Answer:
All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...
Step-by-step explanation:
3x+8=-4
Subtract 8 from both sides.
3x+8−8=−4−8
3x=−12
Step 2: Divide both sides by 3.
3x=−12
3 3
x=−4
Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.
The correct answer is x = -4
Step-by-step explanation:
you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12
then you divide both sides by 3, leaving you with x = -4
Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $15 per day. If one of her customers spent less than $125, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
Therefore, **x < 7** is the inequality that may be utilized to find x
What is inequality?A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).
For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".
Let x represent how many days the client paid for pet sitting.
$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.
We are aware that the customer's purchase was under $125. Consequently, we can write:
20 + 15x < 125
Putting this disparity simply:
15x < 105
x < 7
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• Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar, in your online course. Be careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.
• Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set. This is demonstrated in the Instructor Guidance in the left navigation toolbar, in your online course.
• Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.
◦ Compound inequalities
◦ And
◦ Or
◦ Intersection
◦ Union
–1 ≤ –3 + 2x < 17
7 – x ≥ 6 or 7x – 1 > 27
The solutions to the inequalities are
1 ≤ x < 10: And and Intersectionx ≤ 1 or x > 4: Or and UnionHow to determine the solution of the inequality?From the question, we have the following parameters that can be used in our computation:
–1 ≤ –3 + 2x < 17
7 – x ≥ 6 or 7x – 1 > 27
Inequality 1
Here, we have
–1 ≤ –3 + 2x < 17
Add 3 to all sides of the inequality
So, we have
2 ≤ 2x < 20
Divide both sides of the inequality by 2
So, we have the following representation
1 ≤ x < 10
The above represents the solution of the inequality expression
Inequality 2
Here, we have
7 – x ≥ 6 or 7x – 1 > 27
Add 1 or subtract to the sides of the inequality
So, we have
– x ≥ -1 or 7x > 28
Divide both sides of the inequality by the coefficient of x
So, we have the following representation
x ≤ 1 or x > 4
The above represents the solution of the inequality expression
The graphs of the inequalities are added as an attachment
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2
Select the correct answer from each drop-down menu.
Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
Reset
The dilation of triangle ABC
Next
For the transformations of the triangle, we have that:
1. The translation of triangle ABC preserves side lengths and angles.
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,
1. The translation of triangle ABC preserves side lengths and angles.
For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
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Helpppppppppppppppppppppppppppppppppppppppp
X = 30°
The triangle in the circle as one angle of the main triangle and it is equilateral indicated by the slashes meaning all angles are 60°. (Every triangle has a total of 180°) the next angle is made from a tangential line the forms a 90° right angle with one of the radii in the circle meaning the main triangle has 1 angle of 60°, 1 angle of 90°, and that means that angle X is 30°.
Answer:
triangle ABD is a equilateral triangle.
so each angle is 60°
<ADB=60°
<BAD=60°
again
we have
CD is perpendicular to AD[tangent on the arc is perpendicular to the radius]
:. ADC=90°
°
again
In triangle ADC
<A+<B+<C=180°[sum of a interior angle of a traingle is 180°]
60°+90°+x=180°
x=180°-150°
x=30°
is a right answer.
10 minutes is 40% of __________ minutes.
Answer:
That would be 4 minutes
Step-by-step explanation:
Think of 10 as 100%
1 would be 10
2 would be 20
3 would be 30
And so on and so forth
Hope this helps (:
Answer:
it is 25 40% of 10 is 25
Step-by-step explanation:
you do 10/40%=25.
pls give me brainlyest pls need it
a patient receives 65 grams of medicine if its increased by 20% how many grams is that
Responda:
13 gramas
Explicação passo a passo:
65 + 20% = 13
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x=28.8
Step-by-step explanation:
using cosine
cos x= adjacent/hypotenuse
cos x = 71/81
cos x = 0.8765
make x subject of the formula
x= cos^-1 0.8765
x= 28.77699973
x≈ 28.8
The required value of x is 28.8 degrees for the right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown
We have to determine the value of x for the triangle.
As we know the cosine ratio is:
cos x = adjacent/hypotenuse
As per the question, substitute the known values in the above ratio,
cos x = 71/81
Apply the division operation,
cos x = 0.8765
Solve for x, and we get
x= cos⁻¹ (0.8765)
x = 28.77699973
x ≈ 28.8
Thus, the required value of x is 28.8 degrees.
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Find the distance between the points on the graph. (Round your answer to the nearest tenth).Point (-2,-3) and (3,1)
Distance = 6.4
To find distance between two points, you will find change in x squared and add too the change in y squared. Then, you will find the square root of the answer.
Point (-2,-3) and (3,1)
\(\begin{gathered} \Delta y\text{ = 1-(-3) = 1+ 3 = 4} \\ \Delta x\text{ = 3-(-2) = 3+2 = 5} \\ \text{Distance = }\sqrt{(\Delta y)^2\text{+}}\text{ (}\Delta x)^2 \\ =\text{ }\sqrt{4^2+5^2\text{ = }\sqrt{16+25}} \\ =\text{ }\sqrt{41} \end{gathered}\)Distance = square root of 41 = 6.4
Which is a function and what is not a function?
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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I’m having trouble figuring out how to find the limit of this function algebraically.
Answer:
Step-by-step explanation:
The Cinci Company issues $100,000, 10% bonds at 103 on October 1, 2020. The bonds are
dated January 1, 2020 and mature eight years from that date. Straight-line amortization is used.
Interest is paid annually each December 31. Compute the bond carrying value as of December
31, 2024.
According to the given values in the question:
The Amortization period is:
= \(8 \ years\times 12 \ months\)
= \(96 \ months\)
Number of months of Amortization is:
= \(3 \ months \ in \ 2020+(4 \ years\times 12 \ months)\)
= \(3+48\)
= \(51 \ months\)
Now,
On bonds payable, the premium will be:
= \(Issue \ price - Face \ value\)
= \((100000\times 103 \ percent)- 100000\)
= \(103000-100000\)
= \(3000\) ($)
The Unamortized premium will be:
= \(Premium - Unamortized \ premium\)
= \(3000-(3000\times \frac{51}{96} )\)
= \(3000-1593.75\)
= \(1406.25\) ($)
hence,
The carrying value as of December 31, 2024 will be:
= \(100000+1406.25\)
= \(101406.25\) ($)
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I rent a gym for $150 for 30 students. Another time I rent the gym for $350 for 70 students. What is my rate per student?
Answer:
The rate is 5 dollars per student.
Step-by-step explanation:
The rate per student can be found with \(\frac{dollars}{student}\):
\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)
The rate is 5 dollars per student.
Hong just bought 7 bags of 15 cookies each. He already had 9 cookies in a jar. How many cookies does Hong have now?
Answer:
96
Step-by-step explanation:
15 x 7 =105
105 - 9 = 96
Answer:
114
Step-by-step explanation:
You have to do 7 x 15 to get 105 than add the 9 which is 114. If this is a BEDMAS/PEDMAS question, you do multipictaion then addtion.
PLEASE HELP ME!!!!!!!
Find the next term of the sequence.
21, 15, 9, 3,...
Answer:
-3
Step-by-step explanation:
So 21 - 6 = 15
15 - 6 = 9
9 - 6 = 3
3 - 6 = -3
Hope it helps :))
If a seed is planted, it has a 85% chance of growing into a healthy plant.
If 9 seeds are planted, what is the probability that exactly 4 don't grow? Round to 4 decimals.
The probability that exactly 4 seeds out of 9 planted won't grow is 1.57%.
What is the probability that 4 seeds won't grow?Let X be the number of seeds that don't grow.
X follows a binomial distribution with parameters n=9 and p=0.15 (the probability that a seed doesn't grow).
So, probability of exactly 4 seeds not growing is:
P(X=4) = \(9C4 * (0.15)^4 * (1-0.15)^5\)
P(X=4) = 70 * 0.00050625 * 0.4437053125
P(X=4) = 0.01572380701
P(X=4) = 1.57%
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given the following table with selected values of f(x) and g(x) evaluate f(g(1))
The value of f(g(1) from the table of functions is given as 1.
What is Functions ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
when x = 1
g(x) = 3
or f(g(1) = f(3) = 1
The value of f(g(1) from the table of functions is given as 1.
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pliz answer my question
Answer:
Median: 52
Mode: 52
Explanation:
The mode is the element that occurs most in the data set.
Arrange the data in ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Evaluate the expression: −(8 − 12) + 60 + (−4)2.
Answer: 80
Step-by-step explanation:
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
please answer ASAP I will brainlist
(a) The average cost in 2010 is $2088.82.
(b) A graph of the function g for the period 2006 to 2015 is: D. graph D.
(c) Assuming that the graph remains accurate, its shape suggest that: B. the average cost increases at a slower rate as time goes on.
How to estimate the average cost in 2011?Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:
g(x) = -1736.7 + 1661.4Inx
where:
x = 6 corresponds to the year 2006.
For the year 2011, the average cost (in dollars) is given by;
x = (2010 - 2006) + 6
x = 4 + 6
x = 10 years.
Next, we would substitute 10 for x in the function:
g(10) = -1736.7 + 1661.4In(10)
g(10) = $2088.82
Part b.
In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.
Part c.
Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.
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6x + 12 + 2x - 4
Can u help me pls
Answer:
8x+8
Step-by-step explanation:
6x+2x=8x 12-4=8
Which of the following numbers is one-fifth of a given number if one-fourth of that same number is 20? Select the single best answer: A 10 B. 15 C. 20 D. 16 E. 25 usuan West >>
16 is the number which is one-fifth of a number when one-fourth of that same number is 20.
As per the given data:
One-fourth of the number is resulted to 20.
Here we have to determine the result of one-fifth of the same number from the given options.
An expression for a portion of a whole is a fraction.
For any real numbers, the fractional component of x is defined.
Let the number be X.
One-fourth of a number is 20 which means:
Multiply the one-fourth fraction with an unknown number which results in the number 20.
\($\frac{1}{4}\) (X) = 20
X = 20 × 4
X = 80
Now we have to determine that one-fifth of the same number.
Multiply the one-fifth fraction by 80.
We get:
= \($\frac{1}{5}\) (80)
= \($\frac{1}{5}\) × 5 × 16
= 16
One-fifth of the number 80 is 16
Therefore Option (D) - 16 is the correct answer.
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Fill in the blank below with the correct units. The school bus has a mass of about 8000 ————. Solve the problem. Then use either grams or kilograms
Answer:
kilograms
Step-by-step explanation:
theoretically, a bus cant be measured in grams, because its too light and unrealistic.
The school bus has a mass of about 8000 kilograms.
What is meant my mass?
"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."
What is kilogram?"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."
Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.
∴ The school bus has a mass of about 8000 kilograms.
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2. Maja's construction company builds tiek houses, the number of her on insistines da
thsaadhoursifierraar
Hours Worked
Bricks lastalled
&
3680
7
6
$260
a Deline variables for the quantities that are changing in this problemiton,
b Analyze the table to determine the constant of proportionality,
• What does the constant of proportionality mean in this situation?
d. Write an equation to show the relationship between the number of hours worked, the number of
bricks Installed, and the constant of proportionality
e Use your equation to determine how many bricks Maya's crow can install in 5.5 hours.
Use your equation to determine how many hours it will take Meye's crew to instal 840 bricks.
3. Given a value for the input variable, x, and the output variable, y, calculate the constant of
proportionality
a. >= 21 and y=6
b. x= 60 and y = 18
.*
2 and y=73
d. x= 4 and y= 3.9
LESSON 2.0
Answer:
3940693740573ERRORCODE:3940693740573
Select three ratios that are equivalent to 11:1 A: 1: 11 B 22:2 C 55:5 D 9:99 E 110: 10
Answer:
B 22;2 c 55:5 E 110:10
Step-by-step explanation:
multiplying is key
Answer:
B,C,E
Step-by-step explanation:
divide each of them and if the result is equal to 11 so it is equivalent to 11:1
T/F the condition probability of a given b must be smaller than the intersection of the same two events a and b
The condition probability of a given b must be smaller than the intersection of the same two events a and b:
This statement is False.
The condition probability of event "b" given event "a" (P(b|a)) must be less than or equal to the probability of event "b" (P(b)). This is because the occurrence of event "a" restricts the sample space to only those outcomes that belong to event "a", and thus the probability of event "b" given event "a" cannot be greater than the unconditional probability of event "b".
The concept of conditional probability is used to describe the probability of an event given that another event has already occurred.
The formula for conditional probability is
P(b|a) = P(a and b) / P(a),where P(b|a) represents the probability of event "b" given that event "a" has already occurred.
In order for this to be meaningful, it is required that P(b|a) <= P(b). This means that the probability of event "b" given that event "a" has already occurred cannot be greater than the unconditional probability of event "b".
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I don’t want explanation Just tell me what should I put in the answers bar
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
ratio or circles to triangles:
8 : 10
Step 02:
We must analyze the question to find the solution.
\(triangles\text{ = 4 circles }\cdot\text{ }\frac{10\text{ triangles}}{8\text{ circles}}\text{ = }5\)The answer is:
For every 4 circles there are 5 triangles, therefore the simplified ratio of circles to triangles is 4 : 5 .
Which box plot matches the data set?
Please help me!! :)
Answer:
C
Step-by-step explanation:
matches all the data
plsss helpppp 6x^2+4x-42
Answer:
Step-by-step explanation:
6x^2+4x-42
2(3x^2+2x-21)=0
3x^2+2x-21=0
3x^2+(9-7)x-21=0
3x^2+9x-7x-21=0
3x(X+3)-7(X+3)=0
(3X-7)(X+3)=0
So Answer is (3x-7)(X+3)
More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two
Answer:
21
Step-by-step explanation: