The amount of money that is left in a medical savings account is expressed by the equation y=-24x+379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?
Answers
The number of weeks required to have $67 left in the account is 13 weeks
Given the Parameters :
Linear equation : y = - 24x + 379y = amount left in account x = Number of weeksTo obtain the number of weeks to have $67 left in the account, we substitute y = 67 into the equation and solve for x :
y = - 24x + 379
67 = - 24x + 379
Collect like terms
24x = 379 - 67
24x = 312
x = 312 / 24
x = 13
Therefore, the Number of weeks required is 13 weeks
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Related Questions
Graph the equation on the coordinate plane.
How would I graph it?
y=12x
Answers
12 on the x axis you stay on the x axis, because you dont have a Y intercept. Then draw a vertical line from the point
What is graph?The graph of a function is the representation in the Cartesian plane of an algebraic expression.
Let us consider the equation y=12x.
x 0 1 2 3
y=12x 0 12 24 36
Now plot the values of (x,y) on the graph.
y=12 x has slope 12 and it does not have y intercept.
So 12 on the x axis you stay on the x axis, because you dont have a Y intercept. Then draw a vertical line from the point
Hence the graph is given in the attachment.
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Certain clouds form when temperatures fall below minus−64°C. What is this temperature in degrees Fahrenheit?
Answers
-64 Celsius =
-64 * 9/5 + 32 = minus 83.2 degrees Fahrenheit
Clouds form when temperatures drop below -64°C.
To convert temperatures from Fahrenheit to Celsius, subtract 32, multiply by 5, and divide by 9. -64°C is equal to -83.2°F, the temperature at which certain clouds form.
To convert from Fahrenheit to Celsius:
Subtract 32 from the Fahrenheit temperature.Multiply the result by 5.Divide by 9 to get the temperature in Celsius.For this specific question:
Minus 64°C is equal to -83.2°F.
Clouds form when temperatures drop below -64°C.
Jane has 7 tealight candles Aisha has 5 times more candles than Jane how many candles does Aisha have?
Answers
You would multiply Jane's 7 candlesticks by 5 because "times more" means to multiply.
It's a basic multiplication problem. Simply multiply the number of candles Jane has (7), by 5, which equals 35. So, Aisha has 35 candles.
Explanation:The problem presented is a multiplication problem. We're told that Aisha has 5 times more tealight candles than Jane.
by calculating how many candles does Aisha have,
To find out how many candles Aisha has, we can multiply the number of candles Jane has (which is 7) by 5. So, the calculation will be as follows: 7 (candles) * 5 = 35 candles. by using basic multiplication i.e. 7*5 = 35.
Therefore, Aisha has 35 candles.
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A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 49 feet?
Answers
[tex]v^2=u^2-2gs[/tex]
At maximum height, v = 0, we assume [tex]g = 32 ft/s^2[/tex] then we have:
[tex]0=u^2-2(32)(49)\\ \\u^2=3,136\\ \\ u= \sqrt{3,136} =56[/tex]
Therefore, the minimum speed that the stone should be thrown so as to reach a height of 49 feet is 56 feet per second.
Order the numbers from least to greatest. 2.1,−6/10,−9/4,−0.75, 5/3
Answers
-9/4, -0.75, -6/10, 5/3, 2.1
This is because -9/4 is equivalent to -2 1/4, which is less than all of the other numbers. -6/10 (-0.6) is greater than -0.75. 5/3 is less than 2, so it is not greater than 2.1.
what's 12+ 4X when X= 1 1/2
Answers
marcel bought a,new hat for $21.99 and 2 pairs of socks for 3.99 each. what is the total price, including a 7.5% sales tax?
Answers
if m∠1 = 50, then m∠5 =
Answers
2. angle 1 and angle 5 are corresponding angles [Given]
3..Therefore angle1=angle 5 [ Corresponding angles are =]
4..Therefore angle 5 = 50 degrees [= angles have same measure]
The above assumes that we are talking about corresponding angles of congruent or similar polygons or corresponding angles forme when a transversal intersects two parallel lines
The angle measure of angle 5 is m∠5 = 130 degrees.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given information:
The two lines m and n are parallel lines.
And line l intersects lines m and n.
m∠1 = 50.
angle 1 and angle 3 are opposite angles.
Therefore, m∠1 = m∠3.
Angle 3 and angle 5 represent a pair of supplementary angles.
So,
m∠3 + m∠5 = 180
m∠5 = 180 -50
m∠3 = 130.
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The complete question:
If m∠1 = 50, then m∠5 = ?
The image is given below.
If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king
Answers
52
Now subtract the
13spades + 3 kings = 16
what is left
36 left
want 36
_____ ---------
total 52
answer: 36/52
The probability that a card randomly drawn from a well-shuffled 52-card deck is not a spade or a king is approximately 0.846 or 44 out of 52.
Explanation:In a well-shuffled deck of 52 cards, there are four spades and four kings. Therefore, there are 4 + 4 = 8 cards that could be a spade or a king. The probability that a randomly chosen card is a spade or king can be calculated as the number of favorable outcomes divided by the total number of outcomes. So, the probability is 8/52 or approximately 0.154.
However, the question asks for the probability that the card is not a spade or king. To find this, we calculate 1 minus the probability of drawing a spade or king. Therefore, the probability that a card randomly drawn from a well shuffle deck is not a spade or a king is 1 - 0.154 = 0.846 or 44/52.
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Simplify 4x^2+36/4x multiply 1/5x
Answers
------------
5
29x^2 / 5
7 + 5r + 3 + 5 = 1 + 7r
Answers
15+5r=1+7r
-5r=-5r
15=1+2r
-1=-1
14=2r
7=r
15+5r=1+7r
14=2r
r=7
There are 15 puppies in a photograph, and 11 of them have their eyes open. How many puppies have their eyes closed?
11 – c = 15
c – 11 = 15
15 + c = 11
11 + c = 15
Answers
The puppies have their eyes closed, 11 + c = 15.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Total puppies= 15
Puppies who opened their eyes = 11
let the number of puppies who have not open-end their eyes be c.
so, puppies have their eyes closed
c= 15 - 11
or, 11 + c = 15
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what is fourteen thousand and two hundred eight thousandths in standard form?
Answers
The standard form of fourteen thousand and two hundred eight thousandths is 1.4208 x 10⁴.
What is a standard form of the number?Standard form refers to any number that can be written as a decimal number between 1.0 and 10.0 multiplied by a power of ten. 1.23 108; If you look closely, 1.23 is a decimal number between 1.0 and 10.0, so the standard form of 123,000,000 is 1.23 108.
Given that the number is fourteen thousand and two hundred eight thousandths.
The standard form of the number will be written as,
14208 = 1.4208 x 10⁴
The standard form is 1.4208 x 10⁴.
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How many pounds are there in 2 and 3 over 4 tons? (1 ton = 2000 pounds)
Answers
2000
x
3
-6000 1/4 of 2000= 500 6000
+
500
________________
6500Lbs
Answer:
The correct answer is C ( 5500 )
Step-by-step explanation:
I pressed that on my test it was correct and the only options were
(A) 4075 ^_______________ \
(B) 5000 /
(C) 5505 <------------------------------------------------------ /
(D) 5575
THAT IS THE CORRECT ANSWER
Express 105 as a mixed number in simplest form. -
4 20
A.5 -
20
1
B.4 -
4
5
C.4 -
20
1
D.5 -
4
Answers
I can’t really understand them sorry
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.
Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Answers
Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}
Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
But if you are writing the equation in standard form it would be
50x - y = -25
Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.
Writing the equation using the function notation would give us this
f(x) = 50x + 25
Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
Answer:
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.
Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Step-by-step explanation:
Graph the inequality: –2(y – 2) < 2(y – 4)
Answers
y>3y>3 is your answer for that problem.
Ninety-one students signed up for the skating club. Coach Link wants to form teams with the same number of members on each team, but says that is impossible: the only teams he can make are 91 teams of 1 or 1 team of 91. Is coach link correct?
Answers
Answer: he is not right
What is 69,000 rounded to the nearest hundred
Answers
Hope this Helps
What is 69,000 rounded to the nearest hundred?
To round to the nearest hundred, you need to know whether the number next to hundred's place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down.
69,000 → The number 0 is in the hundred's place. Zero has no value so thus you will be rounding down.
69,000 ≈ 69,000.
Hope I helped (:
Have a great day!
24x^2 + 25x - 47 = (-8x - 3)(ax-2) - 53
Answers
Just looking at the first term of the left hand side of the equation, it must equal 24x². The only time x terms are being multiplied to form an x² on the right hand side of the equation is in the first two parenthesis. Therefore, -8 times a must be equal to 24, and from this you can get a= -3.
HELP HELP!! ONLY 1 QUESTION !! (Ill mark as brainlist if correct) Type the numerial answer
Answers
To convert 5 square meters to square yards, multiply 5 by 1.196
Answers
This equation is true/correct.
The number of students is 7 more than 5 times the number of teachers. There are 12 teachers. How many students are there?
Answers
12 x 5 = 60
And since it says there are 7 more than 5 times the amount we need to add 7 to 60 which would be 67.
So, there are 67 students :D
What percent of 300 is 0.6
Answers
Some things to ask yourself:
- How many hundreds are in 300?
- What do I need to multiply that number by to get 0.6?
Divide. 5/6÷ −2/3 please help asap
Answers
5/6 x (-3/2)
-15/12
-5/4 is your answer
hope this helps
Hope this answer is correct ☺
Triangle QRS is to be dilated using the rule Dp3/4 what will be the distance from the center of dilation p to the image of us
Answers
Answer:
6units
Step-by-step explanation:
What comes next simplify 31/50,17/25,37/50,4/5,...
Answers
43/50
31/50=0,62
17/25=0,68(0,06 more)
37/50=0,74(0,06 more)
4/5=0,8(0,06 more)
43/50=0,86(0,06 more)
Next decimal should be 0,86
You need to find a fraction from the decimal 0,86
0,86=86/100=43/50
it costs $100 to rent the bowling alley, plus $4 per person. The cost for any number (n) of people can be found using the expression 100 + 4n. The cost for 15 people equals $ ___. (Input whole number only.)
Answers
Answer:
160
Step-by-step explanation:
100 + 4 (15)
100 + 60
160
what is the product (8 x 10^2) x (2.5 x 10^2)
a.2 x 10^2
b.2 x 10^3
c.2 x 10^4
d.2 x 10^5
Answers
Answer:
D) 2*10^5
Step-by-step explanation:
the question is in the picture below
Answers
A change in x of 2 from one row to the next gives a change in y of 6. For example, changing x from -3 to -1 gives a change in y from -8 to -2. Then the slope is
... slope = ∆y/∆x = 6/2 = 3 . . . . . the coefficient of x
Now, you can pick any row of the table to determine what the intercept value must be. For example, choosing x = 1, we have
... 4 = 3×1 + intercept
... 1 = intercept . . . . . . . subtract 3 from both sides of the equation
Now, you know your equation is
... y = 3x + 1
_____
Since this is a linear equation, the y-intercept at x=0 will be halfway betweeen the value of y at x=-1 and the value of y at x=1. That is (-2+4)/2 = 1, in agreement with our calculation above.