Solve the following equation for x. 12^2 - 36x = 0

Answer:

30.03

Step-by-step explanation:

[(33.7)² - (15.3)²]^½

= [1135.69 - 234.09]^½

= [901.6]^½

= 30.02665483

= 30.03 (4sf)

Answer:

Pencils = 325 ; Pens = 975 ; Markers = 650

Step-by-step explanation:

Let :

Number of Pencils = x

Number of pens = y

Number of markers = z

2 times as many markers as pencils

z = 2x

3 times as many pens as pencils

y = 3x

x + y + z = 1950

Write z and y in terms of x in the equation :

x + 3x + 2x = 1950

6x = 1950

Divide both sides by 6

6x / 6 = 1950 / 6

x = 325

Number of pencils = 325

Pens = 3 * 325 = 975

Markers = 2 * 325 = 650

Pencils = 325 ; Pens = 975 ; Markers = 650

Answer:

Male & action movie among a group of total 479

Step-by-step explanation:

We only choose male from action movie category so:

p = 105/ 479 = 0.22

The probability that a randomly chosen person from this group is male and attended an action movie will be 0.22. Then the correct option is C.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

This table shows how many male and female students attended two different movies.

                   Action      Drama          Total

Mala             105            124              229

Female         99             151               250

Total            204           275              479

Then the probability that a randomly chosen person from this group is male and attended an action movie will be

Favorable event = 105

Total event = 479

Then the probability will be

P = 105 / 479

P = 0.219

P ≈ 0.22

Then the correct option is C.

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Answer:

196

Step-by-step explanation:

We will use the formula:

Surface Area of A / Surface area of B = (Height of A /Height of B)^2

49/S2 = (4/8)^2

49/S2 = 1/4

S2 = 196

Answred by Gauthmath

9514 1404 393

Answer:

  9

Step-by-step explanation:

If x is the number of 10-inch stones, then (x-1) is the number of 5-inch stones, and the total width is ...

  10x +5(x-1) = 130

  15x -5 = 130 . . . . . . . eliminate parentheses

  15x = 135 . . . . . . add 5

  x = 9 . . . . . . . divide by 15

Wesley will need 9 10-inch stones for one row.

Answer:2

Step-by-step explanation:

Answer:

a = 9

Step-by-step explanation:

The given trinomial is :

[tex]x^2-6x+\_\_\__[/tex]

let the blank is a.

So, we need to find the value of a so that it results in a perfect square trinomial.

We know that, [tex](m-n)^2=m^2-2mn+n^2[/tex]

So,

[tex]x^2-6x+a=x^2-2(1)(3)+3^2\\=(x-3)^2[/tex]

So, the value of a is 9. If a is 9, then only it would be a perfect square trinomial.

9514 1404 393

Answer:

  0.75

Step-by-step explanation:

You know that ...

  P(S or T) = P(S) +P(T) -P(S and T)

When events are mutually exclusive, P(S and T) = 0. Then ...

  P(S or T) = 5/8 + 1/8 = 6/8 = 3/4

  P(S or T) = 0.75

Answer:

-0.316227766

Step-by-step explanation:

0.316227766

87 is the mean.

To find the mean, you must

- add all of the numbers

- divide by the amount of numbers given

In this case, you would want to do (86 + 80 + 95)/3. This would give you an answer of 87.

Step-by-step explanation:

Which correlation coefficient indicates the data set with the strongest linear correlation?

0.66

The correlation coefficient indicates the data set with the strongest linear correlation is -0.83

"It measures the strength of the relationship between two relative variables."

"When the rate of change is constant between two variables then it is said to be linear correlation."

For given example,

We have been given correlation coefficients.

We need to find the correlation coefficient that indicates the data set with the strongest linear correlation.

We know, the correlation coefficient lies between -1 to 1.

So, the strongest linear correlation is indicated by a correlation coefficient of -1 or 1.

From given correlation coefficients,

-0.83 is close to -1.

Therefore, the correlation coefficient indicates the data set with the strongest linear correlation is -0.83

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Answer:

The number is 448.

Step-by-step explanation:

Hope it helps

Answer:

63°

Step-by-step explanation:

Answer:

it should be the height of the building time 1/2

Step-by-step explanation:

let me know if its correct or incorrect we'll I hope this help you

Factored form: (x + 1/5)(x + 1/4)

Foil: x^2 + 1/4x + 1/5x + 1/20

Simplify: x^2 + 9/20x + 1/20

Hope this helps!

Answer:

...

Step-by-step explanation:

seeee the above picture

The equation of the reflected function across the y-axis is g(x) = -4x - 8.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) = 4x - 8 is reflected across the y-axis.

The function g(x) will be given by putting the negative x in place of x. Then the reflected function is obtained.

g(x) = -4x - 8

Then the equation of the reflected function across the y-axis is g(x) = -4x - 8.

The graph of the reflected graph is given below.

More about the function link is given below.

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Answer:

162.4 miles

Step-by-step explanation:

We can write a ratio to solve

116 miles            x miles

----------------- = ------------

5 gallons           7 gallons

Using cross products

116*7 = 5x

Divide by 5

812 /5 = 5x/5

162.4 =x

162.4 miles

Answer:

The unit price for 1 T-shirt is about $2.74.

Step-by-step explanation:

Set up an equation:

Variable x = unit price for 1 T-shirt

169x = 463.45

Divide both sides by 169:

x = 2.742307...

Round to the nearest cent:

x = 2.74

Answer:

54% ...

Step-by-step explanation:

this is the answer I guess

The confidence level that produces the widest interval is the one with the highest percentage, which is 54%.

Option B is the correct answer.

A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.

It measures the unusual or extreme a particular data point is compared to the rest of the distribution

We have,

The width of a confidence interval is proportional to the critical value of the corresponding confidence level.

The critical value is determined by the standard normal distribution or t-distribution, depending on the sample size and whether the population standard deviation is known.

In general,

The wider the confidence interval, the less precise the estimate of the population means.

Therefore, we want to choose the confidence level that produces the widest interval, which corresponds to the largest critical value.

For a given sample size,

The critical value increases as the confidence level increases.

For example, the critical value for a 95% confidence level is larger than the critical value for a 90% confidence level.

Therefore,

The confidence level that produces the widest interval is the one with the highest percentage, which is 54%.

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Answer:

Use inequalities.

At certain x values.

Step-by-step explanation:

[tex]3 \leqslant x \leqslant 6[/tex]

[tex] - \infty < x < \infty [/tex]

[tex]x = 6[/tex]

Answer:

[tex]A" = (7,-2)[/tex]

[tex]B" = (10,0)[/tex]

[tex]C"= (12,-3)[/tex]

Step-by-step explanation:

Given

[tex]A = (4,2)[/tex]

[tex]B = (7,0)[/tex]

[tex]C =(9,3)[/tex]

a: Reflect over x-axis

The rule of this is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]A' = (4,-2