Answer:
63n + 54
Step-by-step explanation:
9(6+7n)
First you have to multiply 6 and 9 which gives you 54. Then you’ll have to multiply 7n and 9 which equals to 63n. Whenever you see expressions like that, make sure to multiply both numbers inside the parentheses by what’s outside the parentheses. (Well, that method is mainly done like that if there’s one number outside the parentheses—like the expression you’ve provided.)
<em>5.</em> Input 5 where the x's, 3 = 2(5) - 7 is a true statement. 10 - 7 = 3
3 < 10 - 9 is a false statement, 3 > 1 is a true statement
2 is less than or equal to 11, is a false statement (2 is less than 11, but not equal to)
18 = 30 -12 is a true statement 30 - 12 = 18, 18=18
3= 2 + 5 is a false statement, 3 is not equal to 7
<em>6. </em>7 is less than or equal to 5(4) -16, 20 - 16 = 4, 7 is not less than or equal to 4. Therefore, 4 is not a solution.
<em>7. </em>9(5) - 3 < 60, 45-3 < 60, 42 < 60, 42 is less than 60, so the equation is true.
9(6) - 3 < 60, 54 - 3 < 60, 51 < 60, 51 is less than 60, so the equation is true.
6(7) - 3 < 60, 63 -3 < 60, 60 < 60, 60 is equal to 60, the equation is false.
Answer:

Step-by-step explanation:
To write
as a decimal.
Decimal defined as the number with a decimal point in it.
also, the decimal point separates part of whole number and the fractional part in the decimal numbers.
To turn this fraction into a decimal number,
all you have to do is to divide the top number by bottom number i.e


Therefore, 7/12 as a decimal is, 0.583333333....
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT is a straight line.
(Linear pair)


...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.
Part A : D.)
Part B : Length of the sandbox is 10 feet.
Step-by-step explanation:
Given,
Perimeter = 29 ft
We need to find the equation for the perimeter and also the length of the sandbox.
Solution,
Let the width of the sandbox be 'w'.
Now as per question said;
The length of the sandbox is 1 foot longer than twice the width of the sandbox.
So we can say that;
Length =
Now we know that the perimeter is equal to the sum of twice of length and width.
framing in equation form, we get;
Perimeter =
we have given the perimeter, so on substituting the value, we get;
Hence The equation used to find the width is .
Now we solve for 'w'.
Applying distributive property, we get;
Subtracting both side by '2' we get
Dividing both side by 6 we get;
Width of the sandbox = 4.5 ft
Length of the sandbox =
Hence Length of the sandbox is 10 feet.