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!!!
HELP PLEASE!!
Select the equation of the line parallel to y=-4x-6 the
equation and that passes through the point (1, 2).
O y=-4x+6
O y=4x-4
O y=-4x-4
O y = 4x+6
Answer:
[tex]y=-4x+6[/tex]
Step-by-step explanation:
If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.
[tex]2=-4(1)+6[/tex]
[tex]2=-4+6[/tex]
[tex]2=2[/tex]
If it works you have your answer!
The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is
y = -4x + 6.
The slope of y = -4x - 6 is -4.
passing through the point (1, 2)
the new line is parallel to the original line, it will have the same slope (-4).
Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.
substituting values,
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6
learn more about slope here
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The ratios 5 : 3 and 10: 6 ARE equivalent ratios. Which ratio is NOT equivalent to BOTH original ratios?
A. 15: 12
B. 30: 18
C. 15: 9
D. 20: 12
Group of answer choices
C
A
B
D
MATH
7TH GRADE
Answer:
A
Step-by-step explanation:
30:18 /6 =5/3
15:9 /3 =5/3
20:12 /2 =5/3
Answer:
free points
Step-by-step explanation:
thanks sis
Arturo is driving to a hotel. After 3 hours of driving, he is 135 miles from home. After 5 hours of driving, he is 225 miles
from home. Arturo graphs his distance with respect to time as a line. What is the slope of the line?
Respect to time as a line. What is the slope of line?
Please help !
Answer:
it is C
Step-by-step explanation:
i took all the test and got a hundred
if we graph his distance with respect to time as a line then slope of line is 45.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Arturo after 3 hours of driving is 135 miles from home. After 5 hours of driving, he is 225 miles
from home
Let the two points are (3, 135) and (5,225)
m=225-135/5-3
=90/2
=45
Hence, if we graph his distance with respect to time as a line then slope of line is 45.
To learn more on slope of line click:
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Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________
Answer:
1. π, 4, 8
2. 5, π + 2, 173
3. -2, 1.7, 2
4. 2.5, 5, 32
5. 3.7, π + 1, 13
6. π - 2, 52, 54
Step-by-step explanation:
π = 3.1415
please answer. i would rlly like it
Answer:
im pretty sure it isnt a function (not sure, i think)
Step-by-step explanation:
Answer:
i might be wrong but i think it's a relation that is not function
Step-by-step explanation:
sorry if im wrong....
Which of these three numbers is the largest?
4.187 or 4.2 or 4.099
Answer:
4.2
Step-by-step explanation:
There are the most tenths in the number
Answer:
4.2
Step-by-step explanation:
‼️NEED HELP ASAP‼️
find f'(x) for f(x) = ln(x^4 + e^2x)
Answer:
We can do this with u substitution
[tex]f(x) = ln(x^4+e^2^x)\\u = x^4+e^2^x\\f(x) = ln(u)\\f'(x) = \frac{u'}{u} \\u' = 4x^3 + 2e^2^x \\f'(x) = \frac{4x^3 + 2e^2^x}{x^4+e^2^x}[/tex]
we can't simplify further
6 inches for every horizontal change of 12 inches
is 10/2 an irrational number?
Answer:
yes it is because it is expressed in the form of a p/q
Step-by-step explanation:
If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator. Examples: 10/2, 30/3, 100/5.
so yes 10/2 is a rational number
oh and i mean yes its rational no its not irrational :)
No, it is not an irrational number.
Irrational numbers are those who cannot be turned into a fraction.
10/2 is a fraction. Therefore, it is a Rational number.
[tex]Edit:\;Also,\;if\;you\;were\;to\;make\;it\;a\;whole\;number\;then\;it\;would\;be\:5.[/tex] [tex]Which\;can\:be\;turned\;into\;5/1.[/tex]
To do so, divide the numerator (Top number) by the denominator (Bottom number).
Solve the following equation for p. What POSITIVE value of p? 10 - 43 - |7p + 12|
Answer:
Subtract
43
from
10
.
−
33
−
|
7
p
+
12
|
Step-by-step explanation:
The positive value of p from the equation is; p = 3
This is about absolute values.
We are given the equation;10 = 43 - |7p + 12|
Let us simplify by subtracting 43 from both sides to leave the right hand side as an absolute value form.10 - 43 = - |7p + 12|
-33 = - |7p + 12|
divide both sides by -1 to get;
33 = |7p + 12|
The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.
Answer:
$8.31
Step-by-step explanation:
you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.
Evaluate the expression for x=5, y=-3 and z=7
x + y + z
Answer:
5
Step-by-step explanation:
(Refer to image)
Replace the numbers with the variables and solve using order of operations
Answer:
9
Step-by-step explanation:
convert all the value for x,y,z
5+-3+7
5+-3= 2+7 = 9
I used to decreased the negative 3 to 5 because of the sign negative attached beside the 3. but why the answer becomes to be positive 2? because the positive number which is 5 is greater than the negative 3 in the given.
I hope it helped you.
my sister asked if you guys can solve this out for her. thanks
Answer:
Part 1: 10, Part 2: 6
Step-by-step explanation:
How many gallons of water are in a 2 gallon pitcher that is 3/4 full?
Answer:
1.5 gallons
Step-by-step explanation:
2 x 0.75
1.5 gallons
Brainliest appreciated!
Answer:
1.5 gallons
Step-by-step explanation:
1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.
Someone help me please❤️
Answer:
inputs: outputs:
-2 -7
-1 -4
0 -1
1 2
Step-by-step explanation:
Input=domain and x so, plug domains in for x in the equation to get each output.
input equation output
-2 y=3(-2)-1 -7
-1 y=3(-1)-1 -4
0 y=3(0)-1 -1
1 y=3(1)-1 2
evaluate the expression when a=32 and b=7 a/4 +b
From 80 pencils to 152 pencils
Answer:
72
Step-by-step explanation:
152
- 80
72
Bring down the 2. Then make the 5 a 15 from taking away from the 1 making that a zero. Then Subtract 8 from 15 that makes 7. So it is 72.
:) I Hope you enjoy:)Is the following relation a function?
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
please..
Answer:
53 1/5
Step-by-step explanation:
Make 5 7/10 and 9 1/3 into a fraction which is 57/10 and 28/3
Then multiply the numerators together and the denominators which gives you 1596/30
Simplify by dividing it by 6 getting 266/5
Change to a mixed number 53 1/5
A line passes through the point (8,-7) and has a slope of -1/3 write an equation in slope intercept form for this line
Answer:
y= -1/3x-13/3
Step-by-step explanation:
(Refer to picture)
Use the general point-slope formula and plug in y1 and x1, then simplify
(I hope my handwriting isn't too bad, is so, I'll clarify any numbers you can't read.)
What is the value of n in the equation -1/2 (2n + 4) + 6 = -9 + 4(2n + 1)?
n =
Answer:
n=1
Step-by-step explanation:
Answer:
n=1
Step-by-step explanation:
Select the correct answer. The equation of a line in the point-slope form is show below. y - 9 = ls 1/5(x - 2) What is the slope of this line?
Answer Choices:
A. 2
B. 1/9
C. 5
D. 1/5
Answer:1/5
Step-by-step explanation:
Determine the slope of the line that passes through the points M(-3, 5) and N(1, 8). Represent the slope in decimal form.
Answer:
The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form is 0.75
Step-by-step explanation:
The given points are M(-3, 5) and N(1, 8)
The formula for finding the slope, m, given the coordinates of two points on the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where, (x₁, y₁) = (-3, 5), and (x₂, y₂) = (1, 8), we have;
[tex]Slope, \, m =\dfrac{8-5}{1-(-3)} = \dfrac{3}{4} = 0.75[/tex]
The slope, m = 0.75
The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form = 0.75.
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$ sign, 7, point, 50 delivery fee and 14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60sign, 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario?
Answer: 7:50 + 14P<60
The slices I don’t know so find out yourself
Step-by-step explanation: I got it wrong and saw the right answer
y= 2x² + 36x + 170
(Find the vertex, show steps)
Plz help. And plz show work.
During the bake sale, Paayal and Parvathy sold 200 cookies. Paayal sold her cookies for 5 cents each, while Parvathy sold her cookies for 10 cents each. The total amount of money customers paid for cookies was $11.00. How many cookies did Paayal sell? How many cookies did Parvathy sell?
Answer:
Paayal sold 180 cookies and Parvathy sold 20 cookies.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=200 (1)
0.05x+0.10y=11 (2), where:
x is the amount of cookies that Paayal sold and y is the amount of cookies that Parvathy sold.
First, you can solve for x in (1):
x=200-y (3)
Now, you can replace (3) in (2):
0.05(200-y)+0.10y=11
10-0.05y+0.10y=11
0.05y=1
y=1/0.05
y=20
Finally, you can replace the value of y in (3) to find x:
x=200-y
x=200-20
x=180
According to this, the answer is that Paayal sold 180 cookies and Parvathy sold 20 cookies.
Two pounds of raw materials are needed to produce one product. The desired ending balance of raw materials is 10% of the of the next month's production needs. (Refer to your answer in Activity Sheet 05). The beginning inventory of raw materials is 4,000 pounds and raw material cost per unit is P 0.50/per pound.
Answer:
Purchases= production + desired ending inventory - beginning inventory
Step-by-step explanation:
Giving the following information:
Two pounds of raw materials are needed to produce one product.
The desired ending balance of raw materials is 10% of the next month's production needs.
The beginning inventory of raw materials is 4,000 pounds.
The raw material cost per unit is $0.50 per pound.
To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.
To calculate the purchase required, we need to use the following formula:
Purchases= production + desired ending inventory - beginning inventory
For example:
Production:
January= 5,000 units
February= 4,500 units
Direct material purchases January:
Production= 5,000*2= 10,000
Desired ending inventory= (4,500*2)*0.1= 900
Beginning inventory= (4,000)
Total purchase in pounds= 6,900
Total direct material cost= 6,900*0.5= $3,450
Given hexagon jklmno ~ hexagon pqrstu, Lk=15, JO=23, and QR=2, find the scale factor from jklmno to pqrstu. Give your answer in decimal form rounded to the nearest hundredths
Answer:
ghjkghhjkghjkghjk
Step-by-step explanation:
Lisa wants to glue decorative paper onto the block. What is the total surface area that Lisa would need to cover?