A farmer harvests 15 cucumbers for every 45 carrots. Which of the following ratios represents the ratio of cucumbers to carrots, in simplest form? 4 3 please help

Answer:

a). The number if ways it can be arranged in a row= 362880 ways

b). 40320 ways

c). 5040 ways

Step-by-step explanation:

There are 9 alphabets in the word ALGORITHM

The number if ways it can be arranged in a row= 9!

The number if ways it can be arranged in a row= 9*8*7*6*5*4*3*2*1

The number if ways it can be arranged in a row= 362880 ways

if A and L must remain together (in order) as a unit, then we take it as 8 alphabets

= 8!

= 8*7*6*5*4*3*2*1

= 40320 ways

if the letters GOR must remain together (in order) as a unit, then we have 7 alphabets units remaining

= 7!

= 7*6*5*4*3*2*1

= 5040 ways

a). The number of ways it can be arranged in a row= 362880 ways.

b) The number of ways should be 40320 ways.

c) The number of ways should be 5040 ways.

a. Since There are 9 alphabets in the word ALGORITHM

So, The number of ways it can be arranged in a row= 9!

[tex]= 9*8*7*6*5*4*3*2*1[/tex]

= 362880 ways

b. In the case when  A and L must remain together (in order) as a unit, then we take it as 8 alphabets

= 8!

[tex]= 8*7*6*5*4*3*2*1[/tex]

= 40320 ways

c. In the case when the letters GOR must remain together (in order) as a unit, so we have 7 alphabets units remaining

= 7!

[tex]= 7*6*5*4*3*2*1[/tex]

= 5040 ways

learn more about ways here: https://brainly.com/question/18057835

Answer:

1:7

Step-by-step explanation:

1 teacher for every 7 kids

Answer:

The two possible distance are 147.5km and 64.4km

Step-by-step explanation:

Given

See Attachment for Illustration

Required

Determine the possible distance of ship A from the boat

The distress is represented by X;

So, the question requires we calculate distance AX;

This will be done using cosine formula as follows;

[tex]a^2 = b^2 + x^2 - 2bxCosA[/tex]

In this case;

a = 70;

b = ??

x = 120

A = 28 degrees

Substitute these values in the formula above

[tex]70^2 = b^2 + 120^2 - 2 * b * 120 Cos28[/tex]

[tex]4900 = b^2 + 14400 - 2 * b * 120 * 0.8829[/tex]

[tex]4900 = b^2 + 14400 - 211.9b[/tex]

Subtract 4900 from both sides

[tex]b^2 + 14400 - 4900 - 211.9b = 0[/tex]

[tex]b^2 + 9500 - 211.9b = 0[/tex]

[tex]b^2 - 211.9b + 9500 = 0[/tex]

Solve using quadratic formula

[tex]\frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Substitute 1 for a; -211.9 for b and 9500 for c

[tex]b = \frac{-(211.9)\±\sqrt{(211.9)^2 - 4 * 1 * 9500}}{2 * 1}[/tex]

[tex]b = \frac{211.9\±\sqrt{44901.61 - 38000}}{2}[/tex]

[tex]b = \frac{211.9\±\sqrt{6901.61}}{2}[/tex]

[tex]b = \frac{211.9\±83.08}{2}[/tex]

This can be splitted to

[tex]b = \frac{211.9+83.08}{2}[/tex]  or    [tex]b = \frac{211.9-83.08}{2}[/tex]

[tex]b = \frac{294.98}{2}[/tex]   or  [tex]b = \frac{128.82}{2}[/tex]

[tex]b = 147.49[/tex]   or   [tex]b = 64.41[/tex]

[tex]b = 147.5km\ or\ b = 64.4km[/tex]

Hence, the two possible distance are 147.5km and 64.4km

Answer:

.95

Step-by-step explanation:

Answer:

  6.5 seconds

Step-by-step explanation:

When s=0, we have ...

  0 = -16t^2 +676

  t^2 = 42.25 . . . . . add 16t^2, divide by 16

  t = √42.25 = 6.5

6.5 seconds will pass before the object hits the ground.

Answer:

29

Step-by-step explanation:

Answer:

One Solution

Step-by-step explanation:

So we have the equation:

[tex]4x+(-3x+2)=2x+5-2[/tex]

On both sides, combine like terms:

[tex](4x-3x)+2=2x+(5-2)[/tex]

Simplify:

[tex]x+2=2x+3[/tex]

Subtract x from both sides. The left cancels:

[tex](x+2)-x=(2x+3)-x\\2=x+3[/tex]

Subtract 3 from both sides. The right cancels:

[tex](2)-3=(x+3)-3\\-1=x[/tex]

Flip:

[tex]x=-1[/tex]

So, our equation only has one solution.

And the answer is -1 :)

Answer:

There will be 108 interactions for 9 children.

Answer:The answer is Sympathy

Step-by-step explanation:

The correct answer is Consolation

If we look at the flow of the first sentence, ointment is the instrument that is used to soothe a burn.

The implication of this is that we also need to find the word that best describes that which can be used to soothe grief.

When a person is grieving, such a person is in need of consolation hence the correct answer is consolation.

For more about the meaning of the word consolation, see

https://brainly.com/question/13393434

Answer:

y= -6x +1

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.

In order to find the equation of a line, you would need 2 things:

① Gradient (← can be found)

② Coordinate (✓ we have 2 coordinates here)

To find the gradient, use the gradient formula below:

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

[tex]m = \frac{ - 5 - ( - 17)}{1 - 3} \\ m = \frac{ - 5 + 17}{ - 2} \\ m = \frac{12}{ - 2} \\ m = - 6[/tex]

Substitute the value of m into the equation:

y= -6x +c

To find the value of c, substitute a pair of coordinates.

When x=1, y= -5,

-5= -6(1) +c

c -6= -5

c= 6 -5

c= 1

Thus, the equation of the line is y= -6x +1.

Answer: B. 80

Step-by-step explanation: Simply times 24 by 10, then divide it by 3.

Answer:

B.   80 miles

Step-by-step explanation:

A bike travels 24 miles in 3 hours

how many miles does it travel in 10 hours  at the same rate/

its a ratio and proportion

24 miles            x

-------------  =  --------------

3 hours             10 hours

cross multiply:

3 x = 24 (10)

3 x = 240

x = 240 miles / hour

              3 hours

x = 80 miles

so the answer is B.  80 miles

Answer:

Just do 60 divided by 10

Step-by-step explanation:

60=10 x  10 times 6 = 60 so x=6

Answer: [tex]x=6[/tex]

Divide both sides by 10

[tex]10x=10=60/10\\x=6[/tex]

Answer:

1. 8

2.0.8

3. 1.4

Answer:

1/4

Step-by-step explanation:

Absolute values are always positive.

The absolute value is |1/4|

To understand this let's first understand the definition of absolute value.

Absolute value - The non-negative value of a number without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.

Therefore the absolute value of -1/4 is just 1/4.

Also, remember that to indicate that it's the absolute value you have to add a " | " before and after the number. Like this |1/4|

Hope this helped ~

Answer:

Step-by-step explanation:

Let the original price be x

The discounted price for a clearance sale = 30% of x

If the price tag after discounting = $199.

Using the relationship to find the original price x

Original price - discounted price = Current price tag after discounting

x - 0.3x = 199

0.7x = 199

Divide both sides by 0.7

0.7x/0.7 = 199/0.7

x = $284.29

Hence the suit's original price is approximately $284.29

Answer:

x = 24

Step-by-step explanation:

x = 2 ÷ 12⁻¹

x = 2 * 12

x = 24

Answer:

  x = 24

Step-by-step explanation:

The applicable rule of exponents is ...

  1/a^-b = a^b

__

The problem simplifies to ...

  x = 2 ÷ 12^-1 = 2 · 1/12^-1

  x = 2 · 12^1 = 2·12

  x = 24

Answer:

2596

Step-by-step explanation:

your question set up is kind of confusing but heres an answer anyway

8(300 + 60 + 2) =

8 • 300 = 2100

8 • 60 = 480

8 • 2 = 16

2100 + 480 + 16 = 2596

Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...

The two digit numbers in that list above all have their digits adding to some other multiple of 3

and so on.

Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.

Answer:

-6.7x + 3.3y

Step-by-step explanation:

Step 1: Write out expression

3.5x + y - 10.2x + 2.3y

Step 2: Combine like terms (x)

-6.7x + y + 2.3y

Step 3: Combine like terms(y)

-6.7x + 3.3y

Answer:

3.3 y - 6.7 x

Step-by-step explanation:

Rewriting for clarity.

(2.3y + y) + (3.5x - 10.2x)

(3.3y) + (-6.7x)

3.3y - 6.7x

Answer:

(6,-2)

Step-by-step explanation:

The picture as shown, A would be flipped across the line which leaves it landing on (6,-2)

Hope this helped you :)

Answer:

A

Step-by-step explanation:

x = 18

Answer:

$1315.15

Step-by-step explanation:

x=901 * 0.15

Original price * the discount gives you your original price

Answer:

x = -10

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

8x - 2(x + 1) = 7x + 8

Step 2: Distribute

8x - 2x - 2 = 7x + 8

Step 3: Combine like terms

6x - 2 = 7x + 8

Step 4: Subtract 6x on both sides

-2 = x + 8

Step 5: Subtract 8 on both sides

-10 = x

Step 6: Rewrite

x = -10

Answer:

width=16

length=38

Step-by-step explanation:

perimeter of a rectangle=2(length+width)

108/2=length+ width

54=length+ width

54-width=length

also:

length-6= 2×width

length=2width +6

now you can put the length we found, in the second equation:

54-width=2width+6

54-6=2width+width

48=3width

width=16

now do the exact same thing with one of the equations we created in the beginning.

either this:

54-width=length

or this:

length=2width +6

as the 1st one is simpler, I use that:

54-(16)=length

length=38

Answer:

u =88

Step-by-step explanation:

[tex]15 + u - 22 = 81[/tex]

Collect like terms and simplify

[tex]u=81+22-15\\\\u = 88[/tex]

Answer:

-125 dollars.

Step-by-step explanation:

When dealing with negatives, the smaller the numerical number (remember, with the negative attached), the greater the number.

Meaning, -1 will be greater than -100.

In this case, Elise has an account balance of -$115, or that she owes $115.

Look at each answer choice:

$0: In this case, it means that Elise paid the bank back $115, and that she has a zero balance account. She neither has money nor owes any.

-$115: In this case, it means that she owes $115.This means that there was no change to the balance.

-$105: In this case, it means that she owes $105. Since this is $10 less than the amount she previously owed, it means that she paid $10 into the bank account.

-$125: In this case, it means that she owes $125. Since this is $10 more than the amount she previously owed, it means she overdrew once again, or was charged for failing to pay. This is your answer choice.

~

Answer:

2 4/11

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

26/11

Decimal Form:

2.36

Mixed Number Form:

2 4/11

Answer:

2 4/11

Step-by-step explanation:

Answer:

indelox reader is on PPF 5% HP in in Alok

Step-by-step explanation:

when the 58 words we get a Goriya 50% town population