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?

Answers

Answer 1

Answer:

  72

Step-by-step explanation:

If the rates d and c are flowers per day, we have ...

  150/d = 120/c

  d -c = 18

__

Multiplying the first equation by cd/30, we have ...

  5c = 4d

Multiplying the second equation by 4 gives ...

  4d -4c = 72

Adding these equations together, we get ...

  5c +4d -4c = 4d +72

Simplifying and subtracting 4d leaves ...

  c = 72

Charlie can plant 72 flowers per day.


Related Questions

how do you solve x^0.5=8

Answers

Answer:

The answer is x=64

Step-by-step explanation:

Hello !Because, [tex]x {}^{0.5} = 8 \\ x {}^{ \frac{1}{2} } = 8...changing \: it \: to \: fraction \\(x {}^{ \frac{1}{2} } ) {}^{2} = 8 {}^{2} ...squaring \: both \: sides \\ (x {}^{ \frac{1}{2} } ) {}^{2} = x \\ 8 { }^{2} = 64 \\ therefore \: the \: value \: of \: x = 64.[/tex]

What is 5,783 divided by 6 ?​

Answers

I would suggest to do future long division by learning the steps with an acronym. For me, I use DMSB, which stands for Divide, Multiply, Subtract, Bring Down. An example is attached below.To solve this particular equation, you would get 963.33333... which would round to 963.3I hope this helps!

963.3

Help , please ?? If you can thank you ..4 more

Answers

[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]

Can someone please help me

Answers

It’s y = (x + 1) ^2 - 9

Answer:

Option 2: y = a(x + 1)² - 9

Step-by-step explanation:

Given the graph of an upward-facing parabola, whose vertex occurs at point (-1, -9) as its minimum point.  

Vertex Form

Using the vertex form of the quadratic equation, y = a(x - h)² + k:

where:

a = determines the wideness and the direction of where the graph opens.

(h, k) = vertex

h = determines the horizontal translation of the graph

k = determines the vertical translation of the graph

Using the vertex, (-1, -9), and another point from the graph, (2, 0), substitute these values into the vertex form to solve for the value of a:

y = a(x - h)² + k

0 = a[2 - (-1)]² - 9

0 = a(2 + 1)² - 9

0 = a(9) - 9

Add 9 to both sides to isolate a:

0 + 9 = 9a - 9 + 9

9 = 9a

Divide both sides by 9 to isolate a:

[tex]\displaystyle\mathsf{\frac{9}{9}\:=\:\frac{9a}{9}}[/tex]

a = 1

Final answer:

Therefore, the vertex form of the given parabola is: y = a(x + 1)² - 9.

Find the next two terms in the sequence -3, 0, 3, 6

Answers

9, 12.

The rule is add 3 so yeah lol

Answer:

9, 12

Step-by-step explanation:

the rule is +3 for each step in the sequence

Help help help math math

Answers

Answer:

Function

Step-by-step explanation:

Hope it help !!

Help help help help math math math math help

Answers

x = 14

because 7 (14) + 9 is equal to 9 (14) - 19

Answer:

14

Step-by-step explanation:

because both sides need to be equal so if u plug in the 14 in x it gives you the same number for both sides 107.

For f(x) = 4x+1 and g(x) = x^2 -5, find (f-g)(x)

Answers

Answer:

(f-g)(x) is given by -x^2+4x+6

Step-by-step explanation:

David invests $10,000 in a savings account that pays 3.5% simple interest. If David

makes no withdrawals or deposits to the account, how much will be in the

account after 7 years.

Answers

Answer:

David will have $12,450 if he makes no withdrawals.

You are playing a game where you flip 3 coins, if you get all tails you lose $15, for each heads you get $3. What is your expected profit from this game?

Answers

Answer:

expected profit=$-3

Step-by-step explanation:

1 tail=-5

1 head=3

3/2=1.5

1.5*3=4.5

1.5*-5=-7.5

4.5-7.5=-3

$-3

May has 10 sticker sheets with 8 stickers each and 15 pages with y stickers each. How many stickers does she have total.

A. (10 x 8) + (15y)

B 10 x ( 9 + 15 + y)

C. 10 + 8 + 15 + y

D, (10 x 15) + (8y)

Answers

Answer:

A

Step-by-step explanation:

Find the total amount and total interest after one year if the interest is compounded half yearly


Principal = 4000

Rate of interest = 10% per annum

Total amount =

Total interest =

Answers

Use the equation:
Total amount=p(1+(r/k))^(k*t)
p=principal
r=rate
k=number of times compounder per year
t=number of years
So 4000(1+(.10/2)^(2*1)=4410
4410 is the total amount owed
4410-4000=410
410 is the total interest owed

1 meter is equal to 100 centimeters or 1,000 millimeters. How many millimeters are in 2 meters, 17 millimeters?

Answers

Answer:

2,017

Step-by-step explanation: 2 meters= 2,000

So, 2,000+17= 2,017

2017 millimeters are in 2 meters, 17 millimeters as per the given unit conversion rate.

What is Unit conversion?

A statement of the connection between units that are used to alter the units of a measured quantity without affecting the value is called a conversion factor. A conversion ratio (or unit factor), if the numerator and denominator have the same value represented in various units, always equals one (1).

Given, 1 meter is equal to 100 centimeters or 1,000 millimeters.

To calculate the total number of millimeters in 2 meters, 17 millimeters.

Since,

millimeters in 1 meter = 1000

Thus,

millimeters in 2 meter = 2000

millimeters in 2 meters, 17 millimeters = 2017

Therefore, there is 2017 mm in 2meteres, 17 mm as per the given unit conversion.

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1. Find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360.
2. Subtract the area of the triangle from the area of the sector.
length of the radius
length of the diameter
measure of the central angle
circumference of the circle

Answers

Answer: measure of the central angle

Step-by-step explanation: trust

Answer:

measure of the central angle

Step-by-step explanation:

in digging a well, crew records the location of the bottom of the hole relative to ground
level. After 4 hours the hole is 164.4 feet deep. What integer represents the change in
location in feet after 1 hour?

Answers

41

164.4 / 4, gets answer/ unit rate
Requires integer so it would be 41 not 41.1

4781/32 without a decimal

Answers

Answer:

149(13/32)

Step-by-step explanation:

4781/32 and then take the remainder to make it an improper fraction

Look back at the plans these students used to solve the word problem below.
Who found a correct solution?
- STEP 4: LOOK BACK
According to soap box derby rules, a racer must weigh 250
pounds or less. The Math Club's car weighed in at 266
pounds on the day of the derby. How many pounds did the
Math Club need to remove from their soap box racer?
Dana added the weight limit to the Hector subtracted the weight limit
racer's weight. Since
from the racer's weight. Since
250 +266 = 516, the Math Club 266 - 250 = 16, the Math Club
needed to remove 516 pounds from needed to remove 16 pounds
the racer
from the racer
O A. Dana
B. Hector

Answers

the answer should be option A.

HELP ASAP Match each division expression to its quotient.

Answers

Answer:

2=-12.2/(-6.1

-2=16/(-8)

-3= -2 2/5/4/5

3= 3 3/7 / 1 1/7

Step-by-step explanation:

A bath tub drained at a constant rate. The table shows the number of gallons of water left in the tub after being drained for two amounts of time

Answers

The rate at which the water was drained from the tank is 6 gallons of water per minute (option A)

To know the speed at which the tank was drained, we must carry out the following operations:

Taking into account the information provided by the table we establish how much water has been drained from the tank in 20 minutes.

450 gallons - 330 gallons = 120 gallons.

Subsequently, we must divide the amount of water (120 gallons) that was drained by the time it was drained (20 minutes).

120 gallons ÷ 20 minutes = 6 gallons / minute.

According to the above, we can establish that the bath drain rate is 6 gallons / minute (option A).

Note: This question is incomplete because there is some missing information. Here is the complete information:

What is the rate at which the water was drained from the tank?

6 gallons of water per minute. 11 gallons of water per minute. 45 gallons of water per minute. 120 gallons of water per minute.

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Mrs. Lovejoy and Christi spent the day baking cookies. When they divided them into 8 stacks, they had 14 cookies in each stack. How many cookies did they have? Solve and label the word problem. Please I need help.​

Answers

Answer:

they had 112 cookies

Step-by-step explanation:

14×8 = 112

help me please please ​

Answers

Answer:

C? yikes if im wrong mb

Step-by-step explanation:

5/6 in simpliest, its C id have to assume

3.In the wild, a giant panda bear's diet consists primarily of bamboo, but in a zoo, the diet
includes other foods. On the first two days of the week, the giant panda bear at your zoo eats 34
pounds of highly nutritious biscuits and 37 pounds of bamboo, respectively.
Use inductive reasoning to create two possible sequences that describe the giant panda bear's
daily diet. Write the first five terms of each sequence.
First Sequence:
Second Sequence:
Describe the pattern you used to write each sequence. Which sequence do you think is more
likely? Explain your reasoning.

Answers

The sequence gives the order in which the the different types of foods are

given to the giant panda.

The possible first five terms of the sequences are;

[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]

The sequence that is more likely is the First Sequence

Reasons:

Inductive reasoning is the reasoning based on the given observation

What the giant panda bear at the zoo eats on the first two days of the week are;

First day; 34 pounds of highly nutritious biscuits

Second day; 37 pounds of bamboo

Given that the number of terms in the sequence = 5

By inductive reasoning, we have;

[tex]\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right][/tex]

The pattern used to write the First Sequence is as follows;

Alternating diet of biscuit and bamboo, such that the panda has a balanced diet during the 5 periods of the sequence.

The pattern used to create the Second Sequence is as follow;

Alternating days in which the panda has a mixed diet of biscuit and bamboo, followed by alternating single meal of bamboo and biscuit.

The sequence that is more likely is the First Sequence

The reason why the first sequence is more likely is that it ensures that the panda eats adequate amount of each diet, thereby making the panda healthier, and cleaning the zoo much easier.

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EXERCISE 11D

1. Draw MON = 81° and bisect it.
2. Draw an angle of measure 175°.
3. Construct a right angle and then bisect it.
4. Draw ABC= 162º and divide it into four equal parts.
5. Construct the following angles using a ruler and compass. a 60° b. 30° C. 120° d. 135°
6. Draw an angle of 107° and make a copy of it. Verify your construction by ac measurement. a.
7. Draw an angle of 83º. Make a copy of its complementary angle.

✅help me to solve this

Answers

1. Draw MON = 81° and bisect it.

2. Draw an angle of measure 175

3. Construct a right angle and then bisect it.

Draw ABC = 162° and divide it into four equal parts.

5. Construct the following angles using a ruler and compass.

120°

1 gallon is equal to 4 quarts or 8 pints. How many pints are in 3 gallons?

Answers

Answer:

24 pints

Step-by-step explanation:

if 1 gallon is = to 8

then 3 gallons is 24

There are 24 pints in 3 gallons.

To determine how many pints are in 3 gallons, we can use the conversion factor provided: 1 gallon equals 8 pints.

Step 1: Calculate the number of pints in 1 gallon.

Since 1 gallon equals 8 pints, we can write this as 1 gallon = 8 pints.

Step 2: Multiply the number of pints in 1 gallon by the number of gallons.

To find the number of pints in 3 gallons, we multiply the number of pints in 1 gallon (8 pints) by 3 gallons:

3 gallons × 8 pints/gallon = 24 pints.

Therefore, there are 24 pints in 3 gallons.

Learn more about conversion factor click;

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When buddy ran away after his dad yelled at him dad and step brother searched 10% of New York for him what is this number as a fraction written in simplest form

Answers

Answer:

1/10

Step-by-step explanation:

they searched 1/10of New york

10%=10/100

=10%=1/10

Answer : 1/10

Step - by - step explanation :

10% = 10/100 ( because percentages are always out of 100 )

10/100 divided by 10/10 = 1/10

If [tex]f(x) = x[/tex]² [tex]-x+3[/tex], then what is the reaminder when [tex]f(x)[/tex] is divided by [tex]x+9[/tex]?

Answers

Answer:

Remainder is 93

Step-by-step explanation:

Use synthetic division:

-9 | 1   -1    3

____ -9   90

     1 -10 | 93

Therefore, the remainder is 93

What is the horizontal asymptote of j(x)=14x^3+45/2x^3+x+9

Answers

Answer:

It's C! y = 7

Step-by-step explanation:

Ann received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying the coffee, she had $65.88 left on her
card. How many pounds of coffee did she buy?
pounds
5
?

Answers

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

An investor makes an investment of $1,000,000.00 to buy a small, select service hotel in Daytona Beach. She achieves a
$200,000 profit on that investment. In this example, what was her ROI?


Anyone??

Answers

Answer:

In terms of %, it's 20%.

Step-by-step explanation:

Used an ROI calculator:

Math isn't really my thing, so if you could help I would really, really appreciate!!​

Answers

Answer:

1. 0.25

2. 105-40

3. 0.375

4. 0.5

5. 0.4 same as the number 6

Step-by-step explanation:

i hope it helpful i guess?

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