Solve each inequality
X + 15 > 3

Answer:

1:2, 2:4, 3:6

Step-by-step explanation:

If you times 1:2 by 2, you get 2:4. If you times 1:2 by 3, you get 3:6.

You have to multiply each individual number in the ratio.

Answer:1:3

2:6

4:12

Step-by-step explanation:

For every 1 cup of blue paint, [tex]\frac{10}{4}[/tex] cups of red paint are needed

For every 1 cup of red paint, [tex]\frac{4}{10}[/tex] cup of blue paint is needed

For every 4 cups of red paint, [tex]\frac{16}{10}[/tex] cups of blue paint are needed

Solution:

Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint

Therefore, ratio is

[tex]Red : blue = 3\frac{1}{3} : 1\frac{1}{3}\\\\Red : blue = \frac{10}{3} : \frac{4}{3}[/tex]

Let "x" be the cups of red paint needed

Then we get,

[tex]\frac{10}{3} : \frac{4}{3}\\\\x : 1[/tex]

This forms a proportion

[tex]1 \times \frac{10}{3} = \frac{4}{3} \times x\\\\x = \frac{10}{4}[/tex]

Therefore, 10/4 cups of red are needed for 1 cup of blue

Let "x" be the cups of blue paint needed

Then, we get

[tex]\frac{10}{3} : \frac{4}{3}\\\\1 : x[/tex]

This forms a proportion

[tex]\frac{10}{3} \times x = \frac{4}{3} \times 1\\\\x = \frac{4}{10}[/tex]

Thus, 4/10 cups of blue are needed for 1 cup of red paint

Let "x" be the cups of blue paint needed

Then, we get

[tex]\frac{10}{3} : \frac{4}{3}\\\\4 : x[/tex]

This forms a proportion

[tex]\frac{10}{3} \times x = \frac{4}{3} \times 4\\\\x = \frac{16}{10}[/tex]

Thus 16/10 cups of blue paint are needed for every 4 cups of red paint

The ratio of red paint to blue paint is 5:2. Therefore, for every 1 cup of blue paint, 2.5 cups of red paint are needed, for every 1 cup of red paint, 0.4 cup of blue paint is needed and for every 4 cups of red paint, 1.6 cups of blue paint are needed.

The initial statement tells us that the ratio of red paint to blue paint needed is 3 1/3:1 1/3. Converting these mixed numbers into improper fractions, that ratio transforms to 10/3:4/3, which simplifies further to 5:2.

So, if you reduce it down:

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Area of the figure is 532 m².

Solution:

In the given image the shape is splitted into 2 shapes.

First shape is the square.

In square 4 sides are equal.

Area of the square = side × side

                               = 18 m × 18 m

Area of the square = 324 m²

Second shape is the triangle in the bottom.

Base of the triangle = 18 m + 8 m = 26 m

Height of the triangle = 16 m

Area of the triangle = [tex]\frac{1}{2}\times{\text{base}}\times{\text{height}}[/tex]

                                 [tex]$=\frac{1}{2}\times16\times26[/tex]

Area of the triangle = 208 m²

Area of the given shape = area of the square + area of the triangle

                                         = 324 m² + 208 m²

Area of the given shape = 532 m²

Hence area of the figure is 532 m².

Answer: 532 is answer

Hope u get a good grade

Answer:

We will need 50 feet of chain link fence to build a fence around the garden.

Step-by-step explanation:

Measurements of the garden = 10 * 15 feet

How many feet of chain link fence will you need to build a fence around the garden?

For answering the question, let's calculate the perimeter of the garden, this way:

Perimeter = 2 Width + 2 Length

Replacing with the values we have:

Perimeter = 2 * 10  + 2 * 15

Perimeter = 20 + 30

Perimeter = 50 feet

Answer:

14 and 25

Step-by-step explanation:

x = smaller number

y = larger number

x + y = 39

x = y - 11

now we sub

y - 11 + y = 39

2y - 11 = 39

2y = 39 + 11

2y = 50

y = 50/2

y = 25 <=== larger number

x = y - 11

x = 25 - 11

x = 14 <==== smaller number

The problem can be solved by setting up and solving two algebraic equations. The two numbers in question are 25 and 14.

The subject of this problem is algebra. To solve it, we can set up two equations based on the problem's statements, and then solve those equations.

First, we know that the sum of two numbers is 39, so we can write that as: x + y = 39 (Equation 1).

Second, we know that the smaller number is 11 less than the larger number. Assuming x is the larger number and y is the smaller one, we can write this as: y = x - 11 (Equation 2).

To solve these equations in parallel, insert Equation 2 into Equation 1, that results in: x + (x - 11) = 39. Solving this equation simplifies to 2x = 50, so x = 25. Substitute x = 25 in Equation 2, we get: y = 25 - 11 = 14. So, the two numbers are 25 and 14.

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Answer:$49.00

Step-by-step explanation:

9x5-5=$49

The solution set is (7,3).

Step-by-step explanation:

Given system of equations is;

3x−2y=15     Eqn 1

y=2x−11        Eqn 2

Substituting value of y from Eqn 2 in Eqn 1

[tex]3x-2(2x-11)=15\\3x-4x+22=15\\-x+22-15=0\\7=x\\x=7[/tex]

Putting x=7 in Eqn 2

[tex]y=2(7)-11\\y=14-11\\y=3[/tex]

The solution set is (7,3).

Keywords: linear equation, substitution method

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Answer:

0.45

Step-by-step explanation:

Answer:

Given a number N, print all numbers in range from 1 to N having exactly 3 divisors. Examples: Input : N = 16 Output : 4 9 4 and 9 have exactly three divisors. Divisor Input : N = 49 Output : 4 9 25 49 4, 9, 25 and 49 have exactly three divisors.

Step-by-step explanation:

Answer:

8x^2-18x-56

Step-by-step explanation:

(4x+7)*(2x-8)=

4x*2x+4x*(-8)+7*2x+7*(-8)=

8x^2-32x+14x-56=

8x^2-18x-56

The value of 9 × 9 is 81.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

The question is to find the product of 9 × 9.

By the definition of multiplication, 9 × 9 is the addition of the number up to 9 times.

That is, 9 × 9 can also be written as,

9 × 9 = 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9

Adding number 9 to itself 9 times we get 81.

So 9 × 9 = 81

Hence the product after multiplying 9 with 9 is 81.

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Answer:

168 girls.

Step-by-step explanation:

There are a total of 6 + 7 = 13 'parts'.

So one part = 364 / 13 = 28.

So the number of girls = 6 * 28

= 168.

Answer:

817 ---- 800

368 ---- 400

1,451 ---- 1500

Answer:

4

Step-by-step explanation:

Root(48)/Root(3)

= root(48/3)

= root(16)

=4

Step-by-step explanation:

look at the picture shown

Answer: P(A|B) = 0.40.

Step-by-step explanation: Since A and B are independent events, P(A|B) = P(A).

Therefore, P(A|B) = 0.40.

The probability of A given B is 0.40.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Since A and B are independent events, we know that:

P(A and B) = P(A) x P(B)

But since they are independent, we also know that:

P(A and B)

= P(A) x P(B|A)

= P(B) x P(A|B)

Thus:

P(A|B) = (P(A) x P(B|A)) / P(B)

We are given that P(A) = 0.40 and P(B) = 0.30.

We don't know P(B|A), but since A and B are independent, we know that:

P(B|A) = P(B)

So,

P(A|B) = (0.40 x 0.30) / 0.30 = 0.40

Thus,

The probability of A given B is 0.40.

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Answer:

Yes, it is.

Step-by-step explanation:

d(10 + 20) is equivalent to d * 10 + 20 * d. This can be proved with the distributive property, which states that a(b + c) = ab + ac.

Using the distributive property of multiplication over addition and the commutative property of multiplication, it is proven that d(10 + 20) is equivalent to d × 10 + 20 × d.

The question asks if the expression d(10 + 20) is equivalent to d × 10 + 20 × d, using properties of mathematics to explain.

First, let's simplify the expressions using the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Applying this property, d(10 + 20) becomes d × 10 + d × 20.

Comparing d × 10 + d × 20 with d × 10 + 20 × d, we see they are indeed the same because multiplication is commutative—meaning the order of the operands does not change the result. Therefore, d(10 + 20) is equivalent to d × 10 + 20 × d.

Answer:

0.2

Step-by-step explanation:

Answer: .2

Step-by-step explanation:

If the question was 25 divided by 5 it'll be 5 but because it's 5 divided by 25 the answer came out as a deciamal.

.2 can also mean it is 2/10 or maybe 20%

Answer:

x<8

Step-by-step explanation:

4x+8>5x

8>5x-4x

8>x

Answer:

B

Step-by-step explanation

multiply 2 and 6 by 9

Answer:

its b

Step-by-step explanation:

Final answer:

The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, which yields the solutions x = -2 and x = 2.

Explanation:

The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, using synthetic division, or by using numerical methods such as graphing or using a calculator. Let's use factoring to find the solution.

We can begin by factoring out the greatest common factor, which is 1:

x³ + 2x² - 4x - 8 = (x + 2)(x² - 4)

We can further factor the quadratic term using the difference of squares:

(x + 2)(x + 2)(x - 2) = 0

So, the solutions to the equation are x = -2 and x = 2.

The ratio of apple trees to cherry tree is 14:1.

In the orchard, there are 14 apple trees and 1 cherry tree.

To find the ratio of apple trees to cherry trees, we simply divide the number of apple trees by the number of cherry trees, yielding 14:1.

This ratio indicates that for every cherry tree in the orchard, there are 14 apple trees.

Ratios express the relationship between different quantities, providing a comparative measure.

In this case, it illustrates the abundance of apple trees in relation to the singular cherry tree, highlighting the disparity in their numbers within the orchard.

Answer:

427 feet.

Step-by-step explanation:

Option c : 9 is the answer.

Explanation:

The expression is [tex]1.2-(-7.8)[/tex]

We need to determine the subtracted value of the expression.

From the expression we can see that the expression contains two negative signs.

To simplify the expression, we know that, When we multiply two negative numbers then the product is always positive.

This means [tex](-) *(-) = +[/tex]

Thus, the expression can be written as

[tex]1.2+7.8[/tex]

Adding the two numbers, we get,

[tex]1.2+7.8=9[/tex]

Thus, the value of the expression is 9.

Hence, Option c is the correct answer.

Answer:

40.43 Kilometers

Explanation:

19.16, 13, 8.27

19.16 + 13 + 8.27

= 40.43

Final answer:

The total distance Kira ran during the three days is the sum of the individual distances she ran on each day, which is 40.43 kilometers.

Explanation:

The total distance Kira ran on the three days is the sum of the distances she ran on each day. To find the total distance, you simply need to add up the three individual distances.

Add the first distance: 19.16 km

Add the second distance: 13 km

Add the third distance: 8.27 km

Calculate the sum: 19.16 km + 13 km + 8.27 km = 40.43 km

Therefore, the total distance Kira ran during the three days is 40.43 kilometers.

Answer:

LCM= 360

Steps:

8=2*2*2

6=2*3

9=3*3

5=1*5

2*2*2*3*3*5

8*9=72*5=360

Answer:

Step-by-step explanation:

Final answer:

In a 45-45-90 triangle, with a hypotenuse of 2√14, both legs x and y are equal and their lengths can be found by dividing the hypotenuse by √2, which results in lengths of √14 for each leg.

Explanation:

In a 45-45-90 triangle, also known as an isosceles right triangle, the legs are of equal length and the hypotenuse is √2 times the length of one leg. If the hypotenuse is given as 2√14, we can use the fact that the hypotenuse is √2 times the length of a leg to find the length of the legs x and y.

Let x represent the length of one leg and y represent the length of the other leg. Since the triangle's legs are equal in this special triangle, x = y. The relationship between the legs and the hypotenuse in a 45-45-90 triangle can be expressed using the Pythagorean Theorem:

x² + y² = hypotenuse²

Solving for x and y, we get:

x = y = hypotenuse/√2 = (2√14)/√2 = √14

Therefore, in a 45-45-90 triangle with a hypotenuse of 2√14, both x and y, which are the lengths of the legs, are √14.

Answer:

i cant solve it for you but i will tell you how to do it

Step-by-step explanation:

You add them all up from least to greatest on a piece of paper then use your two fingers starting from the least and the greatest and go down the line if you get more than 1 number you must add them both up and divide by 2.