A technician can complete a mammogram is 15 minutes. How many mammograms can the technician complete in an 8 hour workday? (8 hours = 480 minutes)

Answer:

the solutions are _2 and 3/4 so the answer is option D

Answer:

r=30

Step-by-step explanation:

first expand:

4r+60+4r=300

8r+60=300

8r=300-60

8r=240

r=30

hope this works:)

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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Answer:

brainly list not allowed macht

Answer:

29

Step-by-step explanation:

a=23

b= 52

multiply eq. i with 2 then subtract from eq. ii

Answer:

the answer is -29 and -110

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

each apple would cost $4,28

The cost of each bag of apples is 4.28 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Meena buys cookies and apples at the store.

Meena pays a total amount of $24.02.

She pays a total amount of $6.90 for the cookies.

She buys 4 bags of apples which each cost the same amount.

The total cost of apples = 24.02 - 6.90

= 17.12

Therefore, each bag of apples cost = 17.12/ 4 = 4.28

Hence, the cost of each bag of apples is 4.28 dollars.

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Answer:(36-9)÷9

Step-by-step explanation: If 36-9=27 then 27÷9=3 since 9×3=27hope this helped :)

The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

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Answer:

The answer is D.

Step-by-step explanation:

hope that helps

Answer:

— 3n−30=3+n.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer

Given the coordinate of the point as P (-24/145, 143/145)

This implies x = -24/145 and y =  143/145

To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).

opposite = 143/145, adjacent = -24/145

hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1

Using trigometric ratios:

sin θ =   (143/145) / 1 = 143/145    [sin θ = opposite/ hypotenuse]

cos θ =  (-24/145) / 1 = -24/145    [cos θ = adjacent/ hypotenuse]

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\( \frac{4 {x}^{2} - 36 }{x + 3} \\ = \frac{4( {x}^{2} - 9)}{x + 3} \\ = \frac{4(x + 3)(x - 3)}{x + 3} \\ = 4(x - 3) \\ = 4x - 12\)

NOTE THE x+3 in the numerator cancels with the x+3 in the denominator.

Answer: 7 is the common factor for ALL of these numbers.

Answer: 83

Step-by-step explanation:

The equation of the line in point-slope form is

\(y-3=4(x-2)\)

Substituting in x = 22,

Martin served 24 orders, Ahmad served 15, and Ryan served 48 orders.

To find an unknown quantity in a problem we use the algebraic expression. These are combinations of variables and constant terms. Here variables are used to represent the Unknown Numbers.

Here we have

Martina, Ahmad, and Ryan served a total of 87 orders

Since we don't how many orders served each one

Let's assume that each of them with different variables

Martina served 'm' orders

Ahmad served 'a' orders

Ryan served 'r'

Given that

Ahmad served 9 fewer orders than Martina  

=> a = m - 9 ---- (1)

Ryan served 2 times as many orders as Martina.

=> r = 2m --- (1)    

Given that total served orders = 87

=> m + a + r = 87

=> m + m - 9  + 2m = 87        [ from (1) and (2) ]

=> 4m = 87 + 9

=> 4m = 96

=> m = 24

Number of orders served by Ahmad, a = 24 - 9 = 15  

Number of orders served by Ryan, r = 2(24) = 48

Therefore,

Martin served 24 orders, Ahmad served 15, and Ryan served 48 orders.

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Answer:

Jenny is farther from the finish line.

Step-by-step explanation:

If jenny is 8.5 yards away and Tracy is 3.75 yards away, that means that jenny is farther.

Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

Answer:

\(y=x^2+6x-16\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6 cm}\underline{Intercept form of a quadratic equation}\\\\$y=a(x-p)(x-q)$\\\\where:\\ \phantom{ww}$\bullet$ $p$ and $q$ are the $x$-intercepts. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given points on the curve:

The x-intercepts of a quadratic function are the points at which the line crosses the x-axis, so when y = 0.  

Therefore, the x-intercepts of the given function are -8 and 2.  

Substitute these into the intercept formula:

\(\implies y=a(x-(-8))(x-2)\)

\(\implies y=a(x+8)(x-2)\)

Substitute the other given point (-6, -16) into the equation and solve for a:

\(\begin{aligned} y&=a(x+8)(x-2)\\\textsf{When }(-6,-16)\implies -16&=a(-6+8)(-6-2)\\-16&=a(2)(-8)\\-16&=-16a\\\implies a&=1\end{aligned}\)

Therefore, the equation of the function in intercept form is:

\(y=(x+8)(x-2)\)

Expand to standard form:

\(\implies y=x(x-2)+8(x-2)\)

\(\implies y=x^2-2x+8x-16\)

\(\implies y=x^2+6x-16\)

Therefore, the quadratic function in standard form is:

\(\boxed{ y=x^2+6x-16}\)

Answer:

y = -2/3x-9

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2/3x+b

We have a point we can substitute into the line

-5 = -2/3(-6)+b

Subtract 4 from each side

-5-4 =4+b-4

-9 =b

y = -2/3x-9

Sample unit: students

Sample size: 49

Variable: number of hours spent on the computer per week

There are 5 classes. The 5th class (the last one) of the table is:

14.0 - 17.4

Its upper-class limit of the 5th class is 17.4 hours

Answer:

36 - x²

Step-by-step explanation:

(x-6)(-x-6) = (-1)(x-6)(x+6) = (-1)(x² - 36) = 36 - x²

this is based on the "well known" (a+b)(a-b) = a²-b²

Solving the given function:  f (x) = -3x^2 + 3x / 6x^2 - 3x - 3  the following deductions are made

there is no discontinuity

the vertical asymptotes is at -1/2, 1

the horizontal asymptotes is at -3/6

there is no slant asymptote

the x intercept is (-1, 0) (0, 0)

the y intercept is at (0, 0)

First, factor the function's numerator and denominator. When a number is zero in both the denominator and the numerator, this is known as a point of discontinuity.

Discontinuity

The given function is f (x) = -3x^2 + 3x / 6x^2 - 3x - 3

factoring the numerator and denominator gives

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

= - (x(x + 1)) / ((2x + 1)(x - 1))

there is no discontinuity since only constants cancels out and no common factor in the numerator and denominator

Asymptotes

The vertical asymptote: set the denominator equal to zero and solve for x

(2x + 1)(x - 1) = 0

2x + 1 = 0, x = -1/2

x - 1 = 0, x = 1

vertical asymptotes at -1/2, 1

Horizontal asymptotes: the degree of the numerator = degree of the denominator

= -3/6

Slant asymptote: this occurs when the degree of the numerator is 1 more than the degree of the denominator. Hence no slant asymptote

Intercepts

x - intercept

0 =  - (x(x + 1)) / ((2x + 1)(x - 1))

0 = -x(x + 1)

the x intercept is x = 0, and x = -1

y intercept

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

y = - (0(0 + 1)) / ((2 * 0 + 1)(0 - 1))

y = 0/-1

y = 0

the y intercept is 0

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PRICES COUNTS COSTS

8 e 8e

10 420-e-t 10(420-e-t)

12 t 12t

420 3920

system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29

First equation gives highlight%28t=70%29.

Second equation simplifies to e-t=140.

Substitution gives highlight%28e=210%29.

Quantity of $10 tickets by difference, highlight%28140%29

Answer:

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

Identities we will use:

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

Given expression:

Factorize it by completing the square and setting the difference of squares:

4K = 120 can be used to find the number of emergency kits K Elise packs. The total number of emergency kits packed by Elsie and her mom are 30.

Here, we are given that Elise puts 4 water bottles into each emergency kit.

Let the number of kits packed = K

Then the total number of bottles packed = 4 × K

= 4K

Also, we are given that Elsie packs a total of 120 bottles.

Thus, we get the following linear equation-

4K = 120

We can use this equation to find the number of emergency kits K Elise packs.

dividing by 4 on both sides, we get

4K/4 = 120/4

K = 30

Hence, the total number of emergency kits packed by Elsie and her mom are 30.

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