Answer:
[tex]s(p) =\frac{77p}{1075}[/tex]
Step-by-step explanation:
Given
s = sales tax
p = retail price
The variation is represented as:
[tex]s\ \alpha\ p[/tex]
s = 12.32 when p = 172.
Required: Determine function s(p)
[tex]s\ \alpha\ p[/tex]
Convert to equation
[tex]s = kp[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k =\frac{s}{p}[/tex]
Substitute values for s and p
[tex]k =\frac{12.32}{172}[/tex]
Multiply by 100/200
[tex]k = \frac{1232}{17200}[/tex]
Simplify:
[tex]k =\frac{77}{1075}[/tex]
To get the function, we substitute 77/1075 for k in:[tex]s = kp[/tex]
[tex]s =\frac{77}{1075}p[/tex]
[tex]s =\frac{77p}{1075}[/tex]
Express as a function
[tex]s(p) =\frac{77p}{1075}[/tex]
My sister and I are buying a television for our room. Because I am older, I will pay $45 more than my sister. If the television costs $299, then how much does my sister have to pay.
Determine whether the ratios are equivalent 6 : 10 and 12 : 20 ?
Answer:
Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.
Cassie has a total of 110 coins in her piggy bank. All the coins are quarters and dimes. The coins have a total value of $20.30. How many quarters and how many dimes are in the piggy bank?
Answer:
48 dimes and 62 quarters
Step-by-step explanation:
Find the x and y intercepts of this line:
-5x+4y=-18
Answer:
Step-by-step explanation:
x- intercepts: ( 18/5,0)
y- intercepts: ( 0,-9/2)
NEED HELP ASAP!!! for geometry class
Answer:
B) AAS
Step-by-step explanation:
B) AAS
Help me please!...ffddfdf
Answer:
Radius:3.5 or 7/2
Diameter:7
Step-by-step explanation:
The diameter is given, and the radius is half of the diameter because it's from the middle of the circle to the edge. Divide 7 by two and you get radius
Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees
Find the product (6x² + 2x)(x²+4x)
Answer:
6x⁴ + 26x³ + 8x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(6x² + 2x)(x² + 4x)
Step 2: Expand
FOIL: 6x⁴ + 24x³ + 2x³ + 8x²Combine like terms: 6x⁴ + 26x³ + 8x²Can some write the correct inequality graph below
Answer:
x≥-6
Step-by-step explanation:
What two numbers multiply to get -30 and add to get -7 ?
Answer:
3 and -10 to get 30
4 and -11 to get -7
Step-by-step explanation:
3 * -10 = -30
4 + (-11) = 4 - 11 = -7
HELPPPP DUEEE IN A FEW MINSSS PLS HELPPP
What is the slope of the equation y- 5 = -3x?
Answer:
-3/1
Step-by-step explanation:
It's always the x value over the y value, so whatever's in the x
Answer:
-3
Step-by-step explanation:
the equation is y=-3x+5, so m=-3
PLEASE HELP! PLEASE ALSO GIVE A GOOD EXPLANATION AND SHOW WORK! 45 points!!
Dalia is painting her room. After painting 1/10 of her room, Dalia has used 1/2 of a can of paint.
Select ALL of the true statements.
1. Painting 1/2 of Dalia's room requires 10 cans of paint.
2. Each can of paint will cover 1/20 of Dalia's room.
3. 3 cans of paint will cover 60% of Dalia's room.
4. Dalia's entire room requires 20 cans of paint.
5. Dalia's entire room requires 5 cans of paint.
Hence statement 3 and 5 are true from the equation given in question.
What is equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
Number of cans used 1/10 part of room = 1/2
No. of cans paints used 1 part = 1/2 / 1/10 = 5
∵ 1/2 can paint is used = 1/10
∴ 1 can paint used = (1/10)*2 = 1/5
∴ 5 cans = 100%
3 cans used = (3/5)*100 = 60%
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A triangle with side lengths of 15, 18, and 25 is a right triangle. True or False
The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the hiker's elevation is y=8.42x+800, where x represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the trend line to estimate the hiker's elevation after 145 minutes.
Answer:
685ik
Step-by-step explanation:
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plus the wat
5.6t
A $230 suit is marked down by 30%. Find the sale price.
Answer:
161
Step-by-step explanation:
69 is 30% of 230 so 230-69=161 is the answer.
Please show your work in the answers. Please answer the 3 questions I put.
There are 30 pieces of candy in a bowl and 6 of them are Twix. What percentage of pieces of candy in the bowl are Twix?
