Answer:
y = - 0.6x + 109
Step-by-step explanation:
The equation in linear form is
y = mx + c ← slope- intercept form
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table
m = [tex]\frac{76-94}{55-25}[/tex] = [tex]\frac{-18}{30}[/tex] = - 0.6
y = - 0.6x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (45, 82 ) , then
82 = - 27 + c ⇒ c = 82 + 27 = 109
y = - 0.6x + 109
Suppose the population of a town is 100,000 in 2014. The population increases at a rate of 4.5 percent every year. What will the population of the town be in 2020? Round your answer to the nearest whole number.
Answer:
127,000 people by 2020
Step-by-step explanation:
4.5% per year
We have 6 years since 2020-2014=6 years
4.5 • 6 = 27% of 100,000 = 27,000
To find our total population, it would be 100,000+27,000=127,000 people would live there in 2020
This is assuming the birth rate is consistent
Brainliest please :)
464.93 to the nearest millions
Answer:
It can not be rounded to the nearest millionths bc there is not millionths place in the decimal
Step-by-step explanation:
knife is 3 times cost of spoon
9 spoons and 12 knifes is £82.80
what is 1 knife
Answer:
The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.
Given :
A knife is 3 times the cost of the spoon. 9 spoons and 12 knives costs £82.80.Solution :
This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations". Linear calculations that requires more than one variable can be done with the help of linear equations. The standard form of a linear equation in one variable is ax + b = 0.Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.
[tex]9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84[/tex]
Therefore the cost of 1 knife = 5.52
Step-by-step explanation: [tex]1.84 x 3 = 5.52[/tex]
What's (7 x 100) + (4 x /100) + (8 x 1/1000) in standard form?
Answer:
(7*100) can be written as 7*10^2
4 * / 100 i don’t know
if it was 4 * 100 then it’s 4*10^2
if it was divided then it’s 4*10^-2
8* 1/1000 = 8/1000 = 8*10^-3
add together to get 1.100008 * 10^3 (if it was 4*100)
or 7.00048 * 10^2 ( if it was 4/100)
Which expression does not belong with the other three? Explain your reasoning.
2(x+2) 5(x-8) 4+(x•4) 8(9-x)
Which one does not belong:
Explain your reasoning:
Answer:
3. 4 + (x · 4)Step-by-step explanation:
Given expressions:
2(x + 2) 5(x - 8) 4 + (x • 4) 8(9 - x)Three of them in the form of:
a(b + c)One of them in the form of:
a + (bc)Number 3 doesn't belong
From a box of 120 mangoes, Brent sold 60%. How many mangoes were left?
Given:-
From a box of 120 mangoes, Brent sold 60%.To Find :-
How many mangoes are left .Solution :-
According to the question, box has 120 mangoes . The number of mangoes he sold will be ,
[tex]\longrightarrow[/tex] n(sold) = 60% of 120
[tex]\longrightarrow[/tex] n(sold) = 60/100 × 120
[tex]\longrightarrow[/tex] n(sold) = 3/5 × 120
[tex]\longrightarrow[/tex] n(sold) = 72
Hence the number of mangoes left will be ,
[tex]\longrightarrow[/tex] n(left) = 120 - 72
[tex]\longrightarrow[/tex] n(left) = 48
Hence the number of mangoes left is 48.
A local business donated 40,782 marbles to distribute equally
among 42 sixth grade classes in the district. How many marbles
did each class receive?
Answer:
971
Step-by-step explanation:
40782/42=971
Answer: 971 marbles per class
Step-by-step explanation:
40,782 marbles divided by 42 classes =
971 marbles per class
Check
971 x 42= 40782
Paetan pays $10.73 for 3.7 pounds of cherries. What is the cost for 1 pound of cherries?
Answer:
$2.9
Step-by-step explanation:
us
What is the dividend yield on Stock A that sells at
15 $/share, when Company A pays a quarterly
dividend of $0.15 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth.
Fnter
Answer:4
Step-by-step explanation: $0.15 x 4 = 0.6
0.60 divide by 0.15
= 4.
Write
3^2 × 3√3 as a single power of 3.
Answer:
27√3
Step-by-step explanation:
mike deposited a sum of rs 64000 in a post office for 4 years, compound annually at 4% per annum. What amount will he get on maturity
Answer:
79507
Step-by-step explanation:
because 64000(1+15/200)^3= 79507
A rectangular room has an area of 120 square feet. a. The length of the room is 15 feet. Find the perimeter of the room. The perimeter of the room is feet.
Hi I really need help with this please 25POINTS!!!
What is the Point of Maximum Growth of this function?
f(x)=(7)/(1+5e^(-0.9x)
Select the correct answer:
(0,7/6)
(0.39,3.5)
(-1.79,3.5)
(1.79,3.5)
Answer:
(0,7/6)
Step-by-step explanation:
Someone plz help me :(
Answer:
I think it's D
Step-by-step explanation:
Their talking about "the difference", and since we all know difference with numbers mean subtraction. So it is 150-99 I'm sure.
kinyua spent
[tex] \frac{1}{4} [/tex]
of his net January salary on school fees
Answeby-step explanation:
zdssadads
3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?
Answer:
50 second
Step-by-step explanation:
let the distance between Michael and kyle (s)
s= 50 m
we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)
v = s/t
t = s/v
Vm = speed of Micheal
Vk = speed of kyle
v = ( Vm - Vk )
t = 50/(4-3) = 50 second
what times what equals 48 and adds to -16
Answer:
-4 and -12
Step-by-step explanation:
For what times what equals 48:
-4(-12) = 48
-4 - 12 = -16
Answer:
x= -4 and y= -12
Step-by-step explanation:
x*y=48
x+y=-16
solve one equation for x
y=-16-x
then plug that y into the other equation
x(-16-x)=48
-16x-x^2=48
multiply by -1
x^2+16x=-48
complete the square
x^2+16x+64=-48+64
(x+8)^2=16
solve for x
x+8=sqrt(16)
x+8=4
x=4-8
x=-4
plug x back into original equation
x+y=-16
-4+y=-16
y=-16+4
y=-12
so your answers are x=-4 and y=-12
JE VOUDRAI CONNAITRE LE RESULTA DE
5√200
Solve 2x + 3(x+ 10) = 60.
O A. x = 6
O B. x = 5
O C. x= 3
O D. x = 7
Answer:
A. x = 6
Step-by-step explanation:
2x+3(x+10)=60
Use the distributive property to multiply 3 by x+10.
2x+3x+30=60
Combine 2x and 3x to get 5x.
5x+30=60
Subtract 30 from both sides.
5x=60−30
Subtract 30 from 60 to get 30.
5x=30
Divide both sides by 5.
x=
5
30
Divide 30 by 5 to get 6.
x=6
what is the value of m in the figure below?
==========================================================
Explanation:
First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x
AD/BD = BD/DC
13/x = x/4
13*4 = x^2
52 = x^2
x^2 = 52
x = sqrt(52)
Segment BD is exactly sqrt(52) units long.
------------
Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC
(BD)^2 + (DC)^2 = (BC)^2
( sqrt(52) )^2 + ( 4 )^2 = ( m )^2
52 + 16 = m^2
68 = m^2
m^2 = 68
m = sqrt(68)
m = 8.2462 approximately
m = 8.2
find the sum of an arithmetic sequence 9, 15, 21, 27,…,183?
Answer:
It Jumps by six every number, so six would be my guess
After the temperature rose 6°, the thermometer read 64°F.
What is an equation that can be used to find x, the temperature before the 6° increase.
Drag the number, symbol, or operation sign to each box to complete the equation.
Answer: 64 - 6 = x
Step-by-step explanation:
Answer:
64-6=x
Step-by-step explanation:
I took the test.
variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5
Answer:
16.3x
17. 8y
18.x+y
I thing these are the answers of these equations
În figura alăturată, este un pătrat cu = 12 cm, punctul este mijlocul lui (), ∩ = {}, iar
∩ = {}
Answer:
yes
Step-by-step explanation:
What 5,727 dived by 83
Answer:
415
____
727
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
Find the lowest common multiple (LCM) of 18 and 21.
LMC (18,21) = 126
ok done. Thank to me :>
The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.
Answer:
A. True
B. True
C. False
D. True
E. False
Step-by-step explanation:
A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs
B. True, as y = f(x)
C. False, as there is no exponents
D. True, as if x=1, you lose 2 points
E. False, as x is the number of wrong problems
what does the slope of jessicas function represent?
tyia
Answer:
The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.
Step-by-step explanation:
So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.
simplify this addition 2m+(-2m)+4m
[tex]\\ \sf\longmapsto 2m+(-2m)+4m[/tex]
[tex]\\ \sf\longmapsto 2m-2m+4m[/tex]
[tex]\\ \sf\longmapsto (2-2)m+4m[/tex]
[tex]\\ \sf\longmapsto 0+4m[/tex]
[tex]\\ \sf\longmapsto 4m[/tex]
Answer:
4m
Step-by-step explanation:
2m+(-2m)+4m = 2m-2m+4m
= 4m
Hope it helps!!
3y-8=3y
solve for y
help asap
step by step please
Answer:
y=4/3
Step-by-step explanation:
3y-8=3y
3y+3y=8
6y=8
y=8/6=4/3