At what point do these lines intersect? A
-24x - 4y =-164
y=41 - 6x

Answer:

3x + 2y = 29

5x + 2y = 35

Step-by-step explanation:

Let

x = cost of one-inch binders

y = cost of two-inch binders

Rasheed:

3x + 2y = 29 (1)

Matar:

5x + 2y = 35 (2)

3x + 2y = 29 (1)

5x + 2y = 35 (2)

Using elimination method, subtract (1) from (2)

5x - 3x = 35 - 29

2x = 6

x = 6/2

x = 3

Substitute x = 3 into (1)

3x + 2y = 29 (1)

3(3) + 2y = 29

9 + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2

y = 10

Answer: Commutative Property of Addition

This property says that A+B = B+A. The order of addition doesn't matter.

As an example, 2+3 = 3+2 since both sides evaluate to 5.

Answer:

[tex]{ \tt{ - 2 - ( - 7) }} \\ = { \tt{ - 2 + 7}} \\ = 5[/tex]

9514 1404 393

Answer:

  2a(a^3 +a^3 b^2 +a b^2 +b^3)/(a^2 +b^2)

Step-by-step explanation:

Division is the same as multiplication by the inverse. Multiplication and division proceed left-to-right. So, we can rewrite the expression as ...

  [tex]\dfrac{a^3+a^3b^2+ab^2+b^3}{2a(a-b)^2}\times\dfrac{a^2-b^2}{a+2b}\times\dfrac{a^2+ab-2b^2}{a+b}\times\dfrac{4a^2}{a^2+b^2}\\\\=\dfrac{(a^3+a^3b^2+ab^2+b^3)(a-b)(a+b)(a+2b)(a-b)(4a^2)}{2a(a-b)^2(a+2b)(a+b)(a^2+b^2)}\\\\=\dfrac{4a^2}{2a}\cdot\dfrac{(a-b)^2}{(a-b)^2}\cdot\dfrac{a+2b}{a+2b}\cdot\dfrac{a^3+a^3b^2+ab^2+b^3}{a^2+b^2}\\\\=\boxed{\dfrac{2a(a^3+a^3b^2+ab^2+b^3)}{a^2+b^2}}[/tex]

Answer:

2/5a + 4b + 1/6c

Step-by-step explanation:

Answer:

5.83

Step-by-step explanation:

Given data

x1= -8

y1= 0

x2= -5

y2= -5

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-5-(-8))²+(-5-0)²)

d=√((-5+8)²+(-5²)

d=√(3)²+25)

d=√9+25

d=√34

d= 5.83

Hence the distance between the points is 5.83

Answer:

A

Step-by-step explanation:

the given equation can be simplified to 12m+17

so if we simply the other options we see that A = 13m+17

Answer:

149.25

Step-by-step explanation:

Man I did the question and i got it wrong so after the second time of getting it wrong it gave me the answer.

Answer:

Yes

Step-by-step explanation:

We can see step by step how to solve for x, and get 11.5:

2x+9=32

Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:

2x+9-9=32-9

=

2x=23

In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.

When I mean 1, I mean you want 1x, or just x.

Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:

2x/2=23/2

=

x=11.5

So x equals 11.5, and you were correct.

Hope this helps!

Answer:

bus is 12 and for the rest of em, i'd say walk is 9 and the car 8 and bike 7

Step-by-step explanation:

120 BUS is 1/3 and the rest is 2/3's

Answer:

Melissa

Step-by-step explanation:

Melissa earned $390 while mike only made $230

Respuesta:

1/2; 4/3; 5/3; 1/4; 1/6; 4/7

Explicación paso a paso:

1.)

4/6 * 3/4

= 24/12

= 1/2

2.) 14/5 * 10/21

= 2/1 * 2/3

= 4/3

3.)

4/10 * 6/9

= 60/36

= 5/3

4.) 3/8 * 6/9

= 1/4 * 3/3

= 3/12 = 1/4

5.)

4/10 * 5/12

= 20/120

= 1/6

6.)

15/9 * 20/21

= 3/3 * 4/7

= 4/7

Answer:

18 ft^2

Step-by-step explanation:

This quadrilateral is a parallelogram.

Area = base × height

= 6 × 3

= 18 ft^2

Answer:

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = 62.5 miles/hour

Step-by-step explanation:

Using missing information;

Assume;

Speed of the slower truck = a

Speed of the faster truck = a + 5

Distance traveled by the slower truck = d

Distance traveled by the faster truck = 600 - d

So,

a(5) = d ........ Eq1

(a+5)(5) = 600 - d

5a + 25 = 600 - d

So,

5a + 25 = 600 - 5a

10a = 575

a = 57.5

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = a + 5

Speed of the faster truck = 57.5 + 5

Speed of the faster truck = 62.5 miles/hour

Answer:

Option B and Option C

Step-by-step explanation:

If all trees in a forested area are cut down, in the following ways the air composition will change in that area:

Carbon dioxide levels increase

Oxygen levels decrease

Answer:

B

Step-by-step explanation:

the slope of the line is the number that multiplies the x

the y intercept is the constant therm

Answer:

[tex] - 2x + 4x = 2 \\ 2x = 2 \\ x = 1 \\ \\ 1 + y = 2 \\ y = 1[/tex]

Answer:

[tex]x=1\\y=1[/tex]

Step-by-step explanation:

Solve by substitution:

[tex]x+y=2\\-2x+4x=2[/tex]

[tex]2x=2;x+y=2[/tex]

Solve [tex]2x+2[/tex] for x:

[tex]2x=2[/tex]

[tex]x=2/2[/tex]

[tex]x=1[/tex]

Substitute 1 for x in [tex]x+y=2[/tex]

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

[tex]1+y=2[/tex]

[tex]y=2-1[/tex]

[tex]y=1[/tex]

[tex]x=1[/tex] & [tex]y=1[/tex]

hope this helps...

Answer:

n = 90 - 62

n = 28º

m = 180 - (62 + n + 27)

m = 180 - (62 + 28 + 27)

m = 180 - 117

m = 63º

Answer:

x=2

Step-by-step explanation:

the minimum value of y is when x = 2.

Answer:

The minimum is at x = -2

Step-by-step explanation:

f(x) = (x+2)^2 -3

This is in vertex form

f(x) = ( x-h)^2 +k  where (h,k) is the vertex

Since this is an  upwards  opening  parabola the vertex is the minimum

f(x) = (x- -2)^2 -3

The vertex is (-2,-3)

The minimum is at x = -2

Step-by-step explanation:

- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.

Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.

Answer:

below

Step-by-step explanation:

that is the procedure above

fraction of arc RS

ANGLE RcS = 60 °

60°/360°

=1/6

therefore the total fraction is 1/6

The fraction of the whole circle is arc RS = (1/6)

approximate circumference of the circle = 31.4 cm

approximate length of arc RS = 5.23 cm

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

As per the given data:

Radius of circle with center C = 5 cm

central angle = 60°

∠RCS = 60°

To find out the fraction of the whole circle is arc RS:

arc length = radius × θ {θ is in radians}

∠RCS = 60° = 60° × (π/180°) = π/3

fraction of the whole circle = arc length / circumference

= [tex]\frac{r \times \frac{\pi}{3}}{2\pi r}[/tex] = (1/6)

approximate circumference of the circle = 2πr

= 2π(5)

= 31.4 cm

approximate length of arc RS = r × θ

= 5 × (π/3)

= 5.23 cm

Hence, the fraction of the whole circle is arc RS = (1/6)

approximate circumference of the circle = 31.4 cm

approximate length of arc RS = 5.23 cm

To learn more about circle, click:

brainly.com/question/29142813

#SPJ3

Answer:

I'm not good at math

Step-by-step explanation:

Answer: step by step explanation

it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.

Answer:

[tex]\text{Integers: }20,\:21,\text{and }22,\\\\\text{Equation: }x+(x+1)+(x+2)=63[/tex]

Step-by-step explanation:

Consecutive integers are defined by integers that follow each other. Therefore, we can set up the following equation:

Let [tex]x[/tex] be the smallest integer, as denoted in the question.

[tex]x+(x+1)+(x+2)=63,\\x+x+1+x+2=63,\\3x+3=63,\\3x=60,\\x=20[/tex]

Therefore, the three integers are [tex]20,\:21,\text{and }22[/tex].

Answer:

Step-by-step explanation:

so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.

now 16x9=144

and 9x9x9=729

725x25=18225

hope that helps

have a great day/night

19NBoli

Answer:

Step-by-step explanation:

Given

[tex] {7}^{4} \div 7[/tex]

Since,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Hence,

[tex] = {7}^{4 - 3} [/tex]

[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]

Answer:

55042

Step-by-step explanation:

Answer:

55042

Step-by-step explanation: