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3 years ago

A shipping box is shown below how many cubic feet will the shipping box hold

Mathematics

2 answers:

olga55 [171]3 years ago

7 0

Answer:

42 cubic feet

Explanation:

Formula for triangular prism(the figure in your picture): Volume=(B)H

B=Base=1/2bh — b=4ft h=3.5 ft

H=Height of prism= 6ft

So substitute formula:

Volume=(1/2(4)(3.5))*(6)

Volume=7*6

Volume=42 cubic feet

Feliz [49]3 years ago

3 0

Answer

Step-by-step

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The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?

Ghella [55]

Let the four consecutive integers be

x , x+1, x+2, x+3

ATQ, Their sum is 18

$\sf \: x + x + 1 + x + 2 + x + 3 = 18$

$\sf \: 4x + 1 + 2 + 3 = 18$

$\sf4x + 6 = 18$

$\sf4x = 18 - 6$

$\sf4x = 12$

$\boxed{ \mathfrak{x = 3}}$

1st number = x = 3
2nd number = x+1 = 3+1 = 4
3rd number = x+2 = 3+2 = 5
4th number = x+3 = 3+3 = 6

The four numbers are 3,4,5,6 respectively and the smallest number among them is 3...~

6 0

3 years ago

Read 2 more answers

Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represente

Nadusha1986 [10]

Answer:

True Statements are -

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

Step-by-step explanation:

Given - Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represented by the

equation T = 40x, and the amount of money that Jude has saved is represented by the equation J = 60x.

To find - Choose all of the statements that are true.

A. Each month, Jude saves two-thirds as much money as Ted saves.

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

C. The amount of money Jude saves each month is $20 more than the amount Ted saves each month.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

Proof -

Given that,

After x months,

Ted saved the amount of money, T(x) = 40x

Jude saved the amount of money, J(x) = 60x

Now,

In 1 month,

Ted saved money, T(1) = 40(1) = 40

Jude saved money, J(1) = 60(1) = 60

So,

In 1st month, Jude saved money 20 more than Ted saved.

Now,

In 2 month,

Ted saved money, T(2) = 40(2) = 80

Jude saved money, J(2) = 60(2) = 120

So,

In 2nd month, Jude saved money 40 more than Ted saved.

Now,

In 3 month,

Ted saved money, T(3) = 40(3) = 120

Jude saved money, J(3) = 60(3) = 180

So,

In 3rd month, Jude saved money 60 more than Ted saved.

So,

Option C is incorrect

Because

In 1st month, Jude saves is $20 more than the amount Ted saves

In 2nd month, Jude saves is $40 more than the amount Ted saves

Now,

In 1st month,

Ted saves = 40

and

$\frac{2}{3}(40)$ = 26.67

So, Jude will save = 40 + 26.67 = 66.67

But Jude saves 60

So,

Option A is incorrect.

i.e. A. Each month, Jude saves two-thirds as much money as Ted saves.

Now,

We can see that,

In 3 months, Ted will have saved the money = 120

In 2 months, Jude will have saved the money = 120

So,

Option B is correct.

i.e. B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

Also,

We can see that

In 1st month, Jude saved money 20 more than Ted saved.

In 2nd month, Jude saved money 40 more than Ted saved.

In 3rd month, Jude saved money 60 more than Ted saved.

So,

Option D is correct.

i.e. D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

∴ we get

True Statements are -

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

7 0

3 years ago

Solve the system of equations by elimination 3x+4y=31 2x-4y=-6

ANEK [815]

3x + 4y = 31
2x - 4y = -6

*The +4 and -4 in the center of the equation cancel out because 4-4 = 0*

3x = 31
2x = -6
------------

*add like terms*

3x + 2x = 5x

31 - 6 = 25

So now you should have this written on your paper ... > 5x = 25

*Divide by 5 on each side*

5x = 25
_ _
5 5

x = 5

5 0

3 years ago

Read 2 more answers

This year 426,731 people visited a water park.last year 102,865 fewer people visited the park the year the park opened 84,007 fe

mylen [45]

Answer:

236,859 people visited the water park the year it opened.

Step-by-step explanation:

426,731 - 102,865= 323,866 the amount of people that visited last year

323,866 - 87,007 = 236,859 the amount of people that visited the water park the year it opened

7 0

3 years ago

The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical apt

Mashcka [7]

Answer:

Y = 0.4925X - 22.26 ;

(-12.413, 13.398) ;

Yes, there is

Step-by-step explanation:

X = IQ Score ; Y = musical aptitude

The regression equation from the table given using the slope and intercept coefficient :

Y = 0.4925X - 22.26

0.4925 = slope ; Intercept = - 22.26

The 95% confidence interval of the slope :

Confidence interval = b ± Tcritical*SE

Tcritical at 95%, df = n - 2 = (20 - 2) = 18

Tcritical = 2.1009

b = slope Coefficient = 0.4925

S.E = 6.143

Hence, we have :

Confidence interval = 0.4925 ± (2.1009 * 6.143)

Confidence interval = 0.4925 ± 12.9058287

Lower boundary = 0.4925 - 12.9058287 = - 12.413

Upper boundary = 0.4925 + 12.9058287 = 13.398

(-12.413, 13.398)

There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.

6 0

3 years ago