the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of 15 km, the charge paid is 155. How much does a person have to pay for traveling a distance of 25 km?
Answer:
255
Step-by-step explanation:
total cost paid = fixed cost + total variable cost
total variable cost = distance travelled x variable cost per unit
two equations can be derived from the question
a + 10b = 105 equation 1
a + 15b = 155 equation 2
a = fixed cost
b = variable cost per unit
Subtract equation 1 from 2
5b = 50
b = 10
Substitute for b in equation 1
a + 10(10) = 105
a = 105 - 100 = 5
a = 5
cost of travelling a distance of 25km
5 + 10(25) = 255
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80
Answer:
20 %
Step-by-step explanation:
If she saved 15 dollars and paid 60, the original price was 60+15 = 75
The percent discount is (original - new) / original = ( 75-60)/75 = 15/75 = .2
Change to percent form = .2 * 100 =20%
Answer:
B.) 20 %
The percentage discount on the shoes is 20 % .
Step-by-step explanation:
Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.To Find :-The percentage discount on the shoesSolution. :-She pays 60 dollers and saved 15 dollers on the regular price.
original price of pair of shoes = 60 + 15 = 75
Percentage discount is = original price - new price / original price
= 75 - 60 / 75 = 15 / 75 = 0.2
Percentage discount = 0.2
Change into percentage =0.2× 100 = 20%
Therefore, the percentage discount on the shoes is 20 % .
EASY GEOMETRY PLS HELP!!!! AREA IF parallelogram
Answer
80 m^2
Step-by-step explanation:
basically 10 x 8 plus the value
Determine the general rule for the sequence 19;11;3;.....
Answer:
Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23
Step-by-step explanation:
Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula.
Answer:
[tex]a_{n}[/tex] = 27 - 8n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 19 = 3 - 11 = - 8
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 19 and d = - 8 , then
[tex]a_{n}[/tex] = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
find the measure of angle TFM
Answer:
130°
Step-by-step explanation:
angle TFM + angle MFD = 180° (being a linear pair)
or, 4m + 142° +2m + 56°= 180°
or, 6m= 180°- 198°
or, m= -18°/6
so, m= -3°
now, angle TFM = 4m +142°= -12°+142°= 130°
A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?
Answer:
$375
Step-by-step explanation:
Method I
25% = .25
500 * .25 = 125
500 - 125 = 375
-----------------------
Method II
1 - .25 = .75
500 * .75 = 375
Lines DE and AB intersect at point C.
What is the value of x?
Answer:
25 because I need to use mayh
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli. The correct value of t* to construct a 98% confidence interval for the true mean amount of cheese filling is ________. Group of answer choices 2.797 2.492 2.064 3.467 3.745
Answer:
The correct value is t* = 2.492.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the answer to this question.
Find the mean absolute deviation of the following numbers. 10, 8, 5, 12, 20
Find the area of the shaded figure. The area is square units (AREA OF COMPOSITE FIGURES)
Answer:
28 square units
Step-by-step explanation:
count the middle and edgr squares then u can just put the parts of the square together
The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?
Answer:
904.78
Step-by-step explanation:
The agricultural practice of irrigation leaves behind which pollutant in the
soil?
O A. Salt
B. Acidic compounds
C. Nitrogen compounds
D. Pesticides
The answer is Salt !!
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x
Describe the general properties of rotations.
A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.
A rotation preserves lengths of segments.
A rotation preserves measures of angles. Step-by-step explanation:
You Welcome :)!
Can someone help me out these problems !!!
Answer:
Zoom in more and I can help
Step-by-step explanation:
Two of the three views of a solid are shown. A. What is the greatest number of unit cubes in the solid? Greatest number of unit cubes: cubes b. What is the least number of unit cubes in the solid? Least number of unit cubes: cubes Question 2
Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question
answer :
a) 8 unit cubes
b) 1 unit cube
Step-by-step explanation:
The number of views a solid figure can have are : Top view , Front view and side view and The greatest number of unit cubes in a solid depends on the side length of the unit cube
a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8 while
b) The least number of unit cube = 1
plz help me it worth 50% of my grade tell wethere it’s proportional of not
Answer:
2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.
Step-by-step explanation:
Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.
Number 3 does not go through the origin, so number 3 is also not proportional.
Number 5 is proportional since when you divide y by x, it is always 7.
Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.
Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a
building. If the angle formed between the ladder and the ground is 65 degrees, how far is
the bottom of the ladder from the base of the building? (Round to two decimal places)
Step-by-step explanation:
the answer is in the above image
A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40
Answer:
c y=1/2x+40
because it's positive (up). /
Help!!!!!! I Don’t Know The Answer It’s Hard
Answer:
D
Step-by-step explanation:
Have a great summer :)
Answer:
C
Step-by-step explanation:
The slope is negative, so we can exclude the graph A and D
If we substitute y with 2 and x with -3 we have
2 = -4/3 (-3) -2
2 = 4 - 2
2 = 2
the equality is verified so C is the answer
the floor of a warehouse is 60m long 40m wide. find the cost of polishing the floor plzzz helpp
Answer:
Rs 192000
Step-by-step explanation:
area of floor = l*b
=60 * 40
=2400 m^2
cost of polishing per square cm of the floor is Rs 80
cost of polishing floor = 2400 * Rs 80
=Rs 192000
PLEASE I REALLY NEED HELP
Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a math classroom. If the vertices of a science classroom are located at (-3x¹,y¹). (-3x²,y²), (-3x³, y³), and (-3x⁴, y⁴), will the science classroom be congruent to the math classroom?
The lengths of the horizontal sides of the science class is larger than the
length of the horizontal side of the math class.
The correct option is; No, the the transformation applied was not a rigid motion.
Reasons:
The given vertices of the science classroom are;
(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)
The coordinates of the vertices math classroom are;
(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)
Whereby x₁ = x₄, we have;
Length of the vertical side of the rectangular math class = y₁ - y₄
Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁
Similarly;
The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)
Therefore;
[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]
The length of a side of the science is three times the length of the side of
the math class, which gives that the dimensions of the science class are not
the same as the the dimensions of the math class.
Therefore;
The science class and the math class are not congruent
The the correct option is, no the transformation that gives the science class from the math class is not a rigid transformation.Learn more about non-rigid transformation here:
https://brainly.com/question/2396426
Sarah's family traveled 5 8 of the distance to her grandmother's house on Saturday. They traveled 1 3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?
Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]
Step-by-step explanation:
Let x be the total distance to grandmother's house .
As per given,
Distance traveled on Saturday = [tex]\dfrac58x[/tex]
Remaining distance = [tex]x-\dfrac58 x[/tex]
[tex]=\dfrac38x[/tex]
Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance
= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]
= [tex]\dfrac18 x[/tex]
The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]
whats the value of x? -5(x + 7) = -14 + 2x
Answer: x=-3
Step-by-step explanation:
Ok let's start by using the distributive property
[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]
Now subtract 2x from both sides
[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]
Next add 35 to both sides
[tex]-7x-35+35=-14+35\\-7x=21[/tex]
Finally divide both sides by -7
[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]
Answer:
x = -3
Step-by-step explanation:
First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.
Solve the following equation for x.
18 – 4.x = 10 - 2x
A x = -4
B) x = -1
C) x = 1
D) x =4
Answer:
D) x = 4
Step-by-step explanation:
18 - 4x = 10 - 2x
10 - 2x = 18 - 4x
10 - 2x + 4x = 18 - 4x + 4x
10 + 2x = 18
10 - 10 + 2x = 18 - 10
2x = 8
2x ÷ 2 = 8 ÷ 2
x = 4
What is the answer. Do anything begging for help
Answer:what’s the question?
Step-by-step explanation:
