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BigorU [14]
3 years ago
8

Write the sum of the numbers as the product of their gcf and another sum Problem: 30+54

Mathematics
1 answer:
omeli [17]3 years ago
4 0
The correct answer here is that the sum has to be 84. This is due to the fact that 30 + 54 is 84, and the greatest common factor is 6 because the factors of 30 are 1, 2, 3, 5, 6 , 10, 15, and 54's Factors: 1, 2, 3, 6, 9, 18, 27, and 54, so from this we can see that 6 is the great common factor.
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Chloe purchased some dried mango and dried kiwi to make some trail mix. The dried mango cost ​$2.11 per pound and the dried kiwi
andreev551 [17]

Answer:

Number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

Step-by-step explanation:

Total number of pounds of dried fruit purchased = 10

Let number of pounds of dried mango purchased = x

Let number of pounds of dried kiwi purchased be = y

Total weight of dried fruits purchased = x+y

So, we have a sum equation as:

x+y=10

Total cost of dried fruits = $40.34

Cost of a pound of dried mango = $2.11

Cost of x pounds of dried mango in dollars can be given as = 2.11x

Cost of a dried kiwi = $5.07

Cost of y pounds of dried kiwi in dollars can be given as = 5.07y

Total cost of dried fruits in dollars = 2.11x+5.07y

So, we have a cost equation as:

2.11x+5.07y=40.34

The system of equations is :

A) x+y=10

B) 2.11x+5.07y=40.34

Solving by substitution.

Rearranging equation A, to solve for y in terms of x

Subtracting both sides by x

x+y-x=10-x

y=10-x

Substituting value of y we got from A into equation B.

2.11x+5.07(10-x)=40.34

Using distribution.

2.11x+50.7-5.07x=40.34

Simplifying.

-2.96x+50.7=40.34

Subtracting both sides by 50.7.

-2.96x+50.7-50.7=40.34-50.7

-2.96x=-10.36

Dividing both sides by -2.96.

\frac{-2.96x}{-2.96}=\frac{-10.36}{-2.96}

∴ x=3.5

We can plugin x=3.5 in the rearranged equation A to get value of y

y=10-3.5

∴ y=6.5

So, number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

5 0
3 years ago
If 40% of a number is 56 what was the original number
svp [43]
Percent is pars out of 100
40%=40/100=4/10=0.4
'of' means multiply
0.4 times something=56
divide both sides by 0.4
something=140

th enumber is 140
5 0
3 years ago
To compare 5 in tens place to 5 in the hundreds place in the number 5,555
galina1969 [7]

Answer:

I'm not sure what you are asking for?

Step-by-step explanation:

The 5 in the tens place = 50, and the 5 in the hundreds place = 500.

To compare them (Are you asking me for the difference between them???), then, 500 - 50 = 450.

But, again, I'm not sure what you want.

6 0
3 years ago
The distance between city E and F is 678.35 miles and the distance between city F and G is 156.8 miles. What is the distance bet
Free_Kalibri [48]

E to F = 678.35 miles
F to G = 156.8 miles
G to H = x
Total distance = 2,457 miles
E to G = 678.35 + 156.8 miles
E to G = 835.15
G to H = 2,457 - 835.15
G to H = 1621.85 miles

8 0
3 years ago
Read 2 more answers
Renting a room at the Willow tree resort costs $125 for 2 people. Each additional person is $25. Write an expression that shows
Mama L [17]

Answer:

Let C be the cost for the people staying

if n <= 2 ;  C = $125

If n >2 ;  C =  $125 + $25 * (n-2)

Step-by-step explanation:

If the number of people is more than two, we need to add $25 for each of them.

Since n will be the number of people staying, we need to make sure that we substract two from this term to avoid overcharging the guests when there is less than two people.

So

(n-2) is the term that should be multiplied by a factor of 25.


5 0
3 years ago
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