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2 years ago

Eric has $25 to purchase magazines and to pay for his lunch. Each

Mathematics

1 answer:

faust18 [17]2 years ago

8 0

Answer:

Step-by-step explanation:

The maximum amount Eric can spend on magazines is $25 less the cost of lunch, $15.

The appropriate inequality sign would be less than since he cannot spend more than $25.

Also, the amount he can spend on magazines would be what is left after paying for lunch.

So the correct inequality is 4m - 15 < 25

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The inside of tank is in the shape of a right rectangular prism. The base of the prism is 85 cm by 64 cm. What is the minimum he

Allisa [31]

Answer:

16.9 cm

Step-by-step explanation:

The volume of a prism = Area of base × height

For a rectangular prism, the base of the area = length × breadth

The volume of the liquid = 92 L

Since 1 L = 1000 cm³, 92 L = 92000 cm³

92000 = 85 × 64 × h

5440 h = 92000

h = 92000 ÷ 5440 = 16.9 cm

8 0

2 years ago

What is the range of the function shown in the graph?<br>

Vika [28.1K]

Answer:

y ≥ 2

Step-by-step explanation:

Range is the y-axis, so we have to look at the graph to find what numbers the line hits.

The line starts at y = 2 and goes up forever (the arrow indicates this), so that means that this line hits all y-values above 2.

Therefore the range is any y-value 2 or higher, so the answer is y ≥ 2.

6 0

3 years ago

Given: ABCD is a parellelogram.<br><br> Prove: AB=CD and BC=DA

ozzi

Answer:

Step-by-step explanation:

We have given a parallelogram ABCD.

For a parallelogram,

Opposite pair of sides are parallel to each other.

i.e AD is parallel to BC and AB is parallel to CD.

From the attached figure,

∡1 = ∡4 and ∡2 = ∡3 {If two parallel lines cut by a transversal line then alternate interior angles are congruent }

Next, AC ≅ AC {Reflexive identity}

hence, ΔABC ≅ ΔCDA , By Angle-Side-Angle(ASA) congruent property of triangle.

Therefore, AB = CD and AD = BC {Proved}

6 0

2 years ago

Read 2 more answers

The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?

gregori [183]

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

$(2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)$

On comparing both sides, we get

$\dfrac{-3+a}{2}=2$

$-3+a=2\times 2$

$a=4+3$

$a=7$

And,

$\dfrac{3+b}{2}=0$

$3+b=0$

$3+b-3=0-3$

$b=-3$

Therefore, the coordinates of point B are (7,-3).

5 0

2 years ago

Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A

motikmotik

Answer:

Step-by-step explanation:

8 0

3 years ago