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BARSIC [14]
3 years ago
5

15p+3(p-1)>3(2) exponent of 3 on two

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0
15p + 3(p-1) > 3(2^3)
15p + 3p - 3 > 3(8)
18p - 3 > 24
18p > 24 + 3
18p > 27
p > 27/18
p > 3/2 or 1 1/2
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A recipe for a soup.calls for 1/3 cup of chopped onion and 2/6 cup of chopped
Anestetic [448]

Answer: 2/3

Step-by-step explanation:

5 0
3 years ago
Chapman’s brickyard sells bricks and blocks. A brick costs $0.38 and a block costs $1.56. The brickyard filled a $24.80 order, w
Lisa [10]

Answer:

number of bricks = 16 and number of blocks  = 12

Step-by-step explanation:

From given information it seems , we need to determine number of bricks and number of blocks.

lets assume number of bricks = x

and number of blocks = y

since total items in brickyard is 28

⇒  number of bricks + number of blocks = 28

⇒ x + y = 28         ----------------------- equation 1

Given that cost of 1 brick = $0.38  and cost of 1 block =$1.56

so cost of x bricks = cost of 1 brick × x = 0.38x

And cost of y blocks = cost of 1 block × y = 1.56y

total cost of 28 items order = $24.80

total cost of 28 items = cost of x bricks + cost of y blocks

⇒0.38x + 1.56y = 24.80 ----------------equation 2

Now we are having following two equations

x + y = 28         ----------------------- equation 1

0.38x + 1.56y = 24.80 ----------------equation 2

from equation 1 we get x = 28 - y , substituting this value of x in equation 2 we get

0.38(28 - y) + 1.56y =  24.80

⇒10.64-0.38y+1.56y= 24.80

⇒1.18y = 24.80 - 10.64

⇒y = 14.16÷1.18 = 12

substituting value of y in equation 1 we get

x + 12 = 28

⇒x = 16

hence  number of bricks = x  = 16 and number of blocks = y = 12



4 0
3 years ago
7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?
loris [4]

Answer: a. Radius of circle = \sqrt{85}

b. The equation of this circle : (x-3)^2+(y-10)^2=85

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = \sqrt{(12-3)^2+(12-10)^2}

Radius of circle = \sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}

i.e. Radius of circle = \sqrt{85}

b. Equation of a circle = (x-h)^2+(y-k)^2=r^2 , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= \sqrt{85} , we get

(x-3)^2+(y-10)^2=(\sqrt{85})^2

(x-3)^2+(y-10)^2=85

∴  The equation of this circle :(x-3)^2+(y-10)^2=85

6 0
3 years ago
25 points
elixir [45]
C. 4x + y = 21

4(3) + 9 = 21
12 + 9 = 21
21 = 21
8 0
3 years ago
Read 2 more answers
A line goes through the point (2, 4) and has a slope of 3/2. Which of the following points is also on the line? CHOOSE ALL THAT
damaskus [11]

Answer:

(4,7) and (0,1)

Step-by-step explanation:

(7-4)/(4-2) = 3/ 2, and (4-1)/(2-0) = 3/2.

8 0
2 years ago
Read 2 more answers
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