How do you solve 13 + 3 - 8x + 6 = 1 - 5x I dont get it
Answer:
x = 7
Step-by-step explanation:
How to solve your question
Your question is 13 + 3 − 8x + 6 = 1 − 5x
13 +3 - 8x + 6 = 1 - 5x
13 + 3 − 8x + 6 = 1 − 5x
Solve
Add the numbers
13 + 3 − 8x + 6 = 1 − 5x
22 − 8x = 1 − 5x
Rearrange terms
22 − 8x = 1 − 5x
−8x + 22 = 1 − 5x
Subtract 22 from both sides of the equation
−8x + 22 −22 = −5x + 1 − 22
Simplify
Subtract the numbers
−8x = -5x + 1 -22
-8x = -5x -21
Add 5x to both sides of the equation
-8x + 5x = -5x -21 + 5x
Simplify
Combine like terms
-3x = -21
Divide both sides of the equation by the same term
(-3x)/3 = (-21)/3
Simplify
Cancel terms that are in both the numerator and denominator
x = (-21)/(-3)
Divide the numbers
x = 7
Answer: x=7
Step-by-step explanation: :)
The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?
Answer:
Length = 18
Step-by-step explanation:
Length= 2w - 4
Perimeter= 58
Perimeter= 2L + 2w
58 = 2(2w-4) + 2w
58 = 4w -8 + 2w
58 = 6w - 8
66 = 6w
11 = w
Plug in width to find the variable L
58 = 2L + 2(11)
58 = 2L + 22
36 = 2L
18 = L
What is the value of k?
Answer:
10°
Step-by-step explanation:
According remote interior angles, 4k + 5 + 6k + 10 = 115.
10k + 15 = 115
10k = 100
k = 10
Hope this helps :)
Have a nice day!
Answer:
k = 10°
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle will be equal to the two opposite inside angles added together. It will look like the following, and we solve for k from there.
115° = (4k + 5)° + (6k + 10)°
115° = 4k° + 5° + 6k° + 10°
115° = 6k° + 4k° + 10° + 5°
115° = 10k° + 15°
100° = 10k°
10° = k
k = 10°
What is the value of f(x) when x = −3
Evaluate f(x) = 3x − 7 when x = 4.
Hurry and solve these 2 questions!!
The product of three and a number decreased by ten is thirteen
Answer:
3x - 10 = 13 would be the verbal expression where x = a number
Hope this helps!
RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual
income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded
annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal
then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a. RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
C. RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her
yearly income when she retires.
d. RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her
yearly income when she retires.
Answer: It is B. RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
Step-by-step explanation:
A car driving at 10.0 m/s southward accelerates at 4.11 m/s2 southward for 7.25 s. what is the car's speed after this amount of time?
The car's speed after the given amout of time is 19.8 m/s²
How would you define acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.
Average Acceleration =Change in Velocity/ Time Taken
So Change in Velocity is 10-x m/s
Time taken is 7.25 s
Given accelaration 4.11 m/s²
Putting the values we get,
4.11 = (10-x)/7.25
⇒29.8 = 10-x
⇒x=19.8 m/s²
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In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
attempt 1 out of 2
Answer:
45%
Step-by-step explanation:
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
P (no bro / yes sis) = P(no bro) - P(sis and bro)
= 12/20 - 3/20
= 9/20
or 45%
Suzanne completed a 1500-piece jigsaw puzzle in 4 hours 10 minutes. What was her average speed in pieces per minute?
ANSWER: 150
EXPLANATION
Based on the given conditions, formulate: 1500 divided 10
Cross out the common factor: 150
get the result: 150
Answer: 150
your welcome
circles multiple choice
geometry
please help
Answer:
a) 12 ( I'm pretty sure)
Step-by-step explanation:
I would like to know which statement describes the roots of this equation?
Note that the answer is "Equation has one real root and two complex roots." (Option A)
How is this so?The equation x³+x²=x-1. consists of two parts. The left side of this equation can be represented by the function y = x³ + x² and the right side can be represented by the function y = x -1.
These graphs indicated have one common point, this means that the equation x³+x²=x-1 has one real solution (approximately, x≈-1.839).
Given equation is cubic, then this equation has three roots. Since only one root is real, then two remaining roots are complex.
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Here is the food for the tiny plant stored?
embryo
endosperm
leaf
seed coat
Starch, which is stored in an endosperm, serves as a plant's primary source of nutrition. It develops as a result of the two-step reproductive cycle. The best choice is therefore (b).
Which seeds contain endosperm that stores food?
Albuminous seeds consist of those with the endosperm. For such purpose of storing food, the endosperm is a unique nourishing tissue found in seeds. Up until maturity, this should continue to be persistent. Unlike exalbuminous seeds, which have thick cotyledons, albuminous seeds have small, slender cotyledons because food is preserved in the endosperm.
What's the name of the seed food shop?
Food that has been preserved through seeds can be observed in the perisperm, cotyledons, as well as endosperm. The stored food is used to keep this same embryo alive all through seed germination. Depending on the quantitative issue, a variable would be a volume that can be altered.
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Katie left at 10:30 a.m. to go to the pool. It took her 31 minutes to bike there.
What time did Katie get to the pool? Move numbers to the clock to show the time.
Answer:
Easy 11:01
Step-by-step explanation:
Answer:
11:01
Step-by-step explanation:
10:30
+ 00:31
---------------
11:01
PLEASE DO ALL PARTS FOR BRAINLIEST!! IT'S URGENT! PLEASE HELP!!!!!
Perform these transformations on △DEF.
Reflect △DEF across the x-axis and label the resulting image△D'E'F'.
Rotate △D'E'F' 90° clockwise about the origin and label the resulting image △D''E''F''.
Translate △D''E''F'' according to (x,y)→(x-2,y+2) and label the image △D'''E'''F'''.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is reflected across the x axis, the new location is at A'(x, -y).
If a point A(x, y) is rotated 90° clockwise about the origin, the new location is at A'(y, -x).
If a point A(x, y) is translated a units left and b units up, the new location is at A'(x-a, y+b).
From the image attached, the location of triangle DEF is D(2, 6), E(2,3) and F(5, 3).
If △DEF is reflected across the x-axis, the resulting image △D'E'F' is at D'(2, -6), E'(2, -3) and F'(5, -3).
If △D'E'F' is rotated 90° clockwise about the origin, the resulting image △D''E''F'' is at D''(-6, -2), E''(-3, -2) and F''(-3, -5).
If △D''E''F'' is translated by (x,y)→(x-2,y+2), the resulting image △D'''E'''F''' is at D'''(-8, 0), E'''(-5, 0) and F'''(-5, -3).
Calculate a 95% confidence interval for the mean weight of all utah county fair pigs.
The confidence interval for the mean weight of all Utah County Fair pigs is given by the lower and upper bounds.
To calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs, we need some sample data from the population. The confidence interval formula relies on the sample mean, sample standard deviation, sample size, and the desired level of confidence.
Assuming you have a sample of pig weights from the Utah County Fair, follow these steps to calculate the confidence interval:
Collect the sample data: Measure the weights of a random sample of pigs from the Utah County Fair. Let's say you have a sample size of n, and you record the weights as x₁, x₂, ..., xn.
Calculate the sample mean : Sum all the weights and divide by the sample size (n). This will give you the average weight of the pigs in your sample.
Calculate the sample standard deviation (s): Determine the standard deviation of the weights in your sample. This measures the variability of the weights within the sample.
Determine the critical value : For a 95% confidence level, the critical value z* is approximately 1.96. This value corresponds to a standard normal distribution.
Calculate the standard error (SE): Divide the sample standard deviation (s) by the square root of the sample size (n).
Calculate the margin of error (ME): Multiply the standard error (SE) by the critical value to obtain the margin of error. This accounts for the variability in the sample mean.
Calculate the lower and upper bounds of the confidence interval:
The confidence interval for the mean weight of all Utah County Fair pigs is given by the lower and upper bounds.
Please note that without specific sample data, it is not possible to provide a precise confidence interval. The steps provided here are a general guideline for calculating a confidence interval based on sample data.
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Simplify: 7-24÷8x4+6
The BODMAS rule is indeed an acronym used to recall the order of operations to be utilized while solving mathematical expressions, and the further calculation can be defined as follows:
Given:
\(\bold{ 7-24\div 8\times 4+6}\)
To find:
Simplification=?
Solution:
Using BODMOS rule
\(\to \bold{ 7-24\div 8\times 4+6}\\\\\to \bold{ 7-\frac{24}{8}\times 4+6}\\\\\to \bold{ 7-3\times 4+6}\\\\\to \bold{ 7-12+6}\\\\\to \bold{ 7-18}\\\\\to \bold{ -11}\\\\\)
Therefore, the final answer is "-11".
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In the figure, a∥b and m∠4 = 45°. What is the m∠8?
Answer:
if the fig is like this
then m∠8=45°Hope it helps you<35.
If WX = XY, what is the length of WZ?
Answer:
25
Step-by-step explanation:
Segment XY = 10
Segment XZ = 15
Since the lenght of segment WX is said to be congruent to the lenght of segment XY, therefore:
WX = XY = 10
Segment WX + Segment XZ = Segment WZ (segment addition postulate)
\( 10 + 15 = WZ \) (substitution)
\( 25 = WZ \)
\( WZ = 25 \)
Length of segment WX = 25
In a triangle, angle bisectors AK and BM were drawn so that AK = BM = AB. Find all angles of the triangle
In a triangle, angle bisectors AK and BM were drawn so that AK = BM = AB. Thus,
∠A = 72º
∠B = 72º
∠C = 36º
What is triangle?The term triangle is derived from the Latin word triangulus, which means "three-cornered" or "having three angles," and is derived from the roots tri-, "three," and angulus, "angle or corner."
Triangles are three-sided polygons having three edges. The triangle's angles are formed at a point where the three sides are joined end to end.
It has three angles, three vertices, and three sides. The sum of the three angles is 180 degrees. Any triangle's two longest sides added together are always longer than the triangle's third side. The triangle's perimeter is the sum of its three sides. Half of the product of the base and height is the triangle's area.
It is given that, AK = BM = AB
Triangle ABC is an isosceles triangle.
Thus, in triangle :
∠A = 72º
∠B = 72º
∠C = 36º
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Help me please! Am horrible at math.
Answer:
Step-by-step explanation:
For a. the 14.7 represents the pressure that the air puts on you all the time.
For b. the d represents the depth you go under the surface of the water.
For c. we have to solve p(d) when d = 8:
p(8) = 14.7 + 0.445(8) so
p(8) = 14.7 + 3.56 and
p(8) = 18.26 psi
Please answer in detail Determine whether the following statement is True, False, or Uncertain, and explain your answer. Statement: Flexible exchange rates ...
The statement "Flexible exchange rates ..." is incomplete, and without further clarification, it is uncertain to determine whether it is true or false. A complete statement is required to provide a clear context for discussing the nature and implications of flexible exchange rates.
Flexible exchange rates refer to a system in which currency exchange rates are determined by market forces, such as supply and demand. Under this system, exchange rates fluctuate freely based on various economic factors, including inflation rates, interest rates, trade balances, and investor sentiment.
Flexible exchange rates offer advantages such as the ability to adjust to changing economic conditions and promote trade balance adjustments. They can also help absorb external shocks and enhance monetary policy autonomy. However, they may also introduce volatility and uncertainty in international trade and investment. To assess the accuracy of the statement, additional information or context is needed.
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PLEASE HELP! I WILL MAKE YOU BRAINLIST!
The answer would be A.
15.40.
Step-by-step explanation:
1in : 25mi = x inches : 385mi
25x = 385 (divide both sides by 25)
x = 15.40 inches
As the department manager, you've just been informed the organization is having to cut back on expenses This means some departments likely will incur employee losses. You are to attend a managers meeting to justify your department's current budget. The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be: column chart line chart bar chart pie chart
Answer:
The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:
Pie Chart
Step-by-step explanation:
Please answer number 9.
I've drawn the dimensions, I just need help with labeling.
The polygon which on rotated gives the given cylinder is a rectangle with dimensions 10 inches × 9 inches.
Given a cylinder with the diameter of the base 18 inches and the height of the cylinder 10 inches.
This cylinder is formed by rotating some polygon around YZ.
The polygon must be a rectangle which has the height or the length equal to the height of the cylinder.
So length = 10 inches
The width of the rectangle will be half of the diameter.
Width = 18/2 = 9 inches
Hence the rotated polygon is a rectangle with length 10 inches and width 9 inches.
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The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter
Answer:
72 m^3
Step-by-step explanation:
volume of the kiosk = volume of cylinder + volume of cone
volume of a cylinder = nr^2h
n = 3.14
r = radius = 5/2 = 2.5
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x (2.5^2) x 3 = 58.88
Volume of a cone = 1/3(nr^2h)
3.14 x 1/3 x (2.5^2) x 2 = 13.08
13.08 + 58.88 = 71.96
To round off to the nearest cubic meter, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
= 72 m^3
Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3
Answer:
A, D, E, F
Step-by-step explanation:
0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30
Answer:
Step-by-step explanation:
35
Don’t know if you can read this good but if you can please help me
Answer:A
Step-by-step explanation:
y=x+8
x+y=2
Solving Systems by Substitution
Answer:
{-3, 5}.
Step-by-step explanation:
y = x + 8
x + y = 2
Substitute y = x + 8 in the second equation:
x + x + 8 = 2
2x + 8 = 2
2x = -6
x = -3
Now plug this into the first equation
y = -3 + 8 = 5.
What is g^4/g^2? Because I am a little confused about it
The quotient rule states that when dividing two powers
that have the same base, subtract their exponents.
Since each of the powers in this problem has a base of g,
we can simplify the expression by subtracting the exponents.
4 - 2 is 2 so our answer is g².
Members of a softball team raised $2089.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
The number of players the team can bring to the tournament would be = 24 players
What is softball game?The softball game is the type of game that involves two teams which is made up of 9. - 10 players.
The total amount of money raised by a softball team=
$2089.50
The amount of money spent on rented bus = $1087.50
The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002
The amount budgeted for meals for each player= $41.75
The number of players that would be brought for tournament= 1,002/41.75
= 24 players.
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