Answer:
x = 24
Step-by-step explanation:
(6x + 5) = 149
6x + 5 = 149
6x = 149 - 5
6x = 144
x = 144 / 6
x = 24
Answer:
x=24
Step-by-step explanation:
This is a linear equation.
(6x+5)=149
Collect like terms by placing the +5 after the equality sign, which will make it become -5
6x=149-5
6x=144
Divide both sides by 6
6x/6=144/6
x=144/6
x=24
We can go further to check, if we are correct by substituting x with 24 in the equation. And then both sides of the equation must be the same
(6x+5)=149
6(24)+5=149
144+5=149
149=149
multiply 72 x 25/100
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
find the equation of the tangent to the curve at x=3 for parametric equations
x = t + 1/t
y = t^2 + 1/(t^2) when t is greater than 0
Answer:
y = 6x − 11
Step-by-step explanation:
x = t + (1/t), y = t² + (1/t²)
If we square x:
x² = t² + 2 + (1/t²)
x² = y + 2
When x = 3, y = 7.
Taking derivative with respect to time:
2x = dy/dx
dy/dx = 6
So the equation of the tangent line is:
y − 7 = 6 (x − 3)
y − 7 = 6x − 18
y = 6x − 11
3200 dollars is placed in an account with an annual interest rate of 8.25%. To the nearest tenth of a year, how long will it take for the account value to reach 9600 dollars?
Answer:13.9
Step-by-step explanation:
Using the compound interest formula, it will take approximately 14.9 years for an account with a $3,200 initial deposit and an 8.25% annual interest rate to grow to $9,600.
Explanation:To find out how long it will take for an account with an initial value of $3,200 and an annual interest rate of 8.25% to grow to $9,600, we can use the future value formula for compound interest:
The formula is FV = PV (1 + r)^n, where:
FV is the future value of the money after n years,PV is the present value or initial amount (which is $3,200),r is the annual interest rate (which is 0.0825), andn is the number of years.To find n when FV is $9,600, we rearrange our formula to solve for n:
n = log(FV / PV) / log(1 + r)
Now, plug in the values:
n = log(9600 / 3200) / log(1 + 0.0825)
n = log(3) / log(1.0825)
n ≈ 14.9 years
So, it will take approximately 14.9 years for the account value to reach $9,600.
Evaluate 60 • x-60 · 15, when x=8.
Step 1 60• x-60 • 15 = 60(x - 15)
Step 2
Step 3
= 480 – 15
Step 4
465
Where is the error
Answer:
The right answer is, -420
Step-by-step explanation:
Because we use common factor:
60 (x - 15)
We multiply for each term:
60 (x) - 60 (15)
60 (8) - 60 (15)
We solve:
480 - 900 = -420
help please, ive been sitting on this chair for 2 hours
Answer:
Step-by-step explanation:
We need to analyze the surface
Look at the L shape, it has a mirror image at the back, which is symmetrical to the front side
Then,
area of rectangle = length × breadth
The L shape can be divided into two plane shape
1. A rectangle of length 10in and breadth 6in,
Then, A=l×b=10×6 = 60in²
2. To a square of side a=4in
Then, A=s²=4²=16in²
Then, the total area of one side of the L shape is
A=60+16=76in²
Also, the total area of the two L shape is =2×76
A=152in²
Then, let look at the back side of the solid and the front side, they are also symmetrical.
It forms a rectangle of length 10in and breadth 6in
Then, A= l×b=10×6=60in²
Area of the two sides is =60×2
A=120in²
The total are of the front and back side is 120in²
A=120in²
Let take a look at the top and bottom, they are also symmetrical and has a dimension of length 10in and breadth 6in
Then, A=l×b=10×6=60in²
So, total area =2×60 =120in²
The total area of the shape is the total area of top+ total are of the sides + total area of the L shape
Total area=152+120+120=392in²
A(total)=392in²
Then, the total area of the solid shape is 392in²
The first option is correct
You start driving north for 21 miles, turn right, and drive east for another 20 miles.
How many miles must you travel to return directly back to your starting point?
Answer:
40
Step-by-step explanation:
add 21 + 20
hope this helps :)
The lid of a jewelry box is in the shape of a triangular prism. The lid has a height of 10 inches. The triangular base of the lid has a base of 6 1/2 inches and a height of 3 1/2 inches. What is the volume of the lid to the nearest tenth?
The volume of the lid is approximately 113.8 cubic inches.
Explanation:The volume of the lid can be found by multiplying the area of the triangular base by the height of the lid. The area of a triangle can be found by using the formula: Area = (base x height) / 2. In this case, the base is 6 1/2 inches and the height is 3 1/2 inches. Plugging these values into the formula, we get: Area = (6.5 x 3.5) / 2 = 11.375 square inches. Now, to find the volume of the lid, we multiply the area by the height: Volume = 11.375 x 10 = 113.75 cubic inches. Rounding to the nearest tenth, the volume of the lid is 113.8 cubic inches.
The volume of the lid is 113.8 cubic inches.
To determine the volume of the lid of the jewelry box, we need to use the formula for the volume of a triangular prism, which is V = (1/2 * base * height of triangular base) * height of the prism.
First, calculate the area of the triangular base:
Base of the triangular base: 6.5 inchesHeight of the triangular base: 3.5 inchesArea = 1/2 * 6.5 inches * 3.5 inches = 11.375 square inchesNext, multiply the area of the triangular base by the height of the prism:
Height of the prism: 10 inchesVolume = 11.375 square inches * 10 inches = 113.75 cubic inchesTherefore, the volume of the lid to the nearest tenth is 113.8 cubic inches.
Use the Pythagorean Theorem to find the missing side. Round your answer to the nearest hundredth.
19 m
52 m
Answer:
55m
Step-by-step explanation:
a²+b²=c²
19 x 19 = 361
52 x 52 = 2704
2704 + 361= 3065
the square root of 3065 is 55.4 so round that to 55.
What is the value of x?
Answer:
5.14
Step-by-step explanation
6/x = 42/36
42x= 216
x= 5.14
At his last track meet, Eli ran the 400-meter dash in 54 seconds. His friend Kimberly bet him that he couldn't run a whole kilometer at that pace, but Eli is determined to prove her wrong. How many minutes would he have to run at this pace to win the bet?
Write your answer as a whole number, decimal, or simplified fraction. Do not round.
Answer:
Eli has to run for 2.25 minutes at this pace to win the bet.
Step-by-step explanation:
At his last track meet, Eli ran the 400-meter dash in 54 seconds.
So, the speed of Eli's run is [tex]\frac{400}{54} \times 60 = 444.44[/tex] meters per minute.
Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within [tex]\frac{1000}{444.44} = 2.25[/tex] minutes.
Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)
What is X in this equation?
3x+55=9x-5
Please Explain.
Answer:
x = 10
Step-by-step explanation:
3x + 55 = 9x - 5 (add 5 to both sides)
3x + 55 + 5 = 9x - 5 + 5
3x + 60 = 9x (subtract 3x from both sides)
60 = 9x - 3x
60 = 6x (rearrange)
6x = 60 (divide both sides by 6)
x = 60/6
x = 10
Answer:
x=10
Step-by-step explanation:
[tex]\mathrm{Subtract\:}55\mathrm{\:from\:both\:sides}\\3x+55-55=9x-5-55[/tex]
[tex]\mathrm{Simplify}\\3x=9x-60[/tex]
[tex]\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\3x-9x=9x-60-9x[/tex]
[tex]\mathrm{Simplify\:}again\\-6x=-60[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6\\\frac{-6x}{-6}=\frac{-60}{-6}[/tex]
[tex]\mathrm{\:Simplify\:one\:more\:time}\\x=10[/tex]
I hope this helps you out!
Have a wonderful afternoon!
30 POINTS please help
Answer:
B :)
Step-by-step explanation:
A farm stand wants to sell fruit to local grocery stores in packages with
baskets of grapes, worth $5 apiece, and baskets of plums, worth $10 apiece.
The owner wants each package to include 35 baskets total, and he wants to
sell each package for $290. How many baskets of grapes and how many
baskets of plums should he put in each package?
O
A. 12 grapes, 23 plums
OB. 10 grapes, 5 plums
O
C. 5 grapes, 10 plums
O
D. 23 grapes, 12 plums
A.12 grapes, 23 plums
Step-by-step explanation:
1. solve all the equations by multiplying each number by how much each item is worth
2. A: 290 =(12× 5)+(10×23)
B: 100 =(10×5)+(5×10)
C:125 =(5×5)+(10×10)
D:235 =(23×5)+(12×10)
If f(x) = -3x – 9 and g(x) = (x+7,
what is (fºg)(-6)?
Helppp
Answer:
-12
Step-by-step explanation:
we know that
(fºg)(x)=f(g(x))
To find out the composite function f(g(x)) substitute the variable x in the function f(x) by the function g(x)
we have
[tex]f(x)=-3x-9[/tex]
[tex]g(x)=x+7[/tex]
so
[tex]f(g(x))=-3(x+7)-9[/tex]
For x=-6
substitute
[tex]f(g(-6))=-3(-6+7)-9[/tex]
[tex]f(g(-6))=-3(1)-9[/tex]
[tex]f(g(-6))=-12[/tex]
What is the decimal equivalent of the rational number -1/8
Answer:
-0.125
Step-by-step explanation:
To find the decimal version of the fraction, divide using a calculator or long division.
-1 / 8 = -0.125
Best of Luck!
HELP PLEASE BE QUICK
Answer:
Option A, V = π(7)^2h
Step-by-step explanation:
The formula for the volume of a cylinder: V = πr^2h
Step 1: Since the give us diameter we need to find radius
radius = diameter/2
radius = 14/2
radius = 7
Answer: Option A, V = π(7)^2h
Answer:
A
Step-by-step explanation:
Volume of a cylinder = pi r2 h
Where pi = 3.14
Radius r = diameter/2
Diameter given is 14,
So radius = 24/2 = 7
Height h
Volume = pi(7)^2 h
Which is better to buy? - A 3lbs. bag of apples for $2.99 or a 5lbs. bag for $4.99?
IS THERE AN OPTION TO SAY THEY ARE EQUAL IF THERE IS THEN THAT IS THE ANSWER :}
What's the distance between (–4, 3) and (4, 3)?
Answer:
The distance between (-4, 3) and (4, 3) is 8
Step-by-step explanation:
Distance formula: [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Distance: [tex]\sqrt{(4 - (-4)^2 + (3 - 3)^2}[/tex]
Distance: [tex]\sqrt{(4 + 4)^2 + (0)^2}[/tex]
Distance: [tex]\sqrt{8^2} \\[/tex]
Distance: 8
Answer: The distance between (-4, 3) and (4, 3) is 8
7 + 7x; 7(x+1)
Are these equivalent?
TRUE or FALSE?
Answer:
I believe it would be true
If h = 24 units and r = 8 units, what is the volume of the cone shown above?
Use 3.14 for π
Answer:
1,607 volume
Step-by-step explanation:
the equation of a line β is 2x-3y=6
find the gradient of β
Answer:
2/3
Step-by-step explanation:
Rewrite the equation into the form of y=mx+c
m is the gradient of the line.
2x-3y=6
3y= 2x-6 (bring y terms to one side, the rest to the other)
y= 2/3x -2 (÷3 throughout)
Thus the gradient is 2/3.
You need 2 gallons of juice for every 12 people attending the open house. How many gallons of juice would be needed for 156 people?
