Answer: 15.
Step-by-step explanation: To find the slope, you need to use rise/run which is done below if you need a visual look at what I'm saying. Before we use rise/run, we need two points on the line. We'll use (2, 80), and (6, 140). We need to go 60 up and 4 to the right to make the points meet. Going up or down is the rise and left or right is the run. Our rise/run is 60/4 or 15 when you divide. Therefore, 15 is your slope for this equation of a line.
Have a great day! :)
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.
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]
Express (x+9)^2 as a trinomial in standard form.
Answer:
x^2 + 18x + 81
Step-by-step explanation:
(x+9) (x+9)
then distributive property
[tex](x+9)^2\\\\=x^2 + 2\cdot 9 \cdot x + 9^2\\\\=x^2 +18x+81[/tex]
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
1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?
A) Replace 3 with -3.
B) Replace x with -x.
C) Add -6 to the right side.
D) Replace x with -x and subtract 6 from the right side.
Using the concept of y-intercept, it is found that the response that is not correct is given by:
B) Replace x with -x.
What is the y-intercept of a function?It is the value of the function when x = 0, hence it is the point (0, f(0)).
In this problem, the function is:
[tex]f(x) = 3(2)^x[/tex]
The y-intercept is given by:
[tex]f(0) = 3(2)^0 = 3[/tex]
If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.
More can be learned about y-intercepts at https://brainly.com/question/24737967
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
How much pound sterling can be obtained while exchanging NRs250000 paying 2% commission?
(Buying rate: 1 pound=NRs 148.96) (Selling rate: 1 pound=NRs 149.74)
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
HELPPP PLSSSS THE PYTHAGOREAN THEOREM
Answer:
Step-by-step explanation:
a²+b² = c² c is always the longest line thats opposite to the 90 degree angle
for 1
15² + b² = 17²
b² = 17² - 15²
b = √(17² - 15²)
b= 8
please help me Find the value of x
Answer:
x=3
Step-by-step explanation:
3x+1+15
/2
= 12.5
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!!
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:
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
help!!!!!!!!!!!!!!!!!!!!!!
Answer:
8
Step-by-step explanation:
How many centimetres are there in 1.6 metres?
Which point would be a solution to the system of linear inequalities shown below?
Answer: (-4, -6)
Step-by-step explanation:
Solving by graphing
[] See attached
() The only point in the required range is point (-4, -6)
Solving by plugging-in
I will figure out what the correct option is by plug them into the first equation. Since only one of these options is true, I do not need to do the second equation.
[✗] Let's check point (4, 10)
() 10 < (1/4)4 - 4
10 < 1 - 4
10 < -3 is false, so this answer is incorrect
[✗] Let's check point (-4, 5)
() 5 < (1/4)-4 - 4
5 < -1 -4
5 < -5 is false, so this answer is incorrect
[✗] Let's check point (-4, -4)
() -4 < (1/4)-4 - 4
-4 < -1 -4
-4 < -5 is false, so this answer is incorrect
[✓] Let's check point (-4, -6)
() -6 < (1/4)-4 - 4
-6 < -1 - 4
-6 < -5 is true, so this answer is correct
what is 2pi*4^2 + 2pi*4*4
~giving brainliest!~
Answer:
[tex]64\pi[/tex]
Step-by-step explanation:
[tex]2\pi {(4)}^{2} + 2\pi \: 4 \ast4 \\ \\ = 2\pi \ast16 + 2\pi \ast16 \\ \\ = 32\pi + 32\pi \\ \\ = 64\pi[/tex]
Answer:
64π
Step-by-step explanation:
2π(4²) + 2π(4)(4) <== exponents first
2π(16) + 2π(16) <== multiply
32π + 32π <== add
64π <== final answer
Note: 4 * 4 can also be written as 4²
Hope this helps!
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:
Find the circumference.
Use 3.14 for π.
r = 2m
C = [?] m
C=πd
circumference = 12.57m
hope it helps...!!!
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
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
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
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!
Solve the system of linear equations. separate the x- and y- values with a coma. -5x+6y=33 -18x+4y=-22
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-
https://brainly.com/question/19828148
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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
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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
What is a[tex]\frac{1}{3}[/tex] As a ratio?
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]
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: