Answer:
[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]
Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.
Step-by-step explanation:
To make y as the subject of equation, we have to find a way to isolate y-variable.
First, add 4h both sides of equation which we obtain:
[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]
Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.
[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]
Thus the answer is y = (18+4h)/5
Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.
[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]
Either one of these solutions work.
_______________
Let me know in the comment if you have any questions.
Crystal's yearly income is $25,000, and the cost
of her rent for the year is $7,500. What fraction
of her yearly income does she spend on rent?
A. 1/4
B. 3/10
C. 2/5
D. 2/7
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.
b. Graph the inequalities and show the solution set.
c. Identify a point that represents a combination of haircuts and and hair-coloring jobs that meets the stylist's requirements.
#a
[tex]\\ \sf{:}\Rrightarrow 15x+30y\geqslant 150[/tex]
[tex]\\ \sf{:}\Rrightarrow x+y\geqslant 10[/tex]
And
[tex]\\ \sf{:}\Rrightarrow 0.5x+2y\geqslant 8[/tex]
#2
Attached
#3
(8,2)What is the Equation of the line? slope: undefined; (7,-9)
Answer:
x = 7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
undefined slope means that there's a vertical line through the x-axis.
And since the point is at (7,-9) you only need to focus on the value of x, which in this case, is 7.
Seven less than three times the sum of a number and 5 is at least 11 Find all the number that satisfy this condition
Answer:
x <= -6.33333
(>= is greater than or equal to)
(<= is less than or equal to)
Step-by-step explanation:
7 - 3(x+5) >= 11
7 - 15 - 3x >= 11
-8 - 3x >= 11
-3x >= 19
x <= 19/-3
x <= -6.33333
please mark brainliest
The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Seven less than three times the sum of a number and 5 is at least 11.
The sum of the a number (x) and 5 is given as,
⇒ (x + 5)
Three times the sum of a number and 5 will be given as,
⇒ 3(x + 5)
Seven less than three times the sum of a number and 5 will be
⇒ 3(x + 5) - 7
Seven less than three times the sum of a number and 5 is at least 11. Then the inequality will be
3(x + 5) - 7 ≥ 11
Simplify the inequality, then the value of x will be
3(x + 5) ≥ 18
x + 5 ≥ 6
x ≥ 1
The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.
More about the inequality link is given below.
https://brainly.com/question/19491153
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[tex]\huge \dag \sf{Answer \: it}[/tex]
See the question below
Find n, if n is an integer.
[tex] \sqrt[3]{n + \sqrt{ {n}^{2} + 8 } }+ \sqrt[3]{n - \sqrt{ {n}^{2} + 8 } } = 8 \: [/tex]
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Need genuine answers
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The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex].
Procedure - Determination of the root of radical functionIn this question we need to find the root of the radical function [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex], which must be simplified by algebraic means.
First, we need to elevate each side of the expression by third power:
[tex]\left(\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n+\sqrt{n^{2}+8}} \right)^{3} = 512[/tex]
[tex]2\cdot n + 3\cdot \sqrt[3]{(n+\sqrt{n^{2}+8})^{2}\cdot (n-\sqrt{n^{2}+8})} + 3\cdot \sqrt[3]{(n-\sqrt{n^{2}+8})^{2}\cdot (n+\sqrt{n^{2}+8})} = 512[/tex]
[tex]2\cdot n -6\cdot (\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n-\sqrt{n^{2}+8}}) = 512[/tex]
[tex]2\cdot n - 6\cdot (8) = 512[/tex]
[tex]n = 280[/tex]
The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex]. [tex]\blacksquare[/tex]
To learn more on radical functions, we kindly invite to check this verified question: https://brainly.com/question/13430746
help please anybody hmm
Answer:
18.7°F
Step-by-step explanation:
Difference
High temperature - low temperature
-3.6 - ( -22.3)
-3.6 + 22.3
= 18.7°F
HELP PLS!
I'm studying for UCAT as I want to get into medicine. I don't understand probability diagrams like these, please explain it to me.
Answer: 80 (choice B)
=========================================================
Explanation:
This is an interesting venn diagram. Each region is either a circle or some kind of arrow shape. The numbers in the regions correspond to the qualities mentioned. For example, the "55" in the circle outside the other arrow regions tells the reader that there are 55 secretaries who are reliable but don't possess any other quality. As another example, the 35 is inside the circle and the left-pointing arrow to tell us that there are 35 people who are reliable and organized.
What we want to find are the values that are in 3 or more regions. There's only two cases when this happens: The 15 and the 65 as they are in the circle, the double arrow, and one of the single pointing arrows. So we have 15+65 = 80 candidates that possess 3 qualities. No person has all four qualities because there isn't a value that's in all four regions at the same time. Or you could note that the left and right pointing arrows do not overlap which is a big clue that there's no way someone could possess all four qualities at once. It might help to trace out the figures using different colors so you can pull apart the four figures.
3x - 1 = 5 help me plz
Answer:
x = 2
Step-by-step explanation:
3x - 1 = 5
First, add 1 onto both sides. (When doing these type of questions you must do the inverse!)
3x = 6
Divide by 3 on both sides to get x.
x = 2
Hope this helps and I hope you have a good day!
Answer: 2
Step-by-step explanation: move constant to the right, calculate, divide both sides
A train traveling at a constant speed covers 320 miles in 4 hours. What equation can be used to model the distance, d miles, the train travels in time, t hours? (Open response)
Answer:
80d:1t
Step-by-step explanation:
320mi:4h
80mi:1h
80d:1t
Every hour the train travels 80 miles
Answer: d = 80t
Step-by-step explanation:
320 miles / 4 hours = 80 mph
distance = rate * time
Which equation represents the line through (0,0) and (3, 4)?
O A. y = x
O B. y = 4x
O C. y = 2
O D. y = 3x
Answer:
y=4/3x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-0)/(3-0)
m=4/3
y-y1=m(x-x1)
y-0=4/3(x-0)
y=4/3(x)
y=4/3x
Pls help trig question!!
[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]
[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]
The pric of a new car is $29,990. If the sales tax rate is 6.5%, then how much sales tax is being charged?What is the total cost for the car including tax?
Solution: ($29990)*(0.065) = $1949.35.
Answer: The sales tax is $1949.35 and the total cost is $29,990.00 + $1949.35 = $31,939.35.
Scientists say we should sleep 3/8 of a day.How about many hours is this
Please help ASAP, any links will be reported!
Write an inequality that represents the graph below:
Answer:
x< 0
Step-by-step explanation:
[] An open circle means we will be using < or > and not ≤ or ≥ because the number is not included in the inequality
[] The direction of the inequality sign will go in the direction of the graph, so we will be using < as our number is less than the value given
[] Our final answer, assuming we can use x for this graph, is x < 0
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
find the value of 40% of 1KM (in m)
Answer:
400m
Step-by-step explanation:
40% of some quantity = 0.4 times the quantity
We also know 1 km = 1000 m, therefore: 40% of 1000m = 0.4 * 1000m = 400m.
40% of 1 km in meters is 400 meters
What is percentage :Percentage simply means per 100. Percentage can be express as decimal or fraction.
For example 25% of 80 can be found as follows:
25 / 100 × 80 = 2000 / 100 = 20From the example, 25% of 80 is 20 .
Therefore, 40% of 1 km(m) can be found as follows:
Let's convert km to metres.
1000m = 1km
40% of 1000
40 / 100 × 1000 = 40000 / 100 = 400metres
Therefore, 40% of 1 km in meters is 400 meters
learn more on percentage here: https://brainly.com/question/19540991?referrer=searchResults
how many number of solutions does 3(x+1)+x+2=2(2x+1)+3 have pls help me out
Answer:
All real numbers (infinite solutions)
Step-by-step explanation:
To find the number of solutions, first, distribute and combine the like terms of the equation.
3(x+1)+x+2=2(2x+1)+3
3x+3+x+2=4x+2+3
4x+5=4x+5
Since both sides of the equation are equal, the number of solutions are infinite.
Aneesha determined that the cost of attending her public four-year college in her first year will be $6,220. If the average cost is expected to increase by 6%, what will be the cost of attending her second year in college?
A) $6,226.00
B) $6,257.32
C) $6,593.20
D) $6,820.00
Answer:
6593.2
Step-by-step explanation:
6,220*1.06 = 6593.2
there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed
Answer:
16%
Step-by-step explanation:
60+90=150 total students
14+10=24 left handed students
24/150= 0.16 or 16% of the population being left handed
What is the following expression?
3x2 + 5
1.monomial
2.binomial
3 neither
Answer:
Assuming the 2 in 3x2 is an exponent, then it is binomial.
Step-by-step explanation:
A binomial is an expression with two terms, in this case those two terms are 3x^2 and 5
Answer:
2.binomial
Step-by-step explanation:
3x2=1
5=2
so its a binomial
hai, I need help ;)
2 - 2/5
what expressions are equivalent to this
plz somebody answer my teacher is gonna turn red as a pepper so help me
NOW!!!!!!! PLZ:l
Step-by-step explanation:
Some expressions that are equivalent to this is: 1 - 1/5; 2 - 1 1/5; 3 - 2 1/5; etc.
PLEASE HELP ME
7. (37:10) Kevin finds Buzz's life savings. If Buzz
had $47 and had been saving for 17 years, how
much could we expect him to save in 30 years?
Based on the information given, the amount that he'll be expected to save in 30 years will be $83.
From the question given, since Buzz had $47 and had been saving for 17 years, the amount saved per year will be:
= $47/17
= $2.7647
Therefore, the amount that'll be saved in 30 years will be:
= 30 × $2.7647
= $82.941
= $83
The amount saved will be $83.
Learn more about equations on:
https://brainly.com/question/13802812
(1 point for work, 1 point for correct answer) PLEASE HELP BEFORE WINTER BREAK NO LINKS HURRY
Find the common ratio of the geometric sequence 9, -18, 36, ...
Answer:
-2.
Step-by-step explanation:
-18/9 = -2.
36/-18 = -2.
We multiply by -2 to get the next number in the sequence.
Common ratio is -2.
On a map the distance is 2.6cm scale of the map is 1cm:50km
Answer:
Step-by-step explanation:
2.6*50=130 km
helllppp pleaseeeeee
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How many solutions does this equation have?
4h + 2 = 2 + 4h
should be 4
Step-by-step explanation:
two angles of a triangle are 5x+20 and 2x+30 find the third angles
Answer:
Third angle is [tex]130-7x[/tex]
Step-by-step explanation:
We have sum of angles is [tex]180^{0}[/tex]
Let the third angle be [tex]y[/tex]
Hence
[tex]5x+20+2x+30+y=180\\\\y=130-7x[/tex]
Third angle is [tex]130-7x[/tex]
please help me, tysmm! and no spam or links please it's rlly annoying -_-
find 4/5 x 1 2/3?? please help!
How do I do this problem? We’ve been learning this recently and there’s a test we have on Thursday And I’m still not quite sure how to do these types of problems
Answer:
I have a test on thursday toooooooo
Step-by-step explanation: