A boy is mowing a rectangular lawn 40ft long and 30ft wide. He has cut all of it except for a rectangle that is 20ft long and 15ft wide. What fractional part of the lawn remains uncut?

Mercury has the greater density than that of Venus .

Answer:

mercury has higher density than venus

I hope this helps you

A=1/2.b.h

given Area is 24 and base is 8

24=1/2.8.h

24=4.h (divide 4 both of sides)

h=6 (height)

Answer: 12,620,256

Step-by-step explanation:

Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.

Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is [tex]^{n+r-1}C_r=\ ^{31+8-1}C_{31}[/tex]

[tex]=^{38}C_{31}=\dfrac{38!}{31!(38-31)!}\\\\=\dfrac{38!}{31!7!}\\\\=\dfrac{38\times37\times36\times35\times34\times33\times32\times31!}{31!\times5040}\\\\=12620256[/tex]

Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256

Answer:

$799.92

Step-by-step explanation:

To find his pay, multiply the number of hours he worked by his pay per hour:

22.22(36)

= 799.92

So, his pay was $799.92

Answer:

10

Step-by-step explanation:

4 1/2 + 5 1/2= 4+5+1/2+1/2=4+5+1=10

Answer:

Step-by-step explanation:

[tex]4\frac{1}{2}+5\frac{1}{2}\\\\\mathrm{Add\:whole\:numbers}\:4+5:\\\quad 9\\\\\mathrm{Combine\:fractions}\:\frac{1}{2}+\frac{1}{2}:\\\quad 1\\\\=9+1\\\\=10[/tex]

Answer:

Step-by-step explanation:

Using the formula for calculating speed expressed as shown;

Speed = Distance/Time

Given parameters

Distance = 280miles

Speed = 50miles/hour

Required

Time it will take t return

From the formula above, Time = Distance/ Speed

Substituting the given parameters

Time = 280/50

Time = 5.6 hours

Hence the time it will take the driver to return is 5.6hours

Answer:

(2,4) (4,6) (6,9) (8,12)

First bracket : Add 2

Second bracket : Add 2

Third bracket : Add 3

Fourth bracket: Add 4

This is all I know

Answer:

420 flowers

Step-by-step explanation:

20 minutes = 240 flowers

1 minute =240/20 flowers

35 minutes = (240*35)/20 flowers

          The answer is 420 flowers.

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Helen can collect 240 flowers in 20 minutes.

You need to find the number of flowers she can collect in 35 minutes.

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1: Find the unit rate of Helen collecting flowers. To find the unit rate, just divide 240 by 20, to see how many flowers she can collect per minute.

2: Multiply the number of flowers Helen can collect in 1 minute by 35 (since 1 times 35 is 35).

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1: 240 divided by 20 is 12. Helen can collect 12 flowers per minute. The unit rate of Helen collecting flowers is 12 flowers per minute.

2: Since Helen can collect 12 flowers per minute, you need to find out how many she can collect in 35 minutes. To get from 1 minute to 35 minutes, you multiply 1 by 35. So you need to multiply 12 by 35 as well. 12 times 35 is 420. So Helen can collect 420 flowers in 35 minutes.

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Answer:

a = -1.58

Step-by-step explanation:

1/3 +a+5/4 =0

1/3+5/4= -a

4+15/12 = -a

19/12 = -a

1.58= -a

1.58/-1 = -a/-1

-1.58 = a

Answer:

x = -9

Step-by-step explanation:

6x + 6 = 3x – 21

Subtract 3x from each side

6x-3x + 6 = 3x-3x – 21

3x+6 = -21

Subtract 6 from each side

3x+6-6 = -21-6

3x = -27

Divide by 3

3x/3 = -27/3

x = -9

Answer:

Yes

Step-by-step explanation:

Since it is mentioned that Jane saved $35 in a month from her allowance  also the starting amount is $100 and she saved $135 after month

So based on the above information, yes it makes the sense as it represents the relation between the saving amount and number of months considering one constant rate as it she saves the similar money amount for every month

Therefore, it is linear

Answer:

10i.

