The time taken to reach the goal of $3000 will be 36 months.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000.
The equation for the total cost will be formed as,
TC = 75m + 300
3000 = 75m + 300
3000 - 300 = 75m
2700 = 75m
m = 2700 / 75
m = 36 months
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The vertices of a pentagon are located at (-5, 3).(-5, – 3),(4, -3).(0, 0), and (4, 3).
What is the perimeter of the pentagon?
20 units
24 units
34 units
38 units
Answer:
C 34 units
Step-by-step explanation:
I took the test.
Need help Fast!!!Part A: Max rented a boat that costs $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
Write an equation in the slope-intercept form to represent the total rent (y) that Max has to pay for renting the boat for x days. (Hint.....use point slope form...then change to slope-intercept form) (6 points)
Part B: Write the equation obtained in Part A using function notation.(2 points)
(10 points)
Answer:
Part A:
The Standard Form equation of a line has the following formula:
Ax+By=C, where A, B, and C are integers, and A is non-negative.
We will assume that when renting a boat Sam paid fixed cost and rental charge per day.
y = the total rent
x = the number of days
Sam rented a boat at $225 for 2 days would mean:
y = 225 when x = 2 or if we plug into Ax+By=C:
2A + 225B = C since A is non-negative we divide both sides by A
2 + (B/A)225 = C/A
He rents the same boat for 5 days, he has to pay a total rent of $480 means:
y = 480 when x = 5 days
5A + 480B = C since A is non-negative we divide both sides by A
5 + (B/A)480 = C/A
Now we have:
2 + (B/A)225 = C/A
5 + (B/A)480 = C/A
Lets denote s = B/A and t = C/A. Now we can write the following system of equations:
2 + 225s = t
5 + 480s = t
........
click here to see the system of equations solved for s and t
........
s = -1/85
t = -11/17 = -55/85
Now we can go back to:
B/A = -1/85 and C/A = -55/85
A = 85, B = -1, C = -55
The standard equation is:
85x - y = -55
Part B:
Using the equation 85x - y = -55 we solve for y
.......
click here to see the equation solved for y
........
y = 85x + 55
or in function notion y = f(x)
f(x) = 85x + 55
Part C:
The graph of y = 85x + 55 is:
Step-by-step explanation:
Answer:
y = 225/2x + 2
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
2x+[tex]2x+\frac{x}{y} 3x/x-1=\frac{x}{y} x+5/x+3[/tex]
Ms. Sampson recorded the percentage change in her students’ quarter grades after entering the scores from the students’ topic tests. Which student’s change would be represented by the point farthest from 0 on a number line?
Andre 3.76 Brenna 5.48 Christopher -6.15 Delfina -3.33
Answer:
A is the answerrrrr
Step-by-step explanation:
ieidududi
The cost of 5 cans of pinto beans is $3.35.
elps
At this rate, how much do 11 cans of pinto beans cost?
Answer:
About $16.42
Step-by-step explanation:
Since you know the overall price of 5 cans of pinto beans is 3.35, you divide 5 by 3.35, to get the price of one can.
5 / 3.35 = 1.49, giving you the price of one can of pinto beans
You then multiply this number by 11, which gives you 16.42 (rounded)
Hope this helped!
What is the slope of (-2, 3) and (4, -1) in algebraic form?
Answer: The slope is -4/6.
Step-by-step explanation: its y2-y1 over x2-x1
An algebraic expression is described as 4 less than the product of 16
and the sum of hand 5. What is the value of this expression when
h = 92
Please help me
Answer:
Below in bold.
Step-by-step explanation:
The expression is:-
f(h) = 16(h + 5) - 4
When h = 92:
f(92) = 16(92 + 5) - 4
= 16 * 97 - 4
= 1552 - 4
= 1548.
Use the digits 5,4 and 8 once each to write an odd number greater than seven hundred
The figure is composed of a square with an equilateral triangle on top of it. If the area of the square is 16 square inches. What is the perimeter of the figure (round to the nearest whole number)? Hint: Each leg of the triangle measures 4 inches
A) 20
B) 25
C) 30
D) 35
E) 36
Answer:
C 30
Step-by-step explanation:
Please answer due really soon thank you! You'll receive 100 points! (Answer all - 5 questions)
Put each number in an algebraic expression (Don't SOLVE them - Put them in a expression - For EXAMPLE. Four less than five times a number - 11 = 5N-4=11)
1. The product of four and a number is negative twelve.
2. Three decreased by the product of six and a number is equal to negative fifteen.
3. Three multiplied by a number increased by four totals one.
4. The negation of the product of five times a number divided by two is ten.
5. One-third of a number less than nine is equal to seven.
When answering you should have 5 expressions.
Answer:
Step-by-step explanation:
1# Answer:
4x=-12
Step-by-step explanation:
Let a number = X
So
The product of four and a number is negative twelve
4x=-12
2#
3 - 6x = -15 is the equation (it says 3 decreased by the product not the product decreased by 3)
#3
[3(-1)]+4=1
(-3)+4=1
#4
#5
The equation is given by:
9-1/3x = 7
Step-by-step explanation:
Let the number be denoted by x.
Now, we are given a word phrase as follows:
One-third of a number less than nine is equal to seven.
Now this word phrase could be mathematically expressed as a equation by:
one-third of x is: 1/3 x
and this number less than 9 is given by:
9-1/3x
Now, this number is equal to 7.
i.e. we finally have:
9-1/3x = 7
Solve diving linear quadratic system graphically. If necessary round to the nearest integer
Answer:
Step-by-step explanation:
Please answer my math slope equation
Answer:
The slope is = 11 The equation is y = 11x
Hope this helps!
Step-by-step explanation:
(1, 11 ) (2, 22)
22-11 / 2-1
11/1 = Slope
There is no "b" for this equation.
If L||M, find x and y
i need help asap plis
(18x-44) + (8x-10) = 180
26x-54 = 180
26x = 234
x = 9
8(9)-10 + (13y-38) = 180
72-10+13y-38 = 180
13y+24 = 180
13y=156
y=12
How do you do this question?
Answer:
b=3
Step-by-step explanation:
When multiplying square roots, you multiply numbers inside the radical.
S
[tex] \sqrt{3} \times \sqrt{6} = \sqrt{18} [/tex]
Next, simplify the answer, and you will get
[tex]3 \sqrt{2} [/tex]
giving 3 as your b value.
pls try to do this i rlly need this
Answer: 8x-20 [1] x-5y[2] 7xy+2x^[ exponet2] t
Step-by-step explanation:
PLease help! Im giving brainlyest
Answer:
60
Step-by-step explanation:
horizontal plane = 180
therefore 180 - b + 27 = 180
this will give us the missing inner angle
then we create a linear equation to get the value of b, and since the sum of the inner angles of the triangle = 180
b - 7 + b - 26 + (180 - 27 - b) = 180
b = 60
Today, George is three times as old as his sister Lucy. In two years, Lucy will be half as old as George, How old will George be in two years?
Answer:
In two years, George will be 8 years old.
Step-by-step explanation:
g = 3s
(g + 2) / 2 = a + 2
g + 2 = 2 (s + 2)
g + 2 = 2s + 4
g = 2s + 2
3s = 2s + 2
s = 2
g = 3s
g = 3 (2)
g = 6
6 + 2 = 8
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.
Answer:
The triangle is not acute because 2^2 + 4^2 < 5^2
Step-by-step explanation:
2^2 is side a,
4^2 is side b,
5^2 is side c,
then
c^2 = a^2 + b^2 is right triangle
c^2 > a^2 + b^2 is obtuse
c^2 < a^2 + b^2 is acute
If we insert the numbers into the equation and square them:
c^2 = a^2 + b^2
25 = 4 + 16
25 > 20
This means the triangle is NOT accute, but obtuse
Therefore, it means the triangle is not acute, but obtuse
i.e.,
[tex]a^2 > b^2+c^2\\\\5^2 > 2^2+4^2[/tex]
What is the acute angle?
An angle is formed when two rays meet at a vertex. When this angle measures less than [tex]90[/tex] degree, it is termed an acute angle.
As per the Pythagoras theorem the triangle is acute only if the square of the longest side is less than the sum of the squares of the two smaller sides.
i.e., [tex]a^2 < b^2+c^2[/tex]
where [tex]a,b,c[/tex] are the lengths of the sides of a triangle.
So,
[tex]a^2=5^2\\b^2=2^2\\c^2=4^2[/tex]
Then,
The right triangle is [tex]a^2=b^2+c^2[/tex].
The obtuse triangle is [tex]a^2 > b^2+c^2[/tex]
The acute triangle is [tex]a^2 < b^2 + c^2[/tex]
i.e.,
[tex]5^2 = 2^2+4^2\\\\25=4+16\\\\25 > 20[/tex]
Hence, this means the triangle is not acute, but obtuse.
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What is 18*18*18*18*18*90?
Answer:
18x18x18x18x18x90=170,061,120
Step-by-step explanation:
Answer:
Step by step explanation:
A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude of 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.?
A. x ≥ 29,000 and x ≤ 41,000
B. x ≤ 29,000 and x ≥ 41,000
C. x ≥ 41,000 and x ≥ 29,000
D. x ≤ 41,000 and x ≤ 29,000
Answer:
A
Step-by-step explanation:
A is correct because if the minimum is 29,000 feet, x (the airplane altitutude) must be greater than or equal to 29,000 ft. Since the maximum is 41,000 feet, x must be less than or equal to that number.
will mark brainly :)
The ____ value of the quadratic function determines whether the parabola opens upward or downward.
a
b
c
x
Answer:
The ___a_ value of the quadratic function determines whether the parabola opens upward or downward.
Answer:
The 'a' value.
Step-by-step explanation:
The general quadradic equation is:
[tex]ax^2 + bx + c; \text{ } a\neq 0[/tex]
If the value of a is greater than 0, then the parabola would open upward. If the value of a is less than 0, then the parabola would open downward.
Hope this helps.
Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university? (Round to the nearest whole euro.)
0.7306euros = 1 US dollar
213 euros
2,557 euros
30,685 euros
57,487 euros
Answer:
2,557 euros
Step-by-step explanation:
3500*0.7306=2557.1
Answer
B. 2,557 euros
Step-by-step explanation:
Find the test average for test grades or 80, 90, 85, 96.?
Answer:
87.75 or 88
Step-by-step explanation:
To find the average you add the variables together
80+90+85+96=351
And then you take that number and divide by how many variables there are
351÷4=87.75 and you can round up to 88 if you want.
Hope this help!
Austin will run at least 33 miles this week. So far, he has run 20 miles. What are the possible numbers of additional miles he will run? Use t for the number of additional miles he will run.
Answer:
t ≥ 13
Step-by-step explanation:
t + 20 ≥ 33
subtract 20 from each side
he will run at least another 13 miles
istg whoever made savvas realize i need to have a converstaion with rihgt now i hate it so mcuh
Answer:
Hey :D
Step-by-step explanation:
1. What is the horizontal and vertical shift for the quadratic function given by f(x) = (x+2) ^2 -4?
-3 x 5 x -2y
Help please ✋
Answer:
-3 to 6 powder -2..... good luck
help whats
[tex] - 4 \ \frac{1}{3} \ \times 1\frac{3}{5} [/tex]
I'll give brainliest <3
a canadian football field is 59 meters wide by 137 meters long. if you were to cut across the field diagonally, how far would you walk?
trigonometric ratios review***
Answer:
≈149.1643 [meters].
Step-by-step explanation:
1) according to Pythagorean theorem
[tex]c=\sqrt{a^2+b^2}[/tex] , where a;b are the given length and width,
2) [tex]c=\sqrt{137^2+59^2}=149.1643[m].[/tex]
