Answer:
Quantity of cranberry juice = 95 ml
Quantity of orange juice = 95 ml
Step-by-step explanation:
Step 1
Given ,
We have 80% cranberry juice and 4% of orange juice.
We have to find how much each should be mixed to make 190 ml of a 60% cranberry-orange juice blend.
Step 2
Let's assume
Quantity of cranberry juice =x ml
Quantity of orange juice =y ml
Then,
x + y = 190
and
x×80100 +y×4100 = 190×60100
⇒ 0.8x+0.4y = 114
⇒ 2x+y = 285
⇒ y = 285−2x
Step 3
Substituting y = 285−2x in x + y = 190
⇒ x+285−2x = 190
⇒ −x = 190−285
⇒ −x = −95
⇒ x = 95 ml
Substituting x = 95 in x + y = 190
⇒ 95 + y = 190
⇒ y = 190−95
⇒ y = 95 ml
So,
Quantity of cranberry juice =95 ml
Quantity of orange juice = 95 ml
A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was recorded. The results were as follows: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Occupants 1 2 3 4 5 Number of Cars 64 19 12 3 2 Find the sample median number of occupants.
Answer:
The sample median number of occupants is 1.
Step-by-step explanation:
Median:
The measure that separates the lower half of the distribution from the upper half.
In this question:
Total of 100 cars.
64 have 1 occupant.
19 have 2 occupants
12 have 3 occupants
3 have 4 occupants
2 have 5 occupants.
Median:
In the cumulative distribution
100/2 = 50
While we count until 64, it has 1 occupant, so 50 is one occupant, which means that the sample median is 1.
The sample median number of occupants is 1.
The scale of floor plan is 1:250. Find the measurements in metres if 40 mm is drown on the plan
Given:
The scale is 1:250.
To find:
The measurements in metres if 40 mm is drown on the plan.
Solution:
The scale is 1:250. It means,
1 mm of the drawing = 250 mm of original length
40 mm of the drawing = 40×250 mm of original length
40 mm of the drawing = 10000 mm of original length
We know that,
1000 mm = 1 m
1 mm = 0.001 m
10000 mm = 10000×0.001 m
10000 mm = 10 m
Therefore, the measurement is 10 metres if 40 mm is drown on the plan.
Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)
9514 1404 393
Answer:
w = -2 or 8 1/3
Step-by-step explanation:
Setting the two expressions equal makes a quadratic equation:
-5 +0.6w = w(2.5 -0.3w)
0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression
3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients
(3w -25)(w +2) = 0 . . . . . . . factor
We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.
3w -25 = 0 ⇒ w = 25/3 = 8 1/3
w +2 = 0 ⇒ w = -2
The values of w that make the two expressions equivalent are -2 and 8 1/3.
help me lol ........................
Answer:
A could be a possible answer actually
The mean length of 9 childrens' big finger is 6.8cm.
The mean length of 3 adults' big finger is 11cm.
What is the mean length (rounded to 2 DP) of these 12 people's big finger?
Answer:
The mean length of these 12 people's big finger is of 7.85 cm.
Step-by-step explanation:
Mean value:
Sum of the values of all observations divided by the number of observations.
In this question:
9 + 3 = 12 total observations
Sum:
[tex]9*6.8 + 3*11 = 94.2[/tex]
So
[tex]M = \frac{94.2}{12} = 7.85[/tex]
The mean length of these 12 people's big finger is of 7.85 cm.
What is the scale factor between 4 cm and 10 cm?
B:10 cm
A:4 cm
Answer: B
Step-by-step explanation:
To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one. The ratio of any two corresponding lengths in two similar. geometric figures. Corresponding Angles: Angles in matching locations of two shapes
The greater number
Is 0.098% greater than 7 1/3
Answer:
the greater number is 7 1/3.
The total cost of 4 starfish was $7.20. Write and solve an equation to find how much one starfish cost.
Answer:
$1.80
Step-by-step explanation:
4x = 7.20
x = 1.80
Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: babes it blurry i cant see .
Step-by-step explanation:
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
30
Step-by-step explanation:
Which statement is true?
A A right triangle always has two acute angles.
B An obtuse triangle always has two obtuse angles.
C An acute triangle always has a right angle.
D A triangle always has an obtuse angle
Answer:
A
Step-by-step explanation:
All triangles have angle measures that must add up to 180
Miles : 3/5
Hours : 1/3
_____ miles in 1 hour
Answer:
9/5 miles in 1 hour
Step-by-step explanation:
As we are finding here the miles distance in 1 hour so we have to use here the formula which is
Rate = Distance / Time
Rate = 3/5 divided by 1/3
SO using third proportion rule we have to change the Numerator of second fraction with denominator and denominator with numerator and division sign will be change into Multiplication so this one will be
3/5 x 3/1
9/5 will be the answer
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
105
Step-by-step explanation:
17.5÷2.5=7
7x15=105
3/5x2/3 Help pls thank you
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} *\frac{2}{3}\\=\frac{3*2}{5*3}[/tex]
The 3 in the numerator and the 3 in the denominator cancel out
[tex]= \frac{2}{5}[/tex]
I hope this helps!
pleasee helpp meeee with this problemmmm
Answer:
C
Step-by-step explanation:
Answer:
I'm going to say B
Step-by-step explanation:
I hope this helps! If right may I please have brainliest? :)
What is the answer plz
Answer:
A = 180m²
Step-by-step explanation:
To find the area of the bottom rectangle subtract the height of the top rectangle. Hope that makes sense if you want a another just ask.
Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are not factors of 42
Answer:
5, 25, 28, 35, 56, 75 80 are not the factors of 42
$4,900 is invested in an account earning 7.9% interest (APR), compounded daily.
Write a function showing the value of the account after t years, where the annual
growth rate can be found from a constant in the function. Round all coefficients in
the function to four decimal places. Also, determine the percentage of growth per
year (APY), to the nearest hundredth of a percent.
do 4.9k divided by 7.9 pie
Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner.
1.Write a system of equations that could be used to solve the problem. Define your variables.
2.Solve by any algebraic method (elimination/substitution). Work must be shown! How many people will choose a salad?
Answer:
3
Step-by-step explanation:
edge
Answer:
C. 3
Explanation:
edge 2020
What is the value of x?
60°
/700
x
0 130
O 110
60
050
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]105km[/tex]
Step-by-step explanation:
It is given that; ([tex]2.5cm : 15km[/tex]) is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many ([tex]km[/tex]) would represent ([tex]17.5cm[/tex]). ([tex]x[/tex]) will represent the unknown or the number of ([tex]km[/tex]) that one has to solve for.
[tex]2.5 : 15 = 17.5 : x[/tex]
Cross products,
[tex]262.5 = 2.5x[/tex]
Inverse operations,
[tex]262.5 = 2.5x\\/2.5\\\\105 = x[/tex]
anybody!? I need help
Answer: D
Step-by-step explanation:
The list below shows all of the possible outcomes for flipping four coins.
Answer:
Each one has two possibilites, so the total is 2*2*2*2 = 16
Step-by-step explanation:
TTTT
TTTH
TTHT
TTHH
THTT
THTH
THHT
THHH
HTTT
HTTH
HTHT
HTHH
HHTT
HHTH
HHHT
HHHH
If you eliminate the duplicates, ie, the coins are identical, you get 4
TTTT
TTTH
TTHH
THHH
HHHH
One-Third The Difference Between 2/3 And 1/2
Answer:
1/18
Step-by-step explanation:
2/3-1/2=1/6
1/3 x 1/6=1/18
What is the number?
Help me
Find the indicated function values
Answer:
f(-4) = 6
f(0) = -6
f(1) = -4
Step-by-step explanation:
The lengths of the sides of a triangle are in the extended ratio 4 : 5 : 8. The perimeter of the triangle is 85 centimeters. Find the length of the shortest side.
Answer:
the answer is 20
Step-by-step explanation:
What’s the value of u , help please
Step-by-step explanation:
u-42+u-43+u-44=180
3u -129 = 180
3u = 309
u = 103
the profits from eds plumbing company increased by 14,460, or 30% this year. what profit did the company esrn last year?
The profit of plumbing company from eds earn last year, 48200
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The profits from eds plumbing company increased by 14,460, or 30% this year
The profit company earned last year = ?
Suppose, last years profit = X
New profit = X + 0.30X = X + 14460
0.30X = 14460
X = 48200
Hence, the last years profit is 48200
To know more about Percentage check:
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Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 56
log 78
log 45
log 98
Answer:log 98
Step-by-step explanation: