Answer:
x = -2
Step-by-step explanation:
3x - 1 × 3 = 5 × x + 1
3x - 3 = 5x + 1
3x - 5x = 1 + 3
-2x = 4
-2x/-2 = 4/-2
x = -2
A cylindrical oil tank 8 ft deep holds 580 gallons when filled to capacity. How many gallons remain in the tank when the depth of oil is 3 1/2 ft.
Solution
[tex]\begin{gathered} 8ft=580\text{ gallons} \\ 3\frac{1}{2}ft=x \end{gathered}[/tex]Solution
[tex]\begin{gathered} \frac{8}{3.5}=\frac{580}{x} \\ cross\text{ multiply} \\ 8x=3.5\times580 \\ 8x=2030 \\ divide\text{ both sides by 8} \\ \frac{8x}{8}=\frac{2030}{8} \\ x=253.75 \end{gathered}[/tex]The final answer
253.75 gallons remain in the tank when the depth of oil is 3.5 ft
11. The graph models the linear relationship between the cost for cleaning and the number of rooms to clean in a house of two different cleaning companies. 200 180 160 140 Home Helper 120 Cost (In dollars) 100 80 scueaky cleaners 60 40 20 0 1 2 10 3 4 5 6 7 8 9 Number of Rooms to Clean in House What is the cost (in dollars) when Squeaky Cleaners and Home Helpers clean the same number of rooms? A. $60 B. $120 C. $150 D. $210
In the graph you can see two variables: Cost and Number of rooms to clean in house.
You can find the cost when both cleaning companies clean the same number of rooms as the point when the value in the varibles (y-axis and x- axis) are the same in the lines of both companies (the point where the lines cross each other)
Then, the cost when both companies clean the same number of rooms is $150 (the number of rooms to clean is 5 in both companies)What's the number of possible outcome when a coin is tossed four times
Answer:equal
Step-by-step explanation: no number but equal as it is tossed 4 times
Answer:
16
Step-by-step explanation:
The number of possible outcomes at each coin toss = 2.
The total number of possible outcomes after 4 times = 2⁴ = 16.
A. On graph paper, draw a net that, when folded, will create this solid. B. Is there more than one possible net? Why or why not? C. Find the surface area and volume of this solid.
First of all, let's draw the net:
In which l= 3 units, h=2 units and w= 4 units.
The surface area will be:
SA= 2*h*w +2*l*w + 2*h*l
SA = 2*2*4 + 2*3*4 + 2*2*3
SA =16+24+12
SA= 52units²
The volume will be:
V=L*h*w
V= 3*2*4
V= 24 units³
Which of the following solution sets show all the values of x that can make the inequality -2x + 3 < 9 true?
A. x > 3
B. x < -3
C. x > -3
D. x ≥ -3
Answer:
B
Step-by-step explanation:
9 - 3 = 6
6 ÷ -2
= -3
I think it's b
what is the required flight visibility and distance from clouds if you are operating in class e airspace at 9,500 feet msl with a vfr-on-top clearance during daylight hours? a. 3 sm, 1,000 feet above, 500 feet below, and 2,000 feet horizontal. b. 5 sm, 500 feet above, 1,000 feet below, and 2,000 feet horizontal. c. 3 sm, 500 feet above, 1,000 feet below, and 2,000 feet horizontal.
It should be noted that if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during the day, the required flight visibility and distance from clouds are listed as "3 statute miles 1,000 above 500 below and 2,000 horizontal."
What is meant by flight visibility?The average forward horizontal distance of a flying aircraft from the cockpit at which prominent unlit objects can be seen and identified during the day and substantial lighted objects can be seen and identified during the night is known as flight visibility.
Visibility requirements exist the minimal visibility for flying.
According to Aviation Rules,
(a) According to aviation regulations, no person may operate an aircraft under visual flight rules (VFR) in restricted airspace when the ceiling is less than 1,000 feet unless flying vision is at least 2 miles.
b) No person shall work a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a specified Class B, C, D, or E airspace surface area of an aerodrome unless there exists clear visibility. exists at least -
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Do the ratios 12/8 and 2/1 form a proportion
Answer:
No, the cross products to not equal
Step-by-step explanation:
[tex]\frac{12}{8}[/tex] = [tex]\frac{2}{1}[/tex]
12(1) = 8(2)
12 [tex]\neq[/tex] 16
Or make them both into decimals
12/8 = 1.5
[tex]\frac{2}{1}[/tex] = 2 They do not equal each other.
Find the direction angle of the vector u=-8i+5j. That is, find the angle between 0 degrees and 360 degrees that u makes with the positive x-axis
we have the vector
u=-8i+5j
see the attached figure to better understand the problem
tan(x)=5/8
x=tan^-1(5/8)
x=32 degrees
Find out the angle theta
148 degrees
the answer is 148 degrees
HELP MEEEEEEEEEEEEEE
Answer:
(2,-3)
Step-by-step explanation:
[tex]\frac{\left(y+3\right)^2}{9}-\frac{\left(x-2\right)^2}{2}=1\\\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}=1\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}\\\frac{\left(y-\left(-3\right)\right)^2}{3^2}-\frac{\left(x-2\right)^2}{\left(\sqrt{2}\right)^2} =1\\(2,-3)[/tex]
Part A: Given the function g(x) = |x + 3|, describe the graph of the function, including the vertex, domain, and range.
explanation is ideal but not essential :)
Considering the absolute value function, it is found that:
The vertex is at (-3,0).The domain is all real values.The range is [0, ∞).Absolute value functionThe absolute value function of vertex at point (h,k) is defined according to the following rule:
f(x) = |x - h| + k.
In the context of this problem, the function is given as follows:
g(x) = |x + 3|.
Hence the coefficients are:
h = -3, k = 0.
Meaning that the coordinates of the vertex are given by:
(-3,0).
The domain is the input values of the function, and since the absolute value function has no restriction, it is composed by all real values.
The range of the function is the set containing the output values of the function, and since the function has no vertical shift, it is the non-negative numbers.
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What’s the answer plsss asp
The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite.
If the side of DF = 7.7 cm then DE = 3.7 cm.
What is meant by right angle triangle?The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite. The longest side is always the hypotenuse. The other two inner angles add up to 90 degrees.
A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangled triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Given: DF = 7.7 cm and ∠ E = 29°
Let the equation be
sin θ = P/h = DF / DE
substitute the values in the above equation, we get
⇒ sin 29° = 7.7 / DE
⇒ DE = 7.7 / 0.48 = 3.696 = 3.7 cm
Therefore, the correct answer is option a) 3.7 cm.
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60 points help will give brainliest
Answer:
(g o f)(8)
Step-by-step explanation:
First we find f(8).
f(8) = 8 - 1 or 7.
We now find g(f(8)), which means g(7).
g(7) = 7^3 or 343
The Pythagorean Theorem
What is the distance between the points (1.7,-1) and (3.2,-1.8)?
Answer:
i hope it was good for you
25.6 = 8x solve for x
Answer:
x = [tex]\frac{16}{5} = 3\frac{1}{5} = 3.2[/tex]
Step-by-step explanation:
25.6 = 8x
Divide both sides by 8.
[tex]\frac{25.6}{8} = x\\[/tex]
Expand [tex]\frac{25.6}{8}[/tex] by multiplying both numerator and the denominator by 10.
[tex]\frac{256}{80} = x[/tex]
Reduce the fraction [tex]\frac{256}{80\\}[/tex] to lowest terms by extracting and canceling out 16.
[tex]\frac{16}{5} = x[/tex]
Swap sides so that all variable terms are on the left-hand side.
[tex]x = \frac{16}{5}[/tex]
If you answer is meant to be a fraction, then your correct answer is [tex]3\frac{1}{5}[/tex] and if you answer is meant to be a decimal then you correct answer is 3.2.
Hope I helped and have a good day. ~sunshine~ =D
3f(5) x f(2)
Anyone understand this question?
Answer:
I do!
Decimal Form: f=−0.¯6,5
Step-by-step explanation:
If any individual factor on the left side of the equation is equal to 0 the entire expression will be equal to
0.3f+2=0f−5=0
Set
3f+2 equal to 0 and solve for f.
more steps...
f=−23
Set
f−5 equal to 0 and solve for f.
more steps...
f=5
The final solution is all the values that make
(3f+2)(f−5)=0
true.
f=−23,5
The result can be shown in multiple forms.
Exact Form :f=−23,5
HOPE IT HELPS :)
How much must be deposited today into the following account in order to have a $125,000 college fund in 16 years? Assume no additional deposits are made. An account with monthly compounding and an APR of 7.3%
The amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .
What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t
Given, the amount that will be developed after interest is laid
= A = $125,00
Also, number of years for which amount is loaned = n = 16 years
Annual Percentage Rate of the loan availed = R = 7.3
Frequency with which interest is paid out per year = 1
Following the formula established in the literature, we have:
125000 = P(1 + 7.3)⁴ ⇒ P = 125000/(1 + 7.3)⁴ ⇒ P = 125000/8.3⁴ = 26.34
Therefore, the amount that must be deposited to get a final amount of
$ 125,000 is $ 26.34 .
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4. What is the solution of the following system? (1 point)
[x - y = 11
|-x + y = −11
a. (-3,-4)
b. no solutions
c. infinitely many solutions
d. (3, 4)
If the two equations are x - y = 11 and -x + y = -11 then the system has infinitely many solutions.
How to find the system of solutions?Let the two equations be
x - y = 11 ..................(1)
-x + y = -11 ..................(2)
Express the first equation in the term of x and substitute it into the second equation:
From (1) and (2), we get
-(y + 11) + y = -11
simplifying the above equation, we get
-y - 11 + y = -11
-y + y = 11 - 11
0 = 0
So, the system has infinitely many solutions.
Therefore, the correct answer is option c. infinitely many solutions.
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5.45 into a fraction
Answer:
[tex]\frac{109}{20}[/tex]
Step-by-step explanation:
.45 mean [tex]\frac{45}{100}[/tex] so 5.45 means 5 [tex]\frac{45}{100}[/tex] = [tex]\frac{9}{20}[/tex] If I divide the top and bottom of [tex]\frac{45}{100}[/tex] by 9
5 [tex]\frac{9}{20}[/tex] is a mixed number. I can make this an improper fraction by changing 5 to 1+1+1+1+1 Another name for 1 is any number over itself as a fraction.
I am going to write 1 as [tex]\frac{20}{20}[/tex]
5 can be written
[tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] + [tex]\frac{20}{20}[/tex] = [tex]\frac{100}{20}[/tex]
5 [tex]\frac{9}{20}[/tex] Can be written
[tex]\frac{100}{20}[/tex] + [tex]\frac{9}{20}[/tex] = [tex]\frac{109}{20}[/tex]
Answer:
(109/20) Is the answer.
Trey's mom agreed to buy him a playstation card for $20, but it would come out of his chore money. He already has $7 in his wallet and will earn 15 for his chores. How much will he have left after paying his debt?
Answer:
2$
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
trey's mom bought him a card for $20, if he already has $7 & will get $15 for his chores, add them together & thats $22. Once he pays off the $20 he will have $2 left.
What’s the answer plss
Opposite Q is length PR
Adjacent is 7
Hypotenuse is 19
We got AH - which is CAH or cos
Cos-1( 7/19) = 68.38....
It's 68.4 degrees
The closest answer to this is B. So, choose that because it maybe due to a typing error.
Hope this helps!
Sr-85 used on bone scans it has a half life of 64.9 days fine the remaining amount after 100 days
The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.
How can the remaining amount of the substance be calculted?To calculate the amount that remains after 100 days, this formular can be used
amount remaining = [tex]a (0.50)^{\frac{t}{h} }[/tex]
where t is the time that was required for the process to take place, where t is 100 days.
h is the halftime, which is been given as 64.9 days
where a is given as the initial amount that is present which is 8.
Then the values can be substituted to have
[tex]=a (0.50)^{\frac{100}{64.9} }[/tex]
= 2.749
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A right triangle has a hypotenuse of length 3.80 m, and one of its angles is 31.0°. What are the lengths of the following sides?
Answer:
• (a)The length of the side opposite 31.0° is 1.96 meters.
,• (b)The length of the side adjacent 31.0° is 3.26 meters.
Explanation:
In the right triangle:
• The length of the hypotenuse = 3.80 m
,• Let the side ,opposite ,angle 31.0° = x
• Let the side ,adjacent ,angle 31.0° = y
(a)
From trigonometric ratios:
[tex]\begin{gathered} \sin\theta=\frac{Opposite}{Hypotenuse} \\ \implies\sin31.0\degree=\frac{x}{3.80} \end{gathered}[/tex]Cross multiply:
[tex]\begin{gathered} x=3.80\times\sin31.0\degree \\ x=1.9571 \\ x\approx1.96\;m \end{gathered}[/tex]The length of the side opposite 31.0° is 1.96 meters.
(b)From trigonometric ratios:
[tex]\begin{gathered} \cos\theta=\frac{Adjacent}{Hypotenuse} \\ \implies\cos31.0\degree=\frac{y}{3.80} \end{gathered}[/tex]Cross multiply:
[tex]\begin{gathered} y=3.80\times\cos31.0\degree \\ y=3.2572 \\ y\approx3.26\;m \end{gathered}[/tex]The length of the side adjacent 31.0° is 3.26 meters.
Find an
an equation for the perpendicular bisector of the line segment whose
endpoints are (–4,3) and (−8,—3).
Answer:
y = (-2/3)x + 4
Step-by-step explanation:
Charlie graphs the equation y = -1/2x + 2.
Select all statements about Charlie's graph that are true.
-The line does not pass through the origin.
-The graph is a straight line.
-The slope of the line is 1/2
-The line passes through the point (0, -2).
-The y-intercept of the line is 2.
The True statements are: the graph is a straight line and the line does not pass through the origin. The y-intercept of the line is 2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The equation is given as y = -1/2 x + 2
Then Formula of the linear equation ( in slope-intercept form ):
y = m x + b
m = -1/2, b = 2
0 = - 1/2 ( 0 )+ 2
0 ≠ 2 ( it does not pass through the origin )
- 2 ≠ 2
Therefore, the True statements are:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
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Please help this is due soon
Hello!
Let's solve:
The sum of all the angles of a triangle is ==> 180 degrees[tex]\hookrightarrow \text{In other words: } x + 59+ 84 + x + 51=180[/tex]
Solve the equation to find the value of 'x'[tex]x + 59 + 84 + x + 51= 180\\2x + 194=180\\2x = -14\\x = -7[/tex]
Since m∠A = x + 51, we just need to plug in x's valuem∠A = x + 51 = -7 + 51 = 44
Answer: 44
Hope that helps!
Given m || n, find the value of x.
m
(8x+14) (9x-4)°
n
Answer:
X=11
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
Because, [tex](8*18+14)=(9*18-4)[/tex] is true
Part A Write the multiplication expression shown by the model. Do not solve the problem. Part B
Explain the expression written in Part A. Include the final product and how it is shown with the model.
Part A: The multiplication expression is L×w
Part B: The expression is written as N= r+ g + w + b
The final product = 200 boxes
How to determine the expressionIt is crucial to note that the formula for determining the area of a rectangle is expressed as;
Area = lw
Given that;
l represents the length of the rectanglew represents the width of the rectangleThe area can be calculated by multiplying the length and the width and also by then adding the number of boxes.
We have the expression as;
10( 4 + 5 + 4 + 7)
Also,
L × w = r + g + w + b
Hence, we have that L×w is a multiplication expression.
Total number of boxes for the length = 20
Total number of boxes for the width = 10
Total area = L×w = 20×10=200
Number of available red boxes = 46Number of available green boxes = 46Number of available blue boxes = 46Number of available white boxes = 62We have;
N= r+ g + w + b
but r = g = b
Also,
L×B = 3r + w
Hence, a multiplication expression is an expression that has its variables or numbers being multiplied.
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Need help with writing a rule to describe each transformation
Explanation
By observation, we can see that the transformation from the original to the image, is a rotation of 90 degrees counterclockwise about the origin.
Answer: Option D
Given the costs for several of the same grocery items in two countries, find the rate of the total cost for these items in the United Kingdom to that of the total cost of
items in Australia.
Using ratios and assuming the given values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Australia is 2/3.
How do you calculate the ratio?A ratio shows how often one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit.The ratio of oranges to all fruits is 8:14, whereas the ratio of lemons to oranges is 6:8.A ratio is a comparison of two items when it is expressed in numbers or amounts. For instance, the boy-to-girl ratio in a room with 10 males and thirty girls is 1:3, or one to three.Assume that the costs are:
United Kingdom = 10.78Australia = 21.23The ratio would be:
Ratio = United Kingdom: AustraliaSo, we have:
Ratio = 10.78:21.23Simplify:
Ratio = 2 : 3Express as rate
Rate = 2/3Therefore, using ratios and assuming the given values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Australia is 2/3.
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Determine the last possible degree of the polynomial function shown
We are asked to determine the degree of the polynomial given its graph. To do that we can count the number of bumps in the graph. We notice that it has 4 bumps:
This type of behavior is usual of polynomials of degree 5.