Question:
Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.
Answer:
[tex]Countries \geq 50 + 5y[/tex]
[tex]y \leq 29[/tex]
Step-by-step explanation:
Given
[tex]Countries = 50[/tex] ------ at least
[tex]Yearly =5[/tex]
Required
Represent as an inequality
"at least" means [tex]\geq[/tex]
So the countries he has visited can be represented as thus;
[tex]Countries \geq 50[/tex]
If
1 year = 5 countries
y years would be 5y countries
So, in y years; he'd have visited
[tex]Countries \geq 50 + 5y[/tex]
To determine the value of y.
We have that
[tex]Countries = 195[/tex] in the world
Substitute 195 for Countries
[tex]195 \geq 50 + 5y[/tex]
Collect Like Terms
[tex]195 - 50 \geq 5y[/tex]
[tex]145 \geq 5y[/tex]
Divide through by 5
[tex]145/5 \geq y[/tex]
[tex]29 \geq y[/tex]
Reorder
[tex]y \leq 29[/tex]
This means that; he'll visit all countries in at most 29 years' time
solve the equation 3|3 - 5r|- 3 = 18
Answer:
r = 2
Step-by-step explanation:
3|3 - 5 * 2|- 3 = 18
3|3 - 10| - 3 = 18
3 * 7 - 3 = 18
21 - 3 = 18
18 = 18
(Since there are absolute value signs, the answer to |3 - 5r| will be positive)
Answer:
r=0.8
Step-by-step explanation:
3|3-5r|-3=18
9-15r -3=18
6-15r=18
15r=12
r=0.8
Order these in descending order (greatest to least). 1 is the greatest. 2 is the middle. 3 is the least.
Answer:
3/20 then 0.015 then 0.15%
Step-by-step explanation:
3/20 then 0.015 then 0.15%
3/20 is 0.15
0.15% is .0015
0.015 is 0.015
Once the child in the sample problem reaches the bottom of the hill, she continues sliding along the flat, snow-covered ground until she comes to a stop. If her acceleration during this time is -.392m/s^2 how long does it take her to travel from the bottom of the hill to her stopping point
Sample problem is;
A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.
Answer:
t = 39.54 s
Step-by-step explanation:
We are told that her acceleration is now -0.392 m/s²
Thus; a = -0.392 m/s²
From the sample problem, we have;. Initial velocity = 0 m/s
Final velocity = 15.5 m/s
However, in this question, we want to find the time from the bottom of the hill to her stopping point.
This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s
To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;
v = u + at
making t the subject, we have;
t = (v - u)/a
t = (0 - 15.5)/(-0.392)
t = 39.54 s
Which lines are parallel is m∠1 + m∠2 = 180? Justify your answer.
Step-by-step explanation:
i think the correct answer is j // k by the converse of the same side interior angles theorem
its a geo match to the ? type thing
Se reparten 7/9 de pizza entre 4 niños. ¿Que fracción de la pizza le toca a cada uno?
subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)
Answer:
-3+8i
Step-by-step explanation:
Mr. Logan runs 3.7 miles each day. If he runs the same distance each day, about how many miles will Mr. Logan run in 7 days?
A baker used 8 bags of flour every 9 days. He used
of a bag cach day
L20 nens in 5 seconds What is the rate
Answer:
0.8 repeating or 8/9 bags a day
Step-by-step explanation:
-6x =48
need help urgently
Answer:
x = -8
Step-by-step explanation:
Divide each side by -6 to cancel out the -6 next to x. It should now look like this: x = -8I hope this helps!
[tex]→-6x =48[/tex]
[tex]step \: by \: step \: explanation:[/tex][tex] \implies{- 6x = 48}[/tex]
[tex]\implies \: x = \frac{48}{ - 6 } [/tex]
[tex] \blue{\implies \: x = - 8}[/tex]
If I invest 100$ into a savings account at a 3% interest can I afford my item in 10 years my item is 999.99
Answer:
Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.
Step-by-step explanation:
Which one is the right answer?
Answer:
angle 2 is 35 degrees
angle 3 is 55 degrees
Answer:
(below)
Step-by-step explanation:
since angles 3 + 4 are a right angle (90 degrees) 90 - 35 = 55. so, m of angle 3 = 55 degrees
1 is a right angle. so, m of angle 1 = 90 degrees
if all interior angle of a triangle add up to 180, angle 2 must equal 35
Is this a function? Explain
Answer:
Yes
Step-by-step explanation:
The only reason a graph will not be a function is if it doesn't pass the vertical line test. In other words, if you draw a vertical line at any point, it will never pass through more than 1 point.
In that case, that is true, so it must be a function.
What is the word name for 716,270,408?
Answer:
Seven hundred sixteen million, two hundred seventy thousand, four hundred eight
Step-by-step explanation:
Answer:
seven hundred sixteen million two hundred seventy thousand four hundred and eight
Step-by-step explanation:
hey can someone help cus ive been asking this same question for an hour and everyone who responded didnt give a real answer-
=============================================
Work Shown:
Let's call the "height" to be the "width".
The area of a rectangle is
area = length*width
We're told the width is 8.5 feet
If the length is some unknown variable L, then
area = length*width
area = L*8.5
area = 8.5L
We want the area to be at least 76.5 square feet
This means 8.5L is either equal to 76.5, or larger than it
[tex]\text{ area } \ge 76.5\\\\\\8.5L \ge 76.5\\\\\\\frac{8.5L}{8.5} \ge \frac{76.5}{8.5} \ \ \text{ ... divide both sides by 8.5}\\\\\\L \ge 9\\\\\\[/tex]
This shows the length can be 9 feet or larger.
In other words, the minimum length is 9 feet.
30 is what percent of 125? Please help
Answer:
24%
Good Luck!!!
Answer:4.85
Step-by-step explanation:
Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3
Answer:
the answer is A, x=2
Step-by-step explanation:
Solve for x in the equation x squared minus 4 x minus 9 = 29
Answer:
x=5
Step-by-step explanation:
4x-9=29
4x=29-9
4x=20
x=20/4
x=5
Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.
Answer:
range is -8,10,28
Step-by-step explanation:
9(1)-17=-8
9(3)-17=10
9(5)-17=28
Hope this helps
HELPPP
Given h(x) = 2x + 2, solve for x when h(x) = 4.
Answer:
x = 1
Step-by-step explanation:
2x + 2 = 4
2x = 2
x = 1
banana cheese salad with cheese on top
Step-by-step explanation:
question is notcorrect
Answer:
[tex]x<-5[/tex]
Step-by-step explanation:
[tex]4-x<9[/tex]
Subtract 4 to both sides
[tex]x<-5[/tex]
Hope this helps and pls do mark me brainliest if you can:)
Use the bar model to add these fractions
Answer:
I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60
Which expression is equivalent to Start root80 ?
O ^4start root2end root•√5
0 start root2^4•start root5
0 start root2end root•start root2end root•start root5end root
0 start root2^2end root•start root2^2end root•start root5^2end root
Answer:
I believe your answer is C
Hope this helps!
Answer:
It's B
Step-by-step explanation:
The product of Greg's height and 5 is 90
Answer:
450
Step-by-step explanation:
is the answer
describes the end behavior of the graph.
Answer: B) [tex]+\infty[/tex]
=================================================
Explanation:
As x goes to positive infinity, we're moving forever to the right.
If we have a point on the curve, then the point will move to the right and it will also move upward forever.
So as [tex]x \to \infty[/tex] we have [tex]y \to \infty[/tex]
Because y = f(x), this is the same as saying [tex]f(x) \to \infty[/tex]
The notation [tex]+\infty[/tex] is the same as [tex]\infty[/tex]
In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.
Help mehh please
Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina’s account?
–73
–27
–23
–17
Answer:
The real answer is -17, do the math.
Step-by-step explanation:
28 - 45= -17
28 + 17 = 45
45 - 28 = 17
In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.
Given:
Total score = 24 points
They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.
To find:
The system of equations for the given problem.
Solution:
Let x be the number of touchdowns.
y be the number of field goals.
z be the number of "extra points."
Total score is 24 points. So,
[tex]x+y+z=24[/tex]
They made 2 more touchdowns than field goals.
[tex]x=y+2[/tex]
They made 3 times as many "extra points" as field goals.
[tex]z=3y[/tex]
Therefore, the required system of equation is
[tex]x+y+z=24[/tex]
[tex]x=y+2[/tex]
[tex]z=3y[/tex]
Determine the domain, range and whether each table represents a function.
==========================================================
Explanation:
The domain is the set of all possible x values. The range is the set of all possible y values.
Since we don't have any repeated x values, we have a function. Any given input x leads to exactly one y output value. Visually plotting the points leads to the graph passing the vertical line test, which shows the relation is a function.
Solve the following equations
X + 6 = 25
Answer:
x=19
Step-by-step explanation:
x=25-6
x=19
Answer:
x=19
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
x+6−6=25−6
x=19
5/-8 + 2/3
Evaluate it and in simplest form
Answer:
1/24
Step-by-step explanation:
(-5/8)+2/3
(-15/24)+16/24
1/24