Answer:
The function is:
y = 150*x
where y is the number of calories consumed, and x is the number of pieces of candy consumed.
Now, the domain of a function is the possible values of x that you can input in the function.
For this particular case you can have:
x = 0 (no pieces candy)
x = 1 (one piece of candy)
x = 2 (two pieces of candy)
Notice that x can be only whole numbers because, in principle, you can't eat a fraction of a piece of candy.
So we only use x = whole numbers.
Then the domain of the function is equal to all the natural numbers plus the zero, or:
D = {x ∈ N ∪ {0}}
"x belongs to the union between the set of the natural numbers and the zero"
Step-by-step explanation:
Nico was stunned when he opened the mail.Here was a check for $332.50 this is the interest he earned on his investment.One year ago Nico had been given 5,000.His parents made him put it in the bank and save it for college,but the said he could keep the interest it earned each year.A portion of his money is deposited in a high rate account that earned 8% annual interest.The rest is in a regular account that earned 3% this year.Both accounts pay simple interest computed at the end of the year.How much of Nicos money was invested in each account.
Answer:
Investment A = 3650
Investment B = 1350
Step-by-step explanation:
Given that:
Total interest earned = 332.50
Total Principal invested = 5000
Investment A:
Rate = 8%
Time = 1 year
Principal = a
Interest earned = 0.08a
Investment B:
Rate = 3%
Time = 1 year
Principal = b
Interest earned = 0.03b
a + b = 5000 ____(1)
0.08a + 0.03b = 332.50 - - - (2)
From (1)
a = 5000 - b
Into (2)
0.08(5000 - b) + 0.03b = 332.50
400 - 0.08b + 0.03b = 332.50
400 - 0.05b = 332.50
-0.05b = - 67.5
b = $1350
a = 5000 - b
a = 5000 - 1350
a = $3650
Please help me if you can please
Answer:
J
Step-by-step explanation:
Add 38+50 to find the answer. To check you can do 50+38=88
180-88=92
180-92=88
I hope this helps.
A toy which was bought for RS
A kettle is sold at a profit equal to one-fourth of its cost price. Find the profit percentage
Crice Find the profit %
Answer:
[tex]Profit\% = 25\%[/tex]
Step-by-step explanation:
Given
Let the cost price be x
The profit be y
Required
Determine the profit percentage:
According to the question; profit = 1/4 of cost price.
So:
[tex]y =\frac{1}{4}x[/tex]
The percentage profit is then calculated as:
[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]
This gives:
[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]
Substitute values for profit and cost price
[tex]Profit\% = \frac{\frac{1}{4}x}{x} * 100\%[/tex]
[tex]Profit\% = \frac{1}{4} * 100\%[/tex]
[tex]Profit\% = \frac{1 * 100\%}{4}[/tex]
[tex]Profit\% = 25\%[/tex]
Jai earns $9.75 per hour. Jai works 3 hours one day and then works 7 hours the next day
Answer:
97.50
Step-by-step explanation:
9.75(3) + 9.75(7);
9.75(3+7); 97.50
Pls help I will give brainlest 22, 18, 14, 10, ...
+ 4
A) a = 0,-1
4,= 17
B) a = 0,-1+4
a = 18
C) a = 4-,-4
a = 22
D) a = a,
a = 18
what is x2−4x−45=0 and what did you do
Tthe tempature in the morning was -3 degrees if it rose 8 degrees before lunch what was the temperature at the linch time
Answer:
it rose to 5 degrees
Step-by-step explanation:
the sum of two positive integers $a$ and $b$ is $1001$. what is the largest possible value of $\gcd(a,b)$?
The two integers 143m, 143n = a, b have only the factor of 143 in common.....and it is the g c d of both given , two positive integers of a and b is = 1001 factors 0f 1001is = 7 x 11 x 13 So.....143 is the greatest proper divisor of 1001.This means, that we have 143( m + n) = 143m + 143m = a + b = 1001, where ( m + n) = 7 and,
m + n are two positive integers whose sum = 7,
they are relatively prime to each other.
Therefore, these two integer 143m, 143n = a, b have only the factor of 143 in common.....and it is the g c d of both
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Integers come in three types: Zero (0) Positive Integers (Natural numbers) Negative Integers (Additive inverse of Natural Numbers)
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes: Positive Numbers: A number is positive if it is greater than zero.
to know more about integers;
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What is the solution to the equation?
Answer:
n = 1/2
Step-by-step explanation:
4/5(1/2) - 1/5 = 2/5(1/2)
4/10 - 2/10 = 2/10
Pete purchased 5 drinks and 6 snacks and spent a total of $22.50. Jaime purchased 1 drink and 9 snacks and spent a total of 24.75 each drink costs the same amount. Each snack costs the same amount write a system of linear equations that can be used to find thr coet of one drink and one snack.
Answer:
[tex]5x+6y=22.50\\x+9y=24.75[/tex]
Step-by-step explanation:
Cost of 5 drinks and 6 snacks = $22.50
Cost of 1 drink and 9 snacks = $24.75
Each drink costs the same and each snack costs the same.
Let cost of each drink = $[tex]x[/tex]
Let cost of each snack = $[tex]y[/tex]
As per the question, writing the system of equations:
[tex]5x+6y=22.50 ...... (1)\\x+9y=24.75 ...... (2)[/tex]
Let us use elimination method, to find the cost of each drink and cost of each snack.
Multiplying equation (2) by 5 and then subtracting equation (1) from it:
[tex]45y - 6y = 123.75 - 22.5 \\\Rightarrow 39y = 101.25\\\Rightarrow y \approx \$2.60[/tex]
Using equation (1):
[tex]5x+2.6 \times 6 = 22.5\\\Rightarrow 5x = 22.5 - 15.6\\\Rightarrow 5x = 6.9\\\Rightarrow x = \$1.38[/tex]
Cost of each drink = $1.38
Cost of each snack = $2.60
Find the measure of each angle indicated.
Answer: (I worked left-right instead of column 1, then column 2. That's why the answers are jumbled up. 2 on my work corresponds to 4 in the pic, 3 corresponds to 2, 4 corresponds to 5, and 5 corresponds to 3.)
1. 75 degrees
2. 112 degrees
3. 89 degrees
4. x is 8, so 111 degrees
5. x is 3 in both cases, so 90 degrees each
6. x is -7, so 130 degrees
Step-by-step explanation:
1. Adjacent angles are the same measurement. Since the one labeled is 75 degrees, and the question marked angle is adjacent, it is also 75 degrees.
2. The angles shown are complementary, so they both equal 180 degrees. To find the angle marked with "?", subtract 68 from 180 for 112 degrees.
3. The angle labeled is 89 degrees. The one labeled with "?" should be the same, as it is below it, and on the same point as the labeled one. So, 89 degrees is the measurement.
4. The labeled angle is 69 degrees. 180 - 69 is 111 degrees. The equation shown now becomes 12x + 15 = 111. 111 - 15 is 96, which means 12x = 96. Divide both sides by 12 to get x equalling 8.
5. These lines are all perpendicular, so they're all 90 degrees. 29x + 3 = 90, and 31x - 3 = 90 are the new equations. I will attempt x as 3, to see if it's a true value. 29(3) is 87, and 87 + 3 is 90, so 3 is true there. 31(3) is 93, and 93 - 3 is also 90. So x is 3 in both cases
6. We already know one of the angles is 50 degrees. These are complementary, so subtract 50 from 180 to get 130 degrees. So, the equation is x + 137 = 130, which then becomes, 137 + -x = 130. 137 minus 30 is 7, so x is -7.
Answer:
1.) 75°
2.) 89°
3.) 90° x = 3
4.) 112°
5.) 111° x = 8
6.) 130° x = -7
Step-by-step explanation:
1.) They are vertical so they measure the same
2.) They are corresponding angles so they equal the same
3.) They should equal up to 180.
29x + 3 = 31x - 3 (subtract 29x on both sides)
3 = 2x - 3 (add 3 on both sides)
6 = 2x (divide by 2 on both sides)
3 = x Plug in. 29(3) + 3 = 90 Both angles equal 90 degrees
4.) They should equal up to 180. 180 - 68 = 112
5.) They should equal up to 180. They are same side interior angles. 69 + 12x + 15 = 180 (collect like terms)
84 + 12x = 180 (subtract 84 on both sides)
12x = 96 (divide by 12 on both sides)
x = 8 Plug in 12(8) + 15 = 111 degrees
6.) They should equal up to 180.
x + 137 + 50 = 180 (collect like terms)
x + 187 = 180 (subtract 187 on both sides)
x = -7 Plug in -7 + 137 + 50 = 180 (collect like terms) 180= 180
Hope this helps ya!
7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist
Answer: 11/12
Step-by-step explanation:
7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:
7/12 + 4/12 = 11/12
11/12 is in simplest form, so that should be correct! Hope this helps! :)
Step-by-step explanation:
Hi so are we dating?????
PLEASE HELP WILL GIVE BRAINLIST
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent error for Diego’s measurement. Explain your choice. [3 point]
A. 4.3%
B. 4.5%
C. 95.7%
D. 104.5%
Explanation:
Answer:
I think it is c but I'm not sure
80% OFF
original price!
Sofia buys a lawn ornament during the sale. If the original price was $40, how much does Sofia pay?
Answer:
$8
Step-by-step explanation:
40 x .8 = 32
40 - 32 = 8
PLEASE HELPPP this is only 10 points and if you do an answer out of the subject then i am ❌reporting❌you!!!
Answer:
y=3x-13
Step-by-step explanation:
if you cant read the part at the bottom it's just
( 7 , 8) ( 9 , 14)
x1 y1. x2 y2
15:59:26
Which inequality has -12 in its solution set?
B
D
X+6<-8
H10
X+55-4
A
B
C
Answer:
D
Step-by-step explanation: I just took the quiz.
Ok hi I have a question. So when a manatee eats seagrass, the manatee's role is a consumer. But what is the name of the role of the seagrass? I know, but I forgot. Like is it a producer? Because it is an energy source for the manatee?
Answer:
It is a producer
Step-by-step explanation:
The seagrass IS a producer and it produces energy for the manatee without taking away other animals because it has photosynthesis
Help!!! Whats The answer, Please explain your answer Marking brainlliest:D.....I Really need this
Answer:
First, we need to find the rate.
210 = 21x
x = 10
We need to know how much he gets in 35 hours
35x
35(10) = 350
D is your answer.
Help Please! and Thank you!!
Answer:
Option D. [tex]50^{\circ}[/tex]
Step-by-step explanation:
[tex]\angle A + \angle B + \angle C = 180[/tex] (angles of a triangle sum to [tex]180^{\circ}[/tex])
[tex]\angle A + 100 + 30 = 180[/tex]
[tex]\angle A = 50^{\circ}[/tex]
Hope this helps :)
The volume of a cylinder is 8,478 cubic inches, and the radius is 15 inches. Which measurement is closest to the
height of this cylinder in inches?
Answers
90in
12in
48in
8in
The measurement which is closest to the height of this cylinder is: C. 48 in.
Given the following data:
Volume of cylinder = 8,478 cubic inchesRadius of cylinder = 15 inches.To determine the measurement which is closest to the height of this cylinder in inches:
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Where:
r is the radius.h is the height.Substituting the given parameters into the formula, we have;
[tex]8478 = 15^2h\\\\8478 = 225h\\\\h=\frac{8478}{225}[/tex]
Height, h = 37.38 inches.
Closest height = 48 inches.
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The slope of the line is
Answer:
The slope is 0
Step-by-step explanation:
If the line is horizontal then it's 0
What is the average rate of change of the function from X=2 to x=4
(Write the answer as a whole number.)
Answer:
I have no results if I get some I will notify you
Step-by-step explanation:
I hope that help's
earth's circumference is roughly 24,900 miles. using this information to calculate the answer to this question. then, use your answer to this question to calculate the answers to the next series of questions. round your answer to three decimal places (for example, 317.284 miles). in order to receive credit you must show your work. to show your work, please type out every number and mathematical function you used to arrive at the answer. how many miles are there in one degree of latitude? show your work. hint: consider that, while we only express latitudes up to 90 degrees (the number of degrees between the equator and the poles), the full circumference of any circle or sphere, (or near-sphere, in the case of the earth) encompasses 360 degrees.
There is a circumference of 69.167 miles per degree of latitude.
How many arc does the Earth comprise by one degree of its latitude?
Firstly, we assume that the earth is a spherical form to simplify calculations as spheres have constant radii of curvature, because the real form of the planet is similar to a oblate spheroid, a kind of ellipsoid. In addition, the circular arc (s), in miles, is directly proportional to the measure of the central angle (θ), in degrees, that is:
s ∝ θ
s = k · θ (1)
Where k is the constant of proportionality, in miles.
Now we eliminate the constant of proportionality and we calculate the circular arc afterwards:
s / 24900 mi = 1° / 360°
s = 1 / 360 × 24900 mi
s = 69.167 mi
There is a circumference of 69.167 miles per degree of latitude.
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HELP!
h(t)=t^2+2t
g(t)=-t-5
Find ( h+g )(-8)
Answer:
(h + g)(8) = 67
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Combining Like TermsFunction NotationStep-by-step explanation:
Step 1: Define
h(t) = t² + 2t
g(t) = -t - 5
Step 2: Find (h + g)(x)
Substitute: (h + g)(x) = t² + 2t - t - 5Combine like terms: (h + g)(x) = t² + t - 5Step 3: Find (h + g)(8)
Substitute in x: (h + g)(8) = 8² + 8 - 5Exponents: (h + g)(8) = 64 + 8 - 5Add: (h + g)(8) = 72 - 5Subtract: (h + g)(8) = 67Write an algebraic expression
1. Four less than twice a number
2. The quotient of three times a number and 10
Answer:
Hi
Step-by-step explanation:
hi
hi
hi______________________
What is the slope of the line containing the points (2,3) and (-4,0)?
A. 2
B. -1/4
C. 1/2
D. -2
Answer:
1/2 is the answer
Step-by-step explanation:
using the formula of slope Y2-Y1/X2- X1
The table below lists some of the characteristics of the houses on Katrina’s street.
Characteristics of Homes For Sale on Katrina’s Street
Bedrooms
Acres of land
Sale price
Appraised value
Property tax
2
0.17
$230,000
$200,000
$1,220
2
0.20
$210,000
$220,000
$1,232
3
0.20
$275,000
$250,000
$1,400
4
0.24
$275,000
$275,000
$1,540
4
0.52
$360,000
$310,000
$1,736
4
0.75
$350,000
$320,000
$1,792
5
1.23
$375,000
$350,000
$1,960
Which relationship describes a function?
A.(bedrooms, sale price)
B.(acres of land, appraised value)
C.(sale price, bedrooms)
D.(appraised value, property tax)
IF CORRECT I WILL GIVE BRAINIEST
Answer:
C; Acres of land, Sale price
Step-by-step explanation: I think this because no other relationship would be accurate with numbers that specific.
Answer:
c
Step-by-step explanation:
This is very easy!!!!
Answer:
N is 5 im pretty sure
Step-by-step explanation:
find the length of the radius of the circles whose circumference is 550 cm
Circumference = Perimeter
Perimeter of Circle
= 550cm
Also,
Perimeter of Circle
= 2πr
Now,
2πr = 550
πr = 550/2
πr = 275
r = 275/π
r = 275/ 22/7
r = 275 × 7/22
r = 87.5cm
solve for x please and thank you
Answer:
2x -5(x-3) = -4 +5x -29
2x-5x+15 = -4 +5x -29
-3x +15 = 5x -33
-8x= -48
x=6