Answer:
y = -6
Step-by-step explanation:
To simplify this equation as much as possible, we have to get the variable y by itself.
To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.
-7 + 7 + 5y = -37 + 7
The 7s cancel out on the left side because -7+7 = 0 and so we are left with,
5y = -30
Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.
5y/5 = -30/5
y = -6
A circle’s circumference is 600 m.
What is a good approximation of the circle’s area? 1. 300\ m^{2} 2. 3,000\ m^{2} 3. 30,000\ m^{2} 4. 300,000\ m^{2}
The area of the circle is approximately 30,000 \(m^{2}\)
The circumference of the circle is given as 600m.
And we know that circumference = \(2\pi r\) where r is the radius of the circle.
Therefore,
\(2\pi r = 600\)
\(r = \frac{600}{2\pi }\)
\(r = \frac{300}{\pi }\)
Now, we know that area of the circle = \(\pi r^{2}\)
Putting the value of r in this, we get
area = \(\pi (\frac{300}{\pi } )^{2}\)
area = \(\pi.\frac{300}{\pi } .\frac{300}{\pi }\)
Therefore, area of the circle = 28,647.889 \(m^{2}\)
Therefore, the correct answer is 30,000 \(m^{2}\)
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could someone help me?
Answer:
walnuts cost $2.50 per pound, chocolate chips cost $1.50 per pound
Step-by-step explanation:
let w be the cost of 1 pound of walnuts
and c be the cost of 1 pound of chocolate chips
then
2w + 12c = 23 → (1)
5w + 3c = 17 → (2)
multiplying (2) by - 4 and adding to (1) will eliminate c
- 20w - 12c = - 68 → (3)
add (1) and (3) term by term to eliminate c
(2w - 20w) + (12c - 12c) = 23 - 68
- 18w + 0 = - 45
- 18w = - 45 ( divide both sides by - 18 )
w = 2.5
substitute w = 2.5 into either of the 2 equations and solve for c
substituting into (1)
2(2.5) + 12c = 23
5 + 12c = 23 ( subtract 5 from both sides )
12c = 18 ( divide both sides by 12 )
c = 1.5
then
cost of 1 pound of walnuts is $2.50
cost of 1 pound of chocolate chips is $1.50
What is the z axis? I know the x and y axis but not the z
Answer:
z axis is usually drawn vertically on a graph of at least three dimensions.It show the range of value of variable dependent
question;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
angle x= 120
if you draw a straight line passing through x and parallel to the 2 straight lines that are up and down you will get the Z symbol then the angle will be the sum of the other 2 angles
Answer:
x = 120 degrees
Step-by-step explanation:
you would do 70+50 = 120
360 - 120 = 240
240 / 2 = 120
I got the 360 degrees because I thought of the it as a circle instead of triangles.
Hope this helps!
the function F is defined by F(x) 12/x+1/2. use this formula to find the following values of the function. F(a/2)
Answer:
F(\(\frac{a}{2}\)) = \(\frac{24}{a} +\frac{1}{2}\\\)
Step-by-step explanation:
so basically what you want to do is insert the f(x) value into the equation. What I mean by that is in this equation, since f(x) = f(a/2), you want to substitute A/2 into the equation, so you'll have \(\frac{12}{\frac{a}{2} }\), if you can't see that, its 12/a/2. In other words, this is 12 ÷ \(\frac{a}{2}\) , which you can also format as 12 ·\(\frac{2}{a}\), because of the "keep, change, flip" thing. Well, you know that equation is equal to 24/a so you just have to add back the 1/2, and you have your answer!
Side Note:
I know the format is terrible, but the answer is right so please bear with me :)I know the person asking this question asked it a year ago so i'm just answering it for future usersIf i'm guessing correctly, this question originated from RSM, and I found it googling rsm problems, and my answer is correct in RSM, so if you have this same question on your RSM homework, I promise you it's rightIf you got this from RSM homework, and you have other questions about the same types, like 7abcdegi, comment, because I have those answers tooIf you have any questions about this answer, also comment, I would love to helpIf the user who asked this question is still active, I would really appreciate brainliest if you think this deserves itHope this helps!! If it did, please give it a good rating so others know they can trust it!P.S i know the commenting feature is funky but if u ever have any other questions shoot me a friend request so i'll know when you post stuff :)
Please help me with number 9
well, it was truly 12.5 mL, however she said 13 mL, well, she was off by 13 - 12.5 = 0.5 mL.
