The sum of three numbers is 72 the second number is three times the third the third number is eight more than the first what are the numbers

Answer:

4:5

Step-by-step explanation:

A pair of complementary add up to 90, given that one of them is 50, we can do this: x + 50 = 90

solve it and we get x = 40

40 + 50 = 90, so 40 and 50 are the pair of complementary angles.

As for it's Ratio, we can just get the pair and have it as 40:50 but we can reduce it to 4:5

Answer:

n = .25

Step-by-step explanation:

For the equation to be true, both sides must be equal.

20 * 4 * 3 * n = 5 * 12

240 * n = 60

n = 60/240

n = .25

Answer:

1/4

Step-by-step explanation:

20×n×4×3=5×12

or, 240n=60

or, n=60/240

or, n=1/4

Answered by GAUTHMATH

Answer:

a) About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of​ earbuds.

b) About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received ​$5 off their first​ purchase.

Step-by-step explanation:

a. About how many shoppers received a free set of​ earbuds?

21% out of 230. So

[tex]230\frac{21}{100} = 2.3(21) = 48.3[/tex]

About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of​ earbuds.

b. About how many shoppers received ​$5 off their first​ purchase?

25% out of 230, so:

[tex]230\frac{25}{100} = 230\frac{1}{4} = \frac{230}{4} = 57.5[/tex]

About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received ​$5 off their first​ purchase.

Step-by-step explanation:

here's the answer to your question

Answer: 432000

Step-by-step explanation: (Amount of seconds in a day ->) 86400÷2 (<- 5 times every 10 seconds is 1 flash every 2 seconds so yes, 2) = 43200 (<-Yay Answer-! )

9514 1404 393

Answer:

  (a)  ΔWZY ~ ΔWXZ ~ ΔZXY

Step-by-step explanation:

In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.

A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).

  ΔWXZ lists sides in order short leg (WX), long leg (XZ).

  ΔZXY lists sides in order short leg (ZX), long leg (XY).

The first similarity statement is correct.

__

You can compare this to an incorrect one, the last one, for example.

ΔYZW lists sides in order long leg (YZ), short leg (ZW).

ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.

Answer:

Fifty percent of the data values lies between 34 and 46.

It is unlikely that there are any outliers.

Step-by-step explanation:

drawing out this box plot and looking online for a picture of the same plot:

From the box plot:

median=46

Q1=42

Q3=70

Q3-Q1= IQR=70-42=28

max=76

min=34

Range=max-min=76-34=42

no outliers seen from boxplot

Answer:

that person is right

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

ln(4) = the power of e to get 4.

and then we put e to the power of that answer, so the result must be 4.

Answer:

b. 0.0228

Step-by-step explanation:

We are given that

n=40

Mean,[tex]\mu=402.7 g[/tex]

Standard deviation, [tex]\sigma=8.8[/tex]g

We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.

[tex]P(x>405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}>\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})[/tex]

[tex]P(x>405.5)=P(Z>\frac{2.8}{\frac{8.8}{\sqrt{40}}})[/tex]

[tex]P(x>405.5)=P(Z>2.01)[/tex]

[tex]P(x>405.5)=1-P(Z\leq 2.01)[/tex]

[tex]P(x>405.5)=1-0.977784[/tex]

[tex]P(x>405.5)=0.022216[/tex]

Hence, option b is correct.

Answer:

g(-3) = 1

Step-by-step explanation:

The x-value -3 lies within the given interval x ≤ -3, and so the correct piecewise function is x + 4, not -4 or -1.  Evaluating x + 4 at x = -3 yields 1.

Thus, g(-3) = 1

The required value of the function g(x) at x = -3 , g(-3) is +1.

Given that,
A function is given with their domain,
g(x) = x + 4 when x≤
g(x) = 4 when -3 < x < 3
g(x) = - 1 when x ≥ 3

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here, Function has been given with their respective limit in which the function is defined,
For the value of g(-3) the value of x = -3 lies in the limit x ≤ -3
So for this limit, we have a function,
g(x) = x + 4
g(-3) = - 3 + 4
g(-3) = +1

The required value of the function g(x) at x = -3 , g(-3) is +1.

learn more about function here:

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Answer:

C. [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

The correct answer is d.

Answer:

Cluster

Step-by-step explanation:

When observations from a large population are divided into groups, such that subjects in each of these groups are similar to one another than those in the other groups. These individual groups of observation are called clusters. In the scenario above, the random group of 4 third grade classes selected represent of cluster or group since all the subjects belong to the class grade which is to be measured and all subjects belonging to the selected cluster or group are to be measured.

Answer:

The answer must be between 20 and 5000 characters

9514 1404 393

Answer:

 14

Step-by-step explanation:

  [tex]7\log_7(49)=7\log_7(7^2)=7\cdot2=\boxed{14}[/tex]

Answer:  9 gallons

Work Shown:

(15 gallons)/(10 minutes) = (x gallons)/(6 minutes)

15/10 = x/6

15*6 = 10*x ... cross multiplication

90 = 10x

10x = 90

x = 90/10

x = 9

The camel can drink 9 gallons in 6 minutes. This is assuming that the unit rate is kept the same.

Answer:

[tex]2 \times 5 = 10 \\ 3 \times 11 = 33 \\ 10 + 33 = 43 \\ 43 {m}^{2} [/tex]

hey please give brainly

Answer:

a) 2, 6, 10, 14, 18, 22

b)60, 59, 57, 54, 50, 45

c)240, 120, 60, 30, 15, 7 1/2

Step-by-step explanation:

The answer was already there.

Answer:

87653210=highest

01235678=least

Answer:

Least number: 10235678

Greatest number: 87653210

9514 1404 393

Answer:

  27%

Step-by-step explanation:

The price multiplier for the first discount is (1 -55%) = 0.45.

The price multiplier for the second discount is (1 -40%) = 0.60.

Then the price multiplier for the two discounts together is ...

  (0.45)(0.60) = 0.27

You end up paying 27% of the original price.

Answer:

14.29%

Step-by-step explanation:

Total observations that had grade D or F: 5

Total observations: 35

[tex]\frac{5}{35} =\frac{1}{7} =.1429[/tex]

Answer:

.14

without rounding it is .1492 , rounded to the nearest hundredth it is .14

Answer:

desculpa não consigo responder pq esta td inglês ou espanhol prá mim se vc me dizer como posso fazer para voltar a ser português possa te ajudar em algo

Answer:

2.72 [tex]cm^2[/tex]

Step-by-step explanation:

You first find the area of the whole rectangle.

Then you have to find the area of the circle. The area of a circle is [tex]2\pi r[/tex].

The radius is 1 so it will be 2[tex]\pi[/tex].

[tex]\pi[/tex] equals 3.14 so you have to do 3.14*2 that equals 6.28.

Finally subtract 9-6.28=2.72

X=180-57-57=66

Dababy sus

Answer:

19.44%

Step-by-step explanation:

28/144 × 100 = 19.44

I hope this helps

19.4 percent of 144 is 28.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Percentage= M

Now,

M% of 144 = 28

M/100 x 144 = 28

Solve for M.

(M/100) x 144 = 28

M/100 = 28/144

M = 28/144 x 100

M = 19.44%

Thus,

28 is 19.4 percent of 144.

Learn more about percentages here:

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The complete question.

28 is what percent of 144.

Area of 1 face of this cube

= s²

Because it is a square.

Answer:

s√2

Step-by-step explanation:

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Answer:

The dimensions are:

l = 2*1.96 = 3.92 yd

h = 5/(1.96)² = 1.30 yd

w = 1.96 yd

Step-by-step explanation:

The volume is given by:

[tex]V=l*w*h[/tex]

Where:

We know that l = 2w, so we have:

[tex]V=2w^{2}*h[/tex]

[tex]10=2w^{2}*h[/tex]

[tex]5=w^{2}*h[/tex] (2)

Now, the surface of this parallelepiped is:

[tex]S=2wh+2lh+lw[/tex]

Using l = 2w:

[tex]S=2wh+4wh+2w^{2}[/tex]

Using (2) we obtain the surface equation in terms of w.

[tex]S=2w\frac{5}{w^{2}}+4w\frac{5}{w^{2}}+2w^{2}[/tex]    

[tex]S=2\frac{5}{w}+4\frac{5}{w}+2w^{2}[/tex]

We need to take the derivative with respect to w to minimize the surface area.

[tex]S=2\frac{5}{w}+4\frac{5}{w}+2w^{2}[/tex]  

[tex]S=\frac{30}{w}+2w^{2}[/tex]

[tex]\frac{dS}{dw}=-\frac{30}{w^{2}}+4w[/tex]

Now, let's equal it to zero.

[tex]0=-\frac{30}{w^{2}}+4w[/tex]  

[tex]\frac{30}{w^{2}}=4w[/tex]              

[tex]w^{3}=\frac{30}{4}[/tex]          

[tex]w=1.96\: yd[/tex]  

So, l = 2*1.96 = 3.92 yd and h = 5/(1.96)² = 1.30 yd

Therefore, the dimensions are:

l = 2*1.96 = 3.92 yd

h = 5/(1.96)² = 1.30 yd

w = 1.96 yd

I hope it helps you!

Answer:

The Answer Is Point B (2,0)

Step-by-step explanation:

Answer:

x = 5/8

Step-by-step explanation:

x^3 = 125/512

Take the cube root of each side

x^3 ^1/3 = (125/512)^ 1/3

We know (a/b) ^1/3 = a^ 1/3  / b^1/3

x = (125) ^1/3 / (512)^ 1/3

x = 5/8

Answer:

40

Step-by-step explanation:

(x+2)^5 use binomial theorem :

(a+b)^n = (n choose 0)*a^n*b^0 + (n choose 1)*a^(n-1)*b^1 + (n choose 2)*a^(n-2)*b^2) + ... + (n choose (n-1)*a^1*b^(n-1) + ( n choose n)*a^0*b^n

this seems like a lot but to break it down, notice how the exponent on 'a' decreases as the exponent on 'b' gets bigger.

also, the 'choose' formula is :

(n choose r ) = n!/ (n-r)!r!

now plug in your values

(x+2)^5 =

(5 choose 0)*x^5*2^0 + (5choose 1)*x^4*2^1 + (5 choose 2)*x^3*x^2 + (5 choose 3)*x^2*2^3 + (5 choose 4)*x^1*2^4 + (5 choose 5)*x^0*x^5

we only need the third term so we will solve for this :

(5 choose 2)*x^3*x^2

5 choose 2 = 5!/ (5-2)!2! = 5!/ 3!2! = 10

x^3 * 2^2 = 4x^3

10*4x^3 = 40x^3