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Basile [38]
2 years ago
13

A worker in an assembly line takes 7 hours to produce 28 parts. at that rate, how many parts can she produce in 35 hours?

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
7 0
During 7 hours: 28 parts assembled
during 14 hours: 56 parts assembled
during 21 hours: 84 parts assembled
during 28 hours: 112 parts assembled
during 35 hours: 140 parts assembled
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NEED NOW!
inessss [21]
D is the answer. Hope this helps!
7 0
3 years ago
Ellie, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $1
Ber [7]

Answer:

The weight of the package is 1 kilograms.

It will cost  $ 13 by both the couriers services.

Step-by-step explanation:

Let the weight of her package is x kilograms

Now, according to the question:

The charges of first Courier = $10 + $3(x)

and The charges of Second  Courier = $7 + $6(x)

Also, for x  kilograms, both the charges are equal

⇒ $10 + $3(x)   =  $7 + $6(x)

or, 10 + 3x =  7 + 6x

or, 10 -7 = 6x - 3x

⇒ 3x = 3, implies  x = 3/3 = 1

⇒ The weight of the package is 1 kilograms.

It will cost :  10 + 3(1) = $ 13  = 7 + 6(1) by both the couriers services.

5 0
3 years ago
Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t
gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

Therefore, the equation x=-7 represents the line of symmetry of the given parabola.

4 0
3 years ago
A shopper bought a 12-pound bag of oranges for 18.75. What is the unit price per ounce?
noname [10]

Answer:

About $0.10 per ounce

Step-by-step explanation:

12 pound costs $18.75. Lets find the cost per pound first:

Cost Per Pound = \frac{18.75}{12}=1.5625

We know, there are 16 ounces in 1 pound.

We know 1 pound costs 1.5625

To find cost per ounce, we have to divide this by 16.

So,

Cost Per Ounce = \frac{1.5625}{16}=0.097

Rounded to nearest cent, that would be 10 cents per ounce

5 0
3 years ago
Tan^2 70° -sec^2 70°​
kipiarov [429]

Answer:

-1

Step-by-step explanation:

We need to find the value of tan² 70° -sec² 70°​.

We know that,

\sec^2\theta-\tan^2\theta=1 ...(1)

We can write the given expression as :

tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)

=-(sec² 70°-tan² 70°)

Using identity (1)

=-(1)

= -1

Hence, the value of the given expression is -1.

4 0
2 years ago
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