Given:
Php 50.00 is paid for the first 10 kilometers and the addition of Php 5.00 for every succeeding kilometer.
To find:
The total fare (F) for x kilometers.
Solution:
Let x be the number of kilometers and F(x) is total fare.
Number of kilometers cannot be negative. So, x is always greater than 0.
Php 50.00 is paid for the first 10 kilometers.
[tex]f(x)=50.00[/tex] for [tex]0\leq x\leq 10[/tex]
The addition of Php 5.00 for every succeeding kilometer.
[tex]f(x)=50.00+5.00(x-10)[/tex] for [tex]x\geq 10[/tex]
Therefore, the required function is
[tex]\begin{cases}50.00, & \text{ if } 0\leq x\leq 10\\ 50.00+5.00(x-10), & \text{ if } x\geq 10 \end{cases}[/tex].
NO ONE IS HELPING ME PLEASE IM FINNA CRY I SWEAR I BEGGING YOU!!!! THIS IT DUE TODAY and PLZ explain!!!! ! SHOW YOUR WORK
p + 1.6 + (—0.4) 12
Answer:
-8
Step-by-step explanation:
P in (-oo:+oo)
P+1.6/(-0.4) = -12 // + 12
P+1.6/(-0.4)+12 = 0
P+8 = 0 // - 8
P = -8
P = -8
I think
An entomologist built a box in the shape of a rectangular prism to hold a beetle. The depth was one inch less than the width and the length was 4 inches more than the width. The volume of the box is 12 cubic inches. The equation 12 = w(w − 1)(w + 4) models this situation.
Answer:
holy- that looks so confusing
Step-by-step explanation:
Find the slope given points (7, 3) and (5, 9)
Answer: -3
Step-by-step explanation: 3-9=-6, 5-7=-2, simplify -6/-2 to get -3
HELP!!!!!!!
The slope of a line is 2 and the point (1, 1) lies on the line. What is the y-intercept of this line?
Answer:
-1
Step-by-step explanation:
What you're gonna do is plug in the values. (i rhymed) The formula is y=mx+b
m = slope
b = y-intercept
y and x are just the y and x values.
1 = 2(1) + b
1 = 2 + b
-2 -2
-1 = b
That's how you solve for the y-intercept (b) = -1.
Hope this helps and have a great day!
The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number. 0-5 05 0-9 9
Answer:
-5
Step-by-step explanation:
What are the radius and circumference of a circle with a diameter of 8 meters? Round answers to the nearest whole numbers. ill mark brainliest
Radius = 4 m, circumference = 25 m
Radius = 16 m, circumference = 32 m
Radius = 16 m, circumference = 4 m
Radius = 8 m, circumference = 16 m
Answer:
circumference=25m
Step-by-step explanation:
circumference=πd
π=22/7
d=8
22/×8=176/8
= 25.14 to the nearest whole number is 25
Answer:
Option one, 4m, 25m
Step-by-step explanation:
You need a calculator for this question.
Radius equation: d/2
Circumference equation: 2(pi r)
or pi (d/2)^2
So we have the diameter of 8 meters.
We can get the radius by dividing by 2. Our radius is 4 meters.
We multiply pi * d to get our circumference
pi*8 = 25
Our circumference is 25m and our radius is 4m
Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?
Answer:
The answer is C.
Step-by-step explanation:
I just took the test and i got it right.
The width of a rectangle is six inches less than its length. If the perimeter of this rectangle is 20 inches, find the width.
Answer:
W=16
Step-by-step explanation:
A $200 coat was reduced 40% and then an additional 20% for a clearance sale. What is the clearance price of the coat?
HELP ASAP!!!!
Answer:
$96
Step-by-step explanation:
200÷100=2 2×60=120 120÷100=1.2
1.2×80=96
Answer:
$96
Step-by-step explanation:
$200-40%-20%=$96
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-3,5), (3,3)
What is the point-slope form of the equation of the line?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the slope-intercept form of the equation of the line?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
Step-by-step explanation:
Point-slope form:
The standard point-slope form equation is
[tex]y-y_1=m(x-x_1)[/tex]
where [tex](x_1,y_1)[/tex] are the coordinates and [tex]m[/tex] is the slope/gradient
so for point-slope form we need to find m cause we already have 2 coordinates (-3,5) , (3,3) we can use any one of them in our equation but first we need to find the slope by the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
we use our coordinates to find it and simply plug in the values
[tex]m=\frac{3-5}{3-(-3)} \\m=\frac{-2}{6} \\\\m=\frac{-1}{3}[/tex]
so we get our slope m = -1/3
and simply put m and any one of the coordinates into the standard form
[tex]y-y_1=m(x-x_1)\\y-3=\frac{-1}{3} (x-3)\\3(y-3)=-1(x-3)\\3y-9=-x+3\\3y=-x+12\\y=\frac{-x+12}{3} \\y=\frac{-x}{3} +4[/tex]
Slope-intercept form:
The standard slope-intercept form is
[tex]y=mx+c[/tex]
where m is the slope and c is the y-intercept, we already know the slope is -1/3 from the previous steps but we don't know the y-intercept so lets get started.
y-intercept means the equation intersects the y-axis which means the coordinate should be [tex](0,y)[/tex] so we plug in the slope -1/3 and the coordinate given above (-3,5) , (3,3) in the equation to find the y-intercept that is c. We can you use any one of the two coordinates.
[tex]y=mx+c\\3=\frac{-1}{3}(3)+c \\\\3=\frac{-3}{3} +c\\\\3=-1+c\\c=4[/tex]
so now we found the value of c=4 which is the y-intercept (0,4) and finally our slope-intercept form would be
[tex]y=\frac{-x}{3} +4[/tex]
as both form are same but the approach is different this verifies that both our answers are correct.
The slope of the line is -1/3. The equation in the slope-intercept form is y = (-1/3) x + 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
The line passes through points (-3,5), and (3,3).
The slope of the line is,
m = (y₂-y₁) / (x₂-x₁)
m = (3-5) / (3-(-3)
m = -2 / 6
m = -1 / 3
The standard equation for the line is,
y - y₁ = m (x - x₁)
y - 5 = -1 / 3 (x - (-3)
3(y - 5) = -1(x+3)
3y - 15 = -x -3
x + 3y = -3 +15
x + 3y = 12
3y = -x +12
y = (-1/3) x + 4
Thus, the slope of the line is -1/3. The equation in the slope-intercept form is y = (-1/3) x + 4.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Anita is making headbands for her softball team. She needs a total of
3/4 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
Fabric
Total Cost for
3/4 Yard ($)
Cotton
5.54
Flannel
2.62
Fleece
4.27
Terry Cloth
6.52
Answer:
Yes, No, No, Yes, Yes are the answers!
Hope you do Great!
Step-by-step explanation:
Describe how to name an angle
Answer:
Look below for an explanation
Step-by-step explanation:
To name an angle, you have to lokk at the three points that create it. There is the vertex and two 'arms' or lines. In the image below, the angle can be called AOB or BOA. However, you can NEVER name an angle by saying the vertex point first. I hope this helps!
find the distance between the pairs of points. enter your answer in the box. (-3,-6) and (-3,1)
Given the equation f(x) = 2x - 5. what is the slope?
Answer:
m=2
Step-by-step explanation:
Convert to standard form: 2x-f(x)=5
Slope using standard form:m=2
m=2
whats the answer? I pick brainiest if right
Answer:
the first one
Step-by-step explanation:
in baking a cake a recipe calls for 1/8 of a cup of flour for 1/4 of a cake. how much flour is needed for a whole cake?
Answer:
4/8 or 1/2 (Cups for both)
Step-by-step explanation:
Suzy spent 6 ⅞ days working on her English paper, 3 ⅙ days doing her science project, and 1 ½ days studying for her math test. How many more days did Suzy spend on her English paper and math test combined than on her science project?
Answer:
She spent [tex]5\frac{5}{24} days[/tex] on her English paper and math test combined than on her science project
Step-by-step explanation:
Suzy spent time on English paper =[tex]6\frac{7}{8}=\frac{55}{8}[/tex]
She spent time on science project = [tex]3\frac{1}{6}=\frac{19}{6}[/tex]
She spent on Maths test =[tex]1\frac{1}{2}=\frac{3}{2}[/tex]
She spent on her English paper and math test combined =[tex]\frac{55}{8}+\frac{3}{2}=\frac{67}{8}[/tex]
Suzy spend time more on her English paper and math test combined than on her science project = [tex]\frac{67}{8}-\frac{19}{6}=5\frac{5}{24}[/tex]
Hence She spent [tex]5\frac{5}{24} days[/tex] on her English paper and math test combined than on her science project
Simplify (-4/5) divided by (-3/-2)
A.-8/15
B.-6/15
C. 6/8
D.8/15
what's 2 plus 2 plus 2 need help now will give brianlist and 22 points
Ps the answer is 6 I just don want the points.
Answer: 6
Step-by-step explanation:
Answer:
6?? lol what
Step-by-step explanation:
Monique wants to find the decimal equivalent of 8/33 so she divides. Study Moniques work shown here, and then answer the question below
Answer:
0.24242
Repeat in a pattern
Repeat in a pattern
Step-by-step explanation:
I did it
Answer:
0.24242
Repeat in a pattern
Repeat in a pattern
Step-by-step explanation:
hope it helps!
You are making picnic baskets The list shows the items you are putting into baskets. You want identical grouops of the items in each basket with no items left over, What is the greatest number of picnic baskets you can make? 32 sanwisches 40 gronaola bars 48 apple
Answer:
8
Step-by-step explanation:
Given that :
Picbic baskets is to be made from;
32 sandwiches
40 granola bars
48 apples
The greatest Number of picnic baskets that can be made is found by obtaining the Greatest Common factor of sandwiches, granola bars and apples ;
Factor of :
32 : 1, 2, 4, 8, 16
40 : 1, 2, 4, 5, 8, 10, 20, 40
48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Hence, the greatest common factor = 8
Answer:
34
Step-by-step explanation:
gbfdnxmkuhfhrjuu7gf
What is the slope of the equation y = (5/4)x + (7/4)
Answer:
Step-by-step explanation:
4y=5x+7
20 POINTS!!!! Geometry Will Mark Brainliest.
Answer:
3 is 68 degrees
Step-by-step explanation:
So 7 is 22
2 is equal to seven so that is 22 too
it's a 90 degree angle
so 90-22=68
so that is how i got 3 is 68 degrees
Answer:
m < 3 = 68°
Step-by-step explanation:
Given m<7 = 22°, apply the Alternate Interior Angles Theorem to solve for m<5 which is also 22°.
You can use the Vertical Angles Postulate to find the m<2 which is also 22°.
Given that m || n and y is perpendicular to m, making y also perpendicular to n.
Since x and y are parallel, x is also perpendicular to n.
This means m<2 + m<3 = 90°
22° + m<3 = 90°
m<3 = 68°
complete the statement and name the property
If 5(x+8)=2, then _+_=2
property:
Answer:
5x+40=2
Step-by-step explanation:
Answer: 5x + 40 ; distributive
Helps me solve this problem please
Answer:
1-2x
Step-by-step explanation:
1) Michael has a guitar book with 64 songs in it. Michael has learned to play 25% of these songs. What is the total number of songs in this book that Michael has NOT learned to play? Show your work.
Answer:
16
Step-by-step explanation:
1. We can write 25% as 25/100
2. We Multiply this fraction with the total number of songs he has
3. 25/100 X 64 equals 16
one mourning the outside temperature was 14 degrees fahrenheit below zero. By noon the outside temperature had risen 18 degrees. By midnight the outside temperature had dropped 6 degrees. What was the outside temperature at midnight in degrees fahrenheit?
The distance between two towns is 120 kilometers. There are a approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two towns?
Answer:
75 miles
Step-by-step explanation:
Given that distance between two towns = 120 km
Number of kilometers in 5 miles = 8 km approximately
Number of miles between the two towns :
Let number of miles between the two towns = d
Since ;
5 miles = 8 km
d miles = 120 km
Cross multiply
8 * d = 120 * 5
8d = 600
d = 600/8
d = 75 miles
Distance between the two towns is approximately 75 miles
In a two-digit number, the units digit is 5 more that the tenth digit. The number itself is three times the sum of its digits. What is this number?
Answer:
27
Step-by-step
. A movie theater has two rooms. Room A has 7 rows of seats with 14 seats in each row. Room B has three times as many seats as room A. How many seats are there in both rooms?
Answer:
Number of seats in Room A = 98 seats
Number of seats in Room B = 294 seats
Total number of seats for both Room A and B = 392 seats
Step-by-step explanation:
From the above question, we are told that :
A movie theater has two rooms.
Room A has 7 rows of seats with 14 seats in each row.
Hence, the total number of seats in Room A = Number of rows × Number of seats in each row
= 7 × 14 seats
= 98 seats
Room B has three times as many seats as room A.
Room B = 3 × Room A
= 3 × 98 seats
= 294 seats
How many seats are there in both rooms?
Number of seats in Room A = 98 seats
Number of seats in Room B = 294 seats
Total number of seats for both Room A and B
= 98+ 294
= 392 seats