Marcia needs to wrap a gift box that's 16 in x 18 in x 44 in.

How much wrapping paper will she need to cover the surface area of the box?

A) 1,784 in^2
B) 12,672 in^2
C) 6,336 in^2
D) 3,568 in^2

​

Step-by-step explanation:

[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]

Answer:

x= -5

Step-by-step explanation:

5y-z= -31, add z and 31 to both sides

5y+31 = z, substitute z in the other two given equations

2x - 2y+z=3

2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides

2x+3y = -28

x+ 3y + 2z = -21

x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis

x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides

x+13y = -83

Now we have 2 equations  with 2 variables x and y to solve

2x+3y = -28

x+13y = -83

Because we need to find x then from the first equation we can write that

3y = -2x-28, subtract 2x from both sides and the divide both sides by 3

y = (-2x-28)/3, substitute this in the second equation

x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis

(3x/3)+[(-26x - 364) /3= -83, find the common denominator

3x+[(-26x - 364) = -83*3 , cross multiply

3x -26x = -249 +364, add 364 to both sides

- 23x = 115, divide both sides by (-23)

x= -5

Answer:

You would just plot it on the 1

the absolute value of positive 1=1

Answer:

18 cm

Step-by-step explanation:

You can find the length of the diagonal by using the Pythagorean theorem.

a^2 + b^2 = c^2

12^2 + b^2 = c^2

144 + 169 = c^2

c^2 = 313

c = √313

c = 17.6918...

Answer: 18 cm

Answer:

In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4

Step-by-step explanation:

If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.

The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD =       y * √(5x² + 4y² - 2xy√5)

To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height

In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.

Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:

BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)

BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)

Simplifying the equation:

BD² = x² + 4x² - 4x² * (-1/2)

BD² = 5x²

Taking the square root of both sides:

BD = √(5x²) = x√5

Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.

Now, we can find the length of side BC. In triangle BCD, we have:

BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)

BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)

BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)

Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.

BC² = 5x² + 4y² - 4xy√5 * cos(60°)

BC² = 5x² + 4y² - 4xy√5 * (1/2)

BC² = 5x² + 4y² - 2xy√5

The area of triangle ABD is given by:

Area ABD = (1/2) * AB * AD * sin(∠BAD)

Area ABD = (1/2) * x * 2x * sin(120°)

Area ABD = x² * √3 / 2

The area of triangle BCD is given by:

Area BCD = (1/2) * BC * CD * sin(∠BCD)

Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)

Area BCD = y * √(5x² + 4y² - 2xy√5)

Further calculations require numerical values for x and y to obtain specific areas.

For more such questions on area of triangle

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Answer:

cr qe deobpaase r

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

5 bracelets

Step-by-step explanation:

You answer is In 18 weeks he'll have the $400 for the new phone.

I know this because she needs 400 but already has 130 so (400-130=270)

This means that Ruby is missing 270 to get to the 400 that he needs for the phone.He gets $15 per week so now that's (270/15=18).Which means that in 18 weeks Ruby will complete to full $400 that he needs for a new phone.

The required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Ruby has $130 saved. She is saving $15 dollars more each week.

According to given question we have

let x represent the number of weeks

she saves $15 each week,

then in x weeks she will save = 15x dollars.

Add this to the 130 she has already saved, and at the end of each week we get

15x + 130dollars.

So,

15x + 130 = 400

Subtract 130 from both sides we get

15x-130+130=400-130

15x=270

Divide by 15 on both sides we get

x=18

Therefore, the required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.

Learn more details about arithmetic here:

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Answer:

Step-by-step explanation:

B

Answer:

(-19,15)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the points have same x- coordinate of -7, the distance is the difference in y - coordinates:

Correct choice is C

Distance

[tex]\\ \sf\longmapsto \sqrt{(-7+7)^2+(-9+3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-6)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36}[/tex]

[tex]\\ \sf\longmapsto 6[/tex]

Answer:

y = (5/2)x + 13/2

y = 3

y = -2x + 6

Step-by-step explanation:

The left part of the function which is a line sloping up to the right contains points (-3, -1) and (-1, 4) which can be read off the graph.

Since we have two points, we can find the equation.

You can use the slope formula given two points, but I will read it off the graph with rise and run.

Go from point (-3, -1) to point (-1, 4) by going up 5 (the rise) and going right 2 (the run).

slope = rise/run = 5/2

y = mx + b

y = (5/2)x + b

Use point (-1, 4) for x and y and solve for b.

4 = (5/2)(-1) + b

8/2 + 5/2 = b

b = 13/2

y = (5/2)x + 13/2

This is the first answer.

The middle part is a horizontal line in which every point has y-coordinate 3.

The equation is:

y = 3

This is the second answer.

The right part is the line that slopes down to the right. We can read two points easily. Use points (3, 0) and (2, 2).

Start at (3, 0). Go left 1 (run of -1) and up 2 (rise of 2). Now you are at point (2, 2).

slope = rise/run = 2/(-1) = -2

Now we find the y-intercept on the graph. After you get to (2, 2), keep moving with the same run and rise of the slope. Go left 1 and up 2 to point (1, 4). Go again left 1 and up 2 to (0, 6). Point (0, 6) is on the y-axis, so it is the y-intercept.

b = 6

y = mx + b

y = -2x + 6

This is the third answer.

Answer:

786 rounded to the nearest ten is 770.

Step-by-step explanation:

To round to the nearest 10, look at the units digit. if the units digit is 5 or more, round up. If the units digit is 4 or less, round down.

If I'm not wrong, then the answer will be:-

Given

• centers A, B, C

• three congruent sides

• have no common points

So, the result is:-

| PQ | + | RS | + | TU | = | QR | + | ST | + | UP |

I hope this answer is correct and helps you.

✍️ By Benjemin ☺️

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Step-by-step explanation:

If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

I would actually need you to translate this into english I I would be able to answer for you :)

Answer:

For the first one is 75 and 30 looks on a calculator add 75+75+30=180

Answer:

whats the question ❓friend maybe I'll be able to help

Answer:

Scale Factor = 2

Reason:

Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.

I held their horizontal sides and compared them.

in case of A, the side is 2.5 and in case of B it's 5.

so, 5 divided by 2.5 gets you 2, that is the scale factor.

3, 5 (from left to right)

Solution:

[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]

this also means

[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]

Using this we'll get the answer to the question marks

=> corresponding side in B = 2 × 1.5

= 3

(this is the first question mark in order from left to right)

= 2 × 2.5

= 5

53° and 37° (from top to bottom)

Solution:

Scaled shapes have the same angle measures.

Reason:

When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.

Answer:

1 hour equals 18 bucks

144 divided by 18 equals 8 so she works for 8 hours to get 144 bucks

Step-by-step explanation:

144 divided by 18 equals 8

Answer:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds.  

Step-by-step explanation:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9

cost of almond nuts per pound=$5.25

cost of the mixture per pound=$6.5

total pounds of the mixture to be made=12

let the pounds of macadamia nuts=x

pounds of almond nuts=y

total pounds of nuts=x+y= 12

x + y = 12(1)

9x +5,25y = 6.5(x+y)

9x+5.25y=6.5*12

9x+5.25y=78(2)

solving (1) and (2)

x=4 y=8

Answer:

B

Step-by-step explanation:

if the number of chocolate changes the number of calories changes too

give brainlest if correct thank you :)

Answer:

2 1/4 pizzas

Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4

Answer:

[tex](-9,\, 17)[/tex] is in the second quadrant of a cartesian plane.

Step-by-step explanation:

The horizontal and vertical axes divides the cartesian plane into four quadrants. The quadrants are numbered counterclockwise, starting from the top-right corner:

[tex]\begin{array}{c|c}\text{second quadrant} & \text{first quadrant} \\\cline{1-2} \text{third quadrant} & \text{fourth quadrant}\end{array}[/tex].

(The quadrants do not include the two axes. Points on either axes are not in any of the quadrant.)

A point in the form [tex](x_{0},\, y_{0})[/tex] is on the right half of the plane (to the right of the vertical axis) if [tex]x_{0} > 0[/tex]. This point is on the vertical axis through the middle of the plane if [tex]x_{0} = 0[/tex]. Otherwise, if [tex]x_{0} < 0[/tex], this point would be on the left half of the plane (to the left of the vertical axis.)

The [tex]x[/tex]-coordinate of [tex](-9,\, 17)[/tex] is [tex]x_{0} = -9[/tex].

Since the [tex]x[/tex]-coordinate of this point is below zero ([tex](-9) < 0[/tex]), this point would be on the left-hand side of the origin to the left of the vertical axis.

Likewise, a point in the form [tex](x_{0},\, y_{0})[/tex] is above the horizontal axis if [tex]y_{0} > 0[/tex], on the horizontal axis if [tex]y_{0} = 0[/tex], and below the horizontal axis if [tex]y_{0} < 0[/tex].

The [tex]y[/tex]-coordinate of the given point [tex](-9,\, 17)[/tex] in this question is [tex]y_{0} = 17[/tex].

Since the [tex]y[/tex]-coordinate of this point is greater than zero ([tex]17 > 0[/tex]), this point would be above the horizontal axis.

Thus, the point [tex](-9,\, 17)[/tex] would be in the top-left quarter of the plane. The top-left quarter of the plane corresponds to the second quadrant, since this quadrant is the second quadrant after the first quadrant in the top-right corner. Hence, [tex](-9,\, 17)\![/tex] would be in the second quadrant of the plane.

Answer:

a values of r and a that the answer

Answer:

x = -6

Step-by-step explanation:

You want to get x to only one side:

4x - 5 = -11 + 3x

-3x               -3x

x - 5 = -11

Now move 5 to the right side:

x - 5 = -11

   +5   +5

x = -6

Answer:

15 mm = 1.5 cm

27 mm = 2.7 cm

48 mm = 4.8 cm