Answer:
2(x+4)=-30
Step-by-step explanation:
In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?
Answer:
Step-by-step explanation:
we will set up two equations:
let c be candy
let m be mints
3c+2m=10.80
c+3m=5.35, c=5.35-3m
3(5.35-3m)+2p=10.80
c=3.10
m=0.75
Let x be the cost of candy per pound and y be the cost of mint per pound.
[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]
Rewrite the second equation for substitution:
x = 5.35 - 3y
Substitute the equation above into the first equation:
3(5.35 - 3y) + 2y = 10.80
16.05 - 9y + 2y = 10.80
-7y = -5.25
7y = 5.25
y = 0.75
∴ The price of mint per pound is $0.75.
A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.
Answer: [tex]f(x)=15500(1.0375)^x[/tex]
Step-by-step explanation:
The exponential model for growth is given by :-
[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time (in years).
Given: A= 15,500 r= 3.75% = 0.0375
The exponential model for the growth of this population will be :
[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]
hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]
in a week 13 hens laid 78 eggs what is the unit rate for eggs per hen?
Answer:
6 eggs per hen
Step-by-step explanation:
78/13=6 eggs per hen
Alfredo's bank charges an $8 service fee each month if his account goes below $500. In June, Alfredo had $510 in his account. He withdrew $25 and then did not have any transactions in his account for 6 months. a. Write as an integer the amount by which Alfredo's bank balance changed during the six months.
Answer:
$48
Step-by-step explanation:
Given that he is charged $8 service fee each month if his account goes below $500. If he has $510 and withdraws $25 the amount in account would be
= $510 - $25
= $485
This is below $500 hence he will be charged $8
Since he did not have any transactions in his account for 6 months, the change in his account as a result of the monthly charge
= 6 * $8
= $48
Frank wants to eliminate the variable y from
the system below by adding.
(7x - y = 8
12x + 2y = 6
First, he will have to multiply one of the
equations by a number. Which step will enable
him to eliminate y by adding?
Multiply each term in 2x +2y=6 by 3.
Multiply each term in 7x - y = 8 by-3.
ОА
OB
Multiply each term in 2x + 2y = 6 by-3.
Multiply each term in 7x - y = 8 by 3
07:23
Answer:
84 x is your answer right answer right
Which function is a shrink of the exponential growth function shown on the graph?
A.f(x) = 2(3)x
B.f(x) = One-half(3)x
C.f(x) = 2(one-third) Superscript x
D.f(x) = One-half (one-third) Superscript x
Answer:
B
Step-by-step explanation:according to my calculations it’s b
The solution is, Option B. f(x) = One-half(3)x.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
from the given graph we get,
The function in the graph is an exponential growth function.
Therefore its equation is g(x)= 3^x
A transformation that shrinks this graph is of the form: f(x)= k* 3^x, where
0<k<1
From the given options, we must have
k=1/2
This implies that:
f(x)= 1/2 * 3^x.
Hence, The solution is, Option B. f(x) = One-half(3)x.
To learn more on exponent number click:
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can someone answer this for me please and thank you !!
Answer:
gfcdxgstez5xdyrfctugv-
_=+86545
Step-b57645745y-step explanation:
uygtf57d4ftv
A bowling ball travels along the lane at a constant rate. The ball travels ⅟₁₀ of the length of the lane in ¼ seconds. At that rate, how many seconds does it take the ball to travel the entire length of the lane?
Answer:
2 1/2 seconds
Step-by-step explanation:
10×1/4=10/4=21/2 seconds
Hello
I have to write at least 20 words to say hi.
The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week,
he sold $4,500 worth of stocks. How much did he make last week in commission? If he averages
that same amount each week, how much did he make in commission in 2011?
The mid point of a given line segment must lie on the given line segment
true or false
The graph shows thar video sales at Bart's are nost often.
a- more than 400
b- less than 300
c- less than 100
d- more than 300
Answer:
The answer is b
Less than 300
Help me please :)....
Answer:
a = 6, b = 12, c = 18, d = 12
Step-by-step explanation:
A population of 30 sasquatch is released in a wildlife region. The population doubles each year for 4 years. What is the population after 4 years?
Answer:
480 sasquatch
Step-by-step explanation:
Year one: 30 x 2 = 60 sasquatch
Year two: 60 x 2 = 120 sasquatch
Year three: 120 x 2 = 240 sasquatch
Year four: 240 x 2 = 480 sasquatch
Answer:
480
Step-by-step explanation
3/4÷5 y multiplica el resultado por 4
Answer:
[tex]0.6[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} / 5 = 0.15[/tex]
[tex]0.15[/tex] x [tex]4[/tex] = [tex]0.6[/tex]
Hope I helped! Check out my profile for more answers!
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This is a short answer question.
Describe what the graph and equation look like for each of the parent functions.
Answer:
there you go there's your answers
Step-by-step explanation:
→A parent function is the simplest function of a family of functions. of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II.
€xample→For example, you can simplify "y=2*sin(x+2)" to "y=sin(x)" or "y=|3x+2|" to "y=|x|." Graph the result. This is the parent function. For example, the parent function for "y=x^+x+1" is just "y=x^2," also known as the quadratic function.
Jordan bought 3 bags of chips and 4 bars of chocolate and paid $7.25. Diego bought 2 bags of chips and 3 bars of chocolate and paid $5.25. What is the cost of a bag of chips and a bar of chocolate?
Answer:
Step-by-step explanation:
The price of a plain bowl plus the price
of
extra ingredients equals $
Answer:3,13
Step-by-step explanation:the price of the bowl is 10$ then you add 3 extra ingredients for a dollar each 10+3=13
Answer:
3,13
Step-by-step explanation:
[tex]tan(0)=\frac{5\sqrt{20} }{11}[/tex]
Answer:
0.035°
Step-by-step explanation:
We need to find the value of [tex]\theta[/tex] for the given expression. So,
[tex]\tan\theta=\dfrac{5\sqrt{20}}{11}[/tex]
or
[tex]\theta=\tan^{-1}\tan\left(\frac{5\sqrt{20}}{11}\right)\\\\=-2.0083\ radian[/tex]
Or we can write as :
[tex]\theta=0.035^{\circ}[/tex]
So, the value of [tex]\theta[/tex] is equal to 0.035°.
What is a numerical expression? Give an example.
Answer:
Step-by-step explanation:
The term numerical expression is made up of two words, numerical meaning numbers, and expression meaning phrase. ... A numerical expression in mathematics can be a combination of numbers, integers combined using mathematical operators such as addition, subtraction, multiplication, or division.
9^6 * 9^3 =
Give the answer in exponent form
Step-by-step explanation:
1,983593e11
Answer:
9^18
Step-by-step explanation:
Since the bases are the same digit, all you have to do is multiply the exponents to get your answer
Write the ratio 1/4 km 2/3 km in the simplest form
Step-by-step explanation:
the ratio is given above
Step-by-step explanation:
the ratio is given above
An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth
Answer:
Step-by-step explanation:
X = distance between eagle and mouse.
sin(15°) = 280/x
X = 280/sin(15°) = 1,081.837 ft
Solve the equation. 8| n | − 1 = 15
A.n=2
B.n=2 or n=-2
C.n=8 or n=-8
D. No solution
Answer:
8n=15+1
8n=18
divide both sides by 8
n=2 A
The range for the set of data represented by the following box-and-whisker plot is 8.
Answer:
TrueStep-by-step explanation:
The range is the difference between the lowest and the highest values of the set:
19 - 11 = 8The answer is TRUE
Answer:
true
Step-by-step explanation:
Help Please is the answer zero? I’m not good with algebra
Answer:
should be 0 because it isnt increasing or decreasing
(3x +7x² + 2x + 3) + (x + 1)
Answer:
=7x2+6x+4
Step-by-step explanation:
3x+7x2+2x+3+x+1
Combine Like Terms:
=3x+7x2+2x+3+x+1
=(7x2)+(3x+2x+x)+(3+1)
=7x2+6x+4
Answer:
=7x2+6x+4
what are the different methods in finding the LCM
Answer:
4 methods are there
Step-by-step explanation:
Find the prime factorization of each number.Write each number as a product of primes, matching primes vertically when possible.Bring down the primes in each column.Multiply the factors to get the LCM.please mark me as brainlist
What is the value of x? 5 + 1/5x = 5
Answer:
x = 0
Step-by-step explanation:
5 + 1/5x = 5
Subtract 5 from both sides.
1/5x = 0
Divide both sides by 1/5
x = 0
I hope this helps!
find the quotient. -105/15=
Answer:
-7
Step-by-step explanation:
Hope this helped! :)