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ddd [48]
3 years ago
11

5(2x + 4) = 50 (Given) 10x + 20 = 50 (Distributive Property) 10x = 30 (?) x = 3 (Division Property) Fill in the missing reason f

or the argument shown. A) multiplication B) division property C) transitive property D) subtraction property
Mathematics
2 answers:
mestny [16]3 years ago
6 0

We go from 10x+20 = 50 to 10x = 30 after we subtract 20 from both sides. So we use the subtraction property (of equality).

Answer: Choice D

Archy [21]3 years ago
6 0
D because 20 was taken to the other side and was subtracted from 50 which makes 30
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Whilst shopping, the probability that Caroline buys fruit is 0.7.
Lilit [14]

Answer:

Probability that Caroline buys fruit, a CD or both is 0.76.

Step-by-step explanation:

Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.

Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.

Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.

Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.

3 0
2 years ago
Read 2 more answers
What is the possibility that a red or green marble will be selected from a bag containing 9 red marbles, 6 blue marbles , 7 gree
marusya05 [52]

Answer:

16/33

Step-by-step explanation:

We have a bag of :

9 red marbles

6 blue marbles

7 green marbles

11 yellow marbles

Total number of marbles = 33 marbles.

The possibility that a red or green marble will be selected from a bag

P( Red or Green) = P(Red) + P(Green)

In the question we are not told if it is with replacement or without. We do both

With replacement

P( R or G) = P(Red) + P(Green)

P(Red)= 9/33

P(Green) = 7/33

= 9/33 + 7/33

= 16/33

Therefore, the possibility that a red or green marble will be selected from a bag is 16/33

8 0
3 years ago
Solve the equation for a.
Pavel [41]

Answer:

\large\boxed{a=\dfrac{K}{4+9b}}

Step-by-step explanation:

K=4a+9ab\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\K=a(4+9b)\qquad\text{divide both sides by}\ (4+9b)\neq0\\\\\dfrac{K}{(4+9b)}=\dfrac{a(4+9b)}{(4+9b)}\\\\\dfrac{K}{4+9b}=a

6 0
3 years ago
Read 2 more answers
Q.1 The park's sprinklers can spray 1,748 gallons of water on the grass in 38 minutes. How many gallons can they spray in one mi
alexandr402 [8]
Q.1: 
1748/38=46
The sprinkler can spray 46 gallons of water in 1 minute.

Q.2:
1408/32=44
The auto factory can build 44 trucks in 1 day.

Q.3:
31*27=837
They need to hire 837 employees.

Q.4:
1326/26=51
The parking lot will have 51 cars per row.

Q.5:
761*23=17503
The machine can make 17,503 pencils in 23 seconds

Q.6:
1023*71=72633
The mail trucks have 72,633 pieces of junk mail in total.
6 0
3 years ago
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Jared is creating a flower garden in the shape of a triangle. which could be the dimensions of the garden in feet
a_sh-v [17]

Answer:

B- 3 by 7 by 9 is the only right answer.

Step-by-step explanation:

What is a triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.

Basic rule:

A triangle must be tri-sided, means it must have three sides which is only possible if the sum of the smaller two sides is greater than the third side. Otherwise, a triangle is not physically possible.

A- 2+3 = 5 hence not a triangle.

B- 3+7 > 9 hence a triangle.

C- 4+5 < 9.5 hence not a triangle.

D- 5+6 < 12 hence not a triangle.

3 0
3 years ago
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