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anygoal [31]
2 years ago
6

The sum of two positive integers is 18 and their difference is 2. What is the larger number?​

Mathematics
1 answer:
choli [55]2 years ago
5 0

Answer:

10

Step-by-step explanation:

we call the numbers x and y

then from the given data:

x+y=18

x-y=2

we add both sides of both equations

x+y+x-y=20

2x=20

x=10

we use the first equation:

10+y=18

then y=8

the larger number is x=10

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A bakery sold a total of 500 cupcakes in a day, and 34% of them were vanilla flavored.
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Answer:

170 vanilla flavored were sold in a day

500 X 34%

Step-by-step explanation:

7 0
3 years ago
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VladimirAG [237]

Answer:

120+(10+2x)=180

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Step-by-step explanation:

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3 years ago
Find the location of the x-intercept, the location of the y-intercept, and the slope for the line
I am Lyosha [343]

Answer:

x intercept  (15/4,0)

y intercept (0,2)

slope 8/15

Step-by-step explanation:

15y − 8x = 30.

To find the x intercept, set y =0

15(0) -8x = 30

8x = 30

Divide each side by 8 to solve for x

8x/8 = 30/8

x = 15/4

To find the y intercept, set x =0

15y -8(0) = 30

15y = 30

Divide each side by 15

15y/15 = 30/15

y =2

To find the slope we solve the equation for y

15y − 8x = 30.

Add 8x to each side

15y − 8x+8x =8x +30.

15y = 8x +30

Divide each side by 15

15y/15 = 8x/15 +30/15

y = 8/15x +2

The slope is 8/15

4 0
3 years ago
Audrey has $111 to spend on a tennis racket and lessons. The racket costs $55 and the lessons cost $14 per hour. Define a variab
Mnenie [13.5K]

Answer:

Audrey can afford 4 hours of lesson.

Step-by-step explanation:

Given that:

Amount Audrey has to spend = $111

Cost of racket = $55

Cost per lesson = $14

Let,

y be the total cost

x be the number of hours

According to given statement;

y = 14x + 55

111 = 14x + 55

111 - 55 = 14x

14x = 56

Dividing both sides by 14

\frac{14x}{14}=\frac{56}{14}\\x=4

Hence,

Audrey can afford 4 hours of lesson.

7 0
3 years ago
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