You are going running. For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn. The relationship between these two variables can be expressed by the following equation: c=100m, equals, 100, m Identify the dependent and independent variables.
The number of miles you run is Independent and the calories you burn is Dependent
Answer:
C is the dependent variable
m is the independent variable
Step-by-step explanation:
For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn
C= 100m
Number of calories burn depends on the number of miles you run
So calories C depends on the miles 'm'
C is the dependent variable because it depends on the value of 'm'
m is the independent variable
Patty is, right now, 3 times as her brother Terry. in 10 years, the sum of their age will be 36. how old are they right now? show your work.
Patty is 12 years old, and Terry is 4 years old. After setting up an equation based on their ages now and in 10 years, we determine that Terry is 4, and since Patty is three times as old, she is 12.
The problem presented is a typical age-related algebraic question. To solve it, we can set up equations based on the information given. Let's define Patty's current age as 3T, where T represents Terry's current age. In 10 years, Patty will be 3T + 10 and Terry will be T + 10. According to the problem, the sum of their ages in 10 years will be 36. So, we can write the following equation:
3T + 10 + T + 10 = 36
Solving this equation:
Combine like terms: 4T + 20 = 36Subtract 20 from both sides of the equation: 4T = 16Divide both sides by 4 to find Terry's age: T = 4With Terry's age being 4, Patty's current age is 3 times Terry's age, which means Patty is 3 × 4 = 12 years old. So, Patty is 12 and Terry is 4 years old right now.
15 pts!! Find an equation of the line that satisfies the given conditions: through (2,4) & parallel to the x axis.
find the perimeter of the triangle
one dozen eggs cost 1.98$. How much does 1 egg cost? ( round to the nearest cent )
The cost of one egg is $0.165.
Given that, one dozen eggs cost 1.98$.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, cost of 1 egg = Cost of one dozen eggs ÷ 12
= 1.98/12
=0.165
Therefore, the cost of one egg is $0.165.
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The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 68 feet, what are the lengths of the three sides?
The perimeter of a triangle is:
P = a + b + c
We are given that:
b = a + 3
c = 2 a – 3
Therefore:
68 = a + a + 3 + 2 a – 3
68 = 4 a
a = 17
and,
b = a + 3 = 20
c = 2a – 3 = 31
The shortest side of the triangle measures 17 feet.
The second side of the triangle measures 20 feet.
The third side of the triangle measures 31 feet.
What is the length of the three sides?The perimeter of a triangle is the sum of the length of the three sides of the triangle.
Let the shortest side be represented with s.
The second side = 3 + s
The third side = 2s - 3
2s - 3 + 3 + s + s = 68
4s = 68
s = 17
The second side = 17 + 3 = 20
The third side = = (2 x 17) - 3 = 31
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what is -1/3+5(negative one over three plus 5) please help me im confused
How to solve 3d+8=2d-17
The value of d for the expression 3d + 8 = 2d - 17 is -25.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
3x = 4 is an equation.
2x = 4 is an equation.
We have,
3d + 8 = 2d - 17
3d and 2d are like terms.
So,
keep like terms on one side.
3 - 2d = -17 - 8
d = -25
Thus,
The value of d is -25.
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The quotient of a number and five increased by four is sixteen answer
Answer: [tex]\dfrac{x}{5}+4=16\\\\and\\\\x=60[/tex]
Step-by-step explanation:
Since we have given that
The quotient of a number and five increased by four is sixteen a
Let the number be 'x'.
The quotient of a number and five is written as
[tex]\dfrac{x}{5}[/tex]
And it is increased by 4 is written as
[tex]\dfrac{x}{5}+4[/tex]
And the equation is equal to 16.
[tex]\dfrac{x}{5}+4=16[/tex]
And the solution would be
[tex]\dfrac{x}{5}+4=16\\\\\dfrac{x}{5}=16-4=12\\\\x=12\times 5\\\\x=60[/tex]
Hence, [tex]\dfrac{x}{5}+4=16\\\\and\\\\x=60[/tex]
Math Natalia Gonzalez You already owed your friend $6. This morning you borrowed $4 more and this afternoon you paid back $8. How much money do you owe your friend?
Hi!!
The answer is 2!
Fun fact,my name is Natalia Gonzalez too!!
But
6+4=10
10-8= 2
Hope this helps ya
Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains the same at all points on the ramp.
Answer:
as the car slides down the ramp it is in kinetic energy and when it is on the top of the ramp it is on potential energy we see that the energy is being transferred
six times the reciprocal of a number equals 2 times the reciprocal of 6. find the number.
Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?
a −(1.3−4.9)+(−2.6)
b −1.3+(4.9+2.6)
c (1.3+4.9+2.6)
d −1.3−(4.9+2.6)
The equivalent expression to -1.3+(-4.9)+(-2.6) is -1.3 - 4.9 - 2.6, which is represented by option d, -1.3 - (4.9 + 2.6).
Explanation:The subject of this question is a mathematical calculation, more specifically adding negative numbers.
To answer the student's question about which expression is equivalent to -1.3+(-4.9)+(-2.6), we first need to understand that adding a negative number is the same as subtraction. Therefore, the expression can be written as -1.3 - 4.9 - 2.6.
If we look at the options:
Option a, −(1.3−4.9)+(−2.6) is not correct because subtracting a negative number should be the same as adding; Option b, −1.3+(4.9+2.6) is incorrect as well; Option c, (1.3+4.9+2.6) is not equivalent because the signs of all numbers are positive; Option d, −1.3−(4.9+2.6) is indeed the correct option, because it represents the operation of subtraction as originally described. Learn more about Adding negative numbers here:
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branliest offered 10 points for each question
least to greatest
square root of 8, -2/5, -1, 0.6, square root of 6
-8,3, negative square root of 5, 2.6, -1.5, square root of 5
-8.3,negagitive square root of 80, -17/2, -8.25, negative square root of 100
Simplify 81.56 + n - 2.55.
A)79.10 - n
B)79.01 + n
C)81.56 - 2.55n
Write the equation of the line in standard form when the slope is -7 and the line goes through
(-2, 5). Graph the line.
235+374= use rounding or compatible numbers to estimate the sum
what is the value of the expression? (11 - 4) * (6 + 5) A.18 B.47 C.77 D.117
(8 - 4)x + 6 which property is being used?
0.008 is 1 tenth of what decimal
Given f(x) = x − 7 and g(x) = x2 . Find g(f(4)). g(f(4)) =
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~
To solve this we will first find out what f(x) equals at the given point of 4, and than substitute that answer it for g(f(4))...
f(x) = x - 7
f(4) = 4 - 7 = -3
g(f(4)) = (x - 7)^2 > -3^2 = 9
So...
The answer is: g(f(4)) = 9
Answer: 9
Step-by-step explanation:
The formula for the perimeter of a square is p = 4s, where s is the length of a side. find the perimeter of each square.
Determine if f is a linear or nonlinear function and if f is a constant function.
A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How much will it cost if the painter takes 4.5 hours to paint?
The quotient of 4 and the difference of an integer and 3 is the same as two-thirds. Find the integer.
Noel Devine bought a new dishwasher for $320. He paid $20 down and made 10 monthly payments of $34. What actual yearly interest rate did Noel pay?
A. 14.55%
B. 29.09%
C. 34.38%
D. 68.75%
Solution:
Cost price of Dishwasher bought by Noel Divine = $ 320
Down payment = $ 20
Amount given in one installment= $ 34
Total Amount paid in 10 Installment = $34 ×10=$ 340
Total amount paid for Dishwasher by Noel Divine = $340 + $ 20 = $ 360
Interest paid by noel = $ 360 - $ 320= $ 40
As the interest will be simple interest
Simple interest =[tex]\frac{Principal \times \text{time} \ \text{rate}}{100}[/tex]
40=[tex]\frac{320 \times R \times \frac{10}{12}}{100}[/tex]
R= [tex]\frac{48000}{3200}[/tex]=15% →→Option A
A gardener buys a plant that is 12cm in height. Each week after that the plant grows 10cm. Note: The plant is 12cm high at the beginning of the week.
what is the formula and value for t10 and t12 in an arithmetic sequence????
formula = height = 12+10t
where t = number of weeks
so for t10
height = 12+10(10) = 12+100 = 112 cm
for t12
height = 12+10(12) = 12 +120 = 132 cm
In an orchard, for every 5 green apples there are 2 red apples. What is the ratio of green apples to red apples?
Which expression can be used to find the slope of a line containing points (-3,2) and ( 7,-1)
If the value of x decreases by 6, how does the value of m(x + 9) change?