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dangina [55]
2 years ago
13

Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross

multiplied to get 240 = 240. why is this?
Mathematics
1 answer:
frez [133]2 years ago
4 0

The cross products of the proportion are equal.

According to the question, Sonny's equation can be written as follows.

16/x = 48/15

Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.

16/5 = 48/15

When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.

16*15= 48*5

The values of both the products are equal which is 240.

Therefore, because the cross products of the proportion are equal.

Learn more about Proportion on:

brainly.com/question/1496357

#SPJ4

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PLEASE HELP ASAP!!!!
mylen [45]

Answer:

50

Step-by-step explanation:

4* 10 = 40

2 * 5 = 10

10 + 40 = 50

5 0
3 years ago
. Roger uses his truck to plow parking lots when it snows. He wants to find a model to predict the number of service calls he ca
expeople1 [14]

Answer:

4.1 calls

Step-by-step explanation:

The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:

c(s)=0.8s+0.29

Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:

c(4.7)=0.8*4.7+0.29\\c(4.7)=4.05\ calls

Rounding to the nearest tenth, Roger will get about 4.1 calls.

6 0
4 years ago
A soda can has a diameter of 6 cm. What is the circumference of the can?
nexus9112 [7]

C = 2PIr

C = 2 * 3.14 * 3 = 18.84 cm

7 0
4 years ago
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several
Alchen [17]

Answer:

a) The system that models the situation is:

p + 0.2m = 3

p + m = 5

b) The solution of the system is:

m = 2.5

p = 2.5

Step-by-step explanat:

It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.

It has a mixture of 20% peanuts and 80% almonds.

p: number of pounds of peanuts

m = amount of mixture

The equation that represents the amount of peanut and mixture that is needed is:

p + m = 5 pounds

m = 5-p (i)

The amount of peanut in total that the mixture should have is:

p + 0.2m = 0.6 (5)

p + 0.2m = 3 (ii)

a) The system that models the situation is:

p + 0.2m = 3

p + m = 5

Now we substitute (i) in (ii) and clear p.

p + 0.2 (5-p) = 3

p-0.2p = 2

p = 2.5 pounds

Now we find m

m = 5 - 2.5

m = 2.5 pounds

b) The solution of the system is:

m = 2.5

p = 2.5

7 0
3 years ago
What is the perimeter of a square with 8-inch sides
yawa3891 [41]
The perimeter is 32 because if you add up all the sides you get 32 and 8 times 4 is 32
5 0
4 years ago
Read 2 more answers
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