If a number is multiplied by 7, the result is the same as when 25 is added
to twice the number. Find the number.

Answer:

a. $2.12

b. $6.45

c. $38.81

Step-by-step explanation:

a.

I'll convert 30.24 and 7% into fractions.

756/25 * 7/100

Cross cancel 756 and 100 (GCF is 4)

189/25 * 7/25

Convert above into a single fraction

(189 * 7)/(25 * 25)

Multiply 189 by 7, then 25 by 25.

1323/625

Divide, then round to the nearest cent

$2.1168 ≈ $2.12 in sales tax

b.

Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.

1613/50 * 1/5

Multiply 50 by 5.

1613/250

Divide, then round to the nearest cent.

$6.452 ≈ $6.45 in tip money

c.

This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.

$30.24 + $2.12 + $6.45

$32.36 + $6.45

You pay a total of $38.81 for lunch.

Answer:

x = -1

Step-by-step explanation:

3(x + 1) = -2(x - 1 ) - 4

use the distributive property to get rid of the parentheses. on -2 and -1 they cancel each other out so it becomes + 2. now you have:

3x + 3 = -2x + 2 - 4 (+2 and -4 are like terms so they become -2. so technically its 3x + 3 = -2x -2)

get +3 on the other side by subtracting it from itself and then subtracting it from -2 so it becomes -5.

3x = -2x - 5

get -2x on the other side by adding 2x to itself then adding 2x to 3x so it becomes 5x

5x = -5

divide 5 from -5 and you get x = -1

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that [tex]P(A) = 0.67[/tex]

The probability she passes the second course is 0.7.

This means that [tex]P(B) = 0.7[/tex]

The probability she passes at least one of the courses is 0.79.

This means that [tex]P(A \cup B) = 0.79[/tex]

a. What is the probability she passes both courses

This is [tex]P(A \cap B)[/tex].

We use the following relation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]

0.58 = 58% probability she passes both courses

Answer

The area of the shaded region under the standard normal curve is 0.4834.

Step-by-step explanation:

A random variable X is said to have a normal distribution with mean, µ and variance σ².

Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z  N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Compute the area under the curve between -2.13 and 0 as follows:

Thus, the area of the shaded region under the standard normal curve is 0.4834.

Answer:

A = 706.5 ft 2

Step-by-step explanation:

A = π ( 15  ft ) 2

A = π 225ft 2

A = 225 π  ft 2

A = 225 ⋅ 3.14  ft 2

Answer:

4

Step-by-step explanation:

i dont wanna explain but the answer is 4

Answer:

B. 7ab²c

Step-by-step explanation:

The GCF of 21a²b^4c and 49ab²c³ is

7ab²c

Answer:

The correct answer is b.

Answer:

The point where the two lines intersect is the only solution. An inconsistent system has no solution.

Step-by-step explanation:

you have to study

Answer:

[tex]\huge\colorbox{red}{B)a coordinate pair}[/tex]

Step-by-step explanation:

see an example in the graph:

a system of linear equation which has a solution:

[tex]\begin{cases}x+y=5\\x-y=3\end{cases}[/tex]

we can see the graph of the system of linear equation that it one solution is a coordinate pair (4,1)

12 fishes are in the tank

A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?

Answer:

Step-by-step explanation:

12angelfish(8fish/3angelfish)=32 fish

Answer: No you are not wrong

Step-by-step explanation:

Answer:

1. The gallons are dependent because the number of gallons depends on how long the tank has been filled with water.

2. 5

3. Since we know that after 1 minute, there are 5 gallons of water, we multiply both 1 and 5 by 60. Then we get 300 gallons after 60 minutes.

Step-by-step explanation:

Answer: -0.9 as a decimal is -0.9

but if you meant as a fraction, then it's -9/10

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

There Are Several Ways To Write 0.9.

1) 0.9

2)0.90

3)9/10

4)90/100

Hope this was able to help you!

-TheAnimeCatUwU

#LearnWithBrainly

Answer:

Step-by-step explanation:

Number  of windows broken = 10% of 40

                                               [tex]= \frac{10}{100}*40\\= 4[/tex]

Answer:

4 windows are broken

Step-by-step explanation:

Ok so if you are rounding it to the nearest tenths place the answer would be 6

hope that's right!!

Answer:

well if you want to get to a whole number it would be 6

Step-by-step explanation:

you get that by well let's say it was 5.5 the second number is over half so it would round up to a whole of 6 but if it was 5.4 it would round down to 5.

I can explain better if needed

The value of C is -3 and the value of B is 5

Given the expression

(2x + 3)(4x − 1)

On expansion, ww will have:

(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3

(2x + 3)(4x − 1) = 8x^2 + 10x - 3

Hence the value of C is -3

For the expression (x + 2)(2x^2 + x − 1)

Expnd

(x + 2)(2x^2 + x − 1)  = 2x^3 + x^2 - x + 4x^2 + 2x - 2

(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2

Hence the value of B is 5

Learn more on expansion here: https://brainly.com/question/13602562

Hello!

[tex]\large\boxed{t = -8}[/tex]

We can find the value of t using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Plug in the given slope and coordinates into the appropriate places:

[tex]5 = \frac{2-t}{3-1}[/tex]

Simplify:

[tex]5 = \frac{2-t}{2}[/tex]

Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:

[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]

Answer:

The pair of numbers is (3,3) while the maximum product is 9

Step-by-step explanation:

The pairs of numbers whose sum is 6 starting from zero is ;

0,6

1,5

2,4

3,3

Kindly note 2,4 is same as 4,2 , so there is no need for repetition

So the maximum product is 3 * 3 = 9 and the pair is 3,3

Step-by-step explanation:

hope this helps :)

Answer:

The critical value that should be used in constructing the confidence interval is T = 1.337.

The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 17 - 1 = 16

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.337, which is the crical value.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.337\frac{0.069}{\sqrt{17}} = 0.022[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.268 - 0.022 = 0.246 cc/cubic meter

The upper end of the interval is the sample mean added to M. So it is 0.268 + 0.022 = 0.29 cc/cubic meter

The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter

Answer:

J

Step-by-step explanation:

A rhombus as both acute and obtuse angles that add up to 180 on each side

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

I have no clue.,...

.....

My work:

3x4=12

12+12=24

6-4=2

2+2+2=6

24÷6=4

Your answer:

4

Hope this helps!

-Alex

Answer:

18.

Step-by-step explanation:

3 x 4 = 12, 12 times 12 equals 144, 6 - 4 equals 2, and 2 times 2 times 2 is 8, and 144 / 8 = 18.

Answer:

For Half of Devon's Time you would put 172 divide by 2 equals 186. For comparison:

kelvin 223>86

Lori 55<86

Vanessa 265>86

Celia 112>86

Arnold 356>86

Step-by-step explanation:

Answer:

16 times larger

Step-by-step explanation: