1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Otrada [13]
4 years ago
9

Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below. Combine like terms: –10.9p + 3.9 = –9.18 Apply the next ste

ps to solve the equation. What is the solution? p =
Mathematics
1 answer:
irinina [24]4 years ago
7 0

Answer:

The next steps are to:

1) subtract 3.9 from both sides

2) divide both sides by -10.9

3) p = 1.2

Step-by-step explanation:

To solve a multi-step equation, you need to first combine like terms, which was done for your to get the equation:  -10.9p + 3.9 = -9.18.  At this point, you have a two-step equation where you need to use inverse (opposite) operations to isolate the variable.  Whatever you do to one side of the equation, you do to the other:

1) -10.9p + 3.9 - 3.9 = -9.18 - 3.19 or -10.9p = -13.08

2) -10.9p/-10.9 = -13.08/-10.9

3) p = 1.2

You might be interested in
Can someone give me the answers for number 3 ? With explanation please?
Olegator [25]
6^{51}6^{48} = 6^{51 + 48}= 6^{99}

(6^5)^7 = 6^ {5 \times 7} = 6^ {35}

6(6^{25}6^{14}) = 6(6^{25+ 14}) = 6(6^{39}) = 6^{39 + 1}= 6^{40}

\dfrac{6^{95}}{6^{19}} = 6^{95 - 19} = 6^{76}


4 0
4 years ago
Is −x+0+(−x)=0 a true statement?
dexar [7]
Let's see it...

-x+0+(-x)=0 ???

There is a + before the parenthesis, the sign is the same.

-x+0-x = 0

Since the x have equal sign, we add them to get -2x

We have 2x - 0 = 0

Move the zero to the right, so 2x = 0

Divide both for 2...

x = 0

Substitute 0 to x, so -0+0+(-0) = 0

0 = 0 the statement is true
6 0
3 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex
olga nikolaevna [1]

f(x_1,\ldots,x_n)=x_1+\cdots+x_n=\displaystyle\sum_{i=1}^nx_i

{x_1}^2+\cdots+{x_n}^2=\displaystyle\sum_{i=1}^n{x_i}^2=4

The Lagrangian is

L(x_1,\ldots,x_n,\lambda)=\displaystyle\sum_{i=1}^nx_i+\lambda\left(\sum_{i=1}^n{x_i}^2-4\right)

with partial derivatives (all set equal to 0)

L_{x_i}=1+2\lambda x_i=0\implies x_i=-\dfrac1{2\lambda}

for 1\le i\le n, and

L_\lambda=\displaystyle\sum_{i=1}^n{x_i}^2-4=0

Substituting each x_i into the second sum gives

\displaystyle\sum_{i=1}^n\left(-\frac1{2\lambda}\right)^2=4\implies\dfrac n{4\lambda^2}=4\implies\lambda=\pm\frac{\sqrt n}4

Then we get two critical points,

x_i=-\dfrac1{2\frac{\sqrt n}4}=-\dfrac2{\sqrt n}

or

x_i=-\dfrac1{2\left(-\frac{\sqrt n}4\right)}=\dfrac2{\sqrt n}

At these points we get a value of f(x_1,\cdots,x_n)=\pm2\sqrt n, i.e. a maximum value of 2\sqrt n and a minimum value of -2\sqrt n.

6 0
4 years ago
Rachel has tossed a fair coin ten times. It landed heads up every time. Is this POSSIBLE?
devlian [24]
Yes, although this is unlikely as every time she flips the coin there is a 50% chance of getting heads. Therefore, there is a possibility of her getting heads every time
4 0
4 years ago
The distance from the ladder to the end of the side is 5 ft. The distance from the top of the ladder to the bottom is 13 ft long
torisob [31]

Answer:

12 ft

Step-by-step explanation:

Note that you have a right triangle here, with hypotenuse 13 ft, and base 5 ft.  Using the Pythagorean Theorem, we find the height of the upper tip of the ladder as follows:

(13 ft)^2 = y^2 + (5 ft)^2.  Then y^2 = 144 ft^2, and y =height= 12 ft

6 0
3 years ago
Other questions:
  • if a bank buys a treasury bond from the federal reserve what will be the effect on the interest rate the bank charges its custom
    6·2 answers
  • Which measurement is the greatest 6kilometers 60meters 600centimeters or 6000 millime
    14·2 answers
  • Distance between the points B= (3,-1) and C= (7,-8) round to the nearest 100
    8·2 answers
  • Two fractions have a common denominator of 8. What could be the two fractions?
    6·2 answers
  • 1,000(x – 2) = 75,000
    11·2 answers
  • Pencils are sold in boxes of 10
    5·1 answer
  • Please help,
    15·1 answer
  • I have 70 emojis 3 smiling 26 laughing the rest are thumbs up. How many emojis are thumbs up?
    15·2 answers
  • ??Find the 350th term of the sequence??
    15·2 answers
  • ??????????????????????????????
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!