Using a proportional relationship, the expression that represents the net change to Callie’s account balance each month is:
y = -104.12x.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, in the case of a direct relationship, as presented as follows:
y = kx
In this problem, we have that she is billed $416.48 in 4 months, hence the monthly payments are given as follows:
k = 416.48/4
k = 104.12.
This is the amount taken away from the account each month, hence the constant is negative and the expression is given as follows:
y = -104.12x.
Missing informationCallie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account. What is the net change in her bank account balance after each monthly payment? Complete the steps below to solve this problem and others like it.
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C is the point (1;-2) .The point D lies in the second quadrant and has coordinates (x;5) . If the Length of CD is the square root of 53 units , determine the value of x
The value of x would be -1 and the point D lies in the second quadrant and has coordinates (-1, 5).
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places represents their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
We have been given as C is the point (1, -2)
The point D lies in the second quadrant and has coordinates (x, 5)
The Length of CD is the square root of 53 units.
Length of CD = √ (x – 1)² + (5 – (-2)) ²
√(53) = √ (x – 1)² + (5 – (-2))²
53 = (x – 1)² + (5 + 2)²
53 = x² - 2x + 1 + 49
x² - 2x -3 = 0
x = 3, -1
Since D lies in the second quadrant, so x-coordinate will be negative.
Therefore, the value of x would be -1.
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2 Sue is x years old. She is over 2.
Ben is twice as old as Sue.
Ceri is 4 years older than Sue.
The total of their three ages is less than 28.
a Write this information as an inequality.
b What age could Sue be?
c What are the corresponding ages of Ben and Ceri?
a. x < 2
b. Sue's age = 4
c. Ben's age = 8 and Ceri's age = 16
How to solve Ages problems ?
- If the present age is y, then n times the present age = ny.
- If the present age is x, then age n years later/hence = x + n.
According question,
Sue = x
She is over 2, so Sue = x+2
Ben age is twice as old as Sue,
so, Ben = 2(x+2)
Ceri is 4 years older than Sue.
so, Ceri = 4(x + 2)
The eq. will form as,
(x+2) + 2(x+2) +4(x+2) < 28
=> x + 2 + 2x+ 4 + 4x + 8 < 28
=> 7x < 28 - 14
=> 7x < 14
=> x < 2
Sue age = x + 2 = 2 + 2 = 4
Ben's age = 2( x + 2) = 2(2 + 2) = 8
Ceri's age = 4(x + 2) = 4(2 + 2) = 16
Therefore, the answer of a. x < 2
b. Sue's age = 4
c. Ben's age = 8 and Ceri's age = 16
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Ten out of every 32 people survey to play Amung us. what percent of people surveyed play amung us
Mrs. Anderson bought $17.01 worth of ribs (r) and chicken (c). Ribs cost $1.89 per pound and chicken costs $0.90 per pound.
Write the equation that would represent this situation.
Pls hurry‼️‼️
Answer:
Step-by-step explanation:
17.01 = 1.89(r) + 0.90(c)
how do you show a number with a decimal side repeating like 23.3333333333…
i’m slow mb guys i didn’t pay attention in 6th grade so 7th and 8th have been
Answer:
You can write 23.3 with a dot on the three after the decimal point
A company rents storage sheds shaped like rectangular prisms. Each shed is 12 feet long, 8 feet wide, and 10 feet tall. The rental cost is $3 per cubic foot. How much does it cost to rent one shed?
Answer:
$2880
Step-by-step explanation:
Volume of rectangular prism:First find the volume of the prism.
l = 12 ft
w = 8 ft
h =10 ft
[tex]\sf \boxed {\bf Volume \ of \ rectangular \ prism = l*w*h}[/tex]
= 12 *8 * 10
= 960 cubic feet
To find the rental cost, multiply the volume of the prism by the rental cost per cubic foot.
Rental cost = 960 * 3
= $ 2880
Tom jarred 12 liters of jam after 2 days. How many days does Tom need to spend making jam if he wants to jar 24 liters of jam in all? Solve using unit rates.
PLS HELP
Answer:
4 days
Step-by-step explanation:
→ Find how much in 1 day
12 ÷ 2 = 6 litres in 1 day
→ Divide by 24
24 ÷ 6 = 4 days
Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded.
For given two state parks Elm Grove and Cathedral Rock, the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
Here, we have been given two state parks Elm Grove and Cathedral Rock. Each recorded the number of visitors to the park each day for 15 days.
We were given line graphs of this data.
We have to choose the correct statements about the two plots.
For Elm Grove Park,
Maximum number of visitors: 350
Minimum number of visitors: 50
Range of visitors per day,
350-50 = 300
And in case of Cathedral Rock Park,
Maximum number of visitors 600
At least 300 visitors and the range of visitors per day is 600-300 = 300
This means that the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
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1,000,000,000×40,000
1,000,000,000 x 40,000
This can be made easy if the numbers are expressed in standard form
[tex]\begin{gathered} 1,000,000,000=1X10^9 \\ \end{gathered}[/tex][tex]40,000=4X10^4[/tex]=>
[tex]1,000,000,000X40,000=1X10^9X4X10^4[/tex]=>
[tex]\begin{gathered} 4X10^{9\text{ + 4}} \\ \\ 4X10^{13} \\ \\ 4X10^{13}\text{ = 40, 000, 000, 000, 000} \\ \end{gathered}[/tex]jose va a comprar una bicicleta de tiene 28% de descuento si la bicicleta cuesta 3,600 ¿cuanto fue el descuento? ¿cuál es el nuevo precio de la bicicleta?
Answer:2,592
Step-by-step explanation:
Tienes que quitar de 3,600-28% = 2,592.
Answer:
el porcentaje es 0.28 o .28 y pagara por la bici 2402
Step-by-step explanation:
primero sacamos porcentaje 100 entre 28= 0.28
luego multiplico 3600 x .28= 998.00 (se le puede quitar los 00)
despues resto 3600-998 = 2402
y listo xdd
Solve for a.
Give an exact answer.
3+0.5(4a+8)=9-2a
The value of a for which 3 + 0.5(4a + 8) = 9 - 2a is 1/2
What is a linear equation?A linear Equation is an Algebraic equation with the highest degree of the variable as 1.
Linear equations when plotted on a graph results to straight line graphs.
3 + 0.5(4a + 8) = 9 - 2a
Opening of bracket by multiplying the two terms in the bracket by 0.5
3 + 2a + 4 = 9 - 2a
collecting like terms
2a + 2a = 9 - 7
4a = 2
a = 2/4
a = 1/2
In conclusion, the value of a for the given equation is a = 1/2
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hi help please thanks
∠8 and ∠4 are the pair of alternate exterior angles.
What are alternate exterior angles?The pair of angles known as alternate exterior angles are those that are formed on the outer side of the parallel lines but on the transverse side. A triangle's exterior angle is the product of its two opposite interior angles. 180 degrees is the sum of the exterior angle and the interior angle. They form two pairs (four total angles) of alternate exterior angles because they are situated "outside" the two parallel lines but on opposite sides of the transversal.So, in the given image ∠8 and ∠4 are the pair of alternate exterior angles.
Therefore, ∠8 and ∠4 are the pair of alternate exterior angles.
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What is 18(54)+72(929)?
EXPLANATION
Given the operation 18(54)+72(929), by applying the distributive property:
= 972 + 66,888
Adding numbers:
= 67,860
The solution is 67,860
Grammy Wolf has 7 coins in his pocket worth 65 cents how many quarters dimes and nickels does he have?
please help asap thank u so much
Answer: 2 quarters, 1 dime, 1 nickel
Step-by-step explanation: 2 quarters= 25+25=50, 1 dime=10, 1 nickel=5
50+10+5=60
Solve for x and y
Please help I forgot what I needed to do!
-14 + 3d = 13 what is d
-3x-3y=3 y=-5x-17 its solving a question using subsitution
The required solutions are x = - 4 and y = 3 to the given linear system of equations. which are determined by the substitution method.
The linear system of equations is given in the question
-3x - 3y = 3 ....(i)
y = -5x - 17 ....(ii)
Substitute the value of equation (ii) in equation (i),
-3x - 3(-5x - 17) = 3
-3x - 3 ×-5x - 17 × -3 = 3
-3x + 15x + 54 = 3
Rearrange the terms likewise and apply the arithmetic operation,
12x + 51 = 3
12x = -48
x = -48/12
x = - 4
Substitute the value of x = - 4 in equation (ii), and solve for y
y = -5(-4) - 17
y = 20 - 17
y = 3
Thus, the required solutions are x = - 4 and y = 3 to the given linear system of equations.
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Margot goes to the store to buy curtains without measuring the lenght of her windows. she guesses the windows are 36 inches in length. when she gets home she measures and finds they are 40 inches in length.what is the percent error of her guess.
Answer:
The percent error is 10%
Step-by-step explanation:
The lengh of the windows are 40 inches, which is the 100% of the lengh.
What you have to do is to put 40 and 100 in a proportion with her guess, which is 36:
40 / 100 = 36 / x
so you do: (100 x 36) / 40 = 90%
This means that the percent error of her guess is 100% - 90% = 10%
2) The midpoint M of line segment AB has coordinates (-3, 4). If A is the origin (0.0),
what are the coordinates of point B? (The use of the accompanying grid is optional)
Step-by-step explanation:
the coordinates of the midpoint between points A and B are
((xa + xb)/2, (ya + yb)/2)
in our case that is (-3, 4).
xa = 0
ya = 0
so we get
-3 = (0 + xb)/2
-6 = 0 + xb = xb
4 = (0 + yb)/2
8 = 0 + yb = yb
B = (-6, 8)
Which of the following does NOT represent the distance a car travels when going 75 miles per hour
PLS HELP I WILL MARK BRAINLIEST
The answer is D which does not represent the distance a car travels when going 75 miles per hour. 1 Hour and 15mins a car travels 93 3/4 miles
How to calculate distance?Use the formula d = st, or distance equals speed times time, to find the distance. Since both represent a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t.Speed is calculated as Distance x Time.Time is determined using the formula Time = DistancexSpeed.Distance is calculated as Distance = Speed x Time.Distance divided by time equals speed. Simply explained, it would look like this after traveling 60 kilometers in one hour: Distance (60 kilometers) divided by time (1 hour) equals 60 km/h.To learn more about Distance refer to:
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Write 84000 in standard form
Answer: 8.4000
Step-by-step explanation:
Answer: Or i could be 8.4 × 104
Step-by-step explanation: You multiply this and get 840000 or 8.4000
a line is drawn perpendicular to y=(1/2)x+6 and passes through the points (b,1) and (-3,2). what is the value of b
Answer:
[tex]{ \tt{y = \frac{1}{2} x + 6}} \\ [/tex]
- If two lines areperpendicular, their gradients have a relation below;
[tex]{ \tt{m_{1} \times m _{2} = - 1 }} \\ [/tex]
- Therefore, gradient for points (b, 1) and (-3, 2);
[tex]{ \tt{ \frac{1}{2} \times m _{2} = - 1}} \\ \\ { \tt{m = - 2}}[/tex]
- Therefore:
[tex]{ \tt{ - 2 = \frac{2 - 1}{ - 3 - b} }} \\ \\ { \tt{ - 2( - 3 - b) = 1}} \\ \\ { \tt{6 + 2b = 1}} \\ { \tt{2b = - 5}} \\ { \tt{b = - \frac{5}{2} }}[/tex]
What is the equation of the line, in point-slope form, that passes through the given point and has the given slope?
Point: (4, -6) Slope: m = -3
A:y-6=-3(x+4)
B:y-x=-3(-6-4)
C:y-4=-3(x+6)
D:y+6=-3(x+4)
The area of a circle is 1217 in². What is the
circumference, in inches? Express your answer in
terms of T.
Answer:
Your answer is [tex]T= 123.665974[/tex] inches
jeffrey has $1.20 more than ryan. when ryan hands jeffrey $7.50, jeffrey's money becomes 7 times as much as Ryan's. How much money did they each have at the beginning?
Ryan had $1.45 and Jeffrey had $2.65 in the beginning.
Let Ryan has $x. So, amount with Jeffrey is x + 1.20.
As per the information on exchange of money, the equation relating their possession is -
x + 1.20 + 7.50 = 7x
Evaluating the equation to find the value of x
7x - x = 7.50 + 1.20
Performing subtraction on Left Hand Side and addition on Right Hand Side
6x = 8.70
x = 8.70 ÷ 6
Performing division on Right Hand Side of the equation
x = 1.45
Amount with Jeffrey = 1.45 + 1.20
Amount with Jeffrey = $2.65
So, at the beginning Ryan had $1.45 and Jeffrey had $2.65.
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(-9√2) (4√6) in simplified form?
-72√3 is the simplified form .
What is the most basic form example?The term "reduced form" refers to the fraction's simplest form. As an illustration, the simplest form of a fraction with a common component of 1 is 34 However, while 2/4 can be further condensed and expressed as 12, it is not the most basic form.
What is the most basic radical form?Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Furthermore, it entails eliminating any radicals from the denominator of a fraction.
=> (-9√2)(4√6)
= −9√2*4√6
= -9*4√2*6
= -9*4√12
= -9*4*2√3
= -72√3
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If f(x) = 3x – 2 and g(x) = 2x + 1, find (f + g)(x).
Put your answer in standard form with no spaces.
The value of the composite function (f + g)(x) is 5x - 1
How to evaluate the function?The functions are given as
f(x) = 3x - 2
g(x) = 2x + 1
The composite function definition is given as
(f + g)(x)
This composite function is calculated using the following composite function formula
(f + g)(x) = f(x) +g(x)
Substitute the known values in the above equation
So, we have the following equation
(f + g)(x) = 3x - 2 + 2x + 1
Evaluate the like terms
(f + g)(x) = 5x - 1
Hence, the composite function is (f + g)(x) = 5x - 1
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3x+3y=−x+5y Which ordered pair is a solution of the equation?
First simplify the equation.
3x+3y= -x+5y
4x=2y
2x=y
y=2x
Means that the y value is 2 times the x value.
answer: (1,2) and (2,4) but there are more solutions
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost $.23.85 Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
After doing some mathematical operations, we know that the cost of 2 panes is $5.3.
What exactly are mathematical operations?An operation, in mathematics, is a mathematical function that transforms zero or more input values into a precisely defined output value.The arity of the operation is influenced by the number of operands.The rules that specify the order in which we should carry out the operations required to solve an expression are referred to as the order of operations.PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).So, the cost of 2 panes:
The cost of 9 panes is $23.85.
Then, the cost of 1 pane will be:
23.85/9 = $2.65Now, the cost of 2 panes will be:
$2.65 × 2 = $5.3Therefore, after doing some mathematical operations, we know that the cost of 2 panes is $5.3.
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PLEASE HELPPPPP DUE IN A BIT
For the function f(x) and the given domain: {-1, 0, 1}, the range is {-8, -1, 6}
What is the range of the function?
For a function y = f(x), we define the domain as the set of the inputs (possible values of x) and the range as the set of the outputs (possible values of y).
In this case, the function is:
y = 7x - 1
And the domain is: {-1, 0, 1}
By evaluating ni the values of the domain, we will get the values of the range.
if x = -1, then:
y = 7*(-1) - 1 = -8
if x = 0, then:
y = 7*0 - 1 = -1
if x = 1, then:
y = 7*1 - 1 = 6
Then for the given domain and function, the range is:
R: {-8, -1, 6}
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