The level of a lake was 8 inches below normal. It decreased 1 1/4 inches in June and 2 3/8 inches more in July. What was the new level with respect to the normal level?
It would be: 8 - (1 1/4 + 2 3/8)
8 - (5/4 + 19/8)
8-29/8
64-29/8
35/8 inches OR 4.375 is your answer
math question down below
what is the measure of xy
A circle is a curve sketched out by a point moving in a plane. The correct option is A, 137°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
In the given figure since W is the midpoint of ZY, therefore, the measure of arc ZV and arc VY will be equal; and ZX and XY will be equal. Also, it is given that the measure of arc ZV is 43°. Therefore, we can write,
mZV + mVY + mXY + mXZ = 360°
43° + 43° + mXY + mXY = 360°
2(mXY) = 360° - 43° - 43°
mXY = 274/2
mXY = 137°
Hence, the measure of arc XY is 137°.
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Of the students at Milton Middle School, 153 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?
Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7.20 per hour. Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6.50 per hour. Which of the following is a true statement?
Both plans will work for achieving the goal.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Two plans for reaching a goal are given below.
Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7.20 per hour.
Then the total amount after 8th weeks will be
⇒ 8 x 9 x 7.20
⇒ $518.4
Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6.50 per hour.
Then the total amount after 8th weeks will be
⇒ 6 x 15 x 6.5
⇒ $585
Both plans will work for achieving the goal.
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The volume of a baseball is about 13.39 cubic inches. What is the diameter? Round to the nearest tenth.
I REALLY NEED YOU PEOPLE'S HELP! Divide. 6 2/3 ÷ 1/5 Express your answer as a mixed number in simplest form, & I'll give you free points if you answer my next questions coming up. 20-50
Inductive reasoning involves developing a general rule from specific situations. True or false
Answer:
The answer is true
Step-by-step explanation:
Inductive reasoning is a principle in mathematical and philosophical logic where general conclusions are derived from specific situations. Its contrary is deductive reasoning where we use a general rule to explain particular situations, reasoning commonly used in mathermatics. Example: all right angles measure 90 degrees, AB is right angle so AB measure 90 degrees,
In inductive reasoning we use the opposite logic that can take to incorrect general principles due to a bias. Example, my friend is tall and a good basket player, Joe is tall and also plays good basketball so All tall people are good basket players is a biased conclusion.
A teacher let her students grade their math quizzes. •Jon wrote 13 out of 18 •Jim wrote .7 (repeated .7) •Joe reduced his to 5/6 who had the higher grade?
Answer:
Joe
Step-by-step explanation:
Jon wrote 13 out of 18
Dividing 13 by 18 we get, decimal form
[tex]\frac{13}{18}=0.722........[/tex]
Jim wrote .7 (repeated .7)
0.777..........
Joe reduced his to 5/6
Dividing 5 by 6 we get, decimal form
[tex]\frac{5}{6}=0.833........[/tex]
These numbers are irrational numbers
0.833......>0.777........>0.722......
So, Joe had the higher grade.
Which of the following inequality statements best represent the verbal expression? a number is at least 2
Answer:
it is the answer that the other person picked. i just got it right
Step-by-step explanation:
Which expression is equivalent to 2x - 17?
A) -17 + 2x
B) -2x + 17
C) -2x - 17
D) 17 + 2x
What is the value of the expression [(29+18)+(17-8)] divided by 8
a number decreased by 12 is 24
PL has endpoints P(4, −6) and L(−2, 1). The segment is translated using the mapping (x, y) → (x + 5, y). What are the coordinates of P’ and L’? P’(9, -6), L’(-2, 1) P’(4, -6), L’(3, 1) P’(9, -6), L’(3, 1) P’(9, -1), L’(3, 6)
Answer: C P’(9,-6), L’(3,1)
The coordinates of P' and L' after the translation are (9, -6) and (3, 1) respectively.
Explanation:A translation rule in mathematics describes the process of moving a geometric figure from one location to another without changing its shape or orientation. It involves shifting the figure horizontally or vertically by a certain distance. Translation rules are essential in geometry and are used to analyze and manipulate shapes on a coordinate plane.
The segment PL has endpoints P(4, -6) and L(-2, 1). To find the coordinates of P' and L' after being translated using the mapping (x, y) → (x + 5, y), we simply add 5 to the x-coordinates of P and L. Therefore, the coordinates of P' are (4 + 5, -6) which is equal to (9, -6), and the coordinates of L' are (-2 + 5, 1) which is equal to (3, 1).
Do you guys know what is 6y-3(4/3y-2)
Hiiiii pleaseeeee helppppp pleaseeeee understanddddd this question.
you have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. what is the greatest number of full batches of trail mix can you make?
To determine the greatest number of full batches of trail mix that can be made, divide the total quantity of each ingredient by the required amount per batch.
Explanation:To determine the greatest number of full batches of trail mix that can be made, we need to compare the quantities of granola and peanuts. First, we calculate the number of full batches we can make using granola. Since each batch requires 12 cups of granola, we divide the total quantity of granola (12 cups) by the required amount per batch (12 cups). The result is 1 full batch.
Next, we determine how many batches we can make using the peanuts. Since each batch requires 8 1/2 cups of peanuts, we divide the total quantity of peanuts (8 1/2 cups) by the required amount per batch (8 1/2 cups). The result is 1 full batch.
Therefore, the greatest number of full batches of trail mix that can be made is 1 batch.
A truck with a heavy load drove from Boston to New York at 45 mph. After unloading, it returned from New York to Boston at a speed of 65 mph. What was its average speed for the whole trip?
Answer:
Average speed: 585/11 or 53 2/11
Step-by-step explanation:
Let distance from New York to Boston, and vice-versa, be D
Then, time taken to travel from Boston to New York is: D/45
Also, time taken to travel from New York to Boston is: D/65
Total time taken for entire trip: D/45+D/65
Average speed: total distance/total time
Average speed: 2D/22D/585
Average speed: 53 2/11 or 585/11 mph
I don't get this at all and it's confusing me
A boy spent one-half of his money for a book and one-third of his money for a pen. The remaining $2.25 he saved. How much money did he have originally?
The required money that the boy has is $13.50 initially.
Given that,
A boy spent one-half of his money on a book and one-third of his money on a pen. The remaining $2.25 he saved, how much money he had originally to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the money boy has to be x,
According to the question,
x - x/2 -x /3 = 2.25
x(1 / 6) = 2.25
x = 2.25 × 6
x = $13.50
Thus, the required money that the boy has is $13.50 initially.
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Describe how you would use Distributive Property to simplify (39 x 5).
Find m <ABC (7x-1) (3x-9
Answer:
Therefore, [tex] \angle ABC = 48\degree[/tex]
Step-by-step explanation:
We need to find the [tex] \angle ABC[/tex]
Since, [tex] \angle DBC = 180\degree[/tex] ( since DBC is straight line )
[tex](7x-1)+(3x-9)=180\degree[/tex]
[tex]10x-10=180 \degree[/tex]
Add both the sides by 10 in above expression
[tex]10x-10+10=180\degree+10[/tex]
[tex]10x=180 \degree+10[/tex]
[tex]10x=190 \degree[/tex]
divide both the sides by 10 in above expression
[tex]x=\frac{190}{10}[/tex]
[tex]x=19 [/tex]
Hence, the value of x is 19.
Now, we will calculate [tex] \angle ABC[/tex]
[tex] \angle ABC = 3x-9[/tex]
Put x = 19 in above
[tex] \angle ABC = 3(19)-9[/tex]
[tex] \angle ABC = 57-9[/tex]
[tex] \angle ABC = 48[/tex]
Therefore, [tex] \angle ABC = 48[/tex].
if it takes 3 hours for 8 workers to paint a fence, how long would it take for 6 workers.
SHOW WORKING
Final answer:
It would take 6 workers 4 hours to paint the fence, as the total amount of work, 24 worker-hours, divided by 6 workers, gives 4 hours.
Explanation:
Let's tackle the problem by first determining the total amount of work done when 8 workers paint a fence in 3 hours. This work can be considered as 24 worker-hours (since 8 workers * 3 hours = 24 worker-hours). This total amount of work would stay the same regardless of the number of workers. So if 6 workers are going to do the same job, we'd divide the total work by the number of workers to find out how many hours it would take for 6 workers to complete the task.
Dividing the 24 worker-hours by 6 workers, we get:
24 worker-hours / 6 workers = 4 hours
Therefore, it would take 6 workers 4 hours to paint the fence.
In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
-3m+18 < 30
A nonlinear function that can be written on the standard form
ax2+bx+c,wherea≠0ax2+bx+c,wherea≠0is called a quadratic function.
All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
y=x2y=x2The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
x=−b2ax=−b2aThe y-coordinate of the vertex is the maximum or minimum value of the function.
a > 0 parabola opens up minimum value
a < 0 parabola opens down maximum value
A rule of thumb reminds us that when we have a positive symbol before x2we get a happy expression on the graph and a negative symbol renders a sad expression.
The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
x=−b2ax=−b2aThe y-intercept of the equation is c.
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.
Leon bought a dozen daisies for $3.75. What is the amount he paid per daisy (round to the nearest hundredth place)?
The amount he paid for per dairy is (rounded to the nearest hundredth would be) $0.31 (31 cents)
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, given that,
Leon bought a dozen dairies for $3.75
i.e. cost of 12 dairies = $3.75
Then, cost of per dairy = $3.75÷12
=$0.3125
(The answer would be $3.75/12 which equals to $0.3125. )
Hence, The amount he paid for per dairy is $0.31.
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162 water bottles in 9 cases, write each ratio as a unit rate
Multiply 7 x 462 using place value and expanded form. Choose the number from the box to complete the expression
To multiply 7 x 462 using place value and expanded form, we first write 462 as the sum of the products of its digits and their place values (400 + 60 + 2). We then multiply each component by 7 and add the results to get 3234.
Explanation:
To multiply 7 x 462 using place value and expanded form, you first need to break down the number 462 into expanded form. This means you write it as the sum of the products of its digits and their place values. We start at the right and move to the left: 2 (units), 60 (tens), and 400 (hundreds). So 462 in expanded form is 400 + 60 + 2.
The next step is to multiply each component by 7: 7 x 400 = 2800, 7 x 60 = 420, and 7 x 2 = 14. You add those results together to get your final answer: 2800 + 420 + 14 = 3234. So, 7 x 462 = 3234.
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A sport store pays $45 for a baseball glove and sells it for $75. What is the mark up?
what is 5/9-2/3×5/2=
Answer:
5/9-2/3×5/2=
5/9-5/3=
-10/9
Step-by-step explanation:
A recipe that yields 12 cups of soup calls for 28ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?