Simplify 7(x - 2) - 4x + 9. O A. 3x+7 O B. 3x - 5 O C. -11X- 11 D. -21 x + 49

Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. After how many w

ZanzabumX [31]

Answer:

After 33 weeks.

Step-by-step explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

$20w+40=700$

Let us subtract 40 from both sides of equation.

$20w+40-40=700-40$

$20w=660$

Upon Dividing both sides of our equation by 20 we will get,

$\frac{20w}{20}=\frac{660}{20}$

$w=\frac{660}{20}$

$w=33$

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.

6 0

3 years ago

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

2 years ago

Based on a poll, among adults who regret getting tattoos, 1212% say that they were too young when they got their tattoos. Ass

photoshop1234 [79]

Answer:

0.3165

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adults sampled = 9

x = Number of successes required = number of selected adults that say they were too young to get tattoos = 0

p = probability of success = probability of an adult that regrets getting a tattoo saying they were too young to get the tattoo = 12% = 0.12

q = probability of failure = 1 - p = 1 - 0.12 = 0.88

P(X=0) = ⁹C₀ (0.12)⁰ (0.88)⁹⁻⁰

P(X=0) = 0.31647838183 = 0.3165

Hope this Helps!!!

7 0

3 years ago

Tonya has a small picture with a length of inches. She wants to enlarge the picture by a factor of 7 and frame it. Which of the

Elena L [17]

Enlarge the picture 7 times by inches

3 0

3 years ago

Help please And how would you get the answer need asap

Rashid [163]

No the 2 equations are not equal
the -1/10, -1/10 can't be subtracted from 1 3/10g
they are not like terms
the proper equation is
1/5g converts to 2/10g
2/10g - 1g + 1 3/10 g = 5/10g or 1/2g
1/2g - 2/10 is final equation

4 0

3 years ago