Answers
To find the constant of proportionality:
⇒ must define constant of proportionality
⇒ Constant of Proportionality: ratio of two proportional values at a
constant value
⇒ (in this case) two proportional values are x and y
The ratio between x and y is equal to
[tex]\frac{y}{x} =\frac{66}{1.2}=55[/tex]
Answer: 55 or Choice 1
Hope that helps!
Related Questions
Find the DIAMETER of a circle for the circumference given.
circumference = 87 km
A) 4 km
C) 12 km
B) 10 km
D) 8 km
Answers
Circumference=87km
Diameter be d
πd=Circumferenceπd=87d=87/πd=27.71kmStumped on this question, please add explanation if you can
Answers
Answer:
C
Step-by-step explanation:
Lets look at all the answer choices:
A and looks like a little number.
B said 7. 7 x 16 = 122 7 x 12 = 84.
122 + 56 = 178. 140 + 84 = 224.
B is incorrect
C said 21. 21 x 16 = 336 21 x 12 = 252
336 + 56 = 392 and 140 + 252 = 392
C is the correct answer.
If the diameter of a youth baseball is 2.8 inches and the diameter of an adult softball is 3.8 inches, what is the approximate difference in their volumes? use 3.14 for pi. round to the nearest tenth. recall the formula sphere volume = four-thirds pi r cubed. 1.0 cubic inch 17.2 cubic inches 40.2 cubic inches 137.8 cubic inches
Answers
The approximate difference in their volumes is 17.2 cubic inches
Volume of a sphereA sphere is a round solid figure, with every point on its surface equidistant from its centre.
The formula for calculating the volume of a sphere is;
V = 4/3πr³
where:
r is the radius of the sphere
Given the following
diameter of youth ball =2.8in
radius of youth ball r = 1.4in
diameter of adult ball =3.8in
radius of adult ball R = 1.9in
Determine the difference in volume
D = 4/3π(R³ - r³)
Substitute
D = 4/3π(1.9³ - 1.4³)
D = 4/3π(4.115)
D =17.2 cubic inches
Hence the approximate difference in their volumes is 17.2 cubic inches
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Answer:
B 17.2
Step-by-step explanation:
Solve the equation. Then check your solution
v/7=3
A.-21
B.21
C.-4
D.10
Answers
Step-by-step explanation:
[tex] \frac{v}{7} = 3 \\ [/tex]
[tex] \frac{v \times 7}{7} = 3 \times 7 \\ [/tex]
[tex]v = 21 \\ [/tex]
Answer:
Option B is correct i.e. 21Step-by-step explanation:
In the question we're provided with an equation that is :
v/7 = 3And we are asked to find the solution for the equation .
Solution : -
[tex] \longrightarrow \: \frac{v}{7} = 3[/tex]
Multiplying by 7 on both sides :
[tex] \longrightarrow \: \frac{v}{ \cancel{7} }\times \cancel{7} = 3 \times 7[/tex]
On further calculations , we get :
[tex] \longrightarrow \: \blue{\boxed{v = 21}}[/tex]
Therefore , solution for equation is 21 .That means option B is the correct answer.Verifying :
We are verifying our answer by substituting value of v in the equation given in question :
[tex] \longrightarrow \: \frac{v}{7} = 3[/tex]
Putting value of v :
[tex] \longrightarrow \: \cancel{\frac{21}{7}} = 3[/tex]
By dividing 21 with 7 , we get :
[tex] \longrightarrow \:3 = 3[/tex]
[tex] \longrightarrow \: L.H.S=R.H.S[/tex]
[tex] \longrightarrow \: Hence , \: Verified.[/tex]
Therefore , our answer is valid .#Keep LearningPlss help i will give 100 for the right answer
Answers
A tree struck by lighting broke at a point 13 ft above the ground as shown. What was the height of the tree to the nearest tenth of a foot?
13² + 38² = c², so 169 + 1444 = c², 1613 = c², and 40.2 ≈ c.
Add this length to the height of the bottom tree: 40.2 + 13 = 53.2 ft.
The height of the tree was about 53.2 ft.
Explanation:
Solved using pythagoras theorem.
In the ordered pair below, which value represents the output of a function?
(4, 20)
Answers
Answer:
4 units to the right on the x- axis & 20 units up on the y-axis
Step-by-step explanation:
X-Axis= horizontal-------
Y-Axis= Vertical I I I
The first ordered pair is 4 which goes on the X axis (left to right) left is negative right is positive.
next is 20 on the y axis (up and down) . the y axis is like an elevator up is positive and down is negative
What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?
Answers
Step-by-step explanation:
the area of a circle (all 360°) is
pi×r²
with r being the radius.
the area of a circle segment is just the corresponding fraction of the whole circle.
so the area of a segment of x degrees is
pi×r² × x/360
in our case we know
pi×42240² × x/360 = 180 mi²
we also know that there are 5280 ft in 1 mile.
so, the radius is actually
42240 / 5280 = 8 miles
and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :
pi×8² × x/360 = 180 mi²
pi×64 × x/360 = 180
pi×64 × x = 180×360
pi×x = 180×360/64 = 1012.5
x = 1012.5/pi = 322.2887598...°
so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°
What is the best name for angle Y?
Triangle X Y Z. Side X Z extends to form angle W.
exterior angle
alternate interior angle
remote interior angle
adjacent interior angle
Answers
Answer:
Exterior angle.
Step-by-step explanation:
by my analysis
if hey said triangle XYZ
it should mean each exterior angle is named either X, Y, or Z.
so angle Y should be an exterior angle (outside angle).
but the angle formed by X and Z will be an interior angle (inside angle).
Hope this helps .
Answer:
The answer is C: Remote Interior Angle
Step-by-step explanation:
Took the Test.
Two prisms are similar and their ratio of similarity is 2:5.
Find the area of a base of the larger prism if the area of a base of the smaller prism is 31 square units.
Round to the nearest hundredth.
help fast please
Answers
Answer:
77.5 square units
Step-by-step explanation:
set up a proportion first.
[tex] \frac{2}{5} = \frac{31}{x} [/tex]
then, cross multiply
2x = 155
divide by 2
x = 77.5
The area of the base of the larger prism is approximately 193.75 square units.
How to calculate the area?If two prisms are similar, then their corresponding sides are proportional. Let the smaller prism have a base area of 31 square units, and let the corresponding side of the larger prism have length x.
Since the ratio of similarity is 2:5, we have:
x / s = 5/2
where s is the length of the corresponding side of the smaller prism. Solving for x, we get:
x = (5/2) x s
We know that the area of the base of a prism is given by the formula:
A = s²
Substituting the value of s in terms of x, we get:
A = ((5/2) x s)²
A = (25/4) x s²
Substituting the value of s² in terms of the area of the smaller prism, we get:
A = (25/4) x 31
A = 775/4
A = 193.75 square units
Therefore, the area of the base of the larger prism is approximately 193.75 square units.
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Asked about this yesterday, can someone please help! I really need to pass my math class!
Answers
Answer:
use area
Step-by-step explanation:
we can't use volume here since we are dealing with the outside part only
so area of a cylinder is =πr²h
our r represents the radius which is diameter/2
r=7.5/2
=3.75m
our h represents height which is 12.5m
so put in our formula
area = π×(3.75)²×(12.5)
=552.2330836m³
that's it dear
give my answer a brainliest
For large parties A restaurant adds a 15% service charge to the bill how much would be added to a bill of 638. 40
Answers
Answer:
95.76$
Step-by-step explanation:
Calculate 15% of 638.40$
we have 15%/100% x 638.40
which is 95.76$
It means that a charge of 95.76$ will be added to an amount of 638.40$
Change 2700 mL to litres
Answers
Answer:
the answer is 2.7litres
Answer: 2.7litres
Step-by-step explanation: 1000ml makes 1litre
2700÷1000=2.7
i) Given that a = 1, b = 3, c = 7, evaluate abc
Answers
Hope it helps
If we weren't given the values of the variables, it would be impossible to simplify the expression any further.
Luckily, we are given the value of each of the three variables.
The value of a is 1 :
1bc
or
bc
The value of b = 3 :
3c
Finally, the value of c is 7 :
3*7
21
Evaluated Expression ↓21
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
3. 4[√(3)] - 7[√(3)]
Answers
[tex]4\sqrt 3 - 7 \sqrt 3\\\\=(4-7) \sqrt 3\\\\=-3\sqrt 3[/tex]
I need the answer to this question
Answers
Answer:
its either 2 or 4 because a triangle can't change its shape it need to be the same shape
Answer:
2, 3, and 4.
Step-by-step explanation:
The only answer that would result in a non-congruent triangle would be Option 1. It is asking you to dilate by a scale factor of 2 which would make the triangle 2 times bigger. In that case, the triangle to not be congruent.
Reflections, Rotations, and Translations do not change the size of the triangle which means it remains congruent.
Find the least common multiple 18, 9
Answers
Answer:
The common multiple is 18
Step-by-step explanation:
Because 9*2=18 and 18*1=18
Answer:
Simply 18.
Step-by-step explanation:
18 = 2*9
If A = 26, B = 19.5, then C =
Answers
Answer:
Asuming this is a triangle: C = 32.5
Step-by-step explanation:
Asuming this is a triangle:
Use the pythagorean Therom:
[tex]A^2 + B^2 = C^2[/tex]
[tex]26^2 + 19.5^2 = C^2[/tex]
[tex]676+380.25=1056.25[/tex]
[tex]C= \sqrt{1056.25}[/tex]
[tex]C= 32.5[/tex]
36 A community center is collecting blankets. The director of the center has asked 135 families
to donate 3 blankets each. If 20% to 40% of the families donate 3 blankets each, which of
these could be the number of blankets the center collects from these families?
F 240
G 50
H 110
J 170
Answers
Answer: H is between 81 And 162
Step-by-step explanation: 20/100 ×135/1 = 27 FamilieFamilies with 81 Blankets
40/100 × 135/1 = 54 families with 162 Blankets
For each figure, find x.
Answers
Step-by-step explanation:
[tex]9 \\ {x}^{2} = 225 \\ x = 15 \\ .......... \\ 10 \\ {x}^{2} = 676 \\ x = 26[/tex]
solve for x : -2 + x = 3
Answers
Answer:
x = 5
Step-by-step explanation:
- 2 + x = 3
x = 3 + 2
x = 5
______
Hope it helps ⚜
Answer
- 2 + x = 3
5 = x
HELP ME OUT PLS!!!!! I ONLY HAVE 1 MIN LEFT TO FINISH MY WORK!!! 20 PTS
1. Referring to the table above, how would you graph the solution set representing students that receive a note sent home to parents?
Draw points on the integers to the right of, and including, 0.
Draw points on the integers to the left of 0.
Draw points on the integers to the right of 0.
Draw points on the integers to the left of, and including, 0.
2. Tomas is leaving a tip of 18% of his original bill. If the amount of the tip is $2.34, which of the following equations can be used to find the amount of his original bill?
0.18b = 2.34
b - 0.18 = 2.34
2.34 x 0.18 = b
b/2.34 = 0.18
Answers
Answer:
It would be $13 as the original bill
But the correcy answer is D
Step-by-step explanation:
The diagonal of a rectangle is 12 in and intersect at an angle to make a 60 degree angle. Find the perimeter of the rectangle
Answers
The perimeter of the rectangle whose diagonal is 12in and intersects at an angle to make a 60 degree angle is; 32.8in.
What is the perimeter of the rectangle?The rectangle as described above has it's Diagonals intersect at their midpoints, i.e at length = 6in.
On this note, the right angle triangles formed each have other two sides to be;
x = 6 sin 60 and y = 6 Cos 60 respectively.From the statement above, the values of x and y are 5.2 and 3.
Hence, the perimeter of the rectangle is;
2(2x + 2y) = 32.8 inches.Read more on perimeter of a rectangle;
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78. Using your own words, explain the
difference between a polynomial with five
terms and a polynomial with a degree of 5.
Answers
Answer:
terms are like 2x 2x^2 3x ect. polynomials with a degree of 5 is where the term that has the highest exponent is the degree
Step-by-step explanation:
^
In a school, 2/3 the students study a language.
Of those who study a language, 2/5 study French.
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form?
Answers
Answer:
4:11
Step-by-step explanation:
let's say there 15 students, 10 of them study a language. Of the 10, 4 (the 2/5) study french, so of the 15 students 4 study french, making it 4:11.
10/15
2/5 - French
2/5: 10/15
5:3
Find the surface area and volume of a cube with a cylinder cut out
Cylinder has 1m radius, cube: 6m
Answers
Answer:
247.42 m^2 to the nearest hundredth
Step-by-step explanation:
The surfaces area of the side of the cylinder = 2πrh
= 2π(1)(6)
= 12π m^2.
Now we need the surface area of the cube minus the 2 circles at each end of the cylinder
= 6^3 - 2πr^2
= 216 - 2π
So the required surface area
= 12π + 216 - 2π
= 217 + 10π
= 247.4159 m^2
A box has 26 pens —6 red, 8 green, 5 blue, and 7 black. Sam picks two pens at a time without replacement. What is the probability that Sam picks two blue pens?
Answers
Answer:
2/65
Step-by-step explanation:
trust me
The probability that Sam picks two blue pens is,
⇒ 5 / 26
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A box has 26 pens —6 red, 8 green, 5 blue, and 7 black.
Here, Sam picks two pens at a time without replacement.
Hence, We get;
The probability that Sam picks two blue pens is,
⇒ P = 5 / 26
Thus, The probability that Sam picks two blue pens is,
⇒ 5 / 26
\
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The ratio of the number of bananas to the number of apples at a fruit stand is 3:5. Moe says that the ratio is equivalent to 12:25.
Answers
Answer: Moe is wrong.
Step-by-step explanation:
Moe is incorrect because 25 divided by 5 equals 5 (constant of proportionality) but 12 divided by 3 does not equal 5 (it equals 4)
exact side length of a cube of 55 units
Answers
Answer:
3.68
Step-by-step explanation:
55 = l x w x h
what x what x what would equal 55
5 x 11 = 55
so
You get a qoute for insurance on your forester. They qoute you $1,860 for 1 year. How much is your insurance payment per month?
Answers
problem explanation: 1 year = 12 months
1860/12= 155
Answer:
$155
Step-by-step explanation:
PLS ANSWER FAST!! WILL GIVE BRAINLIEST!!
Answers
Answer:
See below
Step-by-step explanation:
27 ^1/5 is the radical sign with a 5 in the V portion and 27 under the horizontal bar portion ====> the 1/5th root of 27
Answer:
⁵ 27
i dont know how to get the line think