Answer: C= 0.25 + 0.20n
Step-by-step explanation:
Let n be the number of ounces of the letters.
As per given,
Cost per ounce = $0.45
Additional cost per ounce = $0.20
So, the equation to represent the total cost, C, to mail a first class letter that weighs n ounces will be
C= 0.45 + (n-1)(0.20)
⇒ C= 0.45 + 0.20n-0.20
⇒ C= 0.25 + 0.20n
Hence, the required equation is C= 0.25 + 0.20n .
Jesse estimates that it will cost $300,000 to send his newborn son to a private college in 18 years. He currently has $65,000 to deposit in an account. What simple interest rate would he need so that $65,000 grows into $300,000 in 18 years
Answer:
Simple interest rate (R) = 20% (Approx)
Step-by-step explanation:
Given:
Final amount (A) = $300,000
Number of year (T) = 18
Amount deposit (P) = $65,000
Find:
Simple interest rate
Computation:
interest = Final amount (A) - Amount deposit (P)
interest = $300,000 - $65,000
interest = $235,000
interest = [PRT] / 100
235000 = [(65,000)(R)(18)] / 100
Simple interest rate (R) = 20.085
Simple interest rate (R) = 20% (Approx)
A. Write an expression to represent the difference between the two points shown on the number line. B. Find the distance between the two points. [Hint: Remember that distance is always positive.]
Answer:
Step-by-step explanation:
A: The distance is the sum of |-1.6| and 0.3: |-1.6| + 0.3
B. This distance is 1.6 + 0.3 = 0.9
An overseas telephone company charges $4 for the first minute of talking and then $0.25 for each additional minute. If a woman spent $13.75 talking on the phone, how many minutes did she talk for?
Answer:
39 minutesStep-by-step explanation:
In this problem we can see that there is a constant/flat rate charge of $4 on every first minute
we can model the cost for calls as
[tex]y= 4+0.25x------1[/tex]
where x is the number of extra minutes spent
given that y = $13.75
We can simply substitute our given values into the equation 1 above and solve for x
[tex]13.75= 4+0.25x\\\\13.75-4= 0.25x\\\\9.75=0.25x[/tex]
Divide both sides by 0.25 to find x
[tex]x= 9.75/0.25\\\\x=39[/tex]
A liter of water contains about (first image) molecules. A certain river discharges about (second image) L of water every second. About how many molecules does the river discharge every minute? Write your answer in scientific notation.
================================================
Work Shown:
1 second = 2.3 * 10^7 liters of water
60*1 second = 60*2.3* 10^7 liters of water
60 seconds = 138 * 10^7 liters of water
1 minute = (1.38 * 10^2) * 10^7 liters of water
1 minute = 1.38 * (10^2*10^7) liters of water
1 minute = 1.38 * 10^(2+7) liters of water
1 minute = 1.38 * 10^9 liters of water
The river discharges 1.38 * 10^9 liters of water per minute.
--------------------------------
1 liter = 3.35 * 10^25 molecules
1.38 * 10^9*1 liter = 1.38 * 10^9*3.35 * 10^25 molecules
1.38 * 10^9 liters = (1.38*3.35) * (10^9*10^25) molecules
1.38 * 10^9 liters = 4.623 * 10^(9+25) molecules
1.38 * 10^9 liters = 4.623 * 10^34 molecules
1 minute = 4.623 * 10^34 molecules
-------------------------------
Every minute, about 4.623 * 10^34 molecules of water are discharged from the river.
2
)
The
population
of
a
town
was
568.
During
that
year
236
persons
migrated
to
it
.
What
is
the
present
population
of
the
Su
town?
Answer:
[tex]\huge \boxed{\mathrm{804}}[/tex]
Step-by-step explanation:
[tex]\sf The \ initial \ population \ of \ the \ town \ was \ 568.[/tex]
[tex]\sf 236 \ migrated \ to \ the \ town.[/tex]
[tex]568+236[/tex]
[tex]=804[/tex]
[tex]\sf The \ present \ population \ of \ the \ town \ is \ 804.[/tex]
Answer:
[tex]\huge\boxed{ 804}[/tex]
Step-by-step explanation:
Prior Population = 568
Added People = 236
Current Population = 568 + 236
=> 804
Which value goes in the empty cell?
Answer:
[See Below]
Step-by-step explanation:
If you replace the x with -1 and evaluate the function you get -5.
Round 543,982 to the nearest thousand.
Answer:
544,000
Step-by-step explanation:
Answer:
544,000
Step-by-step explanation:
you look at the thoundsands place which is the three, then you look at the digit to the right ( 5-10 round up, below 0-4 round down)
Richard ran the route A-B-C-D-E-F-G-H-A. Which of the following paths taken by Richard appear to be perpsndicular to path BC?
Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements.
f(4) is
f(x) = 4 when x is
و بہادن دا
8
2
3
11
3
4
1
2
Answer:
f(4) is 1/2
f(x)= 4 when x is 8
In a mixture of 60 litres, the ratio of milk to water is 2:1. If this ratio is to be 1:2,then find the quantity of water to be further added.
Answer:
Quantity of milk = 60 x 2/3 litres = 40 litres.
Quantity of water in it = (60- 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres.
Then, milk : water = 40 /20 + x
Now, 40 /20 + x = 1/2
20 + x = 80
x = 60.
Quantity of water to be added = 60 litres.
Find the 135th term in the sequence of numbers below -4,9,22,35
Answer:
135th term=1738
Step-by-step explanation:
formula is an=a+(n-1)dso here a=-4
d=13
a135=-4+(134)13
=-4+1742
a135=1738
if 2x - 10 is x+25 how do u find x
Answer:
x=35
Step-by-step explanation:
[tex]2x - 10 = x + 25 \\ ⟹ 2x - x = 25 + 10 \\ ⟹ x = 35[/tex]
X=35
Step-by-step explanation:
2x - 10 = x + 25
2x - x = 25 + 10
Hence, x = 35
Is x = 3 a solution of the equation 3x − 5 = 4x − 9? Explain.
Answer:
no because on is equal to 3 when plugged in and the other is equal to 4 when plugged in.
Step-by-step explanation:
[tex]3(3)-5=4\\4(3)-9=3[/tex]
Josh weighed cantaloupes he picked from his garden. This line plot shows the cantaloupe weights. What is the total weight of all the cantaloupes that weigh no more than 2 pounds? 712 lb 10 lb 15 lb 20 lb
Answer:
Step-by-step explanation:
From the plot line you have (1x3) + (2x 1 1/4) + (3x 1 1/2) = 10
The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.
Calculation of the total weight:Since Josh weighed cantaloupes he picked from his garden.
So here the total weight should be like
[tex]= (1\times 3) + (2\times 1\ 1\div 4) + (3\times 1\ 1\div 2)[/tex]
= 10
hence, The total weight of all the cantaloupes that weigh no more than 2 pounds should be 10.
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Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds. In feet, what is the length of the other piece?
Answer: 4.5 pounds.
Step-by-step explanation:
Given : Weight of original pipe =45 pounds
Weight of first piece = 18 pounds
Then, Weight of other piece = 45- 18 = 27 pounds
Length of first piece = 3 feet
Let x be the length of other piece.
As length is directly proportional to weight.
Then, [tex]\dfrac{x}{27}=\dfrac{3}{18}[/tex]
[tex]\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5[/tex]
Hence, the he length of the other piece = 4.5 pounds.
Linda Gramham's Cinnamon Sugar Graham Cupcake recipe for 36 cupcakes requires 1 1/4 cups of sugar. How much sugar is required for 900 cupcakes? Reduce to lowest terms.
Answer:
31.25 or 31 1/4 cups
Step-by-step explanation:
1 1/4 = 36
x = 900
=> 5/4 = 36
x = 900
Cross multiply
=> 5/4 * 900 = 36 * x
=> 4500/4 = 36x
=> 1125 = 36x
=> 1125 / 36 = 36x / 36
=> 31.25 = x
31.25 = 31 1/4
So, 31.25 or 31 1/4 cups are required for 900 cupcakes.
[tex]\frac{125}{4}=31\frac{1}{4}[/tex] cups of sugar is required for 900 cupcakes.
First, it is convenient to convert the mixed fraction corresponding to the time to improper. To do this, the integer is multiplied by the denominator, to which the numerator is added. Divide this result by the denominator. The denominator of the improper fraction will be the same as the mixed number had. In summary:
[tex]a\frac{b}{c}=\frac{c*a+b}{c}[/tex]
In this case:
[tex]1\frac{1}{4}=\frac{4*1+1}{4}[/tex]
Solving:
[tex]1\frac{1}{4}=\frac{4+1}{4}[/tex]
[tex]1\frac{1}{4}=\frac{5}{4}[/tex]
On the other side, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, where a, b and c are known and x is the value to be calculated:
a ⇒ b
c ⇒ x
So:
[tex]x=\frac{cxb}{a}[/tex]
In this case, the rule of three can be applied as follows: Linda Gramham's Cinnamon Sugar Graham Cupcake recipe for 36 cupcakes requires [tex]1\frac{1}{4}=\frac{5}{4}[/tex] cups of sugar. If 900 cupcakes are made, how much sugar is required?
36 cupcakes ⇒ [tex]\frac{5}{4}[/tex] cups of sugar
900 cupcakes ⇒ x
Then:
x= (900 cupcakes× [tex]\frac{5}{4}[/tex] cups of sugar)÷ 36 cupcakes
Solving:
x= [tex]\frac{125}{4}[/tex] cups of sugar
In summary,[tex]\frac{125}{4}=31\frac{1}{4}[/tex] cups of sugar is required for 900 cupcakes.
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Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags. What will Kermit think of Peggy's iced tea?
Answer:
c its right on khan
Step-by-step explanation:
The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU:UV:VWTU:UV:VW is equal to 2:5:5.2:5:5. If TW=24,TW=24, find UV.UV.
Answer:
[tex]UV = 10[/tex]
Step-by-step explanation:
Given
[tex]TU : UV : VW = 2 : 5 : 5[/tex]
[tex]TW = 24[/tex]
Required
Determine UV
From the given parameters, we have that:
Ratio of TU = 2
Ratio of UV = 5
Ratio of VW = 5
First, we have to add up the total ratio;
Total = Ratio of TU + Ratio of UV + Ratio of VW
[tex]Total = 2 + 5 + 5[/tex]
[tex]Total = 12[/tex]
Next is to calculate the length of UV; as follows;
[tex]UV = \frac{Ratio\ of\ UV}{Total\ Ratio} * TW[/tex]
Substitute 5 for Ratio of UV; 12 for Total Ratio and 24 for TW
[tex]UV = \frac{5}{12} * 24[/tex]
[tex]UV = \frac{5 * 24}{12}[/tex]
[tex]UV = \frac{120}{12}[/tex]
[tex]UV = 10[/tex]
Hence; length of UV is 10 units
-4 + (-1) on a number line
Answer:
-5
Step-by-step explanation:
+-=-
-4-1=-5
A job market expert said, “If this trend continues, we will see further increase in employees.” Which of the following graphs could represent the expert’s statement? a. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 6,570 on January 2000, increases to 6,800 on January 2001, decreases to 6,650 on March 2003, increases steadily to 7,300 on March 2006, stays at 7,300 on January 2007, then decreases steadily to 6,150 on August 2009. b. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 15,000 on January 2000 and increases steadily, to 16,300 on January 2003, 17,00 on January 2006, and 19,100 on January 2009. c. A line graph showing years on the x-axis and all employees, thousands on the y-axis. Line starts at 590 on January 2000, increases slightly to 615 on July 2001, decreases to 560 on March 2003, increases steadily to 790 on September 2008, then decreases sharply to 710 on August 2009. d. None of these
Answer:
the answer is B
Step-by-step explanation:
b
Answer:
B on edge
Step-by-step explanation:
Anna's hair has grown 2/3 of an inch in the 6 weeks since her last haircut. How fast does her hair grow?
Answer:
1/9th of an inch
Step-by-step explanation:
2/3 times 6 = 2/18 = 1/9
Answer:
1/9
Step-by-step explanation:
solve this: a triangle has an engle of 38. this is a scalene right triangle. one of the sides are 8 in length. what are the other angles?
