A designer lamp costs £475
It is reduced by 30% in a sale
How much does the lamp now cost?

Answer:

y=35x+60

slope-35 y intercept-60

proportional relationship

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 35x + 60

Slobe 35

y-intercept 60

The y-intercept is the start cost and the slope is how much it will go up per hour.

It is proportional because it is going up by 35 every hour

Answer:

1.429

Step-by-step explanation:

1.429

.............

Answer:

B

Step-by-step explanation:

don't take my word for it

Answer:

2nd one

Step-by-step explanation:

y=2x-1 meaning start off at -1 rise 2 run 1. not sure if that makes sense but yea the answer is the second one.

The shape that can be rotated to create a sphere is the circle (option C).

A sphere is a three-dimensional object with all points equidistant from its center. When a circle is rotated about its center axis, it creates a three-dimensional shape that perfectly matches the definition of a sphere.

Let's consider the other options and why they cannot be rotated to form a sphere:

A. Triangle: A triangle is a two-dimensional shape with straight sides. Rotating a triangle around any axis would not result in a three-dimensional shape with all points equidistant from its center, which is the defining characteristic of a sphere.

B. Square: Similarly, a square is a two-dimensional shape with straight sides. Rotating a square around any axis would not create a sphere, as it would still retain its flat, planar nature.

D. Ellipse: An ellipse is a two-dimensional shape resembling a squashed or stretched circle. Rotating an ellipse would not result in a sphere, as it would still retain its elliptical shape.

Therefore, the shape that can be rotated to create a sphere is the circle (option C) due to its symmetrical and curved nature.

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Answer:

$327.00 (total interest)

Step-by-step explanation:

This is simple interest

Converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

A = 300[1 + (0.03 × 3)] = 327

A = $327.00

Answer: 27.82

Step-by-step explanation: Based on Principal Amount of $300, at an interest rate of 3%, over 3 year(s):

Answer:

145$ is the markup price i think

Step-by-step explanation:

100$+ 45%=x

100/100%=1

45%*1=45

100$+45$= 145$

Answer:

2/3x-y=-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subtract equation 2 from equation 1

.7x+y-(-1.5x+y)=340-320

.7x+y+1.5x-y=20

2.2x=20

x=100/11, then use this in either original equation to find y.

.7(100/11)+y=340

y=3670/11, so the balance point is

(100/11, 3670/11)

Answer:

-1 4/5

Step-by-step explanation:

Answer:

x=5 cm,y=12 cm

Step-by-step explanation:

We are given that

RQ=3 m

PQ=4 cm

RP=x cm

RS=13 cm

SP=y cm

We know that Pythagoras theorem

[tex](Hypotenuse)^3=(base)^2+(perpendicular\;side)^2[/tex]

In right triangle RQP

Using Pythagoras theorem

[tex]RP^2=RQ^2+PQ^2[/tex]

Substitute the values

[tex]x^2=3^2+4^2[/tex]

[tex]x^2=9+16[/tex]

[tex]x^2=25[/tex]

[tex]x=\sqrt{25}=5[/tex]cm

Now,

In triangle RPS

[tex]RS^2=RP^2+SP^2[/tex]

[tex](13)^2=5^2+y^2[/tex]

[tex]169=25+y^2[/tex]

[tex]169-25=y^2[/tex]

[tex]144=y^2[/tex]

[tex]y=\sqrt{144}=12[/tex] cm

Answer:

y = 1.25x + 6

m = 1.25

b = 6

Step-by-step explanation:

Answer:

The answer is 6x6x6.......…......

Answer:

x=11

Step-by-step explanation:

2x+5-27

step 1 subtract 5 from each side

2x=22

step 2 divide each side by 2

x=11

Answer:

2x=27-5

2x=22

2x/2=22/2

x=11

Answer:

3(3x + 2y) and 9x + 6y

Step-by-step explanation:

3(x + 3y + 2x - y)

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

= 3 (3x + 2y)

= (3 • 3x) + ( 3 • 2y)

= 9x + 6y

Answer:

Step-by-step explanation:

2x+4y=82  

x=41

y=20.5

hope this helps!

GYMNASTICSLOVE

PRONOUNS (SHE/THEY)

Answer:

AAA (or AA)

Step-by-step explanation:

Prove ΔBEC ~ ΔDEA

(using three angles is unnecessary because you can just use Angle Angle to prove similarity)

First, m∠BCE = m∠EAD because of alternate interior angles.

Then, m∠ADE = m∠CBE  because of alternate interior angles.

m∠BEC = m∠AED because of vertical angles

Thus, ΔBEC ~ ΔDEA because of Angle Angle Angle [AAA] (or AA if you only chose to use 2 angles)

Answer:

D.

Step-by-step explanation:

If the triangle has one angle that is equal to 90 then it is a right triangle.

Answer: B

Step-by-step explanation: The two sides that get added together arent gonna be bigger than the third side

Answer:

b is correct

9^2 + 40^2 = 41^2

Step-by-step explanation:

Let's solve your inequality step-by-step.

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

w=0 or w=9

Check possible critical points.

w=0(Doesn't work in original equation)

w=9(Works in original equation)Answer:

w<0 or w>9

Answer:

3x3= 9

9-3=6

3+3=6

Step-by-step explanation:

Answer:

1,330.5 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

Where,

r = ½ of 11 = 5.5

h = 14 cm

Plug in the values

Volume = π × 5.5² × 14

Volume = π × 423.5

Volume = 1,330.5 cm³ (1 d.p)

Answer:

60 divided by -12 = -5

Hope this helps  

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

The system of equations are solved and the cost of adult ticket and child tickets are $ 6 and $ 4 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the adult tickets be a

Let the child tickets be c

Group A buys 3 adult tickets and 2 child tickets and pays a total of $26

So , 3a + 2c = 26   be equation (1)

And , Group B buys 5 adult tickets and 3 child tickets and pays $42

So , 5a + 3c = 42   be equation (2)

On simplifying , we get

Multiply equation (1) by 5 and equation (2) by 3 , we get

15a + 10c = 130   be equation (3)

15a + 9c = 126   be equation (4)

Subtracting equation (4) from equation (3) , we get

c = $ 4

Therefore , the cost of child ticket is $ 4

Substituting the value of c in equation (1) , we get

3a + 2 ( 4 ) = 26

3a + 8 = 26

Subtracting 8 on both sides , we get

3a = 18

Divide by 3 on both sides , we get

a = $ 6

Therefore , the cost of adult ticket is $ 6

Hence , the system of equations are solved

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Answer:

=> 125,650 x 6% = $7,539

Step-by-step explanation: