What is the value of x if 3x+2=8?
F. -2
G. 0
H. 2
J. 6

The decimal equivalent rational number of the given fraction 1/18 is 0.06

So, 1/18:
1/18 = 0.05555555555....

Rounding off to the nearest tenth we get: 0.06

(Refer to the diagram below for calculation)

Therefore, the decimal equivalent rational number of 0.06

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The equation of the parabola is y = (-3/2)x + 1.

The general vertex form of the equation of a parabola is y = a(x - h)2 + k

where (h, k) are the coordinates of the vertex

Here, we are given that vertex = (0, 1)

Thus, the equation of the parabola is-

y = a(x - 0)2 + 1

y = 2ax + 1

Also, we are given that the parabola passes through (12, -17).

Thus, (12, -17) must satisfy the equation of the parabola

⇒ -17 = 2a(12) + 1

-17 = 24a + 1

24a = -17 -1

24a = -18

a = -18/24

a = -3/4

Thus, the equation of the parabola becomes-

y = 2(-3/4)x + 1

y = (-3/2)x + 1

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Cara used 4 cups.

Maddie(M) used 2/3 of a cup.

Cara(C) used 6 times the amount M used.

M x 6 = C

2/3 x 6 = C

2/3 x 6 = 12/3 = C

12/3 = 4 = C

4 = C

Answer:

9 , 16x^2 , 4z and 100y^2 are perfect Squares!

_____________________________________
What are Perfect Squares?

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

3 * 3 = 9
4 * 4 = 16
2 * 2 = 4
50 * 50 = 100

Therefore making those numbers perfect squares.
[NOTE: The numbers that are squared are still perfect squared, just a larger version!]

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Answer:

Step-by-step explanation:

Perfect squares are: 100y^2, 16x^2, and 9

sqrt of 100y^2 is 10y

sqrt of 16x^2 is 4x

sqrt of 9 is 3

Step-by-step explanation:

initally dose was 250 mg and then increased to 500 mg.

so, percent increase would be :-

(500-250)/250 * 100

= 1 %

so I guess u are correct.

The percentage increase in the size of the dosa is 100%

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the size of the dosa is increased from 250 to 500.

The amount of increment is:

500 - 250

= 250

The percentage change is given by:

(250/250) × 100%

= 100%

Hence, the percentage increase in the size of the dosa is 100%

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Answer:

17 / 100 or 1 / 17

Step-by-step explanation:

Hope this helps :)

The required fraction of 17p in  £1 is 17 / 100.

Given that,
To determine the fraction of £1 is 17p.

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.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
£1 = 100p
p = 1 / 100
Multiply by 17 on both sides,
17p = 17 / 100

Thus, the required fraction of 17p in  £1 is 17 / 100.

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Answer: 1.19

Step-by-step explanation:

[tex]\displaystyle\\\frac{3\frac{1}{2}-1\frac{4}{5} }{1\frac{3}{7} }=\\\\\frac{\frac{3*2+1}{2} -\frac{1*5+4}{5} }{\frac{1*7+3}{7} } =\\\\\frac{\frac{6+1}{2}-\frac{5+4}{5} }{\frac{7+3}{7} } =\\\\\frac{\frac{7}{2}-\frac{9}{5} }{\frac{10}{7} } =\\\\\frac{\frac{7*5-9*2}{2*5} }{\frac{10}{7} } =\\\\\frac{\frac{35-18}{10} }{\frac{10}{7} } =\\\\\frac{\frac{17}{10} }{\frac{10}{7} } =\\\\\frac{17*7}{10*10} =\\\\\frac{119}{100} =\\\\1.19[/tex]

Answer:

Step-by-step explanation:

$0.50 x 48 + $64 = $88. Because of order of operations or PEMDAS, multiplication goes first, then comes addition. Hope you found this helpful!

If hypotenuse of an isosceles right triangle is [tex]4\sqrt{2}[/tex] units, then the area of the triangle is 8 square units

Given,

The hypotenuse of an isosceles triangle =[tex]4\sqrt{2}[/tex]

An isosceles triangle is a triangle that has at least two sides of equal length

Consider the two equal sides as x

According to Pythagoreans theorem

[tex]x^{2} +x^{2} =(4\sqrt{2})^{2} \\2x^{2} =32\\x^2=16[/tex]

x=4 units

We know,

Area of two isosceles right triangle equal to the area of the square with same length

Area of the square = [tex]x^{2} =4^{2}=16[/tex] square units

Then the area of the triangle =[tex]\frac{16}{2}=8[/tex] square units

Hence, if hypotenuse of an isosceles right triangle is [tex]4\sqrt{2}[/tex] units, then the area of the triangle is 8 square units

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Answer:2018.40

Step-by-step explanation: i tried 472 and it was wrong and stated 2018 was correct.

If she babysits for 65 days total, she would make $1,950 in all

What is the earnings of Sally per day of babysitting?

The earnings that Sally realize from one day of babysitting is the pay per hour multiplied by the number of hours Sally works per day as shown below:

earnings per day=hourly rate*number of hours a day

hourly rate=$10

number of hours a day=3

earnings per day=$10*3

earnings per day=$30

Now, the earnings at she realizes from 65 days of babysitting can be determined as the earnings made in one day multiplied by the number of days she spent babysitting

earnings for 65 days=$30*65

earnings for 65 days=$1,950

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Therefore, option (c) is the correct system for the graph based on the given options.

Based on the given options, the correct system for the graph would be option (c):

(2x - 5y ≥ 10

(3x + 4y ≥ 12

In option (c), both inequalities have the same orientation (greater than or equal to) and the same signs (+ and -) in front of the variables (x and y) as the original problem statement. This ensures that the inequalities maintain the same relationship.

Option (a) has one inequality with the opposite orientation (≤) compared to the original problem statement, which would result in an incorrect solution.

Option (b) has both inequalities with the opposite orientation (≥), which is also not consistent with the original problem statement.

Option (d) has one inequality with the opposite orientation (≤), which does not match the original problem statement.

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Answer: 17.5

Step-by-step explanation:

Si un circulo tiene un diametro de 35 centimetros entonces para encontrar el radio se divide en 2. 35 /2 = 17.5

The solution to the inequality is x < 3.3

The given parameters are:

Perimeter < 18.7 feet

Side lengths: 4.1 ft 4.9 ft 6.4 ft x ft

The perimeter of a shape is the sum of the side lengths

So, we have

Perimeter = 4.1 ft + 4.9 ft + 6.4 ft + x ft

Remove the unit

So, we have

Perimeter = 4.1+ 4.9 + 6.4 + x

Evaluate the sum

Perimeter = 15.4 + x

Recall that

Perimeter < 18.7 feet

So, we have

15.4 + x < 18.7

Subtract 15.4  from both sides

x < 3.3

Hence, the solution to the inequality is x < 3.3

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Answer:

about 37.33

Step-by-step explanation:

90+22=112/3 is x

x=37.33

Answer:

x = 12

AB = 39

AC = 24

Step-by-step explanation:

The sum of AB and BC is equal to the length of AC.

We can write the following equation based on this information :

AB + BC = AB rewrite the equation using given values

4x - 9 + 3x - 12 = 63 add like terms

7x - 21 = 63 add 21 to both sides

7x = 84 divide both sides by 7

x = 12 replace x with 12 in each expression to find the lengths

AB = 4x-9

AB = 4•12 - 9 and

AB = 39

BC = 3x -12

BC = 3•12-12 and

BC = 24

Answer:

it should be 4 3/8 but sorry if it's wrong <3

Answer:

Donna reads an average of 5 chapters each hour.

Step-by-step explanation:

45/9=5

Answer:

v = 11

Step-by-step explanation:

(9v - 3) and 84 are a linear pair and sum to 180° , that is

9v - 3 + 84 = 180

9v + 81 = 180 ( subtract 81 from both sides )

9v = 99 ( divide both sides by 9 )

v = 11

The weighted average of the numbers 1 and 6 is 2

What is weighted average of two numbers?

The weighted average of 1 and 6 in this instance, means the sum of the two numbers multiplied by their weights which are four-fifths and one-fourth respectively.

weighted average=(first number*weight of first number)+(second number*weight of second number)

first number=1

weight of first number= four-fifths=4/5

second number=6

weight of second number=one-fifth=1/5

weighted average=(1*4/5)+(6*1/5)

weighted average=2

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Answer: your mom

(x−5)(x−3)

Answer:

C The metric system is based on powers of 10

Step-by-step explanation:

The expression is simplified to y ^-7/x^-3

Algebraic expressions are expressions comprising of variables, terms, factors, coefficients, constants.

These expressions are also made up of arithmetic operations such as;

From the information given, we have;

y to the negative seventh power over x to the negative third power

This can be represented as;

Negative seventh power = ^-7

Negative third power = ^-3

Substitute into formula

y ^-7/x^-3

Thus, the expression is simplified to y ^-7/x^-3

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The mean is 590.45 and the variance is 0.053.

What is arithmetic mean and variance?

Now,

=> Sum of all the values = 590.1+590.2+590.3+590.4+590.5+590.6+590.7+590.8 = 4723.6

=> Since 8 data values are present,

=> Mean = 4723.6/8 = 590.45

=> 590.1 - 590.45 = -0.35;

=> (-0.35)² = 0.1225

=> 590.2 - 590.45 = -0.25;

=> (-0.25)² = 0.0625

=> 590.3-590.45 = -0.15;

=> (-0.15)² = 0.0225

=> 590.4-590.45 = -0.05;

=> (-0.05)² = 0.0025

=> 590.5-590.45 = 0.05;

=> (0.05)² = 0.0025

=> 590.6-590.45 = 0.15;

=> (0.15)² = 0.0225

=> 590.7-590.45 = 0.25;

=> (0.25)² = 0.0625

=> 590.8-590.45 = 0.35;

=> (0.35)² = 0.1225

Thus, variance = [tex]\frac{(0.1225+0.0625+0.0225+0.0025+0.0025+0.0225+0.0625+0.1225)}{8}[/tex] = 0.42/8 = 0.0525 ≈ 0.053

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Answer:

Your answer would be 17 because 171 divided by 9 is 19, so 323 divided by 19 would be 17.

Answer:

Step-by-step explanation:

Tom made $171 for 9 hours of work. At the same rate, how many hours would he have to work to make 323 ?

171 : 9 = 323 : x

x = 9 * 323 : 171

x = 2907 : 171

x = 17

-------------------------

check

171 : 9 = 323 : 17

19 = 19

Cavitation reduces a tree's ability to conduct water due to the formation of air bubbles in water, thereby reducing the hydraulic conductance of the tree.

Cavitation, also known as embolism, is said to occur when the tracheid or vessels of the xylem is being filled with bubbles of air. Cavitation is what is said to occur when air bubbles form in water during transpiration.

The effect of cavitation is the prevention of the upward pull of water, leading to a degradation of hydraulic conductance, such that the xylem water potential is reduced.

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Answer:

y=-5x/2+4

Step-by-step explanation:

4y=-10x+16

y=-5x/2+4

We have shown that 268 can be written as the sum of a power of 3 and a squared number.

We are given a number:

268

We need to show that it can be written as the sum of a power of 3 and a squared number.

We can write 268 as:

268 = 243 + 25
Now, factors of:

243 = 3 × 3 × 3 × 3 × 3

25 = 5 × 5

So, this can be rewritten as:

268 = 3 ⁵ + 5²

which is he sum of a power of 3 and a squared number

Therefore, we have shown that 268 can be written as the sum of a power of 3 and a squared number.

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Answer:

The run 750 steps

Step-by-step explanation

6x+300

x is 75

450+300

750