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
SashulF [63]
3 years ago
8

Katie,Elizabeth,and Siobhan volunteer at the hospital. In a week,Katie volunteers 3 hours more than Elizabeth does and Siobhan v

olunteers 1 hour less than Elizabeth.Over three weeks,the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's Volunteer hours in 3 weeks.Complete the table to find out how many hours each person volunteers each week.
Mathematics
2 answers:
Tema [17]3 years ago
7 0
Let's say that x represents hours that Elizabeth volunteers over 1 week. Katie volunteers x+3 and Siobhan x-1 hours per week. The equation that arises from condition in text is:
3*(x+3) = 3*(x + x-1)
x+3 = 2*x - 1
2*x - x= 3+1
x=4.

Elizabeth volunteers    7 hours
Katie volunteers          4 hours
Siobhan volunteers     3 hours 
Dafna11 [192]3 years ago
5 0
Although you didn't include the table, I can see that you can build a system of three equations with three variables.

Let the variables K, E and S be the number of hours Katie, Elizabeth and Siobhan volunteer, respectively, in a week.

Then

Katie volunteers 3 hours more than Elizabeth

1) K = 3 + E

Siobhan volunteers 1 hour less than Elizabeth

2) S = E -1

Over three weeks, the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's.

3) 3K = 3 (E + S).

Now you can solve the system in many ways. I will show which I think is easiest.

First, simplify #3) dividing both sides by 3 to get

4) K = E + S (this is the same # 3 simplified)

Use # 1 and # 4 to obtain

3 + E = E + S

Subtract E from both sides to get

S = 3.

Now you can subtract # 2 from # 1 to get

K - S = 3 + E - (E -1)
K - S = 3 + 1
K - S = 4
K = S + 4
K = 3 + 4 = 7

Now I will use # 2 to obtain E

S = E - 1
E = S + 1
E = 3 + 1
E = 4.

Now you have all the number of hours:
K = 7
E = 4
S = 3

You can (and should) check that those results match the statements.
You might be interested in
Rob and Alan went to taco express. Rob bought seven tacos and to fajitas and paid $12.65. Adam bought 4 tacos and one fajita and
Nataliya [291]
I did the math and each taco is $1.25 each.
8 0
3 years ago
What is 9.65+0.4, 16.058- 1.2
gogolik [260]

Answer:

Step-by-step explanation:

9.65+0.4=10.05

16.058-1.2=14.858

4 0
1 year ago
Un rectangulo de madera se uso para en marcar un espejo en forma de rombo.Si los lados del marco miden 80.5 cm y 36.4, y las dia
QveST [7]

Answer:

1465.1 cm²

Step-by-step explanation:

El espejo en forma de diamante tiene la forma de rombo

Tenga en cuenta que: las diagonales del rombo tienen las mismas medidas de esos lados

Por lo tanto, el área del espejo se calcula como:

1/2 × Diagonal 1 × Diagonal 2

Diagonal 1 = 80.5 cm

Diagonal 2 = 36.4 cm

= 1/2 × 80.5 cm × 36.4 cm

= 2930.2 cm² / 2

= 1465.1 cm²

Por tanto, el área del espejo es 1465.1 cm².

8 0
2 years ago
3 and 5 form what type of angle pair? A. corresponding angles B. alternate interior angles C. consecutive interior angles D. alt
Andre45 [30]

Answer:

C. consecutive interior angles

Step-by-step explanation:

The subject angles are between lines <em>a</em> and <em>b</em>, so are interior (not exterior). They are on different corners of the intersection, so are not corresponding. They are on the same side of line <em>c</em>, so are not alternate. The share a side, but not a vertex, so they are consecutive. The appropriate choice is ...

... C. consecutive interior angles

6 0
3 years ago
Read 2 more answers
4. Use the distributive property to simplify : 12(2−6).
olasank [31]

Answer:

-48

Step-by-step explanation:

12 x 2=24

12 x 6= 72

24 - 72 = -48

7 0
3 years ago
Other questions:
  • Mr delaney broke his piggy bank with a sledge hammer and found that it only contained quarters and pennies. If he had a gotal of
    9·1 answer
  • How many terms does the polynomial x^2 y^2 have
    11·1 answer
  • Goran needs to drive 14 miles to work. so far, he has driven 2.2 miles. how many more miles must he drive?
    6·1 answer
  • Some friends spent the afternoon collecting aluminum cans for
    9·2 answers
  • mary is 14. In four years, her age will be 2/3 the age of her sister. How old will Mary's sister be in two years
    12·1 answer
  • Use a graphing tool to solve the equation below for x.
    5·2 answers
  • Help this is geometry! Help me please!
    15·1 answer
  • When it comes to money, you are either_____<br> or a_______
    13·1 answer
  • What is the standard form equation of an ellipse that has vertices (18,1) and (−10,1) and co-vertices (4,14) and (4,−12)?
    12·1 answer
  • Which choice shows a function with a domain of {-4, -2, 2, 4)?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!