Given :
It is estimated that there are 828 motor vehicles in the US for every 1,000 people.
To Find :
Number of motor vehicles in the US is 260 million, then what is its population to the nearest million.
Solution :
Ratio of car for 1000 people, [tex]R=\dfrac{828}{1000}=0.828[/tex].
Let, population is x million.
[tex]0.828 = \dfrac{260}{x}\\\\x =\dfrac{260}{0.828}\\\\x = 314 \ million[/tex]
Therefore, the population is 314 million.
Hence, this is the required solution.
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8500 ft, the liquid boils at 199.55 F. At an altitude of 4300 ft, the liquid boils at 206.69 F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at ft?
Answer:b = -0.0013a + 211
Step-by-step explanation:
Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .
As the question specifies to use a for altitude and b for boiling point, change the variables equation to
b is the boiling point.
m is the slope.
a is the altitude.
c is the y-intercept.
To find the slope, we can use the equation except x is a and y is b.
The sets of information given are:
8500 ft, the liquid boils at 199.95° (This can be info set 1)
4300 ft, the liquid boils at 205.41° (This can be info set 2)
Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.
m = -0.0013
Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.
b = ma + c
199.95 = (-0.0013)(8500) + c <= Simplify
199.95 = -11.05 + c
199.95 + 11.05 = -11.05 + 11.05 + c <=add 11.05 on both sides to isolate c
c = 211 <= y-intercept
Put the y-intercept and slope into the equation of a line:
b = ma + c
b = -0.0013a + 211 <= This is the equation for the problem.
the temperature in an experiment is increased at a constant rate over a period of time until the temperature reaches 0 degrees celsius. the equation y=5/2x-70 gives the temperature y in degrees celsius x hours after the experiment begins. Find and interpret the x- and y- intercepts.
Answer:
x = 28 (So it takes 28 hours for the temperature to reach 0°C.)
y = -70 (So the temperature when the experiment begins is −70°C.)
Step-by-step explanation:
To find the the x value, you remove the y value or replace it with 0.
0 = 5/2x - 70
Next you move the variable.
70 (2/5) = x (multiply 70 by 2 to get 140 and divide that by 5)
And now you simplify to get:
28
To find the y value, you remove the x value or replace it with 0.
y = 0 - 70
And now you simplify to get:
-70
x = 28
y = -70
x = 28 (So it takes 28 hours for the temperature to reach 0°C.)
y = -70 (So the temperature when the experiment begins is −70°C.)
for m(x)=-2x+7, find the value of x for which m(x)=13
Answer:
x = -3
Step-by-step explanation:
m(x) = -2x + 7
13 = -2x + 7
6 = -2x
x = -3
How many more times larger is 8,000 than 8?
Answer:
8,000 is 1,000 times bigger than 8
Answer:
1,000 times bigger because you have to add the 0's in it.
Step-by-step explanation:
Which value is the slope in the equation:
y= 4x + 2
Answer:
it's 4 ^_________^ ig my answer needs to be longer
What is de DOMAIN of {(-2, 6) (4 , 9) (5, 12)} *
{6,9,12)
{-2,4,5)
6 sy s 12
-25x55
HELP ASAP. ‼️‼️‼️‼️‼️
Answer:
Nice Shoes..
Step-by-step explanation:
The answer is 16 to the 4th power for #1 89c for #2 and 29f for the third
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
c and e are expressions.
b is an equation.
a and d are inequalities.
Expressions are the only ones WITHOUT an 'equals', 'greater', or 'less than'.
( = , > ,. < )
What is the value of this expression 49.88 − 38.491
Casey is making a flower arrangement with roses r and carnations c the cost of each rose is $0.50 and the cost of each carnation is $0.10 . the arrangement has a total $20. how many of each flower did Casey put in his arrangement
Answer:
r+c=80
.50r+.10c=20
Step-by-step explanation:
each rose costs $0.50
each carnation costs $0.10
The number of roses is r, and the number of carnations is c.
the arrangement has a total of 80 flowers, so we have that:
r + c = 80
the cost is $20, so we have:
r*0.5 + c*0.1 = 20
so our system of equations is:
r + c = 80
r*0.5 + c*0.1 = 20
and we can also solve it; for this isolate one of the variables in the first equation:
r = 80 - c
now let'r replace this in the second equation:
(80 - c)*0.5 +c*0.1 = 20
40 - c*0.4 = 20
c = 20/0.4 = 50
this means that we have 50 carnations, and the other 30 are roses.
i was so lost that i almost forgot the answer was in my face
hope this help shawty
Shelila had $4.75 to buy pencils for an art class and each pencil costs 89c. How much pencils will she have?
Answer:
5 pencils
Step-by-step explanation:
4.75 / 0.89 = 5.33
Since you can't buy 1/3 of a pencil, Shelila can only buy up to 5 pencils
Will runs a business that employs 105 staff.
Each member of staff works 35 hours a week and gets an hourly wage of £7.60
The staff have complained that they are not being paid enough and have asked
for a 10% pay rise.
How much will the proposed pay rise cost Will on a weekly basis?
£
Each employee makes 35 x 7.60 = 266 per week.
105 employees x 266 = 27,930 per week total pay.
27930 x 10 % = 27930 x 0.10 = 2,793 more per week.
