Answer:
Step-by-step explanation:
from the question, we are told that Lisa bakes 3dozens cupcakes every hour, to know the amount she makes in h hours, we will use the equality postulate as shown;.
3 dozens = 1hour
n(h) = h hour
Cross multiply
n(h) × 1 = 3×h
n(h) = 3h
Hence the function that models the number of cupcakes Lisa makes in h hours is n(h) = 3h
To get the cost function in terms of hours, we will find the composite function C(n(h))
C(n(h)) = C(3h)
Given C(n) = 60 + 0.45n
C(3h) is derived by substituting n as 3h in the function as shown;
C(3h) = 60+0.45(3h)
C(3h) = 60+1.35h
Hence the cost function in terms of hours, h, is given by 60+1.35h
To get the cost for making cupcakes for 2 hours, we will substitute h = 2 into the expression C(h) = 60+1.35h
C(2) = 60+1.35(2)
C(2) = 60+2.70
C(2) = 62.70
Hence the cost for making cupcakes for 2 hours is $62.70
Answer:
The function that models the number of cupcakes Lisa makes in h hours is n(h) = 36h. The cost function in terms of hours, h, is given by 60 + 16.2h. Lisa's cost for making cupcakes for 2 hours is $92.40
.
Step-by-step explanation:
round off 572 389 correct to three significant figure
572000 or 5.72×10^5
Step-by-step explanation:
depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct
On a bicycle, you can travel 20 miles in 4 hours. At this
same rate, what distance can you travel in 6 hours?
Answer:
30miles
Step-by-step explanation:
You go 5 miles everyone 1 hour (you can find this out by dividing 20 by 4)
5 multiplied by 6 equals 30
20÷4=55×6=30The multiplicative inverse of 5 and 10-5k
Which value of x satisfies the equation
5/6 (3/8 - x)
= 16
Answer:
[tex]x = - 18.825[/tex]
Step-by-step explanation:
[tex] \frac{5}{6}( \frac{3}{8} - x)
= 16 \\ \frac{(5)(3)}{(6)(8)} - \frac{5x}{6} = 16 \\ 15 - 40x = 768\\ 40x = 15 - 768\\ x = - 18.825[/tex]
The value of x for the equation to be equal is- 40/753
Solution to linear equationGiven the linear equation expressed as:
5/6 (3/8 - x) = 16
Open the parenthesis
5/16 - 5/6x = 16
Collect the like terms
-5/6x = 16 - 5/16
-5/6x = 251/16
Cross multiply
1506x = -80
x = -80/1506
x = -40/753
Hence the value of x for the equation to be equal is- 40/753
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Describe the transformation of y=f(x) for the new function f(x)=2/3|x-7|
Answer:
Stretch of 2/3, right by 7
Which equation is true when k= -15
Answer:
k over 3 +17 =12
Step-by-step explanation:
-15/3=-5
-5+17=12
A company that manufactures dishwashers is testing their latest product to see how long it takes to cool down once a cycle is complete. The function, f(x) = 360 - 15x, represents the cooling cycle, where x is equal to the number of minutes and f(x) is equal to the temperature of the dishwasher after x minutes.
Step-by-step explanation:
Given that the function for the temperature of the dishwasher is
f(x) = 360 - 15x
We are told that x represents the number of minutes it takes to cool down.
with a given/known value of x we can predict the temperature of the dishwasher.
Say x=12 minutes, we can tell what the temperature will be after 12 minutes
by plugin in the value of x=12 in the expressions for the temperature
f(x) = 360 - 15(12)
f(x) = 360 - 180
f(x) = 180
The temperature after 12 minutes will be 180°
Simplify 4^3* 4^5 please help me
Answer:
C.
Step-by-step explanation:
add the numbers (power numbers)
=4^8
Question 1 of 10 The slope of the line below is - Write a point-slope equation of the line using the coordinates of the labeled point.
Which equation represents a line that passes through the two points in the table? x3,6 y 1,6
The lines is represented by (D)
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides.
As, the solution given:
put x=3
y-1 = 0
y=1
Similarly, x= 6
y-1= 5/3 * (3)
y-1 = 5
y=6
Hence, the lines represent y-1 = 5/3 ( x- 3)
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Answer:y-1 = 5/3 ( x- 3)
I will brainlist whoever gets it right.
The results of a swim meet are shown. Who swam faster? Explain your reasoning.
Name: /Event: /Time:
Tawni / 50-m Freestyle / 40.8
Pepta / 100-m Butterfly / 60.2
Susana / 200-m Medley / 112.4
Answer:
Susana
Step-by-step explanation:
divide the m by the time to get how many mps
50/40.8=1.225 mps
100/60.2=1.661 mps
200/112.4=1.779 mps
jacek went to a sporting event with some friends. They bought 2 sticks of equal price and a drink that cost $3.51. Write an equation to represent cost T and the cost s of each snack bought. How much did each snack cost if they spent $18.83 total?
Answer:
T + S = 18.33.
Step-by-step explanation:
If T is the cost of the drink and S is the cost of the snacks, then its easy.
The cost of the drink plus the cost of the snacks.
x-4 is greater than -8 in interval notation
Answer:
x
−
4
=
−
8
=
Step-by-step explanation:
f(x) = -2x + 5
f ( ) = 13
Answer:
Okay, I haven't done this a long time however I believe with this you have to solve the equation by doing substitution.
Step-by-step explanation:
so, if f (x) equals 13, you replace the x in the equation to 13.
f(x)=-2x+5
f(x)=-2(13)+5
f(x)=26+5
f(x)=31
I believe 41 would be your answer. Hope this is right and it helped!
Please help it's urgent!
Solve for r: S = 4pier^2
Answer: i cant type it but take the images- hope that helps
Step-by-step explanation:
A rancher built a cattle fence in the shape of a triangle.
From one corner, the fence will go 200 yards south.
Then, the fence will turn at a right angle and go 120 yards west.
From there, the fence goes straight back to its starting point.
To the nearest yard, how much fencing did the rancher use?
Answer:
it is 480 yards!
Step-by-step explanation:
Answer:
480
Step-by-step explanation:
issac is a clothing salesman working on straight commission. He sold $1311
this week and gets 9% commission. How much did he earn?
Answer:
Isaac earned $117.99 this week
Step-by-step explanation:
Percentages
The N% of a quantity M is calculated as follows:
N * M / 100
Isaac earns a 9% commission for his sales.
This week he sold $1,311, thus his commission is:
9 * 1,311 / 100 = 117.99
Isaac earned $117.99 this week
please help! click on pic.
Answer:
119
Step-by-step explanation:
62+57
Yall can you answer this.
how do you combine like terms
Answer: you add them up
Step-by-step explanation:
Explanation:
Combining like terms is commonly used to solve algebraic expressions. Like terms are those species or variables that are the same in any algebraic representation.
Different mathematical operations can be performed on like species. We can add, divide, multiply, subtract, factorize, etc those terms.
Take for example;
Solve;
5x + 3 = 4x + 6
To solve this simply collect the like terms;
5x and 4x, 3 and 6 are like terms
5x - 4x = 6 - 3
x = 3
This is one way of solving problems by collecting like terms.
For the function, f(x) = 2x + 1. If f(x) = 3, what is the value of x?
A. 2
B. 1
C. 7
D.0
Answer:
B. (1) is the value of x
Step-by-step explanation:
Answer:
i got -0.5
Step-by-step explanation:
PLEASE HELP !!
Which graph shows a constant of proportionality of 2?
Answer:
Im pretty sure its C
Step-by-step explanation:
Hope you get it right! :)
The constant of proportionality of a line is also referred to as its slope. The graph shows a constant of proportionality of 2 is the Graph C
Constant of proportionalityThe constant of proportionality of a line is also referred to as its slope. Hence according to the question, we are to determine the line that has a slope of 2.
The formula for calculating slope of a line is expressed as:
Slope = y2-y1/x2-x1
Using the graph with coordinate points (3, 6) and (1, 2). The slope of the line is expressed as:
Slope = 2-6/1-3
Slope = -4/-2
Slope = 2
Hence the graph shows a constant of proportionality of 2 is the Graph C
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Which of the following real numbers is NOT and irrational number?
A 35
B 51
C 29
D 49
Answer:
B
Step-by-step explanation:
cause i said so
7.82 change the decimals to fractions reduced to lowest terms.
Answer:
7.82 = 391
50
= 741
50
as a fraction
To convert the decimal 7.82 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
7.82 = 7.82
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
7.82
1
= (7.82 × 100)
(1 × 100)
= 782
100
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(782,100) = 2. So,
(782÷2)
(100÷2)
= 391
50
when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 782
100
is also equal to 741
50
when expressed as a mixed number.
Step-by-step explanation:
Answer:
7.82
20
Step-by-step explanation:
hope this helps
Jenny is a software salesperson. Her base salary is $ 1500 and she makes $50 more for every copy of English is Fun she sells. Her total pay, P (in dollars), after
selling c copies is given by the following.
P = 50c+1500
oo
Answer the following questions.
B
(a) What is Jenny's total pay if she sells 21 copies?
si
(b) If Jenny's total pay is $3150, how many copies did she sell?
copies
4. Which is NOT a way in which thermal energy is transferred? A. Conduction , B. Convection , C. Radiation , D. Sublimation
WILL MARK BRAINLIEST!!
Answer:
Convection
Step-by-step explanation:
Conduction means the heat energy is being transferred .Hence its not the ansRadiation is a process happened in radioactive elements like radium,uranium etc by which they release beta or alpha particles.Sublimation happens like a solid converted to gas or gas converted to solid directly.The correct option is C Radiation.
Conduction means transfer of energy (heat) arising from temperature differences between adjacent parts of a body.
Convection is the transfer of thermal energy by the physical movement of fluid (liquid, gas, or plasma) from one location to another.
Radiation is an electromagnetic radiation that is emitted by a body as a result of its temperature. All objects with a temperature above absolute zero emit thermal radiation in a spectrum of wavelength.
Sublimation is the process of changing a solid into a gas without passing through the liquid phase. To sublime a substance, a certain energy must be transferred to the substance via heat (q) or work (w).
Hence from all the above definitions it is clear that every phenomenon except radiation transfer some amount of thermal energy.
Hence through Radiation thermal energy is not transferred.
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Help me please and thanks
Harry adds 18 more toy cars to his collection is it postive or negative
Step-by-step explanation:
negative it is hope it helps
Answer:
I believe if it has the word 'adds' it's positive.
Stonebridge neighborhood garage sale had these cash receipts for 5 days: $136.97, $256.21, $366.10, $176.04, $72.49. What were the total cash receipts?
Answer:
5039.05
Step-by-step explanation:
Add everything and then multiply by 5
Answer:
5039.05
Step-by-step explanation:
Please help me the picture is above I’ll mark you as the brainliest but please show the work. Thank you! :)
a) whatever is in the bracket you substitute into x.
c(100) = (1.25*100) + 2175
= 125 + 2175
= 2300
Another exmaple: if it says c(2 + x) then you substitute that into x
→ 1.25(2 + x) + 2175 (and then expand that)
b) A physical interpretation of this could be:
For every 1.25 w-widget that is produced, you would add $2175 for the other costs. (something like that)