What is the value of x in the equation 2x +3y = 36, when y=6?
O9
O 27
O 36

The expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]

To write the given expression 5^3 x √5, as a single power of 5,

First, we will write the expression properly.

[tex]5^{3} \times \sqrt{5}[/tex]

Now, to write the above expression as a single power of 5,

First, express [tex]\sqrt{5}[/tex] in index form

By law of indices [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]

∴ [tex]\sqrt{5} = 5^{\frac{1}{2} }[/tex]

Now, the expression becomes

[tex]5^{3} \times 5^{\frac{1}{2} }[/tex]

Also, by law of indices, [tex]x^{y} \times x^{z} = x^{y+z}[/tex]

∴ [tex]5^{3} \times 5^{\frac{1}{2} } = 5^{3+\frac{1}{2} }[/tex]

[tex]= 5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]

Hence, the expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]

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Answers:

Governor of State A = $172,870

Governor of State B = $122,725

========================================

Work Shown:

A = B+50,145

A+B = 295,595

(B+50,145)+B = 295,595

2B+50,145 = 295,595

2B = 295,595-50,145

2B = 245,450

B = (245,450)/2

B = 122,725 ... salary for governor of state B

A = B+50,145

A = 122,725 + 50,145

A = 172,870 ..... salary for governor of state A

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

Check:

A+B = 172,870 + 122,725 = 295,595

So the answers are confirmed.

A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation. The right answer is D.

A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation.

The number of alternative orientations in which an object can seem exactly the same for each revolution is the degree of rotational symmetry of that object.

Because of rotational symmetry, the figure should maintain its original appearance  even when rotated. So a rhombus is the shape that exhibits rotational symmetry. So, D is the right answer.

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Answer:

C) 18

Step-by-step explanation:

so, if 8 over 6 is the same ratio as 4 over 3, and 24 divided by 6 is 4, you need to figure out 3*6, which is 18

the ratio of 24 to 18 is the same as 8 to 6

Answer:

C) 18

hope it helps

thank tou

Answer:12

Step-by-step explanation:They are adding three box for every building so is the fifth block you do it

Answer:

10/4 equals 2 1/2 when simplified.

Step-by-step explanation:

10/4 = 2 2/4 or 2 1/2 when simplified.

This is because, 4 x 2 = 8, and 8 + 2 (or 1/2 of 4) = 10.

Hope this helps! :D

Answer:

YOU CAN DO THIS ONE OF 1 OF 2 WAYS....

650 X .48= 312

650 X .44=286

312+286=598

650-598=52

OR FIGURE IT THIS WAY

.48+.44=.92

650 x .92= 598

650-598=52

Answer:

4 m + 7

Step-by-step explanation:

Simplify the following:

4 (m - 2) + 15

4 (m - 2) = 4 m - 8:

(-8 + 4 m) + 15

Grouping like terms, -8 + 4 m + 15 = 4 m + (15 - 8):

4 m + (15 - 8)

-8 + 15 = 7:

Answer: 4 m + 7

Answer: Let's simplify step-by-step.

4(m−2)+15

Distribute:

=(4)(m)+(4)(−2)+15

=4m+−8+15

Combine Like Terms:

=4m+−8+15

=(4m)+(−8+15)

=4m+7

Answer:

=4m+7

Step-by-step explanation: I hope this helps.

Answer: 70

Step-by-step explanation:

Given that :

Uniform range of distribution = 50 to 100

50 ≤ x ≤ 100

Difference between both values = 100 - 50 = 50

Range / difference = computer generated value

(Weekly demand - lower limit) / difference = computer generated value

(Weekly demand - 50) / 50 = 0.4

Weekly demand - 50 = 20

Weekly demand = 20 + 50

Weekly demand = 70

The weekly demand if the corresponding computer-generated value is 0.4 is given by: Option B: 70

A uniformly distributed random variable's probability is distributed uniformly in the interval in which it is defined. Thus, if X ranges from a to b, and pertains uniform distribution, then its probability density function is given by;

[tex]f(x) = \dfrac{1}{b-a}; a < x < b\\\\f(x) = 0; x < a , b < x[/tex]

For the given case,  the weekly demand(let it be tracked by random variable X) is in range 50 to 100.

The computer generated value shows:

[tex]\text{Computer generated value} = \dfrac{\text{Weekly demand} - \text{Lower limit}}{\text{difference between upper and lower limit}}[/tex]

(computer generated value is showing in range 0 to 1, the part occupied by the weekly value from starting, here as it is 0.4, so it means out of 50 values, it is 0.4 = 40% of (100 -50) = 20 (from start which is 50, thus, 50 + 20  = 70) )

As we've got:

Thus, the weekly demand is obtained as:

[tex]0.4 = \dfrac{\text{Weekly demand} - 50}{50}\\\\\text{Weekly demand} = 0.4 \times 50 + 50 = 70[/tex]

Thus, the weekly demand if the corresponding computer-generated value is 0.4 is given by: Option B: 70

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Answer:

D

Step-by-step explanation:

Step-by-step explanation:

[tex] - 9 \div 27 \\ = \frac{ - 9}{27} \\ = \frac{ - 1}{3} [/tex]

the correct sign for the quotient as indicated is negative.

