Shelly bought a bed sheet for $1699.
She gave the Shopkeeper $2000 - what
amount will be returned
by
the shopkeeper?

we set y for 0 and get x = -5

this is your x-intercept

we set x for 0 and get 5y = -5

y = -1

(-5,0)

(0,-1)

hope this helped :)

Answer:

1kg of onion is $1.5

Step-by-step explanation:

He paid $10 and got $1.50 back, meaning that the total price for the 2kg and 3kg of the potato and onion is:

10 - 1.5 = $8.50

Now, equating the prices of the two (take x as the cost of the potato per kg and take y as the cost of the onion per kg):

x -0.5 = y

x - y = 0.5  ---- Eq 1

Equating the total costs:

2x + 3y = 8.5 ---- Eq 2

Multiplying Eq 1 by 2:

2x - 2y = 1 ---- Eq 1'

Subtracting Eq 2 from Eq 1':

2x - 2x +3y - (-2y) = 8.5 - 1

5y = 7.5

y = 1.5

Substituting this into the first equation:

x - 1.5 = 0.5

x = 2

Hence,

the cost of the Potato is $2, and

the cost of the Onion per kg is $1.5

Hope this helps, and have a wonderful time ahead on Brainly!

Answer:

1/15

Step-by-step explanation:

2/3*5/5 - 3/5*3/3( we are multiplying and dividing by the same number in order to get the same denominator. as 5/5 = 1 and 3/3= 1)

2/3*5/5 - 3/5*3/3

= 10/15-9/15

= 1/15

Answer:

3/9

Step-by-step explanation:

Common denominator: 27

24/27 - 9/27 = 15/27 = 3/9

Answer:

You would have 10 more legos than your sister.

Step-by-step explanation:

20-10=10

Answer:

B.) –12x + 1.50

Step-by-step explanation:

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1.6 pounds of lettuce costs :

1 pound of lettuce costs :

Answer:

perimeter = (8x + 3mm + 5mm) ×2

area = (8x + 3mm) × 5mm

Answer:

Perimeter: 48mm

Area: 95mm

Step-by-step explanation:

Perimeter=2(l+w)

2((8x+3)+5)

-8x=2(3+5)

-8x=2(8)

-8x=16

x=2

2((8(2)+3)+5)= 48

So the perimeter is 48mm

Area=wl

l=19mm

w=5mm

19*5=95mm

So the area is 95mm

Answer:

9.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 a)

b)

c)

10 a)

b)

c)

um what do you mean by that?

Answer:

[tex]D)\:(3x^{2} +2)(x+4)[/tex]

Step-by-step explanation:

[tex]3x^{3} + 12x^{2} + 2x + 8[/tex]

Group, [tex]3x^3+12x^2+2x+8[/tex]  [tex]=(3x^{3} +12x^{2} )+(2x+8)[/tex]factor out [tex]3x^{2}[/tex]in the first and 2 in the second group.

[tex]3x^{2} (x+4)+2(x+4)[/tex]

Factor out common term [tex]x+4[/tex] by using distributive property.

polynomial [tex]3x^{2} +2[/tex] is not factored since it does not have any rational roots.

[tex](3x^{2} +2)(x+4)[/tex]

_____________________________

Answer:d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Having completed the triangle to the rectangle, you can immediately understand through the Pythagorean theorem that they will be congruent

Then by the Pythagorean theorem:

[tex]\ \sf Points \ F (5 \ ; \ 1)[/tex]

[tex]\sf \displaystyle AB=\sqrt{5^2+1^2} =\sqrt{26 } \ \ ; \ \ FG=\sqrt{5^2+1}=\sqrt{26 } \\\\ BC=\sqrt{2^2+1^2} =\sqrt{5} \ \ ; \ GH=\sqrt{2^2+1^2} =\sqrt{5} \\\\ AC=\sqrt{3^2+2^2} =\sqrt{13} \ \ ; \ \ HF =\sqrt{3^2+2^2} =\sqrt{13}[/tex]

SSS (side-side-side) All three corresponding sides are congruent. =>

ΔABC≅ΔFGH

Answer:

18 , 24, 30

Step-by-step explanation:

6x + (6x+6) + (6x+6+6) = 4*6x

18x + 18 = 24x

6x = 18

x = 3

3 multiples of 6: 18 , 24, 30

check: 18+24+30=72

           4*18 = 72

Answer:

14. -1

15. -101/53

16. -3/2

Step-by-step explanation:

Answer:

Area of the circle is 6.25π sq.unit

Step-by-step explanation:

The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴

Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]

The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.

If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are

PQ = √(c- a)² + (d-b)²

We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).

Now, using Distance Formula

d= √{(x2 - x1)² + (y2 - y1)²}

Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5

d = √{(5 - 2)² + (5 - 1)²}

d = √{(3)² + (4)²}

d = √{9 + 16}

d = √25

d = 5 unit

Now, Area of Circle

= πr²

= 3.14 x 2.5 x 2.5

= 6.25π sq units

Learn more about Distance Formula here:

https://brainly.com/question/25841655

#SPJ7

Answer:

Step-by-step explanation:

As, if we put the value (2,3) in the equation then,

2x + 10y = 20

=> 2(2) + 10(3) = 20

=> 4 + 30 = 20

=> 34 ≠ 20

Hence,

2x+10y=20 does not pass through (2,3)

Answer:

17/51 simplified in lowest terms is 1/3

Step-by-step explanation:

Answer:

Exact from: 1/3

Decimal form: 0.3

So I Reduce the expression, if possible, by cancelling the common factors and simplify 17/51

Answer:

1.6

Step-by-step explanation:

sorry if i'm wrong mate

Step-by-step explanation:

ano taong diyan po pic mo

Answer:

A. The relation is not a function.

Step-by-step explanation:

Since 2 --> -3, and 2 --> 3, the relation is not a function.

Answer:

7

Step-by-step explanation:

f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.

Answer:

45

Step-by-step explanation:

First add the angles given: 85+50=135

Since all the angles of a triangle combined have to equal 180, you can subtract it from 180.

180-135=45

So your answer would be 45.

Hope this helps :)

Answer:

8

Step-by-step explanation:

1. 1/4 × 2/2 = 2/8 (denominator is 8)

2. 5/8 × 1 = 5/8 (denominator is 8)

Therefore, the common denominator is 8.

Expand 359 as a sum of the largest powers of 2 that you can:

359 = 256 + 103

359 = 256 + 64 + 39

359 = 256 + 64 + 32 + 7

359 = 256 + 64 + 32 + 4 + 3

359 = 256 + 64 + 32 + 4 + 2 + 1

359 = 2⁸ + 2⁶ + 2⁵ + 2² + 2¹ + 2⁰

359 = 1 0110 0111₂

Answer:

3.4×10⁴

Step-by-step explanation:

1.6×10⁴=1.6×10000=16000

5×10⁴=5×10000=50000

5000-16000=34000

=3.4×10⁴

Answer:

No! Both are wrong!

Step-by-step Explanation:

the value of absolute function, (|.|) is always positive

that means -6x always has to be positive

and for -6x to be positive x has to be negative

(since, two negatives make a positive)

therefore, the value of x to the equation will be a negative value and not a positive one.

Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.

ONLY negative value of x will be the solution.

[tex]a) \: x \times x \times x = x {}^{3} \\ b) \: y \times y \times y \times y \times y = y {}^{5} [/tex]

Answer:

a) x³

b) [tex]y^{5}[/tex]

Answer: 13

Step-by-step explanation:

Step-by-step explanation:

the slope is the y/x ratio of the y and x coordinate differences when going from one point to the other. and it is always the factor of x in the equation.

x changes by 4 units (from 0 to 4), y changes by -1 unit (from 3 to 2).

so, the slope is -1/4.

the intercept means the intercept with the y-axis. and that means the y value when x = 0. which is given already by the first point : 3

so, the equation is

y = -1/4 x + 3