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hjlf
3 years ago
15

The sum of three numbers is 97. The third number is 2 times the second. The second number is 9 less than the first. What are the

numbers?
Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer:

The numbers are 26.5, 53 and 17.5.

Step-by-step explanation:

97=x+(x-9)+2x

97+9=4x

106/4=4x/4

x= 26.5

x-9 = 17.5

2x= 53

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Katie ran 11.1 miles over the last three days. How many miles did she
Yuki888 [10]

Answer:

3.7 miles per day

Step-by-step explanation:

6 0
2 years ago
Find the equation of the line through (6,4) and (-3,-8)
alexdok [17]

Answer:

y = 4/3x - 4

Step-by-step explanation:

to find the equation of a line with 2 points, we use the slope formula which is:

\frac{y_2-y_1}{x_2-x_1}

we will use (6,4) as x_1[tex] and [tex]y_1 and we will use (-3,-8) as x_2[tex] and [tex]y_2. we plug this into the slope formula:

\frac{-8-4}{-3-6}

-8 - 4 = -12

-3 - 6 = -9

the slope is \frac{-12}{-9}

but we can simplify this further by dividing the fraction by -3

-12 / -3 = 4

-9 / -3 = 3

the simplified version of the slope is \frac{4}{3}

we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope

y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)

4 = 4/3(6) + b < multiply 4/3 x 6

4 = 8 + b < subtract 8 from both sides

-4 = b

our y intercept would be (0,-4)

the equation looks like the following:

y = 4/3x - 4, which is our answer

3 0
3 years ago
Latrell is going to put chocolate ice cream in x bowls for his friends. He will put 0.75 cups of ice cream in each bowl. Which e
krek1111 [17]

Answer:

0.75 cups of ice cream

x bowls

t is the total number of cups of ice cream

.75x = t

example"

If you have 5 bowls.

.75 (cups of ice cream) * 5 (bowls) = 3.75 cups of ice cream needed

Step-by-step explanation:

6 0
3 years ago
Complete the pattern 274÷1=
Orlov [11]
The answer 274 because anything divided by one is itself
5 0
3 years ago
Please help me !!!!
liq [111]

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

8 0
3 years ago
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