Answer: We need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
Step-by-step explanation:
Let x be number of pints of the first fruit drink which is ( 55% pure fruit juice), while y will be the number of pints of second fruit drink (85% pure fruit juice).
We know that there are 60 total pints. Therefore:
x + y = 60
We also know that 60% of the 60 pints will be pure fruit juice, and the pure fruit juice will either come from
x or y.
For x pints of first juice, there is 0.55x pure fruit juice while for y pints of first juice, there is 0.85y pure fruit juice. Therefore, we get:
0.55x + 0.85y = 60 × 0.6
0.55x + 0.85y = 36
We will get rid of the decimals by multiplying through by 100. This will be:
55x + 85y = 3600
Combining both equations
x + y = 60 .......... i
55x + 85y = 3600 ........ ii
Multiply equation i by 55
Multiply equation ii by 1
55x + 55y = 3300
- 55x + 85y = 3600
Then subtract
-30y = -300
y = 10
Therefore, we need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
ill used 5⁄6 cup of flour and 1⁄3 cup of sugar. How much more flour than sugar did Jill use in her recipe?
Answer:
5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 more cups of flour. Hope this helps!
Answer:
1/3 x 2/2 = 2/6
5/6 - 2/6 = 3/6
3/6 / 3/3 = 1/2
1/2 more flour than sugar
Hope this helps. If you have any questions you can ask.
Step-by-step explanation:
Which graph matches the equation y+3=2(x+3)? Mark this and return
Answer:
x= y+3/2 -3
Step-by-step explanation:
y+3/2=x+3
y+3/2-3=x
The line y = 2x + 3 on plotted graph.
Given that,
To determine whether the graph matches the equation y+3=2(x+3)
The line is a curve showing the shortest distance between 2 points.
The standard form of the equation of the line can be given as y = mx +c
Here,
y+3=2(x+3)
Simplifying the equation
y = 2x + 6 - 3
y = 2x + 3
The above-simplified equation represents the equation of line with slope and y-intercept as 2 and (0,3) respectively.
Thus, the line y = 2x + 3 on plotted graph.
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Use angles shown to make other angles ... Please help.. I know I have a lot of these but help ...
The right answer is <DEF and <GHJ.
EXPLANATION:
if we add 40 degree and 50 degree then it will result to 90 degree .
Right angles are those angles which is exactly 90 degree.
Hope it will help you.....
Follow me for more....-pragya~~
Step-by-step explanation:
angles GHJ and DEF
50+40=90
For Zoey's lemonade recipe, 7 lemons are required to make 14 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade
Answer:
1 lemon = 2 cups of lemonade
Step-by-step explanation:
Casey was asked to find XY. What is Casey error?
Answer:
[tex]XY=2YZ\\XY=2\times4\\XY=8[/tex]
The value of XY is given by the trigonometric relation and the measure of side of the triangle is XY = 8
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as XYZ
Let the measure of the side XY of the triangle be A
The measure of side YZ = 4
Now , from the trigonometric relations , we get
sin θ = opposite / hypotenuse
when θ = 30°
Substitute the value of θ in the equation , we get
sin θ = YZ / XY
On simplifying the equation , we get
sin 30° = 4 / XY
Multiply by XY on both sides of the equation , we get
XY ( sin 30° ) = 4
The value of sin 30° = 1/2
So , XY / 2 = 4
Multiply by 2 on both sides of the equation , we get
XY = 8
Hence , the measure of side XY of triangle is XY =8
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One of the factors of quadratic is (x+5) the only other piece of information is that the middle term is zero what must the other factor be
Answer:
x-5
Step-by-step explanation:
The middle term has a coefficient that is the sum of the constants in the binomial factors. For that to be zero, the other binomial factor must be ...
(x -5)
__
(x +5)(x -5) = x^2 -25 . . . . . middle term is zero
In a right triangle, the measure of theta = 43 degrees and the side opposite to the measure of theta is 6.5 cm long. The length of the side adjacent to the measure of theta is approximately
We have been given that in a right triangle, the measure of [tex]\theta = 43^{\circ}[/tex] and the side opposite to the measure of theta is 6.5 cm long. We are asked to find the length of adjacent side to the angle theta.
We know that tangent relates opposite side of right triangle adjacent side.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(43^{\circ})=\frac{6.5}{\text{Adjacent}}[/tex]
[tex]\text{Adjacent}=\frac{6.5}{\text{tan}(43^{\circ})}[/tex]
[tex]\text{Adjacent}=\frac{6.5}{0.932515086138}[/tex]
[tex]\text{Adjacent}=6.9703966[/tex]
[tex]\text{Adjacent}\approx 6.97[/tex]
Therefore, the length of adjacent side to angle theta is approximately 6.97 units.
Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below. In January she used 3/5 of the amount of oil that she used in February Fill in the amount of oil that Jackie used in January in the table below
Answer: 2/5
Step-by-step explanation:
Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?
Answer:
[tex] 240 =5x +115[/tex]
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
[tex] 240-115= 5x[/tex]
[tex] 125 = 5x[/tex]
And now we can divide both sides by 5 and we got:
[tex] x= 25[/tex]
So then the number of hours spent to decorate the house are 25
Step-by-step explanation:
Based on the information given we can model this function with this formula:
[tex] y = mx+b[/tex]
Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:
[tex] 240 =5x +115[/tex]
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
[tex] 240-115= 5x[/tex]
[tex] 125 = 5x[/tex]
And now we can divide both sides by 5 and we got:
[tex] x= 25[/tex]
So then the number of hours spent to decorate the house are 25
The fraction, in hundredths,that is equivalent to 9/10
Answer:
9/10 is equivilent to 0.900
Step-by-step explanation:
represents the
Which equation best
relationship between x and y shown in
the table?
Answer:
Step-by-step explanation: It’s C, So you just plug it in basically. y = 4x + 1, for example let’s use the third column y = 4(2) + 1, equals 9. You just repeat it in all the other columns and you equal y. So it’s C, y = 4x + 1
Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) affected the heart rate of overweight and non-overweight adolescents differently. A group of 22 adolescents, 10 classified as overweight and 12 as not overweight played DDR for 12 minutes, during which time the researchers measured each participant's heart rate. Which statistical test should the researchers use to analyze their data?A) independent-samples t testB) dependent-samples t testC) z testD) single-sample t test
Answer:
dependent-samples t test
Step-by-step explanation:
Here we want to test the effect of game Dance Dance Revolution (DDR) on heart rate.
The hypothesis is
[tex]H_0:\mu_d=0 vs H_a:\mu_d\neq 0[/tex]
where,
[tex]\mu_d=\frac{\sum di}{n} di = Xi-Yi[/tex]
Where Xi = heart rate before playing the game Dance Dance Revolution (DDR)
Yi = heart rate after playing the game Dance Dance Revolution (DDR)
This test is paired t-test( dependent sample t test).
To measure the effect of experiment. (before - after condition)
help fast timed plss!!
Answer:
Top to Bottom:
2nd Parallelogram
2nd Trapezoid
Triangle
1st Parallelogram
1st Trapezoid
Step-by-step explanation:
1. Trapezoid: 40
2. Triangle: 30
3. Parallelogram: 32
4. Trapezoid: 28
5. Parallelogram: 24
P.S. Sorry I took to Long
what is it called when writing a number by adding the value of each digit
Answer:
Expanded form
Step-by-step explanation:
Expanded form or expanded notation is a system of writing numbers to see the value of each individual digits. The number are written in the form of tens, hundreds and ones etc. The expanded form of 44 will be 40 +4 where 4 is at ones place and 40 is at tens place.
How much is 3 times 4
Answer:
3×4 = 12!
TWO WAYS TO LOOK AT IT:
(A) 3 groups of 4!
(B) 4 groups of 3 apples!
What’s the correct answer for this?