Answer:

g(9) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

g(x) = -x² + 10x - 3

g(9) is x = 9

Step 2: Evaluate

Answer:

Step-by-step explanation:

5ht dogs=1.50 each

2hamburger=4.00 each

equals15.50

1 ht dog=1.50

4hamburger=16.00

total equals 17.50

hot dog dinner =1.50

Answer:

4 or -2 not really sure which

Step-by-step explanation:

Answer:

Using the slope-intercept form, the slope is −2 .

Step-by-step explanation:

You Welcome!

Happy Holidays❄️☃️

Answer:

The reciprocal we use: [tex]\frac{5}{3}[/tex] ;  Answer: [tex]\frac{5}{24}[/tex]

Step-by-step explanation:

The reason why we use this reciprocal is because we are dividing 3/5 from 1/8, so we have to use the reciprocal of the divisor instead. Next, we multiply the numerators and denominators and we get the product of 5/24 and since we cannot simplify further, this is the final answer.

Hope this helps! :D

Answer:

5/3

Step-by-step explanation:

A way I remembered how to divide fractions was stay (first fraction) change (division to multiplication) flip (the second fraction)

Advance tickets: represented by x

Same-day tickets: represented by y

you can model this using a system of equations

x + y = 65

40x + 30y = 2200

then you have to get either the x or y value equivalent in both equations

40(x + y = 65)

40x + 40y = 2600

so the new equations are 40x + 40y = 2600 and 40x + 30y = 2200

then you can solve by using elimination

40x + 40y = 2600

-(40x + 30y = 2200)

10y = 400

y = 40

substitute y back into the first equation

x + 40 = 65

x = 25

Answer:

12x18

Step-by-step explanation:

Answer:

Hello, you do not give us any answers to choose from, but i can say that 18x12 is 216

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The product of a negative integer and positive integer is always negative. A, C and D are negative; Only B is positive so it is NOT a negative integer. The word EXCEPT means it is asking for non-negative answers or answers that are positive

Answer:

B

Step-by-step explanation:

Answer:

666

Step-by-step explanation:

ggjgjg

Answer:

1500

Step-by-step explanation:

If you have 375$ in 6 months then that means you should have 750$ in 1 year. That also means you would have 1500$ in 2 years. Hope this helps.

Answer:

Slope= 2

Y-intercept= -5

Step-by-step explanation:

This inequality is in slope-intercept form which means we can get both striaght from the inequaltiy. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this inequality m would be 2 and b would be -5, so those are your answers.

Answer:

A.

positive and negative 5 and square root of 29

Answer:

486,732 I hope this helps

Answer:

-4x+5y=-4 and 5x+4y=-40.

Step-by-step explanation:

all the details are provided in the attachment.

Step-by-step explanation:

here is ur answer with perfect solution

Answer:

A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.

Step-by-step explanation:

We are given;

chance of rain next week on Monday is 50%. Thus;

P(rain next Monday) = 0.5

chance it rains on Tuesday is 80%. Thus;

P(rain next Tuesday) = 0.8

From independent events, we can say that;

P(A and B) = P(A) × P(B)

A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.

Thus;

P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4

This can also be written as 40%

Correct answer is option A since both events are independent

The main span of Bridge A (2700 feet) is 37. 2 % percent shorter than the main span of Bridge B (4300 feet).

It is providing main span of Bridge A is at a 2700 feet and therefore the main span of Bridge B is at a 4300 feet.

Step 1: realize the distinction between the 2 numbers.

                4300 - 2700 = 1600

Step 3: Take the magnitude relation of the distinction given by

                    1600 / 4300

Step 4: Multiply the fraction obtained by a hundred and modify your answer.           1600 / 4300 ×100

Percentage difference in span length :

= [(difference in span) / span of B] × 100%

 =    ( 1600 / 4300) ×100

 =  37. 2 %

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The probability that the combined value of the four coins randomly selected with replacement will be $.41 is 3/32

In this question, there are an equal number of pennies, nickels, dimes, and quarters in a bag.

We need to find the probability that the combined value of the four coins randomly selected with replacement will be $.41

Out of 41 cents, 1 must be a penny.

And the remaining three (a nickel, dime, and a quarter) must add up to 40 cents.

The first coin must be penny so, its probability P1 = 1

The probability for the second coin would be,

P2 = 3/4

The probability for the third coin would be,

P3 = 2/4

P3 = 1/2

And the probability for the fourth coin would be,

P4 = 1/4

Since the events are independent, the resultant probability would be,

P = P1 × P2 × P3 × P4

P = 1 × 3/4 × 1/2 × 1/4

P = 3/16 × 1/2

P = 3/32

Therefore, the probability that the combined value of the four coins randomly selected with replacement will be $.41 is 3/32

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Answer:

$19.65

Step-by-step explanation:

Adding decimals is the same as simple addition just line up the point in the numbers and add.