Erase 3/5 of the shape part below. How much of the original figure will be shaded?

The two square roots used to estimate the number 47 are 6 and 7, because their squares, 36 and 49 respectively, are the nearest perfect squares to 47.

The problem is asking for the two square roots used to estimate the number 47. To solve this, think of two perfect squares that are the closest to 47. Those would be the squares of 6 and 7, because 62 equals 36 and 72 equals 49, which are the closest perfect squares to 47. So, we would use 6 and 7 to estimate the square root of 47.

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Answer:

0.85

Step-by-step explanation:

17/20=0.85

Modeling with systems of linear inequalities involves using multiple linear inequalities to represent constraints and solve problems with multiple variables. We can graph the inequalities on a coordinate plane and find the feasible region, which represents all the solutions that satisfy the constraints.

Modeling with systems of linear inequalities is a mathematical concept that involves using multiple linear inequalities to represent constraints in a real-world situation. This allows us to model and solve problems involving multiple variables and constraints, such as optimizing profit or finding feasible solutions.

Here's an example:

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let x = miles

we have x miles/ 60mph plus x miles / 40 mph = 1 hour

x/60 + x/40 = 1

 we need to calculate 2x for the round trip

calculate common denominator and rewrite the 2 fractions:

2x/120 + 3x/120 = 1

5x= 120

x = 120/5 = 24 miles

24*2 = 48 miles total

 check:

 1 way would be 48/2 = 24 miles

24/60 = 0.4 hours to drive 24 miles at 60 mph

24/40 = 0.6 hours to drive 24 miles at 40 mph

0.6 +0.4 = 1 hour

To plot -2 1/2 and 1 3/4 on a number line, draw a line with zero at middle. Move 2.5 units to the left from zero for -2 1/2 and place a dot. Then, move 1.75 units to the right from zero for 1 3/4 and place a dot.

To plot the numbers -2 1/2 and 1 3/4 on a number line, you first need to understand that these are mixed numbers. -2 1/2 means "two and a half units to the left of zero", whereas 1 3/4 means "one and three quarters units to the right of zero".

Step 1: Draw a number line with zero in the middle. Include distance markers each representing 1 unit. For the purpose of this exercise, let's say negative numbers are on the left and positive numbers are on the right.

Step 2: To plot -2 1/2, start at 0 and move 2.5 units to the left (-2 for the whole number and -0.5 for the fractional part). Place a point here.

Step 3: To plot 1 3/4, start at 0 and move 1.75 units to the right (+1 for the whole number and +0.75 for the fractional part). Place a point here.

This is how you plot the numbers -2 1/2 and 1 3/4 on a number line.

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The 2/3 meter long metal rod can be divided into 8 pieces each of length 1/12 meters by dividing the total length of rod with the length of each piece.

The subject of this question is mathematics, and it involves division. When we are given a total length and the length of each piece, we can find the number of pieces by dividing the total length by the length of each piece.

Here, the total length of the metal rod is 2/3 meters. Each piece that we want to cut is 1/12 meters long.

To find the number of pieces, we simply perform the division: (2/3)÷(1/12). When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So this becomes (2/3)*(12/1) = 24/3 = 8 pieces.

So the metal rod can be cut into 8 pieces each 1/12 meter long.

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The two situations can be represented as C(x) = 3x + 50 and  C(x) = 10x.

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Let the no. of gym visits be 'x' and the total cost be C(x).

Given, Plan one $50 for a monthly pass and a $3 fee for each gym visit.

∴  C(x) = 3x + 50.

Plan two $10 for each gym visit.

∴ C(x) = 10x.

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To find the sum of 4 consecutive integers, set up an equation and solve for the unknown numbers. The solution is the four consecutive integers 31, 32, 33, and 34.

To find the sum of 4 consecutive integers, we can set up an equation and solve for the unknown numbers. Let's assume the first number is n.

So, the sum can be represented as n + (n+1) + (n+2) + (n+3) = 130.

Combining like terms, we get 4n + 6 = 130. Solving this equation, we find that n = 31. Therefore, the four consecutive integers are 31, 32, 33, and 34.

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It's B

just took test

The equation of the line passing through points (5, 0) and (0, 2) is y = -2/5x + 2 and slope is -2/5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is 2x + 5y = 10.

We have to change this equation to slope intercept form

Isolate the term y from the equation

Subtract 2x from both sides

5y = -2x + 10

Divide both sides by 5

y = -2/5x + 2

the slope will be -2/5

Hence, the equation of the line passing through points (5, 0) and (0, 2) is y = -2/5x + 2 and slope is -2/5.

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The expression (2x - 17) is equivalent to (-17 + 2x). So, option A is the correct answer.

To determine which expression is equivalent to (2x - 17), we can use the distributive property to simplify each option.

A) (-17 + 2x):

This expression is equivalent because of the commutative property of addition. So, (A) is correct.

Here's the detailed calculation:

Given expression: [tex]\(2x - 17\)[/tex]

We'll use the distributive property:

[tex]\(2x - 17 = (2x) + (-17)\)[/tex]

Thus, the expression is already in the form of option A, which is [tex]\(-17 + 2x\)[/tex]. So, option A is the correct answer.

In summary, the expression (2x - 17) is equivalent to option A, (-17 + 2x).

Answer:

d) 2 16/25

Step-by-step explanation:

Now we have to,

→ convert into mixed fraction.

Let's solve the problem,

→ 2.64

→ (264/100)

→ 2 64/100

→ 2 16/25

Hence, option (d) is correct.

The answer is 93000000

Allow 10 to the power of 7 is 10000000

10000000 times 9.3 = 93000000

Answer: 4/3

Step-by-step explanation: When we use the word "negative reciprocal",

it's just a fancy way of saying flip the fraction and change the sign.

So the negative reciprocal of -3/4 is 4/3.

Answer:

no the answer is actually c if on usatestprep, Don't say random answers.

Step-by-step explanation:

The answer would be 1500g.= 1.5 kg.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, given that,

weight= 1.5 kg.

since there are 1000 grams in a kilogram.

For every,

1 kilogram there's 1000 grams

so, if you were to have 1.5 kilograms you'd have

1,500 grams.

500 is half of 1000 so if you have a 0.5 you'd have 500 grams

which you would then add 500 to 1000 which would result 1500.

Hence, the answer is 1.5 kg= 1500.

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The answer is to your question is B)4. Its y=mx+b and m is your slope and 4 is thw m.