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user100 [1]
1 year ago
7

6. Samantha works twice as many hours per week as Adriana. Together they work a total of 39 h one week. a) State how you will as

sign variables. b) Write an equation to represent the information in the first sentence. c) Write an equation to represent the information in the second sentence. d) Use the method of substitution to find the number of hours worked by each person.
Mathematics
1 answer:
prohojiy [21]1 year ago
7 0

Answer:

Samantha worked 26 hours and Adriana worked 13 hours.

Step-by-step explanation:

Let s = the number of hours that Samantha worked

Let a = the number of hours that Adriana worked

s = 2a

s + a = 39

2a + a = 39

3a = 39

a = 13

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A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plu
Alisiya [41]

Answer: They will charge same amount for 360 minutes of calls.

Step-by-step explanation:

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls

For what amount of calling do the two plans cost the same?

Let the each minute of calls be 'x'.

So, for plan A would be

plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as

y_1=9+0.12x

Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as

y_2=27+0.07x

According to question, it becomes,

y_1=y_2\\\\9+0.12x=27+0.07x\\\\0.12x-0.07x=27-9\\\\0.05x=18\\\\x=\dfrac{18}{0.05}\\\\x=360

Hence, they will charge same amount for 360 minutes of calls.

5 0
3 years ago
(Please help me, I will give a 5 rate star and brainliest !!!)
Mamont248 [21]
Yes

The heavier the chicken the longer it takes to cook it.
8 0
2 years ago
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Aleksandr [31]

Answer:

c ≥ 56   is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Now, here:

The number of cans Xander needed to collect = At least 120

The number of items already collected =  64

c: the number of cans, c, that Xander must still collect.

Now, the number of cans to be collected  - Cans already collected  

=  120 - 64  = 56

So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans  =  56 cans

⇒ The number of cans to be collected ≥ 56 cans

⇒c ≥ 56 cans

or, c ≥ 56   is the REQUIRED INEQUALITY.

3 0
3 years ago
Question 9:
Arte-miy333 [17]

Answer:

I think the answer is.. .

Step-by-step explanation:

(b)

7 0
2 years ago
Mirror the speed of 16.8 m/s Olympian ran the 100 m dash in 9.6 seconds how much faster was Sarah the cheetah speed to the neare
Fiesta28 [93]

Answer:

6.4 meters per second

Step-by-step explanation:

Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?

0.9 meters per second

1.6 meters per second

6.4 meters per second

10.4 meters per second

Speed = distance / time

Olympian's speed = 100 / 9.6 = 10.4 meters per second

Sarah's speed = 16.8 meters per second.

Difference in speed = 16.8 - 10.4 = 6.4

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

6 0
2 years ago
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