(x + 3)(5x + 6)
(x + 3)(11x)
Prime
Answer:
Option 2 is correct.
Step-by-step explanation:
Given the expression 5x(x + 3) + 6(x + 3).
We have to factorize the expression completely.
Expression is
5x(x + 3) + 6(x + 3)
Take the factor (x+3) common from both the terms, we get
(x+3)(5x+6)
Hence, option 2 is correct.
The number of times to give as a change is given by the equation D = 79
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as D
Now , the value of D is
The total amount of money = $ 7.94
The value of 1 penny = $ 0.01
The value of 1 nickel = $ 0.05
The value of 1 dime = $ 0.10
The value of 1 quarter = $ 0.25
So , the amount $ 7.94 can be given as a change in different ways such as
The amount $ 7.94 = 79 dimes + 4 pennies
On simplifying the equation , we get
The amount $ 7.94 = ( 79 x 0.10 ) + ( 4 x 0.01 )
The amount $ 7.94 = 7.9 + 0.04
The amount $ 7.94 = $ 7.94
Therefore , the value of D is 79 dimes
Hence , the number of dimes is 79 dimes
To learn more about equations click :
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a.v=2/3bh
b. v=1/4bh
c.v=2bh
d.v=1/6bh
Answer: D) V= 1/6 bh
Step-by-step explanation:
Since according to the given question, A pyramid is placed inside a prism.
And, The pyramid has the same base area, b, as the prism but half the height, h, of the prism.
Therefore, base area of the pyramid = b
Height of the pyramid = h/2
Since, The volume of the pyramid,
V = 1/3 × base ares × height
V= 1/3 × b × h/2
V= 1/6 bh
Thus the required volume = 1/6 bh cube unit.
Therefore Option D is correct.
Answer:
V = 1/6 BH
Im also taking this class on edmentum
Step-by-step explanation:
the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6
b. 3 must be a factor of a or of b
c. 3 must be a factor of a and of b
please help and show work
Answer:
x = 5
Step-by-step explanation:
Because the red-marked lines are parallel, we know that the ratios are the same
5x : 45 = 20 : 36
5x/45 = 20/36
5x * 36 = 20 * 45
5x * 4 = 20 * 5
5x * 1 = 5 * 5
x = 5