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Maru [420]
4 years ago
8

Select all possible solutions for 2x+7 ≤ 3x-5

Mathematics
1 answer:
Leto [7]4 years ago
4 0

2x+7 <= 3x-5

subtract 2x from each side

7 <= x-5

add 5 to each side

12 <= x

x must be greater than or equal to 12

12 18 24 and 107 are possible solutions

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A baseball player comes up to bat 3 times during a league game. He either gets a hit or gets an out. How many different combinat
Stella [2.4K]

Answer:

8 different combinations are possible.

Step-by-step explanation:

Here, we have 2 different combinations for each time.

And the player comes out to bat 3 times.

So, total number of combinations are:

2^{3} i.e. a total of 8 number of times.

Let a hit is termed as 'H' and an out is termed as 'O'.

Total combinations are:

{HHH, HHO, HOH, HOO, OHH, OHO, OOH, OOO}

Kindly have a look at the tree diagram attached in the answer area.

In starting, there are 2 combinations possible, i.e. 'O' and 'H'.

After 'O' , 2 possible i.e. 'O' and 'H'.

After 'H' , 2 possible i.e. 'O' and 'H'.

and so on....

8 0
3 years ago
Write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x.
Alekssandra [29.7K]
In ax+by=c form
slope=-a/b

y intercept is when x=0


sloope of 2x-5y=12 is -2/-5=2/5

y intercept of 4y+24=5x
4y+24=5(0)
4y+24=0
4y=-24
y=-6
y int=-6

y=mx+b
m=slope
b=y intercept
y=2/5x-6

answer is 2nd optoin
4 0
3 years ago
HELPPPPPPP PLEASE AND BRAINLY STOP ASKING ME TO WRITE MORE IM IN URGENCY
babymother [125]

Answer: 1,431

<u>Step-by-step explanation:</u>

split the thing into two rectangular prisms

small prism dimensions: 18 x 2 x 3

multiply the dimensions to get 108

large prism dimensions: 7 x 21 x 9

multiply the dimensions to get 1,323

add 1,323 and 108 together to get 1,431

5 0
3 years ago
HELP A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 1 1/4 cups of mix to make one pa
a_sh-v [17]

Answer:

99

Step-by-step explanation:

6 0
3 years ago
X 2/4/8/10/16<br> Y 12458<br> O y= 2 x<br> O y=1 x<br> O y=x-1<br> Oy= x=2
Leno4ka [110]

Answer:

<em> y = 1/2 x</em>

Step-by-step explanation:

Given the table

X 2//4//8//10//16

Y 1//2//4//5//8

We are to find the equation that represent the table

Using the coordinates of x and y components from the table (2, 1) and (4, 2)

The standard expression for the equation is expressed as y = mx+c

m is the slope

c is the y-intercept

Get the slope;

m = y2-y1/x2-x1

m = 2-1/4-2

m = 1/2

Get the intercept c:

Substitute the point (2, 1) and the slope m = 1/2 into the expression y = mx+c

1 = 1/2(2) + c

1 = 1+c

c = 1-1

c = 0

Get the required equation

Recall that: y = mx+c

y = 1/2 x + 0

<em>y = 1/2 x</em>

<em>Hence the required equation is y = 1/2 x</em>

7 0
3 years ago
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