Use the Distributive Property to expand 4(3x+4y)
Use the Distributive Property to expand 4(3x+4y)

Answer:

ummm maybe $4.90, i don't really know how to incorporate rounding in this

A

Step-by-step explanation:

combine like terms and simplefiy

Answer:

1/3

Step-by-step explanation:

2/6

divide both by 2 because they're both even

2/2=1    6/2=3

1/3

Answer:

1800

Step-by-step explanation:

because 15 goes into 90 6 times and 300 times 6 is 1800

Answer:

1800 miles

Step-by-step explanation:

300 miles on 15 gallons

90/15=6

6 times 300=1800

Answer:

[tex]p = 19.18[/tex]

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]

Let the strawberry side be s, the Green beans be b and the pumpkins be p.

The cosine formula in this case is:

[tex]g^2 = s^2 + p^2 - 2spCosG[/tex]

Where

[tex]s = 10[/tex]

[tex]g = 18[/tex]

[tex]<G =68[/tex]

The equation becomes

[tex]18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68[/tex]

[tex]324 = 100 + p^2 - 20 * p * 0.375[/tex]

[tex]324 = 100 + p^2 - 7.5p[/tex]

Collect Like Terms

[tex]p^2 - 7.5p + 100 - 324 = 0[/tex]

[tex]p^2 - 7.5p - 224 = 0[/tex]

Using quadratic formula:

[tex]p = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

Where

[tex]a = 1[/tex]

[tex]b = -7.5[/tex]

[tex]c = -224[/tex]

[tex]p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}[/tex]

[tex]p = \frac{7.5\±\sqrt{56.25+896}}{2}[/tex]

[tex]p = \frac{7.5\±\sqrt{952.25}}{2}[/tex]

[tex]p = \frac{7.5\± 30.86}{2}[/tex]

[tex]p = \frac{7.5 + 30.86}{2}[/tex] or [tex]p = \frac{7.5 - 30.86}{2}[/tex]

[tex]p = \frac{38.36}{2}[/tex] or [tex]p = \frac{-23.36}{2}[/tex]

[tex]p = 19.18[/tex] or [tex]p = -11.68[/tex]

But length can not be negative.

So:

[tex]p = 19.18[/tex]

Answer:

1 gallon of white paint

Step-by-step explanation:

correct me if im wrong

Answer:

I THINK ITS THE 3RD ONE

Step-by-step explanation:

Answer:

One root is 90 degrees or  π/2 radians.

Drawing a graph we get all the roots:

nπ and π(n - 1/2)

Step-by-step explanation:

Sin^3A.cos A + Cos^ 3 A = Cos A​

Divide through by cos A

sin^3A + cos^2A = 1

sin^3 A = 1 - cos^2 A

sin^3 A = sin^2 A

sin A = 1

So one  root is A = 90 degrees or π/2 radians.

Checking this result:

(sin 90^3 * cos 90 + (cos 90)^3 = 1 * 0 + 0 = 0

cos 90 = 0

So this is correct..

Mixing is a physical reaction, which does not change any chemical properties of elements and molecules because it does not change the number of protons.

It is the number of protons that determine the unique properties of each element (hence why the periodic table sorts elements by increasing the number of protons).

Answer:

210 divided by 15=14

thats your answer

Step-by-step explanation:

Answer:

The equation y = 3x shows a proportional relationship between x and y

Step-by-step explanation:

Let us solve the question

Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship

∵ y = 3x

∵ x = 0

∴ y = 3(0)

∴ y = 0

→ That means the line that represents the equation passes through

   the origin point

∴ The equation y = 3x shows a proportional relationship between x and y

Answer:

It would be b

Step-by-step explanation:

Answer:

Answer choice 3

Step-by-step explanation:

Answer:

Dude! Stop telling people to do your work on DeltaMath

Step-by-step explanation:

9514 1404 393

Answer:

  40 cm × 40 cm × 40 cm

Step-by-step explanation:

Since this is in the high-school math forum, we assume that you're not intended to use calculus to determine the answer. All three dimensions are open for variation, so we'll try to use some logic to determine a reasonable solution.

The dimensions of a box are interchangeable with respect to their effect on surface area. You can see this in the area formula:

  A = 2(LW +LH +WH)

That is, no particular dimension makes more or less contribution to surface area than any other. This suggests that the minimum area will be obtained when each dimension is equal to the others. That is, a cube has the minimum surface area for a given volume.

The volume of a cube in terms of its edge dimension s is ...

  V = s³

So, the edge dimension is ...

  s = ∛V = ∛(64000 cm³) = 40 cm

The dimensions of the box are 40 cm × 40 cm × 40 cm.

_____

Calculus method of Lagrange Multipliers

We want to minimize A=2(LW +WH +LH) subject to the constraint that LWH = 64000. We can write the Lagrangian as ...

  L = 2(LW +WH +LH) +λ(LWH -64000)

We want to set all of the partial derivatives of L to zero.

  dL/dL = 0 = 2(W+H) +λWH

  dL/dW = 0 = 2(L+H) +λLH

  dL/dH = 0 = 2(L+W) +λLW

  dL/dλ = 0 = LWH -64000

Solving the first two equations for λ and setting the results equal, we have ...

  -2(W+H)/(WH) = λ = -2(L+H)/(LH)

Multiplying by H/(-2) gives ...

  1 +H/W = 1 +H/L   ⇒   W = L

Similarly, solving the 2nd and 3rd equations for λ and setting the results equal, we have ...

  -2(L+H)/(LH) = λ = -2(L+W)/(LW)

  1 +L/H = 1 +L/W   ⇒   H = W

So, now we know that L = W = H, which is the assumption we started with in our "logical" answer.

Answer:

Step-by-step explanation:

By the arithmetic-geometric mean inequality, surface area of any rectangular parallelpiped satisfies

2(xy+yz+zx)≥2(3)(x2y2z2−−−−−−√3)=6V23.

On the other hand, a cube with side lengths V13 has surface area

2(V13V13+V13V13+V13V13)=6V23.

Hence the cube does indeed have minimum surface area

Answer:

1. 3

2. 20

3. 240

4. 1600

Answer: 1863

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Because if you start with X + Y

and

X= 12

Y = 81

you would do

12 + 81

witch is 93

Answer:

You didn't list the answers but it's 43.98 so close to 44 I'm guessing

Step-by-step explanation:

circumference=2*pi*r

2*3.14*7=about 44

Answer:

Approximately 22 or 7πcm

Step-by-step explanation:

The ratio between the circumference of a circle and its diameter is π. We commonly write c=2πr, using the radius instead and doubling.

In the given example, we are told that the diameter is

7 cm. So using the common approximation π≈[tex]\frac{22}{7}[/tex] we find that the circumference is approximate:

[tex]\frac{22}{7} * 7cm= 22 cm[/tex]

Complete Question:

There are 8 rows and 8 columns, or 64 squares on a chessboard.

Suppose you place 1 penny on Row 1 Column A,

2 pennies on Row 1 Column B,

4 pennies on Row 1 Column C, and so on …

Determine the number of pennies in Row 1

Determine the number of pennies on the entire chessboard?

Answer:

255 in the first row

18,446,744,073,709,551,615 in the entire board

Step-by-step explanation:

Given

[tex]Rows = 8[/tex]

[tex]Columns = 8[/tex]

Solving (a): Number of pennies in first row

The question is an illustration of geometric sequence which follows

[tex]1,2,4....[/tex]

Where

[tex]a =1[/tex] --- The first term

Calculate the common ratio, r

[tex]r = \frac{T_2}{T_1} = \frac{4}{2} = 2[/tex]

The number of pennies in the first row will be calculated using sum of n terms of a GP.

[tex]S_n = \frac{a(r^n - 1)}{n - 1}[/tex]

Since, the first row has 8 columns, then

[tex]n = 8[/tex]

Substitute 8 for n, 2 for r and 1 for a in [tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

[tex]S_8 = \frac{1 * (2^8 - 1)}{2 - 1}[/tex]

[tex]S_8 = \frac{1 * (256 - 1)}{1}[/tex]

[tex]S_8 = \frac{1 * 255}{1}[/tex]

[tex]S_8 = 255[/tex]

Solving (b): The entire board has 64 cells.

So:

[tex]n = 64[/tex]

Substitute 64 for n, 2 for r and 1 for a in [tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

[tex]S_{64} = \frac{1 * (2^{64} - 1)}{2 -1}[/tex]

[tex]S_{64} = \frac{(2^{64} - 1)}{1}[/tex]

[tex]S_{64} = \frac{(18,446,744,073,709,551,616 - 1)}{1}[/tex]

[tex]S_{64} = \frac{18,446,744,073,709,551,615}{1}[/tex]

[tex]S_{64} = 18,446,744,073,709,551,615[/tex]

Answer:

La cantidad de plumas que se deben poner en cada caja para que se utilice el menor número posible de cajas es 28.

Requieres 8 cajas con plumas de color negro y 15 cajas con plumas de color rojo, necesitando 23 cajas en total.

Step-by-step explanation:

El divisor común  es un número que es divisor a la vez de dos o más números, es decir, es un divisor común a esos números.

Por lo que se denomina máximo común divisor o M.C.D al mayor número que divide exactamente a dos o más números a la vez. En otras palabras, el Máximo Común Divisor es el mayor de los divisores comunes de varios números.

Para calcular el M.C.D, se descompone cada uno de ellos en factores primos. El M.C.D. es el resultado de multiplicar los factores que se repitan en todas las descomposiciones, afectados por el menor exponente.

En este caso, los números 224 y 420 se descomponen en:

224= 2⁵*7

420= 2²*3*5*7

Entonces, el M.C.D entre 224 y 420 es calculado como 2²*7, que da como resultado 28. Esto indica que la cantidad de plumas que se deben poner en cada caja para que se utilice el menor número posible de cajas es 28.

Para el calculo de cantidad de cajas que se necesitan, primero es necesario saber cuántas cajas de cada color de plumas se necesitan. Para eso, debes dividir la cantidad de plumas que tienes por la cantidad de cajas por las que debes repartirlo:

224 plumas negras÷ 28= 8

420 plumas rojas÷ 28= 15

Por lo que requieres 8 cajas con plumas de color negro y 15 cajas con plumas de color rojo, necesitando 23 (8+15) cajas en total.

Step-by-step explanation:

x-8= -3x²+4x-1

3x²+x-4x=-1+8

3x²-3x=7

3x²-3x-7=0

x²-x-3.5=0

Delta = -1²-(4)(1)(-3.5)

+1+14=15

x1=-1- sqrt(15) /2(1) =2.43

x2=-1+sqrt(15)/2(1) =-1.93

I don't think it is right but i tried my best

Answer:

A

Step-by-step explanation:

In the proof, it says that MO is congruent to MO, <PMO is congruent to <NMO, and <POM is congruent to <NOM. We can locate these angles and side to find that these congruent angles surround the side. Therefore, the congruent relation is ASA (angle-side-angle) postulate

Answer:

a. ASA Postulate

Step-by-step explanation:

The proof is using an angle, a side, and an angle, in that order, to prove two triangles congruent, so the missing reason in ASA Postulate.

Answer: a. ASA Postulate

Answer:

These are linear.  These values can all match the function y = 2x.

Answer:

$420 interest will be earned.

Step-by-step explanation:

The answer is 420 because 3.5% of 6000 is 210 and 210 multiplied by 2 is 420

P.S Can I have brainliest?

Answer:

D is the answer, the angles remain the same

Step-by-step explanation:

Answer:

We move the decimal point to the right by a number of digit places equal to  the power of 10.

Step-by-step explanation:

If we want to multiply a decimal by a power of 10, we move the decimal point to the right by a number of digit places which is the power of the number ten or the number of zeros which are present in the multiplying number 10. If we do not have a digit after the last digit, we put zeros to complete the number of digits until, we have the number of digit places added after the decimal point which are equal to the power of 10.

Using the example given above

8.653 x 10000, we have four zeros. So, in index form it is

8.653 x 10⁴

Since we have the number 10 raised to the power of four or having 4 zeros, we move the decimal point 4 places to the right.

So, 8.653 x 10000 = 8.653 x 10⁴ = 86530

Answer:

The answer is B. No only Zack will finish.

Step-by-step explanation: