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PIT_PIT [208]
3 years ago
5

A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers​

Mathematics
1 answer:
sashaice [31]3 years ago
4 0

Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

second number = y

X+2y=13 given this isolate x  x = 13-2y

2x+y=14 substitute 13-2y for x

2(13-2y)+y=14

26-4y+y=14

-3y=-12

y=4 taking this number substitute into either equation above

x+2(4)=13

x+8=13

x=5

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2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apa
Ber [7]

Answer: the rate of speed for train A is 66 miles per hour.

Step-by-step explanation:

Let x represent the speed of train B.

2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.

The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.

Distance = speed × time

Distance travelled by train A after 4 hours is

4(x - 16) = 4x - 64

Distance travelled by train B after 4 hours is

4 × x = 4x

Since the total distance travelled by both trains is 720 miles, then

4x - 64 + 4x = 720

8x = 720 - 64 = 656

x = 656/8 = 82 miles per hour

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82 - 16 = 66 miles per hour.

6 0
3 years ago
Cooper is taking a multiple choice test with a total of 80 points available. Each question is worth exactly 4 points. What would
VLD [36.1K]

Answer:

80-4(2)=72; 80-4(x) if he got x wrong.

3 0
3 years ago
How should the decimal point in 34.05 be moved to determine the product 34.05×106 ?
r-ruslan [8.4K]

Answer: Six places to the right

Step-by-step explanation:

For this exercise it is important to remember that. by definition, the exponent of a number indicates the number of times you must use the same factor to multiply.

Given:

b^n

"b" is the base and "n" is the exponent.

In this case, you have the following multiplication provided in the exercise:

34.05*10^6

Notice that the base 10 has an exponent 6. This indicates the following:

10^6=10*10*10*10*10*10=1,000,000

By definition, moving the decimal point 6 places to the right (because there are six zeros), is the same as multiplying the decimal number 34.05 by 1,000,000.

  Therefore, based on the explained, when you move the decimal point six places to the right, you get the following product.

34.05*10^6=34,050,000

3 0
2 years ago
What is the next number in this sequence? 2,   16,   128,   1024,   ___________
TEA [102]
Just multiply by 8 each time hope this helps :)))
5 0
2 years ago
During the summer , you want to earn at least $150 per week. You can earn$10 per hour working for a farmer, and $5 per hour baby
almond37 [142]
X = nr. hrs working for a farmer;
y = nr. hrs. babysitting;
x + y <= 25;
10x + 5y >= 150

a) Solve the system => one of the solution is  x =5; y = 20(babysitting)
b) 10 + 12 =22 <= 25; 10*10 + 5*12 = 160 >=150.


7 0
3 years ago
Read 2 more answers
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