please help i'm stuck :,)
Jacob and Sophia are in a running club and record how long it takes them to run a 5-kilometer race. Jacob's time was 4 minutes under the average time of the running club. The difference between Jacob's time and Sophia's time is 10 minutes. The possible times of Sophia's run are ____ minutes below the average or ____ minutes above the average.
Answer:
14 minutes below or 6 minutes above
Step-by-step explanation:
Let's say Sophia's time was 10 minutes WORSE
4 minutes below average- 10 minutes= 14 minutes below average
Let's say Sophia's time was ten minutes BETTER
4 minutes below average + 10 minutes= 6 minutes above average.
Hope this helps!
14 minutes below the average
6 minutes above the average
=====================================================
Let A = average running time
Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.
Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.
We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.
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Let's plug in J = A-4 and solve for S
|S-J| = 10
|S - ( J )| = 10
|S - (A-4)|
|S-A+4| = 10
S-A+4 = 10 or S-A+4 = -10
S-A = 10-4 or S-A = -10-4
S-A = 6 or S-A = -14
S = A+6 or S = A-14
The equation S = A+6 shows Sophia is 6 minutes above the average
The equation S = A-14 shows Sophia is 14 minutes below the average
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Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.
If A = 20, then Jacob's time is J = A-4 = 20-4 = 16
If the average running time is 20 minutes, then Jacob ran for 16 minutes.
If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)
If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)
This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.
Question Details
An atom of hydrogen has a mass of about 1.66 x 10^-25
grams. An atom of oxygen has a mass of about 2.656 x
10^-23 grams. How many times the mass of the
hydrogen atom is the mass of the oxygen atom? Give
your answer in scientific notation.
HELP
Answer:
Atomic mass unit-
It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.
Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.
1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.
Atomic mass of an element = mass of one atom of the element / 1 amu
Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.
For ex-
Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.
Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.
Average Atomic weight (Mass)-
“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”
Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.
Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100
= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100
Average atomic mass= 12.011 amu
Molar volume –
Molar volume of a substance is volume occupied by 1 mole of that substance .
Molar volume of solid or liquid = molar mass / density
Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.
Gram atomic mass(weight) or gram atom –
“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”
Ex –
mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm
Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.
Hence, Gram atomic weight of oxygen = 16 gm.
No. of gram atoms = mass of element in gm / atomic mass of element in gm.
Need help (don’t give me inn correct answer and don’t comment if you don’t know)
Answer:
I believe that the answer is number 2
Step-by-step explanation:
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
Reflection across the x-axis
Step-by-step explanation:
What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.
Answer:
Answer given in the photo
pair that describes <2 <3
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
help!! will mark brainly
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided.
36÷−4=
Answer:
the answer is 9 so yeah.....
Solve the inequality below.
4(x + 3) < 6x – 2
Answer:
X > 7
Step-by-step explanation:
4(x + 3) < 6x – 2
4x + 12 < 6x -2
-6x -6x
-2x + 12 < -2
-12 -12
-2x < -14
----- -----
-2 -2
x > 7
The < change because it was divided by a negative number
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Answer:
whats the question
Step-by-step explanation:
whats the question
Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
Took the test
6x+3<7-2x
I’m not sure if I’m doing it right so an explanation would be nice
Answer:
x<0.5
Step-by-step explanation:
this is just like simplifiying equations if you've done that before
first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)
so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.
Then you subtract 3 from both sides to get 8x<4
after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5
just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number
can anyone help me?
Answer:
Literally take your f(x) and - your g(x)
(x^2+9x+18) - (x + 6)
Remember to distribute the negative sign.
A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge
Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
3√5•3√2 =
A. √10
B. 9√10
Which one?
Work Shown:
[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]
The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
what is the value of x?
Answer:
84°
Step-by-step explanation:
I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio
ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?
Answer:
15
Step-by-step explanation:
The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.
Answer:
It wouldn't.
Step-by-step explanation:
With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.
will mark brainlyest 10/19
Answer:
answer is 5
Step-by-step explanation:
Help me someone please I’m lost and confused??
Answer: go to Cymath
Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers
if medain of 10, 20, x+5,x+10,50,60 is 35 then find x
Answer:
X = 27
Step-by-step explanation:
10, 20, 32, 37, 50, 60
First things first, take off 10, 20, 50, and 60.
Now, you remain with 32 and 37. Now from here it is simple.
Average of 32 and 37 = 34.83
Round 34.83 to 35
32 averaging 37 (Rounding Terms) ≈ 35
So X is 27
Translate this into an equation.
The product of Greg's height and 5 is 90.
use g to represent Greg's height.
Answer:
g times 5 equals 90
Step-by-step explanation:
Answer:
g5 = 90
Step-by-step explanation:
if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.
The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answer: 50%
Step-by-step explanation: math
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
Can You Please Help? I swear I will mark brainliest
Answer:
The answer is 2 inches
Step-by-step explanation:
U just have to divid 20 by 10 and you get ur answer
I dont get the question
please help me is this a function and explain why
Answer:
No.
Step-by-step explanation:
For functions, there can only be one y-value to every x value, and in this diagram x=0 has two y-values, therefore it is not a function
Answer:Not a function
Step-by-step explanation:In a function, an input can only have one output. So the fact that 0 has two different outputs means it is not a function.
Which equation is the inverse of y = 16x2 + 1?
O y=+T6
x-1
O y =
16
+
Oy AVTO
INX-1
Оy=
Step-by-step explanation:
[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]
The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the inverse of the equation y = 16x² + 1.
To find inverse we need to replace y with x and x with y in the original equation to obtain:
x = 16y² + 1
Now solve for y in terms of x by rearranging the terms
x - 1 = 16y²
Divide both sides by 16
y² = (x - 1)/16
Take square root on both sides.
y = ±√[(x - 1)/16]
Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:
y = ±√[(x - 1)/16]
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
I need help.........,
Answer:
Step-by-step explanation:
p=15-4
p= 11
which angle pairs are congruent? Select all that apply
Answer:
Step-by-step explanation:
The first and last one