TOPIC: similtaneous linear equations

p1 + 2q = 3,
p - 2q = 3

​

Answer:

  23.  42 m^2

  24.  144 ft^2

  25.  68 cm^2

Step-by-step explanation:

The teacher should not need to spend any time teaching this. The area of the total figure is the sum of the areas of its parts. You already know that. And, you already know how to compute the areas of triangles and rectangles.

__

You may recall that the area of a triangle is ...

  A = 1/2bh

and the area of a rectangle with the same base and height is ...

  A = bh

So, a triangle with base b and height h has the same area as a rectangle with the same base (b) and half the height (h/2). Recognizing this makes these problems really simple.

__

23. The base of the rectangle and triangle is 7 m. The height of the triangle is 4 m, so its area is equivalent to adding 4/2 = 2 m to the 4 m height of the rectangle. Then the total area is ...

  A = (7 m)(4 m +(1/2)(4 m)) = (7 m)(6 m) = 42 m^2

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24. Since there are two identical triangles of height 5, their total area is equal to that of a rectangle of height 5.

  A = (12 ft)(7 ft +5 ft) = 144 ft^2

__

25. The 5 cm height of the triangle makes it have an area equivalent to a rectangle 5/2 cm high.

  A = (8 cm)(6 cm +5/2 cm) = 68 cm^2

Note: we have read the fuzzy numbers as 8 cm wide, 6 cm high for the rectangle, and 5 cm high for the triangle. If your figure is different, please use the appropriate numbers in the calculation.

Answer:

130$

Step-by-step explanation:

Answer:

Mitchell will have 130.66 USD remaining.                                                              

Answer:

b) -49

f) -73a

j) -10xy

don't knw may be wrong

Answer:

Answer:

Step-by-step explanation:

Given :

KM bisects JKL

To Prove :

m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]

                    Statements                                      Reasons

1). KM bisects ∠JKL                                 1). Given

2). m∠JKM = m∠MKL                              2). Definition of congruent angles

3). m∠JKM + m∠MKL = m∠JKL              3). Angle addition postulate

4). m∠MKL + m∠MKL = m∠JKL              4). Substitution property of equality

5). 2m∠MKL = m∠JKL                            5). Distributive property

6). m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]                               6). Division property of equality

Answer:

B

Step-by-step explanation:

[tex](w^8)^8=w^{8\times8}=w^{64}[/tex]

But,

[tex]w^8\times w^8=w^{8+8}=w^{16}[/tex]

Answer:

when n=1

= -2(1-7) = 12

when n=2

= -2(2-7) = 10

when n=3

= -2(3-7) = 8

when n=4

= -2(4-7) = 6

when n=5

= -2(5-7) = 4

Step-by-step explanation:

Answer:

formula: M (x1 +x2/2 , y1+y2/2 )

M(-6+0/2 , -1+1/2)

M(-6/2 , 0/2)

M=(-3,0)

Step-by-step explanation:

The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)

A midpoint is the center of two points, It lies at the same distance from the two endpoints.

The coordinates of the endpoints of a line ST are as follows:

The coordinate of S is (-6, -1)

The coordinate of T is ( 0, 1)

The midpoint of the line ST is M

The coordinates of M is given as,

M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2

x₁ = -6

x₂ = 0

y₁ = -1

y₂ = 1

The coordinates of M is,

( -6 +0) / 2 , ( -1 +1) /2

-3, 0

The coordinates of the midpoint of the line are ( -3, 0).

To know more about Midpoint

https://brainly.com/question/5127660

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Answer:

0.5,5/8, 58.3

Step-by-step explanation:

0.5 is 1/2, and 5/8 is 1/8th larger than 1 half, and 58.3 is the only one with a whole number, so its the largest. Hope this helped, can i maybe get brainliest :D

The required ascending order is given as 0.5, 58.3%, and 5/8.

Given that,
To arrange the given number in ascending order,
5/8 , 0.5 , 58.3%

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
5 / 8 = 0.625
58.3% = 0.583

So,
0.5 < 58.3% < 5/8

Thus,the required ascending order is given as 0.5, 58.3%, and 5/8.

learn more about ascending order here,
https://brainly.com/question/20522991
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Answer:

Down below

Step-by-step explanation:

There are 3 feet in 1 yard which makes it have a value of one.

3ft = 1yd

Best of Luck!

