Which math expression represents the phrase?9 times the sum of a number and 7









A.

9 · n + 7








B.

9 · (n + 7)








C.

9 · (n – 7)








D.

9 · (n · 7)

Answers

Answer 1
Answer: "The sum of a number and 7"
Sum implies addition.
We would write this part as n + 7.

Then we would write the "9 times" part in like this:
· (n + 7)
We can't write just 9 · n + 7 without the parentheses, because then we would be multiplying just 9 and n instead of 9 and the sum of n and 7. (order of operations says we must do multiplication first)

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Answers

Answer:

In the first box, the fraction is 1 and 1/4. In the second box, the fraction is 2 and 3/4. In the third box, the fraction is 3 and 3/4.


Step-by-step explanation:


Answer:

In the first box, the fraction is 1 and 1/4. In the second box, the fraction is 2 and 3/4. In the third box, the fraction is 3 and 3/4.

Step-by-step explanation:

Simplify (b^9)^3
A.b^24
B.b^6
C.b^27
D.b^9

Answers

Answer:

C. b^27

Step-by-step explanation:

By the definition of exponents

(b^9)^3=b^9*b^9*b^9

And since for any real numbers r,x, and y

r^x*r^y=r^((x+y))

This makes

(b^9)^3=b^9*b^9*b^9=b^{{9+9+9}}=\boxed{b^(27)}

Which is choice C.

Alternatively, we could use the identity

(r^x)^y=r^(xy)

in which case

(b^9)^3=b^((9*3))= \boxed{b^(27)}

which is the same answer.

Answer:b²⁷

Step-by-step explanation:

a child's pool is 3.8 feet wide 5.5 feet long and 1.2 feet deep how many gallons of water will the pool hold every 1ft is = 7.5 gallons

Answers

3.8×5.5×1.2=25.08
25.08×7.5=188.1

Nine more than half the number n is no more than -8. Find n. Write an inequality and then solve.

Answers

9+(1/2)n <_(less than or equal to) -8



Write simultaneous equations to describe the situation below, solve using substitution, and fill in the blanks.Alexa just became a personal trainer and is finalizing her pricing plans. One plan is to charge €61 for the initial consultation and then €32 per session. Another plan is to charge €66 for the consultation and €27 per session. Alexa realizes that the two plans have the same cost for a certain number of sessions. How many sessions is that? What is that cost?

For blank sessions, the cost is € blank on either plan.

Answers

x - the number of sessions
y - the cost

The system of equations:
y=61+32x \ny=66+27x

The solution:
y=61+32x \ny=66+27x \n \n\hbox{substitute 61+32x for y in the 2nd equation:} \n61+32x=66+27x \n32x-27x=66-61 \n5x=5 \ \ \ |/ 5 \nx=1 \n \ny=61+32x \ny=61+32 * 1 \ny=61+32 \ny=93 \n \n(x,y)=(1,93)

For 1 session, the cost is €93 on either plan.

Conditional statements I really need some help

Answers

p -> q is represented as "If you have a library card, then you can check out books"

~q -> ~p is represented as "If you cannot check out books, then you do not have a library card" This is contrapositive by definition.

q -> p is represented as "If you can check out books, then you have a library card" This is the converse

~p -> ~q is represented as "If you do not have library card, then you cannot check out books". This is the inverse

p <-> q is represented as "You have library card if and only if you can check out books". This is the biconditional.