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liraira [26]
3 years ago
5

Write an equation in the form

Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

y=4x+7

Slope m=4 with the equation y2-y1/x2-x1 with any points

y-intercept (0,7)

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At carl's combine diner, there are three size of coffee drinks regular (300ml), large (500ml) and extra large (800mL), and they
MariettaO [177]

Answer:

The number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.

Step-by-step explanation:

Given that the cost for regular coffee drinks (300 ml)=$2.25

The cost for large coffee drinks (500 ml)=$3.25

The cost for extra large coffee drinks (800 ml)=$5.75

Let p,q, and r be the number of regular, large, and extra-large coffee sold.

As the diner sold a total of 37 coffees, so

p+q+r=37

r=37-p-q...(i)

The volume of p regular coffee = 300p ml

The volume of q  large coffee = 500q ml

The volume of r extra-large coffee = 800r ml

As the total volume of coffee sold was 19,100mi, so

300p+500q+800r=19100

By using equation (i)

300p+500q+800(37-p-q)=19100

300p+500q+800 x 37 - 800p - 800q=19100

-500p-300q=19100-29600

500p+300q=10500

500p=10500-300q

p=21-0.6q...(ii)

Now, the cost of p regular coffee=$2.25p

The cost of q large coffee=$3.25q

The cost of r extra-large coffee=$5.75r

As the amount of money made in coffee sales was $133.25, so

2.25p+3.25q+5.75r=133.25

By using equations (1)  we have

2.25p+3.25q+5.75(37-p-q)=133.25

2.25p+3.25q+212.75-5.75p-5.75q=133.25

3.50p+2.50q=79.5

From equation (ii)

3.5(21-0.6q)+2.50q=79.5

73.5-2.1q+2.5q=79.5

0.4q=79.5-73.5=6

q=6/0.4

q=15

From equation (ii)

p=21-0.6(15)

p=12

From equation (i)

r= 37-12-15

r=10

Hence, the number of regular, large, and extra-large drinks are 12, 15, and 10 respectively.

5 0
3 years ago
If you help me I’ll mark brainliest
Ivahew [28]

Answer:

∠2=92°

Step-by-step explanation:

Using an angle formula, -8x+144=2x+74

Simplification:

-8x+144=2x+74

-8x+70=2x

70=10x

x=7

Therefore, each angle is 88°

Now, because ∠2 is adjacent to one of 88°, they add up to 180°

Therefore,

180°=88°+∠2

∠2=92°

7 0
2 years ago
George bought 30 packets of football cards they were 14 cards and each packet how many cards did George buy
Sindrei [870]
He has 420 cards. if you have 30 packs and 14 in each just 30*14
3 0
2 years ago
I need help finding what 875 divided by 46 is ?
Luda [366]

Answer:

19.02173913043478

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the radius of a cylinder if it has a volume of 769.3 cubic meters and a height of 5 meters? (Use 3.14 for π.)
katen-ka-za [31]
769.3= (3.14) r^2 *5
153.86=(3.14) r^2
49= r^2
The square root of 49 is 7

The answer is 7.
6 0
3 years ago
Read 2 more answers
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