Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner.
6x+3y - 27
5x+2y = 21
Which variable should he choose so that he can use substitution to solve the system?
Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to
eliminate the coefficient for y.
Jon should solve for x in the first equation because the coefficients can be reduced by a common factor to
eliminate the coefficient for x.
Jon should solve for y in the second equation because the coefficients can be reduced by a common factor to
eliminate the coefficient for y.
Jon should solve for x in the second equation because the coefficients can be reduced by a common factor to
eliminate the coefficient for x.
Submit

Answer:

8 disasters

Step-by-step explanation:

We can write a proportion to solve this

1 disaster           x disaster

---------------- = ------------------

4 tries               32 tries

Using cross products

1*32 = 4x

32 = 4x

Divide by 4

32/4 = 4x/4

8 =x

Answer:

The answer is 8 dishes will be a disaster.

Step-by-step explanation:

Answer:

solving we get Solution set = {4,0}

Step-by-step explanation:

We are given system of equation:

[tex]9x + 4y = 36---eq(1)\\6x + 2.5y = 24---eq(2)[/tex]

Multiply eq(1) by 2 and eq(2) by -3

[tex]18x \ \ + 8y \ \ \ = 72\\-18x - 7.5y = -72\\---------\\0.5y=0\\y=0[/tex]

We get y=0,

Now finding x by putting value of y in eq(1)

[tex]9x + 4y = 36\\9x+4(o)=36\\9x=36\\x=\frac{36}{9}\\x=4[/tex]

So, solving we get Solution set = {4,0}

Answer:

The answer is X equals 17

Answer:

For a rectangular solid with:

width = w

length = l

height = h

The volume is equal to:

V = w*l*h

in this case we know that:

width = w.

"length of 7 more than the width"

l = w + 7.

"a height that is equivalent to 15 decreased by 3 times the width."

h = 15 - 3*w

Then the volume will be:

V = w*l*h = w*(w + 7)*(15 - 3w) = (w^2 + 7*w)*(15 - 3*w)

V =  ( -3*w^3 + 15*w^2 + 105*w - 21*w^2)

V = (-3*w^3 - 6*w^2 + 105*w)

Now, the maximum volume will be for the value of w such that:

V'(w) = 0.

and:

V''(W) < 0

Where:

dV/dw = V'(w).

dV'/dw = V''(w)

Then first we need to differentiate the equation for the volume.

V'(w) = dV/dw = ( 3*(-3*w^2) + 2*(-6*w) + 105)

V'(w) = -9*w^2 - 12*w + 105.

Then we need to find the solution for:

-9*w^2 - 12*w + 105 = 0.

We can use the Bhaskara formula, and we will get:

[tex]w = \frac{+12 +-\sqrt{(-12)^2 - 4*(-9)*105} }{2*-9} = \frac{+12 +- 62.6}{-18}[/tex]

Then the two solutions are:

w₁ = (+12 - 62.6)/(-18) = 2.81

w₂ = (+12 + 62.6)/(-18) = -15.5

But we can not have a negative width, so we can just discard the second solution.

Now let's check the second condition for the maximum, we must have:

V''(2.81) < 0.

V'' = dV'/dw = 2*(-9*w) - 12 = -18*w - 12

V''(2.81) = -18*2.81 - 12 = -62.58 < 0 .

Then the volume is maximized when w = 2.81, and the maximum volume will be:

V(2.81) =  (-3*(2.81)^3 - 6*(2.81)^2 + 105*2.81) = 180.1

Answer:

1 5/27 = 32/27

= 1.1851851852

Round off the answer to two or three decimals points. I prefer two. So the answer is 1.19.

Thank you and please rate me as brainliest as it will help me to level up

We are to express a given fraction into a decimal.

A fraction is the ratio of two numbers usually with a numerator and the denominator separated by a horizontal bar in between them.

On the contrary, the division of the fraction will result in a decimal number(a standard system of representing fractions)

To divide;

[tex]\mathbf{=\dfrac{15}{27}}[/tex]

= 0.5556

Therefore, we can conclude that the fraction 15/27 in decimal = 0.5556

Learn more about fractions here:

https://brainly.com/question/6201432?referrer=searchResults

Answer:

120

Step-by-step explanation:

I'm assuming your looking for the area (if not pls tell me and I will make corrections)

So to get the area of a 3D shape you multiply the length, width, and height

5×4×6=120

Answer:

it travels 13 inches in one rotation

The measure of angle FDE (m ∠FDE) is m ∠FDE = 92°

From the question, we are to find the measure of angle FDE

In the given diagram, we can observe that

∠BDC + ∠FDB = 180° (Sum of angles on a line segment)

From the given information,

m ∠BDC = (8x+12)°

and

m ∠FDB = (12x−32)°,

Thus,

(8x+12)° + (12x−32)° = 180°

8x + 12 + 12x - 32 = 180

8x + 12x = 180 + 32 - 12

20x = 200

x = 200/20

x = 10

Now, we are to determine the measure of angle FDE (m ∠FDE)

In the diagram,

∠FDE = ∠BDC (Vertically opposite angles)

Thus,

m ∠FDE = (8x+12)°

Put the value of x into the equation

m ∠FDE = (8(10)+12)°

m ∠FDE = (80+12)°

m ∠FDE = 92°

Hence, the measure of angle FDE (m ∠FDE) is m ∠FDE = 92°

Here is the complete question:

Refer to the figure.

If m∠BDC=(8x+12)° and m∠FDB=(12x−32)°, find m∠FDE.

Learn more on Measure of angles here: https://brainly.com/question/16719487

#SPJ1

Answer:

120ft/sec

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

DONE THIS

Answer:

74

Step-by-step explanation:

Anna:

Because the principal amount deposited by Anna is compounded by 6% every year, the growth is exponential.

Answer: D. Brian and Kendra

Answer:

84.67

Step-by-step explanation:

Given that :

First test:

Mean (m) = 58

Standard deviation (s) = 6

A score of 66 on the first test :

Z score (standardized score) :

Z = (66 - 58) / 6

Zscore = 1.3333

Second test:

Mean (m) = 78

Standard deviation (s) = 5

Using the Zscore pertaining to 66 in the first test :

Z = (x - m) / s

1.3333 = (x - 78) / 5

1.3333 * 5 = x - 78

6.66667 = x - 78

x = 6.6667 + 78

x = 84.67

Answer:

"a quotient of a number and 6" refers to n6 or n÷6 .

Step-by-step explanation:

r. Let's let n be the "number". Therefore, "a quotient of a number and 6" refers to n6 or n÷6 .

Answer: y = 2/3 (x + 3) +7

Step-by-step explanation:

1. Find the slope

Slope is found by the change in y over the change of x.

(7-3)/(3--3)

2. Evaluate

4/6

3. Simplify

2/3

4. Find a point to use in the equation, so you can write the equation in point, slope form. For this problem, I have chosen the provided point, (-3, 7)

Point slope form: y = m(x - x1) + y1

5. Plug the point into the equation

y = 2/3 (x + 3) +7

Answer:            

the answer is 5 i think

Step-by-step explanation:

dont come at me if i am wrong

Answer:

80 degrees I think

Step-by-step explanation:

Please give me the brainliest i only need two more to get expert

Answer:475 inches

Step-by-step explanation:

476 is the answer because:

100 * 4.75 = 475

*Therefore, the answer is 475 inches.

Hopefully this helps:)

Answer:

35.71

Step-by-step explanation:

Answer:

Step 3: He should have divided both sides by -7.

Step-by-step explanation:

He divided by 7 not -7.

Hope this helps. Pls give brainliest.

Answer:

x = -5

Step-by-step explanation:

Original Equation:

4 = x + 9

Subtract 9 from both sides

-5 = x

So x = -5

Hope this helps :)

Please consider Brainliest :)

Answer:

-5

Step-by-step explanation:

instead of adding ur subtracting

9-4=-5

Answer:

4.33

Step-by-step explanation:

Complete Question

Consider the isosceles triangle. left side (2z+8)units, bottom of triangle (4z-10)units, right side of triangle (2z+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units

Answer:

d. (8z + 6) units

Step-by-step explanation:

The formula for the Perimeter of a Triangle is :Side A + Side B + Side C

Hence,

(2z + 8)units + (4z - 10) units + (2z + 8)units

= (2z + 8 + 4z - 10 + 2z + 8)units

Collect like terms

= 2z + 4z + 2z + 8 - 10 + 8

= 8z + 6 units

The expression that represents the perimeter of the triangle is (8z +6) units

Answer:

The equation is in the form of y = mx + b which make it really easy to graph.

m = the slope

b = the y-intercept

You can make the first point at the y-intercept.

Where x = 0 and y = 1, or plot the point ( 0, 1 ).

Next we use the slope to start plotting new points.

The slope is -3 which, in rise over run form, is [tex]\frac{-3}{1}[/tex]. Since -3 is negative we go down 3 units from the y-intercept and 1 to the right because it's positive. This makes a point at ( 1, -2 ). Then from that point go down 3 and 1 to the right again to get ( 2, -5 ).

We can continue using the slope to plot more points and then draw a continuous line through them to finish graphing the linear function.

Answer:

800

Step-by-step explanation:

Answer:

C.  800

Step-by-step explanation:

p = 1.50n - 500

700 = 1.50n - 500

1200 = 1.50n

n = 800

Answer:

a, d, e

Step-by-step explanation: