An automatic teller machine gives you $150 in five and ten-dollar bills.  There are two more than twice as many five-dollar bills as there are ten-dollar bills.  How many of each denomination are there?​

Answer:

( 4 )

Step-by-step explanation:

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Answer:

c. a translation down and to the left

Step-by-step explanation:

As per translation of a graph, the first transformation for this composition is translation down and to the left.

"A translation of a graph is its rigid movement, vertically or horizontally."

Here, A composition of transformations maps pre-image EFGH to final image E"F"G"H".

Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime.

Therefore, this transformation for this composition is translation down and to the left, and the second transformation is a reflection across line c.

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Answer: 14 meters

Step-by-step explanation:

Pythagorean Theorem formula = a^2 + b^2 = c^2

8^2 + 12^2 = c^

64 + 144 = 208

Now find the square root of 208 = 14.422

Answer:

You answer is 24! hope yhis helps

Step-by-step explanation:

Answer:

18 1/5

Step-by-step explanation:

9 3/5 + 8 3/5

We have a common denominator, so add the whole numbers

9+8 = 17

Add the fractions

3/5+ 3/5 = 6/5

17 6/5

We can simplify since we have an improper fraction

17 + 5/5 + 1/5

17+1+1/5

18 1/5

Answer:

18 1/5

Step-by-step explanation:

9 3/5 + 8 3/5=

First we do 9+8 which is 17

3/5+3/5= 6/5

17 6/5

Simplify:

18 1/5

Answer:

medians in the triangle

Step-by-step explanation:

just took the test

Answer:

1.53333... mph

Step-by-step explanation:

Well, if you want to figure out the speed (miles per hour), all you need to do is divide the distance by the time. In this case, the distance is 23 miles, and the time is 15 minutes. 23/15= 1.53333...

Hope this helps!! Have an amazing day c:

The speed of the car with given distance and time is 92 miles per hour.

Given that, a car traveled 23 miles in 15 minutes.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

We know that, speed = Distance/Time

Here 15 minutes = 15/60

= 1/4 hours

Now, speed = 23 ÷ 1/4

= 23 ×4

= 92 miles per hour

Therefore, the speed of the car with given distance and time is 92 miles per hour.

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Answer:

y= -4.5

Step-by-step explanation:

2y - 3 = 4y +6

subtract 2y from both sides: -3 = 2y +6

subtract 6 from both sides: -9 = 2y

divide both sides by 2: -4.5 = y

Answer:

y= -4.5

Step-by-step explanation:

2y - 3 = 4y + 6

+3 + 3

2y = 4y + 9

-4y -4y

-2y = 9

divide by -2 to get -4.5

Answer:

this is your question

Step-by-step explanation:

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The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5

Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -

3y = 1/2x

y = 1/6x

At [x] = 0, y = - 5

So -

y = (1/6)x - 5

Now -

slope = 1/6

[y] - intercept = - 5

y = 0 = (1/6)x - 5

(1/6)x - 5 = 0

1/6x = 5

x = 1/30

[x] - intercept = 1/30

Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.

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Answer:

Step-by-step explanation:

Given that:

There are 600 residents in the survey.

And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.

The objective is to construct a two by two table from the given data:

                       Diabetes

                    Yes                   No                          Total

Smoking  

Yes                  157                   230 - 157

                                               =  73                       230

No                     50                  370 - 50               600 - 230

                                               =  320                    = 370

Total              157 + 50             320+ 73

                      = 207                  = 393                    600

Answer:

a

[tex]\= x  =  82 [/tex]

b

[tex]s =  9.64 [/tex]

Step-by-step explanation:

From the question we are told that

    The data is  87  91  86  82  72  91   60  77  80  79  83  96

Generally the point estimate for the mean is mathematically represented as

    [tex]\= x  =  \frac{\sum  x_i }{n}[/tex]

=>  [tex]\= x  =  \frac{87 +91 + 86 + \cdots  + 96}{12}[/tex]

=>    [tex]\= x  =  82 [/tex]

Generally the point estimate for the standard deviation  is mathematically represented as

      [tex]s =  \sqrt{\frac{ \sum ( x_i  - \= x )^2 }{ n -1 } }[/tex]

=>     [tex]s =  \sqrt{\frac{ ( 87 - 82  )^2 +( 91 - 82  )^2 + \cdots + ( 96 - 82  )^2  }{ 12 -1 } }[/tex]

=>     [tex]s =  9.64 [/tex]

Part(a): The required mean is 82

Part(b): The required standard deviation is 9.639

Mean:

The mean is one of the measures of central tendency.

Part(a):

The formula for finding the mean is,

[tex]\bar{x}=\frac{\sum x_i}{n}[/tex]

Now, calculating the mean for the [tex]n=12[/tex] observation

[tex]\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82[/tex]

Part(b):

The formula for the standard deviation is,

[tex]S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }[/tex]

Substituting the given values into the above formula we get,

[tex]S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639[/tex]

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Answer:

(0,-26)

Step-by-step explanation:

0 -26

17 -39

34 -52

51 -65

68 -78

Answer:

x=4

Step-by-step explanation:

9x=36, divide both sides by 9

Answer:

Step-by-step explanation:

9x=22+14

9x=36

x=36/9

x=4

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Answer:

18 of them are boys

Step-by-step explanation:

40% = 40/100 = 0.40

0.40 × 45 = 18

Answer:

A.4

Step-by-step explanation:

Median is the middle meaning 6th grade got 4 more hours then the 8th graders

Answer:

B-2.5

Step-by-step explanation:

Because the median for the first one is 5 and the median for the second one is 7.5 and 7.5-5=2.5

Answer:

19

Step-by-step explanation:

Answer:

z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down

Step-by-step explanation:

∵ z1 = 4 + 3i

∵ z2 = 3 - 2i

∵ z3 = i + 5

→ Find the left side

∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]

∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]

∴ z1(z2 + z3) = (4 + 3i)(8 - i)

∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)

∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²

→ Remember that i² = -1

∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)

∴ z1(z2 + z3) = 32 - 4i + 24i + 3

→ Add the like terms

∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)

∴ z1(z2 + z3) = 35 + 20i

→ Find the right side

∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)

∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]

→ Replace i² by -1

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]

∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]

→ Add the like terms

∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]

∴ z1 z2 + z1 z3 = 35 + 20i

∵ The left side = 35 + 20i

∵ The right side = 35 + 20i

∴ The left side = the right side

∴ z1(z2 + z3) = z1 z2 + z1 z3

Step-by-step explanation:

[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]

Equation from the positive root:

[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]

Equation from the negative root:

[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]

[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.

Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .

To Find : The roots of the equation .

Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .

⇒ 3x² -5x - 7 = 0.

Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.

[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]

On substituting respective values ,

⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.

⇒x = 5 ± √ [ 25 + 84 ]/ 6 .

⇒ x = 5 ± √ 109 / 6 .

⇒ x = 5 + √109 / 6 , 5 - √109 / 6.

[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]

Answer:

$10

Step-by-step explanation:

16 * 5 / 8 = 16 * 0.625 = $10

Answer:  (0,0)

Step-by-step explanation:

The only integer"s" that both add and subtract to the same value are 0 "and" 0.  Properly stated, the only integer that can be added to itself and subtracted from itself with the same outcome is 0.

Of course, k will also be 0

So this system of equation works out to be

0 + 0 = 0

0 - 0 = 0

Answer:

y=2x-4

Step-by-step explanation:

Parallel lines have the same gradient.

The gradient of this line is 1/2.

All the equation the have a gradient of 1/2 accept for the last one.

Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

Answer:

just doing this for the gram

Step-by-step explanation:

say hi

Answer: 1st, 4th & 5th .

Answer:

1st, 4th, and 5th

Step-by-step explanation:

Answer:

Shop and save

Step-by-step explanation:

Answer:

You can buy 5 of the same apples at Shop and Save for $2.10.

Step-by-step explanation:

Answer:

Product of 6 and a number. y÷9.