Question

Write and solve an inequality for each exercise. Then interpret the solution in the context of the problem: A number increased by 15 is greater than 124. Find the smallest integer that satisfies this inequality.

291

likes
1454 views

Answer to a math question Write and solve an inequality for each exercise. Then interpret the solution in the context of the problem: A number increased by 15 is greater than 124. Find the smallest integer that satisfies this inequality.

Expert avatar
Corbin
4.6
107 Answers
The inequality given is:

x + 15 > 124

Step 1: Subtract 15 from both sides:

x + 15 - 15 > 124 - 15

Step 2: Simplify the inequality:

x > 109

Step 3: The smallest integer greater than 109 is 110, so:

Answer: x = 110

Frequently asked questions (FAQs)
What are the equations for the asymptotes of a hyperbola with center (h, k) and transverse axis length 2a?
+
What is the dot product of two orthogonal vectors?
+
Question: What are the x-values where the graph of y = -2x^2 + 5x + 3 intersects the x-axis?
+
New questions in Mathematics
(x^2+3x)/(x^2-9)=
1 plus 1
The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?
If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)
show step by step simplification: (¬𝑑∨((¬b∧c)∨(b∧¬c)))∧((𝑎 ∧ 𝑏) ∨ (¬𝑎 ∧ ¬𝑏))∧(¬𝑐∨((¬𝑑∧𝑎)∨(𝑑∧¬𝑎)))
In a order to compare the means of two populations, independent random samples of 410 observations are selected from each population, with Sample 1 the results found in the table to the right. Complete parts a through e below. X1 = 5,319 S1= 143 a. Use a 95% confidence interval to estimate the difference between the population means (H - H2) Interpret the contidence interval. The contidence interval IS (Round to one decimal place as needed.) Sample 2 X2 = 5,285 S2 = 198 Aa. Use a 95% confidence interval to estimate the difference between the population means (A1 - M2) Interpret the contidence interval. The contidence interval Is (Round to one decimal place as needed.) b. Test the null hypothesis Ho versus alternative hypothesis Ha (H What is the test statistic? H2) + Give the significance level of the test, and interpret the result. Use a = 0.05. Z=
A stunt man jumps horizontally from a building to the roof of a garage that is 2 meters lower. How fast does he need to be to land on the roof of the said garage that is 3 meters away from the building?
3 A tree is planted when it is 1.2 m tall. Every year its growth is 3/8 of its previous year's height. Find how tall the tree will grow.
P(Z<z)=0.1003
Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24
7.57 Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see. H0 :x ̄<10hours HA : x ̄ > 13.5 hours
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
-5x=115
How many cards do you expect to pull from a poker deck until you get an ACE?
If sin A=0.3 and cos A=0.6, determine the value of tan A.
A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?
write in set builder notation { 1,3,9,27,81,243,...}
A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.