Select the trip that will take 3 hours.
a. A train goes 60 miles per hour between Springfield and Boston, which is 180 miles away.
b. You bike to McDonald's at 10 miles per hour, which is 5 miles away.
c. You drive 80 miles per hour to New York City, which is 320 miles away.
A bird flies 40 miles, but it has only completed 80% of its trip. How far was the trip?
Answer:
20%
a) a train goes 60 mph for 180 miles
50 miles
Step-by-step explanation:
6/30=.20 = 20%
180 miles divided by 60 mph=3 hours
80%x = 40 miles
.8x=40
.8x/.8=40/.8
x=50 miles
A given field mouse population satisfies the differential equation dp/dt=.4p-450 where p is the number of mice and t is the time in months.
(a) Find the time at which the population becomes extinct if p(0)=1075
Round your answer to two decimal places in months.
(b) Find the initial population Po if the population is to become extinct in 1 year.
Round your answer to the nearest integer.
Po= mice
Answer:
a) 7.78 months
b) 1116
Step-by-step explanation:
Given -
[tex]\frac{dP}{dt} = 0.4p-450[/tex]
Integrating the above equation with respect to time, we get -
[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]
let us define new variable x
[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]
substituting these values in above integral equation, we get -
[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]
[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]
at t = 0, P (0) = 1075, using this condition, we get -
[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]
Write the equation of the line that passes through the points (-3, 4) and (-3,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
x=-3
Step-by-step explanation:
y-4=(3-4)/(-3-(-3))(x+3)
y-4=1/(-3+3) (x+3)
y-4=1/0(x+3)
or x+3=0
x=-3
Does anyone know the answer and could you explain how you got your answer? THANK YOUU
Answer:
This would be a 60% increase
Step-by-step explanation:
40-25 and divided by 25 times 100
you should get 15/25 multiply it by 100=60%
Consider the function f(x)=(x^4)/4. Find f'(x).
Answer:
f'(x)=x^3
Step-by-step explanation:
f'(x)=1/4(4x^3)
=x^3
Polygon ABCD had the following vertices: A(-3,3), B(5,5), C(5,-4), and D(-3,-4)
ASAP PlEaSE
Answer:
I couldn't even understand the question
Step-by-step explanation:
I need the answer because I thought it was 39 but was not sure if 39 was the answer
Answer:
I believe you are correct
Step-by-step explanation:
hope I am right
Mhanifa please help I will mark brainliest
Answer:
36°90°Step-by-step explanation:
Question 1
x = 180° - 2*72° = 180° - 144° = 36°Question 2
x + 2(x/2) = 180°2x = 180°x = 90°Given m<2 = 55°, find the measure of each missing angle.
Answer:
1. m<1 = 125°
2. m<4 = 125°
3. m<6 = 55°
4. m<8 = 125°
Step-by-step explanation:
1. 180 - 55 = 125
2. 180 - 55 = 125
3. m<2 = m<6 , m<6 = 55°
4. m<4 = m<8 , m<8 = 125°
13.65 = h + 4.88 What the answer
Answer:
h = 8.77
Step-by-step explanation:
Isolate the variable, h. Note the equal sign, what you do to one side, you do to the other. Subtract 4.88 from both sides:
h + 4.88 = 13.65
h + 4.88 (-4.88) = 13.65 (-4.88)
h = 13.65 - 4.88
h = 8.77
8.77 is your answer for h.
~
Shade the number line to show 3/5 x 5/8
Answer:
15/40 = 3/8
Step-by-step explanation:
numerator x numerator & denominaror x denominaror
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
To shade the number line to show 3/5 x 5/8, we can first convert the fractions to decimals:
So,
3/5 = 0.6
5/8 = 0.625
Next,
We can multiply these decimals together to find the product:
= 0.6 x 0.625
= 0.375
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
If the number line extends from 0 to 1, with tick marks every 0.1, we can count over 3.75 tick marks from 0 and shade the point that corresponds to that location.
The shaded point should fall between 0.3 and 0.4 on the number line.
Thus,
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
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karl can flip 3 water bottles in 1/8 of a minute at that rate how many bottles can we expect him to flip in 1 minute
Answer:
Step-by-step explanation:
x/1=3/(1/8)
x=3(8/1)=24 bottles per minute
Please help ASAP will give Brainlyest answer :M/5=2
un numero entero y racional
Answer:
Los números racionales son aquellos números que pueden ser expresados como una relación entre dos enteros. Por ejemplo, las fracciones 1/3 y –1111/8 ambas son números racionales. Todos los enteros están incluídos en los números racionales, ya que cualquier entero z puede ser escrito como la relación z /1.
Step-by-step explanation: