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skelet666 [1.2K]
3 years ago
11

Please help! The image attached has the question, diagram, and possible answers!

Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0
4x - 16 = 2x + 6
4x - 2x - 16 = 2x - 2x + 6
2x - 16 = 6
2x - 16 + 16 = 6 + 16
2x = 22
x = 22/2 = 11

so m <ABT = 4(11) - 16 = 44-16  = 28 degrees Answer
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T = 320.00 + 0.40b
Gemiola [76]

Answer:

c) The total price for the service  when Terrance's price was equivalent to Sylvester's price  is $600.

Step-by-step explanation:

   Here,   t = 320.00 + 0.40 b

and  t = The total prices charged by Terrance for packing and moving b boxes.

s = 250.00 +0.50 b

and  s = The total prices charged by Sylvester  for packing and moving b boxes.

Now, to find the number of boxes, when both the prices are equal.

⇒320.00 + 0.40 b  = 250.00 +0.50 b

or, 320 - 250 = 0.50 b - 0.40 b

or, 0.10 b =  70

or, b= 70/0.10 = 700

Hence, for packing and moving b = 700 boxes, both companies charge the same amount.

Now, the price charged = 320 + 0.4 (b)

                                         = 320 + 0.4(70) = 320 + 280

                                         = 600

or,  the total price for the service  when Terrance's price was equivalent to Sylvester's price  is $600.

3 0
3 years ago
Bored at his job one day, Kenneth sits at his desk and looks at the clock and calculates that every time 5 seconds goes by, he e
Lana71 [14]

Answer:

$28.80 per hour

Step-by-step explanation:

60 ÷ 5 = 12

4 × 12 = 4.8

He makes $00.48 per minute.

.48 × 60 = 28.80

8 0
2 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Sindrei [870]

Answer:

B

Step-by-step explanation:

Since both angles together need to equal 180, set up your formula as

(x+30)+(x+10)=180

2x+40=180

3 0
3 years ago
9(p-4)<br> 6<br> P + 2<br> 2<br> solve the equation
Karolina [17]

Answer:

6p^2-24p+22

Step-by-step explanation:

8 0
3 years ago
If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they w
Marysya12 [62]
The main formula we use here is Work=Rate*Time,


1. The rate (speed of working) of Dominik is 

r_D=1project/8hours= \frac{1}{8}(prj/h)

2. Let the the rate of Katarina be r_K=x(prj/h)

Together they have a rate of r_D_K equal to \frac{1}{8}+x (project per hour)

so (\frac{1}{8}+x) ( \frac{proj}{hr})*5(hr)=1(proj)

simplify the units:

(\frac{1}{8}+x) *5=1

\frac{1}{8}+x = \frac{1}{5}

x= \frac{1}{5}- \frac{1}{8}= \frac{8-5}{40}= \frac{3}{40}

so the rate of Katarina is 3/40 (proj per hour)

Now, the rate of Dominik was 1/8 (pr/hr)=5/40 (pr/hr)

In 5 hours Dominik complets 5*5/40=25/40 of the project

Katarina completes 5*3/40=15/40 of the project.
7 0
3 years ago
Read 2 more answers
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