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2 years ago

How can you evaluate this expression using the distributive property? 5×(7+6)

Mathematics

2 answers:

ASHA 777 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

5x7=35

5x6=30

35+30=65

7+6=13

13x5=65

Bumek [7]2 years ago

5 0

Answer:

The distributive property states that 5×(7+6)= 5(7)+5(6). 5(7)+5(6)=35+30, so the answer is 65.

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Given P(A) = 0.072, P(B) = 0.180, and P(C) = 0.027, and that events A, B, and C are mutually exclusive, what is the P(A or B or

9966 [12]

Given P(A) = 0.072, P(B) = 0.180, and P(C) = 0.027, and that events A, B, and C are mutually exclusive,then P(A or B or C) is 0.279

<u>Solution: </u>

Given that probability of event A is P(A) = 0.072

Probability of event B is P(B) = 0.180

Probability of event C is P(C) = 0.027

Also event A, B and C are mutually exclusive.

Need to determine P( A or B or C )

For mutually exclusive events

P( A or B or C ) = P(A) + P(B) + P(C)

= 0.072 + 0.180 + 0.027 = 0.279

Hence probability of occurrence of event A or event B or event C , where A , B and C are mutually exclusive events is 0.279.

5 0

2 years ago

A rectangular flower garden in Samantha's backyard has 220 feet around its edge. The width of the garden is 50 feet. What is the

Ede4ka [16]

Answer: 60 ft

Step-by-step explanation:

Given

The perimeter of the garden is $220\ ft$

The width of the garden is $50\ ft$

Suppose the length of the garden is $x$

Perimeter is the sum of the lengths of the sides

$\Rightarrow 220=2(x+50)\\\Rightarrow 110=x+50\\\Rightarrow x=60\ ft$

So, the length of the garden is $60\ ft$

4 0

2 years ago

F(y) = y² + 10y + 21 <br>f'(2) = ? <br>

Ahat [919]

Answer:

Step-by-step explanation:

f'(2) = 2y + 10

f'(2) = 2(2) + 10

= 4 + 10

= 14

3 0

1 year ago

Read 2 more answers

High school math help please (20 points for 3 problems, but if you could even answer 2 that would help. Please explain how you g

ipn [44]

Answer:

To question 1: van=9, bus=60

To question 2: Sorry, I don't know the answer.

To question 3: skate rental fee=$2.50, admission fee=$3.25

Step-by-step explanation:

Question 1:

Step 1 - set up equations

14v+16b=1,086

10b+13n=870

Step 2 - Solve for variable (in this case v)

10v+13b=870

Subtract 13b from both sides

10v=-13b+870

Divide both sides by 10

V=-1.3b+87

Step 3 - substitute the v in equation and solve

14 (-1.3b+87)+16b=1,086

-18.2b+1,218+16b=1,086

Combine like-terms

-2.2b+1,218=1,087

Subtract 1,218 from both sides

-2.2b=-132

Divide both sides by -2.2

B=60

Step 4 - substitute for b and solve

10v+13(60)=870

10v+780=870

Subtract 780 from both sides

10v=90

Divide both sides by 10

V=9

Question 3:

Step 1 - set up equations

5s+6f=32

5s+7f=35.25

Step 2 - solve for variable (in this case s)

5s+6f=32

Subtract 6f from both sides

5s=-6f+32

Divide both sides by 5

S=-1.2f+6.4

Step 3 - substitute for s and solve

5(-1.2f+6.4)+7f=35.25

-6f+32+7f=35.25

Combine like-terms

F+32=35.25

Subtract 32 from both sides

F=3.25

Step 4 - substitute for f

5s+6(3.25)=32

5s+19.5=32

Subtract 19.5 from both sides

5s=12.5

Divide both sides by 5

S=2.5

4 0

2 years ago

The volume of a cone is represented by the formula V = 1 T?n. If the volume of a cone is 30rt and the height is 2.5, what is the

Airida [17]

Answer:

radius is 3.38cm

Step-by-step explanation:

Note: the volume of a cone is given as

$V= 1/3 \pi r^2 h$

Step one:

Given Information

volume= 30cm^3

height= 2.5cm

Required

The radius of the cone

Step two:

substituting our data into the expression for the volume of a cone we can then solve for the radius r

$30=1/3 *3.142*r^2 * 2.5\\\\30=1/3*7.855r^2\\\\30=2.62r^2\\\\$

divide both sides by 2.62

$30/2.62= r^2\\\\11.45= r^2\\\\r=\sqrt{11.45} \\\\r=3.38cm$

7 0

2 years ago