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3 years ago

Using the following production tally, determine how many total mousetraps were produced during a shift:

1 answer:

4 0

2466
No. of Packages sealed
= (1 for PreviousShift) + (40 for MyShift) = 41. 

PreviousShift top-up: (60-52) 
MyShift sealed: (40x60) [for MyShift’s production only] 
MyShift unsealed: 24 
Rejected: 34 

Total = 8 + 2400 +24 + 34 
 = 2466
i answered this question on yahoo as well

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Write a system of equations to model each situation. Solve using any method:

ivolga24 [154]

Answer:

a=50 b=20

Step-by-step explanation:

Call A and B the 2 present ages.

Ten years from now, A is twice as old as B -->

(A + 10) = 2(B + 10) (1)

Five years ago, A was 3 times as old as B -->

(A - 5) = 3(B - 5) (2).

Solve the system (1) and (2).

From (2) --> A = 3B - 15 + 5 = 3B - 10.

Replace this value of A into (1) -->

3B - 10 + 10 = 2B + 20 --> B = 20. Then,

A = 3B - 10 = 60 - 10 = 50.

Check

!0 years from now --> A = 60 and B = 30 --> A = 2B .OK

5 years ago --> A = 45 and B = 15 --> A = 3B. OK

6 0

3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Naily [24]

Question: Where is the y2? Please be more specific!

3 0

3 years ago

What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

Naddik [55]

ANSWER

The turning point is

$(1,-3).$

EXPLANATION

The function given to us is

$f(x) = (x - 1) ^{3} - 3$

At turning point,
$f '(x) = 0$

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

We divide through by 3.

$(x - 1) ^{2} = 0$

We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

$f(1) = (1- 1) ^{3} - 3$

$f(1) = 0 - 3$

$f(1) = - 3$

Therefore the turning point is

$(1,-3)$

C is the correct answer.

6 0

4 years ago

Read 2 more answers

Condense the expression to the logarithm of a single quantity.

vladimir1956 [14]

Answer:

$\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)$

Step-by-step explanation:

-> Apply log rules

$\log _3\left(x^{\frac{1}{2}}\right)-2\log _3\left(y+8\right)$

$\log _3\left(x^{\frac{1}{2}}\right)-\log _3\left(\left(y+8\right)^2\right)$

-> Apply basic math rules

$\log _3\left(\frac{x^{\frac{1}{2}}}{\left(y+8\right)^2}\right)$

7 0

2 years ago

A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what

Thepotemich [5.8K]

X=3

x is the width of the sidewalk
The outside dimensions of the walkway are 12 + 2x by 8 + 2x
The total area is (12 + 2x)(8 + 2x)
The total area minus the area of the pool should be equal to the area of the pool

Hoped this helped!

8 0

3 years ago