1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aev [14]
2 years ago
13

The first team of workers received 50 kg of cement less than the second team. for every hour of work the first team was using 15

0 kg of cement, while the second team was using 200 kg. in three hours the first team had 1.5 times as much remaining cement as the second team. how much cement was delivered to each team of workers?
Mathematics
1 answer:
stepladder [879]2 years ago
8 0
There are 2 unknown terms in this problem 
the amount of cement the first team received is termed as 'x' hereafter 
the cement the second team received is termed as 'y'
the first team received 50 kg less, the 1st equation is as follows;

x = y - 50    after rearranging 
1) x-y = -50
for every hour 150 kg and 200 kg were used by the two teams separately 
after three hours first team used up 150*3 = 450 kg
the second team used up 200 * 3 = 600 kg
however the first team had 1.5 times as much as second team had after three hours. 
After three hours;
the amount second team had leftover was y - 600
the amount first team had leftover was x - 450
 the amount the second team had ,multiplied by 1.5 is equal to what the first team had
we can build the 2nd equation using this information

1.5 * (y-600) = x-450
1.5y - 900 = x - 450 
rearrange the equation,
 
 1.5y - x = -450 +900
2) 1.5y - x = 450 

add 1st and 2nd equations to eliminate x 
1) + 2)     (x - y = -50) + (1.5y - x = 450)
1.5y - y = 450 -50
0.5y = 400
y = 400/ 0.5
y = 800 kg
substitute y = 800 in x = y - 50
x = 800 - 50 
x = 750 kg

first team received 750 kg and second team received 800 kg


You might be interested in
Find the measures of an interior angle and an exterior angle of a regular hexagonhexagon.
katen-ka-za [31]

Answer:

An exterior angle=60°

An interior angle=120°

Step-by-step explanation:

Hexagon has 6 sides

Each exterior angle=360➗number of sides

Each exterior angle=360 ➗ 6

Each exterior angle=60°

Each interior angle=180-60

Each interior angle=120°

3 0
3 years ago
Solve the following formula for t.<br> A= J(1 + rt)
Lubov Fominskaja [6]

Explic

Pasos para resolver una ecuación linea

A=J(1+rt)

Usa la propiedad distributiva para multiplicar J por 1+rt.

A=J+Jrt

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.

J+Jrt=A

Combina todos los términos que contienen J.

(1+rt)J=A

La ecuación está en formato estándar.

(rt+1)J=A

Divide los dos lados por 1+rt.

rt+1(rt+1)J=rt+1A

Al dividir por 1+rt, se deshace la multiplicación por 1+rt.

J=rt+1A

​

 

4 0
2 years ago
-1/2(10x + 2) - 7 = -x - 4
xxTIMURxx [149]
The answer would be -1. ☺️
7 0
3 years ago
Read 2 more answers
What are the next two likely terms in each sequence:80.1, 85.3, 90.5, .
AnnyKZ [126]

Answer:

We have 85.3 - 80.1 = 5.2 and 90.5 - 85.3 = 5.2;

So, the next two likely terms are: 90.5 + 5.2 = 95.7 and 95.7 + 5.2 = 100.9;

Step-by-step explanation:


3 0
3 years ago
Which of the following would be an example of a service?
RoseWind [281]

Answer:

A, a waiter serving food

Step-by-step explanation:

a waiter is being of service by taking your order so it can be prepared

7 0
3 years ago
Other questions:
  • How can brady use fraction strips to show that 3/4 and 7/8 are not equipment
    6·1 answer
  • How to solve logarithms
    13·1 answer
  • 1 US Dollar =13.05 pesos 1meter =1.094 yars
    12·1 answer
  • Choose all the answers that apply.
    15·1 answer
  • The two solids are similar and the ratio between the lengths of their edges is 2:7 what is the ratio of their surface areas?
    8·1 answer
  • Dan invests £3400 into his bank account.
    15·1 answer
  • Can someone give me work for the estimate
    5·1 answer
  • What number is 38% of 60
    6·2 answers
  • Someone please help me with this question
    13·2 answers
  • Lisa plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m mo
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!