Slope = -0.5
Y-intercept = 34
Equation: y = -0.5x + 34
Answer = It will take 16 days for the water level to be 26 feet.
The question is an illustration of a linear function.
The equation of the function is: [tex]\mathbf{y = 34- 0.5 x}[/tex]The number of days to reach 26ft is 16The given parameters are:
[tex]\mathbf{Level = 34ft}[/tex]
[tex]\mathbf{Rate = -0.5ft/day}[/tex]
The equation of the function is:
[tex]\mathbf{y = Level +Rate \times x}[/tex]
Where:
y represents the water level
x represents the number of days
So, we have:
[tex]\mathbf{y = 34- 0.5 \times x}[/tex]
[tex]\mathbf{y = 34- 0.5 x}[/tex]
A linear equation is represented as;
[tex]\mathbf{y = mx + b}[/tex]
So, by comparison:
[tex]\mathbf{Slope(m) = -0.5}[/tex]
[tex]\mathbf{y-intercept (b) = 34}[/tex]
When the water level is 26, it means y = 26.
So, we have:
[tex]\mathbf{y = 34- 0.5 x}[/tex]
[tex]\mathbf{26 = 34 - 0.5x}[/tex]
Collect like terms
[tex]\mathbf{26 - 34= - 0.5x}[/tex]
[tex]\mathbf{-8= - 0.5x}[/tex]
Divide both sides by -0.5
[tex]\mathbf{16= x}[/tex]
Rewrite as:
[tex]\mathbf{x = 16}[/tex]
Hence, the number of days to reach 26ft is 16
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A box of Cookies original cost $2. 15. It is on sale for 15% off. What is the cost of the cookies after discount ?
Answer:
$1.83
Step-by-step explanation:
$2.15 (original price of cookies) - 15% (discount) = $1.83 (rounded since the original total was: 1.8275)
Solve for v.
42 =3v- 15
Simplify your answer as much as possible.
Step-by-step explanation:
42=3v-15
We move all terms to the left:
42-(3v-15)=0
We get rid of parentheses
-3v+15+42=0
We add all the numbers together, and all the variables
-3v+57=0
We move all terms containing v to the left, all other terms to the right
-3v=-57
v=-57/-3
v=+19
Answer:
v= +19
Step-by-step explanation:
gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?
the answer is 5 dimes and 1 nickel.
hope this helps <3
Answer:
4 = dimes and 2 = five cents
Step-by-step explanation:
Which equation has a constant of proportionality equal to 999? Choose 1 answer: Choose 1 answer: (Choice A) A y=\dfrac{81}{3}xy= 3 81 xy, equals, start fraction, 81, divided by, 3, end fraction, x (Choice B) B y=9xy=9xy, equals, 9, x (Choice C, Checked) C y=3xy=3xy, equals, 3, x (Choice D) D y=\dfrac{1}{9}xy= 9 1 x
Answer:
Option (D) is correct
Step-by-step explanation:
If y is a multiple of x and versa, it will have a constant of proportionality.
Option (A)
y = (81/3)xy
y will cancel out
1=27x
It is not correct
Option (B)
y=9xy
y will cancel out
1=9x
Option (C)
y=3xy
y will cancel out
1=3x
Option (D)
y = (1/9) x
y will cancel out
x=9y
In option (D), we see that x is 9 times of x. It means it has constant of proportionality equal to 9.
The equation y = 9x represents the constant of proportionality which is equal to 9.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation can also be used to represent direct proportionality as -
y = mx
m = y/x
[m] is called constant of proportionality
We have the constant of proportionality equal to 9
The equation y = 9x represents the constant of proportionality which is equal to 9 as when compared with y = mx, we get m = 9.
Therefore, the equation y = 9x represents the constant of proportionality which is equal to 9.
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A line graph titled Meals per Day has number of days on the x-axis, and number of meals prepared on the y-axis. At 5 days there are 30 meals prepared; at 10 days, 60 meals; at 15 days, 90 meals; at 20 days, 120 meals.
Use proportional reasoning to find the constant of proportionality for the relationship shown on the graph.
Answer:
6
Step-by-step explanation:
30 meals ÷ 5 days = 6
60 meals ÷ 10 days = 6
90 meals ÷ 15 days = 6
120 meals ÷ 20 days = 6
Constant of proportionality is 6.
y = kx
y = 6x
Answer:
*6=answer
Step-by-step explanation:
5*6=30
10*6=60
etc
It part of a Law of Exponents
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos
Lisa and two friends shop at a bookstore. they each choose a book and share the cost equally among the 3 of them the total cost of the books is $27:00
A. create an equation that models the situation, using c to represent how much in dollars each person pays
B. how much does each person pay
Answer:
27/3=9 the answer is nine
Step-by-step explanation:
If 10^2=100,
10^3=1000
10^4=10000,
what is 1000^2/3
[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]
Solve the problem. Give the equation using x as the variable, and give the answer.
The product of 8, and a number increased by 7, is 112. What is the number?
The equation is
(Do not simplify.)
The number is
(Simplify your answer.)
Answer:
The equation is 8x+7=112
Step-by-step explanation:
the answer is 13.125
this is what i got. i am sorry if it is wrong.
What is the equation of the line that passes through the point (-3, 5) with a slope of 4?
y=4-7
O y-4x+17
O y= 4x+12
O y=47-17
o y = 4x+2
Answer:
y=4x+17
Step-by-step explanation:
y-b=m(x-a)
y-5=4(x--3)
y-5=4(x+3)
y-5=4x+12
y=4x+17
please quickly
4(1-x)+2x=-3(x+1)
Answer: x = −7
Step-by-step explanation:
Admission to a museum of natural history is 12.00 for adults and 6.00 for children. On a particular, day 500 people attend the museum. The museum collects 5,160 in admission
Answer:
Adult Admission: 215 Tickets $1,290
Child Admission: 385 Tickets $3,870
Step-by-step explanation:
Child:
5,160÷4=1,290
1,290÷6=215
Adult:
500-215=385
5,160-1,290=3,870
Hello there! Can someone help me with this and give me an expalination? I kinda get it but I still need a bit of help! And please provide the answer after your explaintion!
what is the domain or range of y = one-fourth x minus 6
Answer:
domain and range will be ( negative infinity, positive infinity
Does anyone else have the answer to tan
Answer:
What??
Step-by-step explanation:
-2(39% + **)+(855 + 2K)
Answer:
42711 /50
Step-by-step explanation:
Gina tracks the low temperatures for a city over six days. Identify the days colder than-1.75°F. Monday Tuesday Wednesday Thursday Friday -2.5°F -1.9°F 0°F -1.5°F 0.5°F
Answer:
Monday
Tuesday
Step-by-step explanation:
Given the temperature data:
Mon _____ Tue _____ Wed _____ Thur ___ Fri
-2.5°F ___ - 1.9°F _____ 0°F _____ - 1.5°F _0.5°F
Days colder than - 1.75°F
Days colder than - 1.75°F are days whereby the temperature value is less than - 1.75
Hence,
-2.5°F < - 1.75°F = (Monday)
-1.9°F < - 1.75°F = (Tuesday)
Hence, temperature on Monday and Tuesday is colder than - 1.75°F
Answer:
Monday
Tuesday
Step-by-step explanation:
Multiply the polynomials (3x+4)(5x+1)
Answer:
15x^2 + 23x + 4
Step-by-step explanation:
(3x+4)(5x+1)
You put them around a square, like in the picture.
You then cross multiply them.
After that, add all the numbers together.
Hope this helped!
Please help.
What is the solution to this system of equations?
3x + y = 17
x + 2y = 49
A.
It has no solution.
B.
It has infinite solutions.
C.
It has a single solution: x = 15, y = 17.
D.
It has a single solution: x = -3, y = 26.
Answer:
B. It has infinite solutions.
I believe so
Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?
Bus A runs every 6 mins
Bus B runs every 8 mins
What bus can she catch and what time?
Answer:
every 8 mins
Step-by-step explanation:
bus b
value of the 6 in 36,282.563?
Answer:
6,000 or 6 hundredths
Step-by-step explanation:
You are given a rectangular sheet of metal that is 32 inches by 24 inches. You are required to cut a lenght from each corner of the sheet so that you may fold up the ends and create a box. What is the domain of the function you will use to find the volume of the box? Explain your answer.
Answer: 768
Explanation In order to find the domain you have to multiple 32 by 24 which gives you 768.
Idk the rest to the table someone please help!
Given the function y=2x , which function represents a translation to the right of 4 units?
Answer:
A function represents a translation to the right of 4 units is y=2(x-4)
Step-by-step explanation:
We are given a function: [tex]y=2x[/tex]
We are supposed to find function represents a translation to the right of 4 units
Rule: f(x)→f(x-c)
When the graph is shifted to right by c units then f(x)→f(x-c)
Function y = f(x)=2x
After a translation to the right of 4 units using rule
f(x-4)=2(x-4)
So, A function represents a translation to the right of 4 units is y=2(x-4)
1/4 x 3
(in fraction form please)
Answer:
3/4
Step-by-step explanation:
1/4 x 3/1 = 3/4
Every whole number has a /1 under it! So when multiplying you do 1/4 x 3/1.
If you are confused, basically all you do is multiply 1 and 3 (numerators) then 4 and 1 (denominators)
The multiplication of 1/4 and 3 comes to be 3/4.
We know that every number has 1 in its denominator.
So, [tex]\frac{1}{4} *3[/tex] can be written as [tex]\frac{1}{4} *\frac{3}{1}[/tex]
How multiplication of two fractions take place?To multiply two fractions, multiply the numerator of the first fraction to the numerator of the second fraction followed by multiplication of the denominator of the first fraction to the denominator of the second fraction.
So, [tex]\frac{1}{4} *\frac{3}{1} = \frac{1*3}{4*1}[/tex]
[tex]\frac{1}{4} *\frac{3}{1} = \frac{3}{4}[/tex]
So, multiplication of 1/4 and 3 = 3/4
Therefore, the multiplication of 1/4 and 3 comes to be 3/4.
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Write y - 4 = 1 ( x - 4) in slope intercept form.
Answer:
y=x
Step-by-step explanation:
First, distribute the 1 to the x and -4. Both of these when multiplied by one equal their original value, leaving you with y-4=x-4.
Then, to isolate the y, you add 4 to both sides. This leaves you with simply y=x.
The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?
А-120 cubic units
B-30 cubic units
C-100 cubic units
D-45 cubic units
The volume of box at x = 4 is, 100 cubic units
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
The volume of the box is modeled by the function,
⇒ V (x) = 5x² + 5x
Now, At x = 4;
The volume of the box is,
⇒ V (x) = 5x² + 5x
⇒ V (4) = 5 × 4² + 5 × 4
⇒ V (4) = 5 × 16 + 20
⇒ V (4) = 80 + 20
⇒ V (4) = 100 cubic units
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The sum of two numbers is x. If one of the numbers is 12, what is the other?
a. 12 x
b. 12 - x
c. 12 + x
d. x - 12
Answer:
D
Step-by-step explanation:
The question states that the sum of two numbers is x, and they give us one number which is 12. We know that 12 + 12x cannot equal x. We also know that 12 + 12 + x = x will cancel out the variable. Then, we can eliminate B, as the questions stated that the sum of two numbers is x, and they gave us one number of x. We know that the other number will be the unknown value minus 12, because 12 + x - 12 = x will simplify into x = x, which is true.
2. The Length of a rectangle is (x+5) and the area
x²+7x+10. What is the width ?
Answer:
Step-by-step explanation:
(x+5)(x+2)/(x+5)= x+2 is the with