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3 years ago

Solve the linear system of equations using addition. Graph the equations to verify your solution.

Mathematics

1 answer:

Kisachek [45]3 years ago

5 0

Answer:

Infinite solutions.

Step-by-step explanation:

-4x = y + 3......(1)

y = -4x - 3........(2)

Rearranging equation (1)

y = -4x - 3 ------(3)

Adding (2) and (3) we get

0 = 0.

The original equations are identical and their graph will be the same straight line.

Any point on the line is a solution of this system, so there are infinite solution.

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Sue bought 54 ft of lumber for building a window frame each window frame requires 13 1/2 feet of lumber how many window frames h

Arturiano [62]

Answer:

The correct answer is 4 window frames.

Step-by-step explanation:

Sue bought 54 feet of lumber for building window frame.

Each window frame requires 13 1/2 feet = $\frac{27}{2}$ feet of lumber.

Therefore the number of window frames Sue can make with 54 feet of lumbers she bought is given by dividing the total amount of lumber she has by the lumber it takes to make a single window frame.

= $\frac{54}{27}$ × 2 = 2 × 2 = 4

Thus Sue can make 4 window pane from 54 feet of lumber, each of 13 and a half feet.

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3 years ago

find two consecutive numbers so that 3 times the smaller number is 43 more than 2 times the large number

Degger [83]

Answer:

24 AND 48

Step-by-step explanation:

4 0

3 years ago

Find the volume of a sphere with a radius of 6ft. Round to the nearst whole number A)151ft^3 B)678ft^3 C)904ft^3 D)2,713ft^3

Tcecarenko [31]

Answer:

Option C. The volume of the sphere is equal to $904\ ft^{3}$

Step-by-step explanation:

we know that

The Volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

In this problem

we have

$r=6\ ft$

assume

$\pi =3.14$

substitute

$V=\frac{4}{3}\pi (6^{3})=904\ ft^{3}$

7 0

3 years ago

Gloria is categorizing triangles based on their properties. The side lengths of the triangles are listed below. Triangle 1: 3 cm

viktelen [127]

B. 1 and 3
Triangle 1 is considered scalene as it has 3 sides all different sizes
And the same applies for triangle 3

8 0

3 years ago

Each container will be made of a material that costs $0.0015 per square inch. Explain how to determine the coat of each containe

aksik [14]

Answer:

Find total surface area. Multiply material unit cost by the total surface area.

Step-by-step explanation:

To find the cost of a container, you must first find the total surface area of the container. Then since you are given the unit cost for the material, you multiply the total surface are by the unit cost ($0.0015/in.²).

3 0

2 years ago