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siniylev [52]
3 years ago
7

12x+7<−11 AND5x−8≥4012

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0

Answer:

No solution

Step-by-step explanation:

Given: 12x+7 and  5x-8\geq 40

Solve both inequality separately.

12x+7              Subtraction property of inequality

12x

12x

x

x

and

5x-8\geq 40               Addition property of inequality

5x\geq 40+8

5x\geq 48

x\geq \dfrac{48}{5}

Hence, the solution of the compound inequality intersection of both solutions.

Please find attachment for number line solution.

No solution

Law Incorporation [45]3 years ago
6 0

Answer:

No Solution

Step-by-step explanation:

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A force of 61 N is applied to an area of 750 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer
Dafna11 [192]

Answer:

  813 N/m²

Step-by-step explanation:

The units of pressure tell you it is found by dividing force by area. Here, we need to convert the units of the given area so we can express the pressure appropriately.

__

  pressure = force / area

  pressure = (61 N)/(750 cm² × ((1 m)/(100 cm))²) = (61 N)/(0.0750 m²)

  pressure ≈ 813 N/m²

6 0
3 years ago
how many gallons of 80% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 70% antifr
ololo11 [35]
Let's say we'll mix "x" amount of the 80% solution, how much antifreeze is in it? well is just 80% of antifreeze, and the rest is something else.... what's 80% of "x"? so is (80/100)*x, or 0.8x.

likewise, the mixture will be a 70% solution, and let's say it adds up to "y" amount, so how much antifreeze is in it? well (70/100) * y or 0.7y.

\bf \begin{array}{lccclll}&#10;&\stackrel{gallons}{amount}&\stackrel{\%}{quantity}&\stackrel{antifreeze}{quantity}\\&#10;&------&------&------\\&#10;\textit{80\% sol'n}&x&0.80&0.8x\\&#10;\textit{10\% sol'n}&100&0.10&10\\&#10;------&------&------&------\\&#10;mixture&y&0.70&0.7y&#10;\end{array}

so whatever "x" is, we know that x + 100 = y.

and we know that 0.8x + 10 = 0.7y.

\bf \begin{cases}&#10;x+100=\boxed{y}\\&#10;0.8x+10=0.7y\\&#10;----------\\&#10;0.8x+10=0.7\left( \boxed{x+100} \right)&#10;\end{cases}&#10;\\\\\\&#10;0.8x+10=0.7x+70\implies 0.8x-0.7x=70-10\implies 0.1x=60&#10;\\\\\\&#10;x=\cfrac{60}{0.1}\implies x=600
6 0
3 years ago
May someone please help me
Neporo4naja [7]
I believe that is ten right?
7 0
3 years ago
Read 2 more answers
a. the​ function's domain; b. the​ function's range; c. the​ x-intercepts, if​ any; d. the​ y-intercept, if​ any; and e. the mis
choli [55]

Answer:

c or e

Step-by-step explanation:

7 0
1 year ago
Rewrite 7.13 as a mixed number in lowest terms
bezimeni [28]

Hey there! I'm happy to help!

A mixed number is a whole number and a fraction. We already see that our whole number is 7.

Our decimal is 0.13. Since this goes into the hundredths place, we can rewrite this as 13/100. This cannot be simplified anymore.

Therefore, 7.13 is 7 13/100 in lowest terms.

Have a wonderful day! :D

3 0
3 years ago
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