Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them to their homes. Each year, she has increased her fee by the same amount. The table shows what Sarah charged each customer for two given years of her business:
Year Annual Dog-walking Fee
2010 $350
2014 $750
A. What is the rate of change and initial value for Sarah’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Sarah charges each year.
Answer:
Step-by-step explanation:
A. The Initial value is the starting value of her business which can be considered $350 since that is what she made the first year. The Slope can be calculated by subtracting the end profit from the initial profit and then dividing by the result of subtracting the end year by the initial year like so...
$350 initial value
[tex]\frac{750 - 350}{2014 - 2010} = \frac{400}{4} = \frac{100}{1 year} =[/tex] $100 a year increase
B. The equation for this scenario would be y = 100x + 350
Answer:
100 each year and y=100x+350
Step-by-step explanation:
If Jessica split 75 pencils between 8 people in her class and kept the leftovers, how many pencils did each classmate get?
Answer: Each classmate got 9 pencils
Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.
I need help pls help
Answer:
I could be wrong, but I think it's D
A car travels 80 millimetres in 2 1/2 hours . What is it speed in kilometres per hour
Answer:
32 Kilometers
Step-by-step explanation:
A Car travels 80 Kilometers in 2 and Half hours.
1 Hour =60 minutes, 2 & Half hours= 2.5*60= 150 minutes
Kilometers travelled by Car in a hour= 80/150*60= 32 Kilometers
Systems of equations with different slopes and different y-intercepts have one solution.
Never
Sometimes
Always
Answer:
never
Step-by-step explanation:
I need help with #2 help if u can
Answer:
Step-by-step explanation:
G
Triangle MAT is isosceles, angle A is the vertex angle, AT = 8x-3, MT = 2x+3 and MA=5x+15. Find the value of x and the indicated measures.
Please solve step by step to help me understand. Thanks!
Answer:
x=6, AT=45, MT=15, MA=45
Step-by-step explanation:
Because it is isosceles, MA=AT, so 8x-3=5x+15, solve for x and then plug it into the equations.
What is 600 divided by 70?
Answer:
8.5714285714
Step-by-step explanation:
round as you must
Answer:
8.571
Step-by-step explanation:
600/70
= 60/7 (cancel the zeroes)
= 8.571
HELP PLEASE ANSWER NOW
Solve the following system of equations algebraically using the ELIMINATION METHOD. Show all work.
x-3y=1
3x-5y=11
Answer:
(7,2)
Step-by-step explanation:
Multiply the first equation by -3
(x-3y=1) = -3x+9y=-3
Combine like terms with the new equation and the second equation
(-3x+9y=-3) + (3x-5y=11) = 4y=8
Divide each side by 4
4y/4=8/4
y=2
Plug in 2 for y in any equation. It doesn’t matter which one
x-3(2)=1
Distribute
x-6=1
Add 6 to both sides
x-6=1
+6 +6
x=7
Answer: x = 7 y = 2
(7, 2)
Step-by-step explanation:
Multiply the first equation by -3 and the second by 1:
-3(x - 3y = 1)
1(3x - 5y = 11)
Becomes:
-3x + 9y = -3
3x - 5y = 11
Add the equations to eliminate x:
-3x + 9y = -3
3x - 5y = 11
4y = 8
Solve for y by dividing by 4:
4y/4 = 8/4
y = 2
Now we plug in y to the first equation:
x - 3 ( 2 ) = 1
x - 6 = 1
Add 6 to both sides:
x - 6 + 6 = 1 + 6
x = 7
Caleb has driven 820 miles of his road trip. He has 20% of his trip left to go. How many miles does he have left to go? Need asp
im really confused i hope this doesnt take to much time please help it would me so much to me.
Katie wants to buy a bicycle that costs $200. This is
$20 more than twice what she saved last month. How
much did she save last month?.
Find the number.
Step-by-step explanation:
Multiply both the numbers
200 × 20
(4000) Answer
for each line, determine whether the slope is positive, negative, zero or undefined. (this is homework.)
Answer:
I think 1 is negative, 2 undefined, 3 negative, 4 positive
Step-by-step explanation:
Answer:
1. zero
2. undefined
3. negative
4. positive
Question 3
Simplify the expression by combining like terms
Expression: 8y + 14x - 7y2 - 15x + 3y
Like Terms: I
Simplified Expression:
Answer:
-7y^2-x+11y
Step-by-step explanation:
Can you please help me?
Answer:
[tex]\frac{20}{36}[/tex]
Step-by-step explanation:
the total amount of squares within this square is 36
and the number of shaded squares would be 20
so if 20 squares out of 36 squares are shaded, then the fraction is
[tex]\frac{20}{36}[/tex]
or 55.56%
(to find percentage multiply [tex]\frac{20}{36}[/tex] by 100)
Answer:
5/9
= 55.56% ( to the nearest hundredth).
