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Alik [6]
3 years ago
6

Diego works at a warehouse that ships two types of packages, a red package weighing 4 pounds and a blue package weighing 6 pound

s. Diego shipped a total of 40 packages weighing 180 pounds.
How many red packages were in the shipment?

Group of answer choices

10 packages

36 packages

20 packages

30 packages
Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

Step-by-step explanation:

Red =x   Blue = y

1)  4x + 6y = 180

2)  x + y = 40

solve for x in eq. 2 and plug into eq. 1

2a)  x=40-y

1a)  4(40-y) + 6y = 180

160-4y +6y = 180

2y=20

y=10

plug into eq. 2

x + 10 =40

x=30

30 red packages

;)  maybe a late Christmas gift.. :D

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hammer [34]

Answer: the correct answer is c


Step-by-step explanation: factor using perfect square


5 0
3 years ago
The sum of two numbers is ten. One number is twenty less than four times the other. Find the numbers
Brut [27]

Answer:

6 and 4

Step-by-step explanation:

Let one number be x.

Then another will be : 4x - 20

In accordance with the question;

x + 4x - 20 = 10

5x = 10 + 20

x = 30/5

= 6

x = 6

4x - 20 = 4×6 - 20 = 4

So, the numbers are 6 and 4.

5 0
2 years ago
A school district transported a total of 409 students and teachers to a zoo in buses and vans.
valina [46]

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2

Total number of students and teachers who rode to the zoo in buses will be

55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385

Total number of students and teachers who rode to the zoo in vans will be

12x\\\\=12\times 2=24

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

6 0
3 years ago
Perimeter/area (triangles) ! PLZ HELP
BartSMP [9]

Answer:

50ft^2

Step-by-step explanation:

area of triangle ABC=25ft^2

both triangle have equal area and all together it makes a rectangle ABCD so ,

rect. ABCD=25+25=50FT^2

3 0
3 years ago
Read 2 more answers
Write the nth term of the following sequence in terms of the first term of the sequence.
vovikov84 [41]

Givens

Sequence 2, - 4, 8, -16, 32 ....

First term = a = 2

Problem

Find the nth term

tn = (-1 )^(n -1) * (a)^n answer or

tn = (-1)^(n - 1) * 2^n

where a is defined as the first term (it usually is given that designation).

Try a few to make sure the formula is correct

<em>n = 1</em>

t1 = (-1)^(1 - 1) * 2^1

t1 = (-1)^0 * 2

t1 = 1 * 2 = 2

<em>n =2</em>

t2 = (-1)^(2 - 1) * 2^2 = (-1)^1 * 4 = -4

6 0
3 years ago
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