Travis has hired Charlie and Dora to plant flowers. Dora can plant 150 flowers in the same time it takes Charlie to plant 120 flowers, which can be shown using the following relationship where d and c are the respective rates at which Dora and Charlie can plant flowers:

150 over d equals 120 over c

Also, Dora can plant 18 flowers more per day than Charlie.

How many flowers can Charlie plant per day?

Answer:   [tex]56y^2m[/tex]

which is the same as writing 56y^2m

====================================================

Explanation:

Let's focus on the coefficients 8 and 7 for now.

To find the LCM of those values, list out the multiples. Circle the smallest number that can be found in both sets at the same time.

We see that 56 is the LCM of 7 and 8.

Or you could use this shortcut

LCM = (x*y)/GCF

where x and y are the two numbers. The mention of "GCF" refers to the GCF of x and y. In this case, the GCF is 1 so,

LCM = (x*y)/GCF = (8*7)/1 = 8*7 = 56.

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Once we determine that, we look at the variable terms now.

The y^2 and m will be tacked onto the 56 to arrive at the final answer 56y^2m

This is because y and m are the unique variables, and we go for the highest exponent of each. It's similar to the LCM formula used earlier.

Answer:

  7 ft

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr

The curved portion of a semicircle will be ...

  C/2 = (2πr)/2 = πr

The straight portion of the semicircular shape will be the diameter, or 2r. That means the total perimeter of a semicircular shape is ...

  P = πr +2r = r(π+2)

Then the radius is ...

  r = P/(π+2) = (35.98 ft)/(3.14+2) = 7 ft

The radius of the patio is 7 ft.

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{1}{4} x-\frac{3}{5} =1\frac{2}{5}[/tex]

[tex]\frac{1x}{4} -\frac{3}{5} =\frac{7}{5}[/tex]

[tex]\frac{1x}{4} =\frac{7}{5} +\frac{3}{5} \\[/tex]

[tex]\frac{1x}{4} =\frac{10}{5}[/tex]

Use cross multiplication.

[tex]5x=4*10[/tex]

[tex]5x=40[/tex]

[tex]\frac{5x}{5}=\frac{40}{5}[/tex]

[tex]x=8[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Hello There!

Question:-

[tex]\sf \longmapsto1/4x-3/5=1\dfrac{2}{5}[/tex]

We need to find the value of x.

Solution:-

Convert[tex] \dfrac{2}{5}[/tex] to improper fraction:-

[tex] \sf \longmapsto\dfrac{1}{4} x + \dfrac{ - 3}{5} = \dfrac{7}{5} [/tex]

Add 3/5 to both sides:-

[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ - 3}{5} + \red {\dfrac{3}{5}} = \dfrac{7}{5} + \red{\dfrac{3}{5}} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ 3}{5} - \dfrac{3}{5} = \dfrac{7 + 3}{5} [/tex]

[tex]\sf \longmapsto \: \dfrac{1}{4} x - 0 = \cancel \dfrac{10}{5} [/tex]

[tex]\sf \longmapsto \dfrac{1}{4} x = 2[/tex]

Multiply both sides by 4 :-

[tex]\sf \longmapsto \: \red4 \times \bigg( \dfrac{1}{4} x \bigg) = \red 4 \times 2[/tex]

On Simplification:-

[tex]\sf \longmapsto \: \cancel 4 \times \dfrac{1}{ \cancel4}x = 4 \times 2[/tex]

[tex]\sf \longmapsto \: x = 8[/tex]

______________________________________

Henceforth,The value of x is :-

[tex] \boxed{ \huge\bf \: x = 8}[/tex]

________________________________

Please let me know if you have any questions.

~MisterBrian

Answer:

10 units

Step-by-step explanation:

use distance formula to solve for this!

distance formula is

the square root of the change in x squared + the change in y squared.

sqrt (3+3)^2 + (|-3-5|)^2

sqrt 36 + 64

sqrt 100 = 10

the distance is 10 !

Answer:

the ditstance between (3,-3) and (-3,5) is 10

Step-by-step explanation:

we know the distance in a cartesian axis is

[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]

so the answer is calculated 10

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

---------------------

Notice that

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

So,

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

Answer:

Interest rates can come in all sizes, but for credit cards they generally fall into one of three categories:

Step-by-step explanation:

Answer:

14 and 12

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Let's say the customer has x items. For each item, we add 2 seconds. For 3 items, we need 2 + 2 + 2 = 2*3 seconds. For x items, we need 2 * x seconds. Then, we add the processing payment time of 30 seconds, so for x items, the total amount of time = 30 + 2 * x

Here, the total amount of time is 44, so we have

44 = 30 + 2x

subtract 30 from both sides to isolate the variable and its coefficient

14 = 2x

divide both sides by 2 to isolate x

x = 7

Answer:

1,139.0625

Step-by-step explanation:)

100 BACTERIA to start

1Hour = 50% of the start (which is 100 so half would be 50) this suggest 100+50= 150

2hour = 50% of 150 which is 75 and this suggest

150+75= 225

3 hour = 50% of 225 which is 112.5 this suggest

225+112.5=337.5

4hours = 50% of 337.5 which is 168.75 this suggest

337.5 + 168.75=506.25

5hours = 50% of 506.25 which is 253.125 this suggest

506.25+253.125=759.375

6hours = 50% of 759.375 which is 379.6875 this suggest

759.375+379.6875=1,139.0625

Answer: 1139 bacteria

Answer:

Yes

Step-by-step explanation:

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.

The points (5,2) and (8,2) have the same y value, but their x values are different.  It is a function (there are no values of x for which we have more than one value of y).

Answer:

( 2 x 10 ) + ( 2 x 7)

Step-by-step explanation:

Hope this helped!

Answer: 34 inches  Perimeter = 2L + 2W

Step-by-step explanation:

A rectangle has two sets of equal side lengths.    We'll assign 10 inches to the length, L, and 7 inches to the width, W.

The perimeter of a rectangle is 2L + 2W

Perimeter, P = 2(10) + 2*(7)

P = 20 + 14

P = 34 inches

Answer:

$151.2

Step-by-step explanation:

To find the price after the tax is implemented,

set a relationship x/140=8/100 (8/100) basically means 8%.

cross multiply (140)(8)=1120. Then divide it by 100x, you get $11.2.

But that's just 8 percent of the total amount. So you need to add onto the original price, 140+11.2=$151.2.

Answer:

It is 50

Step-by-step explanation:

Hope this helps

Answer:

50

Step-by-step explanation:

Step-by-step explanation:

3x-3 = x+5 add 3 on both sides

3x = x+8 subtract x in both sides

2x = 8 divide both sides by 2

x = 4

Answer: because dna is  game of chance

Step-by-step explanation: hope it helps

Answer:ITS THE SECOND ONE

Step-by-step explanation:

Answer:

you would multiply by 3.

Step-by-step explanation:

Hi there!

In order to solve this system of equations through elimination, the sum of either the x or y values will have to equal 0. To eliminate x, you would have to find what, when added, will make the sum 0. In this case, a positive 9 will cancel out the -9 and give us 0. All we have to do is multiply the top equation by 3 so that the x value is equal to 9x!

I hope this helps!

Answer:

Step-by-step explanation:

[tex]12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040[/tex]

Answer:

option 1 is the best choice

Step-by-step explanation:

for every 5 minutes, the number of toys increases by 2.

Answer:

5x+12+x'

_______

2x'-2x-4

'=2

Answer:

24 25 26 27 28 29 30 31 32 33 34

Step-by-step explanation:

Answer:

I think it is A hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula

(numerator * numerator ) divided by (denominator * denominator)

Numerator * numerator = 6*9 = 54

Denominator * denominator = 4 * 12 = 48

The answer is 54 / 48 = 9/8 = 1 1/8

Both numerator and denominator can be divided by 6

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

Removing the proportionality sign,

Where:

make K the subject of the equation:

From the question,

Given:

Susbtitute into equation 1

Formula:

Hence the formula of the relation is M = 8AT

If,

Substitute these values into equation 2

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: https://brainly.com/question/26047253

To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.

(legs)^2 + (leg)^2 = (hypotenuse)^2

In your textbook, you will see it this way:

a^2 + b^2 = c^2, where a = b = legs.

Answer:

You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.

Step-by-step explanation:

First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer

Answer:

y=log_2 (x)

Step-by-step explanation:

We see that the graph passes though the point (2,1). So we can write:

log_a (2) = 1  => a = 2

So it's a log in base 2.

Answer:8.15

Step-by-step explanation: 8.15

Answer:

6c+2(5-7c)=6c+10-14c

A. -8c+10 is correct option.