find the solution of the system of linear equations below
y = 5x +1
–5x + y = 1​

Answer:

I’m pretty sure it’s D

Step-by-step explanation:

A. Lets convert millimeters into kilometers.

[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]

since 4000000mm = 4km, A is true. (Not the answer)

B. Lets convert millimeters into centimeters.

[tex]1cm = 10mm \\ 10mm = 1cm \\ 10 \times 30 = 1 \times 30 \\ 300mm = 30cm \\ 30cm > 3cm[/tex]

Since 300mm > 3cm, B is true. (Not the answer)

C. Lets convert millimeters to meters.

[tex]1000mm = 1m \\ 1m = 1000mm \\ 1 \times 5 = 1000 \times 5 \\ 5m = 5000mm[/tex]

Since 5m = 5000mm, C is NOT true. (Answer)

D.Lets convert metres to kilometres.

[tex]1km = 1000m \\ 1 \times 2 = 1000 \times 2 \\ 2km = 2000m \\ 2km < 20km[/tex]

Since 2000m < 20km, D is true. (Not the Answer.)

9514 1404 393

Answer:

  (b)  10,000π ft³

Step-by-step explanation:

The relation between circumference and radius is ...

  C = 2πr

  r = C/(2π) = (20π)/(2π) = 10 . . . . feet

The volume of a cylinder with radius 10 ft and height 100 ft is ...

  V = πr²h

  V = π(10 ft)²(100 ft)

  V = 10,000π ft³

Answer:

10,000π ft3

Step-by-step explanation:

I took the test

Answer:

$7700

Step-by-step explanation:

Given data

Rate= 2%

Principal= $7000

Time= 5 years

The simple interest expression is

A=P(1+rt)

substitute

A=7000(1+0.02*5)

A=7000(1+0.1)

A=7000*1.1

A=7700

Hence the amount is $7700

Answer:

m= -9

Step-by-step explanation:

Hope this helps

Answer:

a i think im sorry if wrong

Answer:

2, 3, 5, 7

Step-by-step explanation:

They are all prime

Answer: 2,3,7,5

Step-by-step explanation:

2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself

Answer:

400 J

Step-by-step explanation:

Kinetic energy = ½ mv²

mass = 50 kg

velocity = 4 m/s

Kinetic energy = ½×50×(4)²

= ½×50×16

= 50×8

= 400 J

Option Four

[tex]mass(m) = 50kg \\ velocity(v) = 4ms {}^{ - 1} \\ kinetic \: energy = \frac{1}{2} mv {}^{2} \\ = \frac{1}{2} \times 50 \times (4) {}^{2} \\ = 400[/tex]

Answer:

"A relative frequency distribution is a table that shows the relative frequency for all categories as shown below. Notice that the sum of the relative frequencies is always equal to 1. The percentage of a category is found by multiplying the relative frequency of that category by 100."

Credits To: statistics-made-easy.com › what-is-relative-frequency

Answer:

x=19

Step-by-step explanation:

90+7x+3+128+5x+8+111+9x-19=(6-2)180 (angle sum of polygon)

x=19

Answer:

x = 0.2

Step-by-step explanation:

Answer:

r = 4

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

V = 100.48

h = 6

π = 3.14

Work:

V = πr²(h/3)

100.48 = r²(3.14)(6/3)

100.48 = r²(3.14)(2)

100.48 = r²6.28

r² = 100.48/6.28

r² = 16

[tex]\sqrt{r^2} =\sqrt{16}[/tex]

r = 4

Answer:

The volume of the container is = 8138.88 cubic centimeters

Radius of the cone = 4 cm

Height of the cone = 9 cm

Volume of the cone =

So putting the values as pi=3.14 , r=4 and h=9 we get

= 150.72 cubic cm

So, the number of times the cone can be filled is =

The number of times is = 54.

Step-by-step explanation:

54 is your answer

54 times can a cone fill with the grain that is stored in the container.

The formula for the volume of a cone is V=1/3hπr².

Given:

volume of the container is = 8138.88 cm³

Radius  = 4 cm

Height = 9 cm

Volume of the cone =1/3*π*r²*h

=1/3*3.14*4*4*9

= 150.72 cm³

Thus, the number of times the cone can be filled is.

=volume of the container/Volume of the cone

= 8138.88 cm³/ 150.72 cm³

=54

Hence, 54 times can be filled.

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Answer: Galaxy c is the farthest

Step-by-step explanation:

Answer:

8x<80

Step-by-step explanation:

The teams are teams of 8, so 8x is how many people on a team (8) times total number of teams (x). You want it to be less than 80, because, as it said, fewer than 80 people signed up.

Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Step-by-step explanation:

Given

Quadratic Equation is  [tex]x^2-x-(2a+2)[/tex]

[tex]-4a[/tex] is the solution of the given equation

[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Answer:

x = [tex]7\sqrt{3} [/tex] inches

Step-by-step explanation:

- 2021 Edmentum

The height x of the equilateral triangle is 7√3 inches.

Equilateral triangles are triangles that have all their sides and angles equal to each other. The three angles are 60 degrees each.

Therefore,

The side length of the equilateral triangle is 14 inches.

Therefore, To find the height of the triangle using the Pythagoras theorem.

c² = a² + b²

14² - 7² = b²

b² = 196 - 49

b² = 147

b = 7√3

Hence, The height x of the equilateral triangle is 7√3 inches.

learn more on the equilateral triangle here:

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Answer:

It is correct

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

[tex]x+y=100\\y=100-x[/tex]

Also, The bagel shop made $385.

[tex]7x+2y=385[/tex]

Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]

[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]

So,

Number of special bagel sandwiches = 37

Answer:

108

Step-by-step explanation:

To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism

Answer:

a

Step-by-step explanation:

hiiiiiiiii

Answer: Its B. Side a is 2 inches long and side b is 1.5 inches long.

Step-by-step explanation:

Answer:

3. 74

Step-by-step explanation:

The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.

5^2 = 25

7^2 = 49

25 + 49 = 74

So it would be the square root of 79. I hope this helps! :)

The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a right triangle has legs that are 5 cm and 7 cm long.

Let the length of the hypotenuse side be x.

Now, x²=5²+7²

x²=25+49

x²=74

x=√74 units

Therefore, option 3 is the correct answer.

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Respuesta: 3/2= 1 1/2

Answer:

1 1/2 or 1.5

Step-by-step explanation:

To divide a fraction, use the phrase, "keep, change, flip"

We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.

So 3/4 divided by 1/2 becomes:

3/4 x 2/1

= 6/4 = 1 1/2