MATHEMATICS MIDDLE SCHOOL

Solve open parentheses square root of 7 close parentheses to the 6 x power = 49x−6.x = negative 21 over 2
x = −6
x = negative 6 over 5
x = −12

Answers

Answer 1
Answer:

Answer:

Option D is correct.

x = -12

Step-by-step explanation:

Solve:  (√(7))^(6x) = 49^(x-6)

We can write 49 as:

49 = 7 \cdot 7 = 7^2

using exponent rules:

\sqrt[n]{a^m}=a^{(m)/(n)}

(a^m)^n = a^(mn)

Apply this rules on the given equation:

((7)^{(1)/(2)})^(6x) = (7^2)^(x-6)

7^{(6x)/(2)} = 7^(2(x-6))

Simplify:

7^(3x) =7^(2x-12)

On comparing both sides we get;

3x = 2x-12

Subtract 2x from both sides we get;

x = -12

Therefore, the value of x is -12
Answer 2
Answer: The equation is not setup properly, possibly it is your teacher's fault.

From external research, I would say the answer is x = -12.

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HELP 12 POINTS !!! Which situation about Connor’s commission best represents the inequality 40 + 10x ≥ 100?A. Connor earns $10 per day plus a $40 commission on each item he sells. How much will he earn if he sells 100 items?B. Connor earns $40 per day plus a $10 commission on each item he sells. How much will he earn if he sells 100 items?C. Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn at least $100?D. Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn no more than $100?

there are about 100 million smartphones in the U.S. your teacher has one smartphone. what share of US smartphones does your teacher have? express your answer using a negative power of 10.

Answers

100 000 000 = 10^(8)

(1)/(100 000 000) = 10^(-8)

1. which survey question is biased?A. which is your favorite, pizza or spaghetti?
B. Which subject is your favorite, math which is easy, or English, which is difficult?
C. Who do you live with, both parents, mother only, father only, or another guardian?
D. Should children be allowed to stay up as late as they would like?*****

2. Game wardens use experiments to help determine the number of fish in a lake. Suppose 80 fish are caught, tagged, and released back into the lake. Two weeks later 120 fish are caught, 3 of which are found to have tags. Using this information estimate the number of fish in the lake.
A. 3,200
B. 600
C. 120
D. 280*****

Answers

I believe that for the first question B is biased because it throws an opinion in .

Answer:

B and 280

B has an opinion. All you need to do is add. You had it right.

Maren walks 3/5 miles in 24 minutes at a steady pace.  How long does it take her to walk 2 miles.

Answers

It would take Maren 80 minutes, or 1 hr and 20 min. Just divide the 24 minutes by the 3 in the numerator, then find out how many 1/5's it takes to get 2 and multiply that by what you got as your quotient
With this, you have to set up a proportion. So find the decimal of 3/5 and set that equal to 24. 
So this is what your proportion should look like: .6/24=x/2
Now you find how much she walks in one minute, so you divide .6 by 24 which is .025 of a mile. So now it will be .025 mpm. So now you multiply that by two.

She walks .05 miles in two minutes.

A restaurant offers hamburgers with one, two, or three patties. Let X represent the number of patties a randomly chosen customer orders on their hamburger. Based on previous data, here's the probability distribution of X along with summary statistics:X=# of patties 1 2 3
P(X) 0.40 0.50 0.10
Mean: μX​=1.7
Standard deviation: σX​≈0.67
The total price of each burger is set at $2 per patty. Let T represent the total price a randomly chosen customer pays for their burger. Find the mean of T

Answers

Answer:

The mean price a randomly chosen customer pays for her or his burger is US$ 3.40

Step-by-step explanation:

Let's find out the mean of T (total price a randomly chosen customer pays for their burger), this way:

Mean of T = 0.4 * $ 2 + 0.5 * $ 4 + 0.1 * $ 6

Mean of T = 0.8 + 2 + 0.6

Mean of T = US$ 3.40

The mean price a randomly chosen customer pays for her or his burger is US$ 3.40

Answer: 3.4 1.34

Step-by-step explanation: khan

Ms smith has 28 sixth graders and 35 seventh graders for math. If she wants to break the two grades into identical groups without any students left over how many students will be I each group?

Answers

Ms Smith has 28 sixth graders and 35 seventh graders

she wants to break them down into groups with each group having the same number of students from each grade

for this we have to find the highest common factor of 28 and 35 to see by which both 28 and 35 are divisible by

factors of 28 and 35 are as follows

28 - 1,2,4,7,14,28

35 - 1,5,7,35

the highest common factor both numbers is 7

therefore Ms Smith can break them down into 7 groups

each group will have

28 / 7 = 4 sixth graders

35 / 7 = 5 seventh graders

so each group will have 4 sixth graders and 5 seventh graders

so in each group there will be 4 + 5 = 9 students


she will break them down into 7 groups

each group has 9 students
In this question, there is two class with a different number of students that need to be divided equally. Then you need to determine the number of greatest common factor (GCF) for both numbers. The number factor would be: 
28= 7 x 2 x 2
35= 7 x 5

The only common factor in both numbers is 7, so making 7 groups will be the answer.

Please Please Please Help in Questions 24 and 25!!!!! PLEASE!!!!

Answers

a, b and c are the zeros of a polynomial: w(x) = (x - a)(x - b)(x - c).


24.\nw(x)=(x-6)[x-(-5-2i)][x-(-5+2i)]\n\nw(x)=(x-6)(x+5+2i)(x+5-2i)\n\nw(x)=(x-6)[(x+5)+2i][(x+5)-2i]\n\n\text{use}\ a^2-b^2=(a-b)(a+b)\n\nw(x)=(x-6)[(x+5)^2-(2i)^2]\n\n\text{use}\ (a+b)^2=a^2+2ab+b^2\ \text{and}\ (ab)^n=a^nb^n\n\nw(x)=(x-6)(x^2+2(x)(5)+5^2-2^2i^2)\n\nw(x)=(x-6)(x^2+10x+25-4(-1))\n\nw(x)=(x-6)(x^2+10x+25+4)

w(x)=(x-6)(x^2+10x+29)\n\n\text{use distributive property}\ a(b+c)=ab+ac\n\nw(x)=(x)(x^2)+(x)(10x)+(x)(29)+(-6)(x^2)+(-6)(10x)+(-6)(29)\n\nw(x)=x^3+10x^2+29x-6x^2-60x-174\n\n\text{combine like terms}\n\nw(x)=x^3+(10x^2-6x^2)+(29x-60x)-174\n\n\boxed{w(x)=x^3+4x^2-31x-174}


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