Expand
12x - 48 + 4x + 28
Collect like terms
(12x + 4x) + (-48 + 28)
Simplify
16x - 20
Answer:
16x - 20
Step-by-step explanation:
12(x-4)+4(x+7)
Applying the distributive law to both parentheses:-
= 12x - 48 + 4x + 28
= 16x - 20
the length of a recycling cart is 1.5 yards..1 yard is equal to 3 feet...what is the length in feet of the recycling cart
Answer:
4.5 feet
Step-by-step explanation:
Because one yard is 3 feet and half a yard is 1.5 feet and 3 plus 1.5 equals 4.5.
Can someone match all of these for me. 1. Molecules with the same molecular formula, but different structures. A. Dehydration Synthesis. 2. A general term for single unit that is repeated in a larger macromolecule. Example: an amino acid is repeated in a polypeptide chain. B. Enzyme. 3. A general term for a chain of units. C. Hydrolysis. 4. A chemical reaction that involves the addition of water to break down a larger molecule. D. Isomer. 5. A chemical reaction that involves two smaller molecules losing water to join together. E. Molecular Formula 6. The type of covalent bond that holds two amino acids together. F. Monomer 7. The way to write out a chemical that shows the ratio of atoms within it, Example: H20. G. Organic 8. The way to write out a chemical that shows the atoms are arranged. Example: H-O-H H. Peptide. 9. The type of chemistry that involves carbon. I. Polymer A protein that helps break down or make macromolecules. J. Structural Formula.
Final answer:
Each term is matched with its correct concept, revealing the fundamental concepts of biological macromolecules and their formation and breakdown through dehydration synthesis and hydrolysis.
Explanation:
Let's match each concept with its correct term:
Molecules with the same molecular formula, but different structures. - D. Isomer.A general term for a single unit that is repeated in a larger macromolecule. Example: an amino acid is repeated in a polypeptide chain. - F. Monomer.A general term for a chain of units. - I. Polymer.A chemical reaction that involves the addition of water to break down a larger molecule. - C. Hydrolysis.A chemical reaction that involves two smaller molecules losing water to join together. - A. Dehydration Synthesis.The type of covalent bond that holds two amino acids together. - H. Peptide.The way to write out a chemical that shows the ratio of atoms within it, Example: H20 - E. Molecular Formula.The way to write out a chemical that shows the atoms are arranged. Example: H-O-H - J. Structural Formula.The type of chemistry that involves carbon. - G. OrganicA protein that helps break down or make macromolecules. - B. Enzyme.Macromolecules such as proteins, carbohydrates, and nucleic acids are essential for life and are composed of smaller organic molecules called monomers. When these monomers join together through dehydration synthesis, they release a water molecule and form covalent bonds to create larger structures known as polymers. The opposite process, hydrolysis, involves adding water to break down polymers into monomers.
A person must be at least 4 feet tall to ride an amusement park ride. Which inequality represents the height, h, of a person who cannot get on the ride
Answer:
4≥x
Step-by-step explanation:
The person has to be at least four feet (=) or he can be higher (>).
Find the probability of Drawing a blue marble from a bag of 18 marbles, three of which is blue
Answer:
The probability is 3/18 which you can simplify down to 1/6. :) Hope this helps! And if you don't mind please mark as brainliest :)
Step-by-step explanation:
Answer:
3 out of 18 or 3/18
Are these rates equivalent, 96 words typed for 3 minutes; 160 words typed for 5 minutes
Answer:
Yes, they are.
Step-by-step explanation:
1st rate)Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:
[tex]\frac{3m}{3} = \frac{96}{3}[/tex]
m = 32
So the rate is 32 words per minute.
2nd rate5m = 160
Divide both sides by 5:
[tex]\frac{5m}{5} = \frac{160}{5}[/tex]
m = 32
So because the rates per minute are the same, they are equivalent.In this picture B and F are midpoints x=
Answer:
44 You will get the 2x and 88 and divide 88 by 2x
Step-by-step explanation:
Answer: The required value of x is 22.
