Answer:
Step-by-step explanation:
The first term (a) = 9
the 37th term is what we want (n = 37)
d = - 6
t_37 = 9 + (n - 1) * (-6)
t_37 = 9 + 36 * - 6
t_37 = 9 - 216
t_37 = - 207
how much of an 18% salt water mixture should be added to a 15 gallon 2% salt water mixture to achieve a 7% salt water mixture?
If you add x gal of the 18% mixture, each gallon adds 0.18 gal of salt, so x gal would add 0.18x gal of salt.
The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.
The total volume of the new mixture would be (15 + x) gal. To achieve a 7% concentration of salt, you would need to add x gal of the 18% mixture such that
(amount of salt) / (total volume) = (0.3 + 0.18x) / (15 + x) = 0.07
Solve for x :
0.3 + 0.18x = 0.07 (15 + x)
0.3 + 0.18x = 1.05 + 0.07x
0.11x = 0.75
x = 0.75 / 0.11 ≈ 6.82 gal
Find the value of x and y. Write your answers in simplest form.
Answer:
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
Step-by-step explanation:
Calculating (x):
Here, we make use of the tan formula
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Adj = x[/tex]
This gives:
[tex]tan\ 60= \frac{16}{x}[/tex]
Make x the subject
[tex]x = \frac{16}{tan\ 60}[/tex]
tan(60) in surd form is [tex]\sqrt{3}[/tex]
So:
[tex]x = \frac{16}{\sqrt{3}}[/tex]
Rationalize
[tex]x = \frac{16}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x = \frac{16\sqrt{3}}{3}[/tex]
Calculating (y):
Here, we make use of the tan formula
[tex]sin\theta = \frac{Opp}{Hyp}[/tex]
Where
[tex]\theta = 60[/tex]
[tex]Opp = 16[/tex]
[tex]Hyp= y[/tex]
This gives:
[tex]sin\ 60= \frac{16}{y}[/tex]
Make y the subject
[tex]y= \frac{16}{sin\ 60}[/tex]
tan(60) in surd form is [tex]\frac{\sqrt{3}}{2}[/tex]
[tex]y= \frac{16}{\frac{\sqrt{3}}{2}}[/tex]
[tex]y = 16/\frac{\sqrt 3}{2}[/tex]
[tex]y = 16*\frac{2}{\sqrt 3}[/tex]
[tex]y = \frac{32}{\sqrt 3}[/tex]
Rationalize
[tex]y = \frac{32}{\sqrt 3}*\frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]y = \frac{32\sqrt 3}{3}[/tex]
dhjf sdfjhs fs djffsdfjosf dsfjps fssoipsf fsjf f fsfsfsfohff fidfsdfeffsj fsdfsfsn f fhjfsifse
Answer:
i
Step-by-step explanation:
283.65 + 85.3 =?
Find the sum?
Answer:
368.95
Step-by-step explanation:
⇒ Line up the decimal places to add the numbers:
283.65
+ 85.3
—————
⇒ 85.3 is the same as 85.30:
1
283.65
+ 85.30
—————
368.95
Answer: 368.95
Hope this helps! :)
Answer:
198.35
Step-by-step explanation:
283.65
085.3
_______________
198.35
HELP PLEASE PLEASE HELP Create an expression that includes 2 Operations 1 Must be addition or subtract, the other multiplication/division Write a word problem that leads us to this
Answer:
Margret, Jay, and Andi each have a sticker collection. Jay has 34 stickers. Margret has 3 times as many stickers as Andi. Andi has 9 more stickers than Jay. How many stickers does Margret have?
How to solve:
a = andi's stickers
j = jay's stickers (34)
m = margret's stickers
9 + j = a or 9 + 34 = 43
so a = 43
a x 3 = m or 43 x 3 = 129
m = 129
Margret has 129 stickers
Can somebody help me
Answer:
2nd and obtuse triangle - should be - double check
Step-by-step explanation:
Which graph shows the solution to the inequality -2x+10>20
Answer:
+20 bc 2x10= 20 so +20>20
The day after a protest held by an employee's union, 32 out of 40 employees did not show up for work at the shoe factory, Which represents the percent of the employees who did show up for work the day after the protest?
Answer:
Step-by-step explanation:
32 out of 40 did not show
8 out of 40 did show
When you ask "What is 8 out of 40?" you want to know what percent 8 is out of 40.
Here are step-by-step instructions showing you how we calculated 8 out of 40 as a percentage:
The first step is to divide 8 by 40 to get the answer in decimal form:
8 / 40 = 0.2000
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.2000 * 100 = 20.00%
Answer:
20 %
Step-by-step explanation:
In the figure, line e || line ff . Which statement is true?
Answer:
B
Step-by-step explanation:
The measure of angle seven is 70 since 180 - 110 = 70. The measure of angle three is equal to the measure of angle seven using the Corresponding Angles Theorem
Find the arc length of AB to the nearest tenth.
90°
B
A
70 m
The arc length is
meters.
90 is a fourth of 360, so the a fourth of the total circumference is between those two radii. This means that, if you find the circumference and divide it by 4, the resulting number is that length.
the area of the square is 36 cm. 2 what is the formula that shows the length or side b
Answer:
36=b^2 or b=the square root of 36
Step-by-step explanation:
The sides of a square are all equal in length. To find the area of a square you can multiply the two sides together. Considering that they are the same length, you can just square one of the side lengths to get your answer. To find a side length you can take the square root of the area.
Answer:
Step-by-step explanation:
b · b = 36
how to graph y = x^2+3
Answer:
regular parabola but shifted up 3 on the y axis
Step-by-step explanation:
please help me, i will give 15 points and brainleist
Answer:
3 + 0.25x
Step-by step answer:
1. add like terms inside the bracket 8+4=12
2. divide each term in bracket by 4
12/4 = 3
x/4 = 0.25x
Answer:
Step-by-step explanation:
1/4(8+4+x)=
1/4(12+x)=
3+ x/4
Two workers win prize of £240, they share prize money in ratio of 3.5, how much does one get
Which expression can be used to find The amount of money for camp leader spends on b books
Answer:
Part A: A. 7.50 x b
Part B: $90
Step-by-step explanation:
Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.
Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.
the width of a rectangle is 3/4 length. The perimeter is 252 cm. What is the width of the rectangle?
“The answer is C. Divide 252/2 to get one width plus one length. Then, divide by seven parts, 3 for the width and 4 for the length. It is 18. Multiply for 3 because of 3/4 and you get 54.“
Which equation is equivalent to X +8 is equal to 21
Answer:
an equation is equivalent to x+8=21 is 13
Step-by-step explanation:
21-8 would equal 13 that how you find the missing variable
1 is what percent of 4?
A. 23%
B. 24%
C. 25%
D. 30%
Answer:
C: 25%
Step-by-step explanation:
1/4 = 0.25 = 25%
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Answer:
C
Step-by-step explanation:
1 divided by 4 is .25, move the decimal over two points and you get 25%.
What is the value of x?
Enter your answer in the box.
Answer:
80°
Step-by-step explanation:
70+30=100
180 - 100= 80°
what is the least common multiple of 6 10 and 15
Answer:
the answer is 30
Step-by-step explanation:
they all go into 30 some how
HELPPPPP!!! 20 points
Consider the equation 6x+3y=9 Which equation, when graphed with the given equation will form a system with
infinitely many solutions?
y+ 2x-3
y+2x9
Oy=2x+3
Oy=-2x+9
Answer:Oy=2x+3
Step-by-step explanation:
what is 1234565432345676543 minus23456765432123456 times45 this is not gonna be easy mwahahah
Answer:
1.790109879E17 hahahahaha
Step-by-step explanation:
Answer:
1.7901099e+17 = 18.7901099
MWHAHAHAHA
Please help! I will mark first answer brainliest and lots of points!!!! Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two integers. Help him determine how to prove that each of the following numbers is rational. If you answer all I will appreciate that very much!
1. -18
2. 87.125
3. -30
4. -8.3
5. 58.25
6. 121
7. 4.5
Answer: All Options also - 9 + -9 = -18
Step-by-step explanation: The Reason It Is All Of Them Is Because A Rational Number Is A Fraction Integer or Some Kind of repeating decimal And They All Are In That Category.
2x – 5x + 16 = -3(x – 6)
Answer:
16=18
Step-by-step explanation:
2x-5x+16
-3x+16
-3(x-6)
-3x+18
-3x+16+-3x+18
16=18
-they do not share the same answer
and if you where to keep going
18-16=2
0=2
-so again not equal
hope that helps
Answer:
Exact Form : X= 200/33 Decimal form: X= 6.066 Mixed number form X= 6 2/33
Step-by-step explanation:
Hopeful this help
In a class of 50 students 24 like football, 21 basketball and 18 Cricket, 6 like football and basketball, only 3 like basketball only, 5 like any of the three games. Illustrate the information in a Venn diagram. Find the number of students who like football and crickets only and exactly one of the game.
After answering the query, we may state that Therefore, the number of equation students who like exactly one of the games is: O + 3 + 6 = 24 + 3 + 6 = 33
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
Here is a Venn diagram illustrating the information given:
_______ _______
| | | |
| F | | C |
|___|___| |___|___|
| |
| | | |
B | FC | | B |
|___|___| |___|___|
| |
| | | |
| O | | E |
|___|___| |___|___|
F = Football
B = Basketball
C = Cricket
FC = Football and Basketball
O = Only Football
E = Exactly one of the games
To find the number of students who like football and cricket only, we need to subtract the number of students who like football and basketball (i.e., FC) from the number of students who like football (i.e., O) and cricket (i.e., C). Therefore, the number of students who like football and cricket only is:
O - FC - E = 24 - 6 - 5 = 13
To find the number of students who like exactly one of the games, we need to add up the number of students who like only football (i.e., O), only basketball (i.e., 3), and only cricket (i.e., 6). Therefore, the number of students who like exactly one of the games is:
O + 3 + 6 = 24 + 3 + 6 = 33
To know more about equation visit:
https://brainly.com/question/649785
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A room 9m wide has a span roof which slopes at 34 degrees on one side and 44 degrees on the other. Find the length of the roof slopes, correct to the nearest mm
Answer:
Slope sides are;
5.07 m and 6.39 m
Step-by-step explanation:
I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.
From the image attached, the missing angle is θ.
From sum of angles in a triangle,
θ = 180 - (44 + 34)
θ = 102°
Now, a & b represent the slopes of the roof.
Thus, using law of sines which is that;
a/sin A = b/sin B = c/sin C, we can solve as follows;
a/sin 34 = 9/sin 102
a = (9 × sin 34)/sin 102
a = (9 × 0.5512)/0.9781
a = 5.07 m
b/sin 44 = 9/sin 102
b = (9 × sin 44)/sin 102
b = (9 × 0.6947)/0.9781
b = 6.39 m
John has 8 coins, all of which are quarters and nickels. In all, they're worth $1.00. How many of each kind of coin does John have?
Answer:
you will need 3 quarters and 5 nickel
Step-by-step explanation:
3 quarters is 75 and 5 nickels is 25 =1.00
A recipe uses 8 ounces of cocoa mix to make hot chocolate for 7 people what is the unit rate in ounces per person
Answer:
1.14285714286 ounces per person
Step-by-step explaination:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
following this rule, 8 divided by 7 is 1.14285714286
Your assignment will probably ask you to simplify
Solve the system of equations by elimination
3x+4y=9
-6x-8y=-18
A. (5,-1)
B. (5,1)
C. Infinite number of solutions
D. (1,5)
d=.5*a*t^2 - solving for a[tex]d=.5*a*t^2[/tex]
Answer:
[tex]\displaystyle a=\frac{d}{.5*t^2}[/tex]
Step-by-step explanation:
Equation Solving
We are given the equation:
[tex]d=.5*a*t^2[/tex]
It's required to solve it for a.
Swap sides to have the letter on the left side:
[tex].5*a*t^2=d[/tex]
Divide by [tex].5*t^2[/tex]:
[tex]\mathbf{\displaystyle a=\frac{d}{.5*t^2}}[/tex]