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Answer:

simplify the expression

exact form :

5/36

decimal form :

0.138

Answer:

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

Cost of 1 m of wooden frame = y

Cost of 14 m of wooden frame = 14y

We are given that total cost of framing and fencing is 38

So. 12x+14y=38 ----1

In Fig 2

Length = 6 m

Breadth = 2 m

Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

Substitute the value of 12x form 1 in 2

38-14y+16y=40

2y=2

y=1

Substitute the value of y in 2

12x+16=40

12x=24

x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]

Cost of 1 sq.m. = 2

Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

Cost of 16 m of wooden frame = 16

So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Answer:

Counting the unit on graph, we observes:

EK = MI = 8

EK // MI // x-axis

=> MEKI is parallelogram

Hope this helps!

:)

Answer: It has two pairs of parallel lines

Step-by-step explanation:

coordinates of E (-4,4)  K (4,4)   M(-6,-3) I( 2,-3)

The distance from E to K is 8  the same as the distance from M to I.

The distance from M to E is  about 7.3 and the distance between K and I is the the same thing.

Answer:C- 3x+5 x-3

Step-by-step explanation:

Answer:

C) 3x+5/x-3

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Answer:

23/36

Step-by-step explanation:

In the figure attached, the possible outcomes are shown. We can see that there are 6*6 = 36 total outcomes, 23 of them are less than 14. Then the probability that the product of the two numbers Drake rolls is less than 14 is 23/36

Answer:

A. True

B. False

C. False

D. False

Step-by-step explanation:

Answer:

a=he went back home

b=speed=240km/h

Step-by-step explanation:

ps: wouldn't mind brainliest

Answer:

a) Jo moved 1 kn from her starting position at minute 10

b) 0.13 km/min

Step-by-step explanation:

Look at the picture

Answer:

First pic: D)

Second pic: C)      

Third pic: B)    

Forth pic: A)                

Fifth pic: D)          

Explanation:

I'm so sorry if I got some wrong it's been a while since I've done questions like this. Tell me if I got any wrong. Although, I hope this helped!                      

Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Answer: y= -2x -4

Step-by-step explanation:

-3-4= -7

2-(-12)=14  

14/-7= -2 as the slope.  y=-2x +B

2=-2(-3) +b

2=6 +b     b=-4

y= -2x -4

Answer:

yes

Step-by-step explanation:

because the angles can be, acute, obtuse or right.

Answer:

yes

Step-by-step explanation:

The answer is yes because the angles add up to 180

Answer:

y=-2x+8

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

15:1

Step-by-step explanation:

Answer:

are there answer choices

Step-by-step explanation:

sorry i did not answer

Step-by-step explanation:

7x + 8 + 15 - 7x

Solving like terms

23

Option C is the correct answer

Answer:

23

Step-by-step explanation:

Given

(7x + 8) + (15 - 7x) ← remove parenthesis

= 7x + 8 + 15 - 7x ← collect like terms

= 23

Answer:x equals 67. 154 minus 87 is 67. 67 + 87 = 154.

Step-by-step explanation:

(Please mark brainliest)

Answer:

x=57°

Step-by-step explanation:

The unknown angle opposite x=180-154 (angles on a straight line)

=26°

Now

x=180-87-26 (angles of a triangle add up to 180°)

x=57°

Answer:

Answer is option b)

Step-by-step explanation:

[tex]sum \: of \: opposite \: angles \: of \: a \: \\ cyclic \: quadrilateral \: is \: 180 \: degrees \\ from \: the \: diagram \\ 2x + 2x - 12 = 180 \\ 4x - 12 = 180 \\ 4x = 180 + 12 \\ 4x = 192 \\ x = \frac{192}{4} \\ x = 48 \\ angle \: P \: = 2x \\ \: \: \: = 2(48) \\ \: \: \: = 96 \: degrees \\ angle \: N \: = 2x - 12 \\ \: \: \: \: = 96 - 12 \\ \: \: \: = 84 \: degrees[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

I would say B

Step-by-step explanation:

I think

Answer:

35 deg

Step-by-step explanation:

1/2(100 - 30 deg) = 35

Mean: 10.5

Median: 10.5

Range: 5

--------------------------------------------

To find the mean you order the numbers then add then divide.

Add

8+9+10+10+10+11+11+11+12+13=105

Divide

105÷10=10.5

Mean = 10.5

--------------------------------------------

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.

the middle number is 10.5 so therefore it is the median.

--------------------------------------------

To find the range you subtract the biggest number to the smallest number.

Subtract

13-8=5

Therefore 5 is the range

Answer:

The median is 10.5 the range is 5 and the mean is 10.5

Step-by-step explanation:

To find the median you have to cross out each number till you get 2 since there are 10 numbers together then add 10 and 11 and get 21 divide by 2 which gives you 10.5 to find the mean add all the numbers then divide 105 by 10 and get 10.5 to find the range take 13-8 and get 5

Answer:

6, -7

Step-by-step explanation:

when I followed those instructions, that's what i got.

:)

Answer:

he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.

he could also do 89.25 + X = 129.85

Answer:

A

Step-by-step explanation:

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + (x -5) = 0

(x - 5)(x + 1) = 0

x - 5 = 0   ; x + 1 = 0

x = 5      ; x = -1

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

I'll explain rn hold up

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

Fist simplify [tex]40\sqrt{40}[/tex] :

[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]

Now simplify [tex]4\sqrt{8}[/tex] :

[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]

Insert both into expression:

[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]

Simplify:

[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]

Rationalize:

[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]

Simplify:

[tex]5\sqrt{20}[/tex]

Convert to simplest radical form:

[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]

:Done

Answer:

a circle with center at (h, k) or (3, -4) and radius 3

Step-by-step explanation:

Next time, please share the answer choices.

(x - 3)^2 + (y + 4)^2 = 9 = 3^2

is a circle with center at (h, k) or (3, -4) and radius 3.