2. What is the difference in rainfall from the wettest and driest months?
Answers
The difference in rainfall between the wettest and driest months is 3.97 inches.
What is a bar graph?A bar graph is a graphical depiction of information, amounts, or numbers using bars or strips. They are utilized to contrast and compare various data types, frequencies, or other measurements of several categories of data.
On the graph, there are two axes. The numerical data is displayed against the category data on one axis, which is used to depict the numerical values.
Given the graph which shows the rainfall of the wettest and driest months,
here red blocks are for the driest months and blue blocks show the wettest months,
From the graph, we can see that the wettest month has a rainfall height of 2.3 inches
The driest month has a rainfall of -1.67 inches
So the difference between the two will be;
2.3 - (-1.67)
= 2.3 + 1.67 = 3.97 inches
Hence the difference is 3.97 inches.
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The complete question is,
The bar graph shows the differences in a city’s rainfall from the historical average. What is the difference in rainfall between the wettest and the driest months? Write your answer as a decimal.
The difference in rainfall between the wettest and the driest months is inches.
Related Questions
Express it to mathematical phrase:
Three added to four times a number
Answers
Answer:
4x + 3 = y
Step-by-step explanation:
Answer:
4x+3
there is no actual explanation
Three added= +3
four times a number= 4*x=4x
Look at the figure. Find TW.
VIEW THE IMAGE ATTACHED.
Answers
Answer:
TW = 9
Step-by-step explanation:
WY is the perpendicular bisector of TZ with TY ≅ ZY , then
Δ TWZ is isosceles with ZW ≅ TW , that is
3x = x + 6 ( subtract x from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Then
TW = x + 6 = 3 + 6 = 9
Hector plays a video game that awards gems based on how long he plays. He made this graph to study how his playing time relates to number of gems:
A graph plots t=playing time in hours on the horizontal axis, from 0 to 7, in increments of 1, versus g=total gems on the vertical axis, from 0 to 48, in increments of 8, on a coordinate plane. Points are plotted as follows: (2, 16), (4, 32), and (6, 48).
A graph plots t=playing time in hours on the horizontal axis, from 0 to 7, in increments of 1, versus g=total gems on the vertical axis, from 0 to 48, in increments of 8, on a coordinate plane. Points are plotted as follows: (2, 16), (4, 32), and (6, 48).
How many total gems will Hector get if he plays for
10.5
10.510, point, 5 hours?
gems
Answers
The number of gems that Hector will get if he plays for 10.5 hours is given as follows:
84 gems.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the table, the constant is given as follows:
k = 48/6 = 32/4 = 16/2 = 8.
Hence the equation giving the number of gems after playing for x hours is given as follows:
y = 8x.
After 10.5 hours, the number of gems is then given as follows:
y = 8 x 10.5
y = 84 gems.
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Answer:
84
Step-by-step explanation:
72 and 75 find the length of the third side of the right triangle
Answers
Answer:
[tex]3\sqrt{1201}[/tex]
Step-by-step explanation:
assuming the missing side was the long side or the c side
[tex]a^{2} +b^2=c^2\\72^2+75^2=c^2\\5184+5625=10809\\\sqrt{10809}=3\sqrt{1201}[/tex]
4. The sum of the first eight terms of an arithmetic sequence is 60. The sum of the 9th to 14th terms is 108. Find the 25th term.
Answers
Answer:
PLACEHOLDER SRRY BRB
Step-by-step explanation:
The formula for the sum of the first n terms of an arithmetic sequence is: Sn = n/2(2a + (n-1)d).
Using this formula, we can find the value of d:
For the first eight terms:
8/2(2a + (8-1)d) = 60
Solving for d:
d = (60 - 2a) / 14
For the next six terms:
6/2(2a + (9-1)d) = 108
Solving for a:
a = (108 - 6d) / 10
Now that we have the values of a and d, we can find the 25th term using the formula for the nth term of an arithmetic sequence: an = a + (n-1)d.
an = a + (25-1)d = a + 24d
Plugging in the values of a and d found above, we get the 25th term:
an = (108 - 6d) / 10 + 24 [(60 - 2a) / 14] = (108 - 6d) / 10 + 24 [(60 - 2(108 - 6d) / 10) / 14]
Simplifying further, we can find the 25th term
In the diagram below of triangle CDE, F is the midpoint of CE and G is the midpoint of DE. If m∠ECD=12+9x, m∠EFG=−2x+111, what is the measure of ∠EFG?
Answers
The measure of m∠EFG in triangle CDE is equal to 93 units.
What is the midpoint theorem?In Mathematics, the midpoint theorem states that in a triangle, the line segment which joins the midpoints of any two (2) sides of the triangle must be parallel to the third side and congruent to half of the length of the third side.
By applying the midpoint theorem to triangle CDE, the measure of m∠EFG can be calculated as follows;
m∠ECD = m∠EFG
12 + 9x = −2x + 111
9x + 2x = 111 - 12
11x = 99
x = 99/11
x = 9.
For line segment m∠EFG, we have the following:
m∠EFG = −2x + 111
m∠EFG = −2(9) + 111
m∠EFG = −18 + 111
m∠EFG = 93 units.
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Natalia bought 3 boxes of pencils and 9 reams of paper for $75. Ronnie bought 8 boxes of pencils and 5 reams of paper for $67. Set up and solve a system of equations by elimination to determine the cost of a box of pencils and a ream of paper.
Answers
The cost of a box of pencils is $4.
The cost of a ream of paper is $7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 1 = 6 is an equation.
We have,
Pencils = x
Reams of paper = y
Now,
Natalie:
3x + 9y = 75 _____(1)
Ronnie:
8x + 5y = 67 _____(2)
From (1) and (2)
Multiply 8 on (1)
Multiply 3 on (2)
24x + 72y = 600
24x + 15y = 201
(-) (-) (-)
57y = 399
y = 7
Now,
3x + 9y = 75
3x + 9 x 7 = 75
3x + 63 = 75
3x = 75 - 63
3x = 12
x = 4
Thus,
The cost of a box of pencils and a ream of paper are $4 and $7.
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Cala rolls a biased dice 40 times. It comes up with a three 14 times. Calculate the relative frequency of rolling a three.
Answers
The relative frequency of rolling a three is 14/40 or 0.35.
Answer14/40 or 0.35
Step-by-step explanation:
Number of times dice is rolled= 40
Number of times three comes up= 14
Relative frequency(Probability) = 14/40 or 0.35
Which equation is more appropriate for modeling this DATA?
Answers
The equation which is more appropriate for modeling this DATA is y = 64 × (1.25)^x
The correct answer choice is option A.
Which equation is more appropriate for modeling this DATA?y = 64 × (1.25)^x
when,
x = 1
substitute into the equation
y = 64 × (1.25)¹
= 64 × 1.25
= 80
y = 79 × 1.25^x
when x = 1
= 79 × 1.25¹
= 79 × 1.25
y = 98.75
79 + 1.25x
when x = 1
= 79 + 1.25(1)
= 79 + 1.25
= 80.25
64 + 22x
when x = 1
= 64 + 22(1)
= 64 + 22
= 86
Therefore, y = 64 × (1.25)^x is the equation which is more appropriate to represent the data.
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A person invested $7500 for 1 year, part at 6%, part at 9%, and the remainder at 15%. The total annual income from these investments was $867. The amount of money invested at 15% was $100 more than the amounts invested at 6% and 9% combined. Find the amount invested at each rate.
Answers
Answer: The amount invested at 6% was $1393.57, the amount invested at 9% was $306.13, and the amount invested at 15% was $1393.57 + $306.13 + $100 = $1800.70.
Step-by-step explanation:
Let's denote the amount invested at 6% as "x". Then, the amount invested at 9% would be "y", and the amount invested at 15% would be "z".
According to the problem, we have the following information:
x + y + z = $7500 (the total amount invested)
0.06x + 0.09y + 0.15z = $867 (the total annual income)
And,
z = x + y + $100 (the amount invested at 15% was $100 more than the amounts invested at 6% and 9% combined)
We can substitute the third equation into the first equation to get:
x + y + x + y + $100 = $7500
Simplifying:
2x + 2y + $100 = $7500
2x + 2y = $7400
Next, we can substitute "z = x + y + $100" into the second equation:
0.06x + 0.09y + 0.15(x + y + $100) = $867
Expanding:
0.06x + 0.09y + 0.15x + 0.15y + 0.15 * $100 = $867
0.21x + 0.24y + $15 = $867
0.21x + 0.24y = $852
Finally, we can solve for x and y using the equations "2x + 2y = $7400" and "0.21x + 0.24y = $852".
We can use elimination method to find x:
2x + 2y = $7400
0.21x + 0.24y = $852
Multiplying the first equation by 0.21:
0.42x + 0.42y = $1557.8
Subtracting the second equation from the first:
0.42x + 0.42y - 0.21x - 0.24y = $1557.8 - $852
0.21x - 0.03y = $705.8
Dividing both sides by 0.21:
x = $705.8 / 0.21 + 0.03y / 0.21
x = $3357.14 / 0.24 + y
Finally, substituting x back into the equation "2x + 2y = $7400":
2($3357.14 / 0.24 + y) + 2y = $7400
Expanding:
$6714.29 + 2.24y = $7400
Solving for y:
2.24y = $7400 - $6714.29
y = $685.71 / 2.24
y = $306.13
And finally, substituting y back into the equation "x = $3357.14 / 0.24 + y":
x = $3357.14 / 0.24 + $306.13
x = $1393.57
Therefore, the amount invested at 6% was $1393.57, the amount invested at 9% was $306.13, and the amount invested at 15% was $1393.57 + $306.13 + $100 = $1800.70.
i want my sparx to be done please help
Answers
(a) The perimeter of the rectangle in centimeter is 2,800 cm.
(b) The area of the rectangle is 450,000 cm².
What is the perimeter of the rectangle?The perimeter of the rectangle in centimeter is calculated as follows;
P = 2 ( L + B )
where;
L is the length of the perimeterB is the breadth of the perimeterThe length of the rectangle = 9 m = 900 cm
The breadth of the rectangle = 5 m = 500 cm
Perimeter = 2 ( 900 cm + 500 cm ) = 2,800 cm
The area of the rectangle is calculated as follows;
A = LB
A = 900 cm x 500 cm
A = 450,000 cm²
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If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 20t feet
in t seconds. How long will it take him to fall 130 feet? (Round your answer to two decimal places.)
Answers
It take the man 19.83 seconds to fall to 130 feet
How to determine how long will it take him to fall 130 feet?From the question, we have the following parameters that can be used in our computation:
h(t) = 12.5(0.2t − 1)^2 + 20
When the man reaches 130 feet, we have
h(t) = 130
Substitute the known values in the above equation, so, we have the following representation
12.5(0.2t − 1)^2 + 20 = 130
Using a graphing calculator, we have
t = 19.83
Hence, the time is 19.83 seconds
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Fill in the blank 12/18 =_/18 =14/_ =_/27
Answers
The value in the blank are: 12/18 =12/18 =14/9.3 =18/27.
What is cross multiplication?To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
The given fractions are as follows:
12/18 =_/18 =14/_ =_/27
Taking the first two terms and applying cross multiplication we have:
12/18 =_/18
12(18)/ (18) = x
x = 12
Taking the next two terms:
12/18 =14/ y
Applying cross multiplication we have:
y = (14)(12)/ (18)
y = 9.3
Taking the third term and applying cross multiplication we have:
12/18 = z/27
z =12(27)/ 18
z = 18
Hence, the blanks are:
12/18 =12/18 =14/9.3 =18/27
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10
Complete the equation for the line
shown in the graph.
6.67 y
-6.67
(0,2)
(1,-2)
10
y=[?]x + [ ]
Answers
Answer:
y= -4x+2
Step-by-step explanation:
diff in y / diff in x = slope
so the slope is (-2-2) /(1-0) = -4
intercept is whatever is on Y axis, it's 2
so y= -4x+2
Answer:
Step-by-step explanation:
Divide 100 by 16 and write the answer as a mixed number. Reduce the
fraction part of the mixed number. 6 1/4 here u go.
a comedy club earns $1088 from an opening night performance and $1183 from a second performance. on opening night the club sells 68 adult tickets sand 136 student tickets. on the second night the club sells 79 adult tickets and 140 student tickets what is the price of each ticket
Answers
Answer:
student tickets cost $4.50
adult tickets cost $7.00
Step-by-step explanation:
a = cost of an adult ticket
s = cost of a student ticket
(1) 68a + 136s = 1088
(2) 79a + 140s = 1183
solve (1) for a:
68a = 1088 - 136s
a = 16 - 2s substitute this into (2):
79(16-2s) + 140s = 1183
1264 - 158s + 140s = 1183 solve for s:
-18s = -81
s = -81/-18 = 4.50 plug this into either equation 1 or 2 to solve for a:
68a + 136(4.50) = 1088
68a = 1088 - 612 = 476
a = 476/68 = 7.00
. Describe the graph of the function. Y=sqrt x-7 +8
Answers
-7 would be going left and +8 would be going up
sqrt is the radical and the one inside is radicand.
