What is the answer to (-6)-2-(-7) and solve it please

the ratio of red marbles to yellow marbles placed in a bag is 2:7. More marbles are added to the bag: 3 red and 3 yellow marbles

Anvisha [2.4K]

Answer: False.

Step-by-step explanation:

Initially, the ratio is 2:7

This means that if we have 2 red marbles, we must have 7 yellow ones.

The quotient here is 7/2 = 3.5

Now, if you add 3 marbles of each colour, then we have:

2 + 3 = 5 red marbles

7 + 3 = 10 yellow marbles.

Now the ratio is 5:10

This means that for every 5 red marbles, we have 10 yellow ones.

But now we can divide both numbers by the same positive integer, because they have a common factor equal to 5.

5/5 = 1

10/5 = 2

Then we have:

5:10 = 1:2

So the new ratio is 1:2

Then the ratio changed when we added the new marbles, which means that Maria was wrong.

8 0

2 years ago

When finding the intersection of two lines from both Algebra 1 and geometry you first set the linear equations equal to each oth

NNADVOKAT [17]

I really dont know so sorry

6 0

2 years ago

Read 2 more answers

Pic’n’mix sweets cost 56p per quarter. How much would 9 ounces cost? (There are 4 ounces in a quarter.)

Oksanka [162]

Answer:

126p

Step-by-step explanation:

56 divided by 4 = 14p per ounce

14 x 9 = 126p per 9 oz.

8 0

2 years ago

A taxi driver from a certain company charges $ 150 for stopping and loading passengers and then $ 30 for every kilometer travele

Xelga [282]

Answer:

a) linear function = 150 + 30x represents 1km

and 150 + 60x represents 2km We can therefore remove the ones and even factor 15 and 3 into

3(5+1x)

b) y = 2/3x + 225

Can be factored from 2/3 (30x+75) and simplified to 2/3(3x+15/2)

Step-by-step explanation:

if 150 stop and 30 for each mile

we show zero on each axis and show the y intercept at 150

The X axis should determine time or distance travelled

So if showing distance we show miles in 10,20,30,40,

and costs 0,30,60,90 but if 150 applies to any passengers entering vehicle and all journeys then we start graph at $ cost = 150 and go up by 30 showing 150.180.210.240 for the data for the y axis/

Therefore 20k is 2/3 km and we can show 2/3 as our multiple.

2/3 of 225 is 150 to find we flip 3/2 x 150 = 225

y = 2/3 ( 30x + 225) and we have our equation for b

y = 2/3x + 225

8 0

2 years ago

A ball is projected up into the air from the surface of a platform to the ground below. The height of the ball above the ground,

mezya [45]

Answer:

112 ft
3 - 7 seconds interval

Step-by-step explanation:

Given function:

f(t) = -16t² + 96t + 112

The height of the platform is the y-intercept, when t = 0:

f(0) = - 16*0 + 96*0 + 112 = 112 ft

The ball's height is decreasing once it reaches the maximum, which is at vertex.

The vertex is at x = -b/2a:

t = - 96/ - 32 = 3

The ball hits the ground when f(t) = 0:

- 16t² + 96t + 112 = 0
t² - 6t - 7 = 0
(t - 7)(t + 1) = 0
t = 7 (positive root)

The interval is between 3 seconds and 7 seconds

8 0

1 year ago