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jek_recluse [69]
3 years ago
12

-x<-x+7(x-2) include all of the steps to how you found your answer!

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0
-x<-x+7(x-2)
-x<-x+7x-14 Distribute the 7
-x<6x-14 Combine like terms
-7x<-14 Move all variables to one side
x>2 Divide by -7 to isolate the variable
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1. Each kid eats the same amount of food each morning.
Serhud [2]

Answer:

a) One kid eat tubs of yogurt = 1.3 tub of yogurt

b) One kid eat granola = 3.33 ounces

c) cost to feed one kid each morning is $1.12

Step-by-step explanation:

Three kids eat tubs of yogurt = 4

Three kids eat granola = 10 ounces

Cost of one tub of yogurt = 54 cents

Cost of 10 ounces of cereal = $1.26

a) One kid eats how many tubs of yogurt in a morning?

Three kids eat tubs of yogurt = 4

One kid eat tubs of yogurt = 4/3

                                            = 1.3 tub of yogurt

b) How many ounces of granola does a kid eat each morning?

Three kids eat granola = 10 ounces

One kid eat granola = 10/3

                                  = 3.33 ounces

c) How much does it cost to feed one kid each morning?

Cost of 1 tub of yogurt = 54 cents

Cost of 1.3 tub of yogurt = 54*1.3 = 70.2 cents

Converting cents to dollar:

100 cents = 1 dollar

70.2 cents = $0.7

So, Cost of 1.3 tub of yogurt (for one kid)= $0.7

Cost of 10 ounces of cereal = 1.26

Cost of 1 ounce of cereal = 1.26/10

Cost of 3.33 ounces of cereal = (1.26/10)*3.33

                                                 = $0.42

Cost of 3.33 ounces of cereal (for one kid) = $0.42

Total cost for each kid = $0.42+$0.7 = $1.12

So, cost to feed one kid each morning is $1.12

7 0
2 years ago
Divide <br><br>(x^2+10x+30)/(x+5)
Goryan [66]
Write it as a fraction


11x + 32

X + 3
6 0
3 years ago
Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)​
Helen [10]

Answer:

The equation of the line AB is  y - x -4 = 0

Step-by-step explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB :  m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{14 -6 }{10 - 2} = \frac{8}{8}  = 1

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as :    y - y0 = m (x-x0)

So,the equation of line AB is  y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is  y - x -4 = 0

5 0
2 years ago
How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?
rjkz [21]

Answer:

369.7 mL of medication

Step-by-step explanation:

How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?

From the above question,

The dosage of the medication =

2.5 tsp 3 times a day

= 2.5 × 3 = 7.5 tsp per day.

Since

1 day = 7.5 tsp

10 days = x tsp

Cross Multiply

x = 10 × 7.5 tsp

x = 75 tsp of medication for 10 days.

Step 2

It is important to note that:

1 tsp = 4.929 mL

75 tsp = x mL

Cross Multiply

x = 75 × 4.929 mL

x = 369.669 mL of medication

Approximately = 369.7 mL of medication

7 0
2 years ago
Write the equation of the line parallel to 2x - 6y = 12 that passes through the point ( -1, 4).​
vlada-n [284]

Answer:

y = 1/3x + 4 1/3

Step-by-step explanation:

2x - 6y = 12

First find the slope

Solve for y

Subtract 2x

2x - 6y -2x= 12-2x

-6y = -2x+12

Divide by -6

-6y/-6 =-2x/-6 +12/-6

y = 1/3 x -2

The slope is 1/3

Parallel lines have the same slope

Using the slope intercept form y = mx+b where m is the slope and b is the y intercept

y = 1/3x +b

And substituting in the point

4 = 1/3 (-1) +b

4 = -1/3 +b

Add 1/3 to each side

4 + 1/3 = b

y = 1/3x + 4 1/3

4 0
3 years ago
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