Answer:
26 gallons of juice
Step-by-step explanation:
156/12 = 13
13x2=26
Answer: 26 gallons
Step-by-step explanation:
2 gallons for every 12 people so you want to do 156 divided by 12 which would be 13. That shows that there are 13 times more people than there were before. You would then multiply 2 by 13 which would give you 26 gallons of juice.
1. y = 6x
2x + 3y = -20
Step-by-step explanation:
[tex]y = 6x[/tex]
[tex]2x + 3y = -20[/tex]
To solve this system of equations, let's multiply the first equation by [tex]-3[/tex] to get a [tex]3y[/tex] term in each equation:
[tex]-3y = -18x[/tex]
Now, let's add the two equations together:
[tex](2x + 3y) + (-3y) = -20 + (-18x)[/tex]
[tex]2x = -20 - 18x[/tex]
[tex]20x = -20[/tex]
[tex]x = -1[/tex]
Now, we can plug in this value of [tex]x[/tex] into either equation to solve for [tex]y[/tex]:
[tex]y = 6x[/tex]
[tex]y = 6(-1)[/tex]
[tex]y = -6[/tex]
or
[tex]2x + 3y = -20[/tex]
[tex]2(-1) + 3y = -20[/tex]
[tex]-2 + 3y = -20[/tex]
[tex]3y = -18[/tex]
[tex]y = -6[/tex]
Therefore, the solution to this system of equations is [tex](-1, -6)[/tex].
Answer:
x = -1
y = -6
Step-by-step explanation:
y = 6x
2x + 3y = -20
Substitute the first expression into the second one
We have
2x + 3y = -20
2x + 3(6x) = -20
2x + 18x = -20
20x = -20
Divide both sides by 20 to isolate x
20x/20 = -20/20
x = -1
Remember the first expression
y = 6x
Therefore
y = 6(-1)
y = 6 x -1
y = -6
Check
2(-1) + 3(-6) = -20
-2 + -18 = -20
-2 - 18 = -20
-20 = -20
So our answer is correct
A 23-year-old female buys 25/50/100 liability insurance, collision insurance with a $250 deductible, and comprehensive insurance with a $100 deductible. What is her total annual premium? Use the base premium and rating factor tables used to calculate the annual car insurance premium of a person.
Answer: $1090.80
Step-by-step explanation:
Answer:
$1,090.80
Step-by-step explanation:
Bodily injury; 25/50=$220
Property; 100=$375
Collision deductibles;$250=$185
Comprehensive deductibles;$100=$129
220+375+185+129 = 909
909*1.2=1,090.8
Took the test
I need help please and can you explain
ANSWER ASAP!!!!
The app uses 2^28 bytes.
Step-by-step explanation:
Step 1: Given total storage used by the app = 4^4 Megabytes. Also, 1 MB = 2^20 bytes. Find total storage used by app in bytes.⇒ 4^4 × 2^20 = (2²)^4 × 2^20 = 2^8 × 2^20
= 2^8+20
= 2^28 bytes (using the law of exponents a^m × a^n = a^m+n)
if a circle has a diameter of 12.8 cm, what is the radius
Answer:
6.4cm
Step-by-step explanation:
The radius of a circle with a diameter of 12.8 cm is 6.4 cm.
Explanation:The diameter of a circle is twice the length of its radius, so to find the radius of a circle given its diameter, you simply divide the diameter by 2.
In this case, the diameter is 12.8 cm, so the radius would be 12.8 cm / 2 = 6.4 cm.
Learn more about radius of a circle here:https://brainly.com/question/31831831
#SPJ2
Answer these 2 questions and you get 15 points
Question 1: Option B: [tex]\frac{10}{14}=\frac{5}{7}[/tex]
Question 2: Option C: [tex]\frac{12}{18}=\frac{4}{6}[/tex]
Solution:
Question 1:
Given ratio is [tex]\frac{10}{14}[/tex].
To find the equivalent ratio of [tex]\frac{10}{14}[/tex].
10 and 14 have the common factor 2.
So divide both numerator and denominator by the common factor 2.
[tex]$\frac{10}{14}=\frac{10\div2}{14\div 2}[/tex]
[tex]$=\frac{5}{7}[/tex]
[tex]$\frac{10}{14}=\frac{5}{7}[/tex]
Hence option B is the correct answer.
Question 2:
Given ratio is [tex]\frac{10}{14}[/tex].
To find the equivalent ratio of [tex]\frac{12}{18}[/tex].
12 and 18 have the common factor 3.
So divide both numerator and denominator by the common factor 3.
[tex]$\frac{12}{18}=\frac{12\div3}{18\div 3}[/tex]
[tex]$=\frac{4}{6}[/tex]
[tex]$\frac{12}{18}=\frac{4}{6}[/tex]
Hence option C is the correct answer.
If you were calculating the volume of a cube that has a side length of 8 inches, how would you write the calculations in exponential form? What are 2 more ways to read the exponent verbally.
Answer: 8^3, Eight to the third power, Eight times eight times eight.
To calculate the volume of a cube with a side length of 8 inches, you write the calculation in exponential form as V = 8^3, which is read as '8 cubed' or '8 to the third power', resulting in a volume of 512 cubic inches.
Explanation:To calculate the volume of a cube using a side length of 8 inches, you can write the calculation in exponential form as V = 8^3. This represents the volume (V) as the length of a side of the cube (8 inches) raised to the power of 3. In exponential form, 8^3 is 8 cubed or 8 to the third power, both of which mean 8 multiplied by itself twice more (8 x 8 x 8).
Therefore, the volume of the cube would be 512 cubic inches because 8 x 8 x 8 equals 512.
Spinning Spinner 1st Simulation Colors Tally red 14 yellow 6 green 19 blue 1 2nd Simulation Colors Tally red 24 yellow 17 green 28 blue 11 3rd Simulation Colors Tally red 26 yellow 24 green 32 blue 38 Jill conducted three simulations of spinning a fair spinner (four sections of different colors--red, blue, yellow, green). The first simulation consisted of 40 spins, the second simulation consisted of 80 spins and the third simulation consisted of 120 spins. The results were recorded in the tables shown. Do the results for the green section follow the law of large numbers? Why or why not? A) no, because the probability of green is the same for each of the simulations. B) yes, because the probability of green is different for each of the simulations. C) no, because with each simulation, as the number of trials increase, the probabilities vary greatly and do not approach the theoretical probability of 1 4 . Eliminate D) yes, because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of 1 4 .
Answer: D
Step-by-step explanation: yes, because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of
1/4.
The answer is D
Step-by-step explanation:
because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of
1
4
. The law of large numbers indicates that if an event of probability p is observed repeatedly during independent repetitions, the ratio of the observed frequency of that event to the total number of repetitions approaches p as the number of repetitions becomes arbitrarily large.
The endpoint of a diameter of a circle are (-4,2) and (12,10). What is the y-coordinate for the center of the circle
Answer:
6
Step-by-step explanation:
The center of the circle is the midpoint of the diameter. The midpoint can be found by averaging the coordinates of the end points:
((-4, 2) +(12, 10))/2 = ((-4+12)/2, (2+10)/2) = (4, 6)
The y-coordinate of the center is 6.
The center of the circle has a y-coordinate of 6, determined by averaging the y-coordinates (2+10)/2 of the diameter's endpoints (-4,2) and (12,10).
Explanation:The y-coordinate for the center of a circle can be determined by finding the midpoint of the y-coordinates of the diameter's endpoints. Given the endpoints (-4,2) and (12,10), the midpoint can be found by averaging the y-coordinates: (2 + 10) / 2 = 12 / 2 = 6. Therefore, the y-coordinate of the center of the circle is 6.