Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?
Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
[tex]10 + 5x=y[/tex]
Now, it is given that his goal is minimum of 50 countries.
So,
[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Good Luck!!!
What is the value of 120?
Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.
Answer:
The first number: 14
The second number: 16
The third number: 18
Step-by-step explanation:
Equations
Let's assume:
x=the first even number.
x+2=the second even number
x+4=the third even number
The sum of all three is: x + x + 2 + x + 4
The condition states the sum decreased by 34 equals the first number:
x + x + 2 + x + 4 - 34 = x
Moving all the variables to the left side and the numbers to the right side:
x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4
Simplifying:
2x = 28
Solving:
x = 28 / 2 = 14
The first number: 14
The second number: 16
The third number: 18
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
Answer:
y = -1/4x+2
Step-by-step explanation:
Answer:
y = -1/4x + 2
Step-by-step explanation:
We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.
Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...
y = -1/4x + 2
Hope this helps!
What is the equation of the line that passes through the point (2,-5) and is
perpendicular to y = 1/4x - 5? *
O y = -4x + 3
O y = 1/4x + 11/2
O y = -4x - 13
O y = -4X - 3
Answer:
y=-4x+3
if you bring (2,-5) in other three lines.
you will know that it will be unreasonable that
-5=10
-5=-21
-5=-11
Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is
2x – y = -8. Fully reduce your answer.
Answer:
-1/2
Step-by-step explanation:
2x-y=-8 --> y=2x+8 (slope: 2)
to be perpendicular, the product of two slopes should be -1
thus, the slope of a line perpendicular to this one is -1/2
A. 43 x + 98 = 11
B. 43x + 11 = 98
C. 11x+ 98 = 43
D. 11x+ 43 = 98
15 points! :)
find the value of x for each figure. each figure is in the centimeters(cm). not to scale.
answer this, don't answer if you don't know
Answer:
10) 1/7
11) 3/4
12) 1/3
13) 1/2
14) 1/2
15) 7/9
Find the missing terms in the sequence:
18, -72, 288,
Answer:
-1,152Step-by-step explanation:
18 · (-4) = -72
-72 · (-4) = 288
288 · (-4) = -1,152
Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...
Answer:
djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont
even number less than 12
Answer:
2,4,6,8,10
Step-by-step explanation:
they are even numbers
Answer: 2, 4, 6, 8, 10
Step-by-step explanation:
any of those are even numbers that are less than 12
Convert to Standard Form
13-6x-=y
Answer:
6x+y=13
Step-by-step explanation:
if y= 2x - 3, find the value of y when x=2
Answer:
y=1
Step-by-step explanation:
Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.
What is x (in degrees)
Answer: 4
Step-by-step explanation:
By the exterior angle theorem,
[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]
would u expect the product of 43.5 and 1.0001 to be greater than or less that 1 or equal to 43.5
Answer:
Greater
Step-by-step explanation:
since it has a 0.0001 and not just 1 its greater 43.5
Write the equation of the line passing through the points -2,3 and -1,-2 in slope intercept and point slope form
Answer:
y=-5x-7
Step-by-step explanation:
y=-5x-7
Hope you are having a good day!
Answer:
-26
Step-by-step explanation:
-23 + (-1-2) = -26
8x-13+4+1=90 helppppppp
Answer:
x = 49/4
Step-by-step explanation:
how to solve this it says solve 6!
Answer:
720
Step-by-step explanation:
6*5*4*3*2*1=720
The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.
Answer
initially t=0 => c2sin(0)+c1cos(0) => y=0+c1 => y=0+5 => y=5
The weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching
Step-by-step explanation:
c1=5
Evaluate the expression.62−4÷2 62−4÷2
Answer: 8118/131 decimal form -65
Step-by-step explanation: this part right here 2 62= 0.032
so 62-4/0.032-4/2= -65
sorry it took so long my pc is very laggy btw i was letting the dogs out my apologies
Please can anyone help me
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5
Answer:
17 (I think)
Step-by-step explanation:
substitue -3 in for x so 4(-3) + y = 5
-12+ y =5
+12 +12
y=17
the amount of money in a bank account
Answer:
I currently have $-68
Step-by-step explanation:
Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10.
The image of the division problem is missing, so i have attached it.
Answer:
D: He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
From the image, we can see from the initial values, they are trying to divide 0.52 by 754.
In Mathematics, it means that 0.52 is the divisor while 754 is the dividend.
Now, the next step sees 0.52 changed to 52 while 754 changes to 7540.
Now, 0.52 to 52 means 0.52 was multiplied by 100.
This means that 754 should also be multiplied by 100 to give 75400 in order to retain the original answer that would have been gotten if we had divided 0.52 by 754.
Yet they used 7540.
Thus,the error is that he multiplied the divisor by 100 while he multiplied the dividend by 10.
Answer :
D - He multiplied the divisor by 100 and the dividend by 10.
Convert 400 U.S. dollars to pesos if 1 peso is 1.208 U.S, dollars
Answer:
483.24
Step-by-step explanation:
You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, C is the
number of chores you do, and d is the number of dollars you earn.
The relationship between these two variables can be expressed by the following equation:
d=3c
Identify the dependent and independent variables.
Dependent variable
Independent variable
The number of chores you do
The number of dollars you earn
Answer:
Independent- c (number of chores)
Dependent- d (number of dollars)
Step-by-step explanation:
0.52 X 2.1 =
Help i don’t understand
Answer:
1.092
Step-by-step explanation:
Find the minimum value of
C=x+3y
Answer:
DNE
Step-by-step explanation:
If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.
If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.
We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist
Hello there,
Use the first constraint to isolate y :
[tex]9x+2y\geq 35[/tex]
[tex]y \geq \frac{35-9x}{2}[/tex]
Now use the second one to isolate x :
[tex]x+3y\geq 14[/tex]
[tex]x\geq 14-3y[/tex]
You know that [tex]x\geq 0[/tex] and [tex]y\geq 0[/tex]
So what's the minimum value of x it's 0 ! Same for y !
So substitute x by 0 and y by 0
[tex]y\geq \frac{35}{2} =17.5[/tex]
[tex]x\geq 14[/tex]
So the minimum value of C is :
[tex]C=14+3*17.5[/tex]
[tex]\boxed{C=66.5}[/tex]
Hope it helps !
Photon
713.49 written in standard form
Answer:
7.1349 * 102
Step-by-step explanation:
Hope this helps. Have a great day!
Plz help. And plz show work.
A dog kennel charges $20 per night to board your dog. You can also have a dog treat delivered to your dog for $5. The equation 20x+5y=100 models the situation of possible combinations of nights at the kennel (x) and dog treats (y) that you can buy for $100.
Describe what the intercepts mean in context of the story.
Answer:
wow they are so tricky about what the math means.. huh :D why ask abstract math questions when it's supposed to be real hmmmm welll anyway
Step-by-step explanation:
so the y intercept or 0=y means you get your dog no treats... maybe you hate your dog... or he was bad in some way... no treats for you dog !! >:/
The X=0 intercept mean you love your dog and don't take him to the dog kennel but keep him at home. And take care of him yourself.. but you could still get him treats :) Probably for less then 5 dollars too.. I saw some at Costco for a lot less.. :)