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svetlana [45]
3 years ago
11

HELPPPPPPPPPPPPPPPPWhich statements are true about the ordered pair(-1, -4) and the system of

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

When (-1,-4) is substituted into the second equation, the equation  is true.

The ordered pair (-1,-4) is a solution to the system of linear  equations.

When (-1,-4) is substituted into the first equation, the equation is  true.

Step-by-step explanation:

Given

x - y = 3

7x - y = -3

Required

What is true about (x,y) = (-1,-4)

To do this, we substitute -1 for x and -4 for y in both equations;

For x - y = 3

-1 - (-4) = 3

-1 + 4 = 3

3 = 3

<em>Hence: </em>(-1,-4)<em> is true for </em>x - y = 3<em></em>

For 7x - y = -3

7(-1) - (-4) = -3

-7 +4 = -3

-3 = -3

<em>Hence: </em>(-1,-4)<em> is true for </em>7x - y = -3

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Martha has 8 cubic feet of potting soil and 3 flower pots. She wants to put the same amount of soil in each pot. How many cubic
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Answer:

  2 2/3 cubic feet

Step-by-step explanation:

Martha will put 1/3 of the 8 cubic feet in each pot. That is ...

  (1/3)(8 ft³) = 8/3 ft³ = 2 2/3 ft³

Martha will put 2 2/3 cubic feet of soil in each pot.

3 0
3 years ago
Fourteen percent of the towns population is over the age of 65. If there are 320 residents over the age of 65, approximately wha
Alex777 [14]
320 times 0.14 = 44.8

So 45 people are over the age of 65
8 0
3 years ago
A parcel of land is in the shape of a rectangle with length L(in feet). sixty-five percent of the length is waterfront and 70 fe
OlgaM077 [116]
The length of the land = the length of the waterfront + the length of dry land

The length of the land = L
The length of the waterfront = 0.65L
The length of the dry land = 70 feet

L = 0.65L + 70
L - 0.65L = 70
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L = 70 ÷ 0.35
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8 0
3 years ago
A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the
grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = \frac{diameter}{2}=\frac{66}{2} =33 \ mm

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = \frac{4}{3}\pi r^3

Now Volume of Gumball = \frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = \frac{diameter}{2}=\frac{58}{2} =29 \ mm

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = \frac{4}{3}\pi r^3

So Volume of gumball's spherical hollow core = \frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = 150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = 48347.6\ mm^3

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0
3 years ago
I will give brainly :) NO LINKS
user100 [1]
4 12 18
:) fun little riddle
4 0
3 years ago
Read 2 more answers
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