0.0417 in scientific notation

Answers

Answer 1
Answer: 4.17 x 10^-2 is the answer

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Fifth grade 120 dollars Sixth grade 180 dollars Seventh grade 240 dollars Eighth grade 300 dollars. a.Write three statements that the principal could makewhen comparing the goals each grade has set. b. The teachers set a goal of $225. Write two statements the principal could use to compare this goal to the eighth graders' goal

Answers

The statements that the principal could make when comparing the goals each grade has set are: 7th-grade plan to raise double the 5th grade, 6th-grade plan to raise (3)/(2) 5th grade.6th-grade plan to raise (2)/(3) of 8th grade.

How do we compare numbers?
A comparison statement is, in general, just a statement that compares two quantities or values. For instance, "If we add x apples to 3 apples, then the total number of apples is less than 10 apples" or "Mary's height is the same as Milly's height."

In the given question, we have:

The amount with 5th grade is 120 dollars

The amount with 6th grade is 180 dollars

The amount with 7th grade is 240 dollars

The amount with 8th grade is 300 dollars

So, When we double that with 5th grade will be 240 dollar

Hence, The first statement can be a 7th-grade plan to raise double the 5th-grade.

Similarly,

If we multiply (3)/(2) by the amount of 5th grade, we get 180 dollars.

and, when we multiply two-thirds of the 8th-grade amount, we get 180 dollars.

Hence, The three statements that we can write are:

7th-grade plan to raise double the 5th grade.

6th-grade plan to raise (3)/(2) 5th grade.

6th-grade plan to raise (2)/(3) of 8th grade.

(b)The two statements that could use to compare the goal to 8th graders are:

6th-grade plan to raise (2)/(3) of 8th grade.

8th-grade plan multiplied by (4)/(5) gives 7th grade plan.

When we multiply 300 by (4)/(5) the amount we get 240 dollars.

Hence, The statement that the principal could use to compare the goal to the 8th grader's goal is:

6th-grade plan to raise (2)/(3) of 8th grade.

8th-grade plan multiplied by (4)/(5) gives 7th grade plan.

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1. The higher the grade, the higher the goal2. The goal increases by 60$ each time3. All the goals are bigger than 100$

What is a system of equations?

Answers

Answer and Step-by-step explanation:

A system of equations is a group of equations that need to be manipulated in some way that will figure out the values of the variables.

The most common system of equations seen is a system of linear equations, which means that the degree of the variables is no more than 1. These can be solved using elimination, substitution, or even graphing, if applicable.

Hope this helps!

Answer:

A system of equations is 2 or more equations that need to be solved. When you solve a system of equations, the answer is where the equations intersect on a graph. Sometimes there is 2 solutions (equations intersect twice), 1 solution (equations intersect once), no solution (equations don't intersect), or infinite solutions ( equations are the same).

They are usually solved using substitution, elimination, or simply looking at a graph to see where the lines intersect.

Some examples:

2x+3y=15

x-3y=3

y=x^2+1

2x-y= -4

A triangle's perimeter is x2-3x+10. Side 1 is -8x+5 and side 2 is 3x+3. What is the third side?

Answers

p = s1 +s2+s3

x^2-3x+10 = -8x+5 +3x+3 +s3

combine like terms

x^2 -3x+10 = 5x+8 +s3

subtract (5x+8) from each side

x^2 -8x +2 =s3


The third sdie is x^2 -8x+2

On Monday, stock A's price fell 0.67 and stock B's price fell 0.60. Stock C's price did not fall as much as stock A's, but it fell more than stock B's. Which answer choice shows a reasonable answer for how much stock C's price fell? A) -0.70
B) -0.63
C) -0.56
D) -0.48

Answers

First lets write down what we know....

Stock A dropped 0.67, so...

StockA= -0.67

Stock B dropped 0.60, so...

StockB= -0.60

Stock C dropped more than Stock B but not as much as Stock A, so we can write the inequality:

StockB≥StockC≥StockA

Now lets fill in the values that we know...

-0.60 ≥ StockC ≥ -0.67

So we're looking for a number in between -0.60 and -0.67...

A) -0.70 is NOT between the two numbers

B) -0.63 IS between the two numbers

C) -0.56 is NOT in between the two numbers

D) -0.48 is NOT in between the two numbers

Answer= B) -0.63


Answer the questions

Answers

10) 1 gallon of water for every inch of the fish's body length.
a) 2 1/2 inches long fish needs 2 1/2 gallon of water.
b) tank: l = 7 inches ; w = 5 inches; h = 7 ; volume = 7in * 5in * 7in = 245 in³
c) no. her fish tank is not large enough for the fish.
volume of 1 gallon of water is 231 in³, water needed is 2 1/2 gallon, so 5/2 * 231 in³ = 577.50 in³ volume.

11) volume = 7in * 3.5in * 1.75 in = 42.875 in³ 
weight of the brick = 0.1 pound per cubic inch ⇒ 42.875 in³ * 0.1 lb = 4.2875 pounds
weight of the gold bar = 0.7 pound per cubic inch ⇒ 42.875 in³ * 0.7 lb = 30.0125 pounds

12) l = 55cm ; w = 40cm ; h = 30 cm
volume = 55cm * 40cm * 30cm = 66,000 cm³

The longest side of a triangle is twice as long as the shortest side the remaining side is 25cm find the length of the other two sides if the perimeter is 70 cm

Answers

Hello There,

There are 3 aspects x,y,z in a triangle. x = Shortest part z = Longest part y = third part provided that y=25; z=2x; x+y+z = 70 subsequently the respond is derived as follows: x+y+z = 70 x+25+2x = 70 3x+25 = 70 3x = 70-25 3x = 40 5 x = 40 5/3 x = 15 consequently the three aspects are x=15cm, y=25cm, and z=30cm And this could be a Scalene Triangle. desire that enables.

2x + x + 25 = 70

3x = 45

x = 15

Longest = 30

Shortest =15

70cm-25cm= 45cm.

45 divided by 3 = 15cm

longest side=30cm

shortest side=15cm

remaining side=25cm

perimeter=70cm

and then u have: 2x + x + 25 = 70

3x = 45

x = 15


Hope this Helps and Have a Nice Day Bye!

Final answer:

The shortest side of the triangle is 15 cm, the longest side is 30 cm, and the remaining side is 25 cm.

Explanation:

To find the lengths of the other two sides of the triangle, we can set up a system of equations using the given information.

Let the shortest side be x cm.

According to the problem, the longest side is twice as long as the shortest side, so it is 2x cm.

The remaining side is given as 25 cm.

From the perimeter of the triangle, we can write the equation:

x + 2x + 25 = 70

Simplifying the equation, we have:

3x + 25 = 70

Subtracting 25 from both sides, we get:

3x = 45

Dividing by 3, we find that:

x = 15

Therefore, the shortest side is 15 cm. The longest side is twice as long, so it is 2 * 15 = 30 cm. The remaining side is given as 25 cm.

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