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allsm [11]
3 years ago
15

What's the distributive property when solving the equation 7(x+5)-x=42

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0
When you are doing distributive property, it can only happen if a number or exponent is before the bracket. From this equation, you can solve for x like so:

7(x+5)-x=42

7x+35-x=42 -Using distributive property (Multiplication)

6x=7 -Collecting like terms.

x= 7/6 -The answer.

Therefore x would equate to 7/6.
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A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at
GenaCL600 [577]

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

8 0
3 years ago
Kai is making a chessboard using pieces of wood that measure 1sq in when she finishes the chessboard well have an area of 64 sq
Kay [80]

Answer:

8 pieces of wood should be put along each side of the chessboard

Step-by-step explanation:

Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.

Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood

Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood

64 pieces of wood would be needed to complete the cheeseboard.

The number of pieces to put along each side of the cheese board will be √64.

This is because the shape of a chessboard is square.

Thus the number of pieces to put on each side will be √64 = 8

3 0
3 years ago
Find the number if :<br> 5/9 of it is 90
Naddik [55]

Answer:

5/9 of 90 = (5/9)(90) = 50

Step-by-step explanation:

5 0
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A square serving platter has an area of 124 inches squared. Which is the best estimate of the side length of the platter?
mafiozo [28]

Answer:

Approximately 11 inches

Step-by-step explanation:

7 0
3 years ago
In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
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