Step-by-step explanation:

We can rewrite sqrt(-100) as sqrt(-1) multiplied by sqrt(100).

sqrt(-1) is i and sqrt(100) is 10, so sqrt(-100) is 10i.

Answer:

0 + 10i

Step-by-step explanation:

for edge

Answer:

5 cm.

Step-by-step explanation:

Let the lengths of the other 2 sides be 13-1 = 12  and x cm.

Then by Pythagoras:

13^2 = 12^2 + x^2

x^2 = 13^2 - 12^2

x^2 = 169 - 144 = 25

x = √25

x = 5 cm.

Step-by-step explanation:

Hey, there!!

As per your question,

There is a Right angled triangle, whose hypotenuse is 13 cm, one side is (13-1)=12 cm.

another side = ?

Let ABC be a Right angled triangle, taking angle "theta" as a refrence angle.

Hypotenuse (h)= 13 cm.

base ( b) = x

perpendicular (p)= 12cm.

By Pythagoras relation we get,

[tex]b = \sqrt{ {h}^{2} - {p}^{2} } [/tex]

[tex]b = \sqrt{ {13}^{2} - {12}^{2} } [/tex]

[tex]b = \sqrt{169 - 144} [/tex]

Therefore, base is 5 cm. Or the third side is 5 cm.

Hope it helps...

Answer:

She spent 33 minutes on her homework

Step-by-step explanation:

Answer:

Step-by-step explanation:

An hour is 60 minutes.

Taking 39 away from 60...

39 - 60 = 21

and adding 12 to it.

21 + 12 = 33

We have our answer:

Answer:

or, 42+35n+35+5n=37

or, 77+40n=37

or, 40n=40

so, n=1

Step-by-step explanation:

hope it helps you

Answer:

[tex]\huge \boxed{x=35}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Right angle ⇒ 90 degrees

90 + x + 55 = 180

Subtract 90 and 55 from both sides.

90 + x + 55 - 90 - 55 = 180 - 90 - 55

Simplify the equation.

x = 35

Answer:

x = 35°

Step-by-step explanation:

→ Remember that angles on a straight line add up to 180°

x + 90° + 55° = 180°

→ Collect the whole numbers

x + 145° = 180°

→ Minus 145° from both sides to isolate x

x = 35°

Answer: Four is less than seven times z

Step-by-step explanation:

Step-by-step explanation:

Using absolute value to tell wether the sum of two integers is positive or negative.

Suppose we have a positive integer,

x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.

For any integer x, x + (-x) = 0

Answer:

The sum is

[tex]6 \sqrt{5} [/tex]

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

[tex] = 4 \sqrt{5} + 2 \sqrt{5} [/tex]

As their bases are same, simply add them like,

[tex] = (4 + 2) \sqrt{5} [/tex]

[tex] = 6 \sqrt{5} [/tex]

Hope it helps...

Answer: 6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

first collect like terms:     4[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] equals to (4+2)[tex]\sqrt{5}[/tex] , then just add 4 and 2 which equals to 6[tex]\sqrt{5}[/tex]

Answer:

1260

Step-by-step explanation:

Subtract 21 from 8,to get 13.Multiply 13 to the 20 dollars,when you do that you get 260.You add the 260 and the 1000 dollars together.

Answer:

A"(3, 0), B"(3, 2), C"(1, 1), D"(1, -1)

Step-by-step explanation:

Coordinates of A,B,C and D are,

A(2, 4), B(4, 4), C(3, 2) and D(1, 2)

Rule for the reflection over a line y = x,

(x, y) → (y, x)

Therefore, new image of ABCD will be,

A(2, 4) → A'(4, 2)

B(4, 4) → B'(4, 4)

C(3, 2) → C'(2, 3)

D(1, 2) → D'(2, 1)

Rule for translation [tex]T_{-1, -2}[/tex],

(x, y) → (x - 1, y - 2)

By this rule image of A'B'C'D' will be,

A'(4, 2) → A"(3, 0)

B'(4, 4) → B"(3, 2)

C'(2, 3) → C"(1, 1)

D'(2, 1) → D"(1, -1)

Answer:

Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.

Step-by-step explanation:

The exponent of variables in a polynomial should be natural numbers ([tex]0[/tex], [tex]1[/tex], [tex]2[/tex], [tex]3[/tex], [tex]\dots[/tex].)

[tex]\sqrt{2\, x}[/tex] isn't a polynomial because the exponent of variable [tex]x[/tex] isn't a natural number. On the other hand, [tex]\sqrt{2}\, x[/tex] is indeed a polynomial over the set of real numbers.

Answer:

rational

Step-by-step explanation:

Hello!

A rational number can be expressed as a ratio of two numbers in p/q form

A irration number cannot be expressed this way

5 1/25 is a rational number since it can be expressed as a ratio of two numbers which is 126/25.

Hope this helps!

[tex]\frac{51}{25}[/tex] is a rational number.

Rational numbers is a mathematical term that refers to the set of numbers that is expressed in a common fraction a / b. It can also be characterized because the denominator is not zero. For example

[tex]\frac{2}{8}[/tex], [tex]\frac{5}{10}[/tex], [tex]\frac{3}{9}[/tex]

On the other hand, irrational numbers are a set of numbers that cannot be expressed as a fraction. For example

π = 3.14159265358979323846…

According to the above, it can be inferred that the number [tex]\frac{51}{25}[/tex] is rational because it is expressed as a fraction.

Learn more in: https://brainly.com/question/17450097

Answer:

Step-by-step explanation:

Since ( 1 , -1) is a point on the line 2x-(2a+5)y=5 we can substitute it into the equation to find a

We have

2(1) - (-1)(2a + 5) = 5

Multiplying two negatives make a positive

That's

2 + 2a + 5 = 5

2a + 7 = 5

Group like terms

Send the constants to the right side of the equation

That's

2a = 5 - 7

2a = - 2

Divide both sides by 2

That's

We have the final answer as

Hope this helps you

Answer:

Hey there!

The slope of the line is 4, and the y-intercept is (7,0)

Let me know if this helps :)

Answer:

D

Step-by-step explanation:

equally likely or unlikely because it is 50%

Answer:

It is D hope this helps bud :)

Step-by-step explanation:

Answer:

Andrew must run 1 5/12 Laps to complete the race.

Step-by-step explanation:

Total lap run by Michael, Nate, Ben, and Andrew = 4 laps

laps run by Michael = 1 1/3 laps =(3+1)/3 =  4/3 laps

laps run by Nate =1/2 laps

laps run by ben =3/4 laps

Let laps run by Andrew = x

therefore

laps run by Michael + laps run by Nate + laps run by ben + laps run by Andrew = 4 laps

4/3 + 1/2 + 3/4 + x = 4

LCM of 3,2 and 4 is 12

=> (4*4 + 6*1 + 3*3+12x)/12 = 4

=> (16+6+9+12x)/12 = 4

=> 31+12x = 12*4 = 48

=> 12x = 48-31= 17

=> x = 17/12 = 1 5/12

Thus, Andrew must run 1 5/12 Laps to complete the race.

Answer:

54/25

Step-by-step explanation:

54/25 is the simplest form of 2.16 when writing as a fraction.

Answer:

[tex]\Huge \boxed{-2}[/tex]

Step-by-step explanation:

[tex]f(x)=-2x^2-2x+10[/tex]

For f(2), the input of the function is 2.

Let x = 2.

[tex]f(2)=-2(2)^2-2(2)+10[/tex]

Evaluate.

[tex]f(2)=-2(4)-2(2)+10[/tex]

[tex]f(2)=-8-4+10[/tex]

[tex]f(2)=-2[/tex]

Answer:

[tex]f(x) = - 2 {x}^{2} - 2x + 10[/tex]

put the value of x = 2

[tex]f(2) = - 2( {2}^{2} ) - 2(2) + 10[/tex]

[tex] f(2) = - 8 - 4 + 10[/tex]

[tex]f(2) = - 12 + 10[/tex]

[tex]f(2) = - 2[/tex]

hope it helps u