Mathematics, 27.09.2019 12:30 lovelyheart5337

Lila collected the honey from 3 of her beehives. from the first hive she collected 2/3 gallon of honey. the last two hives yielded 1/4 gallon each.
a. how many gallons of honey did lila collect in all? draw a diagram to support your answer.
b. after using some of the honey she collected for baking, lila found that she only had 3/4 gallon of honey left. how much honey did she use for baking? support your answer using a diagram, numbers, and words.
c. with the remaining 3/4 gallon of honey, lila decided to bake some loaves of bread and several batches of cookies for her school bake sale. the bread needed 1/6 gallon of honey and the cookies needed 1/4 gallon. how much honey was left over? support your answer using a diagram, numbers, and words.
d. lila decided to make more baked goods for the bake sale. she used 1/8 lb less flour to make bread than to make cookies. she used 1/4 lb more flour to make cookies than to make brownies. if she used 1/2 lb of flour to make the bread, how much flour did she use to make the brownies? explain your answer using a diagram, numbers, and words.

Answers: 3

Show answers

Answers

Answer from: 1232444553

a). Lila collected 7/6 gallon in all.

b). She used for baking 5/12 gallon.

c) was left 1/3 gallon of honey

D) She used 3/8lb flour to make the brownies.

Step-by-step explanation:

a). Lila collected 7/6 gallon in all.

$\frac{2}{3} +\frac{1}{4} +\frac{1}{4} \\$

LCM=3*4=12

$\frac{8+3+3}{12}=14/12=7/6$

b). She used for baking 5/12 gallon.

She had 7/6 gallon of honey. She used 3/4 gallon for baking. To know how much honey was left, you have to substract 3/4 gallon from the total available honey 7/6 gallon.

$\frac{7}{6}-\frac{3}{4}$

You need to find LCM to substract fractions with different denominator:

LCM=12

$\frac{14-9}{12}=\frac{5}{12}$

c) was left 1/3 gallon of honey

To know how much honey was left you need to substract from the initial quantity of honey that is 3/4 gallon, the quantities used for baking, that are 1/6 gallon and 1/4 gallon.

Less common multiple: 12

$\frac{3}{4}-\frac{1}{6} -\frac{1}{4}$

We use LCM 12 to substract:

$\frac{9-2-3}{12}=\frac{4}{12} =\frac{1}{3}$

D) She used 3/8lb flour to make the brownies.

You know she used 1/2 lb flour to make the bread and to make cookies 1/8 more. So you need to do following math:

d) $\frac{1}{2} +\frac{1}{8} =\frac{4+1}{8} =\frac{5}{8}$

She used 5/8 to make cookies and she used 1/4 more to make cookies than brownies, then you have to do following math;

$\frac{5}{8}-\frac{1}{4}=\frac{5-2}{8}=\frac{3}{8}$

Lila collected the honey from 3 of her beehives. from the first hive she collected 2/3 gallon of hon

Answer from: hebrew1148

The total amount of honey in gallons did Lila collect is 7/6 gallons, the amount of honey in gallons she uses for baking is 5/12 gallons, the honey left after baking some loaves of bread and several batches of cookies is 1/3 gallons, and 3/8 lb of flour she uses to make the brownies.

Given :

Lila collected the honey from 3 of her beehives.From the first hive, she collected 2/3 gallons of honey.The last two hives yielded 1/4 gallons each.

A) Total amount of honey in gallons did Lila collect in all:

$=\dfrac{2}{3}+2\times \dfrac{1}{4}$

$\rm =\dfrac{7}{6}\;gallons$

B) The amount of honey in gallons she uses for baking will be:

$= \dfrac{7}{6}-\dfrac{3}{4}$

$\rm =\dfrac{14-9}{12}=\dfrac{5}{12}\; gallons$

C) The honey left after baking some loaves of bread and several batches of cookies will be:

$=\dfrac{3}{4}-\dfrac{1}{6}-\dfrac{1}{4}$

$\rm =\dfrac{1}{3}\; gallons$

D) Lila used 1/2 lb flour to make the bread and to make cookies 1/8 more.

$\dfrac{1}{2}+\dfrac{1}{8}=\dfrac{5}{8}$

Lila used 5/8 to make cookies and she used 1/4 more to make cookies than brownies.

$\dfrac{5}{8}-\dfrac{1}{4}=\dfrac{3}{8}$

3/8 lb flour she use to make the brownies.

For more information, refer to the link given below:

link

Answer from: Quest

Yes. there is a constant ratio of number of calories to gram of protein.12/3=24/4=32/8=44/11=4

Answer from: Quest

25/6 hope it : )

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Which rational number could be graphed between -4 and -5

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Answers: 3

Answer

Mathematics, 21.06.2019 23:00

What is the sum of the first 8 terms of the geometric series

Answers: 3

Answer

Mathematics, 22.06.2019 01:00

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)

Answers: 3

Answer

You know the right answer?

Lila collected the honey from 3 of her beehives. from the first hive she collected 2/3 gallon of hon...

Questions