MATHEMATICS HIGH SCHOOL

Please solve for a Earn 40 points.
A=16 but I don't how to get that

4(a-1) -5 =3a + 7

Answers

Answer 1
Answer: Distributive  property says 4 * a and 4 * -1 so 4a - 4 - 5 = 3a + 7
Now do the simple subtraction
-4 - 5 = -9
Then add 9 and subtract 3a Remember: Always do the opposite operation to both
sides. So you have a = 16
Answer 2
Answer: 4\cdot(a-1)-5=3a+7\n\n4\cdot a-4\cdot1-5=3a+7\n\n4a-4-5=3a+7\n\n4a-9=3a+7\ \ \ /+9\n\n4a-9+9=3a+7+9\n\n4a=3a+16\ \ \ \ /-3a\n\n4a-3a=3a-3a+16\n\na=16

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Suppose the probability that the Seahawks will defeat the Raiders is 0.55. What is the complement and what does it mean?20/9 ; the probability that the Seahawks will not defeat the Raiders.

20/9 ; the probability that the Seahawks will defeat the Raiders.

11/20 ; the probability that the Seahawks will defeat the Raiders.

0.45 ; the probability that the Seahawks will not defeat the Raiders.

Answers

Answer:

D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.

Step-by-step explanation:

The complement of an event A is the set of all outcomes in the sample space that are not included in the outcomes of event A.

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1, or for the event A, and its complement event \overline{A} always

Pr(A)+Pr(\overline{A})=1.

If Pr(A)=0.55, then

0.55+Pr(\overline{A})=1\n \nPr(\overline{A})=1-0.55=0.45.

Event A - the Seahawks will defeat the Raiders

Event \overline{A} - the Seahawks will not defeat the Raiders

Hence, correct choice is D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.

The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of ​​the original piece of land.

Answers

Step-by-step explanation:

Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m

Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m

If 4 small square flower bed of side length 1 m are made at center.

To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.

Perimeter of the rectangle = 2 × ( length + breadth )

= 2 × ( 25/2 + 26/5 )

= 2 × ( 177/10 )

= 177/5 m

= 35.4 m

Area of the rectangular land = Length × Breadth

= 25/2 × 26/5

= 5 × 13

= 65 m²

Area of a flower bed = side × side = 1 × 1 = 1 m²

Area of 4 flower bed= 4 × 1 = 4 m²

Area left in the land = 65 - 4 = 61 m²

Therefore, Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²

Hello! I could use some help with this algebra question:)

Answers

Answer:

f(-2) = -14

f(4) = -13

Step-by-step explanation:

(in picture)

Which value of x must be excluded from the domain of the function, y = 9 / 2(x + 7)?a) -2
b) -7
c) 2
d) 7

Answers

b) -7 because the dominator must be different by 0.

2(x + 7) ≠ 0    |divide both sides by 2

x + 7 ≠ 0    |subtract 7 from both sides

x ≠ -7

HELP ASAP PLEASE I NEED HELP

Answers

Answer:

A

Step-by-step explanation:

I think it is I'm not sure but I hope it is

After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an even layer over an empty lot with dimensions 30 yards by 64 yards, about how deep, in yards, would the layer of dirt be? Can you help me with this?

Answers

V=7,000\ yd^3\ \ \ and\ \ \ V=30\ yd\ \cdot64\ yd\ \cdot x\n \n30\cdot64\cdot x=7,000\ /:(30\cdot64)\n \nx= (7\cdot25\cdot4\cdot10)/(3\cdot10\cdot16\cdot4) \n \nx= (7\cdot25)/(3\cdot16) \n \nx= (175)/(48)\ [yd] \ \ \ and\ \ \ 1\ yd=36\ in\n \n(175)/(48)\ yd =(175)/(48)\cdot 36\ in= (175\cdot3)/(4)\ in=131.25\ in
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