Answer:
-3x-7
Step-by-step explanation:
Combine like terms
-6+-1 = -6-1 = -7
Hence, it's -3x-7
12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.
Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.
The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.
Answer:
1.The width of the new gym is 40
2.The length and width of the new gym are
times the length and width of the old gym 2
Answer:
The width of the new gym is 40 meters.
The length and width of the new gym are 2 times the length and width of the old gym.
Step-by-step explanation:
if triangle ocd ≅ triangle JAL, then which of the following statements are true?
Answer:
I III and IV
Step-by-step explanation:
According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Given :
Triangle OCD ≅ Triangle JAL
The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.
So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/10629211
What is the location of H' after the image is rotated 180 degrees?
Answer:
The answer is B
Step-by-step explanation:
If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)
The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone
The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
Describe Function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.
More formally, a function f from a set X to a set Y is denoted as f: X → Y
For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.
Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.
Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.
The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:
C(x) = 2(x - L) + 40
where:
C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).
L is the speed limit (in mph).
(x - L) represents the number of miles per hour over the speed limit that the car was traveling.
The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.
To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:
C(50) = 2(50 - 35) + 40
C(50) = 2(15) + 40
C(50) = 30 + 40
C(50) = $70
Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
To know more about number visit:
https://brainly.com/question/29766862
#SPJ1
Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.
Answer:
33.6+(-5.5)=28.1
Step-by-step explanation:
Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.
To evaluate the expression, we can do 33.6-5.5.
When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.
33.6-
5.5
Then you can subtract normally, getting 28.1
PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT
someone help with this ASAP I HAVE FEW MINS !!!
Answer:
Symmetric
Step-by-step explanation:
Two pounds of grapes cost $6. How many pounds of grapes can
you get for $1? (hint: write a repeating decimal as a fraction)
Answer:
1/3 of a pound .333
Step-by-step explanation:
6/2 =3
1/3= .333
Answer:
1/3 to 1 and 1 to 3
Step-by-step explanation:
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?
I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!
Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.
PLEASE HELP
Answer:
okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17
explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry :(
solve 3(x-4)=16+5x show work
Answer:
hi… I think it's written that way
the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?
Answer:
p[
Step-by-step explanation:
p[
Melanie had 3 pounds of dried fruit. She packed the dried fruit into bags of 3/8 pound each. How many bags of dry fruit does she pack?
Answer: 8 bags
Step-by-step explanation:
From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.
For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:
= 3 ÷ (3/8)
= 3 × (8/3)
= 8
Therefore, she will pack 8 bags of dried fruit.
please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
deleted)
Which point lies on the graph of the function shown below y=-x^2+5x-3
A.(1,4)
B.(0,3)
C.(2,3)
D.(-2,2)
Answer:
C: (2,3)
Step-by-step explanation:
to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you
help show work
assig 8
(a)solve the inequality
(b)graph the solution on the real number line.
(c)write the solution in interval notation.
29
30
31
32
33
Answer: see below
Step-by-step explanation:
29) -5x ≥ 30
÷ -5 ↓ ÷ -5
x ≤ -6
Graph: ←--------- ·
-6
Interval Notation: (-∞, 6]
30) -4x < -40
÷ -4 ↓ ÷ -4
x > 10
Graph: o---------→
10
Interval Notation: (10, ∞)
31) 2x - 5 ≥ -11
+5 +5
2x ≥ -6
÷ 2 ÷ 2
x ≥ -3
Graph: · ---------→
-3
Interval Notation: [-3, ∞)
32) 8 - 3x > 20
-8 -8
-3x > 12
÷ -3 ↓ ÷ -3
x < -4
Graph: ←---------o
-4
Interval Notation: (-∞, -4)
33) 4x - 11 < 7x + 4
-7x -7x
-3x - 11 < 4
+ 11 +11
-3x < 15
÷ -3 ↓ ÷ -3
x > -5
Graph: o---------→
-5
Interval Notation: (-5, ∞)
Which expression is equivalent to 5 (h + 9)?
Answer:
5(m+9) = 5m+25
Answer:
5(m+9) = 5m+25
Step-by-step explanation:
durrrrrrrrrrrrrrr
PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
which two ratios quantities that are proportional
A. 9/5 and 19/10
B. 25/25 and 20/24
C. 4/6 and 10/16
D. 15/10 and 21/14
Answer:
A
Step-by-step explanation:
9/5 and 19/10 so yeah hope it helps
Answer:
C. 15/10 and 21/14
Explanation:
A P E X
Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one.
Answer:
We Subtract
Her weight on her third birthday = 36.94 pounds
Step-by-step explanation:
Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION
Leslie GAINED 5.54 pounds between her third and fourth birthdays.
This means she added weight
She weighed 42.48 pounds on her Fourth birthday
Hence, Her weight in her third birthday is:
Third birthday + 5.54 pounds = 42.48
$42.48
Third birthday = 42.48 - 5.54
= 36.94 pounds
Her weight on her third birthday = 36.94 pounds.
Plz help me I’ll give brainliest!!
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (4, 1 )
with k = 1
Please answer this.. please
Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?
What is the slope of the line?
I NEED HELPP?!
Answer:
Slope of a line = rise/run
Your answer:
m = 8/5
29 2/3 divide 7 1/2
what’s the answer
Answer:2 5/42 or 89/42
Step-by-step explanation:
What Is 2+4? I need to know.
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6! Hope this helps have a great night!!!!
Step-by-step explanation:
May I plz have brainliest?
rrange the numbers in decreasing order.
a.
8.508
8.58
7.5
7.058
Answer:
8.58
8.508
7.5
7.058
Step-by-step explanation:
Answer:
8.58, 8.508, 7.5, 7.058
Step-by-step explanation:
Um, I think this means greatest to least.
8.58, 8.508, 7.5, 7.058
Look at the place values.
50 points plus Brainnlest for right answer
What is the equation?
What should you replace for each given variable?
What should you solve for?
Equations: 60x + 3000 = 3,000, 600 + 150y = 3000
X: 20
Y: 10
You should solve for x & y
Q1: 0, it's already filled up to the max of 3000 pounds.
Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16
I hope this helped, ask if you need more help :)