The ratio of the perimeter of a square to the length of a rectangle is 5:6.
The ratio of the length to the width of the rectangle is 3:2.
The perimeter of a rectangle is 60cm.
Find the area of the square.​

Answer:

(AD)^2=(AB)^2-(BD)^2

(AD)^2=(15)^2-(12)^2

(AD)^2=225-144

AD=√81

AD=9.

Answer:

24

Step-by-step explanation:

Given the direction required to solve the problem :

multiply the whole number and the numerator.

Once you find the product divide that by the denominator

Simplify :

64 divided by 3/8

Multiply 64 by the numerator of the fraction :

64 * 3 = 192

Divude the result by the denominator of the fraction :

192 / 8 = 24

Hence, 64 * 3/8 = 24

Answer:

x can = anywhere from 8 to infinite because x has to be greater than 8 at least  

Step-by-step explanation:

Answer:

They subtracted by 4 not divided (And you spelled the wrong) and answer is

x = 5

Step-by-step explanation:

Answer: the error is the 2nd step. the solution is 5

Step-by-step explanation:

4x-3=17

   +3   +3

4x/4 = 20/4

x=5

                              hope that helps!!!:):)

9514 1404 393

Answer:

  no, the relationship is not proportional

Step-by-step explanation:

The table says Brianna crocheted 19 inches in 10 minutes. If the relation were proportional, Brianna would have crocheted 5×19 = 95 inches in 5×10 = 50 minutes. Her actual length is only 23 inches, so length is not proportional to time.

Answer:

On average, the number of breakdowns per day varies from the mean by about 0.28.

Step-by-step explanation:

Answer:

13/12

Step-by-step explanation:

Answer:

A relation is...

A set of points that pair input values with output values.

Is the following graph a function?

Yes

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{2} x+1[/tex]

Step-by-step explanation:

[tex]y=mx+b\\\\-8=\frac{3}{2} (-6)+b\\\\-8=-9+b\\\\b=1\\\\y=\frac{3}{2} x+1[/tex]

Answer:

The actual answer is C

Step-by-step explanation:

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex]

First, change 2 [tex]\frac{1}{3}[/tex] into an improper fraction. It will make the solving process a lot easier.

2 [tex]\frac{1}{3}[/tex] = [tex]\frac{7}{3}[/tex]

So:

[tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]

Now solve by multiplying the reciprocal of [tex]\frac{7}{3}[/tex] which is [tex]\frac{3}{7}[/tex]

So:

[tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] = [tex]\frac{12}{49}[/tex]

The value of 4/7 divided by 2 1/3 as requested in the task content is; 12/49.

According to the task content, the value of the expression is required.

4/7 ÷ 2 1/3

By fraction conversion, we have;

4/7 ÷ 7/3

= 4/7 × 3/7

= 12/49.

Read more on division;

https://brainly.com/question/1622425

#SPJ2

Answer:

(b) t+82=36

Step-by-step explanation:

When 82 is added to a number the resulting number is the same as 36.

Let t be the number in which 82 is added.

After addition the resulting number = t+82

As the resulting number is the same as 36, so,  

t+82 = 36

Hence option (b) is correct.

Answer:

x=7

Step-by-step explanation:

3(2x - 5) = 9(10 - x)

6x-15=90-9x

6x+9x=90+15

15x=105

x=7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

First, we need to expand the brackets:

[tex]3(2x-5)=9(10-x)[/tex] (equation given)

[tex]6x-15=90-9x[/tex]

[tex]15x -15 = 90[/tex] (add [tex]9x[/tex] on both sides)

[tex]15x = 105[/tex] (add [tex]15[/tex] on both sides)

[tex]x = 7[/tex] (divide by [tex]15[/tex] on both sides)

Hope this helps :)

Answer:

5 m/s^2

Step-by-step explanation:

Force = mass x acceleration

f = ma

We have the force of 10 N and the mass of 2 kg.

10 N = 2 kg a

divide by 2 on both sides to isolate the a

a = 5 m/s^2

Answer:

[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]

Step-by-step explanation:

The formula for force is:

[tex]F=m*a[/tex]

If we rearrange the formula for acceleration (a) and divide both sides by m we get:

[tex]\frac{F}{m}=a[/tex]

The net force is 10 Newtons. Let's convert the units to make the problem easier later on.

The mass is 2 kilograms.

[tex]F=10 \ kg*m/s^2\\m= 2 \ kg[/tex]

Substitute the values into the formula.

[tex]\frac{10 \ kg*m/s^2}{2 \ kg} =a[/tex]

Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)

[tex]\frac{10 \ m/s^2}{2}=a[/tex]

[tex]5 \ m/s^2=a[/tex]

The acceleration of the box is 5 meters per second squared.

Answer:

so cant help

Step-by-step explanation:

Answer:

43˚

Step-by-step explanation:

As you may know, a triangle angle should always add up to 180˚ so 68˚ and 69˚ added together is 137˚ subtract that by 180 and you will get 43 which is the answer

Hope this helps!

Answer:

hm

Step-by-step explanation:

m

Answer:

Probability is 0.243

Step-by-step explanation:

Probability of success p = 76% = 76/100 = 0.76

Probability of failure q = 1 - p = 1-0.76 = 0.24

We can now proceed to use Bernoulli approximation of the Binomial theorem

We have

P( X = 7) = 10 C 7 p^7 q^3

P(X = 7) = 120 * 0.1465 * 0.013824

P(X = 7) = 0.242946203712

This is approximately 0.243

Answer:

0.243

Step-by-step explanation: if you stop to count step by step you will get your answer of 0.243

Answer:

Step-by-step explanation:

For this equation you want to start with signing the equation for the best line of fit. You’re going to take your year in and your rabbitsFrom the table and you’re going to find the slope in the Y intercept which would be your MX and you’re B. If you used as most you want to pull up a table in the graphing calculator and into your data there when you get there and the next box under your table you’re going to put y1~mx1+b There it will show you your slope and your intercept along with other things you will need to know for the equation when you get here sleeping when you said you’re going to round to the second decimal place and then you should get y=8.2x-16451.3 Which will be your best line of fit. Now when you’re trying to estimate the number rabbit at the farm In 2016 you want to put your year where X is so you’ll input your 2016 where x is and you should get 8.2(2016)-16451.3From there you solve it and you’re around to the second decimal space and there you have your just wanna sit and your estimate

Answer:

Estimate.

18,185 + 493 = 20,000 + 500 = 25,000

Step-by-step explanation:

18,185 + 493

18,185 rounded to the nearest ten thousand is 20,000

493 rounded to the nearest hundred is 500

Answer:

Please check the explanation below.

Step-by-step explanation:

Given the equations

[tex]6x+18y+6z=24,\:-x-3y-2z=-4,\:2x+6y+2z=8\:\:[/tex]

Steps to solve

[tex]\begin{bmatrix}6x+18y+6z=24\\ -x-3y-2z=-4\\ 2x+6y+2z=8\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}x=4-3y-z[/tex]

[tex]\begin{bmatrix}-\left(4-3y-z\right)-3y-2z=-4\\ 2\left(4-3y-z\right)+6y+2z=8\end{bmatrix}[/tex]

As

[tex]-\left(4-3y-z\right)-3y-2z=-4[/tex]

[tex]-z-4=-4[/tex]

and

[tex]2\left(4-3y-z\right)+6y+2z=8[/tex]

[tex]8=8[/tex]

so

[tex]\begin{bmatrix}-z-4=-4\\ 8=8\end{bmatrix}[/tex]

Isolating z for [tex]-z-4=-4[/tex]

[tex]-z-4=-4[/tex]

[tex]-z=0[/tex]

[tex]\frac{-z}{-1}=\frac{0}{-1}[/tex]

[tex]z=0[/tex]

[tex]\mathrm{For\:}x=4-3y-z[/tex]

[tex]\mathrm{Expressing\:}x\mathrm{\:in\:terms\:of\:}y[/tex]

[tex]x=4-3y-0[/tex]

[tex]x=-3y+4[/tex]

Therefore,

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-3y+4,\:z=0[/tex]

Answer:

Step-by-step explanation:

to ez its =12

Answer: 3/10

Step-by-step explanation:

2/7= 20/70

3/10= 21/70

Answer:

0.94secs

Step-by-step explanation:

Given the function below that models the distance of the softball from the ground in meters after t seconds expressed as;

h(t)=-4.9t^2+5t+9

The ball hits the ground when the height h(t) is zero

Substitute h(t) = 0 into the expression and calculate the value of t;

0 = -4.9t²+5t+9

Multiply through by 10;

0 = 49t²+50t+90

-49t²+50t+90 = 0

Factorize;

t = -50 ±√50²-4(49)(90)/2(49)

t = -50±√2500+17640/98

t = -50±√20140/98

t = -50+141.92/98

t = 91.92/98

t = 0.94 secs

Hence it takes 0.94secs for the softball to hit the ground

Answer:

C

Step-by-step explanation:

got it right

Answer:

an item marked down 20% to $9.60

Took it on edge Have a splendid day <3

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the conversion rate for both banks is not given.

However, I'll make the following assumptions.

Bank A: $80 for 392 stellars

Bank B: $50 for 240 stellars

Solving (a) Bank with better conversion rate.

First, we need to calculate the unit rate.

Unit Rate = Dollar/Stellar

For Bank A:

Unit Rate = 392/80

Unit Rate = 4.9 Stellars to $1

For Bank B:

Unit Rate = 240/50

Unit Rate = 4.8 Stellars to $1

The bank with higher unit rate has a better exchange rate.

Hence, bank A has a better exchange rate.

Solving (b): How much more will he get if $1200 is exchanged

For Bank A:

$1 = 4.9 Stellars

Multiply both sides by 1200

$1 * 1200 = 4.9 * 1200 Stellars

$1200 = 5880 Stellars

For Bank B:

$1 = 4.8 Stellars

Multiply both sides by 1200

1200 * $1 = 4.8 * 1200 Stellars

$1200 = 5760 Stellars

Calculate their difference

Difference = 5880 - 5760

Difference = 120 Stellars

Hence, he'll get 120 more Stellars if he exchanged with bank A.

Answer:

The equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

Step-by-step explanation:

We know the equation of exponential function such as

[tex]f(x) = ab^{x}[/tex]

Put x=0, and y=2 in the function

[tex]2 = ab^{0}[/tex]

[tex]2 = a[/tex]

Also x=1, and y=8 in the function

[tex]8 = 2b^{1}[/tex]

[tex]b=4[/tex]

Thus,

[tex]f(x) = ab^{x}[/tex]

        [tex]= 2(4)^{x}[/tex]

Therefore, the equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]