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SashulF [63]
3 years ago
13

Which number produces a rational number when added to 0.25?

Mathematics
2 answers:
solniwko [45]3 years ago
6 0

A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal.

So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.

So, option C is correct.

NemiM [27]3 years ago
4 0
C. Would be the best answer 
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A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.
seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}

so

\frac{x}{y}=\frac{1}{8}:\frac{3}{8}

\frac{x}{y}=\frac{1}{3}

x=\frac{y}{3} -----> equation A

\frac{x}{z}=\frac{1}{8}:\frac{1}{2}

\frac{x}{z}=\frac{1}{4}

x=\frac{1}{4}z -----> equation B

\frac{y}{z}=\frac{3}{8}:\frac{1}{2}

\frac{y}{z}=\frac{3}{4}

y=\frac{3}{4}z -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

z=4

<em>Find the value of x</em>

substitute the value of z in equation B

x=\frac{1}{4}(4)

x=1

<em>Find the value of y</em>

substitute the value of z in equation C

y=\frac{3}{4}(4)

y=3

therefore

<em>Bottle 1</em>

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

y=6

<em>Find the value of x</em>

substitute the value of y in equation A

x=\frac{6}{3}=2

<em>Find the value of z</em>

substitute the value of x in equation B

2=\frac{1}{4}z

solve for z

z=8

therefore

<em>Bottle 2</em>

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

x=1\frac{1}{2}

convert to an improper fraction

x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}

<em>Find the value of y</em>

substitute the value of x in equation A

\frac{3}{2}=\frac{y}{3}

y=\frac{9}{2}

convert to mixed number

y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}

<em>Find the value of z</em>

substitute the value of x in equation B

\frac{3}{2}=\frac{1}{4}z

z=6

therefore

<em>Bottle 3</em>

vanilla=1 1/2

almond=4 1/2

pineapple=6

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3 years ago
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Angles STU and UTV combine to form right angle STV. Which expression could be used to find the measure,in degrees,of angle UTV?
Sergeu [11.5K]
STV=STU+UTV

But,
STV=90° and STU = 75°

Therefore,
90=75+UTV => UTV = 90-75

Therefore, expression A is the one that can be used to find UTV.
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Help me w this problem please !!!
jeka94

Answer:

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What is the reciprocal
weqwewe [10]
Answer is C. 7/12 has the reciprocal of 12/7. When You multiply by a reciprocal, you just switch the numerator and denominator. The answer does NOT become negative. It would change the fraction itself.
Example:
3/6= 6/3
5/7= 7/5
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Which expressions represents twelve diminished by six times a number:. 12-6n; 6n-12; 12n-6
Ede4ka [16]
12-6n
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