Carley can mow the lawn in 5 hours. When Carley and her dad work together, they can do it in 2
hours. How long does it take Carley's dad to mow the lawn?

Answers

Answer 1

The time it will take Carley's dad to mow the lawn is 3.3 hours.

What is rate?

Rate is the ratio between two related quantities in different units. Therefore,

The rate Carley do the  lawn = 1 / 5

When they work together they do it the 1 / 2 rate.

Therefore,

let

the hours it takes Carley dad = x hours . Therefore,

1 / 5 + 1 / x  = 1 / 2

x + 5/ 5x = 1 / 2

cross multiply

2(x + 5) = 5x

2x + 10 = 5x

10 = 5x - 2x

10 = 3x

x = 10 / 3

x = 3.3 hours

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Related Questions

Nancy spends 1/3 of her monthly salary on rent, 0.1 on her car payment, 1/12 on food, and 20% on the bills. She has $680 left for other expenses. What is Nancy's monthly salary?

Answers

Answer:

have a good day

Step-by-step explanation:

rump 2020

Two sides of an isosceles triangle have lengths 12 and 18. What
is the greatest possible value of the perimeter of the triangle?

Please help me.

Answers

The greatest possible value of the perimeter of the triangle is 48

What is the perimeter of a triangle?

The perimeter of a triangle is the sum of the lengths of the three sides of the triangle.

An isosceles triangle has 2 equal sides and the length of the 2 sides must be greater than the length of one.

Perimeter A= 12×2+18=42

Perimeter B= 12+18×2=48

Therefore the greatest possible perimeter of the triangle is Perimeter B (48) since the sum of lengths of the two equal sides(18) is greater than the third side (12) and 48 is greater than 42.

Please read more about perimeter of triangle here:

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Which value would make the inequality 4.5d > 31.5 true?
A. d=8
B. d=7
C. d=6
D. d=5

Answers

Answer:

d=8

Step-by-step explanation:

4.5(8)>31.5 works because 36>31.5

Find the solution to the set of equations.
2x + 1 = y
4x + 2 = y

Answers

Answer:

(-1/2. 0)

Step-by-step explanation:

Given

y = 2x + 1 [correct form of writing a linear equation!]y = 4x + 2

Solving for x

Equate both values of y to find the value of x⇒ 2x + 1 = 4x + 2⇒ 2x = -1⇒ x = -1/2

Solving for y

Plug the values of x into one of the equationsy = 4(-1/2) + 2y = -2 + 2 = 0

Solution

(x, y)(-1/2. 0)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required solution set is :

[tex]\qquad \sf  \dashrightarrow \:( - \frac{1}{2} ,0)[/tex]

See the attachment for solution ~

center and the radius please!

Answers

Answer:

the center is (-2,4) and the raduis is 3

Step-by-step explanation:

For equations of circles, the center will be the inverse of the euation. for example. If the equation had (x+3)^2 and (x-4)^2 the center is (-3,4).

And for the raduis of a circle equation it is always r^2. Since the 9 is in place, 3^2 is just 3x3 = 9.

I hoped this helped, would appreciate if you marked brainliest!

a equilateral triangle has a perimeter of 21x + 9 what is the length of each side of the triangle?(hint: factor the perimeter)​

Answers

Answer:

[tex]7x + 3 \\ [/tex]

Step-by-step explanation:

All sides in an equilateral triangle are equal so factor out three and you are left with the length of each side.

[tex]3(7x + 3)[/tex]

35.99 divided by 15.6

Answers

Answer:

around 2.31

Step-by-step explanation:

because you will get 2.307 if you put it in a calculator then you can round it to 2.31

A scale says that it's readings are accurate to within 1%, meaning that when an object
is weighed using that scale, the reading will have an error of at most 1%.
Gillian puts a math textbook on a scale, and the scale reads 1,999.8 grams. What is
the difference between the maximum and minimum possible values for the textbook's
actual weight?

Answers

Answer:

Step-by-step explanation:

well, 1% of 1999.8=19.998, so it would be + - 1,999.99

Mary wants to buy a sewing machine, she can buy it for $315 cash, or on hire purchase for $25 down payment and 12 monthly instalments of $27. 50. How much more will Mary have to pay on hire purchase?

Answers

Answer:

She will pay $40 more.

Step-by-step explanation:

I used the equation y=27.50x + 25 to find this out and made x = 12 to represent how many months she is paying.

now putting x into the equation, y = 27.50(12) + 25

First i did the multiplication, 27.50 x 12 = $330.

Then I added 25 to 330 for the down payment, 330 + 25 = 355

I then did 355 - 315 to find out how much more you would pay,

355 - 315 = $40

Hope this helps!

Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find the temperature in degrees Celsius if the temperature is 86°F. What is the temperature in degrees Celsius?

WRITEN RESPONE

Answers

Answer:

30°C

Step-by-step explanation:

The Conversion Formula :-

F - 32 / 9 = C / 5

F is given to be 86.

Substitution

86 - 32 / 9 = C / 554 / 9 = C / 5C = 6 x 5C = 30°C

Answer:

Sample Response: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C.

Step-by-step explanation:

Each letter in this equation represents a unique digit. If U stands for 8 and the
other numbers used are 1 through 4, what is one possible answer?

Answers

Answer:

4x2=8

Step-by-step explanation:

This equation is simple and easy cause its base sick math

HELP!!! The diameter of a circular wall hanging is 4 ft. What is the area of the wall hanging to the nearest tenth? Use 3.14 for π.
A: 3.1 ft2
B: 12.6 ft2
C: 9.4 ft2
D: 6.3 ft2

Help it’s do in 5 minutes

Answers

Answer:

B

Step-by-step explanation:

Area of circle= πr²

Start by finding the radius:

Diameter= 2(radius)

4= 2(radius)

radius= 4 ÷2

radius= 2 ft

Area of circular wall hanging

= 3.14(2²)

= 3.14(4)

= 12.56

= 12.6 ft² (nearest tenth)

Thus, option B is correct.

Which lines are parallel?

Answers

red and green

they go in the same direction, side by side, and will never touch

Complete the table
I WILL MARK BRAINLIEST AND GIVE THANKS

Answers

Answer:

Step-by-step explanation:

hours              Cost

  0                   $15

   1                    $15 + 2.50 = $17.50

   2                    $15 + 2.50(2) = $15 + 5 = $20

   3                     $15 + 2.50(3)= $15 + 7.50 = $22.50

   4.                     $15 + 2.50(4)= $15 + 10 = $25

HELPPPPPPPPP!
Wanda spun a spinner 30 times, and the results were recorded in the following tally chart

Answers

Answer:

30%

Step-by-step explanation:

So she spun the spinner 30 times so we divide the number of times she got solid by the 30 to get the answer in a percentage :)

9/30 = 0.3

Now we multiply the 0.3 by 100 to get it as a percent!

0.3 x 100 = 30%

Now you know how to find the probability of an object!

Have a great day!!

Please rate and mark brainliest!!

Answer:  3/10

Explanation:

Count the tally marks for the "solid" in the middle row. The first portion is a group of 5 as shown by the slash mark. The second portion of that row is one short of five, so it's another 4 tallies. Overall, we have 5+4 = 9 tallies for the "solid".

This is out of 30 spins total. Therefore, we arrive at 9/30 = (3*3)/(3*10) = 3/10

Traveling at a speed of 12 mph, Jen biked home in 20 minutes. What was Jim's speed
if he biked the same distance in 15 minutes?

Answers

The speed of Jim if he biked the same distance in 15 minutes is 16 mph

What is speed ?

Speed is the distance covered at a particular time. Therefore,

speed = distance / time

The distance in the first journey can be calculated as follows:

speed = 12 mph

time = 20 minutes  = 0.3333 hours

12 = x / 0.333

distance = 0.333 × 12 = 3.9996 miles

Therefore, the speed of Jim if he biked the same distance in 15 minutes can be calculated as follows:

15 minutes = 0.25 hours

speed = 3.9996 / 0.25

speed = 15.9984

speed = 16 mph

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Answer:

The speed of Jim if he biked the same distance faster than Jen. In 15 minutes is 16 mph is Jim’s speed

Step-by-step explanation:

Ramer and knox began a partnership by investing $64,000 and $94,000, respectively. the partners agreed to share net income and loss by giving annual salary allowances of $52,000 to ramer and $41,600 to knox, 10% interest allowances on their investments, and any remaining balance shared equally. (enter all allowances as positive values. enter losses as negative values.) required: 1. determine each partner's share given a first-year net income of $102,800. 2. determine each partner's share given a first-year net loss of $20,800.

Answers

Each partner's share given a first-year net income of $102,800 is $-3,300.

Each partner's share given a first-year net loss of $20,800 is $-44,300.

What is each partner's share?

Partner' share = net income / loss - interest - salary salary allowance

Interest = ($64000 x 10%) + ($94000x 10%) = $15,800

Salary = $52,000 + $41,600 = $93,600

Share of net income = [$102,800 - (15,800 + 93600)] / 2  = $-3,300

Share of net loss = [-20,800 - (15,800 + 93600)] / 2 = $-44,300

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Name the postulate that proves these two triangles congruent.

Answers

Answer:

the postulate that proves these two triangles congruent is AAA or angle angle angle.

will give brainliest!!!

Answers

Remember your order of operations

P.E.M.D.A.S

P.arenthesis
E.xponents
M.ultiplication
D.ivide
A.dd
S.ubtract

[(40+5)-3^2]/9*2
[45-3^2]/9*2
[45-9]/9*2
36/9*2
36/18
2

The last selection 2 is your answer.

I hope this helps and is the BRAINLIEST!!

Good luck with your studies!!

Answer:

2 is the answer

i used pemdas/ order of operations

Step-by-step explanation:

Hello people ~
The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of rhombus in length is:

(a) 20 cm

(b) 8 cm

(c) 10 cm

(d) 9 cm

Answers

Answer:

(c) [tex]\displaystyle 10\:cm.[/tex]

Step-by-step explanation:

Split each diagonal in half and use the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = c^2 \hookrightarrow 64 + 36 = c^2 \hookrightarrow \sqrt{100} = \sqrt{c^2} \\ \\ \boxed{10 = c}[/tex]

I am joyous to assist you at any time.

Diagonals of a rhombus are perpendicular to each other .

Perpendicular=P=16/2=8Base=B=12/2=6

We need Side

Hypotenuse=H

Use Pythagorean theorem

[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=6^2+8^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=10^2[/tex]

[tex]\\ \rm\rightarrowtail H=10cm[/tex]

Is ABC~ DEF? If so, identify the similarity postulate or theorem that applies.

Answers

Answer:

a

Step-by-step explanation:

i hope it helps

*correct me if im wrong

Multiply the following fractions. Reduce your answer to lowest terms.

1/8 x 1/9 =

Answers

Answer:

1/72

Step-by-step explanation:

multiple the numerators and denominators by each other so 1*1 = 1 and 8*9 = 72

In the parallelogram shown, find the measure of ∠A.

Answers

Answer: 40 degrees

Step-by-step explanation:

The length of one leg of an isosceles right triangle is 3 ft. what is the perimeter of the triangle? 3 3 startroot 2 endroot ft 3 3 startroot 3 endroot ft 6 3 startroot 2 endroot ft 6 3 startroot 3 endroot ft

Answers

The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft


What is an isosceles right angled triangle?

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.

Referring to the figure, assuming:

Both equal sides are of length 'a' feetThe unequal side is of the length 'b' feet.

Using the Pythagoras theorem, we get:

[tex]a^2 + a^2 = b^2\\\\a = b/\sqrt{2}[/tex]

It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.

Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]

Thus, perimeter of the triangle as:

[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]

Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft

Learn more about Pythagoras theorem here:

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Answer:

    C    :    6 + 3√2 ft

Step-by-step explanation:

it is right

trust me

Specific gravity will tell you a fraction of how much
object will be below the water while its floating. For
instance, ice has density of 0.92 g/ml so its specific gravity
0.92, what does 0.92 indicate?

Answers

The value 0.92 indicates the relative density of the ice.

Data;

Density = 0.92g/mlSpecific gravity = 0.92

Specific Gravity

Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.

mathematically;

[tex]relative density = \frac{density of substance}{density of reference}[/tex]

The value 0.92 indicates the relative density of the ice.

Learn more on specific gravity here;

https://brainly.com/question/14932758

PLS HELP WILL GIVE BRAINLIEST :)

Answers

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

determine the distance travelled by the car during this time D =(2m x t2)/2​

Answers

Answer:

D = 2mt

Step-by-step explanation:

D = (2m × 2t)/2

[tex] \sf \: d \: = \frac{2m \times t(2)}{2} [/tex]

[tex] \rightarrow \: \sf \: d = \frac{2m \times 2t}{2} [/tex]

[tex] \rightarrow \: \sf \: d = \frac{4mt}{2} [/tex]

[tex] \rightarrow \: \sf \: d = 2mt[/tex]

~Done~

------

Which statement can be represented by the equation 2/5
x+9=9?

Two-fifths of nine is a number.
Two-fifths of a number is nine.
Nine more than two-fifths of a number is nine.
A number plus nine is the same as two-fifths of nine.

Answers

Answer:

Nine more than two-fifths of a number is nine.

Step-by-step explanation:

we know that the total will be 9, and that 2/5x is equivalent to 2/5 of a number (so it should be 2/5n) and we are adding 9 more.

23
Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.

Answers

Answer:

A makes 10 parts in 1 hour

B makes 4 parts in 1 hour.

then,

A makes 120 parts in a hour.

B makes 48 parts in a hour

Hope this helps!

Mark Brainlest!!!!!

Step-by-step explanation:

PLEASE HELP! Will Give brainliest!

Answers

Answer:

1

Step-by-step explanation:

definite integral from 0-2 of root x dx

root x = x^½

integral of x^½ = ⅔x^(3/2)

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