Answer: they can weigh 15 and 20 pounds
Step-by-step explanation:
PLS HELP ME I WILL GIVE BRAINLIEST!
Topic: solving word problems involving linear equations in one variable .
If a number is added to 4 less than 5 times itself, the result is 27. Find the number.
Answer:
4-5x+x=27
Step-by-step explanation:
5x+x =27+4
=5x+x=31
x+x=31/5
2x=31/5
2x=6.2
x= 6.2/2
x=3.1
A flat circular plate has the shape of the region x squared plus y squared less than or equals 1.The plate, including the boundary where x squared plus y squared equals 1,is heated so that the temperature at the point (x comma y )is Upper T (x comma y )equalsx squared plus 2 y squared minus three halves x.Find the temperatures at the hottest and coldest points on the plate.
Answer:
We have the coldest value of temperature [tex]T(\frac{3}{4},0) = -9/16 [/tex]. and the hottest value is [tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex].
Step-by-step explanation:
We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.
The temperature equation is:
[tex]T(x,y)=x^{2}+2y^{2}-\frac{3}{2}x[/tex]
Let's take the partials derivatives.
[tex]T_{x}(x,y)=2x-\frac{3}{2}=0[/tex]
[tex]T_{y}(x,y)=4y=0[/tex]
So, we can find the critical point (x,y) of T(x,y).
[tex]2x-\frac{3}{2}=0[/tex]
[tex]x=\frac{3}{4}[/tex]
[tex]4y=0[/tex]
[tex]y=0[/tex]
The critical point is (3/4,0) so the temperature at this point is: [tex]T(\frac{3}{4},0)=(\frac{3}{4})^{2}+2(0)^{2}-(\frac{3}{2})(\frac{3}{4})[/tex]
[tex]T(\frac{3}{4},0)=-\frac{9}{16}[/tex]
Now, we need to evaluate the boundary condition.
[tex]x^{2}+y^{2}=1[/tex]
We can solve this equation for y and evaluate this value in the temperature.
[tex]y=\pm \sqrt{1-x^{2}}[/tex]
[tex]T(x,\sqrt{1-x^{2}})=x^{2}+2(1-x^{2})-\frac{3}{2}x[/tex]
[tex]T(x,\sqrt{1-x^{2}})=-x^{2}-\frac{3}{2}x+2[/tex]
Now, let's find the critical point again, as we did above.
[tex]T_{x}(x,\sqrt{1-x^{2}})=-2x-\frac{3}{2}=0[/tex]
[tex]x=-\frac{3}{4}[/tex]
Evaluating T(x,y) at this point, we have:
[tex]T(-(3/4),\sqrt{1-(-3/4)^{2}})=-(-\frac{3}{4})^{2}-\frac{3}{2}(-\frac{3}{4})+2[/tex]
[tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex]
Now, we can see that at point (3/4,0) we have the coldest value of temperature [tex]T(\frac{3}{4},0) = -9/16 [/tex]. On the other hand, at the point [tex]-(3/4),\frac{\sqrt{7}}{4})[/tex] we have the hottest value of temperature, it is [tex]T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}[/tex].
I hope it helps you!
Help me pls
Ms. Manalo is reviewing her 2018 property taxes.
Use the tax form to complete the statements below.
The total assessed value of Ms. Manalo's property was $5,00,000
The total property tax rate was 1.7%
Ms. Manalo paid a total of $8,500 to her local government as a property tax in 2018.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Ms. Manalo is reviewing her 2018 property taxes.
Now, We get by given data;
The total assessed value of Ms. Manalo's property was,
⇒ $84,785 + $415,215
⇒ $5,00,000
And, The total property tax rate was ,
0.8% + 0.5% + 0.2% + 0.1% + 0.1%
1.7%
And, Ms. Manalo paid a total to her local government as a property tax in 2018 is,
1.7% of 5,00,000
1.7/100 x 5,00,000
8,500
So, The total assessed value of Ms. Manalo's property was $5,00,000
The total property tax rate was 1.7%
Ms. Manalo paid a total of $8,500 to her local government as a property tax in 2018.
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Jerry and Olivia were running a relay race. The race was 25.78 kilometers total. If Jerry ran 15.18 kilometers how far did Olivia run?
Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12
Answer:
B. L and N
Step-by-step explanation:
Let's solve each system
✔️System L:
3x + y = 8 => Eqn. 1
x - 4y = -6 => Eqn. 2
x = -6 + 4y
Substitute x = (-6 + 4y) in eqn. 1
3(-6 + 4y) + y = 8
-18 + 12y + y = 8
-18 + 13y = 8
13y = 8 + 18
13y = 26
y = 26/13
y = 2
Substitute y = 2 into Eqn. 2
x - 4y = -6
x - 4(2) = -6
x - 8 = -6
x = -6 + 8
x = 2
Solution to system L = (2, 2)
✔️System M:
4x - 3y = 2 => Eqn. 1
5x - 4y = -30 => Eqn. 2
Multiply eqn 1 by 5, and eqn. 2 by 4
20x - 15y = 10
20x - 16y = -120
Subtract
y = 130
Substitute y = 130 into eqn. 1
4x - 3(130) = 2
4x - 390 = 2
4x = 2 + 390
4x = 392
x = 392/4 = 98
Solution to system M = (98, 130)
✔️System N:
4x - 3y = 2 =>Eqn. 1
2x - 8y = -12 => Eqn. 2
Multiply Eqn. 1 by 2, and eqn. 2 by 4
8x - 6y = 4
8x - 32y = -48
Subtract
26y = 52
y = 52/26
y = 2
Substitute y = 2 into eqn. 1
4x - 3(2) = 2
4x - 6 = 2
4x = 2 + 6
4x = 8
x = 8/4
x = 2
Solution to system N = (2, 2)
Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a
what is the square root of 16
Answer:
hello
Ur answer is
4.000
Step-by-step explanation:
thanks
Find x.
2x + 40
3x
4x
X + 50
x = [?]
y
Answer:
x=27
Step-by-step explanation:
Hey there!
the exterior angles of a quadrilateral add up to equal 360
so 360=2x+40+4x+3x+x+50
step 1 combine like terms
2x+4x+3x+x=10x
50+40=90
now we have
360=10x+90
step 2 subtract each side by 90
360-90=270
90-90 cancels out
now we have 270=10x
step 3 divide each side by 10
270/10=27
we're left with
x=27
Is an example of money
Answer:
Gold coins are an example of commodity money. ... Dollar bills are an example of fiat money because their value as slips of printed paper is less than their value as money. Bank money consists of the book credit that banks extend to their depositors.
Step-by-step explanation:
jessica has 900 feet of fencing and a very large
Answer:
wot
Step-by-step explanation:
this is not a full question I don't know what to tell ya bud
Ms. Wolf goes shopping at Target and spends $38.75. Sales tax is 8%.
Enter the answer for question B: How much does she pay in total?
Answer:
you have to do the sales tax, times the price $3.10
then you add the $3.10 to the original price which is $41.85
Step-by-step explanation:
PLEASE HELP ME!?!
(2 questions)
please hurry!!
write the equation that represents the line
Answer:
y = 4/5x+3.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/(x2-x1), we have points (-3,-6) and (2,-2) so
m=(-2-(-6))/(2-(-3))
m=4/5 or 0.8 so our line is now
y=0.8x+b, using point (2,-2) we can solve for b
-2=0.8(2)+b
-2=1.6+b
b=-3.6 so the line is
y=0.8x-3.6 which can also be expressed as
y=4x/5-18/5
Assume f(x) = ax^2+ bx + c Which one is true? f is a parabola that opens sideways to the right. f is a parabola that opens sideways to the left. f is a parabola that opens downward. f is a parabola that opens upward.
Step-by-step explanation:
f is a parabola that opens upward.
What is surface area of this? Click image
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
Find the volume of the composite figure.
First, find the volume of the cylinder.
Use 3.14 for T. 9 cm
Cylinder Volume = [?] cm 8 cm 6 cm Rectangular Prism Volume = [ ]cm 8 cm 14 cm Total Volume of Composite Figure = [ ] cm3
Answer:
Volume for cylinder = 508.68 [tex]cm^{3}[/tex]
Volume of rectangular prism = 672 [tex]cm^{3}[/tex]
Total volume = 1180.68 [tex]cm^{3}[/tex]
Step-by-step explanation::
[tex]V = \pi r^{2} h[/tex] r = 4.5
= 3.14([tex]4.5^{2}[/tex]) (8) = 508.68
Volume for rectangular prism:
V = lwh = (14)(8)(6) = 672
Total volume = 508.68 + 672 = 1180.68 [tex]cm^{3}[/tex]
1) The diameter of a circle is 7.5. Find the circumference to the nearest
tenth. Show all work *
Your answer
Answer:
Step-by-step explanation:circumference = pi x diameter.
Using 3.14 for pi
Circumference = 3.14 x 7.5 = 23.55
Rounded to the nearest tenth = 23.6
The circumference of the circle with a diameter of 7.5 is, C = 23.6
Used the concept of the circumference of the circle that states,
The circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. The formula used to calculate the circumference of the circle with radius 'r' is,
C = 2πr
Given that,
The diameter of a circle is 7.5.
Hence, The radius of a circle is,
7.5/2 = 3.75
So, The circumference of the circle with a radius of 3.75 is,
C = 2 × 3.14 × 3.75
C = 23.55
Rounded to the nearest tenth,
C = 23.6
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What is the correct answer?
Answer:
6 units right 3 units down
Step-by-step explanation:
8. Which of these would best measure the WEIGHT of a ship?
A. Ounces
B. Pounds
C. Tons
D. Kilograms
Answer: Tons
Step-by-step explanation: A ship is SUPER heavy.
Bean seeds from supplier A have 85% germination rate and those from supplier B have 75% germination rate. A seed-packing company purchases 40% of its seed from A, 60% from B, and mix them together. Find the probability that a seed selected at random from the mixed will germinate.
Answer:
0.79 = 79% probability that a seed selected at random from the mixed will germinate.
Step-by-step explanation:
Probability of a seed germinating:
85% of 40%(from company A)
75% of 60%(from company B)
Then
[tex]P = 0.85*0.4 + 0.75*0.6 = 0.79[/tex]
0.79 = 79% probability that a seed selected at random from the mixed will germinate.
HELP QUICKLY IF POSSIBLE
Answer:
x=-4
Hope this helps :)
don’t understand someone explain please
Answer:
Sin A = 11/61
Step-by-step explanation:
Reference angle (θ) = A
opp = 11
Hyp = 61
Adj = 60
Sin θ = opp/hyp
Sin A = 11/61
a school has 2 computer labs each lab has 30 computer
Answer:
the answer is 60 because 2 times 30 is 60
Step-by-step explanation:
help with geometry question
Answer:
Step-by-step explanation:
The area of this parallelogram is
A=hb (height times base)
h=A/b, we see A=14.4mi^2 and b=4.8mi so
h=(14.4mi^2)/(4.8mi)
h=3 mi
Luna mixes 3/4 of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cups of juice to mags. How much is left in Lunas glass?
Step-by-step explanation:
3/4+3/8
1.125-5/8
= 1/2 of juice
The product of two consecutive even numbers is 360. Find the numbers.
List each pair of numbers in parentheses, separated by a comma. Example: (1,2),(3,4).
Answer:
Step-by-step explanation:
Two consecutive numbers be 2x , (2x + 2)
(2x)(2x + 2) = 360
2x*2x + 2x *2 = 360
4x² + 4x = 360 {divide the equation by 4}
x² + x = 90
x² + x - 90 = 0
x² + 10x - 9x - 9*10 = 0
x(x + 10) - 9(x + 10) = 0
(x + 10)(x -9) = 0
x + 10 = 0
x = -10
2x = 2*(-10) = -20
2x + 2 = -20 + 2 = 18
(-20 , -18)
Help me I really need this rn
Answer:
the answer is 9 please I hope i get it right
Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.
Answer:
65 percent chance right
Step-by-step explanation:
so she opens it 13 out of 20 times, so divide 13 by 20 and you get it
What is the slope between the points (2,5) and (6,13)
Let me = slope
m = (13 - 5)/(6 - 2)
m = 8/4
m = 2
The slope is 2.
The length of a rectangle is 16 inches longer than its width. If the perimeter of the rectangle is 540 inches, what is the length in inches?
Answer: 143
Step-by-step explanation:
The length and width of the rectangle will be 143 inches and 127 inches, respectively.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangle is 16 inches longer than its width. If the perimeter of the rectangle is 540 inches. Then the equations are given as,
L = 16 + W ...1
540 = 2(L + W) ...2
From equations 1 and 2, then we have
540 = 2(16 + W + W)
270 = 16 + 2W
2W = 254
W = 127 inches
Then the length of the rectangle is given as,
L = 16 + 127
L = 143 inches
The length and width of the rectangle will be 143 inches and 127 inches, respectively.
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