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Anna007 [38]
2 years ago
14

Hannah bought x boxes of cereal boxes and y cartons of milk. The number of milk cartons she bought was 2 more than twice the num

ber of cereal boxes she bought. The total number of cereal boxes and milk cartons she bought was 5. Which graph best shows the number of cereal boxes and milk cartons Hannah bought?

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
7 0
The answer is "a" because she has 5 total. 

Harrizon [31]2 years ago
6 0

Answer:

Graph A

Step-by-step explanation:

Let

x-------> the number of cereal boxes

y------> the number of cartons of milk

we know that

x+y=5 -----> equation A

y=2+2x -----> equation B

Solve the system of equations

Substitute equation B in equation A

x+(2+2x)=5

3x=5-2

3x=3

x=1

Find the value of y

y=2+2x------ y=2+2(1)=4

The solution of the system is the point (1,4)

therefore

The answer is the graph A

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8 0
3 years ago
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=60°, and HF = 60 feet. Find the length of GH to the nearest foot.
AlladinOne [14]

Answer:

104

Step-by-step explanation:

tan(60) = opposite/adjacent

tan(60) = X/60

X = 60×tan(60)

X = 103.9230484541

X = 104 (3 sf)

6 0
3 years ago
The perimeter of △CDE is 55 cm. A rhombus DMFN is inscribed in this triangle so that vertices M, F, and N lie on the sides CD ,
ivanzaharov [21]

Answer:

  CD = 14 cm; DE = 21 cm

Step-by-step explanation:

The perimeter is the sum of side lengths (in centimeters), so ...

  CD + DE + CF + EF = 55

  CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF

  CD + DE = 35 . . . . . . . . . . . . . . subtract 20

___

The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...

  CD/DE = CF/EF = 8/12 = 2/3

___

So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...

  CD = 2·7 cm = 14 cm

  DE = 3·7 cm = 21 cm

<em>Check</em>

  CD + DE = (14 +21) cm = 35 cm . . . . . matches requirements

7 0
3 years ago
X+2=y-4 solve equation for y
lesya692 [45]

Answer:

x=y−6

Step-by-step explanation:

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