Decrease 60kg by 40%

Answer:

1.8 gallons

SEE NOTE BELOW*

Step-by-step explanation:

2x10x16=320

2x20x10=400

400+320=720

720÷400=1.8 gallons

NOTE* This would be painting the four walls.  If you include the floor and ceiling:

2x16x20=640

720+640=1360

1360÷400=3.4 gallons

The least amount of paint needed to paint the walls of a room in the shape of a rectangular prism is 1.8 gallons (2 gallons approx).

Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.

The formula to calculate the total surface area of a rectangular prism is given as,

TSA of rectangular prism = 2(lb + bh + lh)

Where, l is length, b is breadth and h is the height of the rectangular prism.

Calculation for the paint required for rectangular prism:

The area of the sides of prism to be painted is

Area A = 2×(length×height) + 2×(breadth×height)

Length = 20 feet

Breadth = 16 feet

Height = 10 feet

A = 2×(20×10) + 2×(16×10)

A = 720 sq. feet

Now, the paint need for painting 400 sq. feet is 1 gallon.

Thus, paint required for 720 sq. feet is,

=> 720 ft² / 400 ft² /gal = 1.8 gal  

Therefore, for painting rectangular prism, the amount of paint required is 1.8 gal.

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Answer:

The Greatest Common Factor (GCF) for 100 and 80, notation GCF (100,80), is 20.

Step-by-step explanation:

Answer:

20 gcf

Step-by-step explanation:

JCF the first 20 yan ata hehehheheheheheheh

Answer:

Decay, 60%

Step-by-step explanation:

Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.

Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].

[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].

[tex]1-r=0.4\\r=0.6[/tex]

So, the rate of percentage decrease is 60%.

I hope this helps!

Answer:

34/5

Step-by-step explanation:

5/5 x 6 = 30/5 + 4/5 = 34/5

1 < 34/5

Answer:

The answer is 50.2cm²

Step-by-step explanation:

Area of the whole circle (the whole shape)

A= πr²

A= 3.14 x (5cm)²

A= 3.14 x 25cm

A= 78.5cm²

Area of the part in the middle (non-shaded part)

A= πr²

A= 3.14 x (3cm)²

A= 3.14 x 9cm

A= 28.26cm²

78.5cm² - 28.26cm² = 50.24cm²

Answer rounded to the nearest tenth: 50.2cm²

Hope this helps :)

Answer:

two sides have the length of 7m

third side is 11m

Step-by-step explanation:

perimeter is the sum of all sides

let 'n' = length of congruent sides

let '2n - 3' = length of third side

25 = n + n + 2n - 3

25 = 4n - 3

28 = 4n

n = 7m

2(7) - 3 = 11m

Answer:

Total number of ways in which first, second and third prizes will be awarded = 560

Step-by-step explanation:

As given,

There are 16 players participated in a tennis tournament.

and 3 players will be awarded for first, second, and third prize.

As we know,

ⁿCₓ = [tex]\frac{n!}{x! (n-x)!}[/tex]

n = the number of items.

x = how many items are taken at a time.

As given, n = 16 , x = 3

⇒¹⁶C₃ = [tex]\frac{16!}{3! (16-3)!} = \frac{16!}{3! (13)!} = \frac{16.15.14.13!}{3! (13)!} = \frac{16.15.14}{3!} = \frac{16.15.14}{3.2.1} = \frac{3360}{6} = 560[/tex]

∴ we get

Total number of ways in which first, second and third prizes will be awarded = 560

Answer:

15

Step-by-step explanation:

4*((7x-6)+(4x-3))=360

7x-6+4x-3=90

11x=99

x=9

∠ACD = (7x-6)=7*9-6 = 57°

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

7y = 5

Divide both sides by 7:

[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]

[tex]\boxed{y = \dfrac{5}{7}}[/tex]

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

The slope is the ratio of rise to run.

  slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6

The slope of the hill is 1/6.

Answer:

Step-by-step explanation:

Let the monthly rent be x.

Then we have:

Monthly rent is $2000

Answer:

the answer to your question is $2000

Answer:

246/100 as a fraction, and 2 46/100 as a mixed number..

Step-by-step explanation:

Answer: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

2 and 23/50

or as a simplified fraction 123/50

Step-by-step explanation:

Answer:

Step-by-step explanation:

195613(1+.543)

195613(1.543)

301831

Answer:

The lowest score on the final exam that would qualify a student for an​ A is 80.

The lowest score on the final exam that would qualify a student for a B is 74.68.

The lowest score on the final exam that would qualify a student for a C is 67.33.

The lowest score on the final exam that would qualify a student for a​ D is 62.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 71 and a standard deviation of 7.

This means that [tex]\mu = 71, \sigma = 7[/tex]

Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's.

This means that:

90th percentile and above: A

70th percentile and below 90th: B

30th percentile to the 70th percentile: C

10th percentile to the 30th: D

Lowest score for an A:

Top 10% receive A, which means that the lowest score that would qualify a student for an A is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*1.28[/tex]

[tex]X = 80[/tex]

The lowest score on the final exam that would qualify a student for an​ A is 80.

Lowest score for a B:

70th percentile, which is X when Z has a pvalue of 0.7, so X when Z = 0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.525 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*0.525[/tex]

[tex]X = 74.68[/tex]

The lowest score on the final exam that would qualify a student for a B is 74.68.

Lowest score for a C:

30th percentile, which is X when Z has a pvalue of 0.3, so X when Z = -0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.525 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*(-0.525)[/tex]

[tex]X = 67.33[/tex]

The lowest score on the final exam that would qualify a student for a C is 67.33.

Lowest score for a D:

10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*(-1.28)[/tex]

[tex]X = 62[/tex]

The lowest score on the final exam that would qualify a student for a​ D is 62.

Company B costs most per window

Step by step:

company a = 25x + 50

company b = 40x + 15

company c = 35x + 25

Answer: she can make 4 groups of 6 and there will be 5 left in the other group

Step-by-step explanation: because im right

Answer:

huh?

Step-by-step explanation:

If D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.

A mathematical comparison of two numbers is known as proportion. If two sets of given numbers increase or decrease in the same ratio, the ratios are said to be directly proportional to each other, according to proportion.

Given that D varies jointly with w and p. Then it can be written as

D ∝ w × p ...(1)

Again D varies inversely with u.

Then, D ∝ 1/u ...(2)

From (1) and (2), D ∝ (wp)/u ...(3)

We can take k as the constant of proportionality.

So, (3) becomes, D = k(wp/u) = (kwp)/u

Therefore, if D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.

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Answer:

6.5

Step-by-step explanation:

13/10÷2/10= 13/10*10/2

cancel out the 10 and that leaves you with 13/1*1/2=13/2

simplify 13/2 and that leaves you with 6.5

Answer:

[tex]6\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{13}{10}[/tex]  ·  [tex]\frac{10}{2}[/tex] (Cross out the tens) = [tex]\frac{13}{2}[/tex]

2/13 = 6 R.1     [tex]6\frac{1}{2}[/tex]

Answer:

20c is the expression

Answer:

The solution (x,y) is (3,19).

Step-by-step explanation:

We are given two equations for y.

y = 5x + 4

y = 3x + 10

They are equal, which means that we can find x. So

5x + 4 = 3x + 10

2x = 6

x = 3

With x, we can find y:

y = 5*3 + 4 = 19

So the solution (x,y) is (3,19).

Answer:

Any numbers 477 to 597

I could pick 500 i mean its greater than 476 and less that 598.

Most likely I would pick 597 because its close.

========================================================

Explanation:

Segments DB and DC are the same length. This makes triangle BCD to be isosceles. Recall that the base angles of any isosceles triangle are congruent angles. The base angles are opposite the congruent sides.

So because DB = DC, this makes B = C the congruent base angles in question. Let's say they are x for now.

Also recall that for any triangle, the three angles always add to 180 degrees.

B+C+D = 180

x+x+44 = 180

2x+44 = 180

2x = 180-44

2x = 136

x = 136/2

x = 68

So angles B and C, of triangle BCD, are 68 degrees each.

This leads to angle BCD to be 68 degrees as well.

Now we'll turn to the Tangent-Chord Theorem. This says that the angle made between a chord and a tangent is the same measure as the inscribed angle that is opposite the chord.

In this case,

So because angle BCD is 68 degrees, so is angle ABD.