Please help me its very serious & i need an answer

Mathematics

2 answers:

erastovalidia [21]2 years ago

8 0

The answer is 1 sorry if you don't need it anymore

Ipatiy [6.2K]2 years ago

6 0

Answer:

Step-by-step explanation:

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Milo wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice mixt

Vanyuwa [196]

Answer:

1.5gal

Step-by-step explanation:

From the given information:

50% lemon juice + 50% lime juice is the intended mixture.

Therefore, to find quantity that would be added to 20% lemon juice and 80% lime juice, let's assume this to be x.

x of 100% and 4-x gallons of the existing 20% mix

100%x + 20%(4-x) = 50%(4)

1.00x + 0.2(4-x) = 0.5(4)

1.00x + 0.8-0.2x = 2

1.00x-0.2x = 2-0.8

0.8x = 1.2

× = 1.5gal.

3 0

4 years ago

Read 2 more answers

I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t

belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

$\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}$

Where

$\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}$

Thus,

$\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}$

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

$\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}$

Thus, from the theorem of similar triangles,

$\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}$

solving for y, we have

$\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}$

thus, YC = 10.