Find the equation of each line.

help help help please

Answer:

Step-by-step explanation:

1)

Which is greater between:

a) 0.31 or 0.103

0.31 is greater than 0.103 because it is close to 1

b)  1.405 or 1.45

1.45 is greater than 1.405

2)

Which is smaller between

a) 1.405 or 1.45

1.405 is smaller than 1.45

b) 0.8 0r 0.008

0.008 is smaller than 0.8

c) 29.678 or 92.678

29.678 is smaller than 92.678

3) Arrange in ascending order

a) 7.043 , 7.403 , 7.304     b) 47 .63 , 47.636 , 47.736

Ascending order means a sequence from the lowest value to the highest value.

SO, in ascending order, the arrangement is:

a) 7.043 , 7.304 , 7.403

b) 47.63 , 47.636 , 47.736

4) Arrange in descending order

a) 0.587 , 1.587 , 0.1587     b) 789.560 , 786 . 065 , 798 .65

Descending order means a sequence from the highest value to the lowest value.

SO, in descending order, the arrangement is:

a) 1.587 , 0.587 , 0.1587

b) 798.65 , 789.580 , 786.065

5) Arun had Rs 965.27 in the bank. He withdrew Rs 209.98. What amount of money is left in the bank?

Given that:

Arun's capital = Rs 965.27 in bank

and he made a withdrawal of Rs 209.98.

The amount left in bank = Rs 965.27 - Rs 209.98

The amount left in bank = Rs 755.29

6) Sachin's weight was 52.8 kg before he became ill. In the first week, he lost 2.9 kg but in the second week, he gained 0.72kg. What was his total weight at the end of the second week?

Initial weight = 52.8 kg

After he became ill:

During the first week, he lost 2.9 kg

He gained 0.72 kg in the second week.

His total weight after the second week = (52.8 - 2.9 + 0.72) kg

His total weight after the second week = 50.62 kg

7) The height of Akash is 1.26m and that of Arjun is 1.3m , who is taller and by how much?

Given that:

The height of Akash = 1.26 m;  &

The height of Arjun = 1.3 m.

The Arjun is taller than Akash and he is taller by :

1.3 m - 1.26 m = 0.04 m

Arjun is taller than Akash and he is taller by 0.04 m

Answer:

27

Step-by-step explanation:

36*(3/4)

I just put that in a calculator so

Answer:

[tex]5x^{2}[/tex]×3x

Answer:

f = 22

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

140° is an exterior angle of the triangle, thus

4f + 1 + 51 = 140, that is

4f + 52 = 140 ( subtract 52 from both sides )

4f = 88 ( divide both sides by 4 )

f = 22

Answer:

y=-4/3x+4/5

———————-

[tex]\huge\text{$k=\boxed{117}$}[/tex]

[tex]\displaystyle\frac{k}{3}-5=34[/tex]

To find the value of [tex]k[/tex], we need to isolate it on one side of the equation. Add [tex]5[/tex] to both sides of the equation, then multiply both sides of the equation by [tex]3[/tex].

[tex]\displaystyle\begin{aligned}\frac{k}{3}-5+5&=34+5\\\frac{k}{3}&=39\\\frac{k}{3}*3&=39*3\\k&=\boxed{117}\end{aligned}[/tex]

Answer:

Either the abscissa is positive and the ordinate is negative or the abscissa is positive and the ordinate is negative. So, a point could be either (+,-), which lie in quadrant IV, or it could be of the type (-,+), which lie in quadrant II.

Answer:

m=−16

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4m−5(3m+10)=126

4m+(−5)(3m)+(−5)(10)=126(Distribute)

4m+−15m+−50=126

(4m+−15m)+(−50)=126(Combine Like Terms)

−11m+−50=126

−11m−50=126

Step 2: Add 50 to both sides.

−11m−50+50=126+50

−11m=176

Step 3: Divide both sides by -11.

−11m /−11 = 176 /−11

m=−16

Answer:

66 tens

Step-by-step explanation:

Required

Solve 66 hundreds / 10

First, we need to express 66 hundreds as a number.

1 hundred = 100

66 hundreds = 66 * 1 hundred

So:

66 hundreds = 66 * 100

66 hundreds = 6600

66 hundreds / 10 would then be calculated as:

66 hundreds / 10 = 6600/10

66 hundreds / 10 = 660

660 can be represented as:

66 hundreds / 10 = 66 * 10

or

66 hundreds / 10 = 66 tens

Hence, option C answers the question

Answer:

C = 5.50S + 9L

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

The equation that relates the cost, Cin dollars with the number of small toy cars, S, and the number of large cars, L is  C = 5.50S + 9L.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A hobby shop sells small and large toy cars. A small toy car is $5.50, and a large toy car is $9.

Let S be the number of a small toy car and L be the number of a large toy car.

The equation can be made:

Total cost:

C = 5.50S + 9L

Thus, the equation that relates the cost, Cin dollars with the number of small toy cars, S, and the number of large cars, L is  C = 5.50S + 9L.

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Answer:

a. 360.323 m

b. [tex]95.265^{o}[/tex]

Step-by-step explanation:

Distance covered from A to B = speed x time

                                                 = 110 x 2.8

                                                 = 308 m

Distance covered from B to C = speed x time

                                                  = 110 x 1.7

                                                  = 187 m

The sum of angles at B = [tex]64^{o}[/tex] + [tex]26^{o}[/tex]

                                       = [tex]90^{o}[/tex]

a. The distance of the plane from it starting point to C can be determined by applying the cosine rule.

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B

Sot hat;

[tex]b^{2}[/tex] = [tex]187^{2}[/tex] + [tex]308^{2}[/tex] - 2(187 x 308) Cos [tex]90^{o}[/tex]

But, Cos [tex]90^{o}[/tex] = 0

So that,

[tex]b^{2}[/tex] = [tex]187^{2}[/tex] + [tex]308^{2}[/tex]

  = 34969 + 94864

  = 129833

b = [tex]\sqrt{129833}[/tex]

  = 360.323

The distance from A to C is 360.323 m.

b. Applying the sine rule;

[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]

[tex]\frac{187}{SinA}[/tex] = [tex]\frac{360.323}{Sin90^{o} }[/tex]

[tex]\frac{187}{SinA}[/tex] = [tex]\frac{360.323}{1}[/tex]

Sin A = [tex]\frac{187}{360.323}[/tex]

         = 0.5190

⇒ A = [tex]Sin^{-1}[/tex] 0.5190

       = [tex]31.265^{o}[/tex]

The bearing of the plane from its original location = [tex]64^{o}[/tex] + [tex]31.265^{o}[/tex]

                                                     = [tex]95.265^{o}[/tex]

Using the Sine and Cosine rule on the triangle generated using the information given, the distance and bearing of the plane from its original location are :

Using the Cosine Rule :

b² = 187² + 308² - 2(187)(308)Cos(90°)

b² = 187² + 308² - 0

b² = 129833

b = √129833

b = 360.32 miles

B.)

Using the Sine rule :

a/sinA = b/SinB = c/SinC

187/sinA = 360.32/sin90

187/sinA = 360.32/1

sinA × 360.32 = 187

sinA = 187 / 360.32

sinA = 0.51898

A = Sin¯¹(0.51898)

A = 31.264

Hence, bearing of C from A = (64° + 31.264) = 95.26°

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Answer: V≈42.88in³

Step-by-step explanation: i might be wrong but let me know

Answer: 49 is a perfect square.

Step-by-step explanation: We say that 49 is a perfect square because it is the product of an integer multiplied by itself, 7×7. If we had a square with an area of 50, this wouldn't be a perfect square because no integer, multiplied by itself, will give a product of 50.

Answer: 2

Step-by-step explanation:

Rise/Run is the simple version of slope. Count how many squares up it is from the side, which is 2 over 1.

Answer:

400

Step-by-step explanation:

4*10^6=4,000,000 and 1*10^4=10,000

4,000,000/10,000 is 400

Answer:

x=29

Step-by-step explanation:

4x-18+5x-71=180

9x=269

x=29

Answer:

The value of n is 1/2.

Step-by-step explanation:

[tex] {25}^{2n + 1} = 625[/tex]

[tex] log_{25}(625) = 2n + 1[/tex]

[tex]2 = 2n + 1[/tex]

[tex]2n = 1[/tex]

[tex]n = \frac{1}{2} [/tex]

The solution for the given equation is n=624/625.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 25²n+1=625.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 625n+1=625

625n=624

n=624/625

Therefore, the solution for the given equation is n=624/625.

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Answer: She needs 10 1/2 hours to read the book.

Step-by-step explanation:I day = 1 3/4 hours

6 days = 1 3/4 x 6

6 days = 7/4 x 6

6 days = 42/4

6 days = 10 1/2 hours

Answer:

The answer is D - 3.786x10^7

Answer:

x= -2, -1

Step-by-step explanation: The solution is the x-value of the point of intersection

Answer:

hi how are you doing today Jasmine

Answer:

Do u know the answer to

Step-by-step explanation:

Triangle ABC is a right triangle.  The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)  

A) 3.3 in

B) 6.7 in

C) 7.9 in

D) 9.0 in

Answer:

21

Step-by-step explanation:

2y-7=35

2(21)-7 = 35

42-7= 35

35 =35

Answer:

3

Step-by-step explanation:  There are 3 terms there

Answer:

Step-by-step explanation:

The terms of this given expression are 3x^2, 4y and 1. Thus, there are three terms.

Answer:

I got f^-1(x)= 5x-3

You switch x and y (because f(x) is basically y) so then it's a two-step equation.

Answer: A

Step-by-step explanation:

Answer:

(0,2), (2,3)

Step-by-step explanation:

I know that 0,2 would be a point because it is the constant in the problem, but I am not to sure about 2,3.

Answer:

-4,-3 is 4 and 2,1 is 2

Step-by-step explanation:

Answer:

Letter C.

Step-by-step explanation:

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

triangles are not similar

Answer:

The triangles are not similar

Step-by-step explanation:

cuz it ain't duhhhhh