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Andru [333]
3 years ago
7

The sum of two consecutive odd integers is 236 what is the smaller integer

Mathematics
1 answer:
poizon [28]3 years ago
3 0
The correct answer is 117

x + y = 236
y = x + 2
x + x + 2 = 236
2x = 236 - 2
2x = 234
x = 234/2
x = 117

y = 117 + 2
y =119

Both are odd integers and 117 is smaller.
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5x - 47< 3(12x - 108) – 2​
TEA [102]

Answer:

9 < x

Step-by-step explanation:

5x - 47< 3(12x - 108) – 2​

Distribute

5x - 47< 36x - 324 – 2​

Combine like terms

5x - 47< 36x-326

Subtract 5x from each side

5x-5x - 47< 36x-5x-326

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Add 326 to each side

326 - 47< 31x-326+326

279 < 31x

Divide by 31 on each side

279/31 < 31x/31

9 < x

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Answer:

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Step-by-step explanation:

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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.

4 0
1 year ago
What’s the answer????
hodyreva [135]

Answer:

g

Step-by-step explanation:

42 cups in to pints is 21 so g

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Answer

Step-by-step explanation:

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