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koban [17]
4 years ago
5

Please help me with this

Mathematics
1 answer:
Llana [10]4 years ago
3 0
4 unknowns needs 4 equations. I'll call the unknown numbers a,b,c,d in that order left to right.

4 + a = b
a + b = c
b + c = d
c + d = 67

let's use substitution to get rid to combine equations and get rid of variables.
If a + b = c then a = c - b
4 + (c - b) = b
4 + c = 2b

If b + c = d then b = d - c
4 + c = 2(d - c)
4 + c = 2d - 2c
4 + 3c = 2d

then we have c + d = 67 so c = 67 - d

4 + 3(67 - d) = 2d
4 + 201 - 3d = 2d
205 = 5d
d = 41

Should be easy now, subtract backwards.

67 - 41 = 26
41 - 26 = 15
26 - 15 = 11
15 - 11 = 4

4, 11, 15, 26, 41, 67


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3 0
4 years ago
What equation results when you cross - multiply 17/d = 51/21
nekit [7.7K]

Answer:

 51d=357\\\\d=\frac{357}{51} \\\\d=7

Step-by-step explanation:

A proportion is an equation that defines that two ratios are equal.  When the terms of a proportion are cross multiplied, the cross products are equal.  Cross multiplication is the multiplication of the numerator of the first ratio by the denominator of the second ratio and the multiplication of the denominator of the first ratio by the numerator of the second ratio:

\frac{a}{b} =\frac{c}{d} \rightarrow ad=bc

Therefore:

\frac{17}{d} =\frac{51}{21} \\\\17*21=d*51\\\\357=51d\\\\Solving\hspace{3} for\hspace{3} d\\\\d=\frac{357}{51} \\\\d=7

6 0
3 years ago
The inequality 9/5C + 32 <-40 can be used to find Celsius temperatures that are less than -40 Fahrenheit. What is the solutio
Blababa [14]

The solution of inequality is C < -40

<em><u>Solution:</u></em>

Given that the inequality that is used to find the celsius temperature that are less than -40 fahrenheit

To find: solution of inequality

<em><u>Given inequality is:</u></em>

\frac{9}{5}C + 32 < -40

So we have to solve the above inequality for C

\rightarrow \frac{9}{5}C + 32 < -40

Add -32 on both sides

\rightarrow \frac{9}{5}C + 32 -32 < -40 - 32\\\\\rightarrow \frac{9}{5}C < -72

Multiply both the sides by \frac{5}{9}

\rightarrow\frac{9}{5}C \times \frac{5}{9} < -72 \times \frac{5}{9}\\\\\rightarrow C < -8 \times 5\\\\\rightarrow C < -40

Thus the solution of inequality is C < -40

3 0
4 years ago
Evaluate 2xy when x=30 and y=2
lara31 [8.8K]
Just plug in the values. 
2xy = 
2(30)(2) = 
60(2) = 
120 <--------------------------Answer
6 0
4 years ago
Read 2 more answers
Find two numbers the quotient is between then estimate the quotient.787 ➗2
Andrei [34K]

Well the real answer is three hundred-ninety three point five. So numbers around it could be three hundred and fifty and four hundred. An estimate could be three hundred and seventy five.
7 0
4 years ago
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