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2 years ago

Solve the inequality for x 2x+5<5x-4

Mathematics

2 answers:

riadik2000 [5.3K]2 years ago

6 0

Answer:

2x + 5 < 5x - 4

5 + 4 < 5x -2x

9 < 3x

3 < x

Helen [10]2 years ago

5 0

Answer:

x is greater than 3

Step-by-step explanation:

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There are 325 children at a zoo. If 64% of the children are boys and the rest are girls how many children at the zoo are girls

natita [175]

kids at zoo, k = 325

percentage boys, b = 64%

percentage girls, g = 100 - b = 36%

number of girls = 325 × 36% = 117

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2 years ago

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2 years ago

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

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6 months ago

An automated assembly line produces 840 units per hour. At the same production rate, how many units could be produced in 45

WARRIOR [948]

Answer:

The 630

Step-by-step explanation:

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2 years ago

Adding negative numbers<br> 5+ (-4) =

anygoal [31]

Answer:

Step-by-step explanation:

Follow the signs rule:

IF:

There is a + sign, and the number directly next is +, add

There is a + sign, and the number directly next is -, subtract

There is a - sign, and the number directly next is +, subtract

There is a - sign, and the number directly next is -, add

In this case, there is a plus sign, and a negative sign, therefore, subtract:

5 + (-4) = 5 - 4 = 1

1 is your answer.

5 0

2 years ago