Answer:
x = 2
Step-by-step explanation:
141x + 50 + 4x = 340
=> 145x + 50 = 340
=> 145x = 290
=> x = 2
Hoped this helped.
Simplify both sides of the equation
141x+50+4x=340(141x+4x)+(50)=340(Combine Like Terms)145x+50=340145x+50=340Subtract 50 from both sides
145x+50−50=340−50145x=290Divide both sides by 145
[tex] = > \frac{145x}{145} = \frac{290}{145} [/tex]
x=2
Ans-x=2
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.
The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
In first swing = 10 m
In second swing = (9/10)10 m = 9 m
In the second swing = (9/10)9 =81/10
10, 9, 81/10,..
This is the geometric sequence with the first term being 10 and the common ratio being 9/10.
a = 10
r = 9/10
The sum of geometric sequence up to 25th terms:
S = a(1 - rⁿ)/(1 - r)
S = 10(1 - (9/10)²⁵)/(1 - 9/10)
S = 92.82 m
Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ5
Solve the equation -10(g - 6) = 65.
Answer:
g = -1/2
Step-by-step explanation:
-10(g - 6) = 65
Distribute
-10g +60 = 65
Subtract 60 from each side
-10g+60-60 = 65-60
-10g = 5
Divide by -10
-10g/-10 = 5/-10
g = -1/2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-10(g - 6) = 65}\\\\\rightarrow\large\textsf{-10g + 60 = 65}\\\\\large\text{SUBTRACT 60 to BOTH SIDES}\\\\\large\textsf{-10g + 60 - 60 = 65 - 60}\\\\\large\text{CANCEL out: 60 - 60 because that gives you 0}\\\\\large\text{KEEP: 65 - 60 because that helps you solve for your g-value}\\\\\large\textsf{65 - 60 = \bf 5}\\\\\large\text{DIVIDE -10 to BOTH SIDES}\\\\\mathsf{\dfrac{-10g}{-10}=\dfrac{5}{-10}}\\\\\large\text{CANCEL out:: }\mathsf{\dfrac{-10}{-10}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{5}{-10}}\large\text{ because that gives you the g-value answer}\\\\\large\textsf{g = }\mathsf{\dfrac{5}{-10}}\\\\\large\textsf{g =}\mathsf{\dfrac{5\div5}{-10\div5}}\\\\\large\textsf{g = }\mathsf{\bf - \dfrac{1}{2}}\\\\\\\\\boxed{\boxed{\large\textsf{Therefore, your answer is: g = }\mathsf{- \bf \dfrac{1}{2}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Please whoever knows they can solve this, help me!
I have attached the questions down below. Please add diagrams if the questions permit you to do so. I will be marking the brainiest. Thanks.
ANYONE??
Candy counted to 600 by 6's, beginning with 6. Danny counted to 600 by 4's beginning with 4. How many the numbers that candy counted were also counted by Danny?
Step-by-step explanation:
If we count for both numbers up to 36, we start seeing a pattern...
Candy: 6 12 18 24 30 36
Danny: 4 8 12 16 20 24 28 32 36
Every other number in Candy's counting is also counted by Danny. So here's what we'll do:
Divide 600 by 6600/6 = 100
This is how many numbers Candy counted overall.
Divide the result by 2.100/2 = 50
This is how many numbers Danny counted that were also numbers Candy counted.
Answer:
50 of the numbers that candy counted were also counted by Danny.
Answer:
50
Step-by-step explanation:
Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form or standard form. Express numbers as integers or simplified fractions.
The line passes through the point (-6, -2) and has a slope of 9.
Step-by-step explanation:
Given the following configurations, the followed may be constructed and fabricated into the following:
Point-Slope Form:
Point: (-6, -2).
Slope: 9
Y - y1 = m(x - x1)
Y + 2 = 9(x + 6)
Y + 2 = 18x + 48
Y = 18x + 46 <== Slope-Intercept Form.
-18x + y = 46 <== Standard (General) Form.
Thus, the ameliorated answer, subject to the proposed interrogated is identified as Y = 18x + 46, whom is the Slope-Intercept Form format, as well as -18x + y = 46, whom is, likewise, identified as the Standard (General) Form.
*I hope this helps.
Answer:
Given the following configurations, the followed may be constructed and fabricated into the following:
Point-Slope Form:
Point: (-6, -2).
Slope: 9
Y - y1 = m(x - x1)
Y + 2 = 9(x + 6)
Y + 2 = 18x + 48
Y = 18x + 46 <== Slope-Intercept Form.
-18x + y = 46 <== Standard (General) Form.
Thus, the ameliorated answer, subject to the proposed interrogated is identified as Y = 18x + 46, whom is the Slope-Intercept Form format, as well as -18x + y = 46, whom is, likewise, identified as the Standard (General) Form.
*I hope this helps.
Step-by-step explanation:
50 POINTS
My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is 1/16 of a mile. How much shorter would my trip be if I could fly like a bird (that is, travel in a straight line)?
I FOUND THE distance for non bird which is 9/16. I wanna apply the pythagoreum theorum and draw a straight line to make it a triangle so I can do so but don't know where to place it
Si a cero se le resta cualquier número entero el resultado siempre es el
mismo número, pero con signo positivo.
Please comment this in english.
Please help with these two problems and give an accurate explanation. Thank you!
The domain is all of the x-values a function can have. The range is all of the y-values a function can have.
#50.
Domain: [-5, 10]
---The function starts at the x-value -5 and stops at the x-value 10.
Range: [-3, 5]
---The smallest y-value is -3 and the largest y-value is 5.
#51.
Domain: [-2, infinity)
---The function starts at the x-value -2 and has an arrow to indicate that it goes on forever.
Range: [0, infinity)
---The smallest y-value is 0 and an arrow indicates that the functions goes up and on forever.
Hope this helps!
There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library?
Answer:
7.1
Step-by-step explanation:
6 children with an average age of 5 = 6*5 = 30 so the sum of their ages is 30
20 - 6 = 14
14 children have an average age of 8 14*8 =112 so the sum of their ages is 112
Add the two sums
30+112 = 142
Divide by the total number of children
142/20 =7.1
The average age of all the 20 children is 7.1
Answer: 7.1
Step-by-step explanation:
Fill in the blanks to complete the steps and solve the equation in the image attached.
S is being divided.
What is the opposite of subtracting 5?
Move 5 to the right side.
It is being divided by 6. What is the inverse of dividing by 6.
Multiply each side by 6.
Hope this helps!! :)
Rewrite 18y • 4x using the commutative property.
Answer:
(1)18y x 4x(1)
Step-by-step explanation:
Hey! Can anybody help? I’m stuck on this question
Greshak Corp. reports the following revenues:
2015 $10,000,000
2016 $11,250,000
2017 $12,500,000
2018 $13,500,000
2019 $12,750,000
2020 $12,900,000
What was Greshak’s compound annual growth rate (CAGR) in revenues over the 6-year period 2015 through 2020?
Answer
around 10%
Step-by-step explanation:
Solve the word problem in the picture attached
Can anyone please help?
Answer:
see below
Step-by-step explanation:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Answer:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Step-by-step explanation:
Write the equation (in point-slope form) for the line parallel to y = x + 4 and passes
through (5, -2).
Answer:
[tex]y = x-7[/tex]
Step-by-step explanation:
Step 1: Write the equation in point-slope form
Point Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
Plug in the numbers and solve
[tex]y - (-2) = 1(x - 5)[/tex]
[tex]y + 2 = x - 5[/tex]
[tex]y + 2 - 2 = x - 5 - 2[/tex]
[tex]y = x-7[/tex]
Answer: [tex]y = x-7[/tex]
The arc length of the shaded part of the circle is 5 pi inches. What is the circumference of the entire circle? Express the answer in terms of Pi. A circle. The shaded sector has an angle measure of 45 degrees. Recall the formula StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction. 10 pi inches 15 pi inches 40 pi inches 45 pi inches
Answer:
Can we have a picture please? That would help a lot! Thanks!~
Step-by-step explanation:
explain how to find the difference between 9^10/9^11 and 9^11/9^10
Answer:
jhv
Step-by-step explanation:
kjbb
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table
Answer:
7(top left) 5(top right)
6(bottom left) 0(bottom right)
Answered by GAUTHMATH
Find the slope of the line that passes through the points A(–3, 1) and B(2, –5).
PLZ ANSWER ACCURATELY AND QUICKLY WILL MARK BRAINLIEST
Answer:
- 6/5
Step-by-step explanation:
To find the slope
m = ( y2-y1)/(x2-x1)
= ( -5-1)/(2- -3)
= (-5-1)/(2+3)
- 6/5
Answer:
-6/5 or -1 1/5
Step-by-step explanation:
The formula to find the slope with any 2 points of a line is rise/run, or
(y2-y1)/(x2-x1)
In this case, y2 is -5, y1 is 1, x1 is -3, and x2 is 2.
So, the slope is:
(-5-1)/(2-(-3))
-6/5 which, as a mixed number, is -1 1/5.
You can also graph out the points on a coordinate plane, draw the line between the points, and count the rise/run, but that might take a minute or two, which is not the best if you have a timed test.
The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?
Answer:
1/2 pound for each dog.
Step-by-step explanation:
Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?
You want the units to be pounds per dog or pounds/ number of dogs.
The numerator is 6.5
The denominator is dogs (13)
Food per dog = 6.5 / 13 = 1/2
What is the Tenth COMMON FACTOR of 6 and 9? (DO NOT respond with the LCM of 6 and 9)
math problem i will give brainliest
Answer:
19.5
Step-by-step explanation:
HELP ASAP! PLSS! 1 over 3b = 4 over 5. Which of the following equals b in this equation?
22 over 5
11 over 8
2 over 5
1 over 4
There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of
On a coordinate plane, a curved line with a minimum value of (0.6, 2.5) and a maximum value of (negative 1.2, 18.3), crosses the x-axis at (negative 1.8, 0) and crosses the y-axis at (0, 5).
What is x when f(x)=0?
-1.8
-1.2
0
5
Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3
Answer: um
Step-by-step explanation:
given m=-2 and y intercept (0,-2) find the equation of the line in standard form.
Answer:
the answer is -2x-y=2
Step-by-step explanation:
Ax+By=C
y=mx+b
y=2x-2
-2x-y=2
Answer:
y=−2x−2
Step-by-step explanation:
William has a 26-liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. If he uses 85 marbles, he will have to add 20.9 liters of of water.
What is the volume of each marble?
How much water is necessary if William uses 200 marbles?
Answer: 0.06/marble | 14 liters
The volume of the marbles is 26-20.9 = 5.1 l and there ar e85 marbles
5.1/85 = .06 l/marble
then 200 marbles would requrie .06 l/marble x 200 marbles = 12 liters
so he would only need 26-12= 14 liters of water to fill the tank !
Answer:
14 marbles
Step-by-step explanation:
Please answer these two question please please I need helpppppp
Answer:
Step-by-step explanation:
10.
a. y=30x + 50
b. 30(2.5)+50= 125
c. y= 60x+100
d. 60(2.5)+100= 250
Answer:
10)
a) y = 50+30x
b) y=50+30(2.5)
50+75 = 125
c) y = 2(50+30x)
d) y=2(50+30(2.5))
2(50+75)
2(125) = 250
13)
a) P = 2 ( L + W )
10x+2
b) A = W L
5x+1
c) for A its 15x+3 and for B its 54 x 2 + 18 x
