Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular
box with the dimensions shown below. He's trying to figure out how much gift wrap
he needs to cover the entire box. Should he calculate the total surface area or the
lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface
area. Calculate the one you choose, give that measurement of the box, and then
explain how you calculated it.
13 in
20 in
8 in

The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let x represent the number of wheat acres and y represent the number of corn acres, hence:

150x + 350 y ≤ 250000     (1)

Also:

x + y < 1200     (2)

The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200

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Applying the formula for volume of a rectangular prism and volume of a cube, we would have:

a. 6/125 cm³

b. 8/125 cm³

c. 1/125 cm³

d. 36/125 cm³

a. Volume of rectangular prism = length × width × height = (1/5) × (2/5) × (3/5)

Volume of rectangular prism = 6/125 cm³

b. Volume of cube = (side length)³ = (2/5)³

Volume of cube = 8/125 cm³

c. Volume of cube = (side length)³ = (1/5)³

Volume of cube = 1/125 cm³

d. Volume of rectangular prism = length × width × height = (3/5) × (4/5) × (3/5)

Volume of rectangular prism = 36/125 cm³

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Answer:

25h+12

Step-by-step explanation:

Add the numbers :

21h-10h + 16-9 + 14h+ 5

21h-10h + 12 + 14h

Combine like terms:

25h + 12

Answer:

C 10

Step-by-step explanation:

Heron's formula to calculate the area of a triangle based on 3 sides :

p (half the perimeter) = (a+b+c)/2

area = sqrt(p(p-a)(p-b)(p-c))

AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)

AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)

BC = b = sqrt(2² + 4²) = 2×sqrt(5)

p = 2×sqrt(5) + sqrt(10)

area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =

= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =

= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10

Answer:

The correct answer is D.

I hope this helps

Answer: y = x + 6

Step-by-step explanation:

[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]

[tex]m=-1[/tex]

[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]

[tex]\left(-1\right)m_p=-1[/tex]

[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]

[tex]m_p=1[/tex]

[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]

[tex]y=x+b[/tex]

[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]

[tex]4=\left(-2\right)+b[/tex]

[tex]-2+b=4[/tex]

[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]

[tex]-2+b+2=4+2[/tex]

[tex]\text{Simplify}[/tex]

[tex]b=6[/tex]

[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]

[tex]y=x+6[/tex]

Answer:

8a-9=7a+1 (inscribed angle are equal standing on the arc)

8a-7a=1+9

a=10

Answer:

7/350 7 to 350

Step-by-step explanation:

there are 3 ways to write a ratio

:

to

/

Answer: 3:2 and 2:3

Step-by-step explanation:

Scale factor is image/preimage.

So from A to B, the image is B and the preimage is A, so the scale factor is 6/4 = 3/2.

Similarly, from B to A, the scale factor is 4/6=2/3

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Answer:

that would be A. 360.

Step-by-step explanation:

when you think about it, a 360 is doing a full circle which is the only option here, because the point stays the same.

Usando proporciones, hay que:

Una proporción es una fracción de la cantidad total.

En este problema, dos automovis, en sentidos opostos, salen al mismo tiempo. Por eso, su velocidad relativa es de 90 km/h + 80 km/h = 170 km/h.

La distancia es de 255 km, por eso, el tiempo en que se encontraran, en horas, es dado por:

t = 255/170 = 1.5h

La distancia recorrida por cada auto es dada por:

dA = 90 x 1.5 = 135 km.

dB = 80 x 1.5 = 120 km.

Puede-se aprender mas a cerca de proporciones en brainly.com/question/26425852

Answer:

  3/4

Step-by-step explanation:

You can form the product, then cancel common factors, or you can cancel common factors before you form the product.

__

  [tex]5\times\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3\cdot5}{4\cdot5}=\boxed{\dfrac{3}{4}}\\\\\textsf{or ...}\\\\5\times\dfrac{3}{20}=\dfrac{5}{20}\cdot\dfrac{3}{1}=\dfrac{1}{4}\cdot\dfrac{3}{1}=\boxed{\dfrac{3}{4}}[/tex]

Exponential functions are used to represent growth or decay of a substance. The amount that will be left after 12 hours is 17.42mg

The standard form of an exponential equation is given as:

[tex]y=a(1-r)^t[/tex]

where;

Given the following parameters

a = 550mg

r = 0.25

t = 12

Substitute into the formula

[tex]y=550(1-0.25)^{12}\\y = 550(0.75)^{12}\\y=17.42mg[/tex]

Hence the amount that will be left after 12 hours is 17.42mg

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Answer:

14.4

Step-by-step explanation:

We have hypotenuse so cannot use tangent. We have adjacent so we can't use sine, therefore, we have to use cosine.

x = cos(59) x 28

x = 14.4

Answer: 4/6

Step-by-step explanation: This because most dice have a  6 sides on them and others have more and if you roll a 6-sided dice you will get 4/6 of a probabilty that you will role a 4.

Answer:

160 000

Step-by-step explanation:

400 000 - 240 000 = 160 000

Answer:

2 cartons

Step-by-step explanation:

Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.

Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!

Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).

8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces

So! Martina needs 64 fluid ounces of broth to be able to create her recipe!

But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!

64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons

Melina needs to buy 2 cartons of broth to be able to complete her recipe.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

350ml

Step-by-step explanation:

70% of 500=

500 divided by 10=50

50x7=350ml

Answer:

juice contained in large bottle = 500 ml

juice contained in medium bottle = 70% of large bottle

= 70 % of 500 ml

= 70/100 × 500

= 350 ml

Answer:

673.82 cm³

Explanation:

cylinder volume : [tex]\sf \pi r^2h[/tex]

[tex]\rightarrow \sf \pi (4.3)^2(11.6)[/tex]

[tex]\rightarrow \sf 673.82 \ cm^3[/tex]

Answer:

4

Step-by-step explanation:

Here are the Numbers: 1,2,4,6,41,2,4,6,41,2,4,6,4

First we order from least to greatest;

1,2,2,2,4,4,4,4,6,6,6,41,41

Since the amount of numbers are odd, we just take the middle number:4

The polynomial-like expression is satisfied by the real value x = 1.

In this question we must apply the concepts of logarithms and algebra properties to solve the entire expression. Initially, we expand the right part of the expression:

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

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

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

[tex]3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2} = 0[/tex]

[tex]2^{x}-4 + 4^{x}-2 = 0[/tex]

[tex]2^{x}\cdot 2^{x} + 2^{x}-6 = 0[/tex]

[tex]u^{2}+u - 6 = 0[/tex]

[tex](u+3)\cdot (u-2) = 0[/tex]

Hence, the roots of the pseudopolynomial are [tex]u_{1} = -3[/tex] and [tex]u_{2} = 2[/tex]. Only the second one have a real value of x. Hence, we have the following solution:

[tex]2^{x} = 2[/tex]

[tex]x\cdot \log 2 = \log 2[/tex]

[tex]x = 1[/tex]

The polynomial-like expression is satisfied by the real value x = 1. [tex]\blacksquare[/tex]

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Answer:

C. 5%

Step-by-step explanation:

if u count the shaded part it is 5 shaded out of 100 so that fraction is 5/100 which is .05 as a decimal and 5% as a percent

Answer:

1) There were 120 customers per night when the restaurant opened

2) y = -2x + 24

Step-by-step explanation:

1) x represents the # of months since a restaurant opened, and y represents the average number of nightly customers.

y=mx+b

120 is b in this situation, which is the y-intercept of the line. This means that 120 is the starting number of customers when the restaurant first opened.

Answer:

y = 3x - 2

Step-by-step explanation:

Use the point-slope equation since we are given a point that the line passes through and its slope:

y - y1 = m(x - x1)

(-2, -8), m = 3

Substitute these values into the equation.

The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.

Answer: acute angle

Step-by-step explanation: acute angle is the smallest starting from 0 to 90 DDegrees .

Answer:

yes

Step-by-step explanation:

(x,y) -> (1,-9)   y=-9

Answer:

option D 201.1km²

Step-by-step explanation:

Area of sector=∅/360×πr²

=90/360×22/7×16×16

=1/4×22/7×16×16

=22/7×64

=1408/7

=201.1km²

Answer:

28+2x

Step-by-step explanation:

simplificar la expresión.