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Anna007 [38]
3 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]3 years ago
7 0
The answer is "a" because she has 5 total. 

Harrizon [31]3 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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Since the hypothesis is always the longest side of the triangle

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Which equation represents the line that passes through (–6, 7) and (–3, 6)?
ipn [44]

Answer:

y = \frac{-x}{3} + 5

Step-by-step explanation:

Given A (x₁, y₁) = ( -6, 7) and B (x₂, y₂) = (-3, 6)

Slope of line passing through points ( -6, 7) and  (-3, 6) is:

m = \frac{y_{2} -y_{1}}{x_{2} -x_{1}} =\frac{6 - 7}{-3 + 6} =\frac{-1}{3}

Now, the equation of line in point-slope form:

(y - y₁) = m (x - x₁)

Substituting the value of m and  (x₁, y₁) = ( -6, 7) in above equation,

(y - 7) = \frac{-1}{3}(x - (-6))

(y - 7) = \frac{-1}{3}(x + 6)

3y - 21 = -x - 6

3y = -x - 6 + 21

3y = -x + 15

y = \frac{-x + 15}{3}

y = \frac{-x}{3} + 5

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Crank

Answer:

v_b=11.94\ m/s

Step-by-step explanation:

<u>Linear Momentum </u>

The momentum of a system of masses m1,m2,m3... with speeds v1,v2,v3,... is given by

M=m_1v_1+m_2v_2+m_3v_3+...

When some interactions take place into the system of masses with no external forces interferring, the total momentum is not changed, which means that if the new speeds are v1', v2', v3'... then:

m_1v_1+m_2v_2+m_3v_3+...=m_1v_1'+m_2v_2'+m_3v_3'+...

The problem relates the story of Batman (m1=100kg) who is initially assumed at rest and lands on a boat with mass m2=580 kg initially moving at 14 m/s to the positive reference. When the collision takes place, both masses join and a common speed v_b is achieved by the common mass. Applying the conservation of momentum, we have

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