Answer:
52°, 90°
Step-by-step explanation:
The two acute angles in a right triangle are complementary, because the third angle is 90°. For acute angles A and B, we must have ...
90° + A + B = 180°
A + B = 90° . . . . . subtract 90°; definition of complementary angles
B = 90° - A
For angle A = 38°, this tells us ...
B = 90° -38° = 52°
The other two angles in the triangle are 90° and 52°.
Find the side of a square, whose area is equal to the area of a rectangle with sides 6.4m and 2.5m. Also find the perimeter of the square.
Answer:
side: 4 metres
perimeter: 16 metres
Step-by-step explanation:
Let's first find the area of this rectangle.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width. Here, the length is l = 6.4 and the width is w = 2.5. Plug these in:
A = lw
A = 6.4 * 2.5 = 16 metres squared
We want to find the side of a square with area 16. Suppose the side length is x. The area of a square is denoted by A = x * x = x², so set this equal to 16:
x² = 16
x = √16 = 4
Thus, the side length is 4 metres.
The perimeter of a square is denoted by P = 4s, where s is the side length.
Here the side length is 4 metres, as we found, so:
P = 4s = 4 * 4 = 16
Hence the perimeter is 16 metres.
[PLEASE ANSWER FAST] A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?
Answer:
525
Step-by-step explanation:
Since the submarine is 150 (you didn't specify the units) below sea level, we can express its position as -150. Therefore, 375 - (-150) = 375 + 150 = 525.
ASAPPPPP -2.0 * (-3.6)
Answer:
the answer is 7.2
Step-by-step explanation:
Answer:
7.2 or [tex]\frac{36}{5}[/tex]
Step-by-step explanation:
-2.0 * (-3.6) = [tex]\frac{36}{5}[/tex]
[tex]\frac{36}{5}[/tex] = 7.2
it becomes positive becomes two negative numbers are involved
e. Is the a discrete random variable, a continuous random variable, or not a random variable? height of a randomly selected giraffe A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.
Answer:
The correct answer is:
It is a continuous random variable (B)
Step-by-step explanation:
Continuous Random Variables are variables that take on a number of possibilities of values that cannot be counted. The values have infinite possibilities. In this example, the height of a Giraffe measured in meters can be an unlimited possibility if values say, 10.5m, 15.22m 12.0m etc. The possibilities are endless.
Discrete Random variables are variables that take on a number of possibility of occurrences that can be counted. For instance, if a dice is rolled, the possibilities can either be a 1, 2, 3, 4, 5 or 6. There are six values that can be gotten, nothing in-between.
I think the answer is B.
Please check to make sure.
Does anyone know this
Answer:
A
Step-by-step explanation:
To figure out whether a graph is a function, you need to use the line test. The line test is where you pass a vertical line over the graph. If the vertical line crosses the graph more than once, the graph is not a function. You can use your pencil as a vertical line.
Graph 1 is not a function because the vertical line will cross the graph twice.
Graph 2 is a function because the vertical does not cross the graph twice.
Graph 3 is not a function because the vertical line will cross the graph twice.
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
45°
60°
120°
135
Answer:
∠ Y = 45°, ∠ X = 135°
Step-by-step explanation:
Since the 2 angles are supplementary, then
X + Y = 180 ← substitute X = 3Y
3Y + Y = 180, that is
4Y = 180 ( divide both sides by 4 )
Y = 45
and
X + Y = 180, so
X + 45 = 180 ( subtract 45 from both sides )
X = 135
Thus
∠ X = 135° and ∠ Y = 45°
Answer:
the answer is 135
Step-by-step explanation:
A box contains 84 chocolates, of which 63 are dark chocolate. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box?
Answer:
21:84
Step-by-step explanation:
You subtract 63 from 84 and get 21. It then asks to compare it to the total number which it said was 84. It could be represented in a few ways:
21:84
21/84 (fraction)
Answer:
no.of milk chocolates:no. of total chocolate
1 : 4
Step-by-step explanation:
firstly we can take ratio as 21:84 Then, we can simplidy it dividing by 4 as following way,
21 : 84
4 4
then we can get 1 : 4 as the answer.
Could someone help me with these 2 it’s for biology class but it’s a math related question.