Solve the following equation for y. 3y - 7(y + 5) = y - 35 Also Show your work Describe and show each step taken.
A. y = 0

B. y = 1

C. y = 2

D. All real values for y are correct solutions.

Answer:

The angle-angle-side postulate. A.A.S

Step-by-step explanation:

Answer:

Step-by-step explanation:

Expand: 36e^2+12e-48=e

Subtract e from both sides 36e^2+11e-48=0

Using the quadratic formula, e=(-11+-sqrt7033)/72

Answer:

provide context

Step-by-step explanation:

Considering the definition of an inequality, the maximum number of people who can go to the amusement park is 4.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "x" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is

10.50 + 23.50x ≤ 110

Solving:

23.50x ≤ 110 - 10.50

23.50x ≤ 99.50

x ≤ 99.50÷ 23.50

x ≤ 4.23

Finally, the maximum number of people  is 4.

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Option D is the right choice.

It is discovered through the use of conditional probability that there is a 0.4 = 40% chance that it will stop working in less than 2 years.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Conditional Probability:
P (B / A) = P (A∩B) / P (A)

Here:

P(B / A) is the likelihood that event B will occur in the absence of event A.

P (A∩B) is the likelihood that both A and B will occur.

P(A) denotes the likelihood that A will occur.

As per the question:

Event A: Delivery was harmed.

Event B: Fails to function after less than two years.

P (A) = 0.1 due to the probability of being damaged during delivery being 0.1.

P (A∩B) = 0.04 because there is a 0.04 likelihood that it will be damaged during the delivery and stop working.

The likelihood under the condition is:

P (B / A) = P (A∩B) / P (A) = 0.04 / 0.1 = 0.4

0.4 = 40% chance that it will stop working in under two years.

Therefore, option D is correct.

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The proportional of price of the drink to the number of ounces is 0.2.

In the given question we have to find the proportional of price of the drink  to the number of ounces.

As given from the table that;

Drink Size (oz)     12                16                20

Price (dollars)       2.40            3.20            4.00

If we find the proportional of price of the drink to the number of ounces. Then;

Price of the drink/Number of drink = 2.40/12 = 3.20/16 = 4.00/20

Price of the drink/Number of drink =  0.2       = 0.2        = 0.2

So we can see that the proportional of price of the drink to the number of ounces is 0.2.

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Answer:

Yes it is proportional.

Answer:

h = 289 feet

Step-by-step explanation:

Comment

You need two givens to use in the formula to solve for the third.

Formula

v = sqrt(2*g*h)

Givens

V = 136 ft/s

g = 32 ft/s^2

h = ?

Solution

v = sqrt(2*g*h)                  Put the givens into the formula.

136 = sqrt(2* 32 * h)         Square both sides

136^2 = sqrt(2*32*h)^2   Expand

18496 = 64* h                  Divide by 64

18496/64 = 64*h/64  

289 feet = h

So the object must fall 289 feet before it reaches 136 m/s

Answer:

-2

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

distribute

-7x-14-x=2

-8x-14=2

    +14. +14

-8x=16

/-8. /-8

x=-2

Hopes this helps please mark brainliest

Answer:

x = 4, 2

Step-by-step explanation:

The numeric values for the population function are given as follows:

To obtain the numeric value of a function or of an expression, each instance of the input variable in the function or in the expression is replaced by the value at which we want to find the numeric value.

The function giving the population after t years is defined as follows:

[tex]P(t) = \frac{340}{1 + 6e^{-0.45t}}[/tex]

The initial population is the numeric value at t = 0, that is, the lone instance of t is replaced by zero, hence:

[tex]P(0) = \frac{340}{1 + 6e^{-0.45(0)}} = \frac{340}{7} = 49[/tex]

After eight years, the population is given by the numeric value at t = 8, hence:

[tex]P(8) = \frac{340}{1 + 6e^{-0.45(8)}} = 292[/tex]

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Answer:

x = 1, -1

x = 6i, -6i

Answer:

1, -1, 6i, -6i

Step-by-step explanation:

[tex]{ \bold{ \sqrt[3]{V}}} [/tex]

Step-by-step explanation:

[tex]{ \green{ \sf{V = s³}}}[/tex]

Cube on both sides, then

[tex]{ \green{ \sf{s = \sqrt[3]{V}}}} [/tex]

The system of linear equations which is used to find number of 7 -inch plates ,x and 12- inch plates y is

x+y = 15 ---(1)

7x+12y = 144 ---(2)

In the given question we have following informations,

total number of plates in kitchen cabinet = 15

diameter of each plate either 7-inch or 12-inch.

let the number of plates in kitchen cabinet with Diameter 7-inch = x

and number of plates in kitchen cabinet with Diameter 12-inch = y

the diameter of all 15 plates combined = 144 inches

from the above details we can make a system of linear equations for two variables say x and y

x + y = 15 -----(1)

7x + 12y = 144 ---(2)

equation (1), (2) made the required system of equations.

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Answer:

1.5

Step-by-step explanation:

3÷2=1.5

The simplified expression of the radical expression given as 5√7/√35 is 7

From the question, we have the following expression that can be used in our computation:

5√7/√35

The above expression is a fraction and at the same time it is a radical expression

The denominator of the fraction is √35

So, we start by rationalizing the expression by the fraction

This is represented as

5√7/√35 = 5√7/√35 * √35/√35

Evaluate the products of the numerator

So, we have the following representation

5√7/√35 = 5√245/√35 * 1/√35

Evaluate the products of the denominator

So, we have the following representation

5√7/√35 = 5√245/35

Simplify the fraction

This gives

5√7/√35 = √245/7

Simplify the fraction

5√7/√35 = 7√5/7

So, we have

5√7/√35 = 7

Hence, the simplified expression is 7

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Answer:

four tablespoons to make 6 cups of popcorn.

Step-by-step explanation:

1.5 is nine Equals 2.25 x. And then divide both sides by 2.25. That gives you four tablespoons to make 6 cups of popcorn.

Answer:

Step-by-step explanation:

3.4.m+2.4.m.m

4m(3+2m)

Answer:

Step-by-step explanation:

here the alternally exterior angle sum property:

48°+(2x+2)°=180°

⇒2x+2°=180°-48°

⇒2x+2°=132°

⇒2x=130°

⇒x=65°

The dimensions of the rectangle that will allow for the most economical fence to be built is 50 feet and 25 feet in length and width respectively.

Given in the question,

Area = 1250 ft²

The three sides cost $3 per foot, and the fourth side costs $9 per foot.

Let x and y be the length and width of the rectangle.

Because the area is 1250 ft², therefore

xy = 1250, or

y = 1250/x            

Case 1: Three sides are (x,y,x) and the 4-th side is y.

The cost is

C = 3(2x +y) + 9y

  = 6x + 12y

  = 6x + 12(1250/x)

  = 6x + 15000/x

For C to be minimum, C' = 0. That is

6 - 15000/x² = 0

x² = 15000/6

x =  50 ft, y = 1250/50 = 25 ft

C = 6(50) + 15000/(50²) = $600

Case 2: Three sides are (y,x,y) and the 4-th side is x.

The cost is

C = 3(x + 2y) + 9x

   = 12x + 6y

   = 12x + 6(1250/x)

   = 12x + 7500/x

For C to be minimum, C' = 0.

12 - 7500/x² = 0

x² = 7500/12 = 625

x = 25 ft, y = 50ft

C = 12(25) + 7500/25 = $600

Thus, the Dimensions will be 25 feet and 50 feet.

Question:

A fence is to be built to enclose a rectangular area of 1250 square feet. the fence along three sides is to be made of material that costs ​$3 per foot. the material for the fourth side costs ​$9 per foot. find the dimensions of the rectangle that will allow for the most economical fence to be built.

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Answer: 0=1620=162

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!

The number of cells cut into two by the diagonal of the rectangle, found by using Pythagorean theorem, are approximately 51 cells

Pythagorean theorem can be expressed as the square of the hypotenuse side of a right triangle is equal to the sum of the square of the legs of the triangle.

The dimensions of the rectangle = 60 units by 40 units

The dimensions of each grid = 1 unit by 1 unit

The vertices of the rectangle are (0, 0), (60, 0), (60, 40), (0, 40)

The slope of the diagonal is therefore;

m = 40/(60) = 2/3

The equation of the line is; y - 0 = 2/3·(x - 0) = 2/3·x

y = 2/3·x
The number of cells in the diagonal is found using Pythagorean theorem as follows as follows;

Length the diagonal, l = √(60² + 40²) ≈ 72.1

Length of the diagonal of a unit = √(1 + 1) =√2

Number of units in the diagonal, n = 72.1/√(2) ≈ 51 units

The number of cells  cut into two ≈ 51 cells

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1. 3x + 9 = -4.5x + 20 ; This is true for one value of x.

2. 9(x + 3) = 9x + 12 ; This is true for no values of x.

3. 4(2x + 3) = 12 + 8x ; True for any values of x.

Given,

The equations;

1. 3x + 9 = -4.5x + 20

2. 9(x + 3) = 9x + 12

3. 4(2x + 3) = 12 + 8x

We have to find whether each equation is true for all, one or no values of x.

Here,

1. 3x + 9 = -4.5x + 20

Solve for x;

3x + 4.5x = 20 - 9

7.5x = 11

x = 11/7.5

x = 1.47

Then,

This is true for one value of x.

2. 9(x + 3) = 9x + 12

Solve using distributive property;

9x + 27 = 9x + 12

9x - 9x = 12 - 27

0 = -15

This is true for no values of x.

3. 4(2x + 3) = 12 + 8x

Use distributive property and solve;

8x + 12 = 12 + 8x

8x - 8x = 12 - 12

0 = 0

True for any values of x.

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The time that It would take  for the value of the account to reach $2,860 is; 21.6 years

We are told that a person invested $440 in an account growing at a rate allowing the money to double every 8 years. Thus, the account balance can be modeled by the equation;

A = 440(2)^(t/8)

where;

A is final amount

t is in years

We want to find t when A = 2860. Thus;

2860 = 440(2^(t/8))

divide both sides by 440 to get;

6.5 = 2^(t/8)

log(6.5) = (t/8)log(2)

t = 8 * log(6.5)/log(2)

t ≈ 21.604

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The Probability that someone holds b.s. degree if it is known that he or she earns more than $100,000 is 0.75.

Considering the values given in the question,

P(earns more than $100000 without college education) = 0.2

P(earns more than $100000 with a B.S. or higher degree) = 0.6

P(Has a B.S. degree) = 0.5

P(earns more than $100000) = P(earns more than $100000 | without college education) × P(without college education) + P(earns more than $100000 | with a B.S. or higher degree) × P(has a B.S. degree)

= 0.2 × (1 - 0.5) + 0.6 × 0.5

= 0.4

P(at least a B.S. degree | earns more than $100,000) = P(earns more than $100000 | with a B.S. or higher degree) × P(has a B.S. degree) / P(earns more than $100000)

= 0.6 × 0.5 / 0.4

= 0.75

Therefore, If a person's income above $100,000 is known, there is a 0.75  probability that they have at least a b.s. degree.

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The correct selling price of the item has being solved as $20.04 The error that the manager has made is $12.04

Given that there is a markup, the item that is being sold for 12 dollars would be affected by the percentage of the mark up.

This mark up is a 67% markup

This would be solved as

12$ + 67% of 12$

= $12 + 8.04

= $20.04

Hence the correct selling price is $20.04

Next we would have to find the likely error that the manager has made

= $20.04- ​$8

= $12.04

The likely error of the manager is $12.04

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Using the exterior angles theorem, the measures of the named angles are:

m∠PQR = 51°

m∠PRQ = 96°

Based on the exterior angles theorem, the measure of the exterior angle of a triangle has an angle degree that is equal to sum of the interior angles of the triangle.

Therefore, the following equation would be set to find the value of x:

33 + 10x + 1 = 17x - 1

34 + 10x = 17x - 1

Combine like terms

34 + 1 = 17x - 10x

35 = 7x

35/7 = 7x/7

5 = x

x = 5

m∠PQR = 10x + 1 = 10(5) + 1 = 51°

m∠PRQ = 180 - (17x - 1) = 180 - (17(5) - 1) = 96°

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An equation to determine the original price of the lawnmower discounted at 9% to $1,517.74 is B. y = 0.91x.

An equation summarizes a mathematical statement that equates two or more mathematical expressions.

Equations operate with values, numbers, and variables, using the equation symbol (=) and mathematical operands to establish the equality of values.

Discount offered = 9%

Amount paid for a lawnmower = $1,517.74

Original price = x

Discounted price, y = 0.91x

Y = 0.91x

1,517.74 = 0.91x

x = 1,667.85

Thus, the original price of the lawnmower is determined by Equation B.

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