Hope this help
An game is on sale for $28, which is 30% off the original price. What was the original price?
a$19.60
b$40.00
c$84.00
d$98.33
Answers
The solution is the original price was 93.33.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
An game is on sale for $28, which is 30% off the original price.
let,
the original price was x
ATQ,
x*30% = 28
x = 280/3
x=93.33
Hence, The solution is the original price was 93.33.
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Reid found 6 coins that totaled 61c in all. What coins did the find?
Answers
Reid found 1 quarter, 3 dimes, 1 nickel and 1 penny coins.
What is currency?Currency is anything that is generally accepted to have value as a medium of exchange so that it can be traded for goods and services.
Given that, Reid found 6 coins that totaled 61 cents in all.
Since, in total he got 6 coins that value 61 cents in total.
So, wd know that,
1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
1 penny = 1 cents,
Adding them = 25 + 10 + 5 + 1
= 41 cents
We need 20 cents and 2 coins more,
So, add 3 coins more in nickel, so, that,
3 nickels = 30 cents
Now, Reid in total will have 6 coins and that will value 61 c.
Hence, Reid found 1 quarter, 3 dimes, 1 nickel and 1 penny coins.
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Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 28° more than the measure of the second angle.
What is themeasure of each angle?
Answers
Answer:
The first one is 76°, second one is 38°, third one is 66°
Step-by-step explanation:
Suppose the second one is x, given the first one is twice of the second one, so the first one is 2x.
2x+x+(28°+x)=180°
4x=152°
x=38
So, the first one is 76°, second one is 38°, third one is 66°
What is the slope and y-intercept of this line?
y = –6x + 2
Answers
Answer:
the slope is -6
the y-intercept is 2
Step-by-step explanation:
y=mx+b where m is the slope and b is the y-intercept
a) Slope: -6;
b) y-intercept: 2, which means that the line touches the "y" axis on point (0, 2).
Step-by-step explanation:Given equation: [tex]y = -6x + 2[/tex].
Here's a little tip that will help you quickly find the slope and y-intercept.
First, solve the equation for "y". This equation is already solved for "y", this is called "slope-intercept form". Now, take a look at the attached image and identify the values. As you can tell, for the given equation, values are:
a) Slope: -6;
b) y-intercept: 2, which means that the line touches the "y" axis on point (0, 2).
You may verify this information using the algebraic methods (slope formula and substituting "x" by 0 and calculate "y"). It'll give you the same answer, this is just a faster way to find the values.
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g (-9) if g(x) = -6x + 6
Answers
54 + 6 = 60
g(-9) = 60
The two rectangles above are similar. If b = 18 mm, and c = 24 mm, and d = 36 mm, what is the length of a?
Answers
Answer:
The length of a is 36 mm.
Step-by-step explanation:
Similar rectangles have the same shape, but can have different sizes. The ratio of the lengths of corresponding sides of similar rectangles is always the same.
Given that b = 18 mm, c = 24 mm, and d = 36 mm, the ratio of the lengths of corresponding sides of the two rectangles is c/d = 24/36 = 2/3.
So, the length of a is equal to b * (c/d) = 18 * (2/3) = 36 mm.
A recipe for flapjacks uses only syrup, sugar, butter and oats,
in the ratio 1: 2:2:4
a) Tiger makes some flapjacks using this recipe and uses 60g of syrup.
(i) What quantity of butter should he use?
g
(ii) What will be the total quantity of flapjacks he makes?
b) Using this recipe, 150g of syrup are needed to make 8 flapjacks.
Find the quantity of oats needed to make 12 of these flapjacks.
Optional working
+
Answer:
g
g
Answers
The quantity of butter that should be used is 120g. ii. The total quantity of flapjacks would be: 540g. b. The amount of oats would be: 75g.
What is ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
Given that the ratio of ingredients for the recipe is 1: 2: 2: 4.
Let us suppose the syrup has a ratio of 1x, then the ratio of other ingredients are:
sugar = 2x
butter = 2x
oats = 4x
a. Tiger uses syrup, x = 60g
i. The quantity of butter that should be used is 2x = 2(60) = 120g.
ii. The total quantity of flapjacks would be:
x + 2x + 2x + 4x = 60 + 120 + 120 + 240 = 540g
b. Given that:
150g syrup = 8 flapjacks
x = 1 flapjack
Using the cross multiplication method, we have:
x = 150/8
x = 18.75g
So, for one flap jack the syrup needed is 18.75g, then the amount of oats would be: 4x = 4(18.75) = 75g.