Step-by-step explanation: Given that B and F are the midpoints of the sides AC and AE of triangle ACE.
Also, BF = 2x and CE = 88.
We are to find the value of x.
Midpoint theorem : If a line segment joins the midpoints of any two sides of a triangle, then it is parallel to the third side and its length is equal to half of the length of the third side.
From triangle ACE, we have
B and F are the midpoints of the sides Ac and AE respectively, so BF will be parallel to CE and its length will ne half of the length of side CE.
Therefore,
[tex]BF=\dfrac{1}{2}\times CE\\\\\Rightarrow 2x=\dfrac{1}{2}\times88\\\\\Rightarrow 2x=44\\\\\Rightarrow x=\dfrac{44}{2}\\\\\Rightarrow x=22.[/tex]
Thus, the required value of x is 22.
Latisha hiked along a trail that is 9.66 miles long she had 4.2 miles every hour. How many hours did it take latisha to finish hiking the troll
Answer:
It took Latisha 2 hours and 18 minutes to finish hiking the trail.
Step-by-step explanation:
Speed = Distance traveled / Time taken
Given:
Distance traveled = 9.66 miles
Speed = 4.2 miles/hour
Time taken = Distance traveled/Speed
= 9.66/4.2 =2.3 hours = 2 hours 18 minutes.
∴ It took Latisha 2 hours and 18 minutes to finish hiking the trail.
The perimeter of the rectangle below is 76
units. Find the length of side BC.
.
Write your answer without variables.
Answer:
The length of side BC is 18 units
Step-by-step explanation:
Perimeter of the rectangle: P=76 units
AB=4z
BC=3z+3=?
We need to determine z
The formula to calculate the perimeter of a rectangle is:
P=2(w+l)
Width: w=AB=4z
Length: l=BC=3z+3
Replacing in the formula:
76 = 2 [4z+(3z+3)]
Eliminating the parentheses:
76 = 2 [4z+3z+3]
Adding like terms:
76 = 2 (7z+3)
Solving for z: Dividing both sides of the equation by 2:
76 / 2 = 2 (7z+3) / 2
38 = 7z+3
Subtracting 3 both sides of the equation:
38-3 = 7z+3-3
Subtracting:
35 = 7z
Dividing both sides of the equation by 7:
35 / 7 = 7z / 7
Dividing:
5 = z
z = 5
Then:
BC=3z+3
Replacing z by 5 in the formula above:
BC = 3(5)+3
Multiplying:
BC = 15 + 3
Adding:
BC = 18 units
AZUL HAS 4 GREEN PICKS AND NO ORANGE PICKS. YOU ADD ORANGE PICKS SO THAT THERE ARE 2 ORANGE PICKS FOR EVERY 1 GREEN PICK. HOW MANY PICKS ARE THERE NOW?
Answer:
12 total
Step-by-step explanation:
green : orange
4 0
We add in a ratio of
1 2
So we need to multiply by 4
green : orange
4*1 4*2
4 8
We have 4 green and we need to add 8 orange to get the right ratio
4 green + 8 orange = 12 total
9000 dollars is placed in an account with an annual interest rate of 7.75%. How much will be in the account after 18 years, to the nearest cent?
In one year, $ 9,000 with a profit of 7.75%, is $ 697.5
697.5 × 18 = 12555
After 18 years old, it is $ 15,222
Answer:
The answer is 34494.79
Step-by-step explanation:
Y=ab^x
A= starting value= 9000
r=rate = 7.75% = 0.0775
Exponential growth
Y= 9000(1.0775)^x
Plug in time for x
Y= 9000(1.0775)^18
Y=34494.7918323
ROUND the number and your answer will be Y= 34494.78
8v+1=7v-20 I need help!
A sandwich cost $5.70 and a piece of fruit cost $2.15. If you have a $20 bill,how much change will u get (explain plz)
Answer: $12.15
Step-by-step explanation:
5.70 + 2.15 = $7.85
$20 - 7.85 = $12.15
Which graph represents the function f(x) =0.75^x
The top-left graph is the correct representation of the function[tex]\( f(x) = 0.75^x \)[/tex]. It shows a decreasing function as [tex]\( x \)[/tex] increases, and the y-intercept is at (0, 1).
The correct option is (A).
To determine which graph represents the function [tex]\( f(x) = 0.75^x \)[/tex], we should consider the key characteristics of an exponential function where the base is between 0 and 1:
1. As [tex]\( x \)[/tex] increases, [tex]\( f(x) \)[/tex] should decrease because 0.75 raised to a higher power becomes smaller.
2. As [tex]\( x \)[/tex] decreases (becomes more negative), [tex]\( f(x) \)[/tex] should increase because 0.75 raised to a negative power becomes larger.
3. The graph will never touch the x-axis, as an exponential function does not cross the axis when the base is positive.
4. The y-intercept should be at [tex]\( f(0) = 0.75^0 = 1 \)[/tex] because any non-zero number to the power of 0 is 1.
Now let's evaluate the provided graphs with respect to these characteristics:
- Top-left graph:This graph shows a decreasing function as [tex]\( x \)[/tex] increases, and the y-intercept is at (0, 1), which matches the behavior of [tex]\( f(x) = 0.75^x \)[/tex].
- Top-right graph:This graph increases as [tex]\( x \)[/tex] increases, which is not correct for [tex]\( f(x) = 0.75^x \)[/tex].
- Bottom-left graph:This graph also increases as [tex]\( x \)[/tex] increases, which does not match the expected behavior.
- Bottom-right graph:This graph shows a decreasing function as [tex]\( x \)[/tex]increases, but the y-intercept is not at (0, 1), so it does not represent [tex]\( f(x) = 0.75^x \)[/tex].
Based on this analysis, the top-left graph is the correct representation of the function[tex]\( f(x) = 0.75^x \)[/tex]. It shows a decreasing function as [tex]\( x \)[/tex] increases, and the y-intercept is at (0, 1).
complete question given below:
Which graph represents the function f(x) =0.75^x
please help me turn this improper fraction into a mixed number, it's super easy
Answer:
3 3/5
Step-by-step explanation:
3 fives go into 18 with a remainder of 3.
Answer:
3 3/5
Step-by-step explanation:
How do I find the measure of problem #13
Answer:
Set the two equations equal to each other if you want me to solve tell me.
So.... 15x+10=16x+3
-15 -15
10=1x+3
-3
7=x
Answer:
Step-by-step explanation:
Set them equal bc they are vertical angles
15x+10=6x+3
-6x. -6x
9x=
I don't know the rest
Need help with this problem please ASAP
A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the statue. Then the person looks down at an angle of depression of 8o when staring at the base of the statue. How tall is the statue to the nearest tenth of a foot?
Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula
[tex]tan(16)=\frac{y}{50}[/tex]
[tex]y=50tan(16)[/tex]
[tex]y=14.33727ft[/tex]
now, we can find x
In triangle DEF:
we can use trig formula
[tex]tan(8)=\frac{x}{50}[/tex]
[tex]x=50tan(8)[/tex]
[tex]x=7.0270ft[/tex]
we can see that
height of statue =x+y
so, the height of statue is
[tex]=14.33727+7.0270[/tex]
[tex]=21.4ft[/tex]
The height of the statue to the nearest tenth of a foot is 21.4 ft and this can be determined by using the trigonometric properties
Given :
A person is standing 50 ft from a statue.The person looks up at an angle of elevation [tex]16^\circ[/tex] when staring at the top of the statue.The person looks down at an angle of depression [tex]8^\circ[/tex] when staring at the base of the statue.Refer to the diagram attached below.
From the diagram in triangle ABF:
[tex]\rm tan(16)=\dfrac{a}{50}[/tex]
a = 14.33 ft
From the diagram in triangle DEF:
[tex]\rm tan(8)=\dfrac{b}{50}[/tex]
b = 7.02 ft
Now, the height of the statue is given by:
[tex]\rm Height = a +b[/tex]
Height = 14.33 + 7.02
Height = 21.4 ft
The height of the statue to the nearest tenth of a foot is 21.4 ft.
For more information, refer to the link given below:
https://brainly.com/question/17081568
What triangle congreunce theorem could you use to prove triangle ADE is congruent to triangle CBE?
Answer:
ASA
Step-by-step explanation:
We're already given a pair of congruent angles and sides
∠DEA and ∠BEC are congruent because they are verticle angles
So we can use ASA to prove the triangle ADE and triangle CBE congruent
To prove that triangle ADE is congruent to triangle CBE, you can use the SSS, SAS, or ASA congruence theorems depending on the given information. The Pythagorean theorem or trigonometry can be used if applicable. You must match corresponding sides or angles to decide which theorem to use.
Explanation:There are several congruence theorems for triangles including Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA). To determine which theorem to use in order to prove that triangle ADE is congruent to triangle CBE, you need to determine what information is given in the problem. For example, if you know that corresponding sides and angles are equal, you might use the SSS postulate, the SAS postulate, or the ASA postulate respectively.
If right angles are involved, we could also factor in the Pythagorean theorem to help establish side lengths - this theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b), expressed as: a² + b² = c². Solving for c gives us c = √a² + b². Similarly, if vectors and trigonometry are relevant factors in deriving your triangle sides or angles, they can also be used in establishing congruence.
Learn more about Triangle Congruence Theorems here:https://brainly.com/question/19735734
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use the substitution method to solve the system of equations choose the correct ordered pair. 2x-y=8 y=x-3 a.5,2 b.4,1 c.3,0 d.6,3
[tex]\left\{\begin{array}{ccc}2x-y=8&(**)\\y=x-3&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to}\ (**):\\\\2x-(x-3)=8\\2x-x-(-3)=8\\x+3=8\qquad\text{subtract 3 from both sides}\\\boxed{x=5}\\\\\text{Put the value of x to}\ (*):\\\\y=5-3\\\boxed{y=2}\\\\Answer:\ \boxed{a.\ (5,\ 2)}[/tex]
Answer:
Solution for the given system of equations is (5,2)
Step-by-step explanation:
We have been given the system of equations
[tex]2x-y=8....(1)\\y=x-3...(2)[/tex]
On substituting the value of y from equation (2) in equation (1)
[tex]2x-(x-3)=8[/tex]
Now, we solve the equation for x
[tex]2x-x+3=8\\x+3=8\\x=5[/tex]
Substituting the value of x in equation (2)
[tex]y=5-3\\y=2[/tex]
Therefore, the solution for the given system of equations is (5,2)
a is the correct option.
The formula for the area of a trapezoid is A = 1 2 h ( b 1 + b 2 ) , A= 2 1 h(b 1 +b 2 ), where h h is the height and b 1 b 1 and b 2 b 2 are the two bases. Rewrite the formula to solve for h h in terms of A , A, b 1 b 1 and b 2 . b 2 .
Answer:
h = 2A / (b1 + b2)
Step-by-step explanation:
A = 1/2h (b1 + b2)
Divide both sides by 1/2 (b1 + b2)
h = A / 1/2 (b1 + b2)
h = 2A / (b1 + b2)
Answer:
2A / (b1+b2) = h
Step-by-step explanation:
The formula for the area of a trapezoid is
A = 1/2 (b1+b2) *h
We want to solve for h
Multiply each side by 2
2A = 2*1/2 (b1+b2) *h
2A = (b1+b2) *h
Divide each side by (b1+b2)
2A / (b1+b2) = (b1+b2) / (b1+b2) *h
2A / (b1+b2) = h
Help please I need it now!!!
Answer:
The equation you should solve to find b is:
Option D. sin 35° / 9 = sin 40° / b
Step-by-step explanation:
m<A=35°
m<B=40°
a=9
b=?
We can use the Law of sines:
sin A / a = sin B / b
Replacing the given values:
sin 35° / 9 = sin 40° / b
This is option D.
What’s the answer and work?:)
Answer:
The answer is 7.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
9.75 divided by 1.3 equals 7.5
I used a calculator... :)
How many solutions does the following equation have? 14(z+3)=14z+2114(z+3)=14z+21
Answer:
it has no solution
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
Life
write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation (5,0) ; y+1=2(x-3)
Answer:
y=2x-11
Step-by-step explanation:
Answer:
The student should have simplified the equation to have y + 8 on the left. Then, the student should have subtracted 8 from both sides of the equation. The value of b should be 4, not 20.
Step-by-step explanation:
edge 2021.
The standard deviation for a set of data is 7.5. The mean is 235. What is the margin of error?
The margin of error is 0.97849
we are given
mean=235
so,
[tex]n=235[/tex]
standard deviation =7.5
so,
[tex]\sigma=7.5[/tex]
we know that
ME=2*standard error
and
[tex]SE=\frac{\sigma }{\sqrt{n} }[/tex]
If confidence level is 95%, then we can multiply by 1.96
so, we can multiply by 2 to get ME
now, we can use marginal error formula
[tex]ME=\frac{2\sigma }{\sqrt{n} }[/tex]
now, we can plug values
and we get
[tex]ME=\frac{2\times 7.5 }{\sqrt{235} }[/tex]
[tex]ME=0.97849[/tex]
Answer: 15
Step-by-step explanation:
Will give branlist to the user who gets it right.
Answer: 0
Step-by-step explanation:
2^3+16/4-3*4
2*2*2=8
8+16/4-3*4
16/4=4
8+4-3*4
12-3*4
3*4=12
12-12=0
Jim sold half of her comic books and then bought sixteen more she now has 36 with how many did she begin
Answer:
40 books
Step-by-step explanation:
36-16=20
20 is half her original collection
20*2=40
Answer: He began with 40 Comic Books.
Step-by-step explanation: First exclude the 16 he bought from the 36. This leaves 20. Then dubble it because he sold half so it brings it up to 40! Hope this helps! ;)
36 - 16 = 20
20 * 2 = 40
The answer is 40!
Consider that x = 5 and y = 7. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Answer:
The sum of x and y is a rational number
Step-by-step explanation:
X+Y or 5+7=12
A rational number is any number that can be divided without going on and on forever.
Answer:
The correct answer is A) The sum of the two is a rational number.
Step-by-step explanation:
Since both 5 and 7 are rational numbers, we know that their sum is also a rational number. This is true for any value of rational numbers.
Which equation represents a proportional relationship? A) y = 3x 8 B) y = 3 8x C) y = 3x 8 + 1 D) y = 3 8x + 1
The equation representing a proportional relationship, which is defined by a constant ratio and passes through the origin, is option A) y = 3x.
The question which equation represents a proportional relationship refers to a type of linear equation in which the ratio of one variable to another is constant. The form of a proportional relationship is y = kx, where k is the constant of proportionality. Looking at the options provided:
A) y = 3x - This equation is proportional because it is in the form of y = kx, where k is 3.B) y = 3/8x - This is also proportional, but option A is in a more standard form.C) y = 3x + 8 - This equation is not proportional because it includes a y-intercept, which means it does not pass through the origin (0,0).D) y = 3/8x + 1 - Like option C, this contains a y-intercept and is not proportional.Therefore, the equation representing a proportional relationship is option A) y = 3x.
what is the opppsite of 1 1/3
Answer:
find below
Step-by-step explanation:
it would either be -1 1/3 or -3/4 since that is the reciprocal of -1 1/3