Answer:
a) the co-ordinates of the center are (-3,4) and the length of the radius is 10 units
Center (h,k) = (-3 ,4) and radius 'r' = 10
Step-by-step explanation:
Step(i):-
Given circle equation is
[tex]2 x^{2} +12 x+2 y^{2} -16 y-150 =0[/tex]
Dividing "2' on both sides, we get
[tex]x^{2} +6 x+ y^{2} -8 y-75 =0[/tex]
Step(ii):-
now
[tex]x^{2} +2(3x) + (3)^{2}-(3)^{2} +y^{2} -2 (4 y)+(4)^{2}-(4)^2 -75 =0[/tex]
by using (a+b)² =a²+2 a b+b²
(a-b)² =a²-2 a b+b²
[tex](x+3)^{2}-(3)^{2} +(y-4)^{2}-(4)^2 -75 =0[/tex]
[tex](x+3)^{2}-9 +(y-4)^{2}-16 -75 =0[/tex]
[tex](x+3)^{2} +(y-4)^{2}-100 =0[/tex]
[tex](x+3)^{2} +(y-4)^{2}=100[/tex]
[tex](x+3)^{2} +(y-4)^{2}=(10^2)[/tex]
by comparing
[tex](x-h)^{2} +(y-k)^{2}=(r^2)[/tex]
Final answer:-
Center (h,k) = (-3 ,4) and radius 'r' = 10
What is the quotient of 38 and 23?
Answer:
im not sure if your doing it by 38 dividend by 23 but i got 1.652174.......idk really im doing the same question lol.
Step-by-step explanation:
PLEASE HELP
( velocity - on a graph )
Answer:
a) v_avg = k
b) 0.034 km/h
Step-by-step explanation:
a) The average velocity is given by the displacement over the time:
[tex]v_{avg}=\frac{\Delta x}{\Delta t}[/tex] (1)
Δx is the area under the line. In this case you can consider two areas. Firs, from t=0 t0 t=30 and from t=30 to t=50:
S1 = 30k
S2 = 20k/2 = 10k
Then, the total surface is:
S = S1+S2 = 50k
The average speed is:
v_avg = (50k)/(50s)= k
b) The value of k can be determined by using the expression for the total area under the line, which is the total displacement of the car S=1.7 km:
S=50k=1.7km
k=(1.7km)/(50k)=0.034km/h = 34 m/h
A quadrilateral has 4right angles and 2 pair of opposite sizes that are parallel. What quadrilateral could be
Answer:
parllelogram
Step-by-step explanation:
............
Please help quickly !!!!!!
Answer:
You should be able to figure this out from the explanation below.
Step-by-step explanation:
When two lines cuts across each other they form.what we call.vertically opposite angles so from the figure above, we can say:
Look at the diagram below for more understanding of the concept.
Answer: 77 degrees
Step-by-step explanation:
Use Theorem "measure of the angle is the average of the measures of the arc
(a=b+c/2)
a=x
b=76
c=78
Set up your equation, X=76+78/2
=77
Hope this heeelps~!!
-Michiko
Estimate the product :23. 8 × 349
Answer:
8400
Step-by-step explanation:
Round them to their nearest whole:
23.8 x 349
24 x 350
We then use what we rounded and answer...
24 x 350 estimated to 8400
Answer:
6000
Step-by-step explanation:
23.8 - 20
349 - 300
20 times 300 = 6000
In triangle ABC angle a equals 72° side C equals 61 and angle B equals 16° find side a to the nearest 10th
Answer:
58.0 units
Step-by-step explanation:
In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.
C = 180° -A -B = 180° -72° -16°
C = 92°
The law of sines tells us ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)
a ≈ 58.0 . . . . units
Write an expression using numbers and variables for each expression below.
Example: 10 less than the product of 15 and c 150 - 10
A number d is decreased by 5 and then doubled.
Answer:
a number x is multiplied by 4 then increased by 2
Step-by-step explanation:
4x+2
HELP ME PLEASE, I will help you too
Answer:
M
Step-by-step explanation:
1 and 7/8 is between 1 and 2
Answer:
Point M.
Step-by-step explanation:
Each number is divided into fourths. 7/8 is in the middle of a fourth, and it is 1/2 of a fourth, or 1/8, away from 2. Therefore, Point M is the correct answer.
it took 4 hours to clean 10 houses, how many houses could be cleaned in 8 hours?
Answer:
3 1/2 houses
Step-by-step explanation:
To find the unit rate we must divide 4 by 10
4 hours divided by 10 house = 1/4
1/4 houses per hour
8 hours times 0.4= 3.2 houses
Answer:
20 houses
Step-by-step explanation:
Let’s make a proportion using this setup:
houses/hours=houses/hour
We know that 10 houses can be cleaned in 4 hours. We don’t know how many houses can be cleaned in 8 hours, so we can say x houses can be cleaned in 8 hours.
10 houses/4 hours= x houses/8 hours
10/4=x/8
Now we have to solve for x, by getting x by itself. Perform the opposite of what is being done to both sides.
x is being divided by 8. The opposite of division is multiplication, so multiply both sides by 8
8(10/4)=(x/8)8
8(10/4)=x
8(2.5)=x
20=x
20 houses can be cleaned in 8 hours.
PLEASE HELP?
Which of the following inequalities is true according to the number line?
Answer:
a
Step-by-step explanation:
The graph for the equation y = negative x + 2
On a coordinate plane, a line with positive slope goes through (0, 2) and (2, 0).
If another equation is graphed so that the system has an infinite number of solutions, which equation could that be?
A) y = negative 2 (x minus 1)
B) y = negative (x + 2)
C) y = negative one-fourth (4 x minus 8)
D) y = negative one-half (x + 4)
Answer:
It Is The 3rd Choice, Y = -1/4( 4x - 8)
Step-by-step explanation:
This Is Becuase -1/4 times 4x is -1x which is negative x. Then -1/4 times -8 is 2.
Do not listen to the answer below it is wrong.
Answer:
C
Step-by-step explanation:
I got it right on edge
a marble is drawn at random from a bag which contains nine yellow marbles and six white marbles . Find the probability of white marble?
Answer:
2/5
Step-by-step explanation:
Looking at Morningstar’s Financial Health ratios, what has happened to HP’s liquidity position over the past 10 years?
Liquidity/Financial Health
2010-10
2011-10
2012-10
2013-10
2014-10
2015-10
2016-10
2017-10
2018-10
2019-10
Latest Qtr
Current Ratio
1.10
1.01
1.09
1.11
1.15
1.23
0.98
1.00
0.85
0.80
0.73
Quick Ratio
0.78
0.58
0.79
0.80
0.83
0.92
0.69
0.68
0.55
0.53
0.48
Financial Leverage
3.07
3.35
4.85
3.88
3.86
3.85
—
—
—
—
—
Debt/Equity
0.38
0.58
0.97
0.60
0.60
0.78
—
—
—
—
—
Answer:
Step-by-step explanation:
Huh lol ok
Find the range, mean, media and mode for 75,60,75,100,75,75,75,95,60,65
Answer:
Range: 40
Mean: 75.5
Median (a.k.a. media): 75
Mode: 75
Step-by-step explanation:
1) Put the numbers in order
60 , 60 , 65 , 75 , 75 , 75 , 75 , 75 , 95 , 100
2) Find the range
To find the range, you subtract the largest number from the smallest number. In this case, it those are 100 and 60 respectively.
100-60 = 40 which means the range is 40.
3) Find the mean
To find the mean, you add all the numbers together and then divide that by the number of numbers. So...
60 + 60 + 65 + 75 + 75 + 75 +75 + 75 + 95 + 100 = 755
755/10 = 75.5
*You divide by 10 because there are 10 numbers*
That means your mean in 75.5.
4) Find the median (a.k.a. media)
To find the median, you must find the number that is in the middle when the numbers are in order.
In this case, we have two numbers in the middle 75 and 75. To find the median we must add these two numbers together and then divide by 2.
75 + 75 = 150
150/2 = 75
That means the median is 75.
5) Find the mode.
To find the mode, you must find the number(s) that appear the most. In this case, that would be 75 as it appears five times in this number set.
That means the mode is 75.
I hope this helps!