A rectangular piece of metal is 25in longer than it is wide . Squares with sides 5in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 750in, what were the original dimensions of the piece of metal

Answer:

a=90 B=80 C=180

Step-by-step explanation:

Answer:

c. 81

Step-by-step explanation:

(x^3)^1/6= √81

x^(3*1/6)= √81

x^(1/2)= √81

√x=√81

x=81

Answer:

Richard is older

Step-by-step explanation:

We can set up an inequality for both statements.

Let r equal Richard's age and s equal Sylvia's age.

"I am older than my wife."

Since Richard is speaking, the inequality would look like this:

r > s

This means Richard is older than Sylvia.

"I am younger than my husband."

Since Sylvia is speaking, the inequality would look like this:

s < r

This means that Sylvia is younger than Richard.

We can flip one inequality to "see" them from the same perspective.

Let's use s < r

To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.

s < r

to

r > s

The inequality from the first quote is identical to this one!

Therefore, Richard is older than Sylvia.

Cloudy = 0.30

Rain = 0.15

Both = 0.14

Probability of Rain if cloudy:

P(Both)/P(Cloudy) = 0.14/0.30 = 14/30 = 0.4666

Multiply by 100:

0.4666 x 100 = 46.67%

Answer is b. About 46.67%

Answer:

[tex] \boxed{n = 6} [/tex]

Step-by-step explanation:

[tex] = > 2 = \frac{n}{3} \\ \\ = > \frac{n}{3} = 2 \\ \\ = > n = 2 \times 3 \\ \\ = > n = 6[/tex]

Answer:

b = -1

Step-by-step explanation:

First plug in 4 for each x:

[tex]x^2+bx-12=0\\(4)^2+b(4)-12=0[/tex]

Then simplify by multiplying out what you can with 4:

[tex](4)^2+b(4)-12=0\\16+4b-12=0[/tex]

After simplify further by combining like terms:

[tex]16+4b-12=0\\4b +4=0[/tex]

Then isolate b on one side by subtracting 4 from each side:

[tex]4b+4=0\\(-4)+4b+4=0+(-4)\\4b=-4[/tex]

Finally isolate b further by dividing each side by 4 to get b alone and find the answer:

[tex]4b=-4\\\frac{4b}{4}=\frac{-4}{4} \\ b=-1[/tex]

Answer:

-17

Step-by-step explanation:

-21-c

Let c = -4

-21 - -4

Subtracting a negative is like adding

-21 +4

-17

Answer:

-17

Step-by-step explanation:

- 21 - c

Put c as -4.

- 21 - (-4)

The negative signs cancel.

- 21 + 4

Add both the terms.

= -17

Answer:

2 seconds

Step-by-step explanation:

When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:

[tex]0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0[/tex]

Factor:

[tex]-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2[/tex]

Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!

Answer:

it is 6x²+ 9x- 15

Step-by-step explanation:

Answer:

(2n+9)/( n+5)

Step-by-step explanation:

f(x)=(2x+3)/(x+2)

Let x = n+3

f(n+3)=(2*(n+3)+3)/(n+3+2)

        = (2n+6+3)/(n+5)

        = (2n+9)/( n+5)

Answer:

7.D

8.A

Step-by-step explanation:

7.

r=√((0-6)²+(0+8)²)=√(36+64)=√100=10

eq. of circle is (x-6)²+(y+8)²=10²

(x-6)²+(y+8)²=100

8.

CM=1/2CD=1/2×60=30

OM=18

OC=√(30²+18²)=√(900+324)=√(1224)=√(4×306)=√(4×9×34)=2×3√34=6√34

radius r=OC=6√34

OF=r=6√34

ON=15

FN=√((6√34)²-15²)=√(1224-225)=√999=√(9×111)=3√111

Answer:

2 students said only fall

Step-by-step explanation:

Given:

Total number of students = 25

Number of students who like fall season (F) = 12

Number of students who like summer season (S) = 18

Number of students who like both fall and summer season [tex]\left ( F\cap S \right )[/tex] = 10

To find:

Number of students who like only fall season

Solution:

A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.

According to the venn diagram,

n(only F) = [tex]=n(F)-n\left ( F\cap S \right )[/tex]

[tex]=12-10=2[/tex]

So, 2 students said only fall.

Answer:

4 1/2

Step-by-step explanation:

Multiply 2x2=4 and then put the half next to it

Answer:

27 pi

Step-by-step explanation:

First find the area of a circle

A = pi r^2

A = pi ^^2

36 pi

We know this is 3/4 of a circle so multiply the area by 3/4

3/4 * 36 pi

27 pi

Answer: 50, 75, 40, 125

Step-by-step explanation:

a) x = 5*20/2 = 50

b) x = 5*30/2 = 75

c) x = 2*100/5 = 40

d) x = 5*50/2 = 125

Answer:

because he left you and your mom and now you are sad because you have no dad also yer dads j e r k

Step-by-step explanation:

Answer:

he is walking 5000000000000000000000000000% slower than a sloth

Step-by-step explanation:

sloths are slow

We will find that there are 5 outcomes where the sum of the numbers on the dice adds up to 6.

We want to see how many outcomes are there where the sum of the two dice is equal to 6. Each dice has 6 outcomes, which are:

{1, 2, 3, 4, 5, 6}

For rolling two dice with 6 outcomes each, the total number of outcomes is:

6*6 = 36

For rolling two dice, we can use the notation:

dice 1,  dice 2

And we can also write the sum, so we will only look at the outcomes where the sum is 6.

dice 1,  dice 2,  Sum

1            5          1 + 5 = 6

5           1           5 + 1 = 6

2           4           2 + 4 = 6

4           2            4 + 2 = 6

3           3            3 + 3 = 6

So there are 5 outcomes where the sum is equal to 6, so the correct option is B

Learn more about outcomes:

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Answer:

C

Step-by-step explanation:

the other guy explains it better, but i took the quiz, so I can confirm

Answer: check explanation for the solution

Step-by-step explanation:

A business that offers services to people by providing many amusement and fun with gate fees

The algebraic equations to be used is the general linear equation

Y = MX + C

Where

Y = total income or money realised

M = rate or price rate

X = number of goods or services

C = flat rate or gate fees

The business can also operate differently by using exponential equation

A = P(1 + R%)^t

Where

A = profit

P = capital

R = rate

t = time

Answer:

Step-by-step explanation:

If the parent function is f(x) = x² and the transformed function is g(x) = a(x)²

For a > 1, then the transformed function g(x) will be vertically stretched by a factor of 'a'

For 0 < a < 1, then the transformed function will be vertically compressed or shrink by a factor of 'a'

For a function f(x) = x² when transformed to f(5x) = (5x)²

g(x) = 25x²

Therefore, graph of the parent function f(x) will be vertically stretched by 25 units.

*diagram of the dot plot is attached below

Answer:

$2.15

Step-by-step Explanation:

Mean daily pocket money or average daily pocket if the group if students shown in the for plot that is attached below = the sum of the pocket money received by the students ÷ the total number of students.

From the diagram of the dot box attached below, the total number if students = 13 (each dot represents a student)

Sum of the pocket money received by the students = 4(1) + 5(2) + 3(2) + 4(2)

= 4 + 10 + 6 + 8

Sum = 28

Therefore, mean daily pocket money = 28 ÷ 13 = $2.15

Answer:

-0.64285714285

Step-by-step explanation:

To 1 d.p. -0.6

Answer:

[tex]-\frac{9}{14}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} *(-\frac{6}{7})=\\\\-\frac{3*6}{4*7} =\\\\-\frac{18}{28}=\\\\-\frac{9}{14}[/tex]

Answer:

A

Step-by-step explanation:

This is because you won the first race and you won the second.

Answer:

20 square yards

Step-by-step explanation:

Area of workshop

= length * width

= 5 * 4

= 20 square yards

Answer:

The first part is [tex]4+12x=28[/tex]

The second part is multiply both sides by 4

The third part is (not sure cause i got subtract 16 from both sides) but i think it is subtract 3 to both sides

The fourth part is [tex]x=8[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\left(16+12x\right)=28\\\mathrm{Multiply\:both\:sides\:by\:}4\\4\cdot \frac{1}{4}\left(16+12x\right)=28\cdot \:44\cdot \frac{1}{4}\left(16+12x\right)=28\cdot \:4\\Simplify\\16+12x=112\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\16+12x-16=112-16\\\mathrm{Simplify}\\12x=96\\\mathrm{Divide\:both\:sides\:by\:}12\\\frac{12x}{12}=\frac{96}{12}\\Simplify\\x=8[/tex]

Answer:

1464.84375

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus

[tex]a_{7}[/tex] = 6 × [tex](2.5)^{6}[/tex] = 6 × 244.140625 = 1464.84375

The seventh term of the geometric progression will be 1464.84375

When there is a constant between the two successive numbers in the series then it is called a geometric series.

The nth term of a geometric sequence is

[tex]a_n =a_1(r)^{n-1}[/tex]

where a₁ is the first term and r is the common ratio

Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus

[tex]a_7=6\times (2.5)^{6}[/tex]  = 6 × 244.140625 = 1464.84375

Therefore the seventh term of the geometric progression will be 1464.84375

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Answer:

A

Step-by-step explanation: