Answer:
120
Step-by-step explanation:
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
2.Solve -75 = -25a.
A.
3
B.
-100
c.
-50
Answer:
A
Step-by-step explanation:
-75=-25a
Divide both sides by -3:
3=a
a=3
The answer is choice A
Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%
Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)
Multiply the original price by 85%:
5250 x 0.85 = 4462.50
The new price is $4,462.50
Help please! I’m bad at math
Answer:
The answer should be 40
Step-by-step explanation:
85+55=140
180-140=40
Which word best describes a parallelogram with diagonals that are congruent and perpendicular?
A. rectangle
B. rhombus
C. square
D. trapezoid
given
[tex] log_{2}(x) = \frac{3}{ log_{xy}(2) } [/tex]
express y in terms of x
Answer:
[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]
Step-by-step explanation:
Logarithms
Some properties of logarithms will be useful to solve this problem:
1. [tex]\log(pq)=\log p+\log q[/tex]
2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]
3. [tex]\displaystyle \log p^q=q\log p[/tex]
We are given the equation:
[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]
Applying the second property:
[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]
Substituting:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]
Applying the first property:
[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]
Operating:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]
Rearranging:
[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]
Simplifying:
[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]
Dividing by 3:
[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]
Applying the third property:
[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]
Applying inverse logs:
[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]
PLZ HELPPP The statement below represents an equation.
Which equation is represented by this statemen
1. 1/n+6=1/4÷2
2. n/6=1/4+n/2
3. 1/n+6=1/4+n/2
4. n/6=1/4xn/2
/ is fractions
Answer: It number 4
Step-by-step explanation:
I need help and for the other select it’s are or are not
Answer:
Step-by-step explanation:
It's clear from the graph that the angles of the given triangles are different.
And for similarity of two triangles, at least two angles of the triangles should be congruent.
Therefore, both the triangles are not similar.
The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.
{(2,5), (-3, 4), (-4,-4), (x,-5)}
What value of x will make the relation a function?
-3
-4
5
2
Answer:5
Step-by-step explanation:
because idrk my teacher just answered this question and i thought i would share :)
The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?
Consider the triangle.
Which shows the order of the angles from smallest to largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
Answer:
angle B, angle A, angle C
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s. His bat hit the ball at a height 3 ft above the ground. After how many seconds did the ball hit the ground? (Give your answer to the nearest hundredth of a second.)
Answer:
t = 6.031 seconds
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
We need to find how many seconds did the ball hit the ground.
Using equation of motion to find height of the ball.
[tex]h=-16t^2+96t+3[/tex]
When it hits the ground.
h = 0
[tex]-16t^2+96t+3=0[/tex]
It is a quadrctic equation where a = -16, b = 96 and c = 3
[tex]t=\dfrac{-96\pm \sqrt{96^2-4(-16)(3)} }{2(-16)}\\\\t=-0.031\ s, 6.031\ s[/tex]
Neglecting negative value.
So, after 6.031 seconds the ball will hit the ground.
Given :
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
To Find :
After how many seconds did the ball hit the ground.
Solution :
When the ball reaches the same height from which it is thrown ( i.e. 3 ft ) its displacement will be zero.
So, using equation of motion :
[tex]s = ut + \dfrac{at^2}{2}\\\\96t - \dfrac{10t^2}{2} = 0\\\\5t^2 - 96t = 0\\\\t( 5t - 96 ) = 0\\\\t = \dfrac{96}{5}\\\\t = 19.2 \ s[/tex]
Now, time taken to reach ground from 3 feet of height is :
[tex]s = ut + \dfrac{at^2}{2}\\\\3 = 96t + 5t^2 \\\\5t^2 + 96t - 3 = 0[/tex]
t = 0.03 s
Therefore, time taken is T = 19.2 + 0.03 = 19.23 seconds.
Add (-12x+6)+(4x-12)
Answer:
-8x - 6
Step-by-step explanation:
Combine like terms: combining -12x + 4x results in -8x, and combining 6 and -12 results in -6. Thus, we have
(-12x+6)+(4x-12) = -8x - 6
Please help! ill give brainliest to anyone with correct answer ASAP!!!
Answer:
5.25x + 55 is greater than or equal to 399
Step-by-step explanation:
55 is a fixed amount of money that Amelia already has so that will be added to the part of the eqaution: 5.25x.
Her total should be greater than or equal to $399
Mr Doyle mowed 2/7 of his lawn. His son mode 1/3 of it. Who made most of the lawn? How much of the lawn still needs to be mowed?
Answer:
His son mowed most of it and 8/21 of it still needs to be done.
Step-by-step explanation:
Trust me
Rate 5 stars mark as brainliest and press thancks plz!
Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?
Answer:
65 parlingsStep-by-step explanation:
Use ratios:
7.5 mots / 37.5 parlings = 13 mots / x parlingsx = 13*37.5/7.5x = 65Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B. Lease
Step-by-step explanation:
Cash has value
A vehicle has value
A house has value
But a lease itself does not have value
Asset is something you own that has value
Hope this helped!
Have a supercalifragilisticexpialidocious day!
please help will give brainliest
Answer:
C
Step-by-step explanation:
AE = 14.6 I think. If I'm wrong, use whatever number it is.
Sin(x) = 5/14.6
Sin(x) = 0.3425
x = Sin-1 (0.3425)
x =20.03
Now the other larger triangle has an acute angle of 90 -20.03 = 69.97
===================
Cos(69.97) = 13.1/DE
DE = 13.1/cos(69.97)
DE = 38.25
PLS HELP ill give brainliest im really stuck and its DUE SOON
Answer:
B
Step-by-step explanation:
I NEED HELP PLEASE !!!!!
Answer:
The distance between points A and B is 3 units
Step-by-step explanation:
We need to find distance between points on the number line.
The points given are:
A = -1 , B = 2
The formula used is: [tex]Distance = |b-a|[/tex]
Putting values of a and b and finding answer:
[tex]Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3[/tex]
So, The distance between points A and B is 3 units
Convert 30% into a fraction and shade the circle according to the result.
Answer:
3/10 shade 3 in
Step-by-step explanation:
Help meeeeee! plsssssssssssssssssssssssssssss
Step-by-step explanation:
Store a must offer 30%
If the measure of two sides of the triangle are 3 feet's and 7 feet's, which is the least possible whole number measure for the third side
Answer:
5 feet
Step-by-step explanation:
By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.
Let x feet be the length of the third side.
We have 3+x>7, x+7>3 and 3+7>x.
Solving these, we get x > 4, x > -4 and x < 10.
The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.
Therefore the answer is 5 feet.
Simplify the following and express the result in positive exponential form
( 3/11)-2 x ( 3/11)-5
Answer:
Step-by-step explanation:
Solution:
Your problem → (3/11)-2 x (3/11)-5
(3/11)-2x(3/11)-5
=(3/11)-2x × (3/11)-5
=(3/11)-(6x/11)-5
=(3-6x-5×11)/11
=3-6x-55/11
=(-52-6x)/11
A cyclist travels 18 km from home to the park.
She leaves home at 16:00 and arrives at the park at 16:45.
What is her average speed in km/h?
Answer: 24 km/h
Step-by-step explanation:
She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h
2/5k - 3/5 + 1/10k ?
Answer:
Since it is not an equation u wont get a numerical value
so basically its just fraction addition and subtraction
which is ((2/5)-(3/5)+(1/10))k
so answer is (-1/10)k
Step-by-step explanation:
[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]
[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]
[tex] \frac{5}{10} k - \frac{3}{5} [/tex]
[tex] \frac{k}{2} - \frac{3}{5} [/tex]
Help. I need help with these questions ( see image).
Please show workings.
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the power rule.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
__
4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
__
If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
Find the Mean,
3, 9, 13, 8, 10, 2
Mean
can someone help me?
Answer:
7.5
Step-by-step explanation:
3 + 9 + 13 + 8 + 10 + 2 = 45
There are 6 numbers so we divide 45 by 6
45/6 = 7.5
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Answer:
a. 311 hours
b. i. $3,100 in receipts
ii. $2,799 in expenses.
Step-by-step explanation:
a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:
= 10 - 9
= $1 per hour
Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:
= 311 / 1
= 311 hours
b. In 311 hours, the total receipts would be:
= 311 * 10
= $3,110
The expenses would be:
= 311 * 9
= $2,799
The population growth of two towns over a period of five years is represented by the system of equations below, both algebraically and graphically D IS (10,4) it didn’t show up so
Answer:
(4, 10)
Step-by-step explanation:
Hope this helps
The solution to the system of equations is the ordered pair in option B. (4, 10).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Population growth of two towns over a period of five years is represented by the system of equations :
y = x + 6
y = 2x + 2
Here y represents the population growth and x represents the number of years.
Solution of the system of equations is the point where the graph of both equations intersect.
Intersecting point is (4, 10).
Algebraically, we can solve this as,
We have y = x + 6 and y = 2x + 2.
x + 6 = 2x + 2
x - 2x = 2 - 6
x = 4
y = x + 6 = 4 + 6 = 10
So (x, y) = (4, 10)
Hence the solution to the system of equations y = x + 6 and y = 2x + 2 is the point (4, 10).
Learn more about Linear Equations here :
https://brainly.com/question/11897796
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