The value of a collectible coin can be represented by the equation y = 2 x + 9.74, where x represents the number of years that Consuello has owned the coin and y represents the total value, in dollars, of the coin. What was the value of the coin when Consuello originally purchased it? $4.87 $7.74 $9.74 $19.48
Answer:
you would multiply 2 * 4.87 and then add that to 9.74 and then you do that to everyone and then one of them will get you your answer and I am not sure about the answer but I think its b
Step-by-step explanation:
Answer:
The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C
Step-by-step explanation:
The form of the linear equation is;
y = m x + b, where
m is the slope of the line (The rate)
b is the y-intercept (initial amount, value y at x = 0)
∵ The value of a collectible coin can be represented by the equation
y = 2 x + 9.74
→ Compare it with the form of the linear equation above
∴ m = 2
∴ b = 9.74
∵ x represents the number of years that Consuelo has owned the coin
∵ y represents the total value, in dollars, of the coin
→ That means the value of y at x = 0 is the value of the coin when
Consuelo originally purchased it
∵ b represents the value of y at x = 0
∵ b = 9.74
∴ The value of the coin when Consuelo originally purchased it is $9.74
Which equation justifies why 7^1/3 = 3 square root 7?
Answer:
c
Step-by-step explanation:
I took the test and got it right
The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.
C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.
Let's break down the steps:
Seven to the one-third power all raised to the third power:
[tex](7^{(1/3)})^3[/tex]
Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:
[tex]7^{(1/3 * 3)[/tex]
The exponent 1/3 multiplied by 3 is equal to 1:
[tex]7^1[/tex]
Any number raised to the power of 1 is itself, so:
7
This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.
Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.
To learn more on exponent number click:
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In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars? A. 150 red bar's B. 199 red bars c.201 red bars d. 267 red bars
Step-by-step explanation:
4 green bars to 3 red bars
=> 200 green bars to 3 * (200/4) = 150 red bars.
There are 150 red bars. (A)
Answer:
Step-by-step explanation:
A - 150 is the a answer
4 green bars for every 3 red bars, take 3 red bars as one bucket so total we have 200/4 buckets which is 50
now 1 bucket has 3 green bars so total we have 3* 50 buckets which is 150
One British pound was worth 1.5761 Canadian dollar.If a hotel room coat 126 pounds,what must be paid in Canadian dollars.
Answer:
198.5886 or technically 198.58 or 198.59 because you can't have a decimal of a penny.
Step-by-step explanation:
One British pound was worth 1.5761 Canadian dollar, meaning that every pound needed is worth 126 Canadian dollar.
That means you can multiply 1.5761 by 126 to get the Canadian dollar price.
126 x 1.5761 = 198.5886
198.5886 is the Canadian price
2) A big league pitching coach tries to limit his pitchers to 110
pitches per game. If the pitcher has already thrown 52
pitches, write and solve an inequality to find how many more
pitches he can throw before reaching the limit.
Answer:
x<58 the< with line under the pitcher can throw 58 or less pitches
Step-by-step explanation:
PLS HELP!!
Pls help it’s due today!!!!
Answer:
the last on bottom right :)
Step-by-step explanation:
Answer:
D (bottom right)
Step-by-step explanation:
y - intercept is 7 and slope is 3
Hope this helps. Pls give brainliest.
Josh runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
6 / 55 = x / 44
44*6/55= x
x = 4.8 miles
Step-by-step explanation:
A roofing contractor has 29 bundles of roofing shingles that he needs to carry up a ladder and put onto a roof he carries two bundles at a time how many bundles are still on the ground after his seventh trip up the ladder
Answer:
15 bundles of roofing shingles
Step-by-step explanation:
Total bundles of roofing shingles = 29
He carries two bundles at a time
How many bundles are still on the ground after his seventh trip up the ladder?
First trip = 2 bundles of roofing shingles
Second trip = 2 bundles of roofing shingles
Third trip = 2 bundles of roofing shingles
Fourth trip = 2 bundles of roofing shingles
Fifth trip = 2 bundles of roofing shingles
Sixth trip = 2 bundles of roofing shingles
Seventh trip = 2 bundles of roofing shingles
Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2
= 14 bundles of roofing shingles
Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips
= 29 - 14
= 15 bundles of roofing shingles
Find the amount to be paid at the end of 6 months on rupee 1800 at 8% per annum compounded quarterly. Plz give me with all the steps and ill mark uh as brainliest
Answer:
The amount to be paid is rupee 1872.72
Step-by-step explanation:
Compound Interest
It occurs when interest in the next period is earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The initial amount is P=1800 at r=8% = 0.08 during t=6 months (t=0.5 years) compounded quarterly. There are 4 quarters in a year, thus n=4.
Calculating A:
[tex]\displaystyle A=1800\left(1+{\frac {0.08}{4}}\right)^{4*0.5}[/tex]
[tex]\displaystyle A=1800(1.02)^{2}[/tex]
A = 1872.72
The amount to be paid is rupee 1872.72
sec^4A+ tan^4A = 1 + 2tan^2A sec^2A
please help me solving it
Answer:
true
Step-by-step explanation:
sec^4A-2tan^2Asec^2A+tan^4A=1
(sec^2A-tan^2A)^2=1
1^2=1
which is true
What type of triangle is this?
A. Right
B. Equilateral
C. Isosceles
D. Scalene
Answer:
It's an Equilateral triangle
Step-by-step explanation:
This is because of the fact that all of its sides are equal
Answer:
Equilateral Triangle
Step-by-step explanation:
All sides are equal (60 degrees) so it is an equilateral triangle
Passes through (8,8) and (10,9)
Plz help need answer ASAP
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
Assuming you require the equation of the line.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)
m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 8) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line
Lola gets two 20-minute breaks at work each day. She works 5 days a week. How much time does she spend on break each week?
Group of answer choices
Answer:
200 minutes / 3 hours & 20 minutes.
Step-by-step explanation:
This is quite simple.
First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.
20 × 2 = 40
This means she is on break for a total of 40 minutes each day.
Finally, let's take that 40 and multiply it by 5.
40 × 5 = 200
This means she spend 200 minutes (3 hours & 20 mins) on break each week.
What dos soy sux mean??
Answer:
Gay.
Step-by-step explanation:
I means gay, some people just refer to that but most commonly known as 'gay'.
please please please help!! i’ll mark the brainliest and give 15 points!!!!
9514 1404 393
Answer:
-108
Step-by-step explanation:
About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.
[tex]a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}[/tex]
_____
Alternate solution
You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...
[tex]a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}[/tex]
Then the 4th term will be ...
[tex]a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108[/tex]
Identify the initial amount and the growth rate of the following:
Y = 250 (1+0.2)
Answer:
y = 300
Step-by-step explanation:
y = 250 (1+0.2)
First add the 1 and 0.2
y=250(1.2)
multiply 250 with 1.2
y = 300
:)
For the month of march, Kasey plans to vacuum her floor every fourth day and clean her bathroom every seventh day if she begins this march 1, on what day of the month will she do both jobs?
Answer: March 28
Step-by-step explanation:
Solve for this by checking for the lowest common multiple of 7 and 4.
Multiples of 7: 7, 14, 21, 28, 35
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32
Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.
An animal park has lions tigers and zebras.20% of the animals are lions and half the animals are zebras.If there are 120 animals at the park , how many tigers are there?
Answer:
40
Step-by-step explanation:
20% of 120 which is 24 are lions
half of the animals which is 120 ÷ 2 is 60 for the zebra
therefore, 60+24 is 84
120 - 84 is 36
The graph shows the solution of a system of equations.how many solutions does it have
Answer:
1
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
We will have 1 solution set when the lines cross once.
We will have no solutions when the lines are parallel.
We will have infinite solutions when the lines are the same.
According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.
Answer:
1
Step-by-step explanation:
X varies directly with y. If x is 24 when y is 36, find x when y is 132.
equation:_________
x=_________
Step-by-step explanation:
x = ky, where k is a real constant.
When y = 36, x = 24.
=> (24) = k(36), k = 2/3.
Hence x = (2/3)y.
When y = 132, x = (2/3)(132) = 88.
Answer:
see explanation
Step-by-step explanation:
Given x varies directly with y then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 24 when y = 36, then
36 = 24k ( divide both sides by 24 )
1.5 = k
y = 1.5x ← equation of variation
When y = 132, then
132 = 1.5x ( divide both sides by 1.5 )
x = 88
the following box plot shows the number of hours students have spent of math this week. what information can you get from this?
a. the median number of hours spent on Math was about 2.9
b. the mean number of hours spent on Math was about 3.4
c. No students spent less than 2.27 hours on Math
d. All students spent between 2.27 and 4.54 hours on math
Answer:
A. the median number of hours spent on Math was about 2.9
Step-by-step explanation:
The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.
The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.
The given box plot shows the number of hours students have spent on math this week.
How to find the median in the box plot?The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.
Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.
The vertical line represents the median, which is 2.9.
Therefore, option A is the correct answer.
To learn more about the plot box visit:
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A bag contains 3 blue, 4 red and 3 yellow marbles. How many blue marbles must be added to the bag for it to contain 75% blue marbles?
Answer:
18
Step-by-step explanation:
Note that 75% = 75/100 = 3/4, so 3/4 of the marbles must be blue. Let x be amount of blue marbles added. We can write an equation using this.
75% = 3/4 = (3 + x blue marbles)/(3 + 4 + 3 + x total marbles) = (3+x)/(10+x)
Multiplying by 4(10 + x) on both sides:
3(10 + x) = 4(3+x)
30 + 3x = 12 + 4x
18 = x
Therefore, we must add 18 blue marbles for 75% of the marbles to be blue.
I hope this helps! :)
There are 5 roses in a vase of 11 flowers,the rest are daisies
what is the ratio of roses to daisies
In the notation "s(X) = ...," what does "s(x)" represent?
A.
The value of s(x) depends on the value of x, since s is a function of x.
B.
The value found when sis multiplied by the value x.
С.
There is not enough information to answer this question.
D.
The value of x depends on the value of s(x), since x is a function of s.
Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.
The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.
Answer: A. The value of s(x) depends on the value of x, since s is a function of x.
Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.
heeelp will give brainliest
Starter
Question 1: Simplify each of the following
(a) y + y + y + y
(b) w+W+W+W + W
(c) a + a + a + a + a + a
(d) 5+$+
(e) nun
Og+ 8 + 8 + g-8
(g) y + y + y + y - y - y
(h) + p-p-p
(1) 3y + 2y
0) 4a + 3a
(k) 9k + 5k
("m+ m
(m) 150 - 200
(n) 6w - 3w
(0) 10y + 3y - 5y
(p) 20 - 140
Answer:
a)y^3
o)7a^2
I know only that
Mr. Brown sold his house through real estate agent to whom he paid a commission of 7% of the sale price. Lf the sale price of the house was $90,500, how much commission did Mr. Brown pay?
Answer:
The commission is $6335
Step-by-step explanation:
Step one:
given
The sale price of the house was $90,500
the commission is 7% of the sale price
Required
The amount of the commission
Step two:
the amount of the commission can be calculated as follows
[tex]=7/100*90500\\\\=0.07*90500\\\\=6335[/tex]
grams of fish
number of calories
1000
2001
Enter the missing values in the boxes below.
b=0
Answer:
♂️ but if you know please answer
Answer:
12344567891011121314151617181920
Step-by-step explanation:
12344567891011121314151617181920
Does anyone knows how to solve this?
Answer:
This is the answer do it fast. Ok
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 8x + 13 ← is in standard form
with a = 1 and b = - 8 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4
Substitute x = 4 into the equation for corresponding value of y
y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3
Vertex = (4, - 3 )
The axis of symmetry is a vertical line passing through the vertex with equation
x = 4 ← equation of axis of symmetry
To determine direction of opening
• If a > 0 then graph opens up
• If a < 0 then graph opens down
Here a = 1, thus graph opens up
Enter the x coordinate of the solution to this system of equations.
- 2x + y = 5
– 5x + y = – 4
Answer:
x = 3
Step-by-step explanation:
Given the 2 equations
- 2x + y = 5 → (1)
- 5x + y = - 4 → (2)
Multiply (2) by - 1 then add to (1) to eliminate y
5x - y = 4 → (3)
Add (1) and (3) term by term to eliminate y
3x = 9 ( divide both sides by 3 )
x = 3