Solve for c.

3abc + b = 5


c = (5 - b)/(3ab)
c = -5/3ab
c = 2 - ab\
how does one work this out

Final answer:

The expression that is equivalent to 4t + 3t is 7t, as you combine the like terms by adding their coefficients.

Explanation:

The student has asked which expression is equivalent to 4t + 3t. This is a problem in basic algebra and involves combining like terms. To find the equivalent expression, we simply add the coefficients (numbers in front of the variable 't') together. Since both terms have the same variable 't', we combine 4 and 3 to get 7. Therefore, the equivalent expression to 4t + 3t is 7t.

Answer:

Step-by-step explanation:

Value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].

" Equation is defined as the algebraic expression which represents the relation between the variables and number using sign of equality."

According to the question,

Given equation,

[tex]4(2x+14)=0[/tex]

Simplify the given equation to get the value of [tex]x[/tex],

[tex]4 \neq 0[/tex]

Therefore,

[tex]2x+14 = 0\\\\\implies 2x = -14\\\\\implies x = -7[/tex]

Hence, value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].

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Answer:yeah what they said

Step-by-step explanation:

The starting amount would be the 750, because it doesn't have a variable assigned to it.

And, Change per week is 30 since it is being multiplied by the number of weeks.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let y represent the total amount of money in the account (in dollars).

And, Let x represent the number of weeks Mary has been adding money.

Here, Suppose that x and y are related by the equation;

⇒ y = 750 + 30x

Now, Clearly for the starting amount money in the account we can put x = 0 in above equation;

⇒ y = 750 + 30 × 0

⇒ y = $750

And, The change per week in the amount of the account is 30 which is being multiplied by the number of weeks.

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The correct summary of the data is that about 160 people weigh more than 165 pounds, based on the empirical rule for a normal distribution.

To summarize the data of the measured weights of 1,000 men in a certain village, which follows a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds, we can use the empirical rule (68-95-99.7). According to this rule, approximately 68% of data values fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.

In this context, since 165 pounds is one standard deviation above the mean (150 + 15 = 165), it means approximately 16% of men (100% - 84%) will weigh more than 165 pounds, which translates to about 160 people (0.16 * 1000).

Therefore, the correct summarization is: About 160 people weigh more than 165 pounds.

The result is 0.939 lb, so the correct answer is option B.

1 gram = 2.20 × [tex]10^{-3}[/tex] lb

We can set up a multiplication to convert grams to pounds:

427.06 g × 2.20 × [tex]10^{-3}[/tex]lb/g

Carrying out the multiplication:

427.06 × 2.20 × [tex]10^{-3}[/tex]

 = 0.939 lb

Thus, the amount in pounds is 0.939 lb.

The correct answer is:

B. 0.939 lb

The width of the rectangle, with an area of 96 square feet and a width-to-length ratio of 2:3, is 8 feet.

The student asked to find the width of a rectangle given that the area of the rectangle is 96 square feet and the ratio of the width to the length is 2:3.

To solve this, first let's assign variables to the dimensions of the rectangle. Let the width be 2x feet and the length be 3x feet, where x is a common multiple. Since the area of a rectangle is the product of its width and length, we can set up an equation:
(2x) × (3x) = 96

Solving for x gives:

6x^2 = 96

x^2 = 16

x = 4 feet

Now that we have the value of x, we can find the width by multiplying x by 2:

Width = 2x = 2(4 feet) = 8 feet

Therefore, the width of the rectangle is 8 feet.

The rule for g(f(x)) is 8x + 14, and the rule for f(g(x)) is 8x + 7.

The rule for g(f(x)) is that we first substitute f(x) into g(x), meaning we replace x in the g(x) rule with the expression for f(x). Using the given functions, g(f(x)) = g(4x + 7) = 2(4x + 7) = 8x + 14.

Similarly, the rule for f(g(x)) is that we first substitute g(x) into f(x), meaning we replace x in the f(x) rule with the expression for g(x). Using the given functions, f(g(x)) = f(2x) = 4(2x) + 7 = 8x + 7.

To prove a triangle is a right triangle, use the Pythagorean theorem: a² + b² = c².

To prove that a triangle is a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This is expressed as: a² + b² = c², where c is the hypotenuse, and a and b are the other two sides.

Here are the steps to prove that a triangle is a right triangle:

If the equation is correct, the triangle is a right triangle.

Additionally, you can verify it using a compass and ruler to draw precise triangles and measure the angles, although measurement errors are common. Understanding the Pythagorean theorem is crucial for these calculations.

Answer:

I just took the test, the answer is

B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008

The only option that is true about water sense toilets is that; B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008

The WaterSense label is a label that is mostly used on toilets that are certified by an independent body to satisfy well established high performance and efficiency standards.

Now, only water-saving toilets that complete the certification process can have the WaterSense label. From research it was discovered that WaterSense toilets saved customers 9.3 billion gallons of water in 2008 and so option B is correct.

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The number 0.00004 is expressed in standard form or scientific notation as [tex]4.0 \times 10^{-5}[/tex], moving the decimal 5 places to the right because the number is smaller than 1.

To express the number 0.00004 in standard form or scientific notation, we need to rewrite it so that it has one non-zero digit to the left of the decimal point. Move the decimal place to the right until you have that single non-zero digit. Count the number of places you've moved it; this number will determine the exponent of 10 in the standard form.

In this case, we move the decimal point:

Since we moved the decimal 5 places to the right, the power of 10 will be negative because the original number is less than 1.

Therefore, the standard form or scientific notation of 0.00004 is: 4 × 10⁻⁵.

Answer:

subratct 2 from both sides

Step-by-step explanation:

i took this class

To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid.

To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid. Here is a step-by-step process:

Therefore, the laboratory technician can combine a batch of pure acid with another batch of 20% acid to obtain a 40-liter batch of a 40% acid solution.

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