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klio [65]
3 years ago
15

The graph of a proportional relationship is shown. What is the

Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:  B) $47/week

===========================================================

Explanation:

Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.

For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.

You can think of it like this:

2 weeks = $94 in savings

2/2 weeks = $94/2 in savings ... divide both sides by 2

1 week = $47 in savings

leading to the savings rate of $47 per week

----------

Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.

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Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement
MArishka [77]

Answer:

a. The sum of the first 100 odd positive integers - Not a statement

b. Everybody needs somebody sometime - Atomic statement

c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)

d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)

e. Every natural number greater than 1 is either prime or composite - Atomic statement

f. This sentence is false - Not a statement

Step-by-step explanation:

A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if

Statements are divided into 2:

  1. Atomic statements: These are statements that cannot be split into mini statements.
  2. Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation
3 0
3 years ago
Can someone help me please
Yuliya22 [10]

Answer:

B

Step-by-step explanation:


3 0
2 years ago
Man Street Florist charges
Digiron [165]

Answer:

2 dozens, $41

Step-by-step explanation:

Given data

Man Street Florist charges

$18 for a dozen roses and a

$5 delivery fee

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 18x+5--------------1

Blooms and Bouquets

charges $20 for a

dozen roses and a $1

delivery fee.

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 20x+1 -------------2

Equate 1 and 2 we have

18x+5=20x+1

20x-18x= 5-1

2x= 4

x= 4/2

x= 2

Hence the number of dozens is 2

the cost is (put x= 2 in eqn 1 or 2)

y= 20(2)+1

y= 40+1

y= $41

6 0
2 years ago
The forumal below is used to convert a temputure in degrees celsius, C, to a tempurturein degrees fahrenheit, F.
Vika [28.1K]

Answer:

59 F

Step-by-step explanation:

F=1.8C+32

Let C = 15

F = 1.8 (15) +32

Multiply 1.8 times 15

F = 27+32

F = 59

15 degrees C is 59 degrees F

5 0
2 years ago
Suppose you do an analysis of the starting salaries of 100 recent Lehman graduates. You find that the average starting salary is
madreJ [45]

Answer:

a) (59180,60820)

b) (59020,60980)        

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $60,000

Standard Deviation, σ = $5,000

Sample size, n = 100

a) 90% critical values

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

60000 \pm 1.64(\frac{5000}{\sqrt{100}} ) = 60000 \pm 820 = (59180,60820)

b) 95% critical values

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

60000 \pm 1.96(\frac{5000}{\sqrt{100}} ) = 60000 \pm 980= (59020,60980)

5 0
3 years ago
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