Mathematics, 17.12.2019 18:31 jskskals

Mom wants to make some cakes. mom has two cups of flour but the recipe needs four times as much flour. mom has one-half dozen eggs but the recipe needs three times as many eggs. what is the total amount of flour and eggs mom needs to bake the cakes? what is the total amount of flour and eggs mom has to buy at the store before she can make the cakes?

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Answer from: smeeden

Mom needs 8 sups of flour and 18 eggs to make some cakes according to recipe.

Mom need to buy 6 cups of flour and one dozen of eggs from the store to make some cakes.

Step-by-step explanation:

Given:

Mom has two cups of flour but the recipe needs four times as much flour.

Number of cups of flour mom has = 2 cups

But recipe required 4 time the cup mom has.

Number of Cups of flour recipe required = $4\times 2 =8\ cups$

Also Given:

Mom has one-half dozen eggs but the recipe needs three times as many eggs.

Now we know that 1 dozen =12 eggs

so one and half dozen = 6 eggs

Number of eggs mom has = 6 eggs.

Now recipe requires 3 times number of eggs.

Number of eggs recipe required = $3\times6 =18\ eggs$

We need to find the total amount of eggs and flour mom need to bake the cakes.

Hence Mom needs 8 sups of flour and 18 eggs to make some cakes according to recipe.

Also we need to find total amount of flour and eggs Mom has to buy at the store.

Total amount of flour need to buy from store is equal to Number of Cups of flour recipe required minus Number of cups of flour mom has.

Framing in equation form we get;

Total amount of flour need to buy from store = 8 - 2 = 6 cups.

Total number of eggs need to buy from store is equal to Number of eggs recipe required minus Number of eggs mom has.

Framing in equation form we get;

Total number of eggs need to buy from store = 18 - 6 = 12 eggs.

Hence Mom need to buy 6 cups of flour and one dozen of eggs from the store to make some cakes.

Answer from: Quest

x + 4/7

step-by-step explanation:

use cymath

Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

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