$MathMaster logo$

MathMaster

Home
general
write and solve an equation find a number such that 5 less than the opposite of the number is 3 times the sum of the numbe

Question

Write and solve an equation: Find a number such that 5 less than the opposite of the number is 3 times the sum of the number and -7

207

likes

1033 views

Answer to a math question Write and solve an equation: Find a number such that 5 less than the opposite of the number is 3 times the sum of the number and -7

$Expert avatar$

4.4

120 Answers

1. Write the equation:

-x - 5 = 3(x - 7)

2. Expand the right side:

-x - 5 = 3x - 21

3. Add

x

to both sides:

-5 = 4x - 21

4. Add 21 to both sides:

16 = 4x

5. Divide by 4:

x = 4

Frequently asked questions (FAQs)

What is the period of function f(x) = tan(x)?

+

What is the coefficient a in the quadratic function 𝑦 = ax^2 if the vertex is located at (2,4) and the graph opens downward?

+

What is the sine (in degrees) of an angle that corresponds to a cosine value of 0.5?

+

New questions in Mathematics

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

Y=-x^2-8x-15 X=-7

What is the coefficient of elasticity of the material that must be placed on the heel of the 10 cm high clog, with a base area of 2 cm² so that it deforms only 2 cm when the force on it will be a maximum of 600 N.

3(2+x)-2(2x+6)=20-4x

Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?

How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?

If L (-2, -5) reflected across y = -4. What are the coordinates of L?

Determine the equations of the recipes that pass through the following pairs of points P1 (2;-1) and p2 (4;-1)

Derivative of x squared

Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.

Which of the following is the product of multiplying twenty-seven and twenty-five hundredths by nine and twenty-seven hundredths?

Suppose 56% of politicians are lawyers if a random sample of size 564 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportions buy more than 4% round your answer to four decimal places

The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers

A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.

If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.

What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.

A circular window has a rubber molding around the edge. If the window has a radius of 250 mm, how long is the piece of molding that is required ? (To the nearest mm)

nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north

7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?