Porportion equation and solution: a punch recipe calls for 3 liters of ginger ale and 1.5 liters of tropical fruit juice how many quarts of punch will the recipe make (1 Liter = 1.6 quarts)
Answer:
The recipe will make 7.2 quarts of punch.
Step-by-step explanation:
A punch recipe calls for 3 liters of ginger ale and 1.5 liters of tropical fruit juice.
Then the recipe will make 4.5 liters of punch, obtained by the sum of ginger ale and tropical fruit juice.
The ration is the comparison of two quantities and is measured from the division of two values, then: [tex]\frac{a}{b}[/tex].
The proportion is the equality between two or more ratios. That is, [tex]\frac{a}{b}=\frac{c}{d}[/tex] equals a proportion.
In this case, being 1 L= 1.6 quarts, you have:
[tex]\frac{1.6 quarts}{1 L}=\frac{x}{4.5 L}[/tex]
Solving:
[tex]x=4.5 L*\frac{1.6 quarts}{1 L}[/tex]
x= 7.2 quarts
So, the recipe will make 7.2 quarts of punch.
please soon aaaaaaaaaaaaaaaaaaaaaaa
Answer:
3
Step-by-step explanation:
Can someone help me with this problem
Answer:
33
Step-by-step explanation:
well we know you have a right angle and a right angle is equivalent to 90 degrees and you also have angle 57 now we know a triangle is equal to 180 so take 90+57=180 add the 90 and 57 then subtract the anwser from 180
Please solve these for me will give you brainiest please!!
2- y= -5
3- y= 2x
4- y= -4
5- y= 6x,,, 60
6- -4,,,,,,,,, 36
Tina drew a triangle with side lengths 6, 8, and 14. She claims it is a right triangle. Is she correct?
Answer:
No such a triangle can not exist.
A box contains three cards. On one card there is a question mark (Upper Q), on another card there is a pear (Upper P), and on the third card there is a moon (Upper M). Two cards are to be selected at random with replacement. Complete parts (a) through (e) below. a) Determine the number of sample points in the sample space.
Complete question :
Determine the probability that two pears are selected The probability is(Simplity your answer.)
d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected
Answer:
(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;
Step-by-step explanation:
Given :
Marking on card :
Question mark = Q
Pear = P
Moon = M
Selecting two cards with replacement :
Sample space :
_____ Q ____ P _____ M
Q ___QQ ___QP ___ QM
P ___QP ____PP ___ MP
M__ QM ____PM ___MM
(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;
1/9 ;
2/9
P(selecting 2 pears) = (PP)
P(p) = required outcome / Total possible outcomes = 1 / 9
Card containing a pear and then a question mark ;
(PQ or QP).
P(p) = 1/3 ; P(Q) = 1/3
P(PQ) + P(QP)
(1/3 * 1/3) + (/3 * 1/3)
1/9 + 1/9
(1 + 1) / 9
= 2/9
what is the value of 8 3/5 + (-4 2/5) - 11 1/5
Answer:
Its right infront of you.....
1/5
Step-by-step explanation:
The drawing below shows circle B and circle E.Which equation best describes the relationship between BC and EF?
Answer:
BC = 3(EF)
Step-by-step explanation:
The question stated that AC is 3 times the length of DF.
Answer:
BC = 3(EF)
Step-by-step explanation:
Remember that AC is 3 times the length of DF
If the mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3. Then what is the value of 'x'.
Answer:
x = 3
Step-by-step explanation:
Given that,
The mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3.
We need to find the value of x.
We know that, Mode is the number in a data with Max frequency. x can be 3 or 7. If x = 7, mode becomes 7 and if x = 3, mode equals 3.
Hence, the value of x is equal to 3.
Write your answer in simplest form 11/12- 3/4
Answer: 1/6 is its simplest form :)
What is %6 tax added to $26?
A tax of 7.5 percent was added to the product to make it equal to 27.95.
The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance
Answer:
There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
Step-by-step explanation:
Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78
Using calculator :
Sample mean, xbar = 79.06
Sample standard deviation = 9.85
Sample size, n = 17
H0 : μ = 77
H1 : μ > 77
The test statistic : (xbar - μ) ÷ (s / sqrt(n))
(79.06 - 77) ÷ (9.85 / sqrt(17))
2.06 ÷ (9.85 / sqrt(17))
= 0.8623
The Pvalue from Tscore :
Pvalue = 0.20063
Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
Evaluate 2m if
m = 7.2
Sarah competes in a long jump competition.
Her first jump is 4.25 m.
I
Her best jump is 12% more than this.
However, her best jump is 15% lower than the winning jump.
Work out the length of the winning jump.
Answer:
4.046 m
Step-by-step explanation:
240g in the ratio 5:3:2
Answer:
120:72:48
Step-by-step explanation:
Remark
Whatever the answer is (call it x to begin with), the equation starts as
5x + 3x + 2x = 240
What this means is that when you solve for x the results when multiplied by the ratio, should add to 240
Equation
5x + 3x + 2x = 240
Solution
Combine all the terms on the left.
10x = 240 Divide by 10
x = 240/10
x = 24
Check
5*24 = 1203*24 = 722*24 = 48Total = 240Can someone please help me please I really need help
Answer:
16 cans
Step-by-step explanation:
Hey,
I have to admit, this problem is pretty complicated. But I got you :).
To begin, we have to represent the small and large boxes with two separate variables. So...
y = large
x = small
(It really doesn't matter what variable you use, I just used these)
Now, we know that Estelle fills 3 large boxes and 5 small boxes and had a total of 170 cans in total. We can represent this by writing...
3y + 5x = 170
Then, we know that the boy worker filled 4 large boxes and 4 small boxes and had a total of 184 cans. We can represent this by writing...
4y + 4x = 184
As you can see, this is a system of equations.
3y + 5x = 170
4y + 4x = 184
We want to know how many cans each small box can hold, so we have to find a common number for x since x represents the small box.
To do this, we have to multiply the first equation by 4 and the second by 3. Here's what I mean...
4 (3y + 5x = 170)
3 (4y + 4x = 184)
When we do this you get...
12y + 20x = 680
12y + 12x = 552
Notice how the y's are now both 12. We had to do that in order to get rid of y, they had to equal the same number. Now, subtract...
8x = 128
Divide by 8...
x = 16
That means that...
YOUR ANSWER: Each small box can hold up to 16 cans.
I hope this helps :)
What is the least common multiple of 3,4 and 6?
Answer:
12
Step-by-step explanation:
Write down multiples of each number:
3, 6, 9, 12 . . .
4, 8, 12 . . .
6, 12 . . .
The first one they all have is the LCM.
Answer:
12
Step-by-step explanation:
Think of it this way. Simplifying 3, 4 and 6 into their simplest factors:
[tex]3=3[/tex]
[tex]4=2*2[/tex]
[tex]6=3*2[/tex]
6 is a multiple of both 3 and 2, which are both represented by the factors of 3 and 4. Thus, as it is doubled in these, it is not necessary to find the lowest common multiple of the numbers.
Now the LCM can be multiplied with the factors of the remaining numbers:
LCM[tex]=3*2*2[/tex]
Notice the first two numbers equal 6, the second and third equal 4, and the first only equals 3. This means the three numbers are represented in the LCM.
[tex]3*2*2=24[/tex]
And that is the LCM, so we are done. QED
15 PT PLZ PLZ PLZ PLZ PLZ HELPPPPPPPPPPPPPPPPPP
Answer:
The total distance the students ran in the race would be 5 1/2 km.
Step-by-step explanation:
1/4 + 1/4 = 2/4 3/41 1/4 + 1 1/4 = 2 2/4 1 3/42/4 + 3/4 + 2 2/4 + 1 3/4 = 3 10/4 = 5 2/4 = 5 1/2 (Simplified)
6th grade math help me pleaseeee
Answer:
Meryann brought 6 friends to the party
Step-by-step explanation:
y=9x+24
24 is your constant because the cost for all the pizza won't change
9x will change, so x represents the number of friends she brought
and y will be 78 because it's the total amount of money
78=9x+24
all you have to do is solve this equation
54=9x
x=6
Answer:
Meryann had 6 friends at the party.
Step-by-step explanation:
Total cost = $78
Pizza cost = $24
1 Movie Ticket = $9
Movie Tickets = Total Cost - Pizza Cost
Movie Tickets = $78 - $24 = $54
No. of Friends = Movie Tickets ÷ Movie Ticket
No. of Friends = $54 ÷ $9 = 6
No. of Friends = 6
Complete the remainder of the table for the given function rule: y = 2x + 4
Answer:
eight.
Step-by-step explanation:
2(6) ÷ 3
12÷3
4+4
8
help☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️☝️
Answer:
40 + 25 = 65
49 + 63 = 112
63 + 15 = 78
7×16 =112
26 × 3 =78
5×13=65
so the answer is
40 + 25 -------- 5 × 13
49 + 63 -------- 7 × 16
63 + 15 --------- 26 × 3
i hope this help you
Need help please. Thanks!
Answer:
Option 1: 4h
Step-by-step explanation:
perimeter of square = 4 × length
h × 4 = 4h
Is Y +7 = 5X a linear function
The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis.
Which of the following is the best interpretation of the coefficient of determination r2?
About 37% of the variation in arm span is accounted for by the linear relationship formed with the foot length.
About 65% of the variation in foot length is accounted for by the linear relationship formed with the arm span.
About 63% of the variation in arm span is accounted for by the linear relationship formed with the foot length.
About 63% of the variation in foot length is accounted for by the linear relationship formed with the arm span.
Answer:
The guy above me is completely wrong hahaha.
The correct answer should have a 63%.
It's probably D. The terminology is a little confusing.
The equation of the output looks like:
-7.611 + .186(x) = y
x --> Arm span
y --> Foot span
The linear relationship is formed with the armspan.
Answer: It’s D
Step-by-step explanation:
I took the test
The algebra question is in the image
Answer:
B
Step-by-step explanation:
A or constant is the answer
Please please help help me please ASAP with one question
No links or files
Answer:
D
Step-by-step explanation:
A and C are what we've always been taught so it's not them. B is just side time side so with a square that works. D is the only one what I'm not sure of or doesn't seem familiar. So personally I'd say D. Good luck!
Answer:
D
explanation
a finds area of rectangle
b area of square
c of rhombus
PLEASE HELP ILL GIVE BRAINLIEST
WHATS THE PERCENT CHANGE SHOW WORK
Answer:
34.55556%
Step-by-step explanation:
how do you solve for the x ?
Answer:
x = -8
Step-by-step explanation:
these angles are vertical, therefore they are equal
x + 78 = 70
x = -8
Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
What is m∠U?
A. 17
B. 29
C. 46
D. 134
Answer:
D.46
Step-by-step explanation:
180-46-29= 105
angle V, 46 degree, and T= equal 180
105= V
t= 29
v+t+u= must equal 180 because all triangle equal 180 degrees
105+29+u=180
u=-105-29+180
u=46
The area of a rectangle
is 100 square feet. If the
width is 25 feet. What is the
Length?