Dime is one-tenth of a dollar, while nickle is one-twentieth part of a dollar. Jaime has got 22 dimes and 4 nickle coin in this case.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, since number of dimes is given in terms of number of nickels, so lets assume that:
Number of nickle Jaime got = [tex]x[/tex]Number of dime Jaime got = 14 more than the number of nickle = [tex]14 +x[/tex]Since 1 nickle's cost = $0.05,
thus, x nickles' cost = [tex]x \times 0.05[/tex] (in dollars)
And as 1 dime's cost = $0.10,
thus, 14 + x dimes' cost = [tex]0.10 \times (14 + x)[/tex] (in dollars)
Total amount Jamie have = Amount by nickles + Amount by dimes
Total amount Jamie have = [tex]0.10(14+x) + 0.05x[/tex] (in dollars) = $2.60 (as given in the problem)
Thus, we get:
[tex]0.10 (14+x) + 0.05x = 2.60\\1.4 + 0.10x + 0.05x = 2.60\\\\\text{Subtracting 1.4 from both the sides}\\\\0.15x = 1.2\\\text{Dividing both the sides by 0.15}\\\\\dfrac{0.15x}{0.15} = \dfrac{1.2}{0.15}\\\\x = 8\\[/tex]
Thus, Jamie got x = 8 nickles.
And number of dimes he got = x + 14 = 8 + 14 = 22
Thus, Jaime has got 22 dimes and 4 nickle coin in this case.
Learn more about forming equations here:
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im stup*d please help
Answer:
1. Standard form
2. Vertex form
3. Intercept form
Step-by-step explanation:
#CARRYONLEARNING
Answer:
a. 2. Intercept Form
b. 3. Vertex Form
c. 1. Standard Form
Step-by-step explanation:
hope this helps :)
Can someone check this!?
Which of the following statements are true about the function y = 3x?
i. The function is a direct variation.
ii. The function goes through the origin.
iii. The constant of variation is
1/3
iv. y is 6, when x is 2.
The following statement are true about the given function
Statements i,ii, and iv
Given Data
We have the following function to analyse
y = 3x
The following statement are true/false about the given function
The function is a direct variation: this is true because an increase in the x value will increase the y valueThe function goes through the origin: for x = 0, y = 0The constant of variation is 1/3: this statement is false, the constant of the variation is 3y is 6, when x is 2: this statement is true, when we plug x = 3, the corresponding value for y is 6Learn more about variation here:
https://brainly.com/question/6499629
Answer:
I,II, and IV
Step-by-step explanation:
The diagram shows a rectangle. Its width is 3a, and its height is 5b. Write down an expression for the area of the rectangle. Simplify your answer.
Area of a rectangle = height × width
= 5b × 3a
= 15ab
Find the linear equation from this table
Answer:
y=2x+5
Step-by-step explanation:
The slope-intercept form of a linear equation is:
y=mx+b
Where m is the slope and b is the y-intercept.
We can start by finding the slope...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can use any two x, y pairs to solve for the slope. In this case let's use (0,5) and (2,9)...
[tex]Slope=\frac{9-5}{2-0}=\frac{4}{2}=2[/tex]
The y-intercept is where the line intersects the y-axis. This means that the x value is 0. In the table we can see when the x value is 0, the y value is 5 meaning the y-intercept is 5...
y=2x+5
A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
Answer:
155 m/h
Step-by-step explanation:
We just add 150 to 5 which equals 155 m/h
I HOPE THAT THIS IS CORRECT
Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
Answer:
1/3
Step-by-step explanation:
This is about the interpretation of the graph
From the graph, we can see the 2 lines representing function f(x) and function g(x).
Now for us to find the value of x in g(x) = k⋅f(x), we need to get a mutual x-coordinate where we can easily read their respective y-coordinate values.
We see that the best point for that is where x = -3.
For f(x), when x = -3, y = 1
For g(x), when x = -3, y = -3
we can rewrite them as;
x = -3, f(-3) = 1 and x = -3, g(-3) = -3
Let us plug in the relevant values into g(x) = k⋅f(x) to get;
-3 = k(1)
Thus; k = -1/3
Hope it helps you mark me as brinllent
Ebony’s bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8.
(a) Determine
B B B 5 , 6 , and 7
. Explain how you determined these amounts.
(b) Estimate
B B B 1 , 2 , and 3
. Explain how you determined these amounts.
(c) Jade said that the amount of money Ebony took out of her account each day between Day 8 and Day
12 was the same amount of money she put into her account each day between Day 0 and Day 4.
