A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.

Let the variable t represent time in years and let the variable h represent height in feet.

In how many years will the trees be the same height?

Which system of equations can be used to solve this problem?




{h=1+4th=0.5+6t

{h=4+th=6+0.5t

{h=5th=6.5t

{h=4−th=6−0.5t

Answer:

25/36

Step-by-step explanation:

Answer:

The answer is in the picture :)

Step-by-step explanation:

Answer:

The original price was $100

Step-by-step explanation:

[tex]\frac{60 dollars}{x} = \frac{60 percent}{100 percent} \\x = \frac{100percent*60dollars}{60 percent}\\ x = 100 dollars[/tex]

Answer:

  x/y = 9/7

Step-by-step explanation:

One way to form the equation is to write the proportion using a division symbol instead of a colon:

  x/y = 9/7

__

If you like, you can solve this for y:

  y = 7/9x

Answer:

Step-by-step explanation:

part a is -6

part b is -7.5

Answer:

Step-by-step explanation:

Part A:

warmer than => -

=> 7-13=-6

Part B:

Hours between 11 pm and 5 pm = 6.

6*(-1,25)=-7,5

Answer:

32.1%

Step-by-step explanation:

Out of 60 lambs born on BaaBaa farm, the most amount of 35 to be male? The answer is 32.1% because if you round it to the nearest tenth, The answer will be 32.1%.

Answer:

y=6x-11

-2-3y= -7

open bracket

collect like terms

= -11 -2 -7 =

-×- = +

11+2=12-7=5

Answer:

If it INCREASES then it is going closer towards zero since it is negative. So subtract 8 from (-7) and you get -15

so D is your answer

Answer:

The mode if 5, because 5 occurs 8 times, which is more than any other numbers occurring more than once. The median is 6, and this is because when you line up the numbers in order and cross them off to find the middle number, it is 6. I rounded to the mean to about 6.4. I got this by adding all of the numbers up, or by doing 12 + 40 +18 +7, etc, and got the total of 165. Because there is a total of 26 data points, I divided those numbers and got 6.3461, which ends up rounding to 6.4.

Step-by-step explanation:

I just did it

Answer:

The side lengths are 84, 63 and 28

Step-by-step explanation:

The shortest side of a triangle is 13 cm.

Let x be the longest side

y be the shortest side

z be the other side

x + y + z = 50 ...........(1)

x = y + 8 ...........(2)

z = y + 3 ............(3)

Replace x with y+8 in equation 1

Replace z with y + 3 in equation 1

To estimate the value for y,

(y+8) + y + (y+3) = 50

Simplifying the above equation, we get

3y + 11 = 50

3y = 50-11

3y = 39

y = 39/3

y = 13 cm

Therefore, the shortest side of a triangle is 13 cm.

To learn more about perimeter of a triangle

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Answer:

18

Step-by-step explanation:

90 degree angle so

90-54=36

36 / 2 = 18

Solution:

Reviewing the BODMAS:

Solving the expression:

The solution to the expression is 16.

Answer:

Step-by-step explanation:

Evaluation                                                              Operation

= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10                   Parenthesis

= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10                      Divide        

= 56 - 2(20 + 3 x 3 - 2 x 2) + 10                             Multiply

= 56 - 2(20 + 9 - 4) + 10                                           Add

= 56 - 2(29 - 4) + 10                                              Subtract

= 56 - 2(25) + 10                                                    Multiply

= 56 - 50 + 10                                                        Subtract

= 6 + 10                                                                    Add

= 16                                                                        Result

Learn more:

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Social studies

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Mathematics

brainly.com/question/26537282

Divisibility - Math

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Mathematics

Thank You!

Answered by: ms115

#learnwithbrainly

Answer:

Solution:

Here,the denominators are 3 and 8

We have,3×8=24 and 8×3=24.

Now,

[tex] \displaystyle{ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} }[/tex]

[tex] \displaystyle \frac{4}{8} = \frac{4 \times 3}{8 \times 3} = \frac{12}{24} [/tex]

Since,16>12,

So,

[tex] \displaystyle \: \frac{16}{24} > \frac{12}{24} [/tex]

i.e.

[tex] \displaystyle \frac{2}{3} > \frac{4}{8} [/tex]

Method of cross product:

[tex] \displaystyle \: \frac{2}{3} \: or \: \frac{4}{8} [/tex]

[tex] \displaystyle2 \times 8 = 16 \: \: \: \: \: > \: \: \: \: \: 3 \times 4 = 12[/tex]

[tex]16 > 12[/tex]

[tex] \displaystyle \therefore \: \frac{2}{3} > \frac{4}{8} [/tex]

[tex] \displaystyle{Thus,the \: fraction \: \frac{2}{3} \: is \: greater \: than \: the \: fraction \: \frac{4}{8} . }[/tex]

Step-by-step explanation:

[tex] \frak \green{BrainlyFairy}[/tex]

Solution:

Step-1: Make the denominators of both fractions the same.

Step-2: Compare both the fractions.

Since 16/24 is greater than 12/24, 2/3 is greater than 4/8.

Answer:

A.9

Step-by-step explanation:

it asks how many the shelf can hold which would mean you should divide :

Answer:

5.14 x10^-2

Step-by-step explanation:

We move the decimal 2 places to the left so it is to the power of -2

Answer:

Step-by-step explanation:

Let the height of the tower is a and the shadow is b.

When connected, these segments form a right triangle.

We are looking for the angle x opposite to side a.

Use trigonometry to find it:

Answer:

Statistics

Step-by-step explanation:

a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data

Answer:

Step-by-step explanation:

The opposite of 945 is -945.

the opposite of -945 is 945.

The opposite of the opposite of 945 is 945.

Answer:

4i and -4i

Step-by-step explanation:

4.5x^2 = -72

x^2 = -16

x=-4i, 4i

hi, I would appreciate it if u upvote it, thank you

Step-by-step explanation:

I think y axis and x axis shows the light colour not sure about it

Answer:

x = 18

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

72/64 = x/16

x = 18

Answer:

3 : 4

Step-by-step explanation:

Given:

ratio of people who voted to total number of registered voters:

To find the approx ratio, round both numbers to the nearest hundred:

Therefore, 887 : 1213 ≈ 900 : 1200

The greatest common factor of 900 and 1200 is 300,

so we can reduce the ratio further by dividing both sides by 300:

⇒ 900 : 1200 = 3 : 4

Answer:

D

Step-by-step explanation:

A=(1/2)(5)(13.5+9.5)=57.5

Answer:

D. 57.5cm^2

Step-by-step explanation:

A(-1;14), x=-1, y=14

B(2;-10), x=2, y=-10

General equation for linear function is [tex]y=mx+b[/tex]

Let's solve system of equations

[tex]\displaystyle\\\left \{ {{14=-1m+b} \atop {-10=2m+b}} \right. \\\\\left \{ {{b=14+m} \atop {2m+b=-10}} \right. \\\\2m+(14+m)=-10\\3m=-24\\m=-8=>b=14+(-8)=6\\\text{Answer}: y=-8m+6[/tex]

Answer:

x > -22/7

Step-by-step explanation:

Given inequality:

- 7x - 15 < 6

adding 15 to both sides:

==> -7x - 15 + 15 < 6 + 16

==> -7x < 22

dividing both sides by 7:

==> -x < 22/ 7

multiplying both sides by -1

(anytime you multiply the inequality by -1 you must flip the inequality sign– replace the "<" with ">")

==> x > -22/7

Answer:

38.75

Step-by-step explanation:

62*5/8=38.75

Answer:

38 3/4

Step-by-step explanation:

5/8 of 62 = 5/8 x 62

               = (5 x 62) ÷ 8

               = 310 ÷ 8

               = 38 3/4

Answer:

He ran 1,186 m farther

Step-by-step explanation:

4 km => 4000 m

now,

5,186 m - 4,000 m

=> 1,186 m