Answer:
The function is represented by [tex]C(d) = 75\,USD + r\cdot d[/tex].
Step-by-step explanation:
In this case, we must observe that total cost of the dog ([tex]C(d)[/tex]) is the sum of two components: i) Fixed cost ([tex]C_{f}[/tex]) - Adoption fee, ii) Variable cost ([tex]C_{v}[/tex]) - Daily cost of feeding the dog, both measured in US dollars.
In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:
[tex]C (d) = C_{f} + C_{v}[/tex]
[tex]C(d) = C_{f} + r\cdot d[/tex]
Where:
[tex]d[/tex] - Number of days that Kirstin owns her dog, measured in days.
[tex]r[/tex] - Daily feeding costs, measured in US dollars per day.
If [tex]C_{f} = 75\,USD[/tex], then:
[tex]C(d) = 75\,USD + r\cdot d[/tex]
The function is represented by [tex]C(d) = 75\,USD + r\cdot d[/tex].
3(x-1)-8=4(1+x)+5 solve for x
Answer:
x = -20Step-by-step explanation:
Distribute
3x - 3 - 8 = 4 +4x + 5
Combine like terms
3x-4x = 4 + 5 + 8 + 3
-x = 20
x = -20
Answer:
x = -20
Step-by-step explanation:
3(x - 1) - 8 = 4(1 + x) + 5
3x - 3 - 8 = 4 + 4x + 5
3x - 11 = 4x + 9
3x = 4x + 20
-x = 20
x = -20
Best of Luck!
Is 1 2/6 an irrational number
Answer:yes
Step-by-step explanation:
What is the quotient
-3/8 ➗-1/4
A -1 1/2
B -3/33
C 3/32
D 1 1/2
Pls help
Answer:
The answer is A
Step-by-step explanation:
-3/8 divided by -1/4 = -1.5 (in fraction form it is -1 1/2)
solve for x: 1/3 (2x-8) = 4
2x-8=12 2x=12+8
2x=20 x=20÷2
x=10
Answer:
10
Step-by-step explanation:
1/3 (2x-8) = 4
1/3 ×2x - 1/3 ×8 = 4
2x/3-8/3=4
2x-8 /3=4
2x-8=4×3
2x-8=12
2x=12+8
2x=20
x=20/2
x=10
43.82 divided by 7.4
Answer:The answer is 2191/370
Answer:
5.92297297297...
Step-by-step explanation:
First, I made it into a fraction and multiplied the numerator and denominator by 10: [tex]\frac{43.82}{7.4}[/tex]
Then I put it into long division format and solved.
So, these are the following steps that I did:
1. Divide 438 by 74 to get 5.
2. Multiply the quotient digit left (5) by the divisor 74.
3. Subtract 370 from 438, add a decimal point to the solution, and divide to find the remainder.
In the end, I got 5.92297297297... [ 297 will continue to repeat so this is a repeating decimal. ]
is π + 24 rational or irrational
Answer:
Irrational
Step-by-step explanation:
As pi=3.141...
pi+24=27.141....
Write an equation for the description.
Tanmayi wants to raise $170 for a school fundraiser. She has raised $140 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Answer:
She needs $30.
Step-by-step explanation:
170 minus 140 is 30.
Given the Isotope Chlorine-38, determine which of the following statements
are correct.
1. It has an atomic mass of 35 amu.
2. There are 17 protons in the nucleus of its atom.
3. There are 21 electrons in the nucleus of its atom.
4. There are 21 neutrons in the nucleus of its atom.
5. It has an atomic number of 17.
A. All are correct
B. only 1 and 2
C. only 2, 4 and 5
D. only 1
E. only 2 and 5
Answer:
Step-by-step explanation:
A
21 = -4h +13-h
Send help:(
Answer:
h = -8/5
Step-by-step explanation:
21 = -4h +13-h
simplify the right side
21 = -5h + 13
subtract 13
21 = -5h + 13
-13 - 13
8 = -5h
divide by -5
8 = -5h
/-5 /-5
[tex]-\frac{8}{5} = h[/tex]
4(x-7)=2x-6 (show work)
Answer:
x = 11
Step-by-step explanation:
Given
4(x - 7) = 2x - 6 ← distribute parenthesis on left side
4x - 28 = 2x - 6 ( subtract 2x from both sides )
2x - 28 = - 6 ( add 28 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
simplify
(8-2) a + 9b - (3+2) a + 10
Answer:
a+9b+10
Step-by-step explanation:
use foil method
simplify the expression 3/4(1440)+295.25+(-33.50)
Answer:
1341.75
Step-by-step explanation:
Ms. Morgan received $50 for being awesome, and then spent $15 on a new pair of Disney ears. What percentage of her earnings did Ms. Morgan spend? And what did the new Disney ears look like? (remember, set up your problem like a ratio, reduce, then solve)
Answer:
Mrs Morgan spent 30% of her earnings.
Step-by-step explanation:
The percentage of her earnings did Ms. Morgan spent is calculated as:
Amount spent/ Total amount of money× 100
$15/$50 × 100
= 30%
Therefore, Mrs Morgan spent 30% of her earnings.
The new disney ears looked lovely.
3) 10 - 1 * 10 / 5 Can Someone Explain How To Solve This Problem For A Example
Measure the distance from point A to points B, C, and D. Round to the nearest eighth of an inch. Reduce if possible.
Answer:
if its on a coordinate plane the formula would be:
√(2x-1x)²+(2y-1y)²
Step-by-step explanation:
so if the coordinates were
A= (-3,2)
B= (4,2)
C= (4,-1)
D= (-3,-1)
for A to B it would be
√(4 - (-3)² + (2-2)²
√(7)² + (0)²
√(7·7) + (0·0)
√49+0
√49
or
7
I hope the explanation helped
Hot chocolate is made with milk warmed to 172∘F with an error tolerance of 6%. What is the acceptable temperature range for milk when making hot chocolate?
Answer:
161.68°F to 182.32°F
Step-by-step explanation:
6%=6/100= 0.06
0.06×172=10.32°F
thus temperature ️ range is
(172 + or - 10.32)°F
If 2x + 7 = -21, what does 2 - x equal?
Answer:
16
Step-by-step explanation:
First, we solve for x.
[tex]2x+7=-21\\2x=-28\\x=-14[/tex]
We now evaluate 2-x, plugging in -14 for x.
[tex]2-x\\2-(-14)\\2+14\\16[/tex]
12.5
Step-by-step explanation:2x+7=-21
2x+7-7=-21-7
2x=-28
2x/2=-28/2
x=-14
2-x=?
2-(-14)
2+14=16
Hope this helped!
x+5y=5
Convert from the given standard form of a linear equation to the slope-intercept form of a linear equation
Answer:
y=-1/5x+1
Step-by-step explanation:
divide both sides by 5: 1/5x+y=1
subtract 1/5x so y is alone since slope-intercept has y=mx+b: y=-1/5x+1
The slope-intercept form of the line x + 5y = 5 is y = - (1/5)x - 1.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, An equation of a line in the standard form x + 5y = 5.
We know the equation of the slope-intercept of the line is y = mx + b.
Therefore, The slope-intercept form of the equation x + 5y = 5 is,
5y = - x - 5.
y = - (1/5)x - 1.
learn more about lines and slopes here :
https://brainly.com/question/3605446
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4) A baby weighed 7.2 pounds at birth and 9.0 pounds at the age of one
month. What was the percent increase? (Round to the nearest whole
percent)
Answer:
Step-by-step explanation:
Hopes this helps!
Answer:
25%
Step-by-step explanation:
9.0 - 7.2 = 1.8
(1.8 ÷ 7.2) × 100 = Answer %
Solve for x and find de mesures of Angule B
Answer:
x=9.4
b=77.2
Step-by-step explanation:
a+b=180
as they are interior angles
(6x-48)+(4x+38)=180
6x-48+4x+38=180
6x+4x+38-48=180
10x+86=180
10x=180-86
10x=94
x=94/10
x=9.4
b=(4x+38)
b=4x+38
b=4(9.8)+38
b=39.2+38
b=77.2
Pleasssseeee answer........
Simplify: 9log9(4) =
A. 3
B. 4
C. 9
D. 81
If f(x) = -2x2 + 8x - 4, which of the following is true?
A. The maximum value of f(x) is - 4.
B. The graph of f opens upward.
C. The graph of f has no x-intercept
D. f is not a one to one function.
Answer:
B and D
Step-by-step explanation:
Have a nice week!
(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧ ✧ﾟ･: *ヽ(◕ヮ◕ヽ)
Solve each equation for the specified variable
Answer:
[tex]p2 = \frac{p1v1}{v2} [/tex]
Step-by-step explanation:
You want to get P2 alone
P1V1=P2V2
V2 V2
P1V1=P2
V2
Two galaxies are shown. Galaxy U: Dust, gas, and stars in the shape of a pinwheel, relatively small in size. Galaxy NGC 1427A: Dust, gas, and stars in a nonuniform arrangement spread out over a large area. How are NGC 1427A and U different? How are they the same?
Answer:
NGC 1427A has no general shape, so it is an irregular galaxy. U has a bulge in the center and arms, so it is a spiral galaxy. They are similar in that both contain plenty of dust and gas. Both also have active star-forming sites.
Step-by-step explanation:
NGC 1427A is an irregular galaxy with no discernible shape. The spiral galaxy U has a bulge in the middle and arms.
What is a galaxy?A galaxy is a massive clump of gas, dust, and billions of stars and their solar systems bound together by gravity.
The first galaxies were discovered in the 17th century by Charles Messier, who had no idea what they were at the time.
Messier, a proficient comet viewer, noticed many more fuzzy objects in the sky that he knew were not comets.
We would discover 64 galaxies the size of the Milky Way in a cube that now holds one galaxy the size of the Milky Way.
NGC 1427A is an irregular galaxy because it lacks a general shape. U is a spiral galaxy, since it contains a bulge in the center and arms.
They are comparable in that they both have a lot of dust and gas. Both have active star-formation sites.
Hence, they are comparable in that they both have a lot of dust and gas.
To learn more about the galaxy refer to the link;
brainly.com/question/2905713
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4/7 as a decimal rounded to 3 places
Answer:
0.571
Step-by-step explanation:
Answer:
0.571
Step-by-step explanation:
divide 4 and 7
Please help!! ASAP!!
Answer:
The scientific notation will be Letter D
solve the equation for x
Answer:
[tex]\bold{x=\frac{-6+z}6=-1+\frac z6}[/tex]
Step-by-step explanation:
[tex]\bold{x-6+5x=-12+z}\\{}\quad +6\qquad\quad\ +6\\{\quad}\bold{6x\ =\ -6+z}\\{}\quad\div6\quad\ \ \div6\\{}\quad \bold{x=\frac{-6+z}6=-1+\frac z6}[/tex]
What is the sum of 3.026 and 25.87?
Answer:
28.896
Step-by-step explanation:
3.026 + 25.87
28.896
Best of Luck!
Answer:
28.896
Step-by-step explanation:
just add 3.026 and 25.87 together
if someone could please help that would be great <3
Answer:
BD = 12
Step-by-step explanation:
For every 14 litres of petrol a car can run for 70 km. How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 126 km
Answer:
25.2
Step-by-step explanation:
14litres : 70 km
? : 126km
126/70 = 1.8
14 x 1.8 = 25.2
25.2 litres of petrol
please mark as brainliest. thank you
Answer:
25.2 litres
Step-by-step explanation:
using proportion
let the amount of petrol we are searching for be x
14litres/xlitres =70km/126km
cross multiply
70x=126×14
70x =1764
x=1764/70
x=25.2litres
Calories burned varies directly to miles run. Dustin burns 190 calories for every 2 miles he runs. Part 1: Find the value of k. Part 2: Write the equation for the direct variation. Part 3: Find how many calories Dustin will burn after running 7 miles.
Answer:
C = km
k = 95
C = 665
Step-by-step explanation:
Calories burned varies directly to miles run.
Let
C = calories burned
m = miles
C = km
Dustin burns 190 calories for every 2 miles he runs
C = 190
m = 2
C = km
190 = k2
Divide both sides by 2
k = 95
equation for the direct variation.
C = km
Find how many calories Dustin will burn after running 7 miles.
C = ?
m = 7
k = 95
C = km
C = 95 × 7
= 665
