For a remodeling job, an architect suggested increasing the sides of a square patio by 5 feet per side. This made the new area of the patio 144 square feet. What was the area of the original patio?

Answer:

Multiple the first equation by -1

Step-by-step explanation:

After doing this you add the two equations together and follow the systems of equations as normal

[tex]-3x+-5y=-16\\3x+2y=10\\-3y=-6\\\frac{-3y}{-3} =\frac{-6}{-3} \\y=2[/tex]

Therefore y = 2

Answer:

2

Step-by-step explanation:

haha

Answer:

Continuing from 58: 174, 175

Step-by-step explanation:

The pattern is multiply by 3, and add 1. 6 x 3 = 18, and 18 + 1 = 19. same pattern works for 19 times 3, and 57 times 1. 57 times 3 is 174, then add the 1 to get 175

Answer:

76.1

Step-by-step explanation:

y = ice cream

z = Tempreature

y = 1.8(85) - 76.9

1.8(85) = 153

153 - 76.9 = 76.1

Answer:

76

Step-by-step explanation:

y = 1.8(85) - 76.9

y = 153 - 76.9

y = 76.1

and when you round to the nearest whole number,

y = 76

Answer:

75 small triangles

Step-by-step explanation:

1. Reduce the ratio: 2-6 = 1-3

2. Write each of them as a fraction of a whole:

 Small total = 3/(1+3) = 3/4 of the total amount

3. Multiply the ratio to get the answer: 3/4 * 100 = 75

Answer:

0.7295

Step-by-step explanation:

Given that :

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 9 days will be no more than 3?

n = 9

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

Probabilities are used to determine the chances of events.

The probability that accidents occur no more than 3 days in 9 days is 0.7296

The given parameters are:

[tex]p = 0.3[/tex] --- the probability that an accident occurs

The probability that an accident does not occur (q) is then calculated using the following complement rule

[tex]q= 1 - p[/tex]

[tex]q= 1 - 0.3[/tex]

[tex]q= 0.7[/tex]

The probability that accidents occur no more than 3 days in 9 days is

[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]

Each probability is calculated using:

[tex]P = ^nC_rp^rq^{n-r}[/tex]

So, we have:

[tex]P(x \le 3) = ^9C_0(0.3)^0(0.7)^9 +^9C_1(0.3)^1(0.7)^8 + ^9C_2(0.3)^2(0.7)^7 + ^9C_3(0.3)^3(0.7)^6[/tex]

This gives

[tex]P(x \le 3) = 0.0403 + 0.1556 + 0.2668 + 0.2669[/tex]

[tex]P(x \le 3) = 0.7296[/tex]

Hence, the probability that accidents occur no more than 3 days in 9 days is 0.7296

Read more about probabilities at:

https://brainly.com/question/7965468

Answer:

Downloaded music 1 EACH: $1

Movie 1 EACH: $12

Step-by-step explanation:

4 songs and 1 movie = $16

6 songs and 1 movie = $18

if we minus the two formulas we get:

2 songs = $2

Try it out on the formula, it will work.

$4 + x = $16

x = $12

$6 + $12 = $18

Answer:

The instantaneous velocity at t = 1 will be:

Step-by-step explanation:

Given the position of an object at a time [tex]t[/tex]

[tex]s\left(t\right)=-8-9t[/tex]

As we know that determining the derivative of the position function with respect to time t would give us the instantaneous velocity, so

[tex]\frac{ds}{dt}=\frac{d}{dt}\left(-8-9t\right)[/tex]

Applying the sum/difference rule:

[tex]\left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]\frac{ds}{dt}=-\frac{d}{dt}\left(8\right)-\frac{d}{dt}\left(9t\right)[/tex]

as

[tex]\frac{d}{dt}\left(8\right)=0[/tex]    ∵ [tex]\frac{d}{dx}\left(a\right)=0[/tex]

and

[tex]\frac{d}{dt}\left(9t\right)=9[/tex]   ∵ [tex]\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'[/tex]  and [tex]\frac{d}{dt}\left(t\right)=1[/tex]

so the expression becomes

[tex]\frac{ds}{dt}=-\frac{d}{dt}\left(8\right)-\frac{d}{dt}\left(9t\right)[/tex]

   [tex]=-0-9[/tex]

   [tex]=-9[/tex]

As the derivative is constant.

Therefore, the instantaneous velocity at t = 1 will be:

Answer

look at the pic below

Step-by-step explanation:

Answer:

I can’t really answer this because you didn’t show a picture. Here’s a thought though. Look up a shape chart on google and work from there. Hope this helps you out

Answer:

120+ 4(square root)15

120+15.49=135.49

135.49 is the perimeter

The perimeter of the triangle having two angles 60 degrees, 60 degrees, and one side [tex]4\sqrt{15}[/tex] is, [tex]12\sqrt{15}[/tex] or 46.47

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

the triangle having two angles 60 degrees, 60 degrees,

and one side

It is known that, total sum of all the angles of triangle is 180°

A = 60°

B = 60°

C = ?

A + B + C = 180°

60° + 60° + C =  180°

C =60°

Hence, it is a equilateral triangle

And for equilateral triangle length of all sides are equal

a =  [tex]4\sqrt{15}[/tex]

b =  [tex]4\sqrt{15}[/tex]

c =   [tex]4\sqrt{15}[/tex]

Perimeter =  [tex]4\sqrt{15}[/tex] +  [tex]4\sqrt{15}[/tex] +  [tex]4\sqrt{15}[/tex]

Perimeter = 12√15

So, the perimeter is 12√15

To know more about Perimeter check:

https://brainly.com/question/6465134

#SPJ1

Answer:

Man I wish I knew

Step-by-step explanation:

Answer:

The first answer is not helpful at all

Answer:

b

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

60% 0f 30 is 18

D. 18

Answer:

5(9)+20

Step-by-step explanation:

5(9+4) can be expanded to get 5(9)+5(4). And 5(4)=20.

Answer:

Option D

Step-by-step explanation:

This will seem weird but all you are is doing distrubitive property.

Replace w with nine and you have this.

Step 1 (Replace/Substitute)

5(9 + 4)

5(9) + 20

We distribute the five to the numbers in the parentheses. Or we multiply 5 to the other numbers within the parentheses.

Thus, D is your answer.

Answer:

8x^2-6a+9b+14

Step-by-step explanation:

P=(12a^2 + 5a + 9b + 16)

(4a^2 + 9a - 8)+ (2a + 2b + 10) +(x)= (12a^2 + 5a + 9b + 16)

(4a^2+11a+2)+(x)=(12a^2 + 5a + 9b + 16)

subtract (4a^2+11a+2) from both sides

x= 8x^2-6a+9b+14

Answer:

ello luv

Step-by-step explanation:

Answer:

14 meters long

Step-by-step explanation:

if a 8 meter tree is casting a 6 meter shadow you add 2 meters from the orginal tree you want to measure.

12 meters +2 meters = 14 meters

Answer:

ypu can do this by using this please vote

Answer:

62

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I looked it up. Hope this helps

Answer:

its 4 or -4

Step-by-step explanation:

I used  The Using the slope-intercept

Answer:

9 is your answer. It's a simple equation.

Answer:

[tex]Y' = (-2, 4\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]Y = (-3,7)[/tex]

[tex]Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)[/tex]

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

[tex]Y' = Scale\ Factor * Y[/tex]

For, the x coordinates.

[tex]Y' = \frac{2}{3}x[/tex]

Where

[tex]x = -3[/tex]

[tex]Y' = \frac{2}{3} * -3[/tex]

[tex]Y' = \frac{-6}{3}[/tex]

[tex]Y = -2[/tex]

For the y coordinates:

[tex]Y' = \frac{2}{3}y[/tex]

Where

[tex]y = 7[/tex]

[tex]Y' = \frac{2}{3} * 7[/tex]

[tex]Y' = \frac{14}{3}[/tex]

[tex]Y' = 4\frac{2}{3}[/tex]

Hence:

[tex]Y' = (-2, 4\frac{2}{3})[/tex]

Answer:

x=7 A=41

Step-by-step explanation:

You do 180-69=111. You know that 11x-7 goes inside and then you do 11x-7+4x+13=111. You get x=7. Multiple 4x7=28+13=41

Number 3's answer: $2.89 per box

Explanation: take the total cost divided by the number of cereal boxes. $43.35÷15=$2.89 per box

Number 4's answer: 2.45

Explanation: number of points divided by minutes=points per minute. 98÷40=2.45 point a minute.

Number 5's answer:$0.89

Explanation:total cost of bananas divided by pounds=cost per pound. $1.89÷2.25 (2 1/4) =$0.89

Hope this helps

Answer:

3

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 14) and (x₂, y₂ ) = (1, - 2)

m = [tex]\frac{-2-14}{1-5}[/tex] = [tex]\frac{-16}{-4}[/tex] = 4

Answer:

Hungary

Step-by-step explanation:

Just did the question

Answer:

Hungary

Step-by-step explanation:

just did it.

Answer:

23

Step-by-step explanation:

supplementary angles: 180-85 = 95

95 = 5x-20 ( i forgot the name of the rule, something relating to same side interior angles i think)

115 = 5x

23= x

hope that helped

Answer:

add all of the # and that is your thing

Step-by-step explanation:

Answer:

£234.36

Step-by-step explanation: