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2 years ago

HW1

Mathematics

1 answer:

katrin2010 [14]2 years ago

5 0

Answer:

He is incorrect. The true greatest common factor is 8.

Step-by-step explanation

Although 4 is a factor of both numbers, 32 and 8 can both be factorized (multiplied) by 8 to have the given numbers as an outcome.

Ex. 4 * 8 = 32 ; 8 * 1 = 8

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In Psychology 101, the ratio of the number of girls to the number of boys is 3:1. After one girl drops the class and three more

aleksley [76]

Alright, lets get started.

Suppose the initial number of girls = x

Suppose the initial number of boys = y

The ratio of the number of girls to the number of boys is 3:1 (given in question)

x/y = 3/1

Cross multiply

x = 3 y ...............................equation (1)

one girl drops the class and three more boys sign up means new number of gilrs = x - 1

New number of boys = y + 3

the ratio of the number of girls to the number of boys becomes 5:2

(x-1) / (y+3) = 5/2

Cross multiplying

2 (x-1) = 5 (y+3)

2 x - 2 = 5 y + 15

Adding 2 in both sides

2 x - 2 + 2 = 5 y + 15 + 2

2 x = 5 y + 17 ..........................equation (2)

Putting value of x from equation 1 in equation 2

2 (3 y) = 5 y + 17

6 y = 5 y + 17

Subtracting 5 y in both sides

6 y - 5 y = 5 y + 17 - 5 y

y = 17

Putting the value of y in equation 1

x = 3 * 17 = 51

x = 51

After the changes, 1 girl drops : 51 - 1 = 50 new numbers of girls

After the changes, 3 more boys sign up : 17 + 3 = 20 new number of boys

So, total students in the class after changes : 50 + 20 = 70 students : Answer

Hope it will help :)

6 0

3 years ago

A car dealership uses the linear model y = -1100x + 25000 to

Amiraneli [1.4K]

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

−

1000

-1000

y-intercept:

(

25000

)

(0,25000)

25000

xy025000250

Step-by-step explanation:

(づ￣ ³￣)づ

8 0

3 years ago

The length of the side of square A is 50% of the length of the square side expressing the area of the shaded area of square

KonstantinChe [14]

Answer:

Let's call the side of square b x. Therefore, the side of square a is 0.5x, making its area 0.25x² and the area of square b is x². This means that the percentage is 25%.

8 0

3 years ago

Help me with this please

Reika [66]

Answer:

$2,459.21

Step-by-step explanation:

(see attached for reference)

recall that the formula for compound interest is:

A = P [ 1 + (r/n)^ (nt) ]

where,

A = Final amount ( we are asked to find this)

P = principal amount = given as $2,340

r = Annual Interest Rate = given as 5% = 0.05

n = number of times compounded in a year = 4 (compounded quarterly)

t= time = 1 year

Substituting the values into the equation,

A = P [ 1 + (r/n)^ (nt) ]

A = 2,340 [ 1 + (0.05/4)^ (4·1) ]

A = $2,459.21

6 0

3 years ago

Y=-x-3

nadya68 [22]

Answer: Heyaa! :)

1. y=-x-3 = -1

Slope: −1

y-intercept: (0,−3)

2. y=4x-5 = 4

Slope: 4

y-intercept: (0,−5)

3. 2x-y=-2 = 2

Slope: 2

y-intercept: (0,2)

4. x+y=4 = 1

Slope: −1

y-intercept: (0,4)

5. 3x+4y=-12 = - 3/4

Slope: −3/4

y-intercept:

(0,−3)

Hopefully this helps you!

- Matthew

4 0

2 years ago