This are the right steps
Step 1: first you divide the both size by 7 because there is 7 a's
7a/7 = 28/7
Step 2: You solve the equation
7a/7= a. 28/7 = 4
So, the answer is a = 4
not 7 = 4
Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.
How are linear equations in one variable solved?To solve linear equations in one variable, we isolate the variable to one side of the equation and simplify the other side to get the solution for the equation.
In the process of isolation, the operations performed on one side of the equation have to be performed on the other side too.
How to solve the question?In the question, we are informed that Carly tried to solve an equation step by step. 7a=28 Step 1: 7a/a = 28/7 Step 2: 7 = 4.
We are asked to find the mistake that Carly did in solving the equation.
We first try to solve the equation: 7a = 28.
Step 1: 7a/7 = 28/7 {Dividing both sides by 7}
Step 2: a = 4 {Simplifying}.
Thus, we can see that Carly did a mistake in Step 1, as she divides the two sides of the equation by different quantities (she divided the left side of the equation by a and the right side of the equation by 7), but we are supposed to follow the same operations on both sides of the equation. Hence, option A: Step 1 is the right choice.
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An old coin had a value of $840 in 1991
and $1160 in 1999. Find the slope of the line through
the points at (1991, 840) and (1999, 1160). What does
this slope represent?
PLEASE PLEASE HELP
Please to these click on the paper clip. No fake stuff please
f(a) = 2a - 1
g(a) = 4a
- 1
Find f(a) + g(a)
Answer:
[tex]f(a)+g(a)=6a-2[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(a)=2a-1\text{ and } g(a)=4a-1[/tex]
And we want to find f(a) + g(a).
So, substitute:
[tex]f(a)+g(a)[/tex]
This is the same as:
[tex]=(2a-1)+(4a-1)[/tex]
Combine like terms:
[tex]=(2a+4a)+(-1-1)[/tex]
Add or subtract:
[tex]=6a-2[/tex]
And we're done!
How do you do surface area
Heres the formula i hope this helps... SA=2lw+2lh+2hw
Answer:
length + width + height
Step-by-step explanation:
For example, for a 3D shape you will have to add all of the sides to get the surface area.
Question 7 of 12. Step 1 of 1
4/12
Correct
2
Incorr
Kara has five exam scores of 85, 75, 86, 69, and 68 in her biology class. What score does she need on the final exam to have a mean grade of 80? Round your answer
to two decimal places, if necessary. (All exams have a maximum of 100 points.)
Answer
How to enter your answer
І кеурас
Keyboard Shortcu
Answer:
97
Step-by-step explanation:
Sorry for messy working out
help find equivalent equation please
Answer:
the first one
Step-by-step explanation:
Answer:
3x²+7x-8
Step-by-step explanation:
(7x²+5x-5) - (4x²-2x+3)7x²+5x-5-4x²+2x-33x²+7x-8Which is greater 4P3 or 4C3
Answer:
4P3
Step-by-step explanation:
Answer:
4P3 is greater
Step-by-step explanation:
sion 5(7 - 4)2 + 3+ 11.
Answer:
44
Step-by-step explanation:
use the order of operations
5 (3) 2 + 3 + 11. solve within parenthesis
15 × 2 + 3 + 11. multiply left to right
30 + 3 + 11. multiply left to right
33 + 11. add left to right
44. add
the order of operations is more commonly known as PEMDAS.
(parenthesis, exponents, multiply and divide, add and subtract)
If you are still confused there is a Brain Pop about PEMDAS. just search "order of operations" on the brain pop website
Which of the following is a source of income?
A. House purchase
B. Investment
C. FICA
D. Timeshare
Apex answer is:
B Investment
At the beginning of a study of individuals, 10% were classified as heavy smokers, 20% were classified as light smokers, and 70% were classified as nonsmokers. In the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively. A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.
Answer: 0.39
Step-by-step explanation:
Given the following classification :
Heavy smokers (H) = 10%
Light smokers (L) = 20%
Non smokers (N) = 70%
Given that :
The death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively
Let probability of death = D
P(D | N) = d
P(D | H) = 5d
P(D | L) = 3d
Hence,
P(D) = [P(H) * P(D | H) + P(L) * P(D | L) + P(N) * P(D | N)]
P(D) = [0.1 * 5d + 0.2 * 3d + 0.7 * d]
P(D) = [0.5d + 0.6d + 0.7d]
P(D) = 1.8d
A randomly selected participant died over the five-year period: calculate the probability that the participant was a nonsmoker.
P(N | D) = [P(N) * P(D | N)] / P(D)
P(N | D) = 0.7d / 1.8d
P(N | D) = 0.3888
= 0.39
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)
Answer:
y=3 x=1 hope this helps :)
Step-by-step explanation:
Find the GCF of 12 and 40
Find the area of a triangle with a base of 27 ft and a height of 14 ft. 41 ft2 82 ft2 189 ft2 378 ft2
Answer:
The answer is 189 ft²Step-by-step explanation:
The area of a triangle can be found by using the formula
[tex]A = \frac{1}{2} \times bh[/tex]
where
b is the base
h is the height
From the question
b = 27 ft
h = 14 ft
Substitute the values into the above formula and solve
That's
[tex]A = \frac{1}{2} \times 27 \times 14 \\ = \frac{1}{2} \times 378 [/tex]
We have the final answer as
189 ft²Hope this helps you
Answer:
189ft²
Step-by-step explanation:
Triangle
Solve for area
A=189ft²
b Base
27
ft
hb Height
14
ft
Consider the line y = 2/3x-4
A line parallel to the graph of the line would have a slope of
A line perpendicular to the graph of the line would have a slope of
Answer:
For the parallel line it will still have a slpoe of 2/3
Step-by-step explanation:
as for the perpendicular line it will be double like 4/6 so it can meet it at a 90° angle.
Find the equation of the line with slope -2 which goes through the point (-6,-9).
The equation of the line with slope -2 which goes through the point (-6,-9) is y=-2x-21.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, the line with slope -2 which goes through the point (-6,-9).
Substitute m=-2 and (x, y)=(-6,-9) in y=mx+c, we get
-9=-2×(-6)+c
-9=12+c
c=-21
Substitute m=-2 and c=-21 in y=mx+c, we get
y=-2x-21
Therefore, the equation of the line with slope -2 which goes through the point (-6,-9) is y=-2x-21.
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please help Math Question!
Answer: The answer is D
Answer:
D
Step-by-step explanation:
4 ÷ x+3.
4 + x(a number) + 3
4/x+3
Metal mercury at room temperature is a liquid. Its melting point is -39°C. The freezing point of alcohol is-114°C. How much warmer is the melting point of mercury than the freezing point of alcohol?
Solve the equation k+10=27 k=
Steps to solve:
k + 10 = 27
~Subtract 10 to both sides
k = 17
Best of Luck!
My dog, Crash, can run 2/3 of a mile in 7 minutes. How many minutes does it take him to run one mile.
Answer:
10 1/2 minutes
Step-by-step explanation:
Becuase 7/2=3.5 then 7+3.5=10.5
Find the coordinates of the point 3/10 of the way from A to B.
Answer:
[tex] (\frac{3}{13}, -3) [/tex]
Step-by-step explanation:
Apply the formula following formula to find the coordinate pair of the point that is 3/10 of the way from A(-3, -6) to B(11, 7):
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(-3, -6) = (x_1, y_1) [/tex]
[tex] B(11, 7) = (x_2, y_2) [/tex]
[tex] m = 3, n = 10 [/tex]
Finding the x coordinate:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{3(11) + 10(-3)}{3 + 10} [/tex]
[tex] x = \frac{33 - 30}{13} [/tex]
[tex] x = \frac{3}{13} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{3(7) + 10(-6)}{3 + 10} [/tex]
[tex] y = \frac{21 - 60}{13} [/tex]
[tex] y = \frac{-39}{13} [/tex]
[tex] y = -3 [/tex]
The coordinates of the point 3/10 of the way from A to B are [tex] (\frac{3}{13}, -3) [/tex]
15 For a hot air balloon ride, the function H(t) gives
the height of the balloon after t minutes. Its graph
is shown alongside.
a Find H(30), and explain what your answer
means.
b Find the values of t such that Il(t) = 600.
Interpret your answer.
€ For what values of I was the height of the
balloon recorded?
d What range of heights was recorded for the
balloon?
What is 100x2 help me pease
Answer: 200
Step-by-step explanation:
anything times 2 is just doubled
What is formed when polyatomic ions bond with other ions? ionic compounds neutral compounds ionic elements neutral elements
Answer:
iconic compounds
Step-by-step explanation:
Ionic components are formed up of ions, which are charged particles formed whenever an atom (or group of atoms) acquires or loses electrons.
Polyatomic ions were covalently bonded groupings of atoms. It has a positive or negative charge as little more than a result of an ionic bond with the other ion. Polyatomic positive ions are formed from certain ion combinations, however, the polyatomic ion acts as just a single unit.Therefore, the final answer is "ionic compounds".
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Find the area of the given region using any method.
The best method would certainly be integration :)
The area is given by the integral,
[tex]\displaystyle\int_0^2\frac{\mathrm dx}{9-x^2}[/tex]
We can split up the integrand into partial fractions:
[tex]\dfrac1{9-x^2}=\dfrac16\left(\dfrac1{3-x}+\dfrac1{3+x}\right)[/tex]
Then the area is
[tex]\displaystyle\frac16\int_0^2\left(\frac1{3-x}+\frac1{3+x}\right)\,\mathrm dx[/tex]
[tex]=\dfrac16(-\ln|3-x|+\ln|3+x|)\bigg|_0^2[/tex]
[tex]=\dfrac16\left((\ln5-\ln1)-(\ln3-\ln3)\right)=\boxed{\dfrac{\ln5}6}[/tex]
The area of a rectangle that has a length of 10 and a width of w.
Answer:
B
Step-by-step explanation:
To find the area, multiply length by width (lw, or l×w). If the length is 10, that just leaves the width, which is unknown. We can substitute 10 for l, which leaves us with 10w.
The area of a square garden is 81 How long is each side of the garden?
What is 76.58 × 1.92
Answer:
147.0336
Step-by-step explanation:
find x so that q parallel r
Answer: x = 7
Step-by-step explanation:
Corresponding angles have congruent measures. Thus, 11x - 2 = 75
11x - 2 = 75
11x = 77
x = 7
express sin110 as ratio of acute angle
Answer:
sin70°
Step-by-step explanation:
Given sin110° where 110° is an obtuse angle in the second quadrant.
The related acute angle in the first quadrant is 180° - 110° = 70°
Thus
sin110° = sin70°
