The Ratio Of The Weight Of An Object On Planet A To The Weight Of The Same Object On Planet B Is 100 (2025)

The values of x = 14 and y = 12

In the diagram given, there are two parallel lines and three angles formed by cutting the parallel lines.

So here, angles (2x+7)° and (3x-7)° are corresponding angles.

That is they occupy relatively same position, that is both are above each parallel line.

So they are equal angles.

i.e., 2x+7 = 3x-7

⇒ 3x-2x = 7 +7

⇒ x = 14

Now the angles 2x+7° and 12y+1° are supplementary angles.

Supplementary angles are formed on a straight line between a line cutting the straight line.

That is their sum = 180°

i.e., 2x+7° + 12y+1° = 180

⇒ 2 x 14 + 7 + 12y +1 = 180

⇒ 28 + 8 +12y = 180

⇒ 36 +12y = 180

⇒ 12y = 180 -36

⇒ 12y = 144

⇒ y = 12

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Answer:

10.57

Step-by-step explanation:

44+400=444

(4+62)-24=

66-24=42

444/42=10.57

Answer:

3x3x3x3=81

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

Answer: The answer is 20°

Step-by-step explanation:

I think it’s 20° but I’m only in the 6th grade and I got my 180 ruler for this into the screen

Answer:

4 pounds with a membership

29 pounds without

i just added both because i didnt know if you meant 58 extra dollars after bbuying membership or not

Step-by-step explanation:

58 -50(membership fee)=8

16 divide by 8=2

16$=8 pounds

8$=4 pounds

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without membership you could buy 29 pounds of apples

58 divide by 16=3.625

3.625 x 8=29

Answer: 8

Step-by-step explanation:

found slope

the actual amount is 78000 dollar

Step-by-step explanation:

one pack cigarettes cost 25 dollar

3 pack cigarettes costs 75 dollar

20 years × 52 =1040

1040 weeks

1040 × 75 dollar

78000 dollar

From the normal distribution it is calculated that 9.18% of people has an iq over 120.

Normal distributions are crucial to statistics because they are widely used in the natural and social sciences to represent real-valued regressors with unknown distributions.

Some of their significance can be attributed to the central limit theory. This claim states that, in some cases, the average of many samples (observations) of a stochastic process with limited mean and variance constitutes itself as a random variable, whose distribution merges to a normal distribution as the number of samples increases.Because of this, the distributions of physical values, such as error margins, which are expected to be the sum of many independent events, are frequently near to normal.

We have to find P( X > 120 )

Thus find z score for x =120

[tex]z=\frac{x-\mu}{\sigma}=\frac{120-100}{15}=\frac{20}{15}=1.33[/tex]

Thus we get:

P(X>120) = P(Z>1.33)

P(X>120) = 1 - P(Z<1.33)

P( Z < 2.67) = 0.9082

Thus

P(X>140) = 1 - P(Z<2.67)

P(X>140) = 1 - 0.9082

P(X>140) = 0.0918

Percentage = 9.18%

Therefore 9.18% of people has an iq over 120.

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ANSWER:

[tex]\begin{gathered} \text{perpendicular} \\ y=\frac{4}{3}x+18 \\ \text{parallel} \\ y=-\frac{3}{4}x-\frac{3}{4} \end{gathered}[/tex]

STEP-BY-STEP EXPLANATION:

We have that the equation of a line in its slope and y-intercept form is the following:

[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}[/tex]

Now, when two equations are perpendicular, the slope of both are opposite, that is, the product between them is equal to -1, like this:

[tex]\begin{gathered} m_1\cdot m_2=-1 \\ -\frac{3}{4}\cdot m_2=-1 \\ m_2=\frac{4}{3} \end{gathered}[/tex]

We replace the values of the point (-9, 6) and the slope to calculate the value of the y -intercept:

[tex]\begin{gathered} 6=-9\cdot\frac{4}{3}+b \\ b=12+6 \\ b=18 \end{gathered}[/tex]

Therefore, the perpendicular equation that also passes through the point (-9,6) is:

[tex]y=\frac{4}{3}x+18[/tex]

Now, when two lines are parallel, the slope is the same, therefore we calculate directly that it passes through the point (-9, 6)

[tex]\begin{gathered} 6=-9\cdot-\frac{3}{4}+b_{} \\ b=6+9\cdot-\frac{3}{4} \\ b=-\frac{3}{4} \end{gathered}[/tex]

therefore, the equation of the line that is parallel to this line and passes through the point (-9, 6) is:

[tex]y=-\frac{3}{4}x-\frac{3}{4}[/tex]

Answer:

I believe the answer would be -20 percent

Answer: It jupes by 2 each year the rate is 2 to 1 year

Step-by-step explanation:

In zero years it alretey 1m so we can go to 1 where its 3 it juped by two more

The expression is a perfect square trinomial if and only if c = 121.

How to get the value of c?

A perfect square trinomial is written as:

(a + b)^2 = a^2 + b^2 + 2ab

In this case, we have:

t^2 - 22t + c

We can rewrite this as:

t^2 - 2*11*t + c

Then we have:

a = t

b = -11

And we will have that:

c = b^2 = (-11)^2 = 121

Then we have:

t^2 - 2*11*t + 121

Which is a perfect square trinomial:

(t - 11)^2 = t^2 - 22t + 121

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60 ml of the 55% solution is required to get the desired solution.

A unique kind of homogenous mixture made up of two or more substances is called a solution.

A solute is a substance that has been dissolved in a solvent, which is the other substance in the mixture. Polarity effects of chemicals are engaged in the mixing of a solution at a scale that leads to interactions that are very specific to solvation. When the solvent makes up a significant large portion of the combination, as is frequently the case, the solution typically or normally has the condition of the solvent. The concentration of a solution, which measures how much solute is present in a given volume of solution or solvent, is one crucial parameter.

Let x ml of 55% solution is taken.

therefore alcohol = 0.55x ml

water = 0.45x ml

Now it is added to 10% 75 ml solution.

Alcohol = 10% of 75 = 7.5ml

Water = 67.5 ml

New mixture = 75 + x

Alcohol = 30% of (75+x) = 22.5 + 0.3x

Therefore 22.5 + 0.3x = 7.5 + 0.55x

or, x = 60 ml

Therefore 60 ml of the 55% solution is required.

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When Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10) Q ∩ P = { 1, 9}

How to calculate the value?

Set theory simply means the branch of mathematical logic that deals with sets, that can be described as collections of objects.

It should be noted that perfect squares are the numbers that can be divided to give same number.

Q = {all perfect squares less than 30}. This will be 1, 4, 9, 16, 25

P ={ all odd numbers from 1 to 10}. This will be 1, 3, 5, 7, and 9.

In this case, the common numbers to set of P and Q are 1 and 9.

Therefore, the numbers are 1 and 9 since they're common to both sides.

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If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}. Find Q ∩ P.

slope is 3;

rise/run = y/x

6/2 = 3/1

The simple interest Lori would pay if the loan was not amortized and the entire loan was paid at the end of 3 years is $ 1,350.

It is given in the question that:-

Principal = $15,000

Time period = 3 years

Interest rate = 3 %

Total interest paid by Lori, if the loan was amortized = $ 704.

We have to find the simple interest Lori would pay if the loan was not amortized and the entire loan was paid at the end of 3 years.

We know that,

Simple interest = (Principal*Rate*Time)/100

Hence,

Simple interest = (15000*3*3)/100 = $ 1350.

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Answer:

552.8

Step-by-step explanation:

16584/8=2073

2073*0.8=1658.4

1658.4*8=13267.2

13267.2/24=552.8

Answer:

25kg

Step-by-step explanation:

65=x+x+15

65-15=2x

50=2x

25=x

The first question is relatively harder
So let’s start with that
Area of circle is 3.14(r^2)
We are given the diameter as 20m
So radius is 10m
Thus area = 3.14(100)= 314 sq metres
Now each box covers 58 sq metre
So no of boxes = 314/58= 5.41
Rounding to 1 significant figure
It’s 5 boxes
Clearly we are underestimating it as it’s around 5 boxes and a half

For the second question just equate their area
(11)(10)/2 = 22b
=> b= 2.5cm

Answer:

y=3x+3

Step-by-step explanation:

Use rise/run

Answer:

y=-9x+5

Step-by-step explanation:

Answer: The percent of change in the perimeter is 100 percent and

the percent of change in the area is 300 percent .

Step-by-step explanation:

Rectangle is the closed shaped polygon with 4 sides. Opposite sides of the rectangle are equal. when the length and the width of the sandbox are doubled the percent of change in the perimeter is 100 percent and the percent of change in the area is 300 percent.

The possible values of k such that the quadratic equation has real distinct roots are 1 / 2 and 2.

What are the possible values of k associated to quadratic equation?

In this problem we find the case of a quadratic equation, of which the values of a variable k must be found such that the polynomial have real distinct roots. This can be done by using the discriminant of the quadratic formula, which is defined below:

For a · x² + b · x + c = 0, the discriminant is:

b² - 4 · a · c > 0

Then, if we know that a = k - 1, b = 2 and c = 2 · k - 3, then the possible values of k are:

2² - 4 · (k - 1) · (2 · k - 3) > 0

4 - (4 · k - 4) · (2 · k - 3) > 0

4 - (8 · k² - 8 · k - 12 · k + 12) > 0

8 · k² - 20 · k + 8 > 0

Whose form form is shown below:

8 · (k² - (20 / 8) · k + 1) = 0

8 · (k² - (5 / 2) · k + 1) = 0

8 · (k - 2) · (k - 1 / 2) = 0

The possible values of k are 1 / 2 and 2.

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consequently, the time and a half rate will be 33 dollars per hour according to the query.

What is the logic behind time and a half pay rate and how tocalculate it?

A higher rate of pay known as "time and a half" is normally only applied to hours that are over 40 in a workweek or that are worked extra.

Companies have different overtime pay practices, with time and a half as a typical rate.

Simply said, it means that for each hour performed within the time and a half window, the employee will receive payment in addition to their regular hourly rate of one half of that amount.

Time and a Half Rate = Hourly Rate * 1.5

According to the given question:

Time and a half rate =22$*1-1/2

=22$*1.5

=33$ per hour

Therefore, According to the question given the Time and a pay half rate will

be 33$ per hour.

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Answer: 311/500

Explanation: Find the GCD (or HCF) of numerator and denominator
GCD of 1244 and 2000 is 4

Divide both the numerator and denominator by the GCD:

1244 ÷ 4
2000 ÷ 4

Reduced fraction:
311/500

Therefore, 1244/2000 simplified to lowest terms is 311/500.

Answer: (-30, 10)

Step-by-step explanation:

A proportional relationship is of the form y=kx for some constant k.

From the point (60, -20), we know that k = -1/3.

So, we are looking for a point where the y coordinate is -1/3 of the x coordinate. This is satisfied by option 3.

The point-slope form of a line is:

y = mx + b

where m is the slope and b is the y-intercept

Replacing with point (1, -8) and m= -9, we get:

-8 = (-9)(1) + b

-8 = -9 + b

-8 + 9 = b

1 = b

Then, the equation is:

y = -9x + 1

Answer:

34

Step-by-step explanation:

The value would be 34

Answer:$9.72

Step-by-step explanation: 48.60 DIVIDED BY 5 EQUALS 9.72

GIVE ME BRAINLEST PLSS

Answer: 61° and 119°

Step-by-step explanation:

So for the smaller angle you have to do:

1. 180-58=122

2. 122/2=61

Then you just add 61+58=119 for the larger angle