write the ratio as a fraction in simplest form 35 to 112

Answer:

9/40

Step-by-step explanation:

9/2 is 4.5 and 1/5 is 0.20 so 4.5 times 0.30 is 22.5 and 22.5 into a fraction is 9/40.

32.4 miles per gallon

Step-by-step explanation:

How much did jack travelled per each gallon?

40 1/2 miles- 40.5 miles

1 1/4 gallons - 1.25 gallons.

The Equation =

40.5 = 1.25

x = 1

40.5 = 1.25x

40.5 / 1.25  = x

32.4 = x

x = 32 .4

32.4 miles per gallon!

Answer:

8.06 ft or \(\sqrt{65}\)  ft

Step-by-step explanation:

Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you \(\sqrt{65}\)  ft per side. This can be approximated to 8.06 ft.

The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The value of inverse trigonometric function  θ = sin-1(-.5) is 30°

What is an inverse trigonometric function?

The inverse trigonometric functions perform the opposite operation of the trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. We know that trigonometric functions are especially applicable to the right angle triangle.

Here, the given inverse trigonometric function is  θ = sin⁻¹(0.5)  

Now solving the given inverse trigonometric function by consider 0.5 value in terms of sine that is :

0.5 = sine (30°)

Now, substituting back this value in place of 0.5 and solve for θ :

θ = sin⁻¹(0.5)  

θ = sin⁻¹(sin(30°))  

Now the inverse of sinθ is θ itself

θ = 30°

Therefore, The value of inverse trigonometric function  θ = sin-1(-.5) is 30°.

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The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

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To get the equation which combines with the graphed equation to create a system of equations whose solution set is comprised of the points (−1,−5) and (3,3) we need to plug the points into each equation choice.

Therefore , this is the first step to solve this equation.

The equations of degree 1 are known as linear equations.

These are the equations which are defined for a straight line in a coordinate system.

A linear equation is one that describes a straight line. The general form of a linear equation is  y= mx + b, where m denotes the slope and b its y-intercept.

Note:

The complete question is ,

A linear equation is graphed to the left. Which of the following equations combines with the graphed equation to create a system of equations whose solution set is comprised of the points (−1,−5) and (3,3)?

WHAT IS THE FIRST STEP IN SOLVING THIS PROBLEM?

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Answer: 174

Step-by-step explanation:

Split into two rectangles, first one has area of 54, other has area of 120. Add

Answer:

1.2

Step-by-step explanation:

First, you cancel out \(\frac{6}{20}\) to become \(\frac{3}{10}\)

Then that becomes \(-\frac{3}{10}+1.5\)

Now, you convert the element to a decimal form to be \(-0.3+1.5\)

Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2

Hope this helps!

Answer:

k500: k300

Step-by-step explanation:

5 parts :3 parts

there are 5+3=8 parts in total

800 divide by 8 parts = 100 in each part

k800 is 5:3  is k500: k300

6x-5

Step-by-step explanation:

4/5÷4/10

12×2 -64×-11,×+1

×3-×2+7×

___________

6x-5 answer

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

D-Salary(33) or S(33)

D is correct hope this helps

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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The laws of exponents and the power rule of exponents can be used to simplify the cube of the numbers and variable to get the expression (2·y³)³ = 8·⁹y, therefore; (2·y³)³ ≡ 8·y⁹

The laws of exponents are rules that can be used to simplify expressions that involves exponents.

7) To show that (2·y³)³ ≡ 8·y⁹, the laws of exponents can be used as follows;

According to the law of exponents, when a power is raised to another power, the exponents can be multiplied, therefore;

According to the power rule of exponents, we get;

(2·y³)³ = 2³ × (y³)³

2³ × (y³)³ = 8 × y⁹ = 8·y⁹

The above equation shows that the expression (2·y³)³ is equivalent to 8·y⁹, and the statement in the question; (2·y³)³ ≡ 8·y⁹ is true

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The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

The resulting equation will be x + y = 4 and 4y =20

GIven the system of equation given as:

x + y = 4

-3x + y = 8

If Megan multiplies the first equation by 3 then add the result to the second equation, the resulting equation will be:

3x  + 3y = 12

-3x + y = 8

Adding both equation

3y + y = 12 + 8

4y = 20

Hence the resulting equation will be x + y = 4 and 4y =20

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Answer:

6

Step-by-step explanation:

Speed = Distance/time

Therefore time must = distance/speed

Since the two students are running apart from eachother, we can add their speeds together.

Also we can subtract 10 feet from our goal of 1870 since they're already 10 feet apart.

1860 feet/(150+1650) feet per minute

We can cancel out the feet since it's a common term.

And we're left with 6 minutes.

The  time before they are 1870 feet apart is mathematically given as

X=6min

Question Parameters:

Two old RSM students were standing 10 feet apart

at the speeds of 150 feet per minute

they are 1870

feet apart

Generally, the time they are apart is mathematically given as

X=final distance apart/speeds of run

Therefore

X=1870/(150+160)

X=6min

In conclusion,time before they are 1870 feet apart

X=6min

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After answering the presented question, we can conclude that As a equation result, the pizza's temperature after 5 minutes is 320°F.

In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). The argument \("2x + 3 = 9," f\)or example, states that the sentence "2x Plus 3" equals the value "9." The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. In the equation\("x^2 + 2x - 3 = 0,"\)the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.

Let T(t) be the temperature of the pizza at time t, where t is in minutes. Then,

(a) Applying the Newton's Law of Cooling calculation, we get:

(T(0) - 80) / (400 - 80) = k (where k is the proportionality constant) (where k is the proportionality constant)

When we solve for k, we get:

k = (T(0) - 80) / 320

(T(3) - 80) / (400 - 80) = (T(0) - 80) / 320

T(0) = 400 - 320 * (T(3) - 80) / 320 = 400 - (T(3) - 80) = 320 + 80 = 400°F

(T(5) - 80) / (400 - 80) = (T(0) - 80) / 320

(T(5) - 80) / 320 = (400 - 80) / 320

T(5) - 80 = 3 * (400 - 80) / 4

T(5) = 3 * 320 / 4 + 80 = 240 + 80 = 320°F

As a result, the pizza's temperature after 5 minutes is 320°F.

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9514 1404 393

Answer:

  LW = 17.5

Step-by-step explanation:

In this geometry, all of the right triangles are similar. This means the ratio of long side to short side is the same for all of the triangles:

  WA/YA = YA/LA

  WA = YA²/LA = 7.0²/3.5 = 14.0

Then the length of LW is ...

  LW = LA +AW = 3.5 +14.0

  LW = 17.5

Answer:

\(X \sim N(17.2,5.4)\)  

Where \(\mu=495\) and \(\sigma=120\)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

\(z=\frac{x-\mu}{\sigma}\)

And replacing we got:

\( z=\frac{16-17.2}{5.4}= -0.22\)

And the answer for this case would be \(z =-0.22\)

Step-by-step explanation:

Let X the random variable that represent the scores for the SAT of a population, and for this case we know the distribution for X is given by:

\(X \sim N(17.2,5.4)\)  

Where \(\mu=495\) and \(\sigma=120\)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

\(z=\frac{x-\mu}{\sigma}\)

And replacing we got:

\( z=\frac{16-17.2}{5.4}= -0.22\)

And the answer for this case would be \(z =-0.22\)

Answer:

21

Step-by-step explanation:

Answer:

The answer is 9.

Step-by-step explanation:

If you have a number line, which I don't, you can count the spaces. The answer should be 9.

Answer: 11

Step-by-step explanation:

30 - 2(7+2)- 1        Distribute or  solve parentheses

30 - 14 -4 - 1  

30 - 19 = 11  

Answer:

3: 2

Step-by-step explanation:

game Apps: education apps:

3: 2

3/4(8x+16)

24/4 x + 18/4

= 6x + 9/2

Answer:

938 feet

Step-by-step explanation:

264^2+ 900^2= c^2

879696= c^2

938= c

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation: