Answer:
[tex]\huge\boxed{2}[/tex]
Step-by-step explanation:
In order to find the two consecutive numbers, we have to note that a consecutive number is one that is just after the previous.
Such: 4, 5, 6 are consecutive. 12, 69, 42 are not.
Therefore - we can represent our first number as [tex]x[/tex] and our second as [tex](x+1)[/tex].
Let's make an equation based on the problem.
"The sum of two consecutive integers"
[tex]x + (x+1)[/tex]"3 times their difference"
[tex]3(x - (x+1))[/tex]We can now set these equal to each other.
[tex]x + (x+1) = 3(x - (x+1))[/tex]Let's solve for x.
[tex]2x + 1 = 3(1)[/tex] (Combine like terms) [tex]2x+1=3[/tex] (Multiply the right side) [tex]2x = 2[/tex] (Subtract 1 from both sides) [tex]x=1[/tex] (Divide both sides by 2)Now we know that our first number is 1. Therefore, since our second number is one greater, our second number will be [tex]1+1=2[/tex].
The question asks for the larger number. 2 is larger than 1, therefore 2 is our answer.
Hope this helped!
Write a function called Radians_To_Degrees which will convert an angle from Radians to Degrees. In your Lesson 06 script: a. convert 1.62 radians to degrees b. Convert pi/9 radians to degrees
Answer:
a) 92.9 degrees
b) 20 degrees
Step-by-step explanation:
Using the conversion factor;
180 degrees = pi radians
For 1.62 radians;
1.62 radians = x
pi radians = 180 degrees
Divide both expressions;
1.62/pi = x/180
pi * x = 1.62 * 180
pi * x = 291.6
x = 291.6/pi
x = 291.6/3.14
x = 92.9 degrees
Hence 1.62 radians is equivalent to 92.9 degrees
b) Recall that
pi radians = 180 degrees
pi/9 rad = y
Cross multiply
y * pi = 180pi/9
y = 180/9
y = 20 degrees
Hence pi/9 radians is equivalent to 20 degrees
If a central intercepts an arc of 6.3 cm. in a circle whose
radius is 4.2 cm., find the measure of the central in radians.
Solve for k. K(K + 8) = 0 Write your answers as integers or as proper or improper fractions in simplest form. k = 1 or k = submit
Answer:
k= -8
Step-by-step explanation:
Which is correct a or b
Answer:
B is correct hope this helps
Bailey wanted a new pair of shoes. She put the $142 cost on her
credit card. Because Bailey has been irresponsible with her credit,
the credit card company charges her 22% annual interest. Figure
Bailey's balance after 180 days, assuming she made no payments.
Answer:
Bailey's balance after 180 days is $ 157.39.
Step-by-step explanation:
Since Bailey wanted a new pair of shoes, and she put the $ 142 cost on her credit card, but because Bailey has been irresponsible with her credit, the credit card company charges her 22% annual interest, for figure Bailey's balance after 180 days, assuming she made no payments, the following calculation must be made:
365 = 100
180 = X
180 x 100/365 = X
18,000 / 365 = X
49.31 = X
22 x 0.4931 = 10.84
142 x 1.1084 = X
157.39 = X
Thus, Bailey's balance after 180 days is $ 157.39.
Calculate the area of the figure in square centimeters.
Answer:
20.283
Step-by-step explanation:
1) the formula of the required Area is:
A=A₁+A₂, where A₁ - area of semicircle, A₂ - area of rectangular;
2) the radius of the semicircle is: r=(7-2-1)/2=2 cm, then the area A₁:
A₁=0.5*π*r²=2π≈6.283 (cm²);
3) A₂=7*2=14 (cm²);
4) finally, A=A₁+A₂=6.283+14=20.283 (cm²)
Need help plz and thank u
A local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers on Wednesday. There were 60 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?
Answer:
225 hamburgers
Step-by-step explanation:
system of equations:
h + c = 390
c = h-60
use Substitution:
h + h - 60 = 390
2h - 60 = 390
2h = 450
h = 225
CL 6-153
In 2012 the average cost for a new midsized car was about
$31,000. New car prices tend to go up about 2% every year.
a. What is the multiplier for this situation?
b. If this trend continues, what will the cost be in 4 years?
c. Write an equation to calculate the cost in n years. What does
each of the factors in your equation represent?
Answer:
A) The multiplier for this situation is 0.02.
B) The cost in 4 years will be $ 33,555.39.
C) 31,000 x 1.02 ^ N = X
Step-by-step explanation:
Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:
A)
31,000 x 2/100 = X
31,000 x 0.02 = X
Thus, the multiplier for this situation is 0.02.
B)
31,000 x 1.02 ^ 4 = X
33,555.39 = X
Thus, the cost in 4 years will be $ 33,555.39.
C)
31,000 x 1.02 ^ N = X
Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.
Plzz help me I am timed plzz!
Answer:
B) 2
Step-by-step explanation:
6/3 = 2
3/3 = 1
6÷3 = 2
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Please help answer this
The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
Step-by-step explanation:
Answer:
5.573.75
Step-by-step explanation:
because math
Find the area of a circle with a diameter of 16.
Either enter an exact answer in terms of or use 3.14 for at
and enter your answer as a decimal.
units?
Help me
Answer:
A=200.96.
Step-by-step explanation:
A=3.14×16/2^2.
A=3.14×8^2.
A=3.14×64.
A=200.96 or A=201.
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
Answer: lesser x = 1/5 greater x = 4
Step-by-step explanation:
Sabric and Jessica disagree over an inequality statement. Sabric claims that –3.613 > –3.63. Jessica claims that –3.613 < –3.63. Which statement about each student’s claim is true?
Answer:
Sabric i guess
Step-by-step explanation:
because -3.613 is greater than -3.63
Answer:
D is the correct answer
Step-by-step explanation:
Sabric is correct because –3.613 lies to the right of –3.63 on a number line.
6. Missing data, nonrandom samples, and outlying observations True or False: If the data for an observation on either the dependent variable or one of the independent variables are missing at random, then the size of the random sample available from the population must be reduced, which reduces the estimator's precision and introduces a bias.
Answer:
False
Step-by-step explanation:
The answer to this question is false because the missing observation does not introduce bias to the estimator. But missing observations reduces the size of the sample that is available from the given population. Therefore reducing the precision of the estimators.
In conclusion, no bias is introduced because of missing observations so the answer is false.
2/5 of a number equals 36
Answer:
let no be x
2/5 of x=36
x=36×5/2
x=18×5=90
required no is 90
help me,,.,,.,.,,,,,..,,,,..
Answer:
90
Step-by-step explanation:
that's a right angle
What is the length of leg s of the triangle below?
Answer:
the answer is F.8
Step-by-step explanation:
80 POINTS PLEASE HELP!!!
Consider functions f and g.
f(x) = log(x - 1)
g(x) = 1/3x^2 - 4
Which statement is true about the solutions of the equation f(x) = g(x)?
Answer:[tex]g (f (x)) = 3^{2} + 24[/tex]
Step-by-step explanation:
The true about the solutions of the equation f(x) = g(x) is
The solution of the graph where the graph of function intersect at
x = 1 and x = 3.642.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
We have function,
f(x) = log(x - 1)
g(x) = 1/3x² - 4
As, f(x) = g(x)
log (x-1) = 1/3 x² - 4
Now, putting x= 1, x= 3.642, x= 4.464, x= 4 , x= 0.422 into the formula for the observation.
So, the solution of the graph where the graph of function intersect at
x = 1 and x = 3.642
Learn more about Function here:
https://brainly.com/question/30721594
#SPJ5
Please help if you can
Answer:
quadrant three I think.
Answer:
quadrant IV
Step-by-step explanation:
(x,y) the x line has positive numbers while the y has negative numbers
Almost done. I need help with this part
Answer:
[tex]\%Percent = 14.3\%[/tex]
Step-by-step explanation:
Required
15 is what percentage of 105
To do this, simply divide 15 by 105 multiplied by 100%.
So, we have:
[tex]\%Percent = \frac{15}{105} * 100\%[/tex]
[tex]\%Percent = \frac{15*100}{105}\%[/tex]
[tex]\%Percent = \frac{1500}{105}\%[/tex]
[tex]\%Percent = 14.3\%[/tex] --- approximated
If 5 people are going to share 9 pizzas how much pizza would each person get
Answer: 14
Step-by-step explanation:
5x9/8
Answer: Each person would get [tex]1 \frac{4}{5}[/tex] pizzas.
Step-by-step explanation:
9 pizzas divided by 5 people would be:
9 ÷ 5 = 9/5
9/5 = 1 4/5
Therefore, each person would get get [tex]1 \frac{4}{5}[/tex] pizzas.
Solve for x
Please help me
9514 1404 393
Answer:
x = 8.2
Step-by-step explanation:
As indicated on the supplied diagram, the measure of arc GH is ...
GH = 360° -83° -115° = 162°
The inscribed angle at F is half this measure, so we have ...
(10x -1)° = 162°/2
10x = 82 . . . . . . . . add 1 and simplify
x = 8.2 . . . . . . . . . divide by 10
The difference between twice a number and 16 is 30. Which math statement is an equation that represents this relationship?
A) 30 – 16 = x
B) x – 16 = 30
C) 2x + 16 = 30
D) 2x – 16 = 30
E) 2x + 30 = 16
Answer:
D
Step-by-step explanation:
Answer:
D is the correct answer :)
Step-by-step explanation:
Hi,
Twice a number is 2x (x because we don't know what that number is) The word "difference" suggests we're subtracting. So, 2x - 16 = 30 is correct.
Have a great rest of your day :)
True or False?
change in y
change in z
is used to find the constant of proportionality.
O False
O True
Answer:
False
Step-by-step explanation:
your welcome.
Answer:
false
Step-by-step explanation:
What is the measure of
Answer:
B
Step-by-step explanation:
180°= straight line
180°-42°=138
Last 3 questions thank you so much
Answer:
Step-by-step explanation:
1)
we are given ∠17 and the Adj = 200 meters they want to know the Opp
so use TOA
Tan(17) = Opp / 200
200*Tan(17) = Opp
61.146 = Opp
the mast stands 61.1 meters tall ( rounded to nearest 10th )
2)
now we know the opp = 40 meters and the angle is 35° and Adj = x
Use TOA again, but w/ the different knowns
Tan(35) = 40 / Adj
Adj = 40 / Tan(35)
57.1259 = Adj
so the boat is 57.1 meters from the cliff ( rounded to nearest 10th)
3)
we are given two triangles now and are told to find the difference between them to find the distance between the buoys
Opp = 70
∠A = 60
∠B = 40
we want to find the Adj for each so use TOA
for A , then
Tan(60)= 70/a
a = 70 / Tan(60)
a = 40.4145
for B, then
Tan(40) = 70 /b
b = 70 / Tan(40)
b = 83.4227
so subtract a from b
83.4227 - 40.4145 = 43.008
so from buoy A to buoy B is 43.0 meters ( rounded to nearest 10th )
:)
round to the nearest 10th
Pls help I’ll brainlest
Do question 10
Show your work
Answer:
Step-by-step explanation:
285 - 60= 225
225/45= 5
5 weekdays