Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.
This question is solved by proportions, using a rule of three.The weight of 1 batch, in grams, is of [tex]6.9 \times 10^{-10}[/tex]. How much do the sample of 12 batches weigh?The rule of three is:
1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.
12 batches - x grams
Applying cross multiplication:
[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]
Applying scientific notation:
[tex]8.28 \times 10^{-9}[/tex]
The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.
You can learn more about proportions at https://brainly.com/question/24372153
Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes
Answer:
2430kg
Step-by-step explanation:
3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430
A can of soup is a cylinder with diameter 7 cm.
The can is 10 cm high
The can is full of soup
soup
The soup is poured into a saucepan.
The saucepan is a cylinder with diameter 12 cm.
Work out the depth of the soup in the saucepan.
Give your answer correct to 1 decimal place.
Answer:
3.4 cm
Step-by-step explanation:
We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.
Cylinder volume: πr²h
r = 0.5 * diameter
volume of soup: π(3.5)²10 ≈ 384.845
volume of soup in saucepan: 384.845
For saucepan:
πr²h = π(6)²h = volume = 384.845
36πh = 384.845
divide both sides by 36π to isolate h
h ≈ 3.4 cm
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.
Answer:
Rhombus
Step-by-step explanation:
The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.
Which explanation correctly tells whether these ratios are equivalent and why?
Yes because 3 x 2 = 6 and 14 x 2 = 28.
No because there is no scale factor to get from 3 to 14.
Yes because 3 x 5 = 14 and 6 x 5 = 28.
No because when I use the cross products, 3 x 14 = 42 and 6 x 28 = 168.
Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.
Step-by-step explanation:This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.
=> Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.=> Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.Hoped this helped.
[tex]BrainiacUser1357[/tex]
If a 16 ounce box of pasta costs $1.39, what is the unit price?
Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.
Answer:
$1
Step-by-step explanation:
Sorry the first x is blank
The second x:
$5.06-$2.06=$3
3/3=$1
What value of x makes this equation true? 12x minus 15 = 6 minus 3x.
Answer:
x = 1.4
Step-by-step explanation:
12x - 15 = 6 - 3x
12x + 3x = 6 + 15
15x = 21
x = 1.4
Check:
12(1.4) - 15 = 1.8
6 - 3 (1.4) = 1.8
The value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4
Given:
12x minus 15 = 6 minus 3x
12x - 15 = 6 - 3x
collect like terms
12x + 3x = 6 + 15
15x = 21
x = 21 / 15
x = 1.4
Therefore, the value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4
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I rlly need help on this homework
Hi there! :)
First, let's use the Distributive Property.
It states that
a(b+c)=ab+ac
Therefore
5(2h+8)=10h+40
10h+40<60
Move all the numbers to the right, using the opposite operation:
10h<60-40
10h<20
h<2
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A teen whose hobby is helping others
Good luck.
Hey there!
5(2h + 8) < 60
= 5(2h) + 5(8) < 60
= 10h + 40 < 60
SUBTRACT 40 to BOTH SIDES
= 10h + 40 - 40 < 60 - 40
CANCEL out: 40 - 40 because it gives you 0
KEEP: 60 - 40 because it helps solve for the h-value.
NEW EQUATION: 10h < 60 - 40
SIMPLIFY IT!
= 10h < 20
DIVIDE 10 to BOTH SIDES
= 10h/10 < 20/10
CANCEL out: 10/10 because that gives you 1
KEEP: 20/10 because it gives you the result of the h-value
NEW EQUATION: h < 20/10
SIMPLIFY IT!
= h < 2
Therefore, your answer is: h < 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which function has a greater rate of change?
A.
Y=X4
B.
X Y
-2-11
0-9
2 -7
-
3-6
6-3
pls help if you can.
Answer:
A. 85 B. 87 C. 60
Step-by-step explanation:
As shown in the shapes, A, is a full circle making 360 degrees full. B, a half circle making 180 degrees half. C, a full circle again making 360 degrees full.
A: [360-(132+63+80)]
360 - 275
=85
B: [180(60+33)]
180 - 93
=87
C: [360(120+60+120)]
360 - 300
=60
Select the equation that contains the points (-1, -8) and (3, 4).
Is -4/19 equivalent to 4/-19
Answer:
Yes.
Step-by-step explanation:
Answer:
no.
Step-by-step explanation:
-4/19 is completely different to 4/-19.
Im not sure how to word it but they are two completely different numbers.
pls help me with this:((((
Answer:
See image
Step-by-step explanation:
Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.
The m is the slope, that is the number in front of the x.
The b is the y-intercept, that is the number added on at the end of the equation.
HELP PLS!!
Adding and subtracting vectors in component form
===================================================
Explanation:
Problem 1
If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us
u+v = <a+c,b+d>
The corresponding coordinates pair up and add together.
In this case we have
u = <-3,4>
v = <6,8>
So,
u+v = <-3+6,4+8>
u+v = <3,12>
---------------------
Problem 2
We follow the same idea as the previous problem.
w = <8,-1>
g = <-1,1>
w+g = <8+(-1),-1+1>
w+g = <7,0>
---------------------
Problem 3
Similar to addition, subtracting vectors has us subtract the corresponding coordinates.
The general template is:
u = <a,b>
v = <c,d>
u-v = <a-c,b-d>
With this in mind, we can say the following:
g = <-1,1>
z = <-3,-3>
g-z = <-1-(-3),1-(-3)>
g-z = <-1+3,1+3>
g-z = <2,4>
---------------------
Problem 4
Follow the same idea as problem 3 above.
v = <6,8>
u = <-3,4>
v-u = <6-(-3),8-4>
v-u = <6+3,8-4>
v-u = <9,4>
---------------------
Problem 5
Refer to problem 1.
y = <1,1>
v = <6,8>
y+v = <1+6,1+8>
y+v = <7,9>
---------------------
Problem 6
u = <-3,4>
h = v+y = y+v = <7,9>
u+v+y = u + h
u+v+y = <-3,4> + <7,9>
u+v+y = <-3+7,4+9>
u+v+y = <4,13>
Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.
Find the value of the expression 8a +b, if a=3 and b= 1
a) 23 b) 29 c) 30 d) 25
8a + b
a=3
b=1
(8×3)+1
=24+1
=25
the answer is d)25
a scale model of a building 8 inches tall. if the actual height of the building is 496 feet. what is the scale
Answer:
8 inches= 62 ft
Step-by-step explanation:
496 divided by 8
Plz help me with this
Answer:
sorry cant see the question
Step-by-step explanation:
I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Answer:
8x+29
Step-by-step explanation:
open the brackets the collect like terms together
Which equation represents the line that has a slope of 1/2 and
contains the point (0, 3)?
A y = 1/3x + 1/2
B y = 3x + 1/2
C y = 3/2x
D y = 1/2x + 3
Answer:
Solution given:
slope(m)=½
passing through point (x',y')=(0,3)
now
equation of a line is:
y-y'=m(x-x')
y-3=½(x-0)
y=½x+3
D.y=½x+3 is a required equation of a line.
Select all the ordered pairs that are solutions to the equation 2x+y=−12
(−10, 8)
(−9, −6)
(−8, −2)
(0, −12)
(4, −20)
Answer:
(-10,8)(0,12)(4,-20)
Step-by-step explanation:
You just have to insert the points into the equation and then solve.
Ex: 2(4)-20=-12- True
A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage
The graph of y = x^2 -2x -3
a) Write down the coordinates of the turning point on the graph of y = x² – 2x - 3
(1)
(b) Use the graph to find the roots of the equation r? - 2x - 3 = 0
Answer:
See below
Step-by-step explanation:
A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).
B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).
-
If f(9) = - 3, write a corresponding ordered-pair solution.
Answer:
(9,-3)
Step-by-step explanation:
u just have to plug it up
Write the formula of the sinusoidal function (CORRECT ANSWER WILL BE MARKED BRAINLIEST)
Answer:
The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.
Step-by-step explanation:
Please help me with this it’s is urgent
Answer:
the nominator could be any number here
Step-by-step explanation:
what do you need ? the equation itself is true, if you put the same number in both places above 21.
any number is possible there, it will not change the equation.
so, again, I am not sure, what you need here.
let's write it with a variable to make my statements clearer :
9 + 1 x/21 = 10 x/21
that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.
and then we add the fraction again (x/21).
again, you can put any number instead of x, and it will always be true.
example
9 + 1 4/21 = 10 4/21
What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form
Step-by-step explanation:
Slope-intercept form: y = mx + b
Step 1: Find the slope.Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]
[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]
To solve for the fractions you need a common denominator.
[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]
[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]
To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).
[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]
Step 2: Plug slope and a point into y=mx+b to solve for b.[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b
[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b
[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b
[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]
b = .75
y = [tex]\frac{1}{2}+.75[/tex]
need help asap ………….
Answer:
0.85
Step-by-step explanation:
HOPE THIS HELPS :)
Use the area model to multiply
–
1
4
8q+
1
2
r.
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.
Answer:
no porque algunproblemw
1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Plzz help me
Answer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
which expression simplies to 40x10?
Answer:
i think its 4*1
Step-by-step explanation:
hope this helps
have a great day
~Zero~
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