Now, if we take 12.5(origin amount) to be the 100%, what is 0.5 off of it in percentage?
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 12.5 & 100\\ 0.5& x \end{array} \implies \cfrac{12.5}{0.5}~~=~~\cfrac{100}{x} \implies 12.5x=50 \\\\\\ x=\cfrac{50}{12.5}\implies x=\stackrel{\%}{4}\)
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answer:
\(43/100\)
Step-by-step explanation:
First, make both of the denominators into 100.
Then, 3/10 would be 30/100.
Finally, you can add them to get 43/100.
A bag contains tiles of different colors. Roshan randomly selects a tile from the bag and returns the tile to the bag after recording the color. He picks a green tile 6 times, a red tile 20 times, a blue tile 7 times, a purple tile 8 times, and a black tile 4 times. Based on the results, what is the theoretical probability that the next tile Roshan picks will be green?
Answer:
6/41
Step-by-step explanation:
6 + 7 + 20 + 8 = 41 so that is number of tiles he took. 6 of those were 41 so therefore, the chance is 6/41
Answer:
There are four red marbles and six blue marbles in all, for a total of ten marbles.
Without replacement, the probability of the first marble being blue is 6/10, while the probability of the second marble being red is 4/9.
The probability of both events occurring is reduced to 4/15 by multiplying 6/10 * 4/9 = 24/90.
Step-by-step explanation:
Mark me brainliest
Young has $150.00 in a savings account that earns 5%
interest, compounded annually.
What will the balance be after 1 year?
Round to the nearest cent.
S
Answer:
$157.50
Step-by-step explanation:
The equation you use for compound interest is:
\(A = P(1 + \frac{r}{n})^{nt}\\\)
where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
So for this question,
150 is our initial balance = P
5% is our interest rate = r
n = 1 because the interest is compounded annually per 1 year so 1 per year
t = 1 because we are calculating the balance after 1 year
Now we can plug these in and solve for the final amount (A).
\(A = 150 ( 1 + \frac{0.05}{1})^{1 * 1}\)
remember that 5% is 5/100 so we put 0.05 for r
\(A = 150 (1.05)^{1}\)
A = 150 (1.05)
A = 157.5
A hollow triangular prism is filled with cola. The prism holds 5 of cola. The length is 50cm, the base of the triangle is 20cm. What is the height of the triangle?
Answer:hi
Step-by-step explanation:
question
how would you solve this problem
the ratio of *name*'s age to his brother's is 2:3. In ten years, the ratio would be 4:5. How old is *name* and his brother now and in 10 years?
also how would you solve it if the ratio changed to something different, ex: 1:3 to 3:5 in 10 years
Answer:
*name* is 10 years old now and brother is 15 years now
In 10 years they would be 20 and 25 respectively
Step-by-step explanation:
Let x = *name*'s age now
let y = brother's age now
The first relationship is that the ratio of their ages now is 2:3 or, in fraction form 2/3
That means x/y = 2/3
Cross multiply => 3x = 2y =>
3x - 2y = 0 [1]
10 years from now x would become x + 10 years, y would become y + 10 years and the new ratio is 4/5
So (x + 10)/(y+10 = 4/5
Cross-multiply
5(x + 10) = 4(y + 10)
5x + 50 = 4y + 40
Subtract 4y from both sides
5x + 50 -4y = 40
and subtract 50 from both sides:
5x - 4y = 40 - 50
5x -4y = -10 [2]
Eliminate y terms by multiplying [1] by 2 and subtracting [1] from that
[1] x 2
=> 2(3x - 2y) = 2 x 0
=> 6x - 4y = 0 [3]
[3] - [2]
6x - 4y - (5x -4y) = 0 - (-10)
6x - 4y -5x + 4y = 10
x = 10
Using equation [1] we get
x/y = 2/3
=> 10/y = 2/3
10 x 3/2 = y
5 x 3 = y
y = 15
So their ages are 10 and 15 now.
In 10 years they would be 20 and 25
If the ratios change we would have a different set of equations to solve for
For example if the current ratio is 1/3
Then we would get x/y = 1/3
or 3x - y = 0 [4]
and if 10 years from now the ratio is 3/5 then
(x + 10)/(y + 10) = 3/5
=> 5(x+10) = 3(y + 10)
=> 5x + 50 = 3y + 30
=> 5x - 3y = -20 [5]
And we would solve these equations to get x and y in a similar mannter
FYI the answers would be
x = 5, y = 15
What is the angle made by the hour hand and the minute of the clock at 8:57
Answer:
85 degrees
Step-by-step explanation:
I NEED THIS DONE ASAP
There are 4 white, 3 green, 6 black, and 2 yellow ribbons in a box. If Todd picks one ribbon from the box without looking, which color is he least likely to pick?
White
Green
Black
Yellow
(i think its yellow but i dont know)
Answer:
It's yellow, you're right :)
Step-by-step explanation:
Prob of white: 4/15
Prob of green: 3/15
Prob of black: 6/15
Prob of yellow: 2/15 (the least(
hope this helps! <3
pleaseeeeee help thank you
what are some product name ideas for food in a box? (like snacks)
dorit-its
Why;
Doritos and cheez its are the best!
if the area of a square is 32ft^2 how long is its diagonal
Answer:
45.25
Step-by-step explanation:
32^2+32^2=2048 sqrt2048 is 45.25
The diagonal of the square whose area is 32 square ft.is 8ft.
What is pythagoras theorem?
It says that in a right angled triangle the square of hypotenuse is the sum of the square of the base and the square of height.
How to calculate the length of diagonal?
Let the side of the square be x
So the area becomes \(x^{2}\)
\(x^{2}\)=32
x=4\(\sqrt{2}\) ft.
If we draw a diagonal in a square it forms a triangle in which we can easily apply the pythagoras theorem.
The length of the diagonal becomes
=\(\sqrt{(4\sqrt{2}) ^{2}+ (4\sqrt{2}) ^{2} }\)
=\(\sqrt{64}\)
=8
Hence the length of the diagonal will be 8 ft.
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Please help! I am so confused!
Answer:Since the data values have a spread of 69 cm, intervals with a range of 10 to 20 cm are reasonable
Step-by-step explanationl:The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.
PLEASE HELP ME PLEASE PLEASE
1. −2x + 6 = -16
2. -10 + 5x = -45
Can you help me?
Answer:
for the first one, it's x=11. first, you have to subtract 6 from both sides (-2x+6-6=-16-6) then you simplify that so you get -2x=-22, and from there you divide both sides by -2
getting -2x/-2=-22/-2 then you simplify that and get x=11
and for the second one x=-7. first, you have to add 10 to both sides
(-10+5x+10=-45+10) then simplify that down to 5x=-35 then divide both sides by 5 (5x/5=-35/5) then simplify that down to x=-7
40 points to whoever get these right!! <3
{11, 14, 22}
Step-by-step explanation:Triangle Inequality Theorem states that two sides of a triangle must be greater than the third side.
Using this method, the answer is {11, 14, 22} because 11+14>22, 11+22>14, and 14+22>11
[2] Answer:x = 67°
Step-by-step explanation:Same-side interior angles are supplementary.
x° + 113° = 180°
x° = 180° - 113°
x = 67°
[3] Answer:r = 2°
Step-by-step explanation:The little box represents 90 degrees, meaning that these angles are complementary.
9r + 2° + 70° = 90°
9r + 72° = 90°
9r = 18°
r = 2°
pls help quick. will give brainliest.
A right rectangular prism has a square base and a height of 10 feet. Its volume, V, is 90 cubic feet. What is the length of the sides of the base?
answers are :
3ft
6ft
9ft
12ft
notice, it has a square base, so the base or bottom of the rectangular prism, is a square, that means, length = width = x, length and width both have the same value, let's say "x", check the picture below
Answer:
3 :)
Step-by-step explanation:
15=-6 you solve the left side, 7+6 which is 15
then you solve the right side, -1x6 which is -6
Answer:
15=13
Step-by-step explanation:
15=-6 you solve the left side, 7+6 which is 15?
15=-6 =
7+6 = 13
15=13
i'm not sure...
15=13 would be the answer : )
please answer this question today
Please help with all 4 problems!!! (Show work pls!!!)
Find the distance between Point A and Point B. Enter your answer in the box
sty
B
4
3
2.
1
А
X
0 1 2 3 4 5
units
Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = A(2, 1) and (x₂, y₂ ) = B(5, 5)
AB = \(\sqrt{(5-2)^2+(5-1)^2}\)
= \(\sqrt{3^2+4^2}\)
= \(\sqrt{9+16}\)
= \(\sqrt{25}\)
= 5
IF ANSWERED CORRECTLY WILL GIVE BRAINLIEST
Inference: More people prefer pink lemonade than any other flavor
Defend or challenge the inference with at least two complete sentences.
Answer:
1) because people enjoy the pink color, but also because it is not as sour with the added fruit flavors
2) it is less sour than traditional lemonade.
Step-by-step explanation:
PLEASE ASAP HURRY!!!
Answer:
Strawberry= 3
Watermelon=3
Coconut=9
Orange=5
Step-by-step explanation:
Quite easy, you can use substitution
First look at the simplest row that can be solved by itself
row 2:
2strawberries +4 = 10
2 strawberries= 6
1 strawberry = 3
Row 3: Strawberry(3)+ orange=8
1 orange= 5
Rpw 4: 14= 1coconut +orange(5)
1 coconut= 9
Row 1: Coconut(9)+ watermelon+ coconut(9)= 21
2 coconut(18)= 21
1 watermelon = 3
A factory can package 8 cans of diced pineapple every 60 seconds. Predict how many cans will be produced during an 8-hour work shift. (60 s = 1 min, 60 min = 1 h)
Answer:
3840 cans will be produced in an 8-hour work shift.
Step-by-step explanation:
So a factory can package 8 cans of diced pineapple in 60 seconds NOT minutes. So 60 seconds=1 minute, and 60 minutes=1 hour. So first we have to multiply 8 times 60 which comes out to be 480, so 480 cans are produced in 1 hour, not 8. So if 480 cans are produced in 1 hour then just multiply 480 times 8, which comes out to be 3,840.
Hence your answer is 3,840.
Hope this helps!!Mark as Brainliest!
solve inequality and please show step by step
Answer:
Step-by-step explanation:
x ≥ 13
x ∈ [ 13 , ∞ )
A local computer store sold 82 laptops this past month. Since the store first opened, it has sold 76 times that number. How many laptops has the store sold since it opened?
a. 5,412
b. 6,232
c. 6,192
d. 5,952
The store has sold 6,232 laptops since it opened.
Option B is the correct answer.
We have,
Step 1:
Identify the number of laptops sold last month.
The problem states that the store sold 82 laptops in the past month.
Step 2:
Determine the total number of times the store has sold laptops since it opened.
The problem says that the store has sold 76 times the number of laptops sold last month.
So, we need to multiply 82 by 76.
82 laptops * 76
= 6,232 laptops
Thus,
The store has sold 6,232 laptops since it opened which is option B.
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What expression represents the verbal phrase?
The sum of 6.2 times a number t, 2.6 times a number t, and 4.2 times a number t
____ t
The mathematical expression can be written as 6t, 2.6t, and 4.2t.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the sum of 6.2 times the number t, 2.6 times the number t, and 4.2 times the number t.
The expression will be written as:-
6t, 2.6t, and 4.2t.
Hence, It is possible to write a mathematical expression as 6t, 2.6t, and 4.2t.
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Answer:
Step-by-step explanation:
I don't know your answer someone pls answer