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3 years ago

Solve the system of equations by graphing. -x+y = -2 y = -1

Mathematics

1 answer:

Aleks04 [339]3 years ago

4 0

Answer:

the solution is (9, -1).

Step-by-step explanation:

graph the two equations on a graphing calculator (i use a website called desmos) and the point of intersection is the solution.

i hope this helps! have a great day <3

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A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104

Vaselesa [24]

Answer:

The length is no more than 56 inches.

The volume of the box is 8064 cubic inches.

Step-by-step explanation:

Given : A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in. One volume that meets this condition is contained by a box with a square end 12 in. on each side.

To find : What is the length of the box? What is the volume?

Solution :

A square end 12 inch on each side.

Then the girth of the box is given by,

$P=4\times s$

$P=4\times 12$

$P=48$

The girth of the box is 48 inches.

A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in.

So, $L+48\leq 104$

$L\leq 56$

The length is no more than 56 inches.

The maximum volume of such a box would be,

$V=L\times B$

B = area of the base (or end) of the box,

So, $B=12^2=144$

The volume is

$V=56\times 144$

$V=8064\ in^3$

Therefore, The volume of the box is 8064 cubic inches.

4 0

4 years ago

Clyde’s age is 8 years more than thrice bonnie’s age. If the product of their ages is 80, how old is Clyde

Law Incorporation [45]

Answer:

Step-by-step explanation:

Let Bonnie's age = b.

Clyde's age is 8 year more than Bonnie's age, so Clyde's age is

3b + 8

The product of the ages is 80, so

b(3b + 8) = 80

3b^2 + 8b = 80

3b^2 + 8b - 80 = 0

(3b + 20)(b - 4) = 0

3b + 20 = 0 or b - 4 = 0

3b = -20 or b = 4

b = -20/3 or b = 4

Discard the negative answer since an age is not a negative number.

Bonnie's age is 4.

Clyde's age is 3 * 4 + 8 = 12 + 8 = 20.

Answer: Clyde's age is 20.

6 0

3 years ago

The submarine is 217 feet below sea level. Identify the integer that represent the opposite of its location and its absolute val

igomit [66]

Answer:

217 ft

Step-by-step explanation:

Sea level is 0 height.

217 ft below sea level is -217 ft.

The opposite of -217 ft is 217 ft.

|-217 ft| = 217 ft

3 0

2 years ago

PLEASE HELP ASAP!!! BRAINLEST!!

djyliett [7]

Answer:

They are not congruent because they are not facing the same way.

Step-by-step explanation:

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

That is which postulate proves congruency.

Please make this Brainliest.

3 0

3 years ago

Read 2 more answers

Ana makes her own birdseed. She mixes 8 ounces of barley, 16 ounces of dried fruit, and 12 ounces of corn. How many pounds of bi

Anika [276]

Answer:

Step-by-step explanation:

If you add 8 to 12 you get 20 and then you add 16 to that 20 and then you get 36

8 + 12 = 20

20 + 16 = 36

36 ounces of bird seeds

7 0

3 years ago

Solve the system of equations by graphing. -x+y = -2 y = -1​

Solve the system of equations by graphing. -x+y = -2 y = -1