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Elden [556K]
3 years ago
12

How do you make 'a' the subject of the formula: ab - cd = ac

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
3 0
First bring all terms in 'a' to the left side of the formula by subtracting ac from both sides

ab - ac - cd = ac - ac 
ab - ac - cd = 0
now add cd to both sides
ab - ac -cd + cd = cd
ab - ac = cd
now factor the left side by taking out the 'a' 
a(b-c) = cd
now divide both sides by (b-c)
a = cd / (b-c)
done

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HELP IS MUCH NEEDED :)
ElenaW [278]
∠ADC = 112°
∠ADC =6x + 7 + 12x - 3

Equate both:
6x + 7 + 12x - 3 = 112

Solve for x :
6x + 7 + 12x - 3 = 112

Combine like terms:
18x + 4= 112

Take away 4 from both sides:
18x = 108

Divide both sides by 18:
x = 6

Find ∠ADB:
6x + 7 = 6(6) + 7 = 43


Answer: ∠ADB = 43°

5 0
3 years ago
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ANSWER PLEASE! SHOW WORK
irga5000 [103]

Answer:

Use compatible numbers that are close to the actual numbers

Choose 36 for 35 3/4 and 6 for 5 7/8 because the divide evenly.

Step-by-step explanation:

Compatible numbers are numbers that are close to the actual values of a particular number. They make estimating easier when yo udo the different operations.

We choose 36 for 35 3/4 because 36 is closer to its value that 34. Conveniently, 5 7/8 is closer to 6 than 5, and they divide evenly. So a best estimate for the number of rows Holly can make would be:

36/6 = 6 rows.

7 0
3 years ago
Solve for x.<br> A) -7<br> C) 6<br> B) 9<br> D) 10
Mekhanik [1.2K]

Answer:

A

Step-by-step explanation:

The segment BC  joining the midpoints of 2 sides of the triangle is

Half the length of the third side, that is

x + 31 = 2(x + 19)

x + 31 = 2x + 38 ( subtract x from both sides )

31 = x + 38 ( subtract 38 from both sides )

- 7 = x → A

5 0
2 years ago
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Jessica has 20 pieces of candy in a bag: 2 mint sticks, 9 jelly treats, and 9 fruit tart chews. If she eats one piece every 10 m
dedylja [7]

Answer:

18.95%

Step-by-step explanation:

In this case what we must do is calculate the probability of eating a jelly treats first and then another jelly treats, being the final probability the multiplication of these events.

We know that there are 20 in total and that initially there are 9 jelly treats, so the first event is the probability:

9/20  

And the second event, with one less in each, would be:

8/19

The final probability then:

9/20 * 8/19 = 0.1895

So the probability of this happening is 18.95%

4 0
4 years ago
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The sweet sweet shop charges $8.45 for a pound of chocolate covered almonds. If Britain buys 1.5 pounds of the almonds, how much
choli [55]

Answer:

$12.68

Step-by-step explanation:

Multiply the price of one pound by the amount of pounds you're buying,

8.45 x 1.5

= 12.675

Round up

= 12.68

5 0
3 years ago
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