Step-by-step explanation:
The total number of little squares in the large square = 6*6 = 36.
Total number of shaded squares = 2*6 + 2*4
= 12 + 8 = 20.
So the fraction of shaded part
= 20/36
= 5/9.
As a percentage this is 5*100/9
= 55 5/9%
= 55.55..... %
Help please I don’t know it
Answer:
Step-by-step explanation:
sinC = 12/13
cosA = 12/13
Which set of ordered pairs represents y as a function of x?
A (0, 0), { (−1, 2), (−1, −2), (−2, 4), (−2, −4)}
B {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}
C {(0, 0), (0, 1), (0, 2), (0, −1), (0, −2)}
D {(0, 0), (−1, −0.5), (−2, −1), (−3, −1.5), (−4, −2)}
Answer:
The answer to the question would be D
Plot the points (-3,-4) and (6,-4) on the coordinate plane below.
What is the distance between these two points?
units
y
9-
8
7
6-
4-
3-
2-
11
H
{}
-9-8-7-6-5-4-3-2
1 2 3 4 5 6 7 8 9
-34
14
-5-
-6-
-7-
18
Answer:
d = 9
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-3, -4) and (6, -4)
d=√((6-(-3))²+(-4-(-4))²)
d=√((6+3))²+(-4+4))²)
d=√((9)²+(0)²)
d = √81
d = 9
Can someone please help? I'll mark brainliest! :)
Answer:
D
Step-by-step explanation:
[tex]8x - 2 < - 4(x - 1) \\ 8x - 2 < - 4x + 4 \\ 8x + 4x < 4 + 2 \\ 12x < 6 \\ x < \frac{1}{2} [/tex]
If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is the density of vegetable plants in the garden?
a. 1.61 vegetable plants per square foot.
b. 2.53 vegetable plants per square foot.
c. 2.40 vegetable plants per square foot.
d. 0.42 vegetable plants per square foot.
Answer:its D
Step-by-step explanation:
took the test
What is 9/7 divided by 3/4?
Answer:
12/7 or E
Step-by-step explanation:
Answer: 1 5/7
Step-by-step explanation:
Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?
Answer: 2/5 feet
Step-by-step explanation:
From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.
The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:
= 8/10 ÷ 2
= 8/10 × 1/2
= 8/20
= 2/5
Therefore, each person gets 2/5 feet of rope.
(In picture) “Explain how you know you know using proportional lengths”
9514 1404 393
Answer:
yes
Step-by-step explanation:
If GH║FE, then ∆DEF ~ ∆DHG.
In similar triangles, corresponding sides have the same ratios.
The ratios of corresponding sides are ...
DG/DF = DH/DE
DG/(DG + GF) = 18/(18+36)
(1/2GF)/((1/2GF +GF) = 1/3
(1/2)/(3/2) = 1/3
1/3 = 1/3
Corresponding sides are proportional. Angle D is congruent to itself, so ∆DEF ~ ∆DHG by the SAS similarity postulate. Angles DGH and DFE are therefore congruent and GH║FE.
16 1/4 divided by 3.25
Someone pls help
Answer:
20
Step-by-step explanation:
16 1/4 ÷ 3.25
16×4=64+1=65
65/3.25=20
Answer:
The answer is 5.
Step-by-step explanation:
you do this by converting the decimal 3.25 into a fraction. This would equal 3 1/4 (simplified) now since that both fractions have the same denominator we can solve by dividing the fractions.
When you cut a pyramid straight up and down, what shape is your cross section?
Answer:
The cross section of a pyramid that is perpendicular to the base will be a triangle.
Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
Answer: 37ft^2
Step-by-step explanation:
Create two separate figures. A full square 3x3 and a rectangle 7x4.
The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft
Area of 3x3 square = 3^2 = 9ft^2
Area of 7x4 rectangle = 7x4 = 28ft^2
28+9= 37ft^2
find the diameter of the circular garden whose circumference is 124.03 cm
Answer:
[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]
Solve for diameterd = 39.48hopefully help:)
Step-by-step explanation:
✨use #CarryOnLearning to help our medical frontliners✨
#CarryOnLearningAshley is deciding between two jobs.
Job A pays $2000 a month with a
monthly raise of $85. Job B pays $2000
a month with a monthly raise of 4%.
a. Write a function to represent the
monthly salary for job B.
Answer:
job A because 4% of 2000 is 80 and job A is 5 dollars extra
Find the value of x.
Answer:
The answer is 148 or D
Step-by-step explanation:
The line has 180 degrees total, to find the answer you subtact 32 from 180. This leaves you with 148.
Answer: x = 148°
Step-by-step explanation: All supplementary angles equal 180°. So you subtract 32° from 180° (180°-32°) and get your answer.
Help me I have time plz!!
Answer:
D
Step-by-step explanation: