-8x = 140

Solve for x

Answer:

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

Step-by-step explanation:

given:

Cost Eggs = $2

Cost of edema = $5

cost of  elbow Macaroni = $3

Lets eggs = x,

edamame = y

elbow macaroni = z

TC = 2x+5y+3z

Therefore;

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

the first objective is to make sure the total cost is subject to the required nutritional requirements.

So the total cost function (TC) is denoted by the number of servings multiplied for each costs. Eggs cost $2, edamame $5, and macaroni $3.

The problem subjects that each meal contains at least 40g of carbohydrates (this is the condition).

to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.

Same should be done for protein, we require at least 20 grams of protein,  Eggs add 17g, edamame adds 12g, and macaroni adds 8g.

and lastly we don't want more than 50 grams of fat,  Eggs add 14g, edamame add 6g and macaroni 1g.

Answer:

m∠A  = 38/3

Step-by-step explanation:

Sum of 3 angles of a triangle = 180°

m∠D + m∠A + m∠B = 180°

Substituting values given for each angle

121 + 2x + (x + 40) = 180

121  + 3x + 40 = 180

3x + 161 = 180

3x = 180-161 = 19

x = 19/3

m∠A = 2x = 38/3

Answer:

its C.

Step-by-step explanation:

omg that took forever to solve

Answer:

how will changing the amount of baking soda affect the texture of the cookies

Answer:

x=30

Step-by-step explanation:

600/20=30

The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:

y = a + bx

where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.

From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.

Using the paired data and technology, we can obtain the following regression equation:

height = 34.774 + 1.4966 (foot length)

Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:

height = 34.774 + 1.4966 (20.4)

height = 65.83 cm

Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

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Answer:

It depends on the equation in question. If Maggie is referring to an equation in the form of x = y, then adding 8 to both sides would still result in the same value of x and y being equal. For example, if the equation is 2x - 5 = 7, then adding 8 to both sides would result in 2x - 5 + 8 = 7 + 8, which simplifies to 2x + 3 = 15. In this case, adding 8 to both sides would not maintain equality.

However, if the equation is in the form of an inequality such as x < y or x > y, adding the same value to both sides may not maintain the inequality. For example, if the inequality is 2x - 5 < 7, then adding 8 to both sides would result in 2x - 5 + 8 < 7 + 8, which simplifies to 2x + 3 < 15. In this case, adding 8 to both sides would still maintain the inequality.

Therefore, whether or not adding 8 to both sides of an equation would still result in equality depends on the equation in question and the mathematical operation being performed.

Yes.  Yes I do.

If you think of an equation as a balance, where both sides have equal weight, then adding the same amount to both sides or taking away the same amount from both sides will still maintain that balanced weight.

We call this the addition property of equality:

    If a = b, then a+c = b+c for any expression c.

Answer:

shorter piece = 7 ft

longer piece = 19 ft

Step-by-step explanation:

L = longer board

S =  shorter board

L+S = 26   then  L =26-S

L = 5+2S

substitute for L

26-S = 5+2S

add S to each side & subtract 5 from each side

3S = 21

divide both sides by 3

3S/3 = 21/3

S = 7

L = 19

Therefore, after answering the given query, we can state that the quadratic formula gives us the following results: x = (13√421)/9

A quadratic algebraic in some kind of a single variable is x ax2+bx+c=0, so it's a quadratic equation. a 0. The fact that this equation is of second order guarantees that it has at best one solution according to the Basic Theorem of Algebra. Solutions might be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least single word in it has to be rounded. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the mathematical values or integers a, b, and c.

We may apply the power rule of differentiation to determine the derivative of H(x):

H'(x) = 18x² - 26x - 5

Finding the crucial points requires setting H'(x) equal to zero.

18x² - 26x - 5 = 0

The quadratic formula gives us the following results:

x = √26(262 0+ 4(18 × 5))/2(18)x

=  (13√41)/9

The essential spots' x-coordinates are represented by these two values. We may use the second derivative test to see if they are local maxima or minima. Using H'(x) as a derivative, we obtain:

H''(x) = 36x - 26

When we evaluate H"(x) at the two crucial locations, we obtain:

H'' (13 +√421)/9 ± 50.6

H'' (13 -√421)/9 ± 0.6

The critical point (13 + sqrt(421)) / 9) denotes a local minimum since H"((13 + sqrt(421)) / 9) is positive. Similar to the previous example, the critical point (13 - sqrt(421)) / 9) denotes a local maximum since H"((13 - sqrt(421)) / 9) is negative.

In light of this, the function H(x) has a local minimum at x = (13 + sqrt(421)) / 9) and a local maximum at x = (13 - sqrt(421)) / 9) for the value of x.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Add :

-1.25 + 2.5 = 1.25

For plotting the first one we first need to see the integer as here is 1 we will move to 1. Now, here it is given 0.25. Each line between 1 and 2 has 10 numbers gap so, as it 25 > 20 and 25 < 30. So, we should plot it between the 2nd and the 3rd line. As it is 5 it should be in between the line.

Refer the plotting for better identification

Add :

4.2 + (-0.4)

4.2 - 0.4

3.8

For plotting this one we will move to 3 than it has 8 < 10 so it should be plotted within the first dot.

Refer the attachment for better identification

Answer:

y = 10 + 5x

Step-by-step explanation:

We are told he travelled 10 km away from the city by bus.

Now, after that he walked by foot in the same direction at the speed of 5 km/h.

Now, distance = speed x time

In x hours, distance he will have walked by foot = 5x

Which means total distance he has covered both by bus and walking by foot = 10 + 5x

We are told y is the distance from the city after x hours of walking.

Thus;. y = 10 + 5x

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

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Answer: answer down

Step-by-step explanation:

0.9   -15/30   -3 14/28

In 0.02 seconds, the mortar shell will make contact with the target.

The formula for velocity, which is equal to distance / time, is used to calculate how long it will take to hit the target.

In the problem, the distance is 3 feet, and the velocity is given to be 150ft/s

therefore

150 = 3 / time

time = 3 / 150

time = 0.02 seconds

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Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Firstly, convert this percentage into a decimal. All you have to do is move the decimal point two digits to the left.

Your percentage is currently 140.00. The decimal would be 1.40.

Next, take the given number (15 in this case) and multiply it by the decimal number:

15 * 1.40 = 21.

Hope this helped!

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Answer:

The variance for the number of correct answers is 4.5.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the correct answer is guessed, or it is not. Questions are independent of each other, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The variance of the binomial distribution is:

\(V(X) = np(1-p)\)

24 questions

This means that \(n = 24\)

Each question has four possible answers one of which is correct

This means that \(p = \frac{1}{4} = 0.25\)

Find the variance for the number of correct answers

\(V(X) = np(1-p) = 24*0.25*0.75 = 4.5\)

The variance for the number of correct answers is 4.5.

Step-by-step explanation:

*Syntax Error*

just consult with your teacher

Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

The scatter plot that displays the relationship between the bench press and squat weights for this sample is given by the second image at the end of the answer.

From the scatter plot, it can be taken that the relationship is that the variables have a positive association, as when the bench press weight increases, so does the squat weight. The relationship, however, is not strong, as the scatter plot is not 100% increasing.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(bench press weight, squat weight).

From the table given by the first image at the end of the answer, the points are listed as follows:

(95, 141), (111, 208), (113, 100), (125, 218), (135, 284), (145, 275), (165, 338), (180, 338), (140, 420), (196, 420), (95, 141), (111, 208).

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Answer:

Yes it is correct.

Proportional relationships are relationships between two variables where their ratios are equivalent.

if you divide 4/16 with 4 you will find 1/4

good luck

Complete question :

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73B. 1.21C. 1.32D. 1.89

Answer: A.1.73

Step-by-step explanation:

Given the data:

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Difference betweenA and B (A - B) :

Xd = (A - B) = - 2.4, -0.3, 1.7, - 1.2, - 2.5

Sum of (A - B) = Σ Xd = (-2.4 + (-0.3) + 1.7 + (-1.2) + (-2.5) = - 4. 7

Md = ΣXd / n = - 4.7 / 5 = - 0.94

Xd - Md = (-2.4 + 0.94), (-0.3 + 0.94), (1.7 + 0.94), (-1.2 + 0.94), (-2.5 + 0.94)

(Xd - Md) = - 1.46, 0.64, 2.64, - 0.26, - 1.56

(Xd - Md)^2 = (-1.46)^2 + 0.64^2 + 2.64^2 + (-0.26)^2 + (-1.56)^2

Σ(Xd - Md)^2 = (2.1316 + 0.4096 + 6.9696 + 0.0676 + 2.4336) = 12.012

Standard deviation = √[Σ(Xd - Md)^2 / (n-1)]

Standard deviation= √12.012 / 4

Standard deviation = 1.7329

Standard deviation= 1.73

Answer:

Your answer is 164°

Complementary,,, so (180-N)

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I need that urgently.

Answer:

1) $2.45

2) $(0.25y + 0.1z)

Step-by-step explanation:

dimes are 0.10 in value, quarters are 0.25

1) How much money in dollars does she have if she has 12 dimes and 5 quarters? 12(0.1) + 5(0.25) = 1.2 + 1.25 = $2.45

2) How much money in dollars does she have if she has z dimes and y quarters?

z(0.10) + y(0.25)= 0.25y + 0.1z

I rearranged it because we put variables in alphabetical order.

LMK if you have questions.

a) The total value of 12 dimes and 5 quarters is  $ 2.45

b) The total value of x dimes and y quarters is  0.10x + 0.25y

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

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

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the value of 1 dime = 10 cents

                                      = $ 0.10

Let the value of 1 quarter = 25 cents

                                          = $ 0.25

Now the equation will be

a)

The value of 12 dimes = 12 x value of 1 dime

                                     = 12 x 0.1

                                     = $ 1.2

The value of 5 quarters = 5 x value of 1 quarter

                                       = 5 x 0.25

                                       = $ 1.25

So , the value of 12 dimes and 5 quarters is =
value of 12 dimes + value of 5 quarters

The value of 12 dimes and 5 quarters is = $ 1.2 + $ 1.25

                                                                   = $ 2.45

b)

The equation will be

The value of x dimes = 0.10x

The value of y quarters = 0.25y

So , the value of x dimes and y quarters is =
value of x dimes + value of y quarters

The value of x dimes and y quarters is = 0.10x + 0.25y

Hence , a) The total value of 12 dimes and 5 quarters is $ 2.45

b) The total value of x dimes and y quarters is 0.10x + 0.25y

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Answer:

Hi there!

Your answer is:

14x +126>= 280 for the equation

and

He will need to mow 11 more yards for the solution!

Step-by-step explanation:

14x +126 >= 280

14x >= 154

/14

x>= 11

Plug back into the equation to check your work!

14(11)+126 >= 280

280>= 280

I hope this helps!

1. The equation in​ a slope-intercept form describing the relationship is y = -4000x + 27000.

2. The daily sales of Fun Noodles at the price of $5.50 is  5000.

The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $5, sales will reach 7000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 3000 Fun Noodles per day.

The relationship between sales​ price, x, and the number of Fun Noodles​ sold, ​ y, is linear. The ordered pair are (5, 7000) and (6, 3000).

The equation in slope intercept form describing the relationship is as follows:

1. y = mx + b

where

Therefore,

m = 3000 - 7000 / 6 - 5

m = - 4000

Let's find the y-intercept using (6, 3000)

3000 = -4000(6) + b

3000 + 24000 = b

27000 = b

Hence, the equation is y = -4000x + 27000

2. The daily sales of Fun Noodles at the price of $5.50 can be computed as follows;

y = -4000(5.5) + 27000

y = -22000 + 27000

y = 5000

Therefore, the daily sales is 5000.

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