Recall that Day 12 is when the balance first reached $0. Without doing any calculations, how could
you show Jade why that cannot be true?
Answer: Answer:Step-by-step explanation:a) On day 4, her balance = $400on day 5, her balance = $0on day 6, her balance = $400on day 7, her balance = $0on day 8, her balance = $400From the above illustration, Ebony withdraws all the money and deposits the same amount, each every other days.c) I do not think so, perhaps, she must have been doing that previously, between day 4 and day 8, but have changed her way of withdrawals and savings between day 8 and day 12.
Step-by-step explanation:
Mary’s dog weighs 185 pounds. Her dog needs to lose between 9 and 15 pounds. Between what two percentages, rounded to the nearest whole numbers, should Mary’s dog lose weight with respect to its current weight of 185 pounds? Select your answers from the drop-down lists.
Answer:
talk to you're mother
Step-by-step explanation:
love you
HELP I DON'T GET THIS PLEASE HELP!!!!!!!
Kamara has a square fence kennel area for her dogs in the backyard. The area of the kennel is 64 ft squared. What are the dimensions of the kennel? How many feet of fencing did she use? Explain.
Answer:
dimensions: 8 ft x 8 ft ║ 32 ft of fence she used.
Step-by-step explanation:
area of the kennel is 64 ft²as its a square, its formula for area: length²
using the formula:
length² = 64
length = √64
length = 8 ft
→ The dimensions of the kennel is 8 ft x 8 ft
Using the length, we can find; how many fencing she used:
formula used: 2 ( length + length )
using the formula:
2 ( 8 + 8 )
2 ( 16 )
32 ft
Which describes the intersection of plane A and line m?
line k
line n
point X
point W
can someone please answer this
Answer:
Step-by-step explanation:
Angle j is the measure of the interior angle of a regular hexagon, so its measure is 180(4/6) = 120 degrees.
Angle k can be found using the fact that the sum of the interior angles of a quad is 360.
So k = 360 - 180 - 142 = 38 degrees
From Lesson 6.04 Piecewise Functions
The graph below models how one county fines drivers that get a ticket for speeding based on how many miles over the speed limit. Based on the graph, what would the fine be for a person that was ticketed for driving 62 mph in a zone that had a maximum speed of 55 mph?
$150
$100
$50
$200
Answer:
$100
Step-by-step explanation:
The bottom row is how many mph the driver is over, the left row is how much it costs per mph over. Since 62mph in a 55mph zone is 7mph over, you go the 7 on the bottom, and go up until you get to the point, then see what the number on the left is. In this case, it would be 100. So therefore the fine is $100.
g(x)=4x-2 ,h(x)= 5x, evaluate (h×g)(3)
Answer: 50
Step-by-step explanation:
[tex]h\:\circ \:g=h\left(g\left(x\right)\right)[/tex]
[tex]g\left(x\right)=4x-2[/tex]
[tex]=h\left(4x-2\right)[/tex]
[tex]=5\left(4x-2\right)[/tex]
[tex]=20x-10[/tex]
Substitute 3 for x:
= 20(3)-10
= 50
A freight train travels 1445 miles in 25 hours. What is the train’s average rate of speed?
Answer:
the train's average rate of speed would be 57.8 mph
Step-by-step explanation:
Divide 1445 with 25 and then you get your answer
brainilest pls
anyway hope this helped have an awesome day bye byeee
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 8 tiles are in the Product spot in 2 columns with 4 rows: 1 is labeled x squared, 1 is labeled x, the 3 tiles below x squared are labeled negative x, and the 3 tiles below the x tile are labeled negative. What are the factors of the polynomial? (x − 1) and (x 3) (x 1) and (x − 3) (x − 2) and (x 3) (x 2) and (x − 3).
Answer:
b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
[tex]J(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})\qquad K(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}}\implies \cfrac{3+5}{-6+4}\implies \cfrac{8}{-2}\implies -4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-4}(x-\stackrel{x_1}{(-4)})\implies y+5=-4(x+4)[/tex]
[tex]y+5=-4x-16\implies y=-4x\underset{\stackrel{\uparrow }{b}}{-21} \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Answer:
its -21 cus im asian and smart
Step-by-step explanation:
Someone please help quickly
A bucket of water of mass 15 kg is pulled at constant velocity up to a platform 40 meters above the ground. This takes 16 minutes, during which time 5 kg of water drips out at a steady rate through a hole in the bottom. Find the work needed to raise the bucket to the platform. (Use g=9.8m/s^2.)
Answer:
4900 J
Step-by-step explanation:
The average mass of water raised is ...
(15 kg +(15 -5) kg)/2 = 12.5 kg
The work done to raise it 40 m is ...
W = mgh = (12.5 kg)(9.8 m/s^2)(40 m) = 4900 J
Random error is: A. an outside influence that affects the true score in a consistent way. B. the extent to which a measure will produce the same results each time it is used. C. the extent to which a research method measures what it is intended to measure. D. unsystematic influence on the true score.
Which relation is a function? Help please
Answer:
The bottom right (v shaped one) is a function
Step-by-step explanation:
Hope this helps:)
Answer:
The one in the bottom right that is an absolute value function.
Step-by-step explanation:
You can use the "vertical line test" to determine whether a given graph is a function or not. If you can draw a straight, vertical, line anywhere and it intersects the graph more than once, then it is not a function. The one in the bottom right is therefore the answer.
I need to solve xy I am so confused please
Answer:
Step-by-step explanation:
In the question it’s given that : y=|x| => even if x will be a negative number,y will be positive.
1) -3 ; 3 ; (-3,3)
2) -2 ; 2 ; (-2,2)
3) -1 ; 1 ; (-1,1)
4) 0 ; 0 ; (0,0)
5) 1 ; 1 ; (1,1)
6) 2 ; 2 ; (2,2)
7) 3 ; 3 ; (3,3)
What is the sum of the measures of the interior angles of a 20-sided figure?.
Answer:
3240°
Step-by-step explanation:
The equation to find the sum of the measures of the interior angles of a figure is:
(n-2)*180
Where n represents the amount of sides the figure has. In this case the figure has 20 sides so its interior angles sum up to:
(20-2)*180=18*180=3240°
How many solutions does the following system of linear equations have?
6(x + 4) = 2(3x + 4)
6x + 24 = 6x + 8
Cancel equal terms
24=8
the statement is false(Ø)
Hi some one please help me
Answer:
There is no question.
Step-by-step explanation:
Find the value of x.
180 = 132 + x + x
180 - 132 = 2x
48 = 2x
x = 24⁰
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Let's use Angle sum property of a triangle ~
[tex]\qquad \sf \dashrightarrow \: x + x + 132 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x + 132 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x = 180 \degree - 132 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x = 48 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 48 \degree \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 24 \degree[/tex]
The area of a rectangle is calculated using the equation Area = length x width
What is the area of rectangle ABCD?
A. 6 Square Units
B. 441 Square Units
C. 21 Square Units
D. 49 Square Units
41 POINTS PLS HELP AND PLS GET IT RIGHT THX
The graph of a proportional relationship contains the point (20, 4) .
What is the corresponding equation?
Enter your answer as a fraction in the simplest form by filling in the boxes.
Answer:
Below :D
Step-by-step explanation:
Corresponding equation:
A relationship represents a proportional diagram.
So we can express it as, y/x=k
Answer= y 1/5x
substitute (20,4)
4= 20x/.
Divide both sides by 20.
so we have.
y=1/5x.
Answer:
[tex] \frac{y - y1}{x - x1} \\ \frac{y - 4}{x - 20} \\ m = \frac{y - 4}{x - 20} \\ 1 = \frac{y - 4}{x - 20} \\ x - 20 = y - 4 \\ - y = - x - 4 + 20 \\ - y = - x + 16 \\ \frac{ - y}{ - } = \frac{ - x}{ -} + \frac{16}{ - } \\ y = x - 16[/tex]
Please help me on math again
Answer:
0,100,0.5,20
Step-by-step explanation:
My answer got removed cause I didn't put an explanation... you just plug in the numbers to the equation.
i need help please can i have some help
Answer:
a) Rectangle:
Length = 12 cm
Breadth = 6 cm
Area = length × breadth
= 12 × 6
= 72 cm²
b) Triangle A:
Base = 3 cm
Height = 6 cm
Area = 1/2 × base × height
= 1/2 × 3 × 6
= 9 cm²
c) Triangle B:
Base = 3 cm
Height = 6 cm
Area = 1/2 × base × height
= 1/2 × 3 × 6
= 9 cm²
d) Parallelogram:
Base = (12 - 3) = 9 cm
Height (distance between two parallel sides – the ones you use as your base) = 6 cm
Area = base × height
= 9 × 6
= 54 cm²