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ser-zykov [4K]
3 years ago
14

The difference of two numbers is 19. The larger number is three more than twice the smaller. Find the numbers.

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0
Let x=the larger number
y=the smaller number 
If the difference of two numbers is 19,then
x - y = 19
If the larger number is 3 more than twice the smaller, 
x = 2y + 3
subsituting
x = 2y + 3 \: to \: x - y = 19
2y + 3 - y = 19 \\ 2y - y + 3 = 19 \\ y + 3 = 19 \\ y + 3 - 3 = 19 - 3 \\ y + 0 = 16
y = 16
but ×=2y+3 so,
x = 2 (16) + 3 \\ x = 32 + 3 \\ x = 35
Therefore, the two numbers are 16 and 35. 


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General admission to The American Museum of Natural History is $19.
Reil [10]

Answer:

(a) $2,375.

(b) $2,875.

Step-by-step explanation:

We have been general admission to The American Museum of Natural History is $19.

(a). To find the total cost of tickets for a group of 125 students, we will multiply 125 by $19.

\text{The total cost of tickets}=\$19\times 125

\text{The total cost of tickets}=\$2,375

Therefore, the total cost of 125 tickets would be $2,375.

(b). We have been given that the group also purchases IMAX movie tickets for an additional $4 per student.

The total cost of one ticket would be the cost of museum ticket plus movie ticket that is \$19+\$4=\$23.

The new total cost of 125 tickets would be 125 times $23.

\text{The new total cost of tickets}=\$23\times 125

\text{The new total cost of tickets}=\$2,875

Therefore, the new total cost of 125 tickets would be $2,875.

8 0
2 years ago
THE PRODUCT OF TWO RATIONAL NUMBERS CAN BE WRITTEN AS
bekas [8.4K]
A fraction EX: 25/30 
5 0
2 years ago
Read 2 more answers
1. Is there a pattern in the data points? If so, describe the pattern.
LekaFEV [45]

Answer:

1. No pattern 2. negative nonlinear 3. Variables don't seem related 4. many outliers

Step-by-step explanation:

8 0
3 years ago
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The number m divided by 10 leaves a remainder of 1, and the number n divided by 10 leaves a remainder of 4. What will be the rem
kozerog [31]

Answer:

1

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7 0
3 years ago
A cylinder shaped container has a radius of 30 cm and a height of 100 cm. A glass sphere with a redius of 12 cm is placed inside
Artemon [7]
Vcylinder-Vsphere=water


Vcylinder=hpir^2
Vsphere=(4/3)pir^3


given

cylinderradius=30 and h=100
Vcylinder=100pi30^2=100pi900=90000pi
let's leave it in terms of pi for more exactness

sphereradius=12
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last option is corrrect
4 0
3 years ago
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