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2 years ago

There are 10 circles and 6 squares. What is the simplest ratio of squares to total shapes?

Mathematics

1 answer:

DENIUS [597]2 years ago

4 0

Answer:

The simplest ratio would be 5:3

Step-by-step explanation:

Both 10 and 6 can be divided by 2.

They turn into 5 and 3.

Since you can't make 5 and 3 any smaller, this will be the answer.

5:3

Hope this helped! :D

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What is the solution to this equation? 4x+10+3x=40-3x

eduard

Answer:

x = 3

Step-by-step explanation:

Step 1: combine like terms

On the left side, you can combine 4x and 3x to get 7x and the right side is already simplified

Now we have 7x+10=40-3x

Step 2: subtract 10 from both sides

10-10 = 0 and 40-10 = 30

Now we have 7x = 30-3x

Step 3: Add 3x to both sides

7x +3x = 10x and 30-3x+3x = 30

Now we have 10x =30

Step 4: divide by 10 on both sides

10x/10 = x and 30/10= 3

Therefore, we have x =3

3 0

3 years ago

If the zeros of a quadratic equation are 7 and 4, what would be the factors?

Snowcat [4.5K]

Answer:

The factors are (x-7) and (x-4)

Step-by-step explanation:

We are finding the factors of a function from the zeros

The zeros are 7 and 4

We can use the zero product property which is

(x-b)(x-c) = 0 where b and c are the zeros

(x-7) (x-4) =0

The factors are (x-7) and (x-4)

4 0

2 years ago

Read 2 more answers

Simplify tanx×sinx+cosx

Rom4ik [11]

Answer:

sin ^2 ( x ) over cos ( x ) + cos ( x )

5 0

3 years ago

Please help. The topic is angles. Anything you know helps

Lorico [155]

Answer:

all of them except straight and reflex

Step-by-step explanation:

when angles are supplementary it means that they add up to 180

an acute angle is supplementary to an obtuse angle

an obtuse angle is supplementary to an acute angle

a right angle is supplementary to a right angle

but a reflex angle is over 180 so it's not supplementary to anything

and a straight angle is already 180 so it has no supplements either

8 0

3 years ago

Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%

ivolga24 [154]

Answer:

a. The system of equations that models the situation is....

$0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40$

b. The solution to the system: x = 2 and y = 4

The amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is $x$ pounds and the amount of 50/50 mixture is $y$ pounds.

So, the amount of peanuts in 80/20 mixture $= 0.80x$ pound and the amount of almonds in 80/20 mixture $=0.20x$ pound.

And the amount of peanuts in 50/50 mixture $=0.50y$ pound and the amount of almonds in 50/50 mixture $=0.50y$ pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture $=(6\times 0.60)=3.60$ pounds

and the amount of almonds in that mixture $=(6 \times 0.40)= 2.40$ pounds.

So, the system of equations will be.........

$0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)$

Subtracting equation (2) from equation (1), we will get.....

$(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2$

Now, plugging this $x=2$ into equation (1), we will get......

$0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4$

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0

3 years ago