2. The water level in a reservoir is now 52 meters. Which equation can be used to find the initial depth d if this is the water level after a 23% Increase

Answer:

B, B, A.

Step-by-step explanation:

5x means 5 multiplied by x, so is it A, B or C? the product, because that means multiplied. a is B.

For b, we can see that 7 is a constant, because it isn't being multiplied by anything.

For c, 2y is 2 multiplied by y. Y would be the variable, and 2 would be the coefficient.

Sorry if I didn't understand the question right-

Answer:

\(\frac{49}{6}\)

Step-by-step explanation:

The inverse of \(\frac{3}{7}\) is \(\frac{7}{3}\).

The inverse of \(\frac{2}{7}\) is \(\frac{7}{2}\).

Now we multiply:

\(\frac{7}{3}\) × \(\frac{7}{2}\) = \(\frac{49}{6}\)

Hope this helped :)

Answer: I believe it’s 10 ft

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Let's begin by expressing each person's age in writing using the information from the question:

According to the issue, Anna's age might be expressed as: x

x=25

John's age may be expressed as: x + 1 since he is Anna's age plus one.

John's Age=25+1 = 26

x+1 = 26

Tamara's age may be expressed as x - 2 since it is Anna's age substracted by two.

Tamara's Age = 25-2 =23

x-2 = 23

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1) For the following set of test scores for a history class, 100, 45, 60, 60, 50, 50, 45, 95, 60, 55, 40, it would be better for the teacher to consider D) The mean because it is higher and the teacher wants to feel good about the students.

2) The mode of these data about the high temperatures in Orlando for the past 8 days would be 90.

3) The median of these data about the high temperatures in Orlando for the past  8 days would be 80.

The mean, mode, and median are three centers of measurement.

The mean refers to the average value in the data set, obtained as the quotient of the total value divided by the number of items.

The mode refers to the value that occurs most in the data set.

Lastly, the median is the middle value for a data set arranged in descending or ascending order.

1. Test Scores:

100, 45, 60, 60, 50, 50, 45, 95, 60, 55, 40

Total value = 660

Number of data items = 11

Mean = 60 (660 ÷ 11)

Median = 55

Mode = 60

2. High Temperature:

91, 90, 90, 90, 84, 82, 81, 90

Total Value = 698

Number of data items = 8

Mean = (87.25 (698 ÷ 8)

Median = 90

Mode = 90

3. High Temperature:

91, 90, 90, 90, 84, 82, 81,90

Median = 80 (81, 82, 84, 90, 90, 90, 90, 91)

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The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles

From the question, we are to determine the total distance travelled by Finley on Saturday and Sunday

From the given information,

On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library

Total distance travelled on Saturday = 3.35 miles + 2.51 miles

Total distance travelled on Saturday = 5.86 miles

Also,

On Sunday, Finley rode the bus 2.12 miles to the art museum

Total distance travelled on Sunday = 2.12 miles

∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles

Total distance travelled on Saturday and Sunday = 7.98 miles

Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.

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Answer: 30

Step-by-step explanation:

Q1: 120

Q3: 150

To find the interquartile range, subtract Q1 from Q3, which is 150-120. Therefore, the interquartile range  of the kitten's weight, is 30

Answer: 30 grams

Step-by-step explanation:

The interquartile range is the range within the boxed areaa. You subtract the minimum value from the maximum value.

150 - 120 = 30

Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

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Rashad's total sales for the day were $1380 and his commission was $138.

Amount of sales refers to the total monetary value of goods or services that a company or an individual sells within a given time period.

To calculate the total amount of Rashad's sales, we need to add up the sale prices of all the items:

Microwave Oven: $130

Refrigerator: $600

Dishwasher: $300

Washing Machine: $350

Total sales = $130 + $600 + $300 + $350 = $1380

Now, we need to calculate Rashad's commission based on his earnings of 10% of the total amount sold:

Commission = 10% of $1380

Commission = 0.1 x $1380

Commission = $138

Therefore, Rashad's total sales for the day were $1380 and his commission was $138.

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Answer:

97 yards

Step-by-step explanation:

conversion factor 36 in = 1 yard

(3492/1 in)(1yd/36in)

3492/36 yd = 97 yards

Answer:

97 yards

Step-by-step explanation:

First, convert inches to feet:

3492in / 12in = 291 ft

(12 inches in one foot)

Then, convert feet to yards:

291ft / 3ft = 97 yds

(3 feet in one yard)

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

Answer: The range of the data set tells us how much the costs of tents on sale at the store vary overall, while the IQR tells us how much the middle 50% of the data varies. In this case, the range is relatively large ($14), indicating that the cost of tents on sale varies quite a bit. However, the IQR is relatively small ($6), indicating that the middle 50% of the data varies only slightly.

Answer:

Y=-4x 2

Step-by-step explanation:

A. Commercial 540

Residential 360

B. Commercial 585

Residential 390

a) Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors .

First step is to calculate the Plantwide overhead rate using this formula

Plantwide overhead rate =Estimated overhead /Estimated machine hours

Let plug in the formula

Plantwide overhead rate = 1080000/9000

Plantwide overhead rate = $ 120 per MH

Now let Determine the per-unit factory overhead allocated to the commercial and residential motors

Using this formula

Per -unit factory overhead allocated=Actual MH per unit *Plantwide overhead rate

Let plug in the formula

Per -unit factory overhead allocated to COMMERCIAL=4.5 dmh*120

Per -unit factory overhead allocated to COMMERCIAL=540

Per -unit factory overhead allocated to RESIDENTIAL=3.0 dmh*120

Per -unit factory overhead allocated to RESIDENTIAL=360

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the single plantwide factory overhead rate method will be:

Commercial 540

Residential 360

b. Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors

First step is to calculate the Departmental overhead rate

ASSEMBLY TESTING

Estimated overhead 280,000 800,000

÷Estimated machine hours each department 4,000 5,000

=Departmental overhead rate 70 160

Now calculation the per-unit factory overhead allocated to the commercial and residential motors

COMMERCIAL RESIDENTIAL

Assembly 1.5 dmh*70=105 1.0 dmh*70=70

Testing 3.0*160= 480 2.0*160= 320

Per -unit factory overhead allocated 585 390

(105+480=585)

(70+320=390)

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the multiple production department factory overhead rate method will be:

Commercial 585

Residential 390

Answer:

4.5 that is the answer because-3 to 0 us 3 then add 1.5

Answer:

The Difference between them is 4 1/2, or 4.5

Step-by-step explanation:

count up every whole number, then count up the 1/4's.

once you reach point G from point F, you will get 4 1/2.

hope this helps.

The value of the expression 4 1/5 ÷ 2 1/4 will be -28/15. Then the correct option is E.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The mixed fraction numbers are given below.

- 4 1/5 and 2 1/4

The mixed fraction number is converted into a fraction number.

-4 1/5 = -21/5

2 1/4 = 9/4

Then the division of the fraction numbers will be

⇒ -(21/5) ÷ (9/4)

⇒ -(21/5) · (4/9)

⇒ -28/15

Then the value of the expression 4 1/5 ÷ 2 1/4 will be -28/15.

Then the correct option is E.

The missing option will be negative 28 over 20.

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Answer:

84 miles

Step-by-step explanation:

56 miles = 1 hour

1.5 hour = 84 miles

56/1 * 1.5 = 84

Answer:

I believe its c

Step-by-step explanation:

Answer:

(4, -11)

Explanation:

The coordinate's signs just change (negative becomes positive and vise versa)

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees. Therefore, we have:

82 + 37 + x = 180

Simplifying this equation, we get:

119 + x = 180

Subtracting 119 from both sides, we get:

x = 61

Therefore, the value of x in this triangle is 61 degrees.

The value of x in this triangle is,

⇒ x = 61 degree

We have to given that,

In a triangle,

Angles are 82 degrees, 37 degrees, and x degrees.

Since, Sum of all interior angles in a triangle are 180 degree.

Hence,

82 + 37 + x = 180

Solv for x,

119 + x = 180

x = 180 - 119

x = 61 degree

Therefore, In a triangle,

The value of x in this triangle is,

⇒ x = 61 degree

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Answer:

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

x = +7 or -7

a = +3 or -3

x = +19 or -5

n = -5 or -7

p = +4 or -2

x = +11 or +1

a = -11 or -7

k = +16 or 0

m = -1 or 0

r = +6 or +1    

: Answer:

Step-by-step explanation:

|3a|=9

a=3

2- |x–7|=12

For the Negative case we'll use -(x-7)  

For the Positive case we'll use (x-7)  

Solve the Negative Case

     -(x-7) = 12  

 Multiply

     -x+7 = 12  

    rearrange and Add up

     -x = 5  

    Multiply both sides by (-1)

     x = -5  (for negative)

Solve the Positive Case

     (x-7) = 12  

     x = 19  

 Which is the solution for the Positive Case

Wrap up the solution

x=-5             ,x=19

 4- |n+6|=1

The Absolute Value term is |n+6|

 For the Negative case we'll use -(n+6)  

For the Positive case we'll use (n+6)  

Solve the Negative Case

     -(n+6) = 1  

    Multiply

   -n-6 = 1  

  -n = 7  

  Multiply both sides by (-1)

     n = -7  

  Which is the solution for the Negative Case

Solve the Positive Case

     (n+6) = 1  

     n = -5  

Which is the solution for the Positive Case

Wrap up the solution

n=-7

n=-5

5-   |1–p|=3

The Absolute Value term is |-p+1|

 For the Negative case we'll use -(-p+1)  

For the Positive case we'll use (-p+1)  

Solve the Negative Case

     -(-p+1) = 3  

  Multiply

   p-1 = 3  

   Rearrange and Add up

     p = 4  

Solve the Positive Case

     (-p+1) = 3

Rearrange and Add up

   -p = 2  

 Multiply both sides by (-1)

p = -2

Which is the solution for the Positive Case

Wrap up the solution

p=4                             , p=-2

6 - |6–x|=5    

The Absolute Value term is |-x+6|

For the Negative case we'll use -(-x+6)  

For the Positive case we'll use (-x+6)  

Solve the Negative Case

   -(-x+6) = 5  

  Multiply

   x-6 = 5

 Rearrange and Add up

     x = 11  

Solve the Positive Case

     (-x+6) = 5  

 Rearrange and Add up

     -x = -1

  Multiply both sides by (-1)

  x = 1  

   Which is the solution for the Positive Case

Wrap up the solution

x=11              ,   x=1

7-

The Absolute Value term is |a+9|

 For the Negative case we'll use -(a+9)  

For the Positive case we'll use (a+9)  

Solve the Negative Case

     -(a+9) = 2  

  Multiply

     -a-9 = 2  

    Rearrange and Add up

     -a = 11  

  Multiply both sides by (-1)

   a = -11  

   Which is the solution for the Negative Case

Solve the Positive Case

     (a+9) = 2  

    Rearrange and Add up      a = -7  

 Which is the solution for the Positive Case

Wrap up the solution

a=-11    a=-7

8-  |k–8|=8

The Absolute Value term is |k-8|

For the Negative case we'll use -(k-8)  

For the Positive case we'll use (k-8)  

Solve the Negative Case

     -(k-8) = 8  

    Multiply

     -k+8 = 8  

    Rearrange and Add up

     -k = 0  

    Multiply both sides by (-1)

   k = 0  

  Which is the solution for the Negative Case

Solve the Positive Case

     (k-8) = 8  

  Rearrange and Add up

     k = 16  

    Which is the solution for the Positive Case

Wrap up the solution

k=0  k=16

Solutions on the Number Line

Two solutions were found :

k=16

k=0

9-|2m+1|=1

The Absolute Value term is |2m+1|  

For the Negative case we'll use -(2m+1)  

For the Positive case we'll use (2m+1)  

Solve the Negative Case

     -(2m+1) = 1  

    Multiply

     -2m-1 = 1  

Rearrange and Add up

     -2m = 2  

    Divide both sides by 2

     -m = 1  

    Multiply both sides by (-1)

     m = -1  

    Which is the solution for the Negative Case

Solve the Positive Case

     (2m+1) = 1  

Rearrange and Add up

  2m = 0  

  Divide both sides by 2

   m = 0  

 Which is the solution for the Positive Case

Wrap up the solution

m=-1

m=0

Solutions on the Number Line

Two solutions were found :

m=0

m=-1

9- |7–2r|=5

The Absolute Value term is |-2r+7|

For the Negative case we'll use -(-2r+7)  

Solve the Negative Case

     -(-2r+7) = 5  

    Multiply

     2r-7 = 5  

    Rearrange and Add up

     2r = 12  

    Divide both sides by 2

     r = 6  

Solve the Positive Case

     (-2r+7) = 5  

   Rearrange and Add up

   -2r = -2  

  Divide both sides by 2

   -r = -1  

 Multiply both sides by (-1)

   r = 1  

  Which is the solution for the Positive Case

Wrap up the solution

r=6

r=1

Answer:

4.32m²

Step-by-step explanation:

Width · Length

3.6 · 1.2 = 4.32

Answer:4.32 m

Step-by-step explanation:When trying to find the area of something with length and width you multiply them both to find your answer. (1.2 x 3.6=4.32) or you can always multiply 12 times 36 and move the decimal to where it belongs.

Answer:

= 56/ 15  and 3 11/15

Step-by-step explanation:

1 3/5 x 2 1/3

= 8/5 x 7/3

Another way to summarize this proof is to say vertical angles are congruent.

Lines are shortest distance between two point and angles are forned from the intersection of two lines.

From the given figure, they are trying to prove that the angles ANR and VNE are equal. Since these angles are formed at the point of intersection, hence another way to summarize this proof is to say vertical angles are congruent.

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Answer:

  30 ft

Step-by-step explanation:

The Pythagorean theorem can be used to find the length of the unknown side. It tells you the sum of the squares of the legs is equal to the square of the hypotenuse.

  12² +a² = 13²

  a² = 169 -144 = 25

  a = √25 = 5

The sum of the side lengths is ...

  (12 +5 +13) ft = 30 ft

The perimeter is 30 feet.

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

x = number of pies

$13.00  + (X -1)($10.00 per pie) = cost

Step-by-step explanation:

Number of pies = x

Total cost of = dollars = d

d = x + 10x

Hope that helps!

Answer: 9 divided by 5 = 1 and 4/5

Step-by-step explanation:

9 divided by 5 = 1 and 4/5

For the diagram, you will have one box completely full, and another 4/5 full.