Hence, the quantity of butter that should be used is 120g. ii. The total quantity of flapjacks would be: 540g. b. The amount of oats would be: 75g.
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what is the answer for
−7x−y=0
Answers
Answer: y=-7x-0 if solving for literal y or x=y+0/-7 if solving for literal x.
Step-by-step explanation:
-7x-y=0
add (+) 7x to both sides
-y=7x+0
then divide by -1
y=-7x-0
-------------------------------------
for literal X
-7x-y=0
add y to both sides
-7x=y+0
then divide by -7\
x=y+0/-7
Tracy bought a wristwatch for $845.00. She made a down-payment of $95.00 and financed the rest with six monthly payments of $128.75. Find the total installment price and total interest.
Answers
The total amount of the six monthly payments is 6 * $128.75 = $773.50
So, the total interest Tracy paid is $773.50 - $750.00 = $23.50
Therefore, the total installment price is $773.50 and the total interest is $23.50
Please help me I WILL GIVE BRAINLIEST! This question is 10 points!!
Answers
Hence,
Option B
Answer: D
Step-by-step explanation:
Srry, Im really bad at explaining but the answer is prob D
Find all the missing angles in the diagram below. Explain how you used at least two different angle theories to find some of these angles.
Answers
Answer:
Angle A is 90, angle B is 50, angle C is 90, and angle D is 40.
Answer:
<A = 90
<B = 50
<C = 90
<D = 40
Step-by-step explanation:
C:
vertical angles are congruent so the angle left of C is 40. The angle right to C is 50 because alternate interior angles are congruent
The three angles together are supplemental
180 - 50 - 40 = 90
A:
A = C vertical angles are congruent
A = 90
D:
A, D and 50 are supplemental
180 -90-50 = 40
B
The sum of the interior angles of a triangle are 180
180 - 40 - 90 = 50
Last April, it rained in Danville on ten days. This graph shows how much rain fell on each day.
Answers
The difference in rainfall between the wettest and driest days is 3/8 inches.
3.0 inches of rain—is that a lot?The intensity of the rain is typically categorized as light, moderate, or heavy. Light precipitation is defined as less than 0.10 inches per hour. Rainfall that is considered moderate ranges from 0.10 to 0.30 inches per hour. More than 0.30 inches of rain per hour is considered heavy rainfall. under 0.5 mm per hour. Greater than 0.5 mm per hour but less than 4.0 mm per hour is considered moderate rain. Greater than 4 mm per hour but less than 8 mm per hour is considered heavy rain. greater than 8 mm per hour of extremely intense rain.
Rainfall in Rainiest day = 5/8
Rainfall in driest day = 2/8
So, The Difference = 5/8 - 2/8 = 3/8 inches
Hence, rainfall on the rainiest day 3/8 more than driest day
Proper fraction = 3/8
Mixed fraction = 8/2 inches.
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Another operation that can be defined on sets A and B is the difference of the sets, denoted by
A − B.
Here is the formal definition of the difference of sets A and B.
A − B = {x | x is in A and x not in B}
Thus
A − B
is the set of elements that belong to A but not to B. For instance, let
A = {1, 2, 3, 7, 8}
and
B = {2, 7, 11}.
Then
A − B = {1, 3, 8}.
Determine the difference, given that
U = {1, 2, 3, 4, 5, 6, 7, 8, 9},
A = {2, 4, 6, 8},
and
B = {1, 4, 6, 9}.
(Enter your answers as a comma-separated list.)
A − B'
Answers
Answer:
Step-by-step explanation:
To find the difference A - B', we need to first find the complement of B, denoted by B', which is the set of all elements in U that are not in B.
Given that U = {1, 2, 3, 4, 5, 6, 7, 8, 9},
B = {1, 4, 6, 9},
then B' = {2, 3, 5, 7, 8}.
Next, we find A - B' by looking for the elements that belong to A and not to B':
A - B' = {2, 4, 6, 8} - {2, 3, 5, 7, 8} = {4, 6, 8}.
(100 POINTS!) In parallelogram JKLM if JL=32 find JN.
Answers
Answer:
JN = 16
Step-by-step explanation:
Since diagonals in parallelograms bisect each other, JN = [tex]\frac{1}{2}[/tex]JL
Answer:
To find JN in parallelogram JKLM when JL is 32, you can draw a line from J to L, and then extend the line to find JN. The length of JN will be equal to 32.