1)}}[/tex]
The denominator of the result is 6(a+1).
An item costs $15. The sales tax is 6%. What is the cost of the item after taxes?
Answer:
15.9
Step-by-step explanation:
There are 5,000 trout in a lake, the population decreases 2% yearly. How many trout will there be after 4 years?
Answer:
4,600
Step-by-step explanation:
First you find 2% of 5,000 which is 100 then you determine 2% every 4 years which is 100x4 which equals 400. then subtract 400 from 5,000 which gets you 4,600
Answer:
4600
Step-by-step explanation:
2% of 5000 is 100
100 x 4 = 400
5000 - 400 = 4600
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Sheila threw the discus 24 meters, which was 0.38 meter farther than Tiesha threw the discus. How far, in meters, did Tiesha throw the discus?
Answer:
23.62 meters
Step-by-step explanation:
Find how far Tiesha threw the discus by subtracting 0.38 from 24:
24 - 0.38
= 23.62
So, Tiesha threw the discus 23.62 meters
When Cosmo wears his new shirt properly as shown below, the horizontal stripes form seven closed rings around his waist. This morning he buttoned his shirt incorrectly, as shown on the right. How many closed rings were there around Cosmo's waist this morning?
Answer:
6
Step-by-step explanation:
It is given that Cosmo bought a new shirt which have several horizontal strips printed on the shirt that forms horizontal rings when the shirt is buttoned up. When Cosmo rightly button up the shirts, the horizontal strips forms seven closed rings.
One day when Cosmo wrongly wear the shirt and wrongly buttoned up the shirt, the horizontal strips on the shirt did not matched properly.
So as seen from the figure, when Cosmo wrongly button up the shirt, the closed strips forms 6 horizontal rings around Cosmo's waist.
Three yrs hence, a men will be three time his brother age and the sum of present age is 18 find their present age
Answer:
Step-by-step explanation:
Let the age of a man = x
Age of his brother = y
Three yrs hence, a man will be three time his brother age
This is written as:
x + 3 = 3(y + 3)
x + 3 = 3y + 9 .... Equation 1
The sum of present age is 18
= x + y = 18
x = 18 - y
We substitute 18 - y for x in Equation 1
find their present age
18 - y + 3 = 3y + 9
Collect like terms
21 - 9 = 3y + y
12 = 4y
y = 12/4
y = 3 years
x = 18 - y
x = 18 - 3
x = 15 years
Write the point-slope form of the equation of the line through the given points.
(4,-4), slope = -2
Oy+4 = –2(x – 4)
Oy - 4= 2(x + 4)
Oy+2 = 4(x - 4)
Oy - 2 = 4(x +4)
Terms
Answer:
first option
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = - 2 and (a, b ) = (4, - 4 ) , then
y - (- 4) = - 2(x - 4) , that is
y + 4 = - 2(x - 4)
A type of fish for your aquarium costs $9 each. You can spend at most $63.
Write an inequality to model the problem.
Answer:
9x>63$
Step-by-step explanation:
nine $ aquarium , at most > 63$
Enter the value of 3 over 4
Answer:
1. Three fourths
2. 3/4
3. 0.75
4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75
A triangle has vertices of (−3, 3), (−3, 2), and (1, −2). What are the coordinates after dilating from the origin by a scale factor of 1 2 ?
Answer:
(-1.5, 1.5), '(-1.5, 1) and (0.5, -1)
Step-by-step explanation:
Given the coordinate (x, y) If dilated by a factor k, the resulting coordinate will be (kx, ky).
Similarly given the coordinates of a triangle (−3, 3), (−3, 2), and (1, −2)
when dilated by a factor of 1/2, the new coordinates will be at;
A (-3, 3) = A'(1/2*-3, 1/2 * 3) = A'(-1.5, 1.5)
B (-3, 2) = B'(1/2*-3, 1/2 * 2) = B'(-1.5, 1)
C (1, -2) = C'(1/2*1, 1/2 * -2) = C'(0.5, -1)
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answer:
hi
Step-by-step explanation:
omhg hi
Which angles are vertical angles?
Answer:
<DCA and <BCF
Step-by-step explanation:
vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex
Twenty-five percent of the students had forgotten the year of the Declaration of Independence. If 57 students had not forgotten, how many students were there in all
Answer:
76,
Step-by-step explanation:
If you divide 57 by 3, you get 19. If you times 19 by 4 that is the total number of students there were in all.
AREA OF A CIRCLE HELP PLS
Answer:
254.34 in²
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
d = 18 inches, so r = d/2 = 9 inches
Area = 3.14 * 9 * 9
= 254.34 in²
Jessica and two friends spent $36.93 on dinner. They left a $6.00 tip. How much money did each person spend if they split the bill and tip equally?
Answer:
14.31
Step-by-step explanation:
Two sides of a parallelogram are 65 feet and 87 feet. The measure of the angle between these sides is 52°. Find the area of the parallelogram to the nearest square foot.
Answer:
Area of the parallelogram is approximately 4,456.2 square feet
Step-by-step explanation:
The lengths of the sides of the parallelogram are 65 feet and 87 feet
The measure of the angle between the sides, Y = 52°
The formula for finding the area of a parallelogram is given as follows;
Area of a parallelogram = A·B·sin(Y)
Where;
'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them
Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;
Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²
find the ratio in lowest terms of 20 girls and 15 boys
Answer:
4:3
Step-by-step explanation:
The ratio is 20 girls to 15 boys as it says 20:15 ,
but this is simply 4 parts to 3 parts or 4:3
What is the INITIAL VALUE of the following function?
f(x)=18(1.46)^x
NEED ANSWER ASAP!!
Answer:
[tex]f(x) = 18(1.46) {}^{x} \\ initially : x = 0 \\ f(0) = 18 \times {(1.46)}^{0} \\ = 18[/tex]
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 9 boys and 6 girls are competing, how many different ways could the six medals possibly be given out?
Answer:
d
Step-by-step explanation:
I need help ASAP!!!
Thx!!!
Answer:
c
Step-by-step explanation:
because i said so
A sweater regularly priced at $135 is on sale at 15% off. How much would you pay
for the sweater, including taxes of 13%?
HOW TO DO THIS QUESTION PLEASE
I need the answer plssss
Answer: b drained the fastest I think
Step-by-step explanation:
somebody help me out plz-
Answer:
Vertex: (2,-2)
Axis of symmetry: x=2
Step-by-step explanation:
The vertex is the maximum or minimum point of a quadratic, which we can see on the graph is (2,-2).
The axis of symmetry is the line about which the graph of the parabola is symmetric, which is the line x=2.
Does anyone know how to solve this?
Answer:
a) the average of change for the number of bacteria from 0 to 6.8 hours is
[tex]the \: average \: of \: change \: = \frac{2292 - 1000}{6.8 - 0} = 190 \: bacteria \: per \: hour[/tex]
b)
[tex]the \: average \: rate\: of \: change \: from \: 10.2 \: to \: 13.6 \: hours \: = \frac{5080 - 3856}{13.6 - 10.2} = 360[/tex]
i need help on finals plsssssss
Answer:
Our rate is, 10:125
Let's make it a unit rate!
Divide by 10 on both sides:
1:12.5
Step-by-step explanation:
She makes 12.50 dollars per hour.
In desperate need for help! (20 points question)
Answer: The answer is J. 0.23
Step-by-step explanation: (3 ^2)( e ^− 3)/ 2 ! equals P = 9 /2 e^ 3 or in decimal form it equals P= 0.22404180 … Therefore the answer is J. or 0.23 because is the closest probability.
Annie earns $320 for 8 hours of work. At that rate, how long would she have to
work to earn $1,120?
Answer:
28 hrs
Step-by-step explanation:
in 8 hrs she earns $320,
so in 1 hr she earns $320/8=$40
no. of hrs she takes to earn $1120 is,
=1120/40= 28 hrs
Annie would need to work 28 hours to earn $1,120 at the same rate.
To determine how long Annie would have to work to earn $1,120 at the same rate, we can set up a proportion based on the given information.
Let's define:
x = the number of hours Annie needs to work to earn $1,120.
According to the information given, Annie earns $320 for 8 hours of work. This can be expressed as the rate: $320/8 hours.
We can set up the proportion as follows:
320/8 = 1120/x
To solve this proportion, we can cross-multiply and then solve for x:
320x = 8 * 1120
320x = 8960
Dividing both sides of the equation by 320:
x = 8960/320
x = 28
Therefore, Annie would need to work 28 hours to earn $1,120 at the same rate.
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. The product of two integers is -84. One of them is 4, find the other integer.
Answer:
Answer :-Product of two integers = - 84
One integer = 4
Other integer = x
[tex]4 \times x = - 84 \\ 4x = - 84 \\ x = \frac{ - 84}{4} \\ x = - 21[/tex]
⎆ The value of the other integer is - 21
What are some websites that someone does your math assignment for you help ASAP
HELP ME I BEGGGG THANK U PLEASE ITS DUE
Answer:
y=6x+24
Step-by-step explanation: