Jackson wants to attend a 2-year technical college that costs $7,200 per year. His parents plan to contribute 50% of his tuition each year. Jackson wants to save money while working at his summer job for the next 2 years. How much will he need to save each summer in order to have enough money for his first year's tuition?
Answer:
$3600Step-by-step explanation:
Given
Collège cost=$7,200
Collège cost for 2 years= $7,200x2=$14400
50% of the cost cost for 2 years= $7,200
So for the remaining $7,200 Jackson will need to sort it himself for the next two years
So that per year he must save 7200/2= $3600
Is the sequence Arithmetic: 37, 31, 25, 19
Answer:
Yes, it is an Arithmetic Sequence
Step-by-step explanation:
[tex]31 - 37 = - 6 \\ \\ 25 - 31 = - 6 \\ \\ 19 - 25 = - 6 \\ [/tex]
Since the difference between any two consecutive terms is same (- 6). Hence, 37, 31, 25, 19 is an Arithmetic sequence.
Yes, 37, 31, 25, 19 is an Arithmetic sequence.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
(for all positive integer values of n)
thus, the common difference is T_{n+1} - T_n
for all positive integer values of n
Given sequence; 37, 31, 25, 19
We can see that the difference between the terms are equal;
31 - 37 = - 6
25 - 31 = - 6
19 - 25 = - 6
Since the difference between any two consecutive terms is same.
Hence, 37, 31, 25, 19 is an Arithmetic sequence.
Learn more about arithmetic sequence here:
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The gallons of gas varies directly to number hours driving a car. Dylan drove 3 hours on 15 gallons of gas. If he drove for 35 hours, how many gallons of gas is that?
Answer:
I am unable to solve this problem Sorry
Step-by-step explanation:
Answer:
About 30
Step-by-step explanation:
I Multiply 3 to 35 then subtracted 15
Write the following sentence in if-then form
“ an acute angle has a measure less than 90”
Answer:
If the angle is less than 90 degrees, it is an acute angle.
Step-by-step explanation:
Help plz okays thanks
A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write 2 patterns that could represent the cost of 1,2,3,4,and5 hats and scarves list the first 5 terms of each pattern then write the cost of 6 hats and scarves using the patterns you wrote
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question :
A shop sells matching hats and scarves. The scarves cost 1.5 times as much as the hats. Write 2 patterns that could represent the cost of 1,2,3,4,and5 hats and scarves list the first 5 terms of each pattern then write the cost of 6 hats and scarves using the patterns you wrote
Let cost of hats = h
Cost of scarves (s) = 1.5h
Hence of hat = $4 ; Scarve = 1.5 * 4 = 6
___________1__2___3___4___5
Cost of hat__ 4__8___12__16__20
Scarve cost__6__12__18__24__30
cost price * quantity sold
Cost of hat = 6 * $4 = $24
Cost of 6 Scarve = 6 * $6 = $36
NEED HELP FINDING X ASAP
-16 I think I used an online algebra calculator want the link?
Place the numbers from 1 to 5
in the circles. Use each
number once only The sum
must be the same in both
directions!
Answer:
2 top left 5 middle 3top right then 4 and 1 going down
Please help I’ll give brainiest!!
Answer:
m(x)=-1/5x+2.5
Answer:
I believe it is the second choice, m(x)= 5x-12.5 since the points given and this line overlap which therefore indicates a relationship. Also they have the same y intercept.
Hello, can someone answer this please?
What is 8,187 divided by 24 (not resulting in a decimal number)?
Answer:
8,187 divided by 24 is 341.125
Step-by-step explanation:
i hope this helps!
Answer:
The answer is 341.125.
But, if you want it without a decimal, you need to round.
You round up if the first number right of the decimal is over 5 or 5, and down if the first number to the right of the decimal is under 5.
Since the first number to the right of the decimal is 1, it is under 5.
So we round down.
So it would be 341.
The answer without a decimal is 341.
Hope this helps!
Find the value of x.
Answer:
....................................???
.....................................???
Answer:
x = 98
Step-by-step explanation:
180 - 122 = (gives the interior angle)
= 58
24 + 58 + ______ = 180
= 98
SOLVE FAST FOR BRAINILEST
Write an equation using the following steps then solve it
- use the number m
- mutliply it by 2
- add 1
- divide the answer by 3
- then add 2
The final answer should be equal to the number (m)
I need the equation and the equation solved please
Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain
Answer:
My age is 38 years old
My son is 11 years old
Step-by-step explanation:
Represent my current age with x and my son's current age with y
Two years ago;
[tex]x - 2 = 4 * (y - 2)[/tex]
Eight years ago:
[tex]x - 8 = 10 * (y - 8)[/tex]
Simplify both expressions
[tex]x - 2 = 4 * (y - 2)[/tex]
[tex]x - 2 = 4y - 8[/tex]
Add 2 to both sides
[tex]x - 2 +2= 4y - 8 + 2[/tex]
[tex]x = 4y - 6[/tex]
Substitute 4y - 6 in the second equation
[tex]x - 8 = 10 * (y - 8)[/tex]
[tex]4y - 6 - 8 = 10 * (y - 8)[/tex]
[tex]4y - 14 = 10y - 80[/tex]
Collect Like Terms
[tex]4y - 10y = 14 - 80[/tex]
[tex]-6y = -66[/tex]
Divide through by -6
[tex]y = 11[/tex]
Substitute 11 for y in [tex]x = 4y - 6[/tex]
[tex]x = 4 * 11 - 6[/tex]
[tex]x = 44 - 6[/tex]
[tex]x = 38[/tex]
I NEED HELP ASAP.
A factory manufactures 7.1x10⁵ bottles of ketchup per month. How many bottles are manufactured in a year?
Answer:
8,520,000
Step-by-step explanation:
hope it help
Step-by-step explanation:
factory manufactures 71*10^5 bottles of ketchup per month.
In a year:
71*10^5*12=71*12*10^5=852*10^5=852*100000=
85200000 bottles of ketchup in a year.
x divided by 4 = -7 What is x? Show your work
Step-by-step explanation:
Here's the answer hope it helps
Find the missing side lengths.
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
Which of the following is a trinomial with a constant term?
Order -6 1/4, -6.35, -6 1/5, and 6.1 from greatest to least. Explain.
Use the formula above to find the slope between the two points.
Answer:
slope is 1x+5
Step-by-step explanation:
Vertex form
Y=3x^2+12x+8
Answer:
y = 3 ( x + 2 ) 2 − 4
Step-by-step explanation:
Can someone please help me real quick?
Answer:
3.5p ≤ 40
Step-by-step explanation:
The inequality that best describes this problem is 3.5p ≤ 40;
Given parameters:
Total amount with me = $40
Cost per package of hot dog = $3.5
Unknown;
The inequality that represents the problem = ?
Solution:
p is the number of hotdogs that can be bought.
So, total hotdog that can be bought if each hotdog cost $3.5 per box is;
p x 3.5
Now,
this will equal the total amount at hand;
p x 3.5 ≤ 40
3.5p ≤ 40
What is the image of (1,8) after a dilation by a scale factor of 4 centered at the origin?
Answer:
(5,40)
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1,8
in grade six class, of the pupils are boys and the number of pupils are 180.Find the number girls?
Answer:
i could of work it but u didnt put how much pupils are boys ,i dont know if your not suppouse to put it .
Step-by-step explanation:
but if there was a number for boys .
subbtract 180 by the amount of boys and the remaining are the girls
Estimate √125 to the nearest integer.
Given:
The number is [tex]\sqrt{125}[/tex].
To find:
The estimate value of given number.
Solution:
We have,
[tex]\sqrt{125}=\sqrt{5\times 5\times 5}[/tex]
It can be written as
[tex]\sqrt{125}=5\sqrt{5}[/tex]
We know that, [tex]\sqrt{5}\approx 2.236[/tex]. So,
[tex]\sqrt{125}=5(2.236)[/tex]
[tex]\sqrt{125}=11.18[/tex]
Approx the value to the nearest integer.
[tex]\sqrt{125}\approx 11[/tex]
Therefore, the required integer is 11.
A line passes through the points (–3, –4) and
(6, 2).
what is the x intercept of this line
Answer:
3,0
Step-by-step explanation:
use the slope formula and slope-intercept form to find
x and y intercepts
Answer:3
Step-by-step explanation:Use your brain
An animal reserve has 20,000 elk. The population is increasing at a rate of 13% per year. How long will it take for the population to reach 60,000? If necessary, round your answer to the nearest tenth. The population will reach 60,000 in approximately years.
Which set of numbers are closed under subtraction?
Natural Numbers
Integers
Irrational Numbers
Odd Numbers
Explain the difference between a concave polygon and a convex polygon. (please please pleaseeeeee help)
Answer:
Every polygon is either convex or concave. The difference between convex and concave polygons lies in the measures of their angles. For a polygon to be convex, all of its interior angles must be less than 180 degrees. Otherwise, the polygon is concave.
Write an equation in point slope form of the line graphed below. (Use the right hand point)
Answer:
y-3 = (-1/4)(x-4)
Step-by-step explanation:
Point-slope form is written as y-y1 = m(x-x1)
The y - 3 portion comes from the coordinate plotted, where the y-coordinate is 3, so from the function y-y1, y1 = 3.
The m equals the slope, the rise over run. Choose the two coordinates, subtract the y's from each other and the x's from each other, get the absolute value of them, and then put in the fraction (y/x) to get your slope of m. The 2 coordinates you have are (0,4) and (4,3). You subtract |4-0| and |3-4|, so you get for the x's = 4, and the y's=1. Now the slope was y/x, so 1/4 is your slope for m.
For the x, use the same coordinate you got for your y to get your x, so the x was 4.
Plug them all into the point-slope function to get your answer, which is y - (3), (-1/4) (x - [4])
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%
Answer:
20%
Step-by-step explanation:
2-1.6=0.4
0.4/2x 100
40/200=1/5 or 20%