1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dahasolnce [82]
3 years ago
7

The senior class plans a school trip to Washington DC. Students should bring money for meals and

Mathematics
1 answer:
timofeeve [1]3 years ago
8 0

Answer:

$65 ≤ x ≤ $135

Step-by-step explanation:

Now, one should know the meaning of compound inequality. A compound inequality is an inequality that simply combines the two simple inequalities.

Now, in an inequality, three relations are performed, equal to, less than, and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to the situation given.

Notice that in the given sign

≤

the value on the left side of the pointed side will be small or lesser than the value on the right side. Also notify that if inverted, like this ≥

The value of the left side will be greater. This means the value at the pointed side will always be smaller. The lower bar is a sign of equal to

if this is written

x ≤ 3

It means that x can be equal to three or any value less than 3 means 2,1,0,-1, etc.

Now in the question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Let's assume 'x' as the amount required,

So one inequality is

$65 ≤ x

The second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is

x ≤ $135

Remember that we use AND in the answer because both statements of inequality need to be fulfilled or satisfied.

You might be interested in
P(x) = x + 1x² – 34x + 343<br> d(x)= x + 9
Feliz [49]

Answer:

x=\frac{9}{d-1},\:P=\frac{-297d+378}{\left(d-1\right)^2}+343

Step-by-step explanation:

Let us start by isolating x for dx = x + 9.

dx - x = x + 9 - x > dx - x = 9.

Factor out the common term of x > x(d - 1) = 9.

Now divide both sides by d - 1 > \frac{x\left(d-1\right)}{d-1}=\frac{9}{d-1};\quad \:d\ne \:1. Go ahead and simplify.

x=\frac{9}{d-1};\quad \:d\ne \:1.

Now, \mathrm{For\:}P=x+1x^2-34x+343, \mathrm{Subsititute\:}x=\frac{9}{d-1}.

P=\frac{9}{d-1}+1\cdot \left(\frac{9}{d-1}\right)^2-34\cdot \frac{9}{d-1}+343.

Group the like terms... 1\cdot \left(\frac{9}{d-1}\right)^2+\frac{9}{d-1}-34\cdot \frac{9}{d-1}+343.

\mathrm{Add\:similar\:elements:}\:\frac{9}{d-1}-34\cdot \frac{9}{d-1}=-33\cdot \frac{9}{d-1} > 1\cdot \left(\frac{9}{d-1}\right)^2-33\cdot \frac{9}{d-1}+343.

Now for 1\cdot \left(\frac{9}{d-1}\right)^2 > \mathrm{Apply\:exponent\:rule}: \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c} > \frac{9^2}{\left(d-1\right)^2} = 1\cdot \frac{9^2}{\left(d-1\right)^2}.

\mathrm{Multiply:}\:1\cdot \frac{9^2}{\left(d-1\right)^2}=\frac{9^2}{\left(d-1\right)^2}.

Now for 33\cdot \frac{9}{d-1} > \mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} > \frac{9\cdot \:33}{d-1} > \frac{297}{d-1}.

Thus we then get \frac{9^2}{\left(d-1\right)^2}-\frac{297}{d-1}+343.

Now we want to combine fractions. \frac{9^2}{\left(d-1\right)^2}-\frac{297}{d-1}.

\mathrm{Compute\:an\:expression\:comprised\:of\:factors\:that\:appear\:either\:in\:}\left(d-1\right)^2\mathrm{\:or\:}d-1 > This\: is \:the\:LCM > \left(d-1\right)^2

\mathrm{For}\:\frac{297}{d-1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:d-1 > \frac{297}{d-1}=\frac{297\left(d-1\right)}{\left(d-1\right)\left(d-1\right)}=\frac{297\left(d-1\right)}{\left(d-1\right)^2}

\frac{9^2}{\left(d-1\right)^2}-\frac{297\left(d-1\right)}{\left(d-1\right)^2} > \mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}> \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

\frac{9^2-297\left(d-1\right)}{\left(d-1\right)^2} > 9^2=81 > \frac{81-297\left(d-1\right)}{\left(d-1\right)^2}.

Expand 81-297\left(d-1\right) > -297\left(d-1\right) > \mathrm{Apply\:the\:distributive\:law}: \:a\left(b-c\right)=ab-ac.

-297d-\left(-297\right)\cdot \:1 > \mathrm{Apply\:minus-plus\:rules} > -\left(-a\right)=a > -297d+297\cdot \:1.

\mathrm{Multiply\:the\:numbers:}\:297\cdot \:1=297 > -297d+297 > 81-297d+297 > \mathrm{Add\:the\:numbers:}\:81+297=378 > -297d+378 > \frac{-297d+378}{\left(d-1\right)^2}

Therefore P=\frac{-297d+378}{\left(d-1\right)^2}+343.

Hope this helps!

5 0
4 years ago
Which pairs of angles are vertical angles?
adoni [48]
F,e and h,i are vertical angles i think.
8 0
3 years ago
Read 2 more answers
48 = 3/2y <br> simplify your answer as much as possible
Sloan [31]
48 = 1\frac{1}{2}y \\48(\frac{2}{3}) = 1\frac{1}{2}y(\frac{2}{3}) \\32 = y
4 0
3 years ago
Which of the following is the same as 58%?​
Alecsey [184]

Answer:

58%=0.58

Step-by-step explanation:

6 0
3 years ago
Please I need help on all of them but it’s okay if you only do a couple but if you do them all I with list you as brainlist I pr
rodikova [14]

Answer:bruh

Step-by-step explanation:

5.00 is the first answer is the biggest number then 4.80 and 1.40 If your doing biggest to smallest but hey f not turn it the other way

4 0
3 years ago
Other questions:
  • ∠A and \angle B∠B are vertical angles. If m\angle A=(3x+3)^{\circ}∠A=(3x+3) ∘ and m\angle B=(4x-8)^{\circ}∠B=(4x−8) ∘ , then fin
    10·1 answer
  • A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics
    13·1 answer
  • Someone please help! I’m very confused on this :(
    7·1 answer
  • describe the steps you would follow to write a two step equation you can use to solve a real world problem
    6·1 answer
  • William is 3 years older than charmine the sum of 3 times charmines age and 2 times williams age is 76 how old are william and c
    15·1 answer
  • Solve: 3x - 1 = 8(x + 1) + 1
    11·1 answer
  • What value of x makes this equation true?
    8·2 answers
  • Is 23 a prime number
    10·1 answer
  • What is the value of 55−−√ to the nearest tenth? Show or explain how you got your answer.
    8·1 answer
  • Find the X and Y intercepts and graph the line. Your X and Y must be written as a point. show work plz asap help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!