1 Solve for the unknown variable:

Answer:  16 1/4 minutes

Step-by-step explanation:

Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.

We are told that A = 30 min/lawn.  B = 45 min/lawn.  These are conversion factors, so we can invert them to:

A =  1 lawn/30 min.  B = 1 lawn/45 min

If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:

X*(A + B) = Lawn Mowed

We want to know the time, X, it would take to mow the same 1 lawn together.  [Lawn Mowed = 1].  Use the equation:

X*(A + B) = Lawn Mowed

X*((1 lawn/30 min) + (1 lawn/45 min)) = 1

X/(30 min) + X/(45 min) = 1

X/30 + X/45= 1

X + X(30/35) = 30  {Multiply both sides by 30]

(1 + 30/35)X = 30

(65/35)X = 30

X = 30*(35/65)

X = 30/(7/13)

X = 30*(7/13)

X = 210/13

X =  16 1/4 minutes

Answer:

-2r = 2 - Subtract 11 from both sides

r = -1

Slope = (y₂ - y₁)  ÷  (x₂ - x₁)

          =  (-85 - (-83)) ÷  (-11 - 75)

          =  -2 ÷ -86

          = ¹/₄₃

Checking my answer:

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.

                               ⇒  y - (-83) =  ¹/₄₃ (x - 75)

                               ⇒     y + 83 =  ¹/₄₃ (x - 75)

 I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.

7/40 written as a decimal is 0.175

The answer is 0.175 So easy

Answer:

(serial number, model number)Step-by-step explanation:

Answer:

thirty-first ordinal. being or denoting a numerical order in a series.

Step-by-step explanation:

Answer:

40meters

Step-by-step explanation:

rectangular park has 90 degree at vertex.so

in that right angled triangle

we have,

length=base=80meters

breadth=perpendicular=60

diagonal=hypotenuse=?

now,

h^2=p^2+b^2

h=square root under 80^2+60^2

h=square root under 6400+3600

h=square root under 10000

h=100

Again,

around root =80+60=140

daigonal=100.

so

the route is 140-100=40meters shorter

Answer:

probably 2.............

Answer:

1) 18/30×100%=60%

Hope this helps!!!

Answer:

See below

Step-by-step explanation:

Hi there!

Question 1

There are 30 students in total and 18 are girls, making 18/30 of the class girls. To express this as a percent, divide, then multiply by 100:

18/30 = 0.6

0.6 × 100 = 60%

Therefore, 60% of the class is girls.

Question 2

There are 7 colours in the rainbow, making blue 1/7 of the colours of the rainbow.

Therefore, the probability of choosing blue from the colours of the rainbow is 1/7.

I hope this helps!

Answer:-2x < 10.

Step-by-step explanation:

Answer:

A) 23

Step-by-step explanation:

Let's divide the total number of cupcakes by the different option choices, and see what works and what doesn't:

A) 23/ 23 = 1

   This works, everyone will get one cupcake

B) 23 / 12 ≈ 1.91666667

   This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party

C) 23 / 6 ≈ 3.8333334

   This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party

D) 23 / 12 ≈ 5.75

   This doesn't work, we have a decimal / remainder, while this is a nicer remainder, it still is incorrect

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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Explanation:

Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]

It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.

Answer:Yea looks like you have it already C

Step-by-step explanation:

Step-by-step explanation:

Answer:

The answer is 64

Step-by-step explanation:

When you are dealing with exponents you have to multiply the main number as many times as the exponent number. [tex]4^{3}[/tex]

In this case, you multiply 4 three times

[tex]4*4 = 16\\16*4=64[/tex]

Answer:

Step-by-step explanation:

The blanks get filled in like this:

Statement 3: m∠6 +m∠4 = 180°

Reason 3: Consecutive interior angles are supplementary

Statement 4: m∠6 +8·m∠6 = 180°

Statement 5: m∠6 = 20°, m∠4 = 160°

_____

You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.

The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...

  8·m∠6 = m∠4

This is the substitution that is used in statement 4.

Simplifying that statement gives 9·m∠6 = 180°   ⇒   m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.

Answer:

-1

1

7

-3

Step-by-step explanation:

Answer:

u cant be marked

Step-by-step explanation:

u cant be marked

Solving a linear equation we can see that Paxton was a member for 5 months.

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

Learn more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

yes it does belong on pizza

15% of $18 is $2.70...........

Answer:

[tex]p = - 5 {x}^{2} + 1000x + 5000 \\ 5500000 = - 5 {x}^{2} + 1000x + 5000 \\[/tex]

solve for x

Step-by-step explanation:

55,000,00=-5x²+1000x+5000

collect like terms

5x²-1000x= -55,000,00+5000

5x²-1000x = -45000

x²=-45000/5=-9000

x²=square root of 9000=3000

recall

5x²-1000x=3000

-1000x=3000

divide both side by coefficient of x

x= -3

Answer:

2:5

Step-by-step explanation:

6 circles : 9 triangles.

Solving for ratio of circles and total

6 circles: 15 shapes ( added 6 and 9 )

thus this can reduce to

2:5 <-- by 3 ( 3*2=6) and (3*5=15)

Leave a comment if this doesn't make sense ;)

Answer:

8(3x + 1)

Step-by-step explanation:

8 and 24 are multiples of 8

(8/8) + (24x/8) = 1 + 3x

The equation with distributive property is 8(1 + 3x)

-Chetan K

Answer:

7

Step-by-step explanation: u get 14 by multiplying 2 and 7 and u get 21 by multiplying 7 times 3

[tex]14 = 7 \times 2 \\\\21 = 3 \times 7\\\\GCF = 7[/tex]

15 students are yet to return for the face to face classes

Given the following parameters

Total number of students in Esteban's classroom = 28 students

If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6

People that are yet to return  = 28 - 12.6

People that are yet to return  = 15.4

This shows that about 15 students are yet to return for the face to face classes

Learn more here: https://brainly.com/question/19914553

Answer:

sorry I don't know the answer

Answer:

805, 835, 865, 885

Step-by-step explanation:

divided into 20 parts

900-800=100

100/20=5

each part is 5

first one is 1 part away from 800

800+5=805

second one is 7 away from 800

800+7*5=835

third one is 7 away from 900

900-7*5=865

fourth one is 3 away from 900

900-3*5=885

Answer:

Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,

= 900 - 800

= 100

Finding the value of 1 vertical line.

➝ 1 line = 100

➝ 1 line = 100/20

➝ 1 line = 5

Hence, 1 line = 5

Finding part 1 :

➝ 800 + (1 × 5)

➝ 800 + 5

➝ 805

Finding part 7 :

➝ 800 + (7 × 5)

➝ 800 + 35

➝ 835

Finding part 13 :

➝ 800 + (13 × 5)

➝ 800 + 65

➝ 865

Finding part 17 :

➝ 800 + (17 × 5)

➝ 800 + 85

➝ 885

Hence, the answer is 805, 835, 865, 885.

Answer:

$1,344 is her total.

Step-by-step explanation:

0.2 x 1120 = 240 + 1120