A scale drawing of a mural painting uses the
scale 2in: 6ft. The length of the mural painting
in the drawing is 5in. How long is the mural
painting? There's no rounding necessary.

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) Ali, Carrie and Bryan received a sum of money.

[tex]a[/tex] - Ali's money.

[tex]b[/tex] - Bryan's money.

[tex]c[/tex] - Carrie's money.

(ii) Bryan's money was [tex]\frac{3}{5}[/tex] of  Ali's money.

[tex]b = \frac{3}{5}\cdot a[/tex] (1)

(iii) The ratio of Ali's money to Carrie's money was 4 : 1.

[tex]\frac{a}{c} = 4[/tex] (2)

(iv) Ali had $ 160 more than Bryan.

[tex]a = b + 160[/tex] (3)

After some algebraic handling, we have the following system of linear equations:

[tex]3\cdot a - 5 \cdot b = 0[/tex] (1b)

[tex]a - 4\cdot c = 0[/tex] (2b)

[tex]a - b = 160[/tex] (3b)

The solution of the system is: [tex]a = 400[/tex], [tex]b = 240[/tex], [tex]c = 100[/tex]

The sum of money is:

[tex]s = a + b + c[/tex]

[tex]s = 740[/tex]

The sum of money received by Ali, Carrie and Bryan is $ 740.

Answer:

Two times the sum of a number and nine.

Step-by-step explanation:

Answer:

two times the sum of n plus nine.

Step-by-step explanation:

Answer:

what am i supposed to help with??

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Simple maths.

Here,

61 = r/3 - 7

hence, r/3 = 61+7

===> r/3 = 68

==> r = 68*3

====> r = 204

Option c.) is correct.

Answer:

I think it is 8 (not %100 sure)

Step-by-step explanation:

what I did was I divided 40 by 5 which gave me 8

I hope this helps;) sorry if it dosen't

Answer:

The Answer Is 10

Step-by-step explanation:

The Total Strength = 40 Students

The Ratio Of Boys To Girls = 3:5

So, 3 + 5 = 8

Then, Divide 8/40 So That U Get The Number Then Multiply It With The Ratio.

•8/40 = 5

•5 × 3 = Boys Strength Which Is = 15

•5 × 5 = Girls Strength Which Is = 25

So, There Are 10 Girls More Than Boys.

Hope It Helps U.

Please Mark As Brainliest.

Answer:

The formula for simple interest is A= P(1+rt).

Step-by-step explanation:

I legit looked it up. I didn't even know this existed before this so I am unable to give an example. Sorry... Q^Q

Answer:

Large Jar : £1.54÷440g= 0.0035

Small Jar : £1.26÷340= 0.0037058

0.0035<0.0037058

Large Jar is the best value.

Answer: -8x

Step-by-step explanation:

Answer: x(-8)

Step-by-step explanation:

product= multiplication

a number could be any variable you want

negative 8 is -8

so the product of a number x(   ) and negative 8 is x(-8)

Answer:

76,800

Step-by-step explanation:

This is because 808 is closer to 800

Answer: (0,−10),(1,−7),(2,−4)

Answer:

1) 11x^3 - 6x - 3

2) 3x^3 + 4x^2 - 2x - 1

3) 9x^2 - 4

4) -4x^4 + 2x^3 - x^2

5) x^3 - 38x - 12

Step-by-step explanation:

1) (3x^4 + 5x^3 - 7x + 2) - (3x^4 - 6x^3 - x + 5)

Step 1: 3x^4 + 5x^3 - 7x + 2 - 3x^4 + 6x^3 + x - 5 (multiply the terms in the parenthesis by the constants, which are 1 and -1)

Step 2: 3x^4 - 3x^4 + 5x^3 + 6x^3 - 7x + x + 2 - 5 (reorganize the polynomial by exponential values (ex: x^4 before x^3 before x^1))

Step 3: 11x^3 - 6x - 3 (add like terms)

2) (3x^3 + 8x - 3) + (4x^2 - 10x + 2)

Step 1: 3x^3 + 8x - 3 + 4x^2 - 10x + 2 (multiply the terms in the parenthesis by the constants)

Step 2: 3x^3 + 4x^2 + 8x - 10x - 3 + 2 (reorganize the polynomial)

Step 3: 3x^3 + 4x^2 - 2x - 1 (add like terms)

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

Step 1: 9x^2 - 6x + 6x - 4 (Use FOIL to multiply binomials, or multiply the first terms, outside terms, inside terms, then last terms)

Step 2: 9x^2 - 4 (add like terms)

4) -x^2(4x^2 - 2x + 1)

Step 1: (-x^2*4x^2) + (-x^2*(-2x)) + (-x^2*1) (multiply -x^2 by each term)

Step 2: -4x^4 + 2x^3 - x^2 (simplify; remember x^2 is the same as -1*x^2)

5) (x + 6)(x^2 - 6x - 2)

Step 1: ((x*x^2) + (x*(-6x)) + (x*(-2))) + ((6*x^2) + (6*(-6x)) + (6*(-2))) (multiply the first term in the binomial by each term in the trinomial, and do the same with the second term)

Step 2: x^3 - 6x^2 + 6x^2 - 2x - 36x - 12 (simplify and reorganize)

Step 3: x^3 - 38x - 12 (add like terms again)

Answer:

Brainly me please

Step-by-step explanation:

Choice 3, a = 1, b = 4, c = 5

Answer: The unit rate is 16 miles per gallon

Step-by-step explanation:

464 miles for 29 gallons

? miles for 1 gallon

29x = 464

Divide both sides by 29

x = 16

Answer:

126 minutes, or 2.1 hours.

Step-by-step explanation:

Change 6 hours to minutes. (6x60=360)

Find 1% of 360 (360x0.01=3.6)

Multiply 3.6 to 20 (cleaning) and then multiply 3.6 to 15 (video games)

Then, add them, which you should get the answer of 126.

Answer:

I would say -19, not 100% sure tho!

Answer: this is a lot alright , 8n +4p

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

opposite of -2 is 2 because it is like 2 is opposite of -2

Answer:

2.

Step-by-step explanation:

The opposite of a number is the number which when added to it gives a result of zero.

-2 + 2 = 0 so the required  number is  2.

Answer:

A = 16π cm²

Step-by-step explanation:

We require to find the radius r

Given circumference C = 8π , then

2πr = 8π ( divide both sides by 2π )

r = 4 , then

A = πr² = π × 4² = 16π cm²

Answer:

A = 16π cm²

Step-by-step explanation:

took the test

Answer:

23.75

its 23.75 you need fo divide it..stn loona

Answer:

9.5 milimeters

Step-by-step explanation:

100/500 = x/47.5

x = 9.5

(or just divide 47.5 by 5 because the scale factor was given)

Answer: The 3rd option

Step-by-step explanation: f(x) aka 5 is = to x aka 2+3 (2+3=5)

Plz make brainliest

Answer:

No

Step-by-step explanation:

Answer:

tshirt £10

hat £3

Step-by-step explanation:

there you go the answer

Answer:

Z 26 y25 ✖️ 24 good gonna ng thank you