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vova2212 [387]
4 years ago
10

Chloe George

Mathematics
2 answers:
Ronch [10]4 years ago
8 0

Answer:

ABC  = 27

DBC  = 56

Step-by-step explanation:

ABC + CBD = ABD

x+10 + 4x-12 = 83

Combine like terms

5x -2 = 83

Add 2 to each side

5x-2+2 = 83+2

5x = 85

Divide each side by 5

5x/5 = 85/5

x =17

ABC = x+10 = 17+10 = 27

DBC = 4x-12 = 4*17 -12 = 68-12 = 56

gavmur [86]4 years ago
6 0

Answer:

Angle ABC = 27°

Angle DBC = 56°

Step-by-step explanation:

So we have to set an equation first.

x + 10 + 4x - 12 = 83

This simplified = 5x - 2 = 83

--> 5x = 85

so x = 17

Plug it in to the formula for ABC and DBC

ABC = x + 10

17 + 10 = 27

ABC = 27

DBC = 4x - 12

68 - 12

DBC = 56

Thus, we have our 2 answers.

Hope this helps!

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san4es73 [151]
Answer:
f(320)= how much Dereck pays for phone service if he calls  320 minutes.

F(320)=0.11(320)+43=35.2+43=78.2

Answer: the value of f(320) is $78.2 and it will be the cost of phone service for 320 minutes of international calls.  
4 0
3 years ago
Read 2 more answers
Solve the problem by multiplying first.
ehidna [41]

Answer:

Number of bagels = 10

Number of donuts = 25

Step-by-step explanation:

Let Number of bagels = b

Number of donuts = d

As given,

Each donut cost $0.55 and each bagel cost $1.20

⇒ Cost of d donuts = $0.55d

   Cost of b bagels = $1.20b

Also given,

Jamian bought a total of 35 bagels and donuts

⇒ b + d = 35     ........(1)

Also,

He paid a total of  $25.75.

⇒ 1.20b + 0.55d = 25.75          .........(2)

Now,

Multiply equation (1) by 1.20 , we get

1.20( b + d = 35 )

⇒1.20b + 1.20d = 42               ..........(3)

Now,

Subtract equation (2) from equation (3), we get

1.20b + 1.20d  - ( 1.20b + 0.55d ) = 42 - 25.75

⇒1.20b + 1.20d  - 1.20b - 0.55d  = 16.25

⇒0.65d = 16.25

⇒d = \frac{16.25}{0.65} = 25

⇒d = 25

Put the value of d in equation (1) , we get

b + d = 35

⇒b + 25 = 35

⇒b = 35 - 25 = 10

⇒b = 10

∴ we get

Number of bagels = b = 10

Number of donuts = d = 25

8 0
3 years ago
20 less than12 times a number is 64, what is the number
Genrish500 [490]

20  <  12  ⋅  <em>x</em>  =  64

This is somewhat of a false equation though, due to  the left side  "20"  is not less than the right side  "12 ", which means that the given statement is false.

So I switched it up and made the variable "12"

<u>12  <  20  ⋅  </u><u><em>x</em></u><u>  =  64 </u>

12x - 20 = 64

12x = 64 + 20

12x = 84

12x⁄12 = 84⁄12  

x = 7

____

I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

3 0
3 years ago
Will give Brainliest to whoever answers first!
lapo4ka [179]

Answer:

solid...(-3,0)(-4,-1)...shaded below the line

slope = (-1-0) / (-4-(-3) = -1/(-4 + 3) = -1/-1 = 1

y = mx + b

-1 = 1(-4) + b

-1 = -4 + b

-1 + 4 = b

3 = b

this line is : y < = x + 3 <== (thats less then or equal)

====================

solid...(1,1)(2,-1)...shaded below the line

slope = (-1-1) / (2-1) = -2/1 = -2

y = mx + b

1 = -2(1) + b

1 = -2 + b

1 + 2 = b

3 = b

Step-by-step explanation:

7 0
3 years ago
A Midwestern competition awarded 38 ribbons. The number of blue ribbons was 1 less than the number of white ribbons. The number
xxTIMURxx [149]
There are 12 white ribbons, 15 red ribbons, and 11 blue ribbons.

38=(w-1)+(w+3)+w
combine like terms
38=2+3w
subtract 2 from both sides
36=3w
divide 3 on both sides
12=w

w-1=b
12-1=b
11=b

w+3=r
12+3=r
15=r

Check Your Work
w+r+b=38
15+11+12=38
38=38
7 0
3 years ago
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