Karli and her friend can paint 6/7 of a picture in 3/14 of an hour. How many pictures can they paint in a full hour?

Answers

Answer 1
Answer:

The number of pictures which Karli and her friend can paint in a full hour is equal to 4 pictures.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

It is given that Karli and her friend can paint 6/7 of a picture in 3/14 of an hour.

Let's assume they can paint x number of pictures in a full hour.

So , the fraction by dividing 6/7 by 3/14 can be written equal to x .

i.e.,

(6/7)/(3/14) = x

We need to do the cross product here :

(3)/(14) × x = (6)/(7)

or

x = ((6)/(7)) ÷ ((3)/(14))

We know that when dividing two fractions we need to change the division sign to multiplication sign by inverse the fraction value right to the division sign i.e.,

x = ((6)/(7)) × ((14)/(3))

x = 84 / 21

x = 4

Therefore , the number of pictures which Karli and her friend can paint in a full hour is equal to 4 pictures.

Learn more about algebra here :

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Answer 2
Answer:

Answer:

4 pictures

Step-by-step explanation:

(6/7)/(3/14)=x/1

cross product

3/14*x=6/7*1

3/14x=6/7

x=(6/7)/(3/14)

x=(6/7)(14/3)

x=(6/1)(2/3)

x=12/3

x=4


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The diagram below shows the graph of the quadratic function f (x) = ax² + 8x + c. calculate the value for each of the following. (a)c,
(b)m,
(c)a,
(d)n.​

Answers

Answer:

see explanation

Step-by-step explanation:

The y- intercept is at (0, 6) ⇒ c = 6

The x- coordinate of the vertex is at the midpoint of the zeros, that is

m = (-3-1)/(2) = (-4)/(2) = - 2

Since the zeros are x = - 3 and x = - 1 then the factors are (x + 3), (x + 1) and

f(x) = a(x + 3)(x + 1) = a(x² + 4x + 3)

Comparing with f(x) = ax² + 8x + 6 ⇒ a = 2

Thus

f(x) = 2x² + 8x + 6

Substitute m = - 2 into the equation for value of n

n = 2(- 2)² + 8(- 2) + 6 = 8 - 16 + 6 = - 2

Hence

c = 6, m = - 2, a = 2, n = - 2

Answer:

c = 6, m = - 2, a = 2, n = - 2

Step-by-step explanation:

i m not sure but hope it is right

Robin purchased 3 1⁄2 ounces of whole wheat cereal for $1.40. What is the cost per ounce?

Answers

the answer would be 0.4
3 1/2 = 7/2 = 3.5

$1.4 / 3.5 = $ 0.4

I would cost 40 cents per ouce of cereal

Just rationalize and simplify

Answers

\mathsf{Given :\;\;(√(a + 1) - 2)/(√(a + 1) + 2)}

\mathsf{Multiplying\;Numerator\;and\;Denominator\;with\;√(a + 1) - 2,\;We\;get :}

\mathsf{\implies ((√(a + 1) - 2)(√(a + 1) - 2))/((√(a + 1) + 2)(√(a + 1) - 2))}}

\mathsf{\implies ((√(a + 1) - 2)^2)/((√(a + 1))^2 - (2)^2)}}

\mathsf{\implies ((√(a + 1))^2 + (2)^2 - 2(√(a + 1))(2))/(a + 1 - 4)}}

\mathsf{\implies (a + 1 + 4 - 4√(a + 1))/(a + 1 - 4)}}

\mathsf{\implies (a + 5 - 4√(a + 1))/(a - 3)}}

Answer:

(a+5)-4√(a+1) /(a-3)

Step-by-step explanation:

√(a+1) - 2 / √(a+1) + 2

={√(a+1) - 2 }{√{(a+1) - 2 }  / {√(a+1) + 2} {√(a+1) - 2 }

={√(a+1) - 2 }² / {√(a+1)}² - 2²

=[ {√(a+1)}² -4√(a+1) +4 ] / a+1-4

=[a+1-4√(a+1)+4] / (a-3)

=(a+5)-4√(a+1) /(a-3)

Simplify (x2 + 3x)(x2 - x +4)

Answers

Answer:

x⁴ +2x³ + x² + 12x

Step-by-step explanation:

(x² + 3x)(x² - x +4)

=  x²(x²) - x(x²) + 4(x²)  + x²(3x) - x(3x) + 4(3x)

= x^4 - x³ + 4x² + 3x³-3x²+12x

= x⁴ +2x³ + x² + 12x

How do you get 25% of what number is 21

Answers

So the question is 25% of what number is 21. Lets turn that into an equation: let x be the number we are looking for. We need to take 25% from it and we know that that is equal to 21. Mathematically: 25% * x= 21. Or: (25/100) * x = 21. When we multiply both sides with 100 and divide both sides by 25 we get: x=21*(100/25). And we get that x=84.

Is 8yd greater or less than 288in

Answers

12 inches make 1 foot

3 feet make 1 yard.

1 yard = 3 feet = 3*12 = 36 inches.

1 yard = 36 inches.

8 yards = 8*36 = 288 inches.

8 yards is not greater or not less than 288 inches.

8 yards is equal to 288 inches.