Saj makes Rose Pink paint and Cherry Pink paint. He mixes red paint with white paint as shown. Rose Pink red : white =1:2 Cherry Pink red : white =4:3 He makes 60 litres of Rose Pink paint. To this Rose Pink paint he adds 80 litres of red paint and 28 litres of white paint. Has he now made Cherry Pink paint? You must show your working.

Given expressions:

  Area of a rectangle  = L W

  Area of a triangle = \(\frac{1}{2} B H\)

Problem;

Create problems using the formula;

Solution:

Problem 1; Find the area of a rectangle whose length is 10cm and the width is half the size of the length?

    Given parameters:

    Length of rectangle  = 10cm

    Width of rectangle  = \(\frac{1}{2}\) x length  = \(\frac{1}{2}\) x 10  = 5cm

So, the area of the rectangle = 10cm x 5cm  = 50cm²

2. A triangle with a base length of 30cm and a height of 2cm will have an area of what?

    Given parameters:

         base length  = 30cm

         height  = 2cm

 Solution:

   Area of a triangle  = \(\frac{1}{2}\) x b x h

   Area of a triangle  = \(\frac{1}{2}\) x 30 x 2  = 30cm²

The area of the triangle will be 30cm²

Answer:

a: K = 2s

K + s = 42

b: 2s + s = 42

K = 28

s = 14

Step-by-step explanation:

1. Come up with equations based on the information given.

K = Kim

s = sister

Kim is twice of her sister -> K = 2s

When you add Kim's age to her sister's age, you get 42 -> K + s = 42

2. Substitue for K to find out the value of s

K = 2s

2s + s = 42

3. Solve for s

s = 42/3

s= 14

4. Solve for K

K = 2s

K = 2*14

K = 28

Answer:

hey

Step-by-step explanation:

Answer:

20

Step-by-step-explanation

There appears to be 2 lines intersecting eachother, and 150 degrees is on the opposite side to that of the expression. The expression 7x+10 equals a degree, since it is directly opposite to that of the 150 degrees we can use the vertical angles theorem. Although there are no congruent markings for the angles, it is safe to assume that they are congruent to each other with the information given. Vertical angles are angles opposite to each other by 2 intersecting lines. We can write the equation 7x+10=150 for finding x. Now, we solve for x. Inverse operations can be used to subtract 10 by both sides. 150-10=140, 7x=140, to move the x to the other side so that x is alone, we divide by 7 with the inverse operations. Leaving the x alone gives us to what x is, 140/7=20! x=20 Good luck and have a great time

This can be illustrated on a number line as follows:

0 | 1 | 2 | 3 | 4 | 5 | 6 The answer is 6 times.

Time is the indefinite continued progress of existence and events that occur in an apparently irreversible succession from the past through the present to the future. It is a dimension in which events can be ordered from the past through the present into the future, and also the measure of durations of events and the intervals between them. Time is often referred to as a resource, as it is something that must be managed efficiently in order to achieve success.

Harold bought 8 pounds of birdseed in question 3. To calculate how many times he will be able to fill the feeder, we need to figure out how much birdseed is in one pound. One pound of birdseed is equal to 16 ounces. Therefore, 8 pounds of birdseed is equal to 128 ounces.

To figure out how many times Harold will be able to fill his bird feeder, we need to divide the total ounces of birdseed (128 ounces) by the capacity of the bird feeder (20 ounces).

128/20 = 6.4

Since there cannot be fractional amounts of birdseed in the feeder, Harold will be able to fill his bird feeder 6 times. This can be illustrated on a number line as follows:

0 | 1 | 2 | 3 | 4 | 5 | 6

The answer is 6 times.

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The null hypothesis should not be rejected. There is insufficient evidence that the true diameter differs from 0.5 inches.

We are given that,

n = 15

t-value = 1.66

Significance level;α = 0.05

So, DF = n - 1 = 15 - 1 = 14

In the attached one-sample t-table, we can see that the p-value of 0.06

corresponds to a t-value of 1.66 and a DF of 14

Due to the P-value of 0.06, it is greater than the significance level of 0.05. Based on the results, we are not rejecting the null hypothesis. There is insufficient evidence to conclude that the true diameter in active attachment is different from 0.5

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Answer:

\(3n = 57\)

\(n = 19\)

D is the correct answer.

Answer:

y=-15

Step-by-step explanation:

...

The solution of the equation 3( 13 ) + 2y = 9 is y= -15.

Given equation 3(13) + 2y = 9

Step 1: Simplify the expression on the left side of the equation:

3(13) = 39

Step 2: Now, the equation becomes:

39 + 2y = 9

Step 3: To isolate y on one side of the equation,

subtract 39 from both sides:

2y = 9 - 39

2y = -30

Step 4: Finally, solve for y by dividing both sides by 2:

y = -30 / 2

y = -15

So, the value of y is -15.

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Check the picture below.

so for the equation y = 40 + 20x, what's an appropriate domain? or namely, what could be some valid values for "x"?

well, Jessica is going to put in 20 bucks only for 12 weeks, so whatever "x" is going to be, is must be from 0 to 12, or in interval notation [0 , 12].

The equation of the line parallel to x - y = 3 and passes through pint (2,-4) is y = x - 6.

The equation of line is expressed as;

y = mx + b

The point-slope formula is expressed as;

y - y₁ = m( x - x₁ )

Where m is slope and b is the y-intercept.

Given the data in the question;

Point: (2,-4)

First, reorder the given equation in slope-intercept form and determine the slope.

x - y = 3

x = 3 + y

3 + y = x

y = x - 3

Hence,

The slope m = 1

To find the line parallel to the equation, the slope must be equal.

Find the line using point-slope formula.

y - y₁ = m( x - x₁ )

Plug in slope m = 1 and point: (2,-4)

y - ( -4 ) = (1)( x - 2 )

Simplify and convert to slope intercept form.

y + 4 = x - 2

y = x - 2 - 4

y = x - 6

Therefore, the equation of line is y = x - 6.

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The area of the sector created by a central angle of 60° in a circle with a diameter of 6 inches is approximately 4.7124 square inches.

To find the area of a sector of a circle, we need to know the central angle and the radius of the circle. In this case, we are given the central angle of 60° and the diameter of the circle, which we can use to find the radius.

The diameter is given as 6 inches, so the radius is half of that, which is 3 inches.

To calculate the area of the sector, we can use the formula:

Area of Sector = (θ/360°) * π * r²

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius.

Plugging in the values:

Area of Sector = (60°/360°) * π * (3)²

Area of Sector = (1/6) * 3.14159 * 9

Area of Sector ≈ 4.7124 square inches

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Firstly, let's draw a picture of the distribution:

Graphically, we want to calculate the blue area. To put it differently, we want to calculate

To do this, we need to find the z-score associated with 6. We can calculate it by

Now, we must check our favorite z-score table and look for the probability associated with the z-score we just found. It's 0.0018.

The probability that a randomly selected TV will have a warranty of less than 6 years is 0.0018.

Answer:

I want to say A)

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

64 + x = 90 ( whole part axioms )

x = 90 - 64

x = 26

Step by Step Solution:  to equal 4.25000

More Icon

STEP

1

:

17

Simplify ——

1

Equation at the end of step

1

:

17

—— ÷ 4

1

STEP

2

:

17

Simplify ——

1

Equation at the end of step

2

:

17

——

4

STEP

3

:

17

Simplify ——

4

Final result :

17

—— = 4.25000

4

Answer:

1h 22m

Step-by-step explanation:

Because 1/4 of an hour is 15m and 15X5=75 or 1h and 15m

then 1/3 of a lap would just be 33% of 15m which is 6.6m or round that up to 7 so 1h and 15m + 7m= 1h and 22m

hope that helped.

Answer:

                     .                           .                                       .

_________-16____-14____-12____-10____-8____-6____-4____-2____0

Answer:  can we be friends I’m homeless and live at the Krusty Krab

Step-by-step explanation:

Answer:

The part that is shaded is 5/14

Step-by-step explanation:

The total circle is 1

1/2 + 1/7 + x = 1  where x is the shaded area

Multiply each side by 14 to get rid of the fractions

14(1/2 + 1/7 + x) = 1*14

7 + 2 + 14x = 14

9+14x = 14

Subtract 9 from each side

14x = 5

Divide by 14

x = 5/14

The part that is shaded is 5/14

Answer:

a

Step-by-step explanation:

The cat population in Catonsville in 2007 was 200. The answer is option B.

Population refers to the total number of people, animals, or objects in a particular group or area. It is the entire group or collection of individuals, things, or events that we are interested in studying or describing.

We can use the given equation to find the cat population at any given time in years since the beginning of 2010. However, to find the population in 2007, we need to make a conversion from years since the beginning of 2010 to years since the beginning of 2007.

From the beginning of 2007 to the beginning of 2010, there are 3 years, so if we subtract 3 from the number of years since the beginning of 2010, we will get the number of years since the beginning of 2007. Therefore, we need to substitute t = -3 into the given equation and solve for p:

\(p = 1600(2)^t\\p = 1600(2)^(-3)\\p = 1600(1/8)\\p = 200\)

Therefore, the cat population in Catonsville in 2007 was 200. The answer is option B.

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The value of the car after 2 years is ₹ 3,02,400.

After one year, the car's value decreased by 20%.

To find the new value, we need to multiply the original cost by

\((100\% - 20\%) or 80\%.\)

So, the value of the car after one year is

\(4,20,000 \times 0.8 = 3,36,000.\)

For the second year, the car's value decreased by 10%.

Again, we need to multiply the previous year's value by

\((100\% - 10\%) or 90\%\).

Therefore, the value of the car after the second year is

\(3,36,000 \times 0.9 = 3,02,400\).

Thus, the value of the car after 2 years is ₹ 3,02,400.

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Answer:

7

Step-by-step explanation:

√50 is close to √49

49 is a perfect square, 50 is close to 49.

√49 = 7

√50 ≈ 7.071068

Answer:

7

Step-by-step explanation:

\(\sqrt{50} =7.07\)

Hope this helps  

Answer:

The correct option is a) 3n - 4 = 15

Step-by-step explanation:

The product of 3 and a number means 3 multiplied by a number (n)

So it'll be 3*n or simply 3n

Now, it says 4 less than the product

So 4 less than 3n

That is equal to 3n minus 4 or 3n -4

So we come to the conclusion that

3n - 4 = 15

Hope this helps!

Answer:

X >  -3, 0.28, 4

Step-by-step explanation:

x - 7 >  -12 - To solve add 7 to both sides

x > -5 Which means every number GREATER but not EQUAL to 5 will count as a solution to the equation, therefore 5 is not a correct answer. -3 is greater then -5, and any positive number is greater then any negative number.

Therefore the Correct Answer is : -3. 0.28, 4

The group that would best represent the sample population is; D: Every fifth person walking down the street in several different locations..

A sample population is simply a subset of the main population. Now, in this question we see that a poll is being taken on Wednesday to predict which movie will be the most popular at the city’s movie theaters the next weekend.

Now, since we are looking for sample population, the one that will best represent it will be Option D. This is because - Different locations through out the city at Different time has maximum randomness.

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The measure of angle KYC, considering the concept of vertical angles, is given as follows:

m < KYC = 69º.

Vertical angles are angles that are opposite by the same vertex on crossing segments, hence they share a common vertex, thus being congruent, meaning that they end up having the same angle measure.

The vertical angles for this problem are given as follows:

<KYC and 69º.

As they are opposite by the vertex at the crossing of the two diagonal segments for this problem.

Hence the measure of angle KYC is given as follows:

m < KYC = 69º.

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Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x

Answer:

Step-by-step explanation:

A rectangle is shown. The rectangle will be enlarged by a scale factor of 1.5.

2 cm

5 cm

What will be the perimeter of the enlarged rectangle?

we find the two measures of the triangle

2 * 1.5 = 3 cm

5 * 1.5 = 7.5 cm

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides

3 + 3 + 7.5 + 7.5 =

21 cm