Answer:
p varies inversely with t⁴Step-by-step explanation:
Direct variation:
y = kx, where k is constantInverse variation:
y = k/x, where k is constantGiven:
p = kq (1)and
√q = k/t² (2)From the first equation we can see:
kq = p ⇒ q = (1/k)p ⇒ q = np, where n is a constantIt means if p varies directly as q, then q directly varies as p.
Square the second equation:
q = k²/t⁴ = m / t⁴, where m is constantSince p varies directly as q and q varies inversely with t⁴, we can state p varies inversely with t⁴.
A package of 4 pairs of insulated gloves costs $21.56. What is the unit price of the pairs of gloves?
Answer:
Your answer is $5.39.
Step-by-step explanation:
There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)
James is following this recipe to make flapjacks.
James uses 330 mL of syrup.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
100 g sugar
110 mL syrup
220 g oats
165 g margarine
30 g sultanas
Answer:
24 flapjacks
Step-by-step explanation:
330 / 110 = 3
8 *3 = 24
Colin hits a ball 5 times out of 12 times is thrown to him based on that rate what is approximate probability that coin will hit the next ball that is thrown to him
A spoonful of ice cream contains 0.006 mg of iron. How much iron
would Mr. Lin consume if he ate 100 spoonfuls?
O is the centre of the circle. Determine the value of s to the nearest tenth, if necessary.
a) 6.7
b) 7
c) 77
d) 9.2
A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
if 14 karat gold necklace weighs 1.8 ounces how many ounces of pure gold does it contain
Answer:
1.05 ounces
Step-by-step explanation:
Purest gold is 24 karat
So ATQ:
(14/24) X 1.8=1.049 OR SAY 1.05(ROUNDED OFF)(simplify)
i will give brainliest if correct
3 √2x8
3√2 × 8
= (3 × 8) √2
= 24√2
= 33.941
= 34 (approx.)
______
Hope it helps!
RainbowSalt2222 ☔
the answers of 3 √2x8 is 12
In figure BC = CA and ∠A = 40°. Then ∠ACD is...
a)40° b) 80° c) 120° d) 60°
Answer:
B
Step-by-step explanation:
The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's
Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)
Answer:
b. 80°
Step-by-step explanation:
B is 40°
A triangle has 180°
40 + 40 + x = 180
80 + x = 180
x = 100
Since it's a supplementary angle...
180 - 100 = 80
how to simplify 3x - 20
Answer:
-60
Step-by-step explanation:
you can just do 3x20, which makes sixty, then put change that to negative, since there is a negative in the number
help me urgent thankyouu
Answer:
The answer is B.
Step-by-step explanation:
0.0605
Write the following numbers in order of size. Start with the smallest number. -8 2 -12 5 10
Answer:
-12, -8, 2, 5, 10
Step-by-step explanation:
-12, -8, 2, 5, 10
Answer:
-12, -8, 2, 5, 10
Step-by-step explanation:
We have to remember here that when integers are negative, the number that looks the biggest is actually the smallest! What do I mean? Well, a value of -100 is actually way smaller than a value of -1, since it's a lot farther to the left of 0 than -1 is. Does that make sense?
Let's take that in mind as we start looking at our values. If what I just said is true, -12 is the smallest value, since it's the farthest to the left of 0. Then comes -8. From there, it's not too hard. 2 is the next smallest, then 5, and finally, 10 is our greatest number.
So, our answer is -12, -8, 2, 5, 10. Hopefully that's helpful! :)
help me pleaseeeeee!!!!!!
Answer:
A' (1, -1) B' (4, -5) C' (6, -2)
Step-by-step explanation:
Since you're reflecting over the x (horizontal) axis, the y value has to change to show the height is increasing or decreasing (Decreasing in this case).
A (1, 1) --> A' (1, -1) So (x,y) becomes (x,-y)
Hope this helps!
What is 3, 4, 5, 6, and 7.
x + 3y = 5
x + 2y = 3
Solve by using elimination
Answer:
(x, y) = (-1, 2)
Step-by-step explanation:
The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)
(x +3y) -(x +2y) = (5) -(3)
y = 2 . . . . . . . simplify
x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x
The solution is (x, y) = (-1, 2).
Find the values of x and y.
Answer:
y= 132, x= 32.6
Step-by-step explanation:
Let me know if this is right!
Hope it helps
A car is sold for £7,800 If this represents a depreciation in value to 60% of its original
price, then calculate the original price of the car.
Answer:
6,543
Step-by-step explanation:
This is my guess ONLY.
Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?
Answer:
x = 5 unitsStep-by-step explanation:
Use the proportion we have to find the horizontal length:
y = 2xWhen y = 10, the value of x is:
10 = 2xx = 10/2x = 5[tex]\\ \sf\longmapsto y=2x[/tex]
Vertical length=yHorizontal length=xPut y=10 in equation
[tex]\\ \sf\longmapsto 10=2x{/tex]
[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]
[tex]\\ \sf\longmapsto x=5units[/tex]
A corporation earned its profit of 2.5x10^4 for 1x10^3 days in a row. What was the corporation's total profit during this time?
Answer:
$2.6 x 10^4
Step-by-step explanation:
someone please help me i'll mark brainliest
Answer:
4-9/5
Step-by-step explanation:
I think so but if not sorry
how can I solve this
1/2 of 20
Answer:
Just multiply over here
1/2 *20
1/2 * 20/1
20/2
10
answer is 10
Answer:
10
Step-by-step explanation:
multiply (1/2) by 20
10
-2.7 = a - 3.3
what’s the operation
is it an inverse or a reciprocal
what does A=
Help ASAP
Answer:
a= 0.6
Step-by-step explanation:
This is the answer...........
Answer:
It is reciprocal.
A = 0.6
Step-by-step explanation:
Reciprocal” means “equality,”
To find the A. Use APE or Additive Property of Equality
-2. 7 = a - 3.3
-2.7 + 3.3 = a
0. 6 = a
Find the slope of this line
Answer:
0
Step-by-step explanation:
We can use the two points given, which are (-4, -2) and (3, -2), to solve for the slope and answer the question. We have to subtract the y-values and then subtract the x-values. Those differences, divided, give us our slope, as shown below:
[tex]\frac{-2-(-2)}{-4-3} =\frac{-2+2}{-4-3} =\frac{0}{-7} =0[/tex]
So, the slope is 0. If you have any more questions on finding slope, or found what I just did confusing, let me know so I can help you! :)
make your own dish pantry package potluck portfolio
Answer:
huh??
Step-by-step explanation:
Plz help me with this one
Answer:
5/6
Step-by-step explanation:
-5x-3=-9
Add 3 to both sides.
-5x=-6
Divide both sides by -5.
x=5/6
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
0.57,0.66,0.75,0.84 what are the next three numbers
Step-by-step explanation:
since the difference between all the numbers is 0.09 so to get the next three numbers you add o.o9 to 0.84 the answer u get add it with 0.09 until u get the numbers u are asked to look for
HELP PLSASE: Find the solution of the system of equations.
2
x
+
4
y
=
2x+4y=
−
16
−16
−
2
x
+
2
y
=
−2x+2y=
−
2
−2
Answer:
Step-by-step explanation:
x
=
−
24
y
=
10
Explanation:
x
+
4
y
=
16
2
x
−
4
y
=
8
Subtract the bottom equation from the top one so the
+
4
y
and
−
4
y
cancel each other out.
−
x
=
24
x
=
−
24
x
+
4
y
=
16
−
24
+
4
y
=
16
4
y
=
40
y
=
10
The area of a square is 300 feet. What is the side length of the square? Round to the nearest tenths place.
Answer:
17.3
Step-by-step explanation:
square root of 300 is 17.32050808
17.32050808 rounded is 17.3
PLEASE HELP WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
Expressing the identity in terms of a and b
(a + b)³ = a³ + b³ + 3ab(a + b)
Subtract 3ab(a + b) from both sides , then
a³ + b³ = (a + b)³ - 3ab(a + b) ← substitute given values
a³ + b³ = 12³ - 3(7)(12) = 1728 - 252 = 1476
Step-by-step explanation:
I hope you get it. you have to substitute and also find the value of a3 + b3