Solve the given system of equations utilizing either the substitution or addition method.

Answer:

The answer is √156

Step-by-step explanation:

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Answer:

3 1/2 = 210 minutes

1/3 * 210 = 70 minutes = 1 hour and 10 minutes

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On solving the linear equation 3.5 = x/3 , we get that the time Carlos spent on reading last week was x= 10.5 hours

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting , multiplying or dividing by same number to both sides.

Let Carlos spent x hours reading last week

Given that last week the time that Carlos spent practicing piano for 3 1/2 hours = 7/2 hours = 3.5 hours

Time spent on practicing piano = 1/3 ( time spent on reading)

⇒ 3.5 = (1/3) x

Multiply both sides by 3

⇒ 3.5 ×3 =3×(1/3)x

⇒10.5 = x

Therefore, the time spent by Carlos on reading last week is 10.5 hours.

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Answer:

There are 5 sales per minute!

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. Basically 5 is the unit rate! 5/1 is 5!

Answer:

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. ... After a dilation, the pre-image and image have the same shape but not the same size.

Answer:

I would say False

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. After a dilation, the preimage and image have the same shape but not the same size.

Hope this helps.

Answer:

Using the slope-intercept form, the y-intercept is 7

Step-by-step explanation:

Answer: y=7-3x/2      3x/2 is seen as a fraction

Step-by-step explanation:

Move all the terms that don’t contain y to the right and then solve

Answer:

2500

Step-by-step explanation:

Dimensions of first level

Length = Breadth = 75 ft (since it is a square)

It is assumed that a person will occupy [tex]2.25\ \text{ft}^2[/tex]

Area of first level

[tex]75\times 75=5625\ \text{ft}^2[/tex]

When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.

[tex]\dfrac{5625}{2.25}=2500[/tex]

The number of tickets that can be sold for the first level is 2500.

Answer:

7/20

Step-by-step explanation:

[tex] 0.35 = \frac{35}{100} = \frac{7}{20} \\ \\ [/tex]

Answer:

7/20

Step-by-step explanation:

35/5=7

100/5=20

35/100=7/20

1) y=Mx+b

2) substitute the values: 0= -8x2 + b

3)multiply: 0= -16 +b

4) add 16 to both sides : 16= b

5) b is your y int. Plug in the values y=2x + 16

Answer : y= 2x+ 16

Answer:

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

Step-by-step explanation:

Step(i):-

Mean of the Population (μ) = 281

Standard deviation of the Population = 34.4

Let 'X' be a random variable in Normal distribution

Given X = 290

[tex]Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027[/tex]

Step(ii):-

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = P( Z > 2.027)

                    = 0.5 - A ( 2.027)

                   = 0.5 - 0.4783

                   = 0.0217

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

Answer:

Let

Breadth =x

length=x+5

As we know that in a rectangle

[tex]{\boxed{\sf Area=lb}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x (x+5)=300[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x=300 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x-300=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x^2+20x-15x-300=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x (x+20)-15 (x+20)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+20)(x-15)=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x+20=0\:or\:x-15=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=-20 (Impossible)\:or \;x=15 [/tex]

Answer: 30

6 times larger than the width = that's 5×6=30.

Answer:

30 is the answer

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Answer:

Since 342 hundredths is 342 over one hundred, 342 hundredths as a Fraction is 342/100. If you divide 342 by one hundred you get 342 hundredths as a decimal which is 3.42. To get 342 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 342 percent.

Answer:3.42

Step-by-step explanation:

Answer:

132 eggs

Step-by-step explanation:

7 chickens to 12 eggs; 77 chickens to x eggs

7/12 to 77/x

77/7 = 11

7/12 (11/11)

77/132

77 chickens to 132 eggs

If there are 77 chickens, and the ratio of chickens to eggs is 7 to 12, there are 132 eggs.

The number of eggs from the given ratio are 132.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of chickens to eggs is 7 to 12.

There are 77 chickens.

Let x be the total number of chickens and eggs.

Now, 7/19 ×x=77

⇒ 7x=1463

⇒ x=209

Number of eggs =209-77

= 132

Therefore, the number of eggs are 132.

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Answer:

See below.

Step-by-step explanation:

What you wrote means:

[tex] r = \dfrac{n}{2}(b + H) [/tex]

If that is what you meant, then the answer is:

[tex] \dfrac{2r}{n} = b + H [/tex]

[tex] H = \dfrac{2r}{n} - b [/tex]

On the other hand, if this is what you meant:

[tex] r = \dfrac{n}{2(b + H)} [/tex]

then the answer is:

[tex] 2r(b + H) = n [/tex]

[tex] 2rb + 2rH = n [/tex]

[tex] 2rH = n - 2rb [/tex]

[tex] H = \dfrac{n - 2rb}{2r} [/tex]

Answer:

Step-by-step explanation:

[tex]\frac{n}{2}(b + H) = r\\\\b +H = r * \frac{2}{n}\\\\b + H = \frac{2r}{n}\\\\H = \frac{2r}{n} - b[/tex]

Answer:

52 miles per hour

Step-by-step explanation:

Given:

Distance driven = 364 miles

Total time taken = 7 hours

Required:

Average speed of Chad

SOLUTION:

Average speed is the number of miles covered per hour.

Thus:

Average speed = distance covered / time taken to cover the distance

Average speed = [tex] \frac{364}{7} = 52 mph [/tex].

Chad's average speed is 52 miles per hour.

Answer: 6

Step-by-step explanation:

20/5 = 30/x

5 = 30/x

x = 6

The value 'x' in the given equation is 7.5.

"Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B."

Given, 20:5=30:X

⇒ [tex]\frac{20}{5} = \frac{30}{x}[/tex]

⇒ x = (30 × 5) / 20

⇒ x = 7.5

Therefore, the value of x is 7.5.

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2.09

Here you go! Hope it helps!

Answer:

1

Step-by-step explanation:

Given the question above :

The probability distribution :

X : ___ 1 ___ 2 ___ 3 ___ 4 ____ 5

P(x): _ 0.1 __ 0.1 __ 0.6 _ 0.1 __ 0.1

The Variance : Var(X) = (Σx²*p(x)) - μ²

μ = E(X) = Σ(X * p(x)) :

Σ(X * p(x)) = (1*0.1)+(2*0.1)+(3*0.6)+(4*0.1)+(5*0.1)

μ = 3

Var(X): [(1^2*0.1)+(2^2*0.1)+(3^2*0.6)+(4^2*0.1)+(5^2*0.1)] - 3²

= 10 - 9

= 1

Hence. Variance = 1

Answer:

96 loaves

Step-by-step explanation:

6 hours is 360 minutes. Divide that by 45 min equals 8. If he can bake 12 every 45 min, then he can bake 8 x 12 loaves in 6 hours or 96 loaves.

Answer:

A, 96 loaves of bread

Step-by-step explanation:

So first off, since the rate is in minutes and not hours, you would first find how many minutes are in 6 hours. 60 minutes per hour multiplied by 6 hours gets you 360 minutes. You would now divide 360 by 45, and that would get you 8. You now have 8 units of 45 minutes, if that makes sense. You would now multiply 8 by 12, and get 96 loaves of bread.

[tex]\mathrm {Hey, there!}[/tex]

Thanks for posting your question! Let's solve your problem:

The answer to your question is: 280% increase!

When we do percent of change, we will set up this ratio.

 CHANGE IN QUANTITY (23 - 20)

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

  ORIGINAL QUANTITY (3)

The change in quantity is : 23 - 20

The original quantity would be 3, 23 - 20 = 3.

20 / 2 = 10

23 - 20 = 3

Fraction - 3/10

3/10 = 0.15

0.15 = 15% increase

Best of Luck!

Answer:

9/2

Step-by-step explanation:

in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...

we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...

now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2

since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4

now we need to find the remaining 1/2

this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)

Since 9/2 cannot be simplified any further... it is our final answer

Answer: the first bubble is 144, the last bubble is 3

Step-by-step explanation:

at 0 seconds the height is 144. at 3 seconds the height is 0.

The required missing values in the table are (0,176) and (3.67, 0).

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The equation representing the given data in the table is given by the equation of the line,
y - y₁ =(y₂ - y₁) /  (x₂ - x₁) (x - x₁)
Substitute the value in the above equation from the table.
y - 128 = (80-128)/(2-1) (x  - 1)
y - 128 = -48/1(x - 1)
y = -48x + 48 + 128
y = -48x + 176
Put x = 0 in the above equation,
y = 176 feet high
Again put y = 0
0 = -48x = +176
48x = 176
x = 176 / 48
x = 3.67

Thus, the required missing values in the table is (0,176) and (3.67, 0).

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A. in a linear equation in x and y x is indepdendt so y depends on it

Answer:

(2,0)

Step-by-step explanation:

Answer:

x intercept (2,0) y intercept is(0,-6)

Step-by-step explanation:

Answer:

0.9495

Step-by-step explanation:

We are given;

Population proportion; p = 90% = 0.9

Sample size; n = 100

Sample Proportion; p^ = 0.84

Formula to find the probability that sample proportion exceeds 0.84 is;

Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)

Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)

Z = -0.06/0.03666

Z = -1.64

From online z-score calculator attached, the probability is;

P(x>Z) = 0.9495