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pav-90 [236]
3 years ago
5

Three friends went apple picking and then counted the apples they picked.Who had the largest red to green apple ratio? Use compl

ete sentences to explain how you got your answer.
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

Carmen had the largest red to green apple ratio of 5 : 3

Step-by-step explanation:

Red apples : Green apples

Carmen = 20 red apples : 12 green apples

= 20 / 12

= 5 / 3 = 1.67

= 5 : 3

Dylan = 12 red apples : 10 green apples

= 12 / 10

= 6 / 5 = 1.2

= 6 : 5

Eli = 16 red apples : 20 green apples

= 16 / 20

= 4 / 5 = 0.8

= 4 : 5

Carmen had the largest red to green apple ratio of 5 : 3

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A truck can be rented from Company A for ​$150 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to
enot [183]

Answer:

140 miles

Step-by-step explanation:

Let

Number of miles = m

Total cost = fixed cost + variable cost

Company A = ​$150 + $0.40m

Company B = ​$80 + $0.90m

Equate company A and company B equation

Company A = Company B

​$150 + $0.40m = ​$80 + $0.90m

Collect like terms

150 - 80 = 0.90m - 0.40m

70 = 0.50m

m = 70 / 0.50

= 140

m = 140 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

6 0
3 years ago
Which of these transformations occurs when the blades of a fan turn?
Slav-nsk [51]
C. Rotation.............
7 0
3 years ago
A sales manager sets sales goals for each of his employees. The manager increases the goals of his salespeople by 5% each month.
Stolb23 [73]

Answer:

Her sales after 6 months are = 127units

Step-by-step explanation:

Percentage increase:- The degree to which a value increases expressed in percent form is known as percentage increase.

formula for % increase = (final value - initial value)/initial value(100)

Here in the question,

percentage increase after every month is = 5%

initial value  =  95 units

therefore by applying above formula :-

[(x-95)/95]×100 = 5          [where x is the value of her sales goals after 1 month]

x = (5/100)×95+ 95

x = 99.75

Now this x will be the initial value for the next month

x₂ = (5/100)99.75+ 99.75             [ x₂ = sales goal after 2 months]

x₂ = (5/100)×99.75+ 99.75

x₂ = 104.73

similarly,

(x₃-104.73/104.73)100 = 5       [x₃ = sales after 3 months]

x₃ = 109.96

similarly for 4th month,

(x₄ -109.96/109.96)100 = 5       [x₄ = sales after 4 months]

x₄ = 115.45

for 5th month,

(x₅ -115.45/115.45)100 = 5       [x₅ = sales after 5 months]

x₅ = 121.22

finally for the 6th month

(x₆-121.22/121.22)100 = 5        [x₆ = sales after 6 months]

x₆ = 127.28

therefore,

her sales after 6 months are = 127.28 units or 127 units by rounding off

learn more on percentage increase at :

brainly.com/question/14163915

#SPJ10

3 0
2 years ago
Hillary observes that if f(x) = 2x, then the graphs of 2f(x) and f(x) + 1 both have a y-intercept of 2.
Maksim231197 [3]

Answer: No. They transform the point (0, f(0)) in the same way but not the other points on the graph.

Step-by-step explanation:

Given:

f(x) = 2x

Let the coordinate of the point be ( a , b )

Therefore :

2(fx) means that the value of y will be multiplied by 2 , that is

2f(x) = ( a , 2b)

This means that the graph of the function is stretch to the y - axis by 2

f(x) + 1 means that 1 will be added to the value of y , that is

This means that the graph of the function move upward to the y - axis by 1

f(x) + 1 = (a , b + 1)

This shows that they transform the point (0, f(0)) in the same way.

Take for example the graph of 3f(x) and the graph of f(x) - 5

The graph of 3f(x) stretch to the y - axis by 3 when the graph of f(x) - 5 move downward to the y axis by 5 .

We can therefore conclude that

if f(x) = 2x, then the graphs of 2f(x) and f(x) + 1 both have a y-intercept of 2.They transform the point (0, f(0)) in the same way but not the other points on the graph.

7 0
4 years ago
Simplify the following equation<br> x^5 * x^-3 =x^n<br> A. 4<br> B. -2<br> C. 2<br> D. 8
Serjik [45]

Answer:

x=2

Step-by-step explanation:

x^5 * x^-3 =x^n

We know a^b * a^c = a^(b+c)

x^(5 -3) =x^n

x^2 = x^n

2=n

4 0
4 years ago
Read 2 more answers
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