Simon makes a model of a boat, using a scale of 1:30
If the model has a height of 40 cm, find the height of the real boat.

give your answers in metres

Answer:

The numbers are:

Step-by-step explanation:

Let the first number = n

As one number is 5 more than another. So,

The another number = n + 5

Given that the difference between their squares is 75, so

n² - (n + 5)² = 75

n² - (n² + 10n + 25) = 75

n² - n² - 10n - 25 = 75

0 - 10n = 75 + 25

-10n = 100

divide boths sides by -10

-10n/-10 = 100/-10

n = -10

Thus,

The first number = n = -10

The other numebr = n + 5 = -10 + 5 = -5

Therefore, the numbers are:

Answer:

uhh... id.k

Step-by-step explanation:

i need more points sorry

according to goo.gle:

Answer:

2x=  1 /2 y+ 2

Step-by-step explanation:

Solve for x.

2x−y=4

Add y to both sides.

2x−y+y=4+y

2x=y+4

Divide both sides by 2.

2x /2  =  y+4 /2

x= 1/ 2 y+2

The required point that is the solution to the equation 2x - y = 4 is at (2, -4)

In order to get the solution to the equation, we will need to get its x and y-intercept.

x- intercept is the point where y is zero.

Given the equation 2x - y = 4

If y = 0

2x - 0 = 4

2x = 4

x = 4/2

x = 2

Get the y-intercept

y intercept is the point where x = 0

if x = 0

2(0) - y = 4

-y = 4

y = -4

Hence the y-intercept is -4

The required point that is the solution to the equation is at (2, -4)

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The set of complex numbers are x= +5/3i and x= -5/3i.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given expression is 9x²+25

9x²=-25

x²=-25/9

x=√(-25/9)

x=±5/3i

x= +5/3i or -5/3i

Therefore, the set of complex numbers are x= +5/3i and x= -5/3i.

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Answer:

If your trying to find x im pretty sure the ans is 6

Answer:

Change in temperature = - 3.3 F

The temperature has decreased

Step-by-step explanation:

The complete question is attached below .

As given in the attached image

Temperature at 10 A.M [tex]= 1.2[/tex] degree Fahrenheit

Temperature at 3:30 P.M. [tex]= -2.1[/tex] degree Fahrenheit

Change in temperature

= Temperature at 3:30 p.m - Temperature at 10 a.m

= [tex]- 2.1 - 1.2[/tex]

[tex]= - 3.3[/tex] F

The temperature has decreased

Answer:

2p-30

Step-by-step explanation:

10p-40-8p+10

=2p-30

Answer:

3/6       4/8

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

25-8=17 therefore the temp changed by 17

9514 1404 393

Answer:

  D.  y = -3x +4

Step-by-step explanation:

The slope-intercept form is ...

  y = mx + b

where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...

  y = -3x +4 . . . . . matches choice D

Answer:

7 = x^1/2.

Step-by-step explanation:

logx 7 = 1/2

Converting to exponential form ( the value of the log is the exponent and x is the base):

7 = x^1/2

Answer:

12 days.

Step-by-step explanation:

The number of days of frog food the zookeeper has is A = 12 days

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the number of days of frog food the zookeeper has be A

Now , the value of A is

The number of cups of frog food she has = 3 cups

The number of cups of frog food she feed every day = ( 1/4 ) cups per day

Now , the equation is

A = number of cups of frog food she has / number of cups of frog food she feed every day

On simplifying the equation , we get

The number of days of frog food the zookeeper has A = 3 / ( 1/4 )

The number of days of frog food the zookeeper has A = 3 x 4

The number of days of frog food the zookeeper has A = 12 days

Hence , the number of days is 12 days

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Answer:

approx 72 feet

Step-by-step explanation:

the left and bottom sides of the quadrilateral are easy to see that their sum is 15 + 20 or 35

however, from (40, 30) to (45, 40) you can use the distance formula

d = √(y - y)² + (x - x)²

d = √10² + 5²

d = √125 which is approx 11.1

from (20, 40) to (45, 40) you get:

d = √5² + 25²

d = √650 which is approx 25.5

Answer:

I think it's the 3 one if in wrong I'm sorry

Answer:

i think it would be 4x4=8+8=16

Answer:

Following are the solution to the given points:

Step-by-step explanation:

p= amount at any time

then [tex]\frac{dp}{dt}=0.07 p[/tex]

[tex]p=p_0 (1+e^{0.07 t) \\\\[/tex]

[tex]P_0=\ principle \ amount \\\\ interest \ =p-p_0=p_0e^{0.07t}\\\\ p=y\frac{dy}{dt}=0.07y_0[/tex]

at time [tex]= t\ years[/tex]

[tex]\frac{dp}{dt}\\\\c_0=\$ \ 20000\ year\\\\p \to p+dp\\\\ dp=0.07p+c_0[/tex]

y= amount at any times

[tex]\frac{dy}{dt}=0.07y+c_0\\\\dt= \frac{dy}{c_0+0.07y}[/tex]

For point a:

[tex]\frac{dy}{dt}=20000+0.07 y[/tex]

For point b:

[tex]\frac{dy}{20000+0.07 y}=dt\\\\\frac{1}{0.07}|n(\frac{0.07y+20000}{20000})=t\\\\\frac{0.07y}{20000}+1=e^{0.07t}\\\\y=7.1428\times 10^4[e^{0.07t} -1]\\\\y=\frac{20000}{0.07}[e^{0.07t}-1]\\\\[/tex]

For point c:

[tex]y(30)=827391.75[/tex]

Answer:

x = 101°

Step-by-step explanation:

the bottom left angle inside the triangle is supplementary to the angle which measures 148°, so the m∡ is 32°

47 + 32 + x = 180

79 + x = 180

x = 101°

Answer:108xy^3

Step-by-step explanation:

Answer:

Option C) Infinitely many solutions is correct option.

Step-by-step explanation:

We need to solve the equation [tex]5x - 7x + 6 = -2(x - 3)[/tex] and find value of x

The equation can be solved using DMAS rule.

Solving:

[tex]5x - 7x + 6 = -2(x - 3)[/tex]

Multiply -2 with terms inside the bracket

[tex]5x - 7x + 6 = -2x +6[/tex]

Now, we will combine like terms. Like terms are those terms that have same variable. In our case 5x, -7x and -2x are like terms and 6,6 are like terms.

[tex]5x - 7x +2x=-6 +6\\7x-7x=-6+6\\0=0[/tex]

Solving the equation we get 0=0 it means that the solution will have infinitely many solutions, because it will be true for every value of x.

So, Option C) Infinitely many solutions is correct option.

Answer:

  12% or c

Step-by-step explanation:

590/670 = 88.059 rounded to 88

100 - 88 = 12

Answer: c

Step-by-step explanation: 80/670 = ____/100 then cross multiply

Answer:

the answer isto  get a brain idiot

Step-by-step explanation:

yyyh

Answer:

23.5

Step-by-step explanation:

2) 47( 23.5

-46

_______

1

-1

______

0

Answer:23

Step-by-step explanation:47 dvided by 2

2 3

2 4 7

4

0 7

6

1

Answer 1: 5x + 4

Answer 2: 9m + -10y

Step-by-step explanation:

To simplify 3x + 9 + 2x − 5, you have to find the like terms which are 3x and 2x, and 9 and -5. So you get 3x + 2x + 9 - 5 which gives you the result of 5x + 4. Now to simplify 7m + 2 (m − 5y), you have to distribute first, so 7m + (2) (m) + (2) (−5y) which gives you 7m + 2m + −10y. So now you just have to add. 7m + 2m = 9m and then you have -10y so basically the answer is 9m + -10y.

I hope this helps you bro

Answer:

18

Step-by-step explanation:

P = (3+6)*2 = 18

Answer:a

Step-by-step explanation: it follows a proportional rate since on the y it goes up by 5 and on the x it goes by 1

Answer:800

Step-by-step explanation:

add it all up and get your answer

Answer:

The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exterior angles of any polygon sum to 360°

We have: