Answer:
a) 20r + 20w = 500, 10r + 35w = 500
b) r = 15, w = 10
c) 900 calories
Explanation:
Let running time be r, walking time be w
a) Hence, make equation's:
20r + 20w = 500... equation 1
10r + 35w = 500... equation 2
b) Determine the value of the variables by solving simultaneously.
⇒ (500 - 20w)/20 = (500 - 35w)/10
cross multiply
⇒ 10(500 - 20w) = 20(500 - 35w)
multiply
⇒ 5000 - 200w = 10000 - 700w
shift sides
⇒ -200w + 700w = 10000 - 5000
simplify
⇒ 500w = 5000
divide both sides by 500
⇒ w = 10
Now find the value of variable r,
⇒ r = (500 - 20w)/20
insert w = 10
⇒ r = (500 - 20(10))/20
simplify
⇒ r = 15
Hence the value of r is 15 and w is 10
c) Find calories burnt after one hours of running: [1 hours = 60 minutes]
calories = 60r = 60(15) = 900 calories
Hence, he can burn 900 calories after one hours of running.
There are 20 angelfish in a pet store. The fish are placed
into 5 tanks with the same number of fish in each tank.
How many fish are in each tank?
Answer:
4 fish in each tank.
Step-by-step explanation:
20/5 = 4
I need help with this math question thank you
Answer:
A
Step-by-step explanation:
3 x 5/6 = ? x 1/6
those are fractions btw and what number makes the equation true?
PLEASE NO LINKS
Answer:
15
Step-by-step explanation:
[tex]3 \times \frac{5}{6} = \frac{15}{6} = 15 \times \frac{1}{6} [/tex]
(r^-7)^6 im looking for anwser
Answer:
( r^-7 )^6 = r^-42 ( in exponential form )
( or )
1 / r^42 ( in fractional form )
Step-by-step explanation:
( r^-7 )^6
Formula : -
( a^m )^n = a^( mn )
Here,
a = r
m = - 7
r = 6
mn
= - 7 * 6
= - 42
Hence,
( r^-7 )^6 = r^-42 ( in exponential form )
( or )
( r^-7 )^6 = 1 / r^42 ( in fractional form )
Need answers for this
Answer:
Step-by-step explanation:
Mean, Median,mode[tex]\boxed{Mean = \dfrac{Sum \ of \ all \ data}{number \ of data}}[/tex]
[tex]\sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875[/tex]
Median:Arrange the numbers in ascending order.
176 , 195 , 212 , 234 , 236 , 243 , 247, 248
Number of data is even. So, median will be the average of 234 and 236
Median = average of the middle two terms.
[tex]\sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235[/tex]
Mode is the data which is occurring more number of times.
Range = maximum - minimum
= 248 - 176
= 72
6=3n/5
thats the equation and i need to find out what n is
Answer:
n=10
Step-by-step explanation:
6=3n/5
multiply both sides by 5
30=3n
divide both sides 3
10=n
Sam is d years old. Rupert's age is of Sam's age. lan is 15 years older than Rupert. If lan is 26 years old, a) write an equation in terms of d. b) what is Sam's age?
Answer: d = 11 bc 26 - 15 would equal 11
What is limit of startfraction x squared x minus 12 over x squared minus 3 x endfraction as x approaches 3? 0 startfraction 7 over 3 endfraction 4 dne
The limit of the expression [tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]a s x approaches 3 is -1/2
How to determine the limit?The expression is given as:
[tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]
As the variable x approaches 3, the limit is represented as:
[tex]\lim_{x \to 3} f(x)[/tex]
So, we have:
[tex]\lim_{x \to 3} = \frac{3^2 - 12}{3^2 - 3}[/tex]
Evaluate the exponents
[tex]\lim_{x \to 3} = \frac{-3}{6}[/tex]
Evaluate the quotient
[tex]\lim_{x \to 3} = -\frac{1}{2}[/tex]
Hence, the limit of the expression as x approaches 3 is -1/2
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Answer:
B. 7/3
Step-by-step explanation:
Took the final test and this was the correct answer
Look at the picture below
The median number of shoes for the girls is greater than the median number of shoes for the boys.
The median number of shoes for the boys is greater than the median number of shoes for the girls
The mean number of shoes for the boys is greater than the mean number of shoes for the girls.
The value of Q3 for the boys is greater than the value of Q3 for the girls
Answer:
The median number of shoes for the girls is greater than the median number of shoes for the boys.
What is the gradient of the graph shown?
Give your answer
simplest form
please help urgently
DO NOT ANSWER IF YOU DON'T KNOW. AND NO GUESSES!
In the following table of values, what would be the value of “b” in ax2 + bx + c?
–2, –9
–1, –1
0, 9
1, 21
2, 35
Answer choices:
1
9
11
22
Answer:
11
Step-by-step explanation:
I used a bunch of formulas that would clog this page, so I can't put them down. Sorry if it's wrong
Please help me with my math please.?
Answer:
x = 6, y = 0, m = -1
y = mx + b
0 = -1(6) + b
0 = -6 + b
6 = b
y = -1x + (6)
Step-by-step explanation:
^^^
See answer, pretty simple.
So
equation
y=mx+b0=-1(6)+bb-6=0b=6So equation
y=-x+6A bunny is released from a cage and hops away along a straight path. Each hop covers a horizontal distance of about 1 meter and a vertical distance of about
0.4 meters.
Which of the following graphs could model the situation if x represents the bunny's horizontal distance from the cage and y represents the bunny's height above ground?
Answer:
D
Step-by-step explanation:
because Y has to be about 0.4 meters high and the X value has to be 1 meter wide
Write down the coordinates of point A.
( ……… , ………)
b) The line L is shown on the grid. Find the equation of line L in the form of y = mx + c.
..............................
The coordinates of point A is: (-2, 5)
The equation of line L, in slope-intercept form, is: y = 1/2x + 2
What is the Equation of a Line?In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:
b is the y-intercept, which is where the line cuts the y-axism is the slope = change in y / change in x.The coordinates of point A is: (-2, 5)
Slope (m) of line L = 2/4 = 1/2.
y-intercept (b) = 2
The equation of line L will be:
y = 1/2x + 2.
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18 people are trying out for a soccer team. How
1
I goalie,
many different ways could you choose
5-defenders, 6 midfielders, and 3 forwards?
Answer:
Using arrangements with repetitions, it is found that they can be grouped in 46,200 ways.
What is the arrangements formula?
Step-by-step explanation:
Please help with this. I don’t understand what I’m doing. It’s due tonight
Answer:
.0006
Step-by-step explanation:
I'm not sure if this is correct.. sorry if this is wrong.. :(
18.5 yd
11.7 yd
6.3 yd
14.3 yd
the surface area
Find the nth term of this number sequence 2, 4, 6, 8, ...
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given sequence is in Arithmetic progression, and we have to find its nth term ~
So, let's get it solved ~
First term of the sequence is :
a = 2Common difference is :
d = 6 - 4 = 4 - 2 = 2Now, if we have to write the 2nd Term with respect to first one, we can write :
2nd Term = a + (2 - 1)d = a + d = 2 + 2 = 4similarly ~
3rd Term = a + (3 - 1)d = a + 2d = 2 + 4 = 64th Term = a + (4 - 1)d = a + 3d = 2 + 6 = 8Therefore, I similar pattern ~
[tex] \qquad \sf \dashrightarrow \: nth \: term = a + (n - 1)d[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2 + (n - 1)2[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2(1 + (n - 1))[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2(1 + n - 1)[/tex]
[tex] \qquad \sf \dashrightarrow \: nth \: term = 2 n [/tex]
Feel free to ask your doubts, if you have any ~
Answer:
2nStep-by-step explanation:
from the number sequence above, each term except the first is generated by adding 2 to the term immediately preceding it.
the nth term of the sequence is usually designated Tn, and it's usually a function of n
from the number sequence
T1= 2
T2 = 2+2= 4
T3= 4+2= 6
T4= 6+2= 8
therefore, Tn= 2+2×(n-1)
= 2+2n-2
=2-2+2n= 2n
therefore, the nth term of the number sequence= 2nDave loves underwater diving. His house boat is 250 feet above sea level. He jumped from that level. He went 600 feet below sea level. How many feet did Dave go under the water?
Answer:
600 feetStep-by-step explanation:
I would just like to explain how this works with a visual (please enjoy my drawing <3 haha)
With my drawing we know that the bird is 150 feet above sea level, and the fish is 100 feet below sea level.
From the bird to the water it is 150 feet, from water to fish is 100 feet
From the bird to the fish it is 150 feet + 100 feet
This is equal to 250 feet,so we know from the bird (150 feet above sea level) to the fish(100 feet below sea level).
Knowing this information we can easily answer this questionDave is 250 feet above sea level, and he went 600 feet nelow sea level, meaning he only went 600 feet under the water.Solve -2x + 7 < -41 how do you solve this
Answer:
x>21
Step-by-step explanation:
-2x + 7 < -41 Subtract 7 from both sides
-2x<-48 Divide by negative 2
x>21 When you divide by a negative you have to flip the sign
Answer:
x<28
Step-by-step explanation:
-2x+7<-41
-2x<-48 subtract 7 from both sides
x>24 divide by -2 to both sides
The width of a 2-by-4 piece of wood is actually 3 1/2 inches. Find the total width of 28 2-by-4s laid side by side. Simplify your answer
Work Shown:
3 1/2 inches = 3.5 inches
total width = 28*3.5 = 98 inches
The required total width of 28 2 - by -4s laid side by side is 98 inches.
Given,
The width of a 2-by-4 piece of wood is actually 3 1/2 inches. to determine the total width of 28 2-by-4s laid side by side.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The width of a 2-by-4 piece of wood is actually 3 1/2 inches.
Now, the width of 28 2-by-4 woods laid side by side,
= 28 * 3 1 / 2
= 28 * 7 / 2
= 98
Thus, the required total width of 28 2 - by -4s laid side by side is 98 inches.
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If someone could help that’d be great!
Answer:
6.6 ft
Step-by-step explanation:
The area of a triangle is given by the formula: [tex]A=\frac{1}{2}bh[/tex].
In this case, the base b equals the height h.
[tex]\therefore A=\frac{1}{2}h^2 \rightarrow h=\sqrt{2A}[/tex]
Given: A = 22 ft²
[tex]\therefore h=\sqrt{2A} = \sqrt{2(22 \text{ ft}^2)} = \sqrt{44}\text{ ft} \approx 6.6 \text{ ft}[/tex]
Evaluate v(x)=12−2x−5 when x=−2,0, and 5.
Answer:
Step-by-step explanation:
v(x)=12-2x-5
v(-2)=12-2(-2)-5
=11
v(0)=12-2(0)-5
=7
v(5)=12-2(5)-5
=-3
1 A jewelry salesperson eams 55% commission on all sales. Today he sold $7,770 in jewelry. What is his total commission earned? The total commission the salesperson earned is $ (Round to the nearest cent as needed.)
Answer:
$4,273.50
Step-by-step explanation:
Multiplying the total sale amount by 55% commission :
7,770 x 55%7,770 x 0.557,770 x 11/20388.50 x 11$4,273.50PLEASE HELP ILL MAKE YOU THE BRAINIEST!! For what value of X must ABCD be a parallelogram?
Answer:
because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2
how to do this please help me
Answer: ∠BAC = 70°
Step-by-step explanation:
We will use the "Exterior Angle Property" which states that an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
This means that (6a) + (7a) = 130° which we can solve.
(6a) + (7a) = 130°
13a = 130
a = 10°
Now that we have the value of a, we can solve for the angle BAC.
7a
7(10)
70°
The weather forecast warns of morning fog today.
You may only be able to see 0.6 miles in front of you.
How many feet is this?
Answer:
ANSWER ✏️3168[tex] \: \: \pink{\bold{\underline{\underline{ ☛explanation}}}}[/tex]
.
lmile=5280 feet 50 0.6mile =3168 feet
#WOULD have helped
#CARRY ON LEARNING
#BRAIN-LIEST
correct my answer in case it is wrong
The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose the manufacturer is correct. If 10 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate
The Probability of that more than 7 of them germinate is 0.2948.
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.
The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.
The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.
The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268 = 0.268 = 26.8%.
The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.
Thus, The Probability of that more than 7 of them germinate is 0.2948.
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how know ????????????
Answer:
0.16
Step-by-step explanation:
AND = Probability(of 1)*Probability(of 2)
OR = Probability(of 1)+Probability(of 2)
probability of spinning red = 0.2 or 20%
probability of NOT spinning red = 0.8 or 80%
The question says "AND" so 0.2 * 0.8 = 0.16 or 16%
Hope this helps!!!
Please mark as brainliest!!!
How many degrees does a minute hand move in 45 minutes?
Answer:
270°
Step-by-step explanation:
Complete angular measurement of clock = 360°No. of minutes in one hour = 60 Angle moved in one minute = 360°/60 = 6°Angle moved in 45 minutes = 45*6° = 270°