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saw5 [17]
3 years ago
5

Solve the question: 3(.5y-6)=12​

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:

y = 20.

Step-by-step explanation:

Distribute:

3(0.5y)-3(6)=12

1.5y-18=12

Add 18 to both sides:

1.5y-18+18=12+18

1.5y=30

Solve for y:

\frac{1.5y}{1.5}=\frac{30}{1.5}

y=20

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A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $
Lerok [7]

Answer:

Sale price= $26.25

Step-by-step explanation:

Giving the following information:

Selling price= $35

Discount rate= 25%

<u>To calculate the sale price of the sweater, we need to use the following formula:</u>

<u></u>

Sale price= selling price*(1 - discount rate)

Sale price= 35*(1 - 0.25)

Sale price= 35*0.75

Sale price= $26.25

8 0
2 years ago
Last month,Margo bought a tree that grows 2.5cm each day.It was 5cm tall when she bought it and now it 65cm tall. Write a equati
Effectus [21]

Answer:

The equation to determine the number of days Margo has owned the plant is 5+2.5x=65.

Step-by-step explanation:

Given:

Actual length of the tree = 5 cm

Current length of the tree = 65 cm

Per day growth Rate of plant = 2.5 cm

Let number of days she owned the plant be 'x'

Now We can say that,

Current length of the tree is equal to sum of Actual length of the tree and Per day growth Rate of plant multiplied by number of days she owned the plant.

Farming the above sentence in equation form we get;

5+2.5x=65

Hence the equation to determine the number of days Margo has owned the plant is 5+2.5x=65.

4 0
2 years ago
can anyone explain this question please - What is the standard form of the following equation? y+3=1/4x Use integers for A, B, a
Vlad1618 [11]
Standard form is
ax+by=c
where a,b,c are integers

y+3=1/4x
timesboth sides by 4
4y+12=x
minus x both sides
-x+4y+12=0
minus 12 both sides
-x+4y=-12
(I like x to be positive so)
times both sides by -1
1x-4y=12
a=1
b=-4
c=12
4 0
3 years ago
Brenda is selling cakes for a fundraiser. Customer can buy pecan cakes for $7.75 and chocolate cake for $9.50. Brenda sold 39 ca
Stolb23 [73]

Answer:

27 chocolate cake and 12 pecan cake

Step-by-step explanation:

7 0
2 years ago
Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. ​(a) Descri
OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

\mu = 74

and

\sigma = 6

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

\mu = 74

The standard error of the means becomes the standard deviation of the sampling distribution.

\sigma_ { \bar X }  =  \frac{ \sigma}{ \sqrt{n} }  \\ \sigma_ { \bar X }  =  \frac{ 6}{ \sqrt{36} }  = 1

Part b) We want to find

P(\bar X \:>\:75.9)

We need to convert to z-score.

P(\bar X \:>\:75.9)  = P(z \:>\: \frac{75.9 - 74}{1} )  \\  = P(z \:>\: \frac{75.9 - 74}{1} ) \\  = P(z \:>\: 1.9) \\  = 0.0287

Part c)

We want to find

P(\bar X \: < \:71.95)

We convert to z-score and use the normal distribution table to find the corresponding area.

P(\bar X \: < \:71.95)  = P(z \: < \: \frac{71.9 5- 74}{1} )  \\  = P(z \: < \: \frac{71.9 5- 74}{1} ) \\  = P(z \: < \:  - 2.05) \\  = 0.0202

Part d)

We want to find :

P(73\:

We convert to z-scores and again use the standard normal distribution table.

P( \frac{73 - 74}{1} \:< \: z

5 0
3 years ago
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