All categories

3 years ago

A paper company needs to ship paper to a large printing business. The paper will be

Mathematics

1 answer:

Nikolay [14]3 years ago

6 0

Answer:

Small boxes: 8

Large boxes: 11

Step-by-step explanation:

number of small boxes = x

number of large boxes = y

weight of boxes is represented by:

50x + 80y = 1280

Number of boxes is represented by:

x + y = 19

First, we'll solve for x in terms of y:

x = 19-y

Then we'll substitute that into the weight equation

50(19-y) + 80y = 1280

950 - 50y + 80y = 1280

30y = 330

y = 11

Now drop that numerical value into the number of boxes equation, and we'll get

x + 11 = 19

x = 8

Check the math in the weight equation:

50(8) + 80(11) =

400 + 880 = 1280

Let me know if you have any questions. Have a good evening!

You might be interested in

A cooler contains fifteen bottles of sports drink: eight lemon-lime flavored and seven orange flavored

dem82 [27]

Answer:

Mutually exclusive,

$P(\text{Lemon-lime or orange})=\frac{2}{3}$

Step-by-step explanation:

Please consider the complete question:

Determine if the scenario involves mutually exclusive or overlapping events. Then find the probability.

A cooler contains twelve bottles of sports drink: four lemon-lime flavored, four orange flavored, and four fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or an orange.

Let us find probability of finding one lemon lime drink.

$P(\text{Lemon-lime})=\frac{\text{Number of lemon lime drinks}}{\text{Total drinks}}$

$P(\text{Lemon-lime})=\frac{4}{12}$

$P(\text{Lemon-lime})=\frac{1}{3}$

Let us find probability of finding one orange drink.

$P(\text{Orange})=\frac{\text{Number of orange drinks}}{\text{Total drinks}}$

$P(\text{Orange})=\frac{4}{12}$

$P(\text{Orange})=\frac{1}{3}$

Since probability of choosing a lemon lime doesn't effect probability of choosing orange drink, therefore, both events are mutually exclusive.

We know that probability of two mutually exclusive events is equal to the sum of both probabilities.

$P(\text{Lemon-lime or orange})=P(\text{Lemon-lime})+P(\text{Orange})$

$P(\text{Lemon-lime or orange})=\frac{1}{3}+\frac{1}{3}$

$P(\text{Lemon-lime or orange})=\frac{1+1}{3}$

$P(\text{Lemon-lime or orange})=\frac{2}{3}$

Therefore, the probability of choosing a lemon lime or orange is $\frac{2}{3}$ .

8 0

3 years ago

What is x? <br>1. 2.7( 5.1x + 4.9) = 3.2x + 28.9 <br><br><br>2. 5(11x - 18) = 3(2x + 7)

tatyana61 [14]

Answer:

1. x≈1.4825

2. x≈2.26531

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Each cylinder is 12 cm high with a diameter of 8 cm. Calculate the volume of each cylinder. Use 3 as a value for π Give your ans

larisa [96]

hope it helps

plz follow me and mark as brainliest✌️✌️

7 0

3 years ago

Simplify the equation 5m+4=7m+6

zlopas [31]

Hope this help..... :)

6 0

3 years ago

What number am i: when you divide me by five the remainder is four, i have to digits both digits are odd, the sum of my digits i

dalvyx [7]

X is the number
x/5=5a+4
2 digits that are odd
sum is 10

ah, we can make a bit of stuff with the last 2 hints
sum is 10 and are odd
that is
9 and 1
3 and 7
5 and 5
so our possible numbers are
91,19,37,73,55
but 55 is divsible by 5 so it is out

91,19,37,73
test each
91/5 has remainder 1
19/5 has remainder 4
37/5 has remainder 2
73/5 has remainder 3

the number is 19

6 0

3 years ago