Express each of following in ratio of the first quantity to second , in its lowest term .
1, in the form a:b , 2, as in fraction
a, 25 cents , 80 cents
b, 210 celcius , 360 Celsius
c, 250 cm , 1m
d, 80 cents , £ 1.20

Answer:

A. 46

Step-by-step explanation:

because IJ is 46 also and there both the same size.

Answer:

Positive correlation exists ;

Number of Steps taken will cause heart rate to increase.

Step-by-step explanation:

Correlation refers to the relationship which exists which exists between two variables. It shows how an increase in one variable affects the other variable. Variables are divided into independent and dependent variables. Correlation may either be positive, negative or non - existent.

Given the correlation Coefficient of 0.88 between heart rate and number of steps taken, the R value being close to 1 depicts a strong positive relationship or correlation.

Correlation between number of steps taken and heart rate.

Yes, The number of steps taken will cause the hear rate to increase. Hence, the dependent variable is is heart rate and it depends on the number of steps taken (independent variable).

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

1. The number of steps taken is correlated with the hate rate because a correlation coefficient of 0.88, shows a positive strong relationship.

2. The her heart rate is dependent on the number of steps she takes, therefore, number of steps taken causes her rate rate to change.

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The inequality that represents the constraint is as follows;

200x + 500y ≤ 100000

The inequality to describe the constraints is as follows;

Therefore,

let

x = acre of land use to plant soya beans

y = acre of land use to plant wheat

Therefore,

200x + 500y ≤ 100000

Hence, the inequality that represents the constraint is as follows;

200x + 500y ≤ 100000

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Answer:

200x + 500y ≤ 100000

Step-by-step explanation:

Given ,

The cost of planting  soybeans is $ 200 per acre

The cost of planting wheat is $ 500 per acre

The maximum amount he can spend for planting is $ 100,000

Let's assume

x = acre of land use to plant soya beans

y = acre of land use to plant wheat

We know that ,

If 'a' is the cost spend on unit item and 'b' is the number of items the total cost will be a * b

So the total amount spend for planting will be,

200x + 500y

As the amount spend cannot exceed a maximum of $ 100,000 ,

200x + 500y should be less than or equal to 100,000

Therefore we can mathematically represent it using the inequality ≤  as,

200x + 500y ≤ 100000

Hence, the inequality that represents the constraint is as follows;

200x + 500y ≤ 100000

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Answer:

960

Step-by-step explanation:

Boom! If I get this wrong I am bad.... :(

Answer:

960

Step-by-step explanation:

I took the test look

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

Answer:

x = 65 degrees

Step-by-step explanation:

Three angles are marked with their values:  55 and  60 degrees.  Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.

This 65 degree angle and x are vertical angles.  Thus, x = 65 degrees.  This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.

Given:

The total cost of making a daily taco special for a restaurant is represented by the function

[tex]C(t)=2.5t+1[/tex]

Where t is the number of tacos made.

To find:

The total cost change for every taco special the food truck makes.

Solution:

We have,

[tex]C(t)=2.5t+1[/tex]

Here, 1 is a constant because it is free from the variable and 2.5 is the coefficient of t.

It means, 1 represents fixed cost of making tacos but 2.5t changes with respect to t. Thus, 2.5 represents the addition cost of every taco special the food truck makes.

So, $2.5 is the total cost change for every taco special the food truck makes.

Therefore, the correct option is b.

Answer:

67.5 mile per hour

Step-by-step explanation:

Kevin can travel LaTeX: 22\frac{1}{2}\:22 1 2miles in LaTeX: \frac{1}{3}\:1 3hour. What is his average speed in miles per hour? Group of answer choices

Speed = Distance /Time

Speed = 22 1/2 miles ÷ 1/3 hour

= 45/2 ÷ 1/3

= 45/2 × 3/1

= 67.5 mile per hour

Answer:

4909 m/hr

6000 m/hr

Step-by-step explanation:

Last Year :

Distance = 300 m

Time = 3 2/3 minutes

Speed per hour = distance / time

Time in hour = 11/3 ÷ 60 = 0.0611111 hour

300 / 0.0611111 = 4909.0918 m /hr

= 4909 m/hr

This year :

Distance = 200 m

Time = 3 minutes

Speed per hour = distance / time

Time in hour = 3 ÷ 60 = 0.0333333 hour

200 / 0.0333333 = 6000.0060 m /hr

= 6000 m/hr

Answer:

If we don't what you're solving for we can't solve for x

Step-by-step explanation:

Answer:

I think the answer is 2.3

Answer:

free points :)

Step-by-step explanation:

Answer:

Principal = $700

Step-by-step explanation:

Simple interest = principal × rate × time

Simple interest = $28

Rate = 2% = 0.02

Time = 2 years

Principal = x

Simple interest = principal × rate × time

28 = x * 0.02 * 2

28 = 0.04x

x = 28/0.04

x = $700

Principal = x = $700

Answer:

(3x+2)(3x−2)

Step-by-step explanation:

25.5125 = 25 + 5125 / 10⁴ = 25 + 41 / 80

(41 / 80) / 60⁻¹ = 2460 / 80 = 123 / 4 = 30.75

30.75 = 30 + 75 / 10² = 30 + 3 / 4

(3 / 4) / 60⁻² = 180 / 4 = 45

→   25.5125₁₀ = [25].[30][45]₆₀

Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.

Part left to watch = [tex]\dfrac13[/tex]

As per given, we have

[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]

Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Answer:

[tex]1) y=2x\\2) y=x+3[/tex]

Step-by-step explanation:

[tex]1) y=2x\\2) y=x+3[/tex]

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Answer:

y = 108°

Step-by-step explanation:

Since, line AB is parallel to line CD,

By the definition of corresponding angles,

m∠FPB = m∠FQD

(2x + 16)° = (3x - 12)°

3x - 2x = 16 + 12

x = 28

(3x - 12) = 3(28) - 12

             = 72°

m∠FQD + m∠EQD = 180° [Linear pair of angles]

72° + y = 180°

y = 180 - 72

y = 108°

Answer:

True

Step-by-step explanation:

[tex]\frac{a^9}{a^4} = a^8 . \frac{a^1}{a^4}[/tex]

[tex]a^8 . a^1 = a^9[/tex]

[tex]\frac{a^9}{a^4} = \frac{a^9}{a^4}[/tex]

Answer:

2. C

3. C

Step-by-step explanation:

I'm not too sure what number 1 is about but I know that for number 2, its 12/5 and for number 3, its 0.

Answer:

180 - 109 = 6x-1

6x - 1 = 71

6x = 72

x = 12

Step-by-step explanation:

Answer:

............

Step-by-step explanation:

Thirty five

30+5

Answer: 1.25c

Step-by-step explanation:

The original cost of the DVDs is given as c.

The cost of the DVDs after a 25% markup is: c + 0.25c to show that 25% of c was being added to c to increase the price.

As both numbers in the equation have the same variable attached, they can be added. c is assumed to be 1c when it stands alone.

= c + 0.25c

= 1c + 0.25c

= 1.25c

Answer:

132 cm³

Step-by-step explanation:

Two different ways to calculate:

7×6×6= 252 "would-be" total volume.

5×4×6=120 "missing chunk" subtract that.

252-120= 132 cm³ remaining total

OR

7×2×6=84 vertical part

4×2×6=48. horizontal part. add them

84+48= 132 cm³ Total volume

Answer:

the answer is D. x=5/2

Step-by-step explanation:

I think

Answer:

0.5

Step-by-step explanation:

Answer:

Line parallel would mean having the same gradient of 5/2 hence it’s either option C or D. Sub in the coordinates into y= 5/2x + c to get c= 55 hence the answer is D

Step-by-step explanation: