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3 years ago

A type of green paint is made by mixing 2 cups of yellow with 35 cups of blue.

Mathematics

1 answer:

adell [148]3 years ago

8 0

Answer:

1. 1 cup of yellow 17.5 cups of blue 2. 4 cups of yellow 70 cups of blue

3. 2 cups of yellow 40 cups of blue 4. 2 cups of yellow 30 cups of blue

Step-by-step explanation:

1. to get same shade keep ratios the same but divide by 2 for smaller amount

2/2 = 1 and 35 /2 = 17.5

2. similar to 1. except multiply by 2

3. use same yellow amount but more blue

4. use same yellow but less blue

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A mail distribution center processes as many as 150,000 peices of mail each day. The mail is sent via ground and air. Each land

umka21 [38]

X = air carriers, y = land carriers

1800x + 1500y < = 150,000
x + y < = 150

6 0

3 years ago

1. The diagonal of a quadrilateral

zalisa [80]

Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.

Given:

Length of the diagonal of a quadrilateral = 8.5 cm

Lengths of the perpendiculars dropped on it from the remaining opposite vertices are 3.5 cm and 4.5 cm.

To find:

The area of the quadrilateral.

Solution:

Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths of the perpendiculars dropped on it from the remaining opposite vertices are heights of those triangles.

According to the question,

Triangle 1 : Base = 8.5 cm and Height = 3.5 cm

Triangle 2 : Base = 8.5 cm and Height = 4.5 cm

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

Using this formula, we get

$Area(\Delta 1)=\dfrac{1}{2}\times 8.5\times 3.5$

$Area(\Delta 1)=14.875$

and

$Area(\Delta 2)=\dfrac{1}{2}\times 8.5\times 4.5$

$Area(\Delta 2)=19.125$

Now, area of the quadrilateral is

$Area=Area(\Delta 1)+Area(\Delta 2)$

$Area=14.875+19.125$

$Area=34$

Therefore, the area of the quadrilateral is 34 cm².

6 0

3 years ago

a car left town A at 10:00 am and travelled towards town B at the average speed of 70 km/h. At the same time a truck left town B

Softa [21]

The important formula to this problem is $distance=rate(time)$ or $d=rt$

Now, the speed of the car is 70 km/h, and the speed of the truck is 50 km/h. It will take the two vehicles the same amount of time to meet since they both left at the same time. So, since distance equals rate times time, and t = time:

the distance of the car = 70t
the distance of the truck = 50t

Because they both left in opposite directions, and the towns are 420 kilometers apart, the equation for this would be

$70t+50t=420$

We now solve the equation.

$70t+50t=420 \\ 120t=420 \\ \frac{120t}{120}= \frac{420}{120} \\ t=3 \frac{1}{2}$

It will take the vehicles 3 and a half hours to meet. Since we're looking for the time, 3 and a half hours from 10:00 AM is 1:30 PM.

So, the car and the truck will pass each other at 1:30 PM.

8 0

4 years ago

Which is the equivalent of 6° 14'48" written in decimal form?

andreyandreev [35.5K]

Answer:

6.24 ¯ 6 °

Step-by-step explanation:

Convert to degrees, minutes, and seconds by leaving the number to the left of the decimal the same and manipulating the decimal.

6.24 ¯ 6 °

Glad I could help!!

3 0

3 years ago

Two candidates are randomly selected. a. List all the possible outcomes. b. What is the probability that both are qualified? c.

steposvetlana [31]

Question:

Four candidates are to be interviewed for a job. Two of them, numbered 1 and 2, are qualified, and the other two, numbered 3 and 4, are not.

Answer:

a. S = {12,13,14,23,24,34}

b. 1/6

c. ⅔

Step-by-step explanation:

Let S = Sample Space i.e. total possible outcomes

Given that candidates 1 and 2 are qualified and 3 and 4 are not qualified.

If two candidates are randomly selected. The list of all possible outcomes is as follows

S:{12,13,14,23,24,34}

And the number of outcomes is 6

b. What is the probability that both are qualified?

The event that both are qualified is given as {12} or {21}

From the sample space in (a) above, there's only one occurrence of {12} = 1

So, the probability is calculated as 1/6

c. What is the probability that exactly one is qualified?

The event that one one is qualified is given as {13,14,23,24}

Total = 4

Probability = 4/6

Probability = ⅔

5 0

3 years ago