) If a deposit or withdrawal will change an account balance by more
than $1,000, a manager must approve it. Which of these deposits and
withdrawals need manager approval? Choose ALL the correct answers.
-$875
-$1,600
$1,304
-$2,505
$1,001
$451
DONE
ID
The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
What are the deposits and withdrawals?
A deposit is a money put into a bank account for safekeeping until you need it. A withdrawal is a money that's taken out of your account.
The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
The deposits and withdrawals that do not require manager approval are:
-$875 (since it changes the balance by less than $1,000)
$1,304 (since it changes the balance by less than $1,000)
$1,001 (since it changes the balance by less than $1,000)
$451 (since it changes the balance by less than $1,000)
Therefore, The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
To learn more about deposits and withdrawals visit,
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9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = 5x - 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(2a) = 5(2a) - 4[/tex]
[tex]f(2a) = 10a - 4[/tex]
[tex]156 = 10a - 4[/tex]
[tex]10a - 4 = 156[/tex]
Add sides 4
[tex]10a - 4 + 4 = 156 + 4[/tex]
[tex]10a = 160[/tex]
Divide sides by 10
[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]
[tex]a = 16[/tex]
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I need you guys to answer all of this sorry please help me before 11:59 I beg
m<1
m<2
m<3
m<5
m<6
m<7
m<8
Here are the choices you have for each one (choose one)
106
74
74
Answer:
M<1 = 106
M<2 = 74
M<3 = 106
M<4 = 74
M<5 = 106
M<6 = 74
M<7 = 106
M<8 = 74
Step-by-step explanation:
How many grams are equivalent to 75 kilograms?
Answer:
75 * 1000 = 75000
75000 gram
Step-by-step explanation:
1 kg = 1000g, so the answer is simple (kg * 1000 = g)
Need helpp Hurry to get brainliest!!
Answer:
x =30
Step-by-step explanation:
4x + 40 = 6x-20 (set them equals)
40= 6x- 20-4x
40+20=2x
2x=60
divide by 2
x=30
Answer:
the answer is x=7
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
okaaaay. this is 10 units to the y axis...
Step-by-step explanation:
Find the slope of the line that passes through the pair of points: (2,-3) and
(0,-2) *
1 point
Answer:
It would be -1/2
Step-by-step explanation:
-2--3/0-2=-1/2
15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24
Answer:
A. 4 7/24
Step-by-step explanation:
subtract 15 - 11 which equals 4
then do 5/15 - 1/8 =7/24
Is it (sometimes true/never true) that all three altitudes of a triangle fall outside the triangle?
never true is always 180
2(x+y) = 5
How would I solve for x ?
A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner
Answer:
The surrounding air
Step-by-step explanation:
Answer:
the surrounding air
Step-by-step explanation:
An album is 20cm long and 14 cm wide. Sal uses some lace to make an edge around the cover of the album. She has 12 cm of lace left over afterwards. How long was her piece of lace?
The sales tax rate Atlanta's hometown is 7%. If she buys 3 lamps for 23.50 each and a sofa for $770, how much sales tax does she owe?
Answer:
35
Step-by-step explanation:
what is the value of x
Answer:
x=55⁰
Step-by-step explanation:
the line js supplementary so 180-125= 55
pls vote brainliest
Find the equation of a line through the coordinate (3,−2) and parallel to the line represented by y=12x−2.
Answer:
Step-by-step explanation:
y + 2 = 12(x - 3)
y + 2 = 12x - 36
y =12x - 38
The required equation of the line passing through (3, -2) and parallel to the line represented by y = 12x - 2 is y = 12x - 38.
What is Slope?Slope is usually denoted by m.
Slope is defined as the change in the value of the y coordinates with respect to the change in the value of x coordinates.
Equation of a line in slope intercept form is y = mx + c where m is the slope and c is the y-intercept.
y-intercept is the y coordinate when x coordinate equals zero.
It is given that the required line is parallel to y = 12x - 2.
Comparing with the slope intercept form of the line, the slope of y = 12x - 2 is 12.
Slope of two parallel lines are equal.
So the slope of the required line = 12
It is also given that required line passes through the point (x, y) = (3, -2).
Substituting these values,
-2 = (12 × 3) + c
-2 = 36 + c
c = -2 - 36
c = -38
So the required equation is found by substituting m = 12 and c = -38.
y = 12x - 38
Hence the equation of the line passing through (3, -2) and parallel to the line y = 12x - 2 is y = 12x - 38.
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The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero. The increase from noon to 4 PM was
Answer:
2°C
Step-by-step explanation:
Morning
-5°C
Noon (+3)
-2°C
4pm (+?)
0°C
Equation I used:
(-5) + (3) + x = 0
I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)
What is the value of X?
Answer:
the answer to x is 111
Step-by-step explanation:
A+B=X
Since its extended you add the two legs together
Hope this helps!
Answer:
111 degrees
Step-by-step explanation:
Angles in a triangle add up to 180 degrees, so we do 180-36-75 to find out the missing angle (=69). Then, angles on a straight line add up to 180 degrees too, so we do 180-69=111 degrees. :)
look at the pic below
answer quick please I need this asap
i will mark thx, star you & mark brainliest
Answer:
2 and 1 because look at the question
