1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
3 years ago
15

What is 9.286 as a mixed number

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0
9.286 

[To change to mixed number, count the number of digits after the decimal point. There are 3 digits, so the denominator will be 1000]

9.286 = 9 \frac{286}{1000}

Then we simplify the fraction
(286 ÷ 2)/(1000÷2) = 143/500

Therefore,
9.286 = 9 \frac{286}{1000}
9.286 = 9 \frac{143}{500}

Amiraneli [1.4K]3 years ago
8 0
Hello there,

9.286=9 286/1000--> <span><span>9 143/500</span></span>
You might be interested in
What additional information can be used to prove ΔDSB ≅ ΔTSR by SAS?
Elden [556K]

Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.

As per that diagram, RS\cong SB (which is given)

and we know that \angle DSB\cong \angle RST (vertically opposite angles).

Thus, the only way ΔDSB ≅ ΔTSR by SAS is when DS\cong ST as indicated in the diagram.

Thus, DS\cong ST is the correct answer.


8 0
3 years ago
Read 2 more answers
A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material for the sides of the can costs
iogann1982 [59]

Answer:

r=3.628cm

h=12.093cm

Step-by-step explanation:

For this problem we are going to use principles, concepts and calculations from multivariable calculus; mainly we are going to use the Lagrange multipliers method. This method is thought to help us to find a extreme value of a multivariable function 'F' given a restriction 'G'. F represents the function that we want to optimize and G is just a relation between the variables of which F depends. The Lagrange method for just one restriction is:

\nabla F=\lambda \nabla G

First, let's build the function that we want to optimize, that is the cost. The cost is a function that must sum the cost of the sides material and the cost of the top and bottom material. The cost of the sides material is the unitary cost (0.03) multiplied by the sides area, which is A_s=2\pi rh for a cylinder; while the cost of the top and bottom material is the unitary cost (0.05) multiplied by the area of this faces, which is A_{TyB}=2\pi r^2 for a cylinder.

So, the cost function 'C' is:

C=2\pi rh*0.03+2\pi r^2*0.05\\C=0.06\pi rh+0.1\pi r^2

The restriction is the volume, which has to be of 500 cubic centimeters:

V=500=\pi r^2h\\500=\pi hr^2

So, let's apply the Lagrange multiplier method:

\nabla C=\lambda \nabla V\\\frac{\partial C}{\partial r}=0.06\pi h+0.2\pi r\\\frac{\partial C}{\partial h}=0.06\pi r\\\frac{\partial V}{\partial r}=2\pi rh\\\frac{\partial V}{\partial h}=\pi r^2\\(0.06\pi h+0.2\pi r,0.06\pi r)=\lambda (2\pi rh,\pi r^2)

At this point we have a three variable (h,r, λ)-three equation system, which solution will be the optimum point for the cost (the minimum). Let's write the system:

0.06\pi h+0.2\pi r=2\lambda \pi rh\\0.06\pi r=\lambda \pi r^2\\500=\pi hr^2

(In this kind of problems always the additional equation is the restricion, in this case, V=500).

Let's divide the first and second equations by π:

0.06h+0.2r=2\lambda rh\\0.06r=\lambda r^2\\500=\pi hr^2

Isolate λ from the second equation:

\lambda =\frac{0.06}{r}

Isolate h from the third equation:

h=\frac{500}{\pi r^2}

And then, replace λ and h in the first equation:

0.06*\frac{500}{\pi r^2} +0.2r=2*(\frac{0.06}{r})r\frac{500}{\pi r^2} \\\frac{30}{\pi r^2}+0.2r= \frac{60}{\pi r^2}

Multiply all the resultant equation by \pi r^{2}:

30+0.2\pi r^3=60\\0.2\pi r^3=30\\r^3=\frac{30}{0.2\pi } =\frac{150}{\pi}\\r=\sqrt[3]{\frac{150}{\pi}}\approx 3.628cm

Then, find h by the equation h=\frac{500}{\pi r^2} founded above:

h=\frac{500}{\pi r^2}\\h=\frac{500}{\pi (3.628)^2}=12.093cm

4 0
3 years ago
A desk is on sale for $380 which is 20% of the original price. Which equation can be used to determine the amount of money saved
elena-s [515]

Answer:

S = 380 - 380*80%

Step-by-step explanation:

Given:

  • The original price of the desk: $380
  • Discount: 20%

So, the new price of the desk after discounting is:

380(100% - 20%)

= 380*80%

= 304$

The amount of money saved: 380 - 304 = 76$

Hence, the equation can be used to determine the amount of money saved is:

Saving = 380 - 380*80%

Hope it will find you well.

8 0
3 years ago
Read 2 more answers
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 in
lukranit [14]

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

6 0
2 years ago
On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg
DaniilM [7]

Answer:

Slope of PQ = 0

Slope of MN = infinity

PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points  (x1, y1),  (x2, y2)given in coordinate plane slope is given by

y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\

For any line if slope is zero it is parallel  to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel  to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel  to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel  to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help and dont just say hope you get it​
    14·1 answer
  • Rename each decimal as a percent:
    9·1 answer
  • What is the length of AC?<br><br> 3 ft<br> 4 ft<br> 9 ft<br> 18 ft
    11·1 answer
  • Find the slope for 5x+y=8
    13·1 answer
  • How many right angles can be in an obtuse angle?
    7·2 answers
  • Because of the commutative property of multiplication, it is true that 3/4 x 4 = 4 x 3/4
    5·1 answer
  • Please I need help The original price of a car was reduced by $3000. Its discount price is now 16000
    12·1 answer
  • Really easy for some people DUE TONIGHT AT 11:59
    15·1 answer
  • M∠E=(8x−16) ∘ , m∠F=(x+8) ∘ , m∠G=(2x−10) ∘ . What is the value of x?
    8·1 answer
  • WILL GIVE BRAINLYEST!!!. Clara visits the aquarium while on vacation. The aquarium is 2 1/2 miles from her hotel. She walks 1/4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!