2. At a school shop, pens are sold at dallars each and ruler at y dollars each. Mr. James bought 4 pens and 5 rulers for $20. Mr. Pike bought 2 of the same pens and 4 of the same ruler for $16 a. Write two equations in and y to represent the information given above. b. Solve the equations

Help pleaseee :)​

Answer:

Step-by-step explanation:

Since the altitude of an isosceles triangle drawn from its vertex angle bisects the base, we can use the pythagorean theorem to say that:

16^2 = x^2 + x^2

256 = 2x^2

128=x^2

x = 8sqrt2.

so the base has a length of 16sqrt2.

Answer: 150mm squared

Step-by-step explanation:

Multiply by 100

Answer:

150mm²

Step-by-step explanation:

[tex]here,\\ (1.5*100)mm^{2} =150mm^{2}[/tex]

Answer:

2. x = 3

3. x = 10 and y =2

Step-by-step explanation:

2.

From inspection, we can see that EF = 10 and KL = 5

Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2

This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF

Therefore, if GF = 22, then JL = 22 ÷ 2 = 11

So:  2x + 5 = 11

⇒  2x = 11 - 5 = 6

⇒ x = 6 ÷ 2 = 3

x = 3

3.

From inspection, we can see that DF = 12 and HJ = 9

Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3

This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ

Therefore, if HG = 6, then DE = 6 x 4/3 = 8

So:  2y + 4 = 8

⇒  2y = 8 - 4 = 4

⇒ y = 4 ÷ 2 = 2

y = 2

Similarly, if GJ = 24, then EF = 24 x 4/3 = 32

So:  4x - 8 = 32

⇒  4x = 32 + 8 = 40

⇒ x = 40 ÷ 4 = 10

x = 10

Answer:

base = 32 cm , height = 40 cm

Step-by-step explanation:

ratio of base : height = 4 : 5 = 4x : 5x ( x is a multiplier )

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then

A = [tex]\frac{1}{2}[/tex] × 4x × 5x = 2x × 5x = 10x²

given A = 640 , then

10x² = 640 ( divide both sides by 10 )

x² = 64 ( take square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

Then

base = 4x = 4 × 8 = 32 cm

height = 5x = 5 × 8 = 40 cm

Answer:

here's your answer hope it helps you

Step-by-step explanation:

distance= speed*time

speed=70 miles per hour(280 in 4 hrs so divide)

time= 6.5 hour

distance=70×6.5 miles

distance=455.0 miles

Answer:

if he delivers 95 newspapers in 2 hours it means that he can deliver 190 in 4 hours, sadly if we were to find out how much he can do per hour he would do 47.5 so this would mean that he would do 237.5 we can round this up to 238, we could expect him to deliver 238 newspapers

Answer: y=x-1

General equation of linear function: [tex]y=mx+b[/tex]

A(-1;0); x=-1, y=0

B(0;-1); x=0, y=-1

Let's solve the system of equations

[tex]\displaystyle\\\left \{ {{0=-1m+b} \atop {-1=0x+b}} \right. =>b=-1=>0=-m-1;m=-1[/tex]

Answer:

Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:

N = 180 x (100 - 40)/40 = 270 pages

60%

Step-by-step explanation:

Answer: I think it is 8.55

Step-by-step explanation:

have a nice day♥️

Answer:

  4n√(3n) +3√n -√(3n)

Step-by-step explanation:

The expression can be simplified, but terms cannot be combined.

  [tex]\sqrt{48n^3}+\sqrt{9n}-\sqrt{3n}=\sqrt{(4n)^2(3n)}+\sqrt{3^2n}-\sqrt{3n}\\\\=\boxed{4n\sqrt{3n}+3\sqrt{n}-\sqrt{3n}}[/tex]

Answer:

42.9

Step-by-step explanation:

Something tells me that you want it as fast as possible, but if you need an explanation just ask!

Good luck!

[:

Answer:

58.57 approximately 58.6

Step-by-step explanation:

we've been given the value for line MN as 67.2m and also line AN as 32m so we look for line MA by saying 67.2 minus 32m to give 35.2m

considering the big triangle we have line MN and we have line MP but we don't have line NP to get line NP we use pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

81.9*2= 67.2*2 + x*2

therefore x is 46.8m

note that line NP is equal to line AB therefore line AB is also 46.8m

so we now look at the smaller triangle to find x

that's also pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

x^2 = 38.5^2 + 46.8^2

therefore our value for x is 58.6

Answer:

73.6

Step-by-step explanation:

this is an addition question so we're going to answer it with an equation let's put 24.6 + 49 =73.6

Answer:

e = 84

Step-by-step explanation:

30 + 12 = e - 42

e = 42 +42

e = 84

Answer:

113.04 cm³

Step-by-step explanation:

Volume = [tex]\frac{\pi r^2h}{3}[/tex]

Solve:

-Chetan K

Percentage represents a part of a whole. The total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.

The percentage is a way to represent a part of a whole. for example, one-fourth of an area A can be written like 25% of A(0.25 A).

Give to us

Sandra ordered a slice of pizza with a side salad for $9.50.

The tax was 6. 2%.

The amount of tax that Sandra needs to pay,

[tex]6.2\%\ of\ \$9.50\\\\=0.062 \times 9.50\\\\= \$0.589[/tex]

As we know that tax is the extra cost that we need to pay, therefore, the total amount Sandra needs to pay,

Total Amount = Cost + tax

                       = $9.50 + $0.589

                       = $10.089 ≈ $10.09

Hence, the total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.

Learn more about Percentage:

https://brainly.com/question/6972121

Answer:

4/7 = 40/70

3/10 = 21/70

Step-by-step explanation:

Mungkin Gini Kali Ya Kak

(3) × 2(2)

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)²

= (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

Answer:

25x^6 y^10

Step-by-step explanation:

Simply: (5xy^3)^2: 25x^2 y^6

25x^2 y^6 (xy)^4

Apply exponent rule: (a * b)^n = a^n b^n

(xy)^4 = x^4 y^4

25x^2 y^6 x^4 y^4

Simply: x^2 x^4: y^10

25x^6 y^6 y^4

Simply: y^6 y^4: y^10

25x^6 y^10

Answer:

(4,5)

Step-by-step explanation:

To begin, we'll solve for y in the first equation.

-y = 3 - 2x

y = 2x - 3

Then, plug this in for y in the second equation.

9x - 6(2x-3) = 6

9x - 12x + 18 = 6

-3x = -12

x = -12/-3

x = 4

Then, you just plug your x value into one of the equations and solve for y. Personally, I think it's easiest to plug it into y = 2x - 3

y = 2(4) - 3

y = 8 - 3

y = 5

[tex]\bold{\huge{\purple{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given:-}}[/tex]

[tex]\bold{\underline{ Let's \: Begin :-}}[/tex]

[tex]\sf{ 2x - y = 3 ...eq( 1 )}[/tex]

[tex]\sf{ 9x - 6y = 6 ...eq( 2 )}[/tex]

Solving eq( 1 ) :-

[tex]\sf{ 2x - y = 3 }[/tex]

[tex]\sf{ x = 3 + y/2 ...eq(3 )}[/tex]

Subsitute eq( 3 ) in eq( 2) :-

[tex]\sf{ 9(3 + y/2) - 6y = 6}[/tex]

[tex]\sf{ 27 + 9y/2 - 6y = 6}[/tex]

[tex]\sf{ 27 + 9y - 12y/2= 6}[/tex]

[tex]\sf{ 27 + - 3y = 6 × 2 }[/tex]

[tex]\sf{ - 3y = 12 - 27 }[/tex]

[tex]\sf{ - 3y = - 15 }[/tex]

[tex]\sf{ y = -15/-3}[/tex]

[tex]\sf{ y = 5 }[/tex]

[tex]\sf{\red {Thus, \: the\: value\: of \:y \: is\: 5 }}[/tex]

Now, Subsitute value of x in eq( 3) :-

[tex]\sf{ x = 3 + 5/2 }[/tex]

[tex]\sf{ x = 8/2 }[/tex]

[tex]\sf{ x = 4}[/tex]

[tex]\sf{\pink{Hence , \: the\: value\: of\:x\:and \:y \: is\: 4 \: and \: 5 .}}[/tex]

Answer:

It costs $25 for a parent and $6 for a child

Step-by-step explanation:

Let x be the cost it takes for an adult to enter, and y be the cost it takes for a child to enter then...

x+y=31

150x+225y=5100

We can write the first equation in terms of x by subtracting y from both sides...

x=31-y

Now, we can solve the system of equations by substitution (substitute 31-y for x)...

150(31-y)+225y=5100

Distribute the 150 to the terms inside of the parentheses

150(31)-150(y)+225y=5100

   4650-150y+225y=5100

Combine like terms

4650+75y=5100

Subtract 4650 from both sides

75y=450

Divide both sides by 75

y=6

Plug 6 back in for y to solve for x:

x=31-y=31-6=25

It costs $25 for a parent and $6 for a child

Answer:

*

Step-by-step explanation:

Pattern A: is adding 2 dots each time

Pattern B: is going up 1,2,3,4 (adding that amount each time)

Pattern C: Times by 3 each time

Answer:

A

Step-by-step explanation:

Brackets are used to show multiplication.

For A if we multiple out the brackets we get: 5b+10 which means 5 times the sum if b and 2

[tex]5(u + 1) - u = 3(u - 1) + 7 \\ 5u + 5 - u = 3u - 3 + 7 \\ 5u - u + 5 = 3u - 4 \\ 4u + 5 = 3u - 4 \\ 4u - 3u = - 4 - 5 \\ u = - 9[/tex]

sorry if this is not correct

Answer:

416

Step-by-step explanation:

Well I know 8 x 100=800 so I did 8 x 400=3,200

Then I added 8 x 10=80 which is 3,280

and from there I did 8 x 6=48

And then what's 3,280+48=3,328 because 3,280+40=3,320 and then add 8=3,328

Hope it helps

Answer:

If we break apart 3,328 and first divide 3,000 by 8 we get 375, and then divide 328 by 8 we get 41, this helps us understand that if we divided 3,328 by 8 we would get 416

Answer:

3

Step-by-step explanation:

3*9^(2n) = (3^(n +1))^3

= 3×9^0^3

= 3×9^0

= 3×1

= 3

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

Answer: 12

Step-by-step explanation:

Following PEMDAS, I’ll solve the multiplication first and then add or subtract the values from left to right.

1-2+5-2+5x2

1-2+5-2+10

-1+5-2+10

4-2+10

2+10

12

Answer:

12

Step-by-step explanation:

You need to use the order of operations, PEMDAS. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, multiplication on 5x2 so now it is 1-2+5-2+10.

Next, is addition and subtraction. When it says left to right you are starting with the part of the equation closest to the left, so 1-2=-1. Then add five to get 4. Subtract 2 to get 2. Finally, add 10 to get 12.

Hope you get an A! <3

Answer:

B and C

Step-by-step explanation:

4(x+1) + 7(x+3)

4x + 4 + 7x + 21 <-- Choice B

11x + 25 <-- Choice C