Answer:
If we have a x% sugar syrup, this means that the ratio between the amount of sugar and the total amount of syrup (water + sugar), times 100%, is equal to x%
So we if we have 100gr of sugar and m grams of water mixed, we have:
100gr + m = M = grams of syrup, then we have:
then we have:
(100gr/M)*100% = x%
then
100gr*(100/x) = M
where M is the total amount of syrup that you can make.
Answer:
10000/x
Step-by-step explanation:
So, we can try to put this into an algebraic expression doing this!
We know that % means, *out of 100*, therefore
x=100
100=1 Which means, 100 over one equals to x over 100!
Cross multiply.
100*100 is 10,000
x*1 is x
you cannot simplify it further so we just leave it as, 10,000 divided by x, because x=10,000, would be 10,000 divided by x!
Cheers! I hope you can understand this now.
hola por favor ayudame
Answer:
119
Step-by-step explanation:
X + 1/x = 11
X^2 + 1/x^2 = 119
(X + 1/x)^2
10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each of the numbers.
The sum of two numbers is 13 more than twice the first number:
x + y = 2x +13
x - y = y - 14
solve the system of equations:
x - (x + 13) = (x +13) - 14
x = -12
y = 1
Find the area of the triangle.
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
Which graph represents the equation below
Answer:
c.
Step-by-step explanation:
c is the correct answer 1,4
Answer:
graph C
Step-by-step explanation:
so the equation given is [tex]f(x)=-(x+1)(x-3)[/tex]
the negative in front of the (x+1)(x-3) indicates that the parabola will reflect over the x-axis and will open downward. This eliminates graphs A and B
the (x+1)(x-3) part tells you the zeros of thr function(x-intercepts)
All you have to do is set (x+1) equal to zero and (x-3) equal to zero as shown:
x+1=0 -- subtract 1 from both sides to get -- x=-1
x-3=0 -- add 3 to both sides to get -- x=3
Therefore, -1 and 3 are your zeros or x-intercepts for the function.
Now, look at graphs C and D to see which of the two graphs passes through (-1,0) and (3,0), of course at the x-axis
The only graph that works is graph C so graph C is your answer
rationalize the denominator of
1/3+√2
Answer:
(-√2 + 3)/7
Step-by-step explanation:
To rationalize the denominator, we need to multiply by the conjugate:
1/(3 + √2)*(3 - √2)/(3 - √2)
(3 - √2)/(9 - √4)
(3 - √2)/(9 - 2)
(-√2 + 3)/7
AB is included between
A. BC and AC
B. AB and BC
C. ZB and ZC
D.A and B
Answer:
BC and AC are the answers
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =
Answer:
2x -3y = 19
Step-by-step explanation:
For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-5-(-1))/(2 -8)(x -8) +(-1)
y = -4/-6(x -8) -1
3y = 2x -16 -3 . . . . multiply by 3
2x -3y = 19 . . . . . . rearrange to standard form
__
The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.
Answer:
2x + -3y = 19
Step-by-step explanation:
I promise
Work out 1/2 x 7 giving you answer as a mixed number.
Answer:
[tex]3 \frac{1}{2} [/tex]
solution,
[tex] \frac{1}{2} \times 7 \\ = \frac{1 \times 7}{2} \\ = \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment....
The answer in mixed number is written as [tex]3\dfrac{1}{2}[/tex]
The given expression is [tex]\dfrac{1}{2} \times 7[/tex].
Mixed fraction is composed of an integer with a proper fraction.
A proper fraction is one which has numerator's value smaller than that of denominator.
The conversion will go like shown below:
[tex]\begin{aligned}\dfrac{1}{2} \times 7&= \dfrac{7}{2}\\&= \dfrac{3 \times 2 + 1 }{2}\\&= 3 + \dfrac{1}{2}\\&= 3\dfrac{1}{2}\end{aligned}[/tex]
Thus, the resultant mixed number of given expression will be given as [tex]3\dfrac{1}{2}[/tex]
Learn more here:
https://brainly.com/question/236680
The graphs of the quadratic function y= 2x^2and the exponential function y= 2^x are shown below.
Considering only the domain shown on the graph over which interval is the value of the exponential function greater than the value of the quadratic function?
A. -2.5
B. 1
C.-0.5
D.1
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation: yay :D
Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
31:9
Step-by-step explanation:
Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that
\begin{align*}
A + n &= 4(B - n),\\
A - n &= 3(B + n).
\end{align*}
Simplifying, we have
\begin{align*}
A + 5n &= 4B, \\
A &= 3B + 4n.
\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.
Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.
Find 3 rational number between: 1) -5 and -6 2)
Answer:
3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.
Step-by-step explanation:
Answer:
-5.2, -5.6, and -5.8.
Step-by-step explanation:
3 rational numbers between -5 and -6.
-5 > x > -6
Where x is a rational number, that can be expressed in p/q form.
The numbers can be -5.2, -5.6, and -5.8.
-5.2 = -26/5
-5.6 = -28/5
-5.8 = -29/5
The numbers can be expressed in p/q form, so they are rational.
Can u guys PLEASE answer this question ASAP. The line l has equation y=3x+5
1)what is the y intercept
2)what is the gradient
3)find the equation of the line that has the same y intercept as l but has a gradient of 1/2
4) find the equation of the line that has the same equation as l but has a y intercept of -2
Answer:
try to look in desmos graphic calculator
Step-by-step explanation:
The figure below shows a line graph and two shaded triangles that are similar:
-20-16-12-8-40
-1
4 8 12 16 20
Which statement about the slope of the line is true?
The slope from point o to point A is one-fourth times the slope of the line from point A to point B.
The slope from point o to point A is four times the slope of the line from point A to point B.
Olt is throughout the line
It is -4 throughout the line.
Answer:
It is - [tex]\frac{1}{4}[/tex] throughout the line
Step-by-step explanation:
The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)
m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]
Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.
120 decreased by 45%
Answer:
Try 66 For your answer......
Which number(s) below belong to the solution set of the inequality? Check all that apply x + 30 < 60 a.300 b.1 c.29 d.30 e.50 f.45
Answer:
b and c
Step-by-step explanation:
x+30<60 -->x < 60 -30 = 30 --> x < 30
Answer:
B and C
Step-by-step explanation:
We can solve for x in the inequality just like you do when solving algebra equations of an = sign.
x + 30 < 60
x + 30 - 30 < 60 -30
x < 30
"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.
Since x is smaller than 30, and is not 30,
the only option that is correct is B, 1 and C, 29.
Compare each whole number in the following pairs. Insert the symbol to make the statement true. a. 15 _____ 8 b. 4 _____ 134 c. 3 _____ 5 d. 351 _____ 215
Answer:
a. >
b. <
c. <
d. >
Step-by-step explanation:
15 is greater than 8
4 is less than 134
3 is less than 5
351 is greater than 215
A polynomial function can be written as (x + 1)(x + 4)(x – 7). What are the x-intercepts of the graph of this function?
(1,0), (4,0), (7,0)
O(-1,0), (-4,0), (-7,0)
O (1,0), (4,0), (-7,0)
O(-1,0), (-4,0), (7,0)
Answer:
fourth option
Step-by-step explanation:
Given
f(x) = (x + 1)(x + 4)(x - 7)
To find the x- intercepts let f(x) = 0, that is
(x + 1)(x + 4)(x - 7) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
x - 7 = 0 ⇒ x = 7
x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement. (Her arrangement doesn't need to be a valid word.) The probability that Amy forms an arrangement that begins and ends with vowels is _____. The probability that Amy forms an arrangement whose letters are in alphabetical order (ascending or descending) is ______.
Answer #1: [tex]\frac{1}{2}[/tex]
Answer #2: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
__ __ __
There are 4 × 3 × 2 possibilities. For the first question, "The probability that Amy forms an arrangement that begins and ends with vowels is _____." To have a her word end in a vowel, then her word will have to end in either 'e', or 'i'. For this to be possible there are two possibilities for the last letter. Then the middle letter will have three possibilities because one letter will have been used for the last one. Finally, there will be two more possibilities for the letter at the end. That's 2 × 3 × 2 possibilities.
To get a word whose arrangement is in alphabetical order either backwards or forwards I just listed possibilities:
CDE
CDI
CEI
IDC
IEC
IED
There are six in all which means the answer to problem two is six out of twenty four.
A is 0.5 and b is 1
Which shows the correct method for solving the equation below? One-third (y minus 9) = 3 A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Answer:
1st one 18
Step-by-step explanation:
you distribute the 1/3 then at 3 then multiply by 3
When I say multiply by 3 I mean 1/3=6 multiply both sides by 3
Answer:
Its A or 18
Step-by-step explanation:
thanks to the other guy
Find the midpoint of the line segment with end coordinates of: (1,7) and (3,−2) Give coordinates as decimals where appropriate.
Answer:
(2, 2.5 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus
midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )
What is the start velocity of a javelin accelerated at 3.75 m/s2 for 2 seconds, and reaching 9375 m/s?
Answer:
Step-by-step explanation:
u = ?
a = 3.75m/s^2
t = 2 s
v = 9375m/s
a = v-u/t
3.75 = 9375 - u / 2
3.75 × 2 = 9375 - u
7.5 = 9375 - u
u = 9375 - 7.5
= 9367.5 m/s
Hope this helps
plz mark as brainliest!!!!!!!
The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all cars, write and solve an inequality to represent the minimum number of cars she must sell in order to be a sales person
Answer:
[tex]numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}[/tex]
Step-by-step explanation:
Hello, I can help you with this
Step 1
define
The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M
if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person
Step 2
using a rule of three find the 100%
if
12% ⇔ $9000
then
100% ⇔x
the ratio is
[tex]\frac{12}{9000}=\frac{100}{x}\\[/tex]
Now, solve for x
[tex]\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\[/tex]
so, Sandra must sell a minimun of $75000
Now, to give a response, we need to asume a only price for every car(p).
now, in matemathical terms.
the minimun number of cars she must to sell is
minum number of cars sandra has to sell to become a STAR sales person
is [tex]\frac{75000}{price\ of\ the\ car} \\[/tex]
[tex]\frac{75000}{price\ of\ the\ car} \\[/tex]
now, price of the car* number of the car = 75000
where
[tex]numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}[/tex]
Have a nice day
So for math class they gave me this equation and it is 6 ÷ 3(1+2) it makes no sense, I just keep getting stumped
Answer:
The answer is 6.
Step-by-step explanation:
6 ÷ 3 = 2
2+4 = 6
Round 0.0008873319 to 2 significant figures
Answer:
0.00089.
Step-by-step explanation:
The third significant figure is 7 so we round up the 8,
Dan is 8 years older than Fiona. Gavyn is 9 years younger than Fiona. If the total of their ages is 56, how old is the eldest of them?
Answer:
27
Step-by-step explanation:
If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:
x + x + 8 + x - 9 = 56
3x - 1 = 56
3x = 57
x = 19
The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.
Prices for a day-ticket entrance at the Day-ticket Disneyland Paris Resort are as follows Pric Entrance Adult 205 $45 E170 Children Work out the percentage discount offered with the family ticket option. 2 adults, 2 children)
Answer:
15%
Step-by-step explanation:
Price of daily tickets entrance
Adult=£55
Children=£45
Family (2 adults and 2children)=£170(discount price)
Let
price for adults=a
Price for Children=c
Price of tickets without discount for 2 adults and 2 children=2(a+c)
=2(55+45)
=2(100)
=£200
Percentage discount offered with the family tickets=difference in price/original price×100
=£200-£170/200×100
=30/200×100
=30/2
=15%
The Percentage discount offered with the family tickets=15%
What is the sign of the product (−4)(2)(−3)(6)? (5 points) Select one: a. Positive, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is positive b. Positive, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is positive c. Negative, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is negative d. Negative, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is negative
Answer: Option A
Step-by-step explanation:
In a study of pain relievers , 100 people were given product A , and all but 33 experienced relief . In the same study , 50 people were given product B , and all but 12 experienced relief
Answer:
Here we want to find the relative frequencies for both products.
for product A we have a sample of 100 people (our 100%) and all but 33 of them experienced relief.
Then, we can find the relative frequency as:
Pa = (33/100)*100% = 33%
this means that product A is not efficient in 33% of the cases.
For product B, the sample is 50 people (our 100%) and all but 12 of them experienced relief, then the relative frequency is:
Pb = (12/50)*100% = 24%.
This means that product B is not efficient in 24% of the cases.
We can see that, in percentage, the product B seems to be more efficient.
the values of x and y vary diectly and one pair of values are given write an equation that relates x and y if x=-5 and y=10
Answer:
2x = -y
Step-by-step explanation:
Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
half of room because worker A can paint fast so he will paint fast
Answer:
5/6 of the room would be painted if both of them painted the room together in 1 hour
Step-by-step explanation:
Work done by A in 1hour=1/2
Work done by B in 1hour=1/3
Therefore total work done by both in 1hr=1/2+1/3
LCM of 2 and 3 is 6
therefore 1/2+1/3=3/6+2/6=5/6