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Bingel [31]
3 years ago
7

what is the area of a circle with a diameter of 4.2 centimeters? us 3.14 for pi. round your answer to the nearest tenth.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0
Circle Area = PI * radius^2
radius = 2.1
Circle Area = 3.14 * 2.1^2
Circle Area = <span> <span> <span> 13.8


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ou decide to bake some cakes. You need 150 g of flour for 12 cakes. How much flour do you need for 30 cakes? g
Brilliant_brown [7]
Short answer: 375 grams

Remark
You only need to set up a direct proportion

Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30

Proportion
amount flour for 12 cakes / 12 cakes  = x / 30

Sub and solve
150 grams / 12 cakes = x / 30 cakes  Cross multiply
150 * 30 = 12 *x                                  Multiply the left side. 
4500 = 12 x                                         Divide both sides by 12
4500/12 = x
375 grams for 30 cakes. <<<<< Answer
5 0
3 years ago
HELP TIMED BRAINLY POINTS​
kozerog [31]

Answer:

dude you need to show the whole answer

Step-by-step explanation:

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6 0
3 years ago
PLEASE HELPP!
r-ruslan [8.4K]

Answer:

$1.25

September

$30

Step-by-step explanation:

Let's take this a step a time.

First we need to find how much the price of the flowers were in September.

We know that each flower cost $1.50 on October.

The October price was a 20% increase of the September price.

To calculate for the price of the flowers on September, we can solve it like this:

Let x = Price during September

1.2x = 1.50

We used 1.2 because the price of $1.50 is 120% of the original price.

Now we divide both sides by 1.2 to find x.

\dfrac{1.2x}{1.2}=\dfrac{1.5}{1.2}

x = 1.25

The price of the flowers during September was $1.25 each.

Now the 7th grade class earned 40% of the selling price of each flower.

40% = 0.40

To find how much they made on each month, we simply multiply the percentage to the price and the number of flowers sold.

September = 0.40 x 1.25 x 900

September = 0.5 x 900

September = $450

Now for October.

October = 0.40 x 1.50 x 700

October = 0.6 x 700

October = $420

The 7th Graders earned more on September.

They earned $30 more on September than October.

5 0
3 years ago
In an arithmetic series, the sum of the first 12 terms is equal to ten times the sum of the first 3 terms. If the first term is
arlik [135]

Answer:

Step-by-step explanation:

The formula for determining the sum of the first n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

If a = 5, the expression for the sum of the first 12 terms is

S12 = 12/2[2 × 5 + (12 - 1)d]

S12 = 6[10 + 11d]

S12 = 60 + 66d

Also, the expression for the sum of the first 3 terms is

S3 = 3/2[2 × 5 + (3 - 1)d]

S3 = 1.5[10 + 2d]

S3 = 15 + 3d

The sum of the first 12 terms is equal to ten times the sum of the first 3 terms. Therefore,

60 + 66d = 10(15 + 3d)

60 + 66d = 150 + 30d

66d + 30d = 150 - 60

36d = 90

d = 90/36

d = 2.5

For S20,

S20 = 20/2[2 × 5 + (20 - 1)2.5]

S20 = 10[10 + 47.5)

S20 = 10 × 57.5 = 575

8 0
3 years ago
Trey pays a $6 monthly fee plus 8. Cents per minute. Last month, Trey's long distance bill was $12.72. For how many minutes was
Anit [1.1K]

Hello!

Since Trey pays a flat monthly $6 fee, we can subtract that from the total bill:

$12.27 - $6 = $6.72

That leaves us with a total of $6.72 paid for minutes. We are told that Trey is charged 8 cents per minute of usage. Using the information above, we can create the following equation:

$0.08 x (minutes) = $6.72

Now divide $0.08 from both sides of the equation and simplify:

\frac{0.08}{0.08} x (minutes) = \frac{6.72}{0.08}

minutes = 84

We have now proven that Trey was billed for 84 minutes.

I hope this helps!

5 0
3 years ago
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