Answer:
It'll take 12 years
Step-by-step explanation:
Given
Type A:
[tex]Initial\ Height = 10ft[/tex]
[tex]Growth = 19in[/tex]
Type B:
[tex]Initial\ Height = 4ft[/tex]
[tex]Growth = 25in[/tex]
Required
Determine the years they'll reach the same height
First, convert feet to inches in both measurements (this is done by multiplying measurement by 12):
Type A:
[tex]Initial\ Height = 10ft[/tex]
[tex]Initial\ Height = 10 * 12in[/tex]
[tex]Initial\ Height = 120in[/tex]
Type B:
[tex]Initial\ Height = 4ft[/tex]
[tex]Initial\ Height = 4 * 12in[/tex]
[tex]Initial\ Height = 48in[/tex]
The height at any year from both trees is calculated using
[tex]Height = Iniital\ Height + Growth * x[/tex]
Where x represents the year;
For Type A:
[tex]Height = 120+ 19 * x[/tex]
[tex]Height = 120+ 19x[/tex]
For Type B:
[tex]Height = 48+ 25 * x[/tex]
[tex]Height = 48+ 25x[/tex]
To get when their height will be equal, we simply equate both expressions:
[tex]48+ 25x = 120 + 19x[/tex]
Collect Like Terms
[tex]25x - 19x= 120 - 48[/tex]
[tex]6x= 72[/tex]
Solve for x
[tex]x = 72/6[/tex]
[tex]x = 12[/tex]
Hence, It'll take 12 years
Please help me I don't understand the equation
Answer:
0.00284090909
Step-by-step explanation:
It’s basicly a unit conversion that converse whatever you have to miles/h, so you are getting a miles and get a time and do the math, the final answer will be 180/(5280*12)=0.00284090909
Malik and Mia both converted to a decimal. Malik says
the answer is 0.45 and Mia says the answer is 0.45. Which
answer is correct? Explain why that is the correct answer, and
the other is incorrect.
Answer:
0.45=0.45 so they are either both wrong or both correct
Step-by-step explanation:
both answers are probably correct
If Liana needs $5 to buy 6 mechanical pencils, how much money does she need to buy 7 pencils?
the first one TO GET IT CORRECT will get brainliest plus 11 points :)
Answer:
6 x 2.5 = 15
8 x 2.5 = 20
L x W = 300 square units
Step-by-step explanation:
Brainliest?
Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.
Answer:
9
Step-by-step explanation:
please help asap, will mark brainliest
Answer:
The answer is 122.07 if you round it, but the full decimal is 122.065556157
14x3 + 6x2 + 12xy2 =
Answer:
2x⋅(7x2−3x+6y 2 )
Step-by-step explanation:
11=x-(-20) do not know how to solve trynna get grade up
Answer:
11/20 ; 0.55
Step-by-step explanation:
11= 20x
20x= 11
x= 11/20 ; 0.55
Answer:
x = −9
Step-by-step explanation:
Step 1: Simplify both sides of the equation
11 = x + 20
Step 2: Flip the equation
x + 20 = 11
Step 3: Subtract 20 from both sides
x + 20 − 20 = 11 − 20
x = −9
PROVE THAT TWO TRIANGLES ARE CONGRUENT USING THE SAS CONGRUENCE CRITERIA PLEASEEEEE I NEED ASAP DUE IN 15 MINS PLEEEEASE
Answer:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The length of DE is congruent to the length of FG, which is sqrt(5). The length of EF and GH are congruent too. Two pairs of sides are congruent, one pair of angles are congruent (vertical), SAS
A sergeant received an order to relocate the squad from its current location T (3, -2) on the coordinate plane to a new location S. The movement of the squad is described by the translation (x, y)⟶(x-4, y+6). What are the coordinates of the new location S of the squad?
Answer:
(-9,-2)
Step-by-step explanation:
The translated coordinates are (-1,4).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. The translation is done on the coordinate plane a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that A sergeant received an order to relocate the squad from its current location T (3, -2) on the coordinate plane to a new location S. The movement of the squad is described by the translation (x, y)⟶(x-4, y+6).
The translated points will be calculated as below:-
( 3, -2 ) ⇒ [ ( 3 - 4 ) , ( -2 + 6 ) ]
( 3, -2 ) ⇒ [ ( -1 ) , ( 4 ) ]
Therefore, the translated coordinates are (-1,4).
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The population of fish in a take was approximately 5.4 * 10 ^ 4 in 2012. The next year, 2013population tripled What was the opproximate population of fish in this in 2013?
Pleaseeee
The population of fish in a lake was approximately 5.4 * 10 ^ 4 in 2012.
The approximate population of fish in this in 2013 since the amount of the fish tripled is 1.62 × 10⁵
Scientific notation is the proper format of denoting and representing large numbers into simpler forms multiplied by raising them to the power of 10.
Given that:
The approximate number of fish in 2012 is: 5.4 × 10⁴In 2013, when the population of the fish tripled the amount it was in 2012;
Then, we can calculate the total population of fish in 2013 as:
[tex]\mathbf{=( 5.4 \times 10^4) \times 3}[/tex]
= 162000
= 1.62 × 10⁵
Therefore, we can conclude that the approximate population of fish in 2013 is: 1.62 × 10⁵
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In a survey of 2,700 people who owned a certain type of car, 1,755 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
65%
Step-by-step explanation:
survey of 2,700 people who owned a certain type of car, 1,755 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Total car number of car owner= 2,700
Then the percentage that satisfied is
1,755
1755/2700*100= 65%
7. Is y = x - 4 a linear function?
Answer:
yes it is cause it has a slope and stuff
Answer:
yes
Step-by-step explanation:
What is the solution to the following system??
A) (2.5,0)
B) (5,1)
C) (0,2)
D) (1,5)
Answer:
C
Step-by-step explanation:
at least i think so
What is the area of the figure down below
2. Factor completely
16x^5 - 48x^4 + 40x²
Answer:
8x^2(2x^3 - 6x^2 + 5).
Step-by-step explanation:
The GCF is 8x^2 so we have:
8x^2(2x^3 - 6x^2 + 5)
the ratio of the heights 1.50 cm and 75 cm of two person can be written as
Answer:
1 : 50
Step-by-step explanation:
1.50 : 75
Multiply by 2 so there are no decimals.
3 : 150
Divide by 3 to simplify.
1 : 50
Answer:
1:50 & 1:5
The ratio of heights 1.50 m and 75 cm of two people can be written as 1:50 and 1:5.
Traci collects donations for a dance marathon. One group of sponsors will donate a total of $6 for each hour she dances. Another group of sponsors will donate $75 no matter how long she dances. What number of hours, to the nearest minute, should Traci dance if she wants to raise at least $1,000?
Answer:155 hours
Step-by-step explanation:
$75+$6h=$1,000
Subtract $75 on both sides:
$75-$75+$6h=$1,000
$6h=$925
Divide 6 on both sides:
6/6h=925/6
h=154.1666667
After I rounded it and it was 155 hours
Does 3x-2=2x-3have infinitely many solutions
Hi there! :)
[tex]\large\boxed{\text{One solution: x = -1}}[/tex]
3x - 2 = 2x - 3
Subtract 2x from both sides:
3x - 2x - 2 = 2x - 2x - 3
x - 2 = - 3
Add 2 to both sides:
x - 2 + 2 = -3 + 2
x = -1
Therefore, the equation only has ONE solution.
PLEASE PLEASE PLEASE HELP ME PLEASE!!
Answer:
x=14 to make the pay equal.
Step-by-step explanation:
Okay so what I did here is kind of time-consuming and I'm sure there's a better way, but I used a calculator to substitute a lot of different numbers into the equation to make it equal, and when I got to 14, the equations both ended up as 625.
Pedro is getting balloons for his grandfather's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Pedro wants to get 46 balloons, how many yards of string will he need?
Answer:
276
Step-by-step explanation:
This package of sliced cheese costs $2.97. How much would a package with 18 slices cost at the same price per slice?
Answer:
$53.46
Step-by-step explanation:
The answer is 53.46 because 2.97 multiplied by 18 is 53.46
40 ÷ 1+ 3 - ( 3 × 7) + 7 - 5
Answer:
24
Step-by-step explanation:
Visit lives 5km from the school. She walks 1km at 4km/h and travels the rest of the way by bus at 16km/h. What is the average speed for the whole journey
Answer:
0.63km/h
Step-by-step explanation:
Step one:
given data
total distance= 5km
velocity of walk= 4km/h
distance covered while walking= 1km
time taken to walk
t1= 4/1
t1= 4hours
Step two:
velocity of bus= 16km/h
distance covered while walking= 5-1= 4km
time taken to walk
t2= 16/4
t2= 4hours
total time = 4+4=8hours
Average speed= total distance/total time taken
average speed= 5/8
average speed=0.63km/h
Find the equation of OP.
F (x + 4)2 + (y – 2)2 = 3
G (x + 4)2 + (y - 2)2 = 9
H (x – 4)2 + (y + 2)2 = 3
J (x - 4)2 + (y + 2)2 = 9
Answer:
G
Step-by-step explanation:
BRAINLIEST + FRIEND IF U ANSWER MY QUESTION!!!
Answer:
Sam Houston
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
I think it's D. Sam Houston
Step-by-step explanation:
The length and width of a 6-inch by 8-inch photograph are reduced by the same amount to make a new photograph whose area is half that of the original. By how many inches will the dimensions of the photograph have to be reduced?
Answer:
The dimensions have to be reduced by 2 inches
Step-by-step explanation:
Given that the dimensions are: 6 by 8 inches which means that the area is 48 square inches.
Let x be the amount to make a new photo which is half of the area that means
The new dimensions will be: (8-x) by (6-x) and as the area is half
The area of new photo will be: 48/2 = 24
Putting it mathematically
[tex](8-x)(6-x) = 24\\8(6-x)-x(6-x)=24\\48-8x-6x+x^2=24\\48-14x+x^2=24\\x^2-14x+48-24=0\\x^2-14x+24=0\\x^2-12x-2x+24=0\\x(x-12)-2(x-12)=0\\(x-2)(x-12)=0\\x-2=0 => x=2\\x-12=0 =>x=12[/tex]
Subtracting 12 from both dimensions will make them negative so 12 cannot be the solution.
Hence,
The dimensions have to be reduced by 2 inches
We want to see by how much we must reduce the dimensions of the photograph in order to reduce its area to half. We will find that we must reduce each measure by 2 inches.
The original measures of the photograph are:
length = 6 inwidth = 8 in.Then the area is:
A = (6 in)*(8 in) = 48 in^2
Now we want to define a new length and a new width:
L' = (6 in - n)W' = (8in - n)such that:
A' = L'*W' = 24 in^2
(6 in - n)*(8in - n) = 24 in^2
48in^2 - n*14 in + n^2 = 24 in^2
n^2 - n*14 in + 24in^2 = 0
This is a quadratic equation, we can solve this for n by using Bhaskara's formula, we will get:
[tex]n = \frac{14in \pm \sqrt{(-14)^2 - 4*1*24in^2} }{2*1} \\\\n = 7in \pm 5 in[/tex]
The only solution that makes sense is:
n = 7in - 5in = 2in
This means that we need to reduce each measure by 2 inches.
If you want to learn more, you can read:
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Janice bought 28 apps for her phone that, altogether, used 1,348 MB of space. If half of the apps were free and the other half were $1.99 each, about how much money did she spend?
Answer: $ 27.86
28÷2=14
14×1.99= 27.86
I hope this is good enough:
Answer:
$28
Step-by-step explanation:
1,348/28
1,200/30
Each app used about 40 MB memory.
28/2= 14 apps
14*1.99=
14*2
=28
She spent about $28.
how do you change a rational number to a decimal? give an example
Answer:
If the rational number is a fraction (of course) divide it. For example, 1/2 can be divided as 1 divided by 2 which is 0.5.
If the number is an integer, you can simply just add .0 (point zero). For example, if the rational number is 12, the decimal version would be 12.0.
If the number is a fraction, you can divide the numerator by the denominator. For example, if the rational number is 1/10 (one tenth), just can divide one by zero to get 0.1 (zero point one).
x - 4y = 28
x+2y = -2
it’s substitution
Step-by-step explanation:
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