While unwrapping his birthday present, Marcos was very careful to not tear any gift-wrap. When he was done, he laid the gift-wrapping paper flat like shown. Assuming there was no overlapping paper, what was the Total Surface Area of the box his present was in?

Answer:

Step-by-step explanation:

Answer:

10    7

20   14

30   21

Step-by-step explanation:

Answer:

3.39

Step-by-step explanation:

Answer:

X=8

Step-by-step explanation:

3×X =6×4

3X=24

X= 24÷3

X= 8

The equivalent value of the proportion is ( 3/4 ) = ( 6/8 ) and x = 8

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

( 3/4 ) = ( 6/x )

Multiply by x on both sides , we get

( 3/4 )x = 6

Divide by 3 on both sides , we get

( 1/4 )x = 2

Multiply by 4 on both sides , we get

x = 8

Hence , the proportion is ( 3/4 ) = ( 6/8 )

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Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

Answer:

[tex]P(G\ then\ R)=0.045[/tex]

Step-by-step explanation:

From the question we are told that:

Percentage of  Green beads [tex]P_g=18[/tex]

Percentage of  Red beads    [tex]P_r=18[/tex]

Percentage of Purple beads [tex]P_p=18[/tex]

Therefore

Probability of choosing a Green bead is

 [tex]P(G)=0.18[/tex]

Probability of choosing a Red bead is

 [tex]P(R)=0.25[/tex]

Generally the equation for choosing a green bead then a red bead is mathematically given by

Since Outcomes are independent

 [tex]P(G\ then\ R)=0.18*0.25[/tex]

 [tex]P(G\ then\ R)=0.045[/tex]

Answer:

y= 8/7x+ 37/7 for the equation that the line passes

Answer:

y+5=8/7(x+9)

Step-by-step explanation:

Answer:

Option C. 8

Step-by-step explanation:

It is a right triangle.

let

AC = 10

BC = 6

AB = x

Using Pythagoras theorem

[tex] {ab}^{2} + {bc}^{2} = {ac}^{2} \\ {x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x }^{2} = 100 - 36 \\ {x}^{2} = 64 \\ x = \sqrt{64} \\ x = 8[/tex]

Answer:

D is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can use sen30° to solve it:

Since Sen=Opposite side / diagonal

Sen30° = OS/D

1 / 2 = x / [tex]2\sqrt{3}[/tex]  

2x = [tex]2\sqrt{3}[/tex]  

x = [tex]\sqrt{3}[/tex]

Answer:

polygon is regular. Round answer to the nearest tenth

Step-by-step explanation:

Answer: 40.5

Step-by-step explanation:

Answer:

90 km

Step-by-step explanation:

Answer:

5.65685424.

Step-by-step explanation:

Square Root of 32: √32 = 5.65685424...

Answer:6

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

its the one with 2000$ in it

Step-by-step explanation:

Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]

Answer:

x = -7

Step-by-step explanation:

Seven times a number and seven is equal to six times a number.

Word problems can be tricky no matter what level of math or science you are in.

First look at the question for words that indicate mathematical symbols.

"times" indicates multiplication

"and" indicates addition

"a number" means we have a variable, x, to solve for

Now we can go from left to right and write it in a mathematical equation

7x + 7 = 6x

Then, solve for x

7x + 7 = 6x

7 = 6x - 7x

7 = -1x

7/-1 = x

x = -7

Finally, we check our work.

7x + 7 = 6x

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42 √

The answer is x = -7

Answer:

1,024 ÷ by how many number of rounds= x

Answer:

1,024(0.50)^x That is the answer......................................

Answer:

11

Step-by-step explanation:

5+6

Answer:

$128.81 per week

$515.24 per month

$6182.88 per year

Step-by-step explanation:

[tex]\frac{11.71}{y} :\frac{1}{11}[/tex]

y = 128.81

[tex]\frac{128.81}{y} :\frac{1}{4}[/tex]

y = 515.24

[tex]\frac{515.24}{y}: \frac{1}{12}[/tex]

y = 6182.88

Answer:

(7, 0) and (3,0)

Step-by-step explanation:

On the graph, the parabola crosses the x-axis at two points. The two points are called the roots. And since they cross at (7, 0) and (3, 0), they are our roots. Hope this helps!

Answer:

-7 and -3

Step-by-step explanation:

Hello!

The roots of a parabola are the points at which the graph intersects the x-axis. The x-axis is located at y = 0.

As you can see, the graph's vertex is below the x-axis and opens upwards. This means the graph has 2 roots.

The points of intersection are:

The roots of the parabola are -7 and -3.

Answer:

3÷4 = 0. 75

1 ÷ 2 = 0 . 5

Step-by-step explanation:

3 ÷ 4 = 0 . 75

1 ÷ 2 = 0 . 5

Answer:

6

Step-by-step explanation:

To breakeven means that you made exactly as much money as you spent, so if you spent $50 to make lemonade, you would need to make $50 in profits from selling to break even

first subtract the cost of making each horse from the price of selling each horse (you do this to find out how much profits he makes from one horse):

125 - 75 = 50

now divide 300 by 50 to find out how many horses need to be made to break even:

300 ÷ 50 = 6

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3