The figure below is a net for the box to the right. What is the surface area of the box?

Answer:

133.33

Step-by-step explanation:

In 133.33 years, the principal amount of $500 at the rate of 1.5% per year will triple.

Simple interest is an interest which is only based on principal amount, it does not imply on yearly interest.

Given that,

The principal amount put in the bank p= $500

The rate of simple interest r= 1.5 %

Amount will be triple, implies that, Interest would be two times of principal.

Interest = 2 x 500 = 1000

To find the time t, when amount gets triple, use simple interest formula

Interest = (p x r x t)/100

1000 = (500 x 1.5 x t)/100

200/1.5 = t

133.33 = t

The required time in which the money will triple is 133.33 years.

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Answer:

Velocity :D

Step-by-step explanation:

Answer:

velocity

Step-by-step explanation:

hope this helps! can i get brainliest?

Answer:

y=-1/2x+3.5

Step-by-step explanation:

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The lowest of the three numbers is -3.

The smallest however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer.  In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable.  If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) =  7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) =  7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

Step-by-step explanation:

-3(x - 4) + x(2x + 3)

= (-3x + 12) + (2x² + 3x)

= 2x² + 12

= 2(x² + 6).

Answer:

[tex] - 3(x - 4) + x (2x + 3) \\ = - 3x + 12 + 2 {x}^{2} + 3x \\ = 2 {x}^{2} + 12 \\ = 2( {x}^{2} + 6)[/tex]

2(x^2+6) is the right answer.

Answer:

c

Step-by-step explanation:

Answer:

Isnt it where you write it in the easiest way to understand it? sorry if its wrong :/

Step-by-step explanation:

If you mean standard from in math  it is basically writing down a smaller number instead of a larger one. For example 10 x 10 x 10, you could just write 10*3.  

Answer:

42.875

Step-by-step explanation:

First you find the x-intercepts and the vertex of the equation.

(-5, 0), (-2, 0), (-3/2, 49/4)

You use those coordinates to find the sides of the triangle and then you use the lengths to find the semiperimeter.

Lastly, you use Heron's formula to compute the area.

The area of the triangle is required.

The area of the triangle is [tex]42.875\ \text{units}^2[/tex]

[tex]y=-x^2-3x+10[/tex]

The x intercepts are

[tex]-x^2-3x+10=0\\\Rightarrow x=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\left(-1\right)\times 10}}{2\left(-1\right)}\\\Rightarrow x=-5,2[/tex]

The x intercepts are

[tex](-5,0),(2,0)[/tex]

Distance between them is

[tex]2-(-5)=7\ \text{units}[/tex]

Vertex of a parabola is given by

[tex]x=-\dfrac{b}{2a}\\ =-\dfrac{-3}{2\times -1}\\ =-1.5[/tex]

[tex]y=-(-1.5)^2-3(-1.5)+10=12.25[/tex]

So,

Base = b = 7 units

Height = h = 12.25 units

Area is

[tex]A=\dfrac{1}{2}bh\\\Rightarrow A=\dfrac{1}{2}\times 7\times 12.25\\\Rightarrow A=42.875\ \text{units}^2[/tex]

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Answer:

x=8

Step-by-step explanation:

2x+7 = 23

2x=16

x=8

Answer:

The answer is 33,710 euros.

Step-by-step explanation:

Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

Answer:

18 students is the amount that passed the test

so the fraction would be 18/24, which can be simplified to 3/4, which is 75% of the class.

75% of the class passed

0.75% of the class passed

Answer:

75%

Step-by-step explanation:

24 x 0.75 (75% as a decimal) = 18

Answer:

RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive.

RULE 3: The product of two negative integers is positive.

Step-by-step explanation:

Answer:

Step-by-step explanation:

you divide the two to the y, which is x=3/2y

then, you simplify the second equation to y, which is -3y= -4x+12

then, you substitute the x=3/2y into the second equation,

-3y = -6+12

-3y = 6

y = -2

Substitute the y into the first equation, x= 3/2y,

x = -3

Answer:

0.48

Step-by-step explanation:

Answer:

It’s B

Step-by-step explanation:

For the shape to be a quadrilateral, then the value of ∠QPS must be (b) 59 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

[tex]\angle RQP = \angle PSR[/tex] implies that:

[tex]6x + 13 = 7x - 5[/tex]

Collect like terms

[tex]6x - 7x = -13 - 5[/tex]

[tex]-x = -18[/tex]

Multiply both sides by -1

[tex]x = 18[/tex]

[tex]\angle QPS + \angle PSR = 180[/tex] implies that

[tex]\angle QPS + 7x - 5 = 180[/tex]

Substitute 18 for x

[tex]\angle QPS + 7(18) - 5 = 180[/tex]

Collect like terms

[tex]\angle QPS= 180 +5 - 7(18)[/tex]

[tex]\angle QPS= 59[/tex]

Hence, the measure of angle QPS must be (b) 59 degrees

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Answer:

slope=7/8

Step-by-step explanation:

8-1/10-2= 7/8

Answer:

can you make the graph bigger please?

Answer:

3/4

Step-by-step explanation:

THE fraction of these items are either multiple choice or short answer would be the sum of the fractions of the multiple choice and short answer

4/12 + 5 / 12 = 9/12

to simplify , divide both numerator and denominator by 3

3/4

Answer:

$36

Step-by-step explanation:

2/3 = $24

divide 24 by 2 to find 1/3

1/3 = $12

3/3 = (12 + 12 + 12 )

3/3 = 36

Answer: the answer would be 55 but since its says to round to the nearest hundred this would be 50 because its the closest and both lines are equivalent to be the same. plz brainliest plz

Step-by-step explanation:

Answer:

There are 182.88  cm in 2 yards.

Step-by-step explanation:

Given that,

1 inch = 2.54 cm

We need to find how many centimeters are there in 2 yards.

We know that,

1 yard = 36 inch

⇒ 2 yards = (2×36) inches

= 72 inches

It means,

72 inches = (72 × 2.54) cm

= 182.88  cm

Hence, there are 182.88  cm in 2 yards.

Step-by-step explanation:

You add 4 each time:

10+4=14

14+4=18

18+4=22

22+4=26

26+4=30

hope this helps <3

Answer:

x=30

(Option 2)

Step-by-step explanation:

Well if the <1+<2=180 then you can put the equation as 4x+10+x+20=180. We can simplify that to be 5x+30=180. Minus 30 from both sides: 5x=150; x=30