Answer:
-16.15
Step-by-step explanation:
the variable in the equation means that it is ever changing, in this case, ever decreasing.
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In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?
Using the box plot, it is found that 200 is the median, that is 50% of the books had 200 or fewer pages.
What is a box plot?It is a plot that focuses the interquartile range of the population, that is, it gives:
The first quartile.The median.The third quartile.In this problem, they are given as follows:
The first quartile is of 175.The median is of 200.The third quartile is of 250.Hence, 50% of the books had 200 or fewer pages.
More can be learned about box plots at https://brainly.com/question/14277132
help!!!!!!!!!!!!!!!!!!!!!!
Answer:
8
Step-by-step explanation:
1) Which fractions are equivalent to 6/12? Choose ALL the correct answers.
12
Answer:
Infinite
Step-by-step explanation:
Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100
45th term of an arithmetic sequence having a=3 and d=8 is:
Answer:
a45 = 320
Step-by-step explanation:
The 45th term of the Arithmetic Sequence will be 355.
We have a Arithmetic Sequence with a = 3 and d = 8.
We have to determine the 45th term of this sequence.
What is the formula to calculate the nth term of an Arithmetic Sequence ?The formula to calculate the nth term of an Arithmetic Sequence is -
a(n) = a + (n - 1)d
a - first term of A.P.
d - Common difference of A.P.
n - position of term
According to the question -
a = 3
d = 8
n = 45
Then, using the formula to calculate the nth term, we get -
a(n) = a + (n - 1)d
a(45) = 3 + (45 - 1)8
a(45) = 3 + 44 x 8
a(45) = 3 + 352
a(45) = 355
Hence, the 45th term of the Arithmetic Sequence will be 355.
To solve more questions on Arithmetic Sequences, visit the link below-
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#SPJ2
Find the interest on a loan with Principal =
$1000, Rate = 6%, Time = 2 years
Answer:
changing the currency $ to #
$1000 = #415,640.00
i=prt (formular)
given:
I =?
p = $1000 or #415,640.00
r = 6%
t = 2 years
i= 415,640.00×6×2÷100
i= #49876.8
without changing currency
i= 1000×6×2÷100
i=120
Suppose you pay back $600 on a $550 loan. You had the loan for 105 days. What was your simple annual interest rate?
well, since we'll be assuming a year has 365 days, well, 105 days is really just 105/365 of a year, and since you paid back 600, that means the interest was 50 bucks, 600 - 550 = 50.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$50\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{105}{365}\dotfill &\frac{21}{73} \end{cases} \\\\\\ 50 = (550)(\frac{r}{100})(\frac{21}{73})\implies 50=\cfrac{11550r}{7300}\implies 50=\cfrac{231r}{146} \\\\\\ 7300=231r\implies \cfrac{7300}{231}=r\implies \stackrel{\%}{31.6}\approx r[/tex]
The cost of 5 pounds of apples is $12.45. What will be the cost of 12 pounds of apples if the
cost varies directly with the number of pounds purchased.
Edit View Insert Format Tools Table
Answer: 29.88
Step-by-step explanation: if 5 pounds = $12.45,
then 12 pounds = x
Therefore, Cross-multiply
5 x = 12 (12.45)
5x=149.4
x=149.4/5
x=29.88
Answer:
Step-by-step explanation:
Equation
Cost = k*weight
Givens
weight = 5 pounds
Cost = 12.45
12 pounds
Find k
Cost = k*weight
cost = 12.45
weigh = 5 pounds Substitute these values into the equation
12.45 = k * 5 Divide by 5
12.45 /5 = k*5/5
2.49 = k
Solve for 12 pounds
k = 2.49weight = 12 poundsCost = 2.49 * 12
Cost = 29.88
Answer
Cost = 29.88
log7(49)=2 in exponential form
Answer:
49 = 7²
Step-by-step explanation:
A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.
__
The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...
7² = 49
Brainliest! :)
The length of a rectangle is 1 ft more than twice the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.
Answer:
[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]
Step by step explanation:
[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]
Answer:
Length 10 ft.
Width 4.5 ft.
Step-by-step explanation:
If the width is x ft then the length is 2x + 1 ft.
Area = width * length, so:
45 = x(2x + 1)
45 = 2x^2 + x
2x^2 + x - 45 = 0
2x^2 + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9)(x + 5) = 0
x = 4.5, -5.
So x = 4.5 ( as the width cannot be negative).
Therefore the dimenions of the rectangle are
width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.
On a coordinate plane, 2 lines are parallel to each other. This system of equations has
Answer:
no solution
Step-by-step explanation:
This is because they never intersect so there is no solution.
Answer:
no solution
Step-by-step explanation:
2 (b) The area of a rectangular window is 6272 cm cm? If the length of the window is 98 cm, what is its width?
Answer:
The width would be 64 cm
Step-by-step explanation:
Because the equation to find area is length times height
Since you have the area and the length, divide the area by the length to find the width
I hope this helps!
ANSWER THE FOLLOWING:
Step-by-step explanation:
2. since there are 15 shirt
the probability of her wearing a blue shirt is 5/15
the probability of her wearing a blue shirt is 4/15
un camion se encuentra del lado izquierdo del cero del sistema de referencia, es decir, desde una posicion negativa de -2 km, como el conductor va buscando pasaje se mueve muy lentamente a una velocidad de 10 km/h? escribe la ecuacion horaria.
Veremos que la ecuación que describe el movimiento del camión es:
f(t) = -2km + (10km/h)*t
¿Como encontrar la ecuación de movimiento del camión?Primero debemos recordar la relación:
distancia = velocidad*tiempo.
Entonces, podemos escribir la pocición del camión como:
f(t) = pocición inicial + velocidad*t
Donde t es el tiempo en horas.
Sabemos que:
posición inicial = -2kmvelocidad = 10km/hReemplazando eso obtenemos:
f(t) = -2km + (10km/h)*t
Esta es la ecuación de movimiento del camión.
Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:
https://brainly.com/question/19365526
Given that 5 miles is 8 km, convert 17.8 miles to km.
Answer:
[tex]28km[/tex]
Step-by-step explanation:
[tex]5miles = 8km[/tex]
[tex]17.8miles = x[/tex]
[tex] \frac{17.8}{5} \times 8km[/tex]
[tex]x = 28km[/tex]
Company A has three times as many customers as company B. Company C has 10 customers more than company B. Let x represent the number of customers held by company B. What is the expression that represents the total number of customers held by all three companies?
The expression that represents the total number of customers held by all three companies is 5x + 10
System of equationSystems of equations are made of several equations with unknown variables.
Let the amount of customers company B has be x
If Company C has 10 customers more than company B, then the total customers for company B is x + 10
If Company A has three times as many customers as company B, the total customers for company A is 3x
Total customers = x + 10 + x + 3x
Take the sum
Total customers = 5x + 10
Hence the expression that represents the total number of customers held by all three companies is 5x + 10
Learn more on system of equation here: https://brainly.com/question/847634
how to solve 3x+4y=36
y=-1/2x+8
Answer:
x = 4
y = 6
Step-by-step explanation:
3x + 4y = 36 ⇒ ( 1 )
y = - 1/2x + 8 ⇒ ( 2 )
( 2 ) × 2
2y = -x + 16 ⇒ ( 3 )
2y + x = 16
x = 16 - 2y ⇒ ( 4 )
Let us replace x with ( 16 - 2y ) and the value of y.
For that, let us use the equation (1).
3x + 4y = 36
3 ( 16 - 2y ) + 4y = 36
48 - 6y + 4y = 36
48 - 2y = 36
48 - 36 = 2y
12 = 2y
Divide both sides by 2.
6 = y
Now let us replace y with 6 and find the value of x.
For that let us use equation 4.
x = 16 - 2y
x = 16 - 2 × 6
x = 16 - 12
x = 4
Find the area of this triangle
Answer:
22
Step-by-step explanation:
22 is the area of the given traingle
Solve the following equations
|3x-4(x+1)|=2
Answer:
x = -6 or x = -2
Step-by-step explanation:
|3x-4(x+1)|=2
Simplify inside the absolute value by distributing
|3x-4x-4|=2
Combine like terms
|-x-4|=2
Now separate into two equations, one positive and one negative
-x-4 = 2 or -x-4 = -2
Add 4 to each side
-x-4+4 = 2+4 or -x-4 = -2+4
-x = 6 or -x =2
Multiply by -1
x = -6 or x = -2
please help me Find the value of x
Answer:
x=3
Step-by-step explanation:
3x+1+15
/2
= 12.5
the dot plot below shows the number of books read during one month by students in the sixth grade at Ledbetter middle school.Each dot plot represents one student
Answer:
Bedwetter middle school? Also where is dot plot
Step-by-step explanation:
3/2 times 6/2 times 2
Answer:
9
Step-by-step explanation:
3/2x6/2=18/2 Simply that and it turns to 9.
Answer:
9
Step-by-step explanation:
3*6*2 = 36
2*2 = 4
36/4 = 9
I multiplied the numerators together and the denominators together.
PLEASE RATE!! I hope this helps!!
Spencer divided his baseball cards equally among 4 friends. Each friend received 16 cards. To find the number of cards c that Spencer had originally, he solved the equation Ask Your Teacher. How many baseball cards did Spencer originally have?
Answer:
64 cards
Step-by-step explanation:
16*4 = 64
Answer:
64!!
Step-by-step explanation:
Reason? If spencer devided amongst all of his friends of 4, and they all recieved a total of 16, then you work backwards! 16*4=64! Or, just do the amount they got, 16, and multiply by the number of friends, 4, and you should get the answer!!
Hope this helps! (brainliest please)
Can someone help me do these i don't understand them?
Answer:
they are extension in computer
kirsty and Flo are raising money for charity; Kirsty raises /ive times as much as Fio, Tiesa
amount they raise is £172.50. How much do they each raise?
THANK U
Answer:
Kirsty raised £143.75 and Flo raised £28.75
Step-by-step explanation:
x = money raised by Flo
5*x = money raised by Kirsty
6*x = money raised together
6x = £172.50
Now divide each side by 6:
x = £172.50:6
x = £28.75 (money raised by Flo)
£172.50-£ 28.75 = £143.75 (money raised by Kirsty)
Kirsty raised £143.75 and Flo raised £28.75
$600 invested at 6% compounded annually for six years
Answer:
The final balance is $851.11.
The total compound interest is $251.11.
Step-by-step explanation:
can i get the answer with work?
Answer:
Step-by-step explanation:
D
Answer: 15
Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15 = 9 gamesSo prediction for whole season = 6+9 = 15 games.
Step-by-step explanation:
The diagram represents the factorization of a2+8a+12.
A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12.
What is the missing number that will complete the factorization?
6
8
12
24
Answer:
The answer is 6
Step-by-step explanation:
Answer: 6
Step-by-step explanation: took the quiz
What is a[tex]\frac{1}{3}[/tex] As a ratio?
can please someone help me with more of these asap
Answer: 75.36
Step-by-step explanation: Lenght of arc=2nr
=2nx12in
=75.36
lenght of arc of sector=120/360x75.36
=25.12
Find the circumference.
Use 3.14 for π.
r = 2m
C = [?] m
C=πd
circumference = 12.57m
hope it helps...!!!