Answer:
A → C = 150h + 250 ( where C is charge )
B → C = 175h + 150
for 26 hours
A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150
B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700
Attorney A is cheaper for 26 hours, thus better deal
Equate the 2 equations to find hours they charge the same
175h + 150 = 150h + 250 ( subtract 150h from both sides )
25h + 150 = 250 ( subtract 150 from both sides )
25h = 100 ( divide both sides by 25 )
h = 4 ← number of hours when charges for both are equal
Attorney A becomes a better deal at 5 hours
Step-by-step explanation:
The area of the opening of a rectangular window is to be 120 square feet. If the length is to be 2 feet more than the width, what are the dimensions
Answer:
Width = 10ft
Length = 12ft
Step-by-step explanation:
For a rectangle of length L and width W, the area is calculated as:
A = L*W
In this case, we know that:
The area is 120 ft^2.
The length is 2 ft more than the width.
Then we can write:
L = W + 2ft.
If we use these two equations and replace them in the equation for the area of a rectangle, we get:
A = 120ft^2 = W*L = W*(W + 2ft)
120ft^2 = W*(W + 2ft)
Now we can solve this for W
120 ft^2 = W^2 + 2ft*W
Now we can rewrite this as:
W^2 + 2ft*W - 120ft^2 = 0
The solutions of this equation can be found by the Bhaskara's formula.
We know that for an equation of the form:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}[/tex]
in our case, we have:
a = 1
b = 2ft
c = -120ft^2
Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:
[tex]W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}[/tex]
Then the two solutions are:
W = (-2ft - 22ft)/2 = -12ft (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)
The other solution is:
W = (-2ft + 22ft)/2 = 10ft (this is the correct solution)
Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:
L = W + 2ft = 10ft + 2ft = 12ft
Simplify 11 - [ 4 + 2 • 3 ]
Answer:
Step-by-step explanation:
remember PEMDAS
11-(4+6)=11-10=1
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account.
Answer: $7,605
Step-by-step explanation:
At the end of 1 years, the amount in the account will be:
= Principal * (1 + rate)^ no. of periods
= 6,500 * (1 + 17%)
= $7,605
what is the value of the ecpression ( 81 1/4 ) 4
Answer:
324 1/4
Step-by-step explanation:
Answer:
43580627 _(ﾟ◇ﾟ；)ノﾞ
Step-by-step explanation:
1.1 81 = 34
(81)1 = (34)1 = 3
34
Simplify ——
4
Please help with thissss
Answer:
180 degrees
Step-by-step explanation:
Lets call the unknown Angle next to angle C "ANGLE D"
1. Your given the angle 45 degrees.
2. (45 degree angle) can correspond to Angle D,
because of the alternate exterior angles definition- two lines (angles) that are on diagonal opposite sides of one another outside of the two parallel lines.
3: (45 degree angle) is an alternate exterior angle to its corresponding diagonal angle Angle D, this can also be said for (Angle C) and (angle B).
4: Now that the angles are known- (Angle C) is an alternate exterior angle to (Angle B). (45 degree angle) is an alternate exterior angle to Angle D
We can now use
The alternate Exterior angles Theorem- If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
4: we now know that (45 degree angle) is congruent to Angle D. And (angle C) is congruent to (angle B).
-Angle D and (45 Degree angle) are both 45 degrees since they are both alternate exterior angles to one another. And (Angle C) and (Angle B) have the same angle measure because they are alternate exterior angles to one another.
5: take a look at (angle C) and Angle D notice the transversal- (line that intersects two parallel lines), and how it creates a linear pair. Notice that the transversal has created the angles of (angle B) and (45 degree angle) to be linear pairs as well.
- Linear Pair definition- If two adjacent lines have rays pointing in opposite directions they are linear pairs.
Also the definition of a Linear Pair identifies as Supplementary. Supplementary is an angle that has a total of 180 degrees.
6: If (45 degree angle) and Angle B make a linear pair, and linear pairs have a total of 180 degrees, then solve for the angle measure of (angle B)
180= 45 + measure of (angle B)
180-45= 135
135 = measure of (angle B)
45 + 135= 180 degrees
7: The measure of (Angle B) is 135 degrees and since (Angle B) is congruent to (Angle C), the measure of (Angle C) is 135 degrees.
Therefore, (45 degree angle) and (Angle B) are 180 degrees total and (Angle C) and (Angle D) are 180 degrees total.
Now, that all exterior angle measures are found, it can be concluded that Angle A) is the same as the total measure of its exterior angle, since it is the same line that makes up the linear pair.
Therefore, (Angle a) is 180 degrees.
im dum but please help me
Answer:
336
Step-by-step explanation:
area = 1/2 * (a + b) * h
Which of the following is most likely the next step in the series
Answer:
D
Step-by-step explanation:
6 sides then 5 then 4 then there should be 3
markme brainliest
The ratio of number of boys to girls in a classroom is 6 to 5. If there are a total
of 48 boys, find the number of girls in the classroom.
Answer:
40 girls
Step-by-step explanation:
To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.
Figure 1 and 2 are similar. Based on what you know about side AC’ what would the length of AB be?
Answer:
12 because that's the only logical answer.
is lebron james black
Answer:
yes he is a african american
Step-by-step explanation:
50 POINTS
explain the meaning of the following points
(1,2)
(9,18)
Answer:
(1,2) 1 represents how many days and 2 represents how many mm tall
(9.18) 9 represents how many days and 18 represents how many mm tall
Step-by-step explanation:
Answer:
(1,2) in one day, the plant was 2 mm tall.
(9,18) in nine days, the plant was 18 mm tall.
Step-by-step explanation:
(1,2) in one day, the plant was 2 mm tall.
(9,18) in nine days, the plant was 18 mm tall.
If this helps please mark as brainliest
3. A farm has 40m of fence. What is the maximum area he can
enclose using 4 straight lengths of fence?
Answer:
160m squared
Step-by-step explanation:
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
EL
2. Robyn and Rachel bought a set of CDs for £20. Robyn paid £11
and Rachel £9. What percentage of the total cost did each pay?
Answer:
jjee
Step-by-step explanation:
A person takes up 18 inches of space on a stadium bleacher. If one row of bleachers is 100 feet long and
there are 20 rows of bleachers, how many people can fit into the stands?
The number of people who can fit into the stands in the stadium is 1,333 people
Number of people in the stadiumSpace taken by each person = 18 inches
Length of a row of bleachers = 100 feet
Rows of bleachers = 20
Conversion of feet to inches1 feet = 12 inches
100 feet = 1200 inches
Number of people per row = 1200 inches ÷ 18 inches= 66.67 people
Number of people that fits the stand = Number of people per row × Rows of bleachers= 66.67 × 20
= 1,333.4
Approximately,
1,333 people can fit into the stands in the stadium
Learn more about unknown number:
https://brainly.com/question/4344214
The ratio of three numbers is 4:5:3. The sum of the numbers is 72. What is the smallest value in the ratio of 3 numbers? What is the largest number?
i need help (,:
Answer:
Smallest number is 18. Largest number is 30.
Step-by-step explanation:
a:b:c = 4:5:3
∃x such that a = 4x, b = 5x, c = 3x
"sum of the numbers is 72"
a+b+c = 4x+5x+3x = 72
x = 6
a = 4x = 24
b = 5x = 30
c = 3x = 18
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...
Answer:
1•2n
Step-by-step explanation:
Given the sequence if numbers
1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...
You will see that 1 is common to all the numbers, the other part of the sequence are in arithmetic progression and they are
2,4,6,8,10...
The nth term of an AP is expressed as
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
a = 2
d = 4-2 = 6-4 = 8-6 = 2
Substitute into the formula
Tn = 2+(n-1)2
Tn = 2+2n-2
Tn = 2-2+2n
Tn = 2n
Hence the nth term of the sequence is 1•2n
PLZ HELP ANSWER!!!!!
Answer:
Step-by-step explanation:
so, i might be wrong but i hope this helps.
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
need help asap pls!!
Answer:
v=3
Step-by-step explanation:
SP and RQ are congruent, meaning that they are the same.
So, SP=RQ
We know that SP=5v and RQ=v+12
so plug those values into the equation
5v=v+12
then solve for v
4v=12
v=3
PLEASE PLEASE HELP!!!
Answer:
x = 8
Step-by-step explanation:
small triangle is similar to larger one
set up a proportion: 9 = x + 4
9+12 x+4+2x
9 = x+ 4 cross-multiply: 9(3x + 4) = 21(x + 4)
21 3x + 4 27x + 36 = 21x + 84
6x + 36 = 84
6x = 48
x = 8
Jaclspn has 7 coins that total $1.10. What are the coins?
Can I get some help please..?
1 nickles
3 dimes
3 quarters
Answer:
3 quarters and 1 nickel and 3 dimes
Step-by-step explanation:
25 x 3 75
5 x 1 5
75+5 = 80
3 x 10 = 30
80+ 30 = 110
3 + 1 + 3 = 7 you used 7 coins
Learned this from being a cashier for two weeks haha
Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
[PLEASE LEAVE A SMALL EXPLANATION ILL MARK BRAINLIEST]
Answer:
A
Step-by-step explanation:
All triangles angles add up to 180°
The answer to this question please
Answer:
the answer is 15
Step-by-step explanation:
sorry if wrong
if right can i get a brainliest
give guy under me a branliest
Answer:
X = 15
Step-by-step explanation:
the angle opposite to 4x is equal to 60. since they're both supposed to be equal, I divided 60 by 4, which is how I got 15
Given m ||n, find the value of x.
+
(2x-16)
(4X+4)
Answer: 6x - 12
Step-by-step explanation:
(2x - 16) + (4x + 4)
2x + 4x = 6x
-16 + 4 = -12
What is 20 increased by 50%
Answer:
30.00
Step-by-step explanation:
20 Increased By 50% Is 30.00
Answer:
30
Step-by-step explanation:
20 divided by 2 = 10 + 20 = 30
HELP WITH NUMBER 4 PLEASE!1 PLEASE SHOW ME HOW!
Answer:
( 2x+5) (5x-2)
Step-by-step explanation:
k+2 ≥ 5 i need the answer pls
Answer: dont know
Step-by-step explanation:
The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
Answer:
I don’t know but I have the same question with different numbers
Step-by-step explanation:
3. Find the perimeter of the diagram. Round to the nearest
hundredth.
the answer is 16.77
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Plz help
Simplify 6(3x-5)+5(2x-1)