Answer:
2396
Step-by-step explanation:
Let the diameter = d
Let the height = h
Formula
Metric Tons = k * d^4 / h^2
Solution
Metric Tons = 64
d = 2
h = 9
k = ?
(You can't do the second part by not using a ratio unless you put k in and solve for it)
64 = 2^4 k / 9^2
64 = 8 *k / 81
64 * 81 / 8 = k
5184 / 8 = k
k = 648
Solve for the second example
Metric Tons = d^4 * k / h^2
Metric Tons = ?
d = 5
h = 13
k = 648
Metric Tons = 5^4 * 648 / 13^2
Metric Tons = 625 * 648 / 169
Metric Tons = 2396 rounded.
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.
Answer:
The second one. (The triangle is not acute because 2+4>5)
Step-by-step explanation:
If you try to make the triangle, one angle would be obtuse so it's not acute.
Pls give brainly, im trying to get the most possible :>
- A jar contains 55 quarters and dimes. The total value of the coins is $8.50. Find the
number of quarters and dimes in the jar.
Answer:
20 quarters and 35 dimes.
Step-by-step explanation:
Let number of quarters = q
Therefore number of dimes = 55 - q
By condition, q * 25 + (55 - q) * 10 = 850 [all converted to cents]
25q + 550 - 10q = 850
25q - 10q = 850 - 550
15q = 300
q = 300/15 = 20
Therefore, number of quarters = 20
and number of dimes = 55 - 20 = 35
The profit (p) a baker earned, in dollars, is proportional to the number of muffins (m) sold. This equation represents this relationship.
P = 0.75m
enter the profit earned for each muffin sold.
P = 0.75m represents the proportional relationship, therefore, the profit earned for each muffin sold is: $0.75.
What is Proportional Relationship?If two variables, i.e. P and m are directly proportional to each other, the relationship between them can be represented as P = km, where k is the constant.
Given that P = 0.75m represents the proportional relationship between the profit earned and muffins sold, the constant, k, is 0.75, which is the profit earned for each muffin sold.
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plug in 3 for the equation y=-x^2+12x-20
Step-by-step explanation:
y=(-x^2)+12x-20
=(-(3)^2)+12(3)-20
=(-9)+36-20
=16-9=7
y=7
I hope it helped you
Find the volume.
10 km
8 km
4 km
6 km
Answer:
1920
Step-by-step explanation:
10 x 8 = 80
80 x 4 = 320
320 x 6 = 1920
when he saw 9 customers walk in. He already had 31 wings cooked, but started cooking 32 more. The customers bought all the wings and split them equally. How many wings did each person get?
Answer:
7
Step-by-step explanation:
31 Wings (already cooked)
+ 32 Wings (started cooking)
= 63 Wings total
divided by 9 customers
= 7 per person
can anyone help me with this? no links
Answer:
Step-by-step explanation:
as you see the top "moves" like
2,4,6,8, and next will be 10
the bottom adds 3 to the previos answer
5,8,11,14, next will be 15
5th card is 10/15
A rectangular rug has side lengths of (x- 2) feet
space does it cover?
and (x + 3) feet. How much floor space does it cover
Hi!
Your answer is [tex]x^2+x+6[/tex]
We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.
Dimensions:
(x - 2) x (x + 3)
Area of a rectangle:
Length x Width = Area
Plug dimensions into the formula:
[tex](x - 2)(x +3)[/tex]
Use the Distributive Property and FOIL method to solve (if you are not familiar with the FOIL method, see the image attached below):
[tex]x^2+3x-2x-6[/tex]
Combine like terms:
[tex]x^2+x-6[/tex]
Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.
Are the ratios 7:9 and 3:6 equivalent?
Answer: No
Step-by-step explanation:
Pieces of a puzzle snap together to form composite figures. What is the area of the puzzle pieces above?
Answer:
Male and Female
Step-by-step explanation:
The male connecting piece is outward and the female is inward.
The volume of a cone is 36π in3
What is the volume of a cylinder with the same radius and height as this cone?
Answer:
[tex]\:V_{cylinder}=108\pi\: in^3[/tex]
Step-by-step explanation:
[tex] V_{cone} = 36\pi\: in^3[/tex] (Given)
[tex]\bold{To\: find:} \:V_{cylinder} [/tex]
It is given that: Cylinder has same base radius and height as that of cone.
[tex]\implies \:V_{cylinder}=3( V_{cone} ) [/tex][tex]\implies \:V_{cylinder}=3(36\pi\: in^3) [/tex][tex]\implies \:V_{cylinder}=108\pi\: in^3[/tex]Without using a calculator, order the following expressions from least to greatest.
3 square root 27, pie, square root 8
Zoe has a collection of 56 seashells. Then, she goes on a 3-day beach vacation and finds 12 new seashells each day. Which expression tells you the total number of seashells in Zoe's collection after her vacation? 56+(3+12) or 56+(3times12)
2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true
plsss help :)))
Answer:
x = -9/2
Step-by-step explanation:
1. Divide 9 by -1/3:
[tex]\frac{9}{1}[/tex] ÷ [tex]-\frac{1}{3}[/tex] = [tex]\frac{9}{1}[/tex] · [tex]-\frac{3}{1}[/tex]
= -27
2. Divide both sides by 2:
2(x - 9) = -27
[tex]\frac{2(x-9)}{2} = \frac{-27}{2}[/tex]
(x - 9) = [tex]-\frac{27}{2}[/tex]
3. Add 9 to both sides:
x = [tex]-\frac{9}{2}[/tex]
(or 4.5 if you need it in decimal form)
hope this helps!
Andrea bough a bucket of colored chalk. The list below shows the fraction of each color of chalk in the bucket. 2/6 are yellow, 5/12 are blue, and 3/12 are green. Andrea told Michelle that less than 1/2 the chalk in the bucket is blue. Michelle said she is mistaken. Who is correct? Explain why you chose your answer.
Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.
How to solve fractions?Yellow = 2/6Blue = 5/12Green = 3/12Total = 2/6 + 5/12 + 3/12
= (4+5+3) / 12
= 12/12
= 1
Fraction of blue : Total chalk
= 5/12 : 1
Blue = 5/12 ÷ 1
= 5/12 × 1/1
= 5/12
= 0.42
So,
1/2 = 0.5
Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.
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Christina wants to make a quilt. She purchases 1 ½ yards of blue fabric, ⅔ yards of polka dot fabric, and ⅝ yards of red fabric. How much total fabric did she buy?
*Please provide an explanation, thank you :) *
Answer:
2 19/24
Step-by-step explanation:
5/8 + 2/3= 1 7/24
1 7/24 + 1 1/2= 2 19/24
Answer:
67/24 or 2 19/24
Step-by-step explanation:
You can find a common multiple for all of the fractions.
24 is going to be the common multiple.
1 12/24+16/24+15/24
Point A is located at (-3, 0) and is rotated 90°. What are the coordinates of point A'?
(-3, 0)
(0, -3)
(3, 0)
(0, 3)
Answer:
(0,-3)
Step-by-step explanation:
Rotating a point 90° from the second quadrant to the third on a (x,y) graph follows the transformation,
(x,y) → (-x,y)
Write your own equation in slope-intercept form and graph.
Answer:
No se
Step-by-step explanation
Espero Averte Ayudado:
pls help me wirh this
Answer:
They will have 3 dollars left because they can buy 46 cartons. 46 cartons costs $184 dollars so 3 dollars left over from the budget
Step-by-step explanation:
What is the multiplication problem that means the same thing as the division problem 1/9 divided by 12?
1/9 x 12
1/9 x 1/12
9/1 x 12
1/12 x 108
Answer:
B
Step-by-step explanation:
We must find the reciprocal of 12, which is 1/12. This means 1/9 divided by 12 is 1/9 times 1/12.
4. The figure below shows three small circles, each with a diameter of 6 centimeters, inside a larger
circle.
.6.cm ....6.cm ..Y. 6 cm
What is the approximate area of the shaded part of the figure? Use 3.14 for .
A. 169.56 square centimeters
B. 678.24 square centimeters
C. 254.34 square centimeters
D. 226.08 square centimeters
Answer: A
Step-by-step explanation:
Last year, Michael biked 318 miles. This year, he biked m miles. Using m , write an expression for the total number of miles he biked.
Answer:
318 + m =total amount of miles
What is the surface area of this square pyramid?
o 72 cm2
o 384 cm
o 204 cm
o 240 cm2
The surface area of this square pyramid is,
⇒ SA = 296 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
To find the surface area of this square pyramid
Now, We know that;
the surface area of this square pyramid is,
⇒ SA = B + 1/2 pl
Where, B represents the area of the base. p represents the perimeter of the base. l represents the slant height.
Now, We get;
B = 12 x 8
B = 96
p = 2 (12 + 8)
p = 40
l = 10
Thus, the surface area of this square pyramid is,
⇒ SA = B + 1/2 pl
⇒ SA = 96 + 1/2 x 40 x 10
⇒ SA = 96 + 200
⇒ SA = 296 cm²
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The force-extension data for a spring are recorded in the graph below. Assuming force is measured in newtons and
extension in meters, what is the spring constant for this spring?
∆ F/ ∆e = K
(5.4-2.1)/(1.8-0.7)= K
3.3/1.1 = K
K = 3
At store A a pair of shoes is
on sale for 25% off the
regular price of $30. At store
B the same pair of shoes is
on sale for 20% off the
regular price of $28. What is
the difference between the
sales price of the two stores?
Answer:
the.answer is a a pair of shoes is on sale for 25% off the regular 30 at the store
Ssolve 2 and 6, only if you know cuz I'm stuck on this
Answer:
2. Linear Pair Prostulate
6. Transitive Property
Step-by-step explanation:
how many square feet of outdoor carpet will we need for this hole? 4ft 12ft 8ft 3ft
Answer:
56ft
Step-by-step explanation:
first you need to break the shape u so 1 rectangle and 2 triangles so first we need to find the area of the rectangle
Area of rectangle= w x h so 5* 8= 40
Area of triangle = .5 x b x h so 4 x 4 x .5 = 8 and since we have 2 double that and you get 16 so then you need to add it all up and u get the answer 56
Which shape is represented by the cross section below?
circle
cylinder
cone
ellipse
Answer:
cylider?
Step-by-step explanation:
A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thus central angle
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}[/tex]
The town of Lantana needs $14,000 for a new playground. Lantana
Elementary School raised $5,358, Lantana Middle School raised
$2,834 and Lantana High School raised $4,132.
About how much more money do they need to raise? Choose the best
estimate.
Answer:
1676
Step-by-step explanation:
14,000-5,358-2,834-$4,132 = 1676