To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume. How many millilitres of water should she add to make 637 mL of lemonade?

Answers

Answer 1

Answer:

546 mL of water

Step-by-step explanation:

To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.

Let the amount of water is 6x and that of lemon juice is x.

ATQ,

6x+x = 637

7x = 637

x = 91

Amount of lemon juice = 91 mL

Amount of water = 6x = 6(91) = 546 mL

So, 546 mL of water she should add to make 637 mL of lemonade.


Related Questions

Which of the following is equivalent to logb sqrt 57/74

Answers

Answer:

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to  [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].

Hence, option 'c' is true.

Step-by-step explanation:

Given the expression

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]

Rewrite as

[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]

[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex]     ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]

Therefore,

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to  [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].

Hence, option 'c' is true.

pls help quickly thank you

Answers

Answer: $637

Step-by-step explanation:

Can someone help pls

Answers

See the attchment because if i typed it, it would be confusing
[tex] \frac{6}{12} = \frac{1}{2} [/tex][tex]\frac{24}{30} = \frac{4}{5} [/tex][tex] \frac{9}{36} = \frac{1}{4} [/tex][tex] \frac{15}{24} = \frac{5}{8} [/tex][tex] \frac{9}{18} = \frac{1}{2} [/tex][tex] \frac{12}{9} = \frac{4}{3} [/tex][tex] \frac{5}{10} = \frac{1}{2} [/tex][tex] \frac{24}{32} = \frac{3}{4} [/tex][tex] \frac{10}{35} = \frac{2}{7} [/tex][tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex][tex] \frac{8}{32} = \frac{1}{4} [/tex][tex] \frac{18}{14} = \frac{9}{7} [/tex][tex] \frac{2}{6} = \frac{1}{3} [/tex][tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex][tex] \frac{24}{9} = \frac{8}{3} [/tex][tex] \frac{7}{28} = \frac{1}{4} [/tex][tex] \frac{6}{21} = \frac{2}{7} [/tex]

what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?

Answers

Answer:

The complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Step-by-step explanation:

Considering the function

[tex]f(x)=-8x+13[/tex]

As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.

Now

As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).

Putting x = -2 in f(x) to determine the range for the value x = -2

[tex]f(x)=-8x+13[/tex]

[tex]f(-2)=-8(-2)+13=16+13=39[/tex]

Putting x = 0 in f(x) determine the range for  the value x = 0

[tex]f(x)=-8x+13[/tex]

[tex]f(0)=-8(0)+13=0+13=13[/tex]

Putting x = 0 in f(x) determine the range for the value x = 3

[tex]f(x)=-8x+13[/tex]

[tex]f(3)=-8(3)+13=-24+13=11[/tex]

Therefore, the complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Solve for x.
x/3+y=2x+19

Answers

Answer:

The answer is [attached photo].

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

(3+y)-19=x

Step-by-step explanation:

x/3+y=2x+19

=3+y=2x-x+19

(3+y)-19=x

the slope of the line that goes through the points (2,4) and (7,8)

Answers

what is the question, or give us more information. Thank u!

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

Answer:

The answer is B.

Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.

Answers

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

Answer:

easy

Step-by-step explanation:

PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

Round your answers to the nearest cent. And thank you if you answer this I really need the answer.

Answers

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

solve each system using elimination


8x+lly = 20 5x - 11y = -59​

Answers

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether?

Answers

Answer:

Step-by-step explanation:

2+3.25=5.25 or 5 1/4 cups of flour total

What is the missing angle?

Answers

Answer:

the answer is 95

Step-by-step explanation:

[tex]180 - 50 - 35 = 95[/tex]

Answer:

105 degrees

Step-by-step explanation:

A traingle has a total of 180 degrees. The graph already tells us 2 angles, 25 and 50 degrees. So: 25+50=75

180-75=105

what does x = ? need help with the pythagorean theorem

Answers

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

As an estimation we are told 5 miles is 8 km. 
Convert 60 km to miles.​

Answers

Answer:

37.5 miles

Step-by-step explanation:

We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.

[tex]60/1.6=37.5[/tex]

Hope this helped!

Answer:

96 km

Step-by-step explanation:

I try it its 96 km

Trust me

A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.

Find the volume.

Answers

I think it’s eight... right?

6.3232 or 6.3202 is grater?

Answers

Answer:

6.3232 is greater

Step-by-step explanation:

Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?

Answers

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

48 = -6a, a =
pls help hfjdjf

Answers

Answer:

a=-8

Step-by-step explanation:

A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect

Answers

Answer:

A quadratic equation for the height of an object is written as:

h(t) = a*t^2 + b*t + c

We can derivate it with respect to the time to get the velocity:

v(t) = 2*a*t + b

We can derivate it with respect to the time to get the acceleration:

a(t) = 2*a

Then:

a = half of the acceleration. (the gravitational acceleration for problems like this)

b = initial vertical velocity.

c = initial height.

In our case we have:

h(t) = -16t^2 + 44t + 3.5

-16 is half of the acceleration, we know that the gravitational acceleration is:

g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.

44 is the initial vertical velocity of the ball  (44ft/s)

3.5 is the initial height. (3.5ft)

Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity

Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next

Answers

Answer:

The answer is C. 2 pounds

Step-by-step explanation:

Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.

This is for the ones on Plato

A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?

Answers

Answer:

(a) Index finger

(b) Ring finger

(c) Index finger

Step-by-step explanation:

Taking thumb as standard for the question.

Thumb series 1 , 9 , 17 ,25, 33......

general term for this

a(n) = 1 + (n-1)8

      = 1 + 8n -8

       = 8n -7

(a) For 1 to 10

     8n -7 = 10

     8n = 16+1 (remainder)

so the thumb is for 9 and the next is index finger.

10th = index finger.

(b) for 1 to 100

    8n - 7 = 100

      8n= 107

     107 = 13x 8 + 3(remainder)

so the third finger from thumb is Ring finger

100th = Ring finger

(c) 8n - 7 = 1000

   8n = 1007      

 1007= 125x8 +7 (remainder)

so the 7th finger next to thumb is Index finger

1000th = index finger

Your payment is $350 per month for 48 months and you made a 3,000 down payment?

Answers

Answer:

Your total cost would be $19800

Step-by-step explanation:

350*48

=16800

+3000

=19800

gordon types 1800 words in 25 minutes. word per minute

Answers

Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

what is 2 1/9 x 1 1/2

Answers

Answer:

3.16

Step-by-step explanation:

Hope this helps!

Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help

Answers

Answer:

Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.

Step-by-step explanation:

Hope this helps!

Answer:

Yes you are correct. It would be one.

Step-by-step explanation:

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.

Answers

Answer:

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

*  A right angle measures 90°.

If two angles are complementary, the sum of the angles is 90°.

* If two angles are supplementary, the sum of the angles is 180°.

A complementary angle is one-half the measure of a supplementary angle.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

(A) and (C)

A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

Angles

An angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.

To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

Find out more on Angles at: https://brainly.com/question/25770607

At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?

Answers

Answer:

15

Step-by-step explanation:

3 counselors for every 20 girls

Answer:

15 counselors

Step-by-step explanation:

The ratio of counselors to girls is 6:40. Set this as a proportion:

[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]

Cross multiply to solve: 6×100=40x

600=40x

x=15

To satisfy the ratio, there needs to be 15 counselors for 100 girls.

what is the value of the expression below when z=4
10z=3

Answers

Is there anything else other than this?

Answer:

37

Step-by-step explanation:

10z=3 and z=4

substitute

10(4)-3

simplify

40-3

answer

37

please help! i only got 9 minutes left!!

Answers

Answer:

D) -5/2

Step-by-step explanation:

(0, 5) (8, -15)

-15 - 5 = -20

8 - 0 = 8

-20/8 = -5/2

i need the answer for this question

Answers

Answer:

x=5

y=7

(5,7)

Step-by-step explanation:

solved by substitution.

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