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Gennadij [26K]
2 years ago
9

Mr.Smith waters one of his plants every 10 days and another plant every 14 days. If he waters both plants today, when is the nex

t time both plants will be watered?
Mathematics
1 answer:
Allushta [10]2 years ago
6 0

Answer:

After 140 days

Step-by-step explanation:

The next time both plants will be watered together is simply the LCM of 10 and 14.

10 has multiples: 10, 20, 30, 40 , 50 ....

14 has multiples: 14, 28, 42, 56 ....

When will they next be equal?? That's the LCM.

We first do prime factorization of the numbers and then multiply each factor the greatest number of times it occurs in either number.

<u>Prime Factorization</u>

10 = 2 * 5

14 = 2 * 7

So,

LCM = 2^2 * 5 * 7 = 140

After 140 days

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Cody was 165cm, {cm}165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school
strojnjashka [21]

Answer:

Cody was 148.5cm on the first day of school last year.

Step-by-step explanation:

10% = 0.1

165 x 0.1 = 16.5

165 - 16.5 = 148.5

8 0
3 years ago
Read 2 more answers
1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j
ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

m=(17-16)/(2-0)=\frac{1}{2}

The equation of the line in slope intercept form is

y=mx+b

we have

m=\frac{1}{2}

b=16 -----> the point (0,16) is the y-intercept

substitute

y=\frac{1}{2}x+16

convert to function notation

f(x)=y

f(x)=\frac{1}{2}x+16

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

m=(-2-0)/(5-5)=\frac{-2}{0}

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

m=(1-2)/(3+1)=-\frac{1}{4}  

step 2

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-\frac{1}{4}

point\ (3, 1)

substitute

y-1=-\frac{1}{4}(x-5)

Convert to standard form

Multiply by 4 both sides to remove the fraction

4y-4=-(x-5)

4y-4=-x+5

x-4y=-4-5

x-4y=-9

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0
3 years ago
2/3 is what percent of 1/4
asambeis [7]

Answer:

267%

Step-by-step explanation:

you need to divide the second number by the first. This will give you the percentage.

2/3 ÷ 1/4 = 8/3 = 2.67 = 267%

6 0
3 years ago
What is the least common denominator of 1/7,2/5 and 2/3?
Maurinko [17]

Answer:

105 is the least common denominator

Step-by-step explanation:

Since 7, 5 and 3 are all prime.

LCM would be 7×3×5 = 105

5 0
3 years ago
Read 2 more answers
A pennant is a shape of a triangle has a base of 12 inches and a height of 30 inches. What the area of the pennant?
Korolek [52]

Answer:

180 square inches

Step-by-step explanation:

Area, A is given by A=0.5bh where b is base and h is height. Since both of these dimensions are provided then we substitute the given figures into the formula. Substituting 12 inches for base, b and 30 inches for height, h then the area will be equivalent to

A=0.5*12*30=180 square inches.

Therefore, the area of the described triangle is 180 square inches.

6 0
3 years ago
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