An equilateral triangle and a rectangle have the same perimeter.
How do you find the side lengths of the equilateral triangle and the rectangle?

Answer:

$180

Step-by-step explanation:

150 ÷ 25 = 6

6×3 = 18

18×10 = 180

The total value of the coupons that were given out is $180.

Correct option is (D).

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

3 out of every 25 customers receive a $10 coupon to use on their next visit.

Customers at the restaurant today = 150

For 25 customers = 3 coupons

For (25 × 6 = 150) customers = (3 × 6 = 18) coupons

Total value of the coupons = 18 × 10 = $180

Hence, the total value of the coupons that were given out is $180.

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Answer:

-6x+27

Step-by-step explanation:

thanks + brainliest = explanation

if needed, of course :)

Answer:

-2, -1, 0, 1

Step-by-step explanation:

-2

-1

0

1

All the possible values of t in the inequality - 3 < t < 2 is,

t = - 2, - 1, 0, 1

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The inequality is,

- 3 < t < 2

Here the given inequality means all the values of t are lies between - 3 and 2.

That is,

t = - 2, - 1, 0, 1

Therefore, the value of t are t = - 2, - 1, 0, 1

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Answer:

31

Step-by-step explanation

16x0+2x2•y-1

ok now

16•2+2•2•2•4-1

wich is: 31

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

→ x - 8 + 3x - 9 = 21

→ 4x - 17 = 21

→ 4x = 21 + 17

→ 4x = 38

→ x = 38/4 = 9

→ x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

Answer:

1.2 degree Fahrenheit per minute.

per minute.

Step-by-step explanation:

We are supposed to find the unit rate for 15.6°F in 13 minutes.

To find the unit rate for our given scenario, we will divide 15.6 by 13 as:

Therefore, our required unit rate would be 1.2 degree Fahrenheit per minute.

Answer: 4 hours 30 minutes

Step-by-step explanation: 36/8 = 4.5 hours

hours = 4, minutes = 0.5*60 = 30

Answer:

As finding 10% of a number means to divide by 10, it is common to think that to find 20% of a number you should divide by 20 etc. Remember, to find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.

Step-by-step explanation:

Answer:

You have A correct and I think B, is the second one

Step-by-step explanation:

You already have A correct as I solved the problem quickly (if you want a explanation I can give one) then the second one for B makes sense as it explains the same problem that was correct on question A. If you want more of a explanation I can give one

Answer:

0.4/1

Step-by-step explanation:

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 30

Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

Answer:

a) -5 meters

b)160°C

Step-by-step explanation:

Answer:

This is a contradiction

Let the first no be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

First no=2

Second no=5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

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Answer:

  x ≤ 5 5/8

Step-by-step explanation:

  8x +15 ≤ 60 . . . . . . given

  8x ≤ 45 . . . . . . . . . subtract 15

  x ≤ 5 5/8 . . . . . . . . divide by 8

The graph is a solid dot at x = 5 5/8, with shading extending to the left.

Answer:

Step-by-step explanation:

A ∪ B 2.A ∪ C 3.A ∩ B 4.A ∩ C 5.B ∩ C. 4 - {1,3,5} 5 - null, or empty set ... a = ∅ b = B c = then A ∪ B = B d = A e = then A ∩ B = B. 1. If A ⊂ B ...

The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.

So, the amplitude is:

[tex]\mathbf{A = 1.5 - 2.75}[/tex]

[tex]\mathbf{A = -1.25}[/tex]

The vertical shift is the minimum height of the peg.

So, we have:

[tex]\mathbf{D = 0.25}[/tex]

The period (T) equals one circumference.

So, we have:

[tex]\mathbf{T = (max-min)\pi}[/tex]

This gives

[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]

[tex]\mathbf{T = 2.5\pi}[/tex]

The frequency (B) is then calculated as:

[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]

This gives

[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]

Divide

[tex]\mathbf{B = 0.8}[/tex]

A sine function is represented as:

[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]

Substitute the calculated values

[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]

The horizontal shift (C) is 0.

So, the function becomes

[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

See attachment for the graph of the equation

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Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd

Answer:

[tex]x^2-9x+20[/tex]

Step-by-step explanation:

Use the distributive property.

[tex](x-5)(x-4)[/tex]

[tex]x^2-5x-4x+20[/tex]

[tex]x^2-9x+20[/tex]

This is already in standard form.

Hope this helps!

Bran has to make in all to walk a total of 28 kilometers  : 4 x 2 = 8 ( trips )

ok done. thank to me :>

[tex]\\ \sf\longmapsto x-5/3=1[/tex]

[tex]\\ \sf\longmapsto x=1+5/3[/tex]

[tex]\\ \sf\longmapsto x=3+5/3[/tex]

[tex]\\ \sf\longmapsto x=8/3[/tex]

Done

[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]

[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]

[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]

[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]

[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]

Answer:The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the squar

Step-by-step explanation:

Answer:

Step-by-step explanation:

The square root of a number is a whole number between 50 and 100.

Let the number be n, given:

Square both sides:

The number is a perfect square between 2500 and 10000.

Let the number is n:

Square both sides:

Solution is:

The answer is yes, the number must be between 0 and 1.

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

[tex](n \times (12 + 18)) + 43 = 103[/tex]

[tex]30n + 43 = 103[/tex]

Subtract both sides 43

[tex]30n + 43 - 43 = 103 - 43[/tex]

[tex]30n = 60[/tex]

Divide both sides by 30

[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]

[tex]n = 2[/tex]

Answer:

-9

Step-by-step explanation:

the teacher was right