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VLD [36.1K]
3 years ago
8

Translate each phrase into an algebraic inequality:

Mathematics
2 answers:
damaskus [11]3 years ago
7 0

Answer:

Let the maximum time be x

She can work 30 hrs or below ( maximum of 30 hrs)

Therefore, the equation is

\huge \boxed{x \leqslant 30 \: hours}

Nonamiya [84]3 years ago
5 0

Let hours = x

She can work a maximum of 30 hours so x can be any number from 30 or below.

The inequality would be: X <= 30

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A pharmacist wants to mix a 30% saline solution with a 10% saline solution to get 200 mL of a 12% saline solution. How much of e
Bess [88]

Answer:

30% constituents=20 mL

10% constituents=180 mL

Step-by-step explanation:

x= 30% volume

y=10% volume

For our first equation, we know the total volume is 200 mL and is the sum

x+y=200

y=200-x (1)

For our second equation, we do a mass balance for 200 mL of final solution.

12% w/v = 0.12 g/mL

This means that in 1 mL of solution, we have 0.12 g of NaCl.

For any solution, concentration multiplied by volume will give the mass of NaCl:

Mass in x mL= C*V (g/mL) (mL)

So in 200 mL, we have

0.12*200 (g/mL) (mL)

=24g of NaCl

Cx*Vx + Cy*Vy=24

0.3x+0.1y=24 (2)

Substitute y=200-x into (2)

0.3x+0.1(200-x)=24

0.3x+20-0.1x=24

0.2x=24-20

0.2x=4

Divide both sides by 0.2

0.2x/0.2=4/0.2

x=20

Substitute x=20 into (1)

y=200-x

y=200-20

y=180

30% constituents=20 mL

10% constituents=180 mL

6 0
3 years ago
Kate ate 1/4 of her orange. Ben ate 2/4 of his banana. Did Kate and Ben eat 1/4+2\4=3/4? Explain
kozerog [31]

Answer:

yes

Step-by-step explanation:

1 + 2 = 3

You don't add equal denominators. so 3/4

3 0
3 years ago
Please help! Will mark brainliest if correct! Tysm :)
Vika [28.1K]

Answer:

the answer will be B)8,491 mm

Step-by-step explanation:

i hope it helps

have a nice day ^_^

4 0
3 years ago
PLEASE HELP!! I NEED THIS SOON!! Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by
iris [78.8K]

Answer:

Step-by-step explanation:

luhfr

6 0
3 years ago
Read 2 more answers
Two angles are supplementary. The larger angle is 33 degrees more than 6 times the smaller angle. Find the measure of each angle
noname [10]

Sum of two angles that are supplementary = 180°

Let the smaller angle be = x

Let \:  the  \: smaller \:  angle \:  be \:  =  \: x

then \: the \: larger \: angle \:  = 6x + 33

<h3>Their sum :</h3>

x + 6x + 33 = 180

7x + 33 = 180

7x = 180 - 33

7x = 147

x =  \frac{147}{7}

x = 21

Using this let us find the measures of the smaller angle and bigger angle .

smaller \: angle \:  = x = 21°

larger \: angle \:  = 6x + 33 = 6 \times 21 + 33 = 126 + 33 = 159°

∴ The measure of the two angles are = 21° and 159° .

3 0
3 years ago
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