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Lina20 [59]
3 years ago
12

To make purple plum paint, the paint store mixes blue and red paint in a ration of 8:5 if a customer needs 65 gallon of paint ho

w many gallons blue and red paint needs to go in the mix
Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

Number of gallons of blue paint = 40 gallons

Number of gallons of red paint = 25 gallons

Step-by-step explanation:

We are given the ratio:

Blue paint : Red paint =

8 : 5

Sum of proportion = 8 + 5 = 13

If the customer need 65 gallons of paint,

a) Number of gallons of blue paint needed =

8/13 × 65 gallons = 40 gallons

b) Number of gallons of red paint needed =

5/13 × 65 gallons = 25 gallons

Therefore:

Number of gallons of blue paint = 40 gallons

Number of gallons of red paint = 25 gallons

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skelet666 [1.2K]

Answer:

x=-\frac{70}{9}

Step-by-step explanation:

Isolate the variable by doing operations to both sides of the equation.  

The work is shown below:

\frac{5}{7} =\frac{10}{x} +2\\\\\frac{5}{7} - 2=\frac{10}{x} +2 - 2\\\\-\frac{9}{7} = \frac{10}{x}\\\\ -\frac{9}{7}*x = \frac{10}{x}*x\\\\ -\frac{9}{7}x = 10\\\\ -\frac{9}{7}x * (-\frac{7}{9})= 10 * (-\frac{7}{9}) \\\\x=-\frac{70}{9}

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What is the value of x in the equation 1/3x-2/3=18<br><br> ? –56 –52 52 56
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In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi
Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n  = 50

sample mean \overline x = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

X \sim N ( \mu \sigma)

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})

P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})

P(X>140) = 1 - P( Z\leq0.42)

From z tables,

P(X>140) = 1 - 0.6628

P(X>140) = 0.3372

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

Y \sim Binomial (np)

Y \sim Binomial (50,0.3372)

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49}  + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +...  + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}

P(Y ≥ 15) = 0.763

7 0
3 years ago
The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to
I am Lyosha [343]

Answer:

D=24

Step-by-step explanation:

y inversely as x

x=k/y

By cross multiplication

k=xy

k=12*6

k=72

finding y

72=3y

y=24

6 0
3 years ago
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