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

[tex]\huge\boxed{\boxed{\bold{\frac{5}{4}}}}[/tex]

[tex]\hrulefill[/tex]

Let's start by finding [tex]125\%[/tex] in decimal form. To do this, just divide the percentage by [tex]100[/tex]:

[tex]125\div100=1.25[/tex]

This doesn't match any of our choices, so we'll try fraction form.

A percentage in fraction form is just the percentage over a denominator of [tex]100[/tex].

[tex]\frac{125}{100}[/tex]

Now we divide both the numerator and denominator by their greatest common factor, which is [tex]25[/tex]:

[tex]\frac{125\div25}{100\div25}=\large\boxed{\frac{5}{4}}[/tex]

Answer:

Let's kim's sisters age be 2x and kim's age be x.

★ When we add kim's age to her sister age, they equals to 36.

So, the equation becomes -

[tex] \\ \implies \sf \: x + 2x = 36 \\ \\ \\ \implies \sf \: 3x = 36 \\ \\ \\ \sf \underline{Now, \: \: solve \: \: for \: x \: \: - } \\ \\ \\ \implies\sf \: x = \frac{36}{3} \\ \\ \\ \implies \large{ \boxed{ \sf{ x = 12}}} \\ [/tex]

Answer:

does not pass the vertical line test so the graph is not a function

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

simple math..

Step-by-step explanation:

2x + 4(7-x)

= 2x + 28 -4x

= 28 - 2x

Answer:

1.) 5^7     2.) 4^a+b     3.) a^c+d

Step-by-step explanation:

If the exponents are number, you can add the numbers together. Do not add the base numbers. ( Ex: 3 + 4 = 7 )(problem 1)

If the exponents are variables, indicate that you are adding the variables by putting an addition sign between the letters.

Answer:

Option H. 6⅓

Step-by-step explanation:

Let X be the score.

Let F be the number of scores (i.e the frequency)

From the question given above, the following data were obtained from:

X >>>>>>>>> F

4 >>>>>>>>> 2

6 >>>>>>>>> 1

8 >>>>>>>>> 3

Thus, we can obtain the average as follow:

X >>>>>>>>> F >>>>>>> FX

4 >>>>>>>>> 2 >>>>>>> 8

6 >>>>>>>>> 1 >>>>>>> 6

8 >>>>>>>>> 3 >>>>>>> 24

Summation (FX) = 8 + 6 + 24

Summation (FX) = 38

Summation (F) = 2 + 1 + 3 = 6

The average = summation (FX) /Summation F

The average = 38/6

The average = 6⅓

Therefore, Hannah's average for the six math quizzes is 6⅓.

Answer:

7:4

Step-by-step explanation:

The number of sharks at the aquarium is 840

The number of lion fish is 630

The total number of fish is 1470

Therefore the ratio of fish to sharks can be calculated as follows

= 1470/840

= 7:4

Hence the ratio of fish to sharks is 7:4

Answer:

=20 -9x

Step-by-step explanation:

5+3(-x-9)+ 4x – 2(5x-1)

=5 -3x -27 + 4x – 10x + 2

=5 + 2 -27 -3x + 4x – 10x

=20 -9x

Answer:

16

Step-by-step explanation:

15/120

2/x     (cross multiplication

Answer:

Your answer is 16 Minutes

Step-by-step explanation:

Very Easy!

15 Shapes/ 2 minutes = 120 Shapes/ X Minutes

Rearrange that, you get 15X = 240 as you cross multiplied,

240/15 = 16!

X=16!

Answer:

b when b³ = 8

Step-by-step explanation:

Value of c when c² = 8 :-

[tex]c^2 = 8\\=> c = \sqrt{8} = 2\sqrt{2} = 2.828[/tex]

Value of d when d³ = 9 :-

[tex]d^3 = 9 \\=> d = \sqrt[3]{9} = 2.080[/tex]

Value of b when b³=8

[tex]b^3 = 8\\=> b = \sqrt[3]{8} = 2[/tex]

Value of a when a² = 9

[tex]a^2 = 9\\=> a = \sqrt{9} = 3[/tex]

Comparing all the values of a , b , c , & d ..... we find that value of b is the least

Answer:

smart

Step-by-step explanation:

Step-by-step explanation:

...idk hope this one helps

Answer:

the answer is five

Step-by-step explanation:

first think of it like 40 over 200 then simplified down. which will get you 1/5 ,therefore five is the answer.

Answer: I think it's the 2nd one

and I'm not guessing but yea it's probably the 2nd one

Step-by-step explanation: