Write the equation for this situation, then give the x-intercept, y-intercept, and slope. A person is wanting to burn 500 calories a day through excercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running. ALSO - explain what the x and y-intercepts mean in this situation. Your answer:
Answer:
[tex]x[/tex]-intercept is [tex](68.5,0)[/tex]
[tex]y[/tex]-intercept is [tex](0,44.2)[/tex]
Step-by-step explanation:
Let [tex]x[/tex] denotes time denoted (in minutes) by a person in jogging.
Let [tex]y[/tex] denotes time denoted (in minutes) by a person in running.
A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.
So, equation becomes [tex]7.3x+11.3y=500[/tex]
For [tex]x[/tex]-intercept, put [tex]y=0[/tex]
[tex]7.3x+11.3(0)=500\\7.3x=500\\x=68.5[/tex]
So, [tex]x[/tex]-intercept is [tex](68.5,0)[/tex]
For [tex]y[/tex]-intercept, put [tex]x=0[/tex]
[tex]7.3(0)+11.3y=500\\11.3y=500\\y=44.2[/tex]
So, [tex]y[/tex]-intercept is [tex](0,44.2)[/tex]
Differentiate equation [tex]7.3x+11.3y=500[/tex] with respect to [tex]x[/tex]
[tex]7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65[/tex]
[tex]x-[/tex]intercept means that a person spends 68.5 minutes in jogging and no time in running.
[tex]y-[/tex]intercept means that a person spends 44.2 minutes in running and no time in jogging.
Let x represent any year. Write an inequality in terms of x and 1610
that is true only for values of x that represent years after the year the Mali Empire fell.
The year of the empire fell = 1610.
We are given x as a variable that represents the year after the given year 1610.
We need to setup an inequality for this situation.
Please note: The year after the year number 1610 will have a number that greater than 1610.
Let us make a statement for inequality to be written.
"The year after the 1610 is greater than 1610".
The year after the 1610 is x and gerater than symbol is >.
So, we can setup an inequality as:
x > 1610 : Read as x is greater than 1610.
what dose the least common multiple of 4 and 6 mean in this situation (LCM)
Answer:
12
Step-by-step explanation:
You make a T-chart and list out all the multiples and you find which multiple is the smallest number they both have! For example, 4 and 6 have 12 as their least common multiple because 3 x 4 is 12 and 2 x 6 is 12, that’s the smallest number they both have in common.
Select all expressions that are equivalent to 6x+1−(3x−1). A. 6x+(-3x)+1+1 B. 3x+2 C. 6x−3x+1−1 D. 6x+1−3x−1 E. 6x+1+(-3x)−(-1)
Answer:
B. 3x+2
Step-by-step explanation:
Consider f(x) = mx + b where m and b are both non-zero constants. The function g(x) is the inverse of f(x). Which of the following functions is g(x)? Use composition of functions to check your answer.
Answer:
2x-54n
Step-by-step explanation:
397 x 543 in partial product mltipulcation box
Answer:
215571 hope this helps :)
Answer:
to be fair don't ask me plz
Step-by-step explanation:
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.
Answer:
$3.6Step-by-step explanation:
Given that 8 rolls cost $4.80
let us compute how much 1 roll will cost (that is the unit cost of a roll)
so 8 rolls cost $4.80
1 roll will cost x
x= 4.8/8
x=$0.6
so the paper tower cost $0.6 per roll (this is the rate)
therefore 6 rolls will cost
=6*0.6
=$3.6
In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.
Answer:
Jamal has the the better record
Answer:
This is the sample response from Edge
Step-by-step explanation:
Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.
how to factorise 15x-10x^3
Which graph represents the function f(x) = |x|-4?
Answer:
Which graph represents the function f(x) = 4|x|?
B is the correct answer
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
Edg2021
As an estimation we are told 5 miles is 8 km.
Convert 27.5 miles to km.
Answer:
44 km
Step-by-step explanation:
8/5 is the conversion between m and km which is 1.6 and then we can simply multiply 27.5 times 1.6 which is 44 km I hope this helps.
Which of the following inequalities is shown in the graph
Answer: D) y ≤ 5/2x + 5
The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.
Hope this helps!
What is X? 3(4x−3)= -4+7
Step-by-step explanation:
[tex]3(4x - 3) = - 4 + 7[/tex]
Expand :
[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]
Simplify : Add values
[tex]12x - 9 = 3[/tex]
Collect like terms and simplify
[tex]12x = 3 + 9 \\ 12x = 12[/tex]
Divide both sides of the equation by 12
[tex] \frac{12x}{12} = \frac{12}{12} [/tex]
Simplify
[tex]x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
Hope I helped :)
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A tennis racket that normally sells for $80 now
sells for $64. In lowest terms, what fraction
represents the former price compared to the
current price?
A. 3/4
B. 4/5
C. 6/5
D. 5/4
One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?A. 22°FB. 32°FC. -38°F. -28°F
Answer:
-28*F, hope this helps!
Answer:
-28 F
Step-by-step explanation:
please give the other guy brainliest :))))
For f(x)=4x+11, what is the value of f(15)?
How do you convert an equation into slope intercept form? do you solve for x or solve for y
Answer:
An equation using the slope-intercept form would be y=mx+b. M would be the slope and b would be the intercept. For example, if slope:5 and intercept:6 the equation would be y=5x+6. Hope I helped!
Name a pair of acute vertical angles
What is the answer to 12/45x5+6
Answer: 24.75
Step-by-step explanation:
First you would do 45x4=225, then you would divide that by 12 which equals 18.75, then you would add 6 to the ones place which is 24.75
The sum of two numbers is 91. The greater number is 7 more than the smaller number. Which equation can be used to solve for the smaller number?
x(x + 7) = 91
x(x − 7) = 91
x + (x + 7) = 91
x − (x + 7) = 91
Answer:
x+(x+7)=91
Step-by-step explanation:
Hope this helps :)
Answer: your answer for the smaller number is 38.5 and the larger number is 52.5.
Step-by-step explanation:
To make sure it's right, I just add the numbers together.
Your Problem:
91 ÷ 2 = 45.5
45.5 + 7 = 52.5
45.5 - 7 = 38.5
52.5 + 38.5 = 91
The entire length of the Appalachian Trail is 2,160 miles. How long would it take you to hike the full length of the trail?
Answer:
Step-by-step explanation:
10hours
FIRST ANSWER GETS CROWNED BRAINLIEST!!! 30 points!!!
The slope of a line is 3/4. If x increases by 20, what is the corresponding change in y? Please explain the answer.
Answer:
15
Step-by-step explanation:
15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15
Answer:
The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).
Step-by-step explanation
If it is wrong then I'm sorry
Solve for x:
1/2x + 10 = -2 + x
Answer: x = 24
Step-by-step explanation: coz I juss know
Answer:x=24
Step-by-step explanation:hope this helps!
If 15 is subtracted from three times a certain number,
the result is 27. Find the number
Answer:
x=14
Step-by-step explanation:
3x-15=27 (add 15 to both sides)
3x=42 (divide both sides by three)
x=14
The required number is -4.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now it is given that, 15 is subtracted from three times a certain number,
the result is 27.
Now let x be the number.
Three times the number = 3x
Therefore, 15 is subtracted from three times a certain number = 15 - 3x
Therefore, the equation for 15 is subtracted from three times a certain number, the result is 27 is,
15 - 3x = 27
Subtracting 15 both the side we get,
15 - 3x - 15 = 27 - 15
⇒ -3x = 12
or, x = -12/3
⇒ x = -4
which is the required number.
Thus, the required number is -4.
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√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
Which of the following is true about the expression c5+(−9c2)+40c+7d7e3−5c3+4d?
A. There are no negative coefficients.
B. The coefficient of the first term is 0.
C. The coefficient of the third term is c
D. The coefficient of the fourth term is 7.
Answer:
D. The coefficient of the fourth term is 7.
Step-by-step explanation:
Took the test got it right
The true statement about c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d is
D. The coefficient of the fourth term is 7.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d.
There are negative coefficients - 9.
The coefficient of the first term is 1.
The coefficient of the third term is 40.
The coefficient of the fourth term is 7 is true.
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Is there a way to rewrite this? It asked me to create an equation, and I did: 180([tex]x^{2}[/tex]). I checked it and it said it was wrong, however, I used the same equation to get the answer for the second question and it was correct. I thought that maybe there was another way to write the equation, so I used the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and had no luck. Is there a way to write it that I don't know about?
Step-by-step explanation:
Hope this helps, and sorry for the image, my phone is glitchy.
cheers!!!
A line segment is defined by which of the following statements?
The statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.
A line segment, in geometry, is defined as a line or part of a line having two endpoints.
A diagram showing a line segment with two distinct endpoints have been shown in the attachment below.
A line segment can also contain points between the two endpoints on the line.
Therefore, the statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.
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a=9
b=12
What is the length of c?
Answer:
c = 15
Step-by-step explanation:
a^2 + b^2 = c^2
This formula is the Pythagorean Theorem, which is used to find the length of one of the three sides to a right triangle. a and b are the two short sides, while c is the hypotenuse (long diagonal side).
Given a and b we are able to solve for c
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
Square root both sides to cancel the square
c = 15
Answer:
15
Step-by-step explanation:
Use this equation
a^2+b^2=c^2
so,
9 squared is 81 and 12 squared is 144.
81+144=225
The square root of 225 is 15.
What is .24 written as a percent?
Answer:
24%
Step-by-step explanation:
Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.
Step 2: Add a percent sign: 24%
and that's how you get your answer
The .24 written as a percent is 24%.
To convert .24 to a percent, multiply it by 100.
.24 ×100 = 24
When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.
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