Pex Algebra PLS HELP

simplify 3^5 x 3^4

Answers

Answer 1
Answer: 3 x 3 x 3 x 3 x 3 = 243
3 x 3 x 3 x 3 = 81
243 x 81 = 19,683
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Solve the equation using the Zero­Product Property. 6x(3x + 1) = 0

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\displaystyle \n 6x(3x + 1) = 0 \n \n \Longrightarrow ~~ 6x = 0~~\texttt{or}~~3x+1=0 \n \n 6x = 0 ~~\Longrightarrow ~~ x_1 = (0)/(6) = \boxed{0} \n \n 3x+1 = 0 ~~\Longrightarrow ~~ 3x = -1 ~~\Longrightarrow ~~ x_2 = (-1)/(3) = \boxed{-(1)/(3)} \n \n



4. Here are the ingredients needed to make 12 shortcakes.Shortcakes
Makes 12 shortcakes
50 g of sugar
200 g of butter
200 g of flour
10 ml of milk
Liz makes some shortcakes.
She uses 25 ml of milk.
(a) How many shortcakes does Liz make?

Answers

The answer is 30 shortcake

Select all that apply.Which of the following expressions could you use to estimate 47% of 89?


1/2 · 90
0.5 · 90
0.47 · 89
90/2

Answers

Given: 
47% of 89

Exact solution is : 0.47 * 89 = 41.83

Estimates: you round the number to the nearest tens.
47% can be 50% ; 89 can be 90

0.50 * 90 = 45

50% is the same as 1/2
1/2 * 90 = 45

90/2 is also applicable to estimate for the above figure. 90/2 = 45

Answer:

The first and second one

Step-by-step explanation:

Which of the following represents "next integer after the integer n"?On
On + 1
O2n

Answers

Answer:

Option B.

Step-by-step explanation:

Integer: A non fractional complete number is known as integer. It can be either positive or negative or zero.

For examples : ...,-3,-2,-1,0,1,2,3,...

It is a clear that the difference between two consecutive integers is 1. It means we have to add 1 in the integer to get the next integer.

We need to express "next integer after the integer n" mathematically. So, we need to add 1 in n.

Required expression =n+1

Hence, the next integer after the integer n is n+1.

Therefore, the correct option is B.

jill is making a long cape she needs 4 1/3 yards of blue fabric for the outside of the cape she needs 3 2/3 yards of purple fabric for the lining of the cape

Answers

Answer:

Jill needs 8 yards of fabric to make a cape.

Step-by-step explanation:

Givens

  • Jill needs 4 1/3 yards of blue fabric for the outside of teh cape.
  • Also she needs 3 2/3 yards of purple fabric for the lining.

In order to know the total number of yards Jill needs to make a cape, we first need to transform each mixed number into fraction. We do that multiplying the whole part with the denominator and then adding it to the numerator, as follows

4(1)/(3)=(13)/(3) \n3(2)/(3)=(11)/(3)

Then, we sum both fractions

(13)/(3) +(11)/(3)=(13+11)/(3)=(24)/(3) =8

Therefore, Jill needs 8 yards of fabric to make a cape.

Hey there, just subtract 4 1/3 from 3 2/3 to get your answer. 4 1/3=13/3 and 3 2/3=11/3, 13*3-11*3/3*3=39-33/9=6/9, 6/9 simplified is 2/3

Manny makes dinner using 1 box of pasta and 1 jar of sauce. if pasta is sold in packages of 6 boxes and sauce is sold in packages of 3 jars, what is the least number of dinners that Manny can make without any supplies leftover?

Answers

You need to find the least common multiple of 6 and 3. This the minimum whole number that contains the number of boxes in one package of pasta and the number of jars in one package of sauce. t he least common multiple of 6 and 3 is 6. This means that Manny can make 6 dinners, which will be made with 1 package of pasta (6 boxes ) and two packages of sauce (2 * 3 = 6 jars).