Natasha, Peter and Malachy share £56 in a ratio 1:1:2. How much money does each person get?
Natasha:
£

Peter:
£

Malachy:
£

Answer:

She will pay $30.8448.

Step-by-step explanation:

Consider the provided information.

The price of the sweater is $90.

She gets a discount of 30% it means she needs to pay only (100-30)%=70% of $90.

70% of $90 = [tex]0.7\times 90 = 63[/tex]

Now she gets a discount of 20% it means she needs to only 80% of $63.

[tex]0.8\times 63=50.4[/tex]

If she gets a discount of 10% on $50.4 it means she needs to pay 90% of 50.4

[tex]0.9\times 50.4=45.36[/tex]

If she gets a discount of 15% on 45.36 it means she needs to pay only 85% of 45.36

[tex]0.85\times 45.36 =38.556[/tex]

Now she gets an additional 20% holiday Bones Buck discount it means she needs to pay 80% of 38.556

[tex]0.8\times 38.556=30.8448[/tex]

Hence, she will pay $30.8448.

Answer:

x^2 + 4x + 3 with a remainder of 5

Answer:

[tex]\mathrm{1.\:D.\:8.4\%}\\\mathrm{2.\:C.\: \$96.60}\\\mathrm{3.\:D.\: \$227.85}\\\mathrm{4.\:B.\:\$490}[/tex]

Step-by-step explanation:

1. The car's initial price was $273. Since the sale price is $250, the car is on a [tex]273-250=\$23[/tex] discount. The percent of discount is the discount price over the initial price:

[tex]\frac{23}{273}\approx \fbox{$8.4\%$}[/tex].

2. Since the weight racks were initially priced $46, then marked up 210%, their mark-up is:

[tex]46\cdot2.1=\fbox{$\$96.60$}[/tex]

*Worth noting that this is the mark-up (as the question is asking), not the total price after the mark-up.

3. The TV's initial price is $325.50. If it's on sale for 30%, it's final price will be [tex]100\%-30\%=70\%[/tex] of the initial price:

[tex]\$325.50\cdot 0.7=\fbox{$\$227.85$}[/tex]

4. The final retail price will be the initial price + the mark-up:

[tex]280+280(0.75)=\fbox{$\$490$}[/tex].

Answer:

The answer is A

Step-by-step example:

I just took the test and got it right hope this helps you!!!

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

Given:

The expression is

[tex]-5x+4-x-1[/tex]

To find:

The terms, like terms, coefficients and constants.

Solution:

We have,

[tex]-5x+4-x-1[/tex]

It can be written as

[tex]=(-5x)+4+(-x)+(-1)[/tex]

So, terms are [tex]-5x,4,-x,-1[/tex].

It two terms have same variable of same degree, then they are called like terms.

[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.

In the product of a number and a variable, the number is called coefficient.

Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.

Constant terms are free from variable. So, constant terms are 4 and -1.

Terms: [tex]-5x,4,-x,-1[/tex];

Like terms: [tex]-5x, -x;4, -1[/tex];

Coefficients: -5, -1;

Constants: 4, -1

Therefore, the correct option is c.

Answer:

Upper one: Not necessarily Congruent

Below one: AAS Congruence Property

Answer:

f(x) = 3x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)

m = [tex]\frac{3-0}{1-0}[/tex] = 3 , then

y = 3x ← is the equation of the graphed line

Answer:

The volume of the shark tank is [tex]2160 m^3[/tex]

Step-by-step explanation:

The tank is in the shape of a rectangular prism.

The length of the tank, [tex]l=18[/tex] m.

The width of the tank, [tex]w=15[/tex] m.

The height of the tank, [tex]h=8[/tex] m.

We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].

So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]

Hence, the volume of the shark tank is  [tex]2160 m^3[/tex].

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

20% because if there's six different chocolates she likes and if she picks random thers a possibility of it

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

Answer:

The answer is below

Step-by-step explanation:

a)  x represents the number of years since 2004 this means that x = 0 represent the year 2004, y represent the number of catalogs. From the table the numbers of catalogs in 2004 are y-intercepts and the slope is the growth rates. Hence the equations are:

y = 1293x + 7440           (1)

y = -1364x + 3805         (2)

b)

y = 1293x + 7440           (1)

y = -1364x + 3805         (2)

Subtract equation 2 from equation 1 to get:

0 = 2657x + 3635

2657x = -3635

Divide through by 2657

x = -1.368

Put x = -1.368 in equation 1:

y = 1293(-1.368) + 7440

y = 5671.1

This means that about 1.4 years before 2004, the number of catalogs where 5671

Answer:

A 6 digit number can be written as:

abcdef

Where each letter represents a single digit.

We know that this number is smaller than 600,000, and we also know that:

a + b + c + d + e + f = 38

Now, we have a lot of variables, so we can play a little.

I will suppose that:

f = 6

e = 7

d = 3

c  = 9

then we have:

a + b + 9 + 3 + 7 + 6 = 38

a´+ b + 25 = 38

a + b = 38 - 25 = 13

now let's suppose that b = 8

a + 8 = 13

a = 13 - 8 = 5

Then our number is:

589,376

This number is smaller than 600,000, and if we add the sum of the digits is 38.

Now we want to find 11 other numbers like this.

We can simply change the places of some of the digits, like:

598,376  (also meets the condition)

Where i just changed the positions of the 9 and the 8.

589,367  (also meets te condition)

Where i just changed the position of the 6 and 7.

Now just keep doing that, only take care that the number can not be larger than 600,000, so i will leave the first 5 fixed in that position.

589,673 (also meets the condition)

598,736 (also meets the conditions)

536,798  (also meets the conditions)

536,897  (also meets the conditions)

536,978  (also meets the conditions)

563,798  (also meets the conditions)

563,987  (also meets the conditions)

563,879  (also meets the conditions)

573,689  (also meets the conditions)

573,869  (also meets the conditions)

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.

Answer:

C x=4/5

Step-by-step explanation:

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP

Answer:

E

Step-by-step explanation:

E is the correct answer

Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

Answer:

96

Plzzzzz give me Brainliest!!!!!  

Answer:

A=b×h

Hence: 12 × 8= 96 square units

Answer:

The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Step-by-step explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is [tex]-8x^2 + 54x + 140[/tex].

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

=[tex]-8(0)^2 + 54(0) + 140[/tex]

=[tex]140[/tex]

The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.

Answer: 7) isosceles 8) scalene 9) congruent 10) scalene 11) isosceles 12) congruent

Step-by-step explanation: Scalenes have two matching sides, congruent has all matching sides, and scalene has no matching sides :)

Answer:

$1.80

Step-by-step explanation:

i had this question

Answer:

7.25 and 7.20

Step-by-step explanation:

I calculated and got it correct

Answer:

a) $14.45 b) 1.45x+1.2y

Step-by-step explanation:

5*1.45+6*1.2=14.45