The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other is 242424 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?

Answers

Answer 1

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

[tex]4x-y=24[/tex]            (iii)

Add (i) and (iii), we get

[tex]5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9[/tex]

Put value of x in (i), we get

[tex]9+y=21\Rightarrow y=12[/tex]

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Answer 2

Answer:

Each fir tree is  9  meters tall and each pine tree is  12  meters tall.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

The Combined Height Of One Fir Tree And One Pine Tree Is 212121 Meters. The Height Of 444 Fir Trees Stacked

Related Questions

the same digits are used for the expression 2^5 and 5^2 explain how to compare the value of the expressions

Answers

Answer:

5^2 < 2^5

Step-by-step explanation:

2^5 = 2x2x2x2x2 = 32

5^2 =  5x5 = 25,

since 25 is less than 32, the comparison 5^2 < 2^5 is correct, or 25 < 32

The value of 2^5 is greater than 5^2.

What is an expression?

An expression in maths a sentence with a minimum of two numbers or variables and at least one math operation.

Given that the same digits are used for the expression 2^5 and 5^2

2^5 = 32

5^2 = 25

Therefore, 2^5 > 5^2

Hence, The value of 2^5 is greater than 5^2.

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2.5x - 4 = 41

i do not think it is x=18

Answers

Answer:

x=18

Step-by-step explanation:

you are correct all you do is add the four to 41, which is 44. you then divide 2.5 it equals 18

Answer:

18

Step-by-step explanation:

2.5x - 4 = 41

add 4 to both sides

2.5x = 45

divide both sides by 2.5

x = 18

Determine the intercepts of the line.
y-intercept:
x-intercept:
y
1
0.8
0.6-
0.44
0.2
x

+
0.2
0.6
2.4
-0.8
0.8
-0.6 -0.4 -0.2
-0.2-
-0.47
-0.6
-0.8

Answers

Answer:

y-intercept= (0, 0.4)

x-intercept = (0.3, 0)

Step-by-step explanation:

The intercept is where the line crosses the axis, and a coordinate is written out as, (x,y).

With this knowledge in mind, for the y-intercept, the x coordinate would be 0, and the y coordinate would be 0.4, which is where it crosses the y axis. This would make the y-intercept (0, 0.4).

For the x-intercept, the y coordinate would be 0, and the x coordinate would be where the line crosses the axis, making it 0.3. With these numbers and coordinates in mind, the coordinate for where the line intercept the x axis is (0.3, 0).

The poster that lists the classroom rules in Mrs. Akin’s classroom has a length of 23 yard and a width of 34 yard. image aa2b159187a4443a9dd36a9dfe9e29b8 What is the area of the poster

Answers

Answer:782

Step-by-step explanation: area equals length x width so your length is 23 and your width is 34 so you have to do 23x34

Answer:

2/3

Step-by-step explanation:

because i said so

What is the
range of
the quiz
grades?

Answers

Answer:

25

Step-by-step explanation:

In order to find the range, you have to subtract the smallest number from the largest number.  100 - 75 = 25.

Hope this helped!

the range of quiz grades is 25!

What are the scale factor and center of dilation?

Answers

shreks poop that fell on the ground

B. Solve:
1. An item price at P3,600 has a 25% discount. Find the
discounted price.

2. John lives twice as far from school as Mona does. If
the total distance that John and Mona travel every
school day is 8.7 km, how far from school does John
live?

3. Find two consecutive integers whose sum is 143.
(hint: let x-the first integer, X+1-second integer)​

Answers

Answer:

1. 3600 x 25 ÷100 =900

there fore the discount price is p900

3. it means if you add to integers you get 143

so x +x+1=143

2x +1=143

2x+1-1=143_1

2x=142

2x/2 =142/2

x=71

x+1=71+1=72

1.
3/4 x 3600= 2700
Answer: P2700
2.
8.7/3=4.9
4.9x2=5.8
Answer: John lives 5.8 km from school
3.
x+x+1=143
2x=142
X=71
Answer: 71,72

Can anybody help me with this question
I’ll mark you as a brainliest

Answers

Answer:

1 over 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

If by what is the measure of angle CBD you mean the degrees then I would say it is 45 degrees.

the marked price of a shirt was sh 150 a customer paid sh 135 after being allowed a discount how much was the percentage discount​

Answers

Answer:

The discount is 10%

The difference between the original price and the discounted price is $15

150-135 = 15

[tex]\frac{150}{15} = 10%[/tex]

                                      (Original price)

Discount =   ------------------------------------------------------

                       (Original Price - Discounted Price)

Check your answer:

1) 150 (0.10) = 15

2) 150- 15 = 135

Hope this helps (:

Please rate thanks!

ill give Brainliest,

Morgan earns 6$ per hour babysitting. whats a expression to determine the total amount of money Morgan earns.

(its question 17)

Answers

Answer:

$6x

Step-by-step explanation:

If x is the number of hours she works then the expression would be $6x.

-54, 432 ÷ (-12) =. I need help:))))

Answers

Answer:

4536

Step-by-step explanation:

yes

11/44 as a equivalent fraction

Answers

Answer:

1/4

Step-by-step explanation:

11/44 = 1/4

Divide the numerator and the denominator by 11

11 ÷ 11 / 44 ÷ 11

1/4

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

1/4

Step-by-step explanation:

11/11= 1, 44/11= 4

n
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
O y=-x+9
y=-*x+5
y=-3x - 11y
y=-3x + 25

Answers

Answer:

Y=-3x-11y

Step-by-step explanation:

Not sure but I am pretty sure it is this

A solution of the equation 2x2 + 3x + 2 = 0 is

Answers

Answer:

Not sure but gave it a try

Step-by-step explanation:

The equation is called the Quadratic Formula

I'm sorry i tried my best but x=0 is the only thing i got even though it's wrong

if there was a x for 2 it would be correct.

2(0)^2 + 3(0) + 2 = 2

Step-by-step explanation:

Pls will mark brainliest if right!
Determine if the conditions stated would result in a unique quadrilateral?
A. a trapezoid with three 12-yd sides (yes or no)
B. a rhombus with a perimeter of 36 ft. and one right angle (yes or no)
C. a quadrilateral with four 9-ft. sides and two acute angles (yes or no)
D. a rectangle with a length that is 5-inch. less than width
C. a parallelogram with a right angle, two 7-mm and two 8-mm sides

Answers

Answer:

A) no

B) yes

C) no

D) yes

E) yes

Step-by-step explanation:

hat value for the constant, in the equations own below will result in an infinite number ofsolutions?6x+18=h(3x+ 9)A.−2B.−3C. 2D.

Answers

Answer:

The answer is 2.

Step-by-step explanation:

[tex]6x + 18 = h(3x + 9) \\ 2(3x + 9) = h(3x + 9) \\ then \: \\ h = 2[/tex]

find the radius length if the arc length is 8m and the central angel is pi over 4

Answers

Answer:

r ≅ 10.2m

Step-by-step explanation:

Use formula: s = r * θ

s = arc length

r = radius

θ = angle in radians

8 = r * π/4

r = 32/π

r ≅ 10.2m

please help me with this question

In engineering, equilateral triangles can support the most weight and so are commonly found in the design of bridges and buildings. Equilateral triangles are triangles with three congruent sides and three congruent angles. What are the measures of the angles of an equilateral triangle?​

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is your answer....

Yes, because a equilateral triangle has 3 equal angles. The 3 angles of a triangle equal 180°. So if the angles are all equal in an equilateral triangle, we do 60 times 3 which equals 180°.

hope it helps you,

Mark me as the brainliest.....

Follow me!

Solve the equation for y. 7x + y = 10

Answers

Answer:

y=10

Step-by-step explanation:

Let x equal 0

7(0)+y=10

0+y=10

y=10

7x+y=10
7x-7x+y=10-7x
0+y=10-7x
y= -7x + 10

the grocery store clerk​

Answers

Answer:

. . .cussed out the customer for being . . . du mb?

Step-by-step explanation:

The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angles is 140°. Determine the measure of each angle in degrees.

Answers

Answer:

The two angles are 25.5 and 114.5

Step-by-step explanation:

x = measure of one angle

5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}

x + 5x - 13 = 140 {sum of the two angles is 140}

6x - 13 = 140 {combined like terms}

6x = 153 {added 13 to each side}

x = 25.5 {divided each side by 6}

5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}

hey guys I need help for this math problem is about function thanks if you can have a good day

Answers

With my knowledge
C and e are function
Function can have x value repeat
But only one y value

If you answer I’ll make you the brainiest

Answers

Answer:

the second one

Step-by-step explanation:

if it is right pls mark brainliest thanks :)

after a few mathletes join the team, the team is able to solve 40% more problems per session. Of the team can solve 42 problems per session now, how many problem were they able to solve before the new mathletes joined?

Answers

Answer:

30

Step-by-step explanation:

Ur Welcome

The number of problems they were able to solve before the new mathletes joined, 30

What is the percentage?

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

After a few mathletes join the team, the team is able to solve 40% more problems per session

Let X be the number of problems the team was able to solve before the new mathletes joined.

We know that after the new mathletes joined, they were able to solve 42 problems per session, which is 40% more than before, so:

X x 1.40 = 42

Solving for X:

X = 42 / 1.40 = 30.

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In the given trapezium PQRS , A and B are the mid - points of the diagonals QS and PR respectively. Prove that :
1. AB [tex] \parallel[/tex] SR

2. AB = [tex] \frac{1}{2} [/tex] ( SR - PQ )

[ Hint : Join Q and B and produce QB to meet SR at C ].

~Thanks in advance !

Answers

Answer:

See Below.

Step-by-step explanation:

In the given trapezoid, A and B are the mid-points of QR and PR, respectively.

Question 1)

Please refer to the first diagram below.

As instructed, we will join Q and B to produce QB to meet SR at C.

Statements:                                                Reasons:

[tex]1)\text{ } PQ\parallel SR[/tex]                                                 Given

[tex]2)\text{ } \angle RCQ\cong \angle PQC[/tex]                                     Alternate Interior Angles Theorem

[tex]3)\text{ } B \text{ is the midpoint of } PR[/tex]                        Given

[tex]4)\text{ } PB=BR[/tex]                                               Definition of Midpoint

[tex]5)\text{ } \angle CRB\cong \angle QPB[/tex]                                    Alternate Interior Angles Theorem

[tex]6)\text{ } \Delta CRB\cong \Delta QPB[/tex]                                    AAS-Congruence

[tex]7)\text{ } QB\cong CB[/tex]                                               CPCTC

[tex]8)\text{ }A\text{ is the midpoint of } SQ[/tex]                         Given

[tex]9)\text{ } SA=AQ[/tex]                                                Definition of Midpoint

[tex]10)\text{ } AB\parallel SR[/tex]                                               Triangle Midsegment Theorem

Question 2)

(We will use the proven statements above as "given.")

(And please continue referring to the first figure provided.)

Statements:                                             Reasons:

[tex]1)\text{ } AB\parallel SR[/tex]                                               Given

[tex]2)\text{ } \angle QSR\cong\angle QAB[/tex]                                   Corresponding Angles Theorem

[tex]3)\text{ } \angle SCQ\cong\angle ABQ[/tex]                                   Corresponding Angles Theorem

[tex]4)\text{ } \Delta SCQ\sim \Delta ABQ[/tex]                                  Angle-Angle Similarity

[tex]5)\text{ } \displaystyle \frac{SQ}{AQ}=\frac{SC}{AB}[/tex]                                            CSSTP

[tex]6)\text{ } A\text{ is the midpoint of } SQ[/tex]                       Given

[tex]8)\text{ } SA=AQ[/tex]                                              Definition of Midpoint

[tex]9)\text{ } SQ=SA+AQ[/tex]                                    Segment Addition

[tex]10)\text{ } SQ=2AQ[/tex]                                          Substitution

[tex]11)\text{ } \displaystyle \frac{2AQ}{AQ}=\frac{SC}{AB}[/tex]                                        Substitution

[tex]12)\text{ } \displaystyle 2=\frac{SC}{AB}[/tex]                                               Division Property of Equality

[tex]13)\text{ } 2AB=SC[/tex]                                          Multiplication Property of Equality

[tex]14)\text{ } SR=SC+CR[/tex]                                   Segment Addition

[tex]15)\text{ } \Delta CRB\cong\Delta QPB[/tex]                                Given

[tex]16)\text{ } CR\cong PQ[/tex]                                            CPCTC

[tex]17)\text{ }SR=SC+PQ[/tex]                                   Substitution

[tex]18)\text{ } SC=SR-PQ[/tex]                                   Subtraction Property of Equality

[tex]19)\text{ } 2AB=SR-PQ[/tex]                                 Substitution

[tex]\displaystyle 20)\text{ } AB=\frac{1}{2}(SR-PQ)[/tex]                              Division Property of Equality

Answer:

Given: In trapezium PQRS, A and B are midpoints of diagonals PR and QS.

To Show: AB=1/2(SR-PQ).

Construction:draw midpoints C and D of SP and RQ respectively and join CA and BD

Proof: In triangle SPQ ,C and B are midpoints of SP and SQ

Therefore,by midpoint theorem

CB || PQ and 2CB= PQ ......1

In triangle QSR B and D are midpoints of QS and RQ

Therefore, by midpoint theorem

BD II SR and 2BD =SR..2

In triangle SPR C and A are midpoints of SP and RP

Therefore by midpoint theorem

CA = 1/2 SR .3

From 2

2 BD = SR =

BD =1/2 SR ........4

From 3 and 4

CA = BD ........,.......5

From 1 and 2

SR -PQ= 2 BD -2 CB -

SR-PQ = 2( BD-CB)

From 5

CA = BD ,

Therefore,

1/2(SR-PQ) =AB

AB= 1/2(SR-PQ)

Hence Showed

Help So this is from geometry and I’m kind of confused???

Answers

Answer:

4√6 /3

Step-by-step explanation:

Will a fraction increase or decrease and by what percent if its numerator is increased by 20% and its denominator is increased by 50%?
The fraction will increase or decrease by what percent

Answers

Answer:

increase by the percent

The fraction will decrease by 20%.

What is Fraction?

A fraction represents a part of a whole.

Let's assume the original fraction to be x/y.

If we increase the numerator by 20%, it becomes 1.2x.

If we increase the denominator by 50%, it becomes 1.5y.

So, the new fraction will be:

(1.2x) / (1.5y)

Simplifying this expression, we get:

(4x/5y)

The new fraction is (4/5) times the original fraction.

Therefore, the fraction will decrease by 20%.

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Given b(x) - 1X+4. what is b(-10)?
-10
-6
6
14

Answers

Answer:

D. 1×10⁻⁸ M

Explanation:

[H⁺] [OH⁻] = 10⁻¹⁴

(1×10⁻⁶) [OH⁻] = 10⁻¹⁴

[OH⁻] = 1×10⁻⁸

The answer is -6 you welcome :)

Simplify. Please help me

Answers

Answer:

B

Step-by-step explanation:

BDNSNSLWPAMDBDJDHZHDBDNDMDMMDFMFKKF

solve the equation -16(d+1) =-20

Answers

Answer:

d= 1/ 4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

-16(d + 1) = -20

-16d - 16 = -20

-16d - 16 + 16 = -20 + 16

-16d = -4

-16d/-16 = -4/-16

d = 1/4

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