Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible.

Answers

Answer 1

Answer:

The plant grew [tex]12\frac{1}{14}[/tex] inches

Step-by-step explanation:

Operations with Fractions

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

[tex]6\frac{2}{7}+5\frac{11}{14}[/tex]

Let's convert both fractions to improper form:

[tex]6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}[/tex]

Adding the integers:

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}[/tex]

Now we find the LCM of 7 and 14 is 14, thus:

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}[/tex]

Rewriting as a mixed number:

The plant grew [tex]12\frac{1}{14}[/tex] inches


Related Questions

(sat prep) find the value of x

Answers

Answer:

140 degrees

Step-by-step explanation:

Im only a freshman, but i think i got it, i just assumed that the other small part at the bottom was also 20 degrees, which would mean that you are missing the 140 degrees from the 180 degree line

Answer:

120 degrees

Step-by-step explanation:

The bottom part is 40 degrees,

the two lines are parallel, so theoretically, you can just put them together. Then using vertical angles, you can tell it's 40 degrees.

40 + 20 = 60

180-60 degrees is 120 degrees.

Write as a decimal. 7/18 If necessary, use a bar to indicate which digit or group of digits repeats.

Answers

Answer:

0.38888888888889

7 divided by 18

Step-by-step explanation:

What is the equation, in point-slope form, of the line passing through the point (8, -3) with a slope of 5?

Answers

The answer would be ~y+3=5(x-8)~

Hope this helps

Have a great day/night

solve by factorizing x² + 8x + 15 + 0

Answers

Download

GET

Algebra

Factor

Factor the polynomial.

(

x

+

3

)

(

x

+

5

)

Tap to view FREE steps...

()|[]√≥

789≤

456/^×>∩∪

123-+÷<π∞

,0.%=

Factor

x

2

+

8

x

+

15

+

0

Regroup terms.

x

2

+

0

+

8

x

+

15

Add

x

2

and

0

.

x

2

+

8

x

+

15

Factor

x

2

+

8

x

+

15

using the AC method.

Tap for fewer steps...

Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

15

and whose sum is

8

.

3

,

5

Write the factored form using these integers.

(

x

+

3

)

(

x

+

5

)

Answer:

(x+3)(x+5)

Step-by-step explanation:

Please show the solving

Answers

Step-by-step explanation:

YELLOW TRIANGLE:

[tex] \sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6[/tex]

PURPLE TRIANGLE:

Since one of the angle is 45°, x = BC = 6

To prove:

[tex] \tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6[/tex]

PINK TRIANGLE:

[tex] \tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3} [/tex]

helppp i need help on question 1) b and d
2) d and e ​

Answers

Question:-

1. b) Factorise ➾ y² - 20y + 100

1. d) Factorise ➾ 48 - 13p - p²

2. d) Factorise ➾ 18y² - y - 4

2. e) Factorise ➾ 4m² - 27m + 18

Solutions:-

1. b) y² - 20y + 100

⇝ y² - 10y - 10y + 100 ( Splitting middle term )

⇝ y ( y - 10 ) - 10 ( y - 10 )

⇝ ( y - 10 )(y - 10 ) Ans.

1. d) -p² - 13p + 48

⇝ -p² - 16p + 3p + 48 ( Splitting middle term )

⇝ -p ( p + 16 ) + 3 ( p + 16 )

⇝ ( p + 16 )(3 - p ) Ans.

2.d) 18y² - y - 4

⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )

⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )

⇝ ( 2y - 1 )( 9y + 4 ) Ans.

2.e) 4m² - 27m + 18

⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)

⇝ 4m ( m - 6 ) - 3 ( m - 6 )

⇝ ( m - 6 )( 4m - 3 ) Ans.

HOPE IT CAN HELP U : )

PLEASE HELP I DONT KNOW THIS

Answers

Answer:

Exponential Growth

Step-by-step explanation:

The function is increasing and not decreasing. Because the base is greater than 1, the equation represents exponential growth. If the base were to be less than 1, then it would represent exponential decay.

Use addition to solve the system of linear equations. Include all of your work in your final answer.

Answers

Answer: No solutions

Step-by-step explanation:

You can either use substitution or elimination

You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions

Why is x = 6 a solution to the proportion 192/36 = 32/x ?

Answers

Because if 192/36 = 5.3333 and 32/6 = 5.3333 then the solution is right

Answer:

It is a solution because when you divide 192 by 36 you get 5 and one third. When you divide 32 by 6 you also get 5 and one third. This means they are equal.

Step-by-step explanation:

15 EASY POINTS.............

Answers

Answer:

x³+7x²+14x+8

Step-by-step explanation:

distribute!

(x³+3x²+2x)+(4x²+12x+8)

add the similar values

x³+7x²+14x+8

Answer:

do math

Step-by-step explanation:

Ty decided to invest $600 in an account and was able to take out $670 from the account
after 8 years. The interest in the account was compounded continuously. What was the
interest rate for his account?

Answers

The interest rate for his account was r ≈ 1.375% .

R= 1.375% is the answer to this

For a circle of radius 4 feet, find the arc lengeth, S subtened by a central angle of 26 degrees

Answers

Answer:

Exact answer = 26π/45 feet.

or we can write it as 1.815 feet to the nearest thousandth.

Step-by-step explanation:

The circumference of the circle = 2*4*π = 8π feet.

So the length of S = (26/360) * 8π

= 26π/45 feet.

PLZ HELP ILL GIVE BRAINLIEST PLZZZ

Answers

Answer:

8/9

Explanation:

2/9 x 4/1 = 8/9

At a restaurant, customers can order a hamburger, a cheeseburger, or a chicken sandwich as their main dish. With any of these main dishes they can order a side of french fries, onion rings or a salad . What is the total possible outcomes

Answers

There are 9 possible outcomes.

There are 3 types of burgers, so 3 events in which a certain burger is chosen, and 3 sides, so 3 events a certain side is chosen.

The total possible outcomes is equal to the number of events multiplied.
3x3 = 9 outcomes

A ball is thrown into the air from a height of 4 feet at time t=0. The function that models this situation is h(t)=-16t^2+63t+4. What will be the height of the ball after 2 seconds?

Answers

Answer:

66 feet

Step-by-step explanation:

We know that the t in the equation represents the time. So, substitute 2 for the t in the function and simplify to find the height after 2 seconds:

[tex]h(t) = -16t^2+63t+4\\h(2) = -16(2)^2+63(2)+4\\h(2) = -16(4)+126+4\\h(2) = -64 + 126+4\\h(2) = 66[/tex]

Thus, the height would be 66 feet.

Convert 27576 kilometres per hour to metres per second.

Answers

Answer:

27576 kilometres per hour = 7660 meter per second

SIBLE POINTS
The perimeter of the larger rectangle is 2 meters greater than twice the perimeter of the smaller rectangle. What is the perimeter of the larger
rectangle?
3x - 1
x + 1
4x - 5
Х

Answers

Answer:

U equal them

Step-by-step explanation:

An divide

Evaluate the expression 4x for x=5.
4x=
= when x = 5.
(Simplify your answer.)

Answers

The answer is 20. Ok?

Which expressions are equivalent to 12a+24b? Select all that apply. 10(2a+14b) 2(6a+4b) 6(2a+4b) 3(4a+8b)

Answers

Answer:

3(4a+8b)

Step-by-step explanation:

12a + 24b

= The common multiple between 12 and 24 is 3

3(4a + 8b)

Hence the expression which is equivalent to 12a + 24b is 3(4a+8b)

PLSSS HELP ME PLS THIS IS DUE TOMORROWW!!! will mark

Answers

The answer would be slope=3

Hope this helps

Have a great day/night

If you want me to explain I can

Richmond High School has 1900 students and is shrinking by 15 students per year. Write a rule that represents the population at Richmond High School. Let x represent years and y represent population.

Answers

Answer:

y = -15x + 1900

Step-by-step explanation:

This is correct because, your base number is 1500, so that is your y-intercept. The school's population is shrinking by 15 students per year so, that becomes your slope. Hope I helped. ;)

3. Fill the blanks to make the equivalent ratios. :9 = 10: 45 a. b. : 3 = 3:9​

Answers

Answer:

:/

Step-by-step explanation:

an algebric expression that is true for all types of variable is called​

Answers

Answer:

An equation that is satisfied for every value of the variable for which both sides of the equation are defined is called an identity. Conditional equations are true for some values of the variable and false for others. Contradictions are false for all values of the variable.

Step-by-step explanation:

How do you solve 3x7x4 using parentheses

Answers

Answer:

84

Step-by-step explanation:

Answer:

either (3x7)x4   or (3)(7)(4)

Step-by-step explanation:

A water tank contains 320 litres of water, correct to the nearest 10 litres. 50 litres of water, correct to the nearest litre, are removed from the tank. Calculate the upper bound of the amount of water left in the tank.

Answers

Answer:

[tex]N_l=270 litres[/tex]

Step-by-step explanation:

From  the question we are told

Total litres of water [tex]N_t=320[/tex]

Total litres removed [tex]N_r=50[/tex]

Generally the Total litres left in the tank N_l is mathematically given as

[tex]N_l=N_t-N_r[/tex]

[tex]N_l=320-50[/tex]

[tex]N_l=270 litres[/tex]

Therefore the total water left in the tank is

[tex]N_l=270 litres[/tex]

n < -4
need answers fast math test to at 11:59 pm today but gotta get done faster than that.
plz. and thank you!!

Answers

-5 or under
Plz mark Brainliest

Answer:

N would equal anything lower than -4 for example, -5 or -6

Step-by-step explanation:

yw

Find the area of the circle. Round to the nearest tenth. Use 3.14 or 22/7 for pie.

5.6 cm

a. 98.5 cm2
b. 8.8 cm2
c. 24.6 cm2
d. 17.6 cm2​

Answers

Answer:

98.5 cm2

Step-by-step explanation:

what is the domain and range for a^x and a^-x?

Answers

Answer: Domain: (−∞,∞), {x|x ∈ R}
Range: (−∞,∞), {y|y ∈ R}

Find the measure of FG.
Can someone help??

Answers

Answer:

28

Step-by-step explanation:

Side FG = Side DG.  Therefore, 5x - 17 = 3x + 1, or 2x = 18, or x = 9.

If x = 0 then the length of side FG is 5(9) = 17, or 28.

Determine the Value of x,y and z.

Answers

Answer:

x=9

y=16

z=12

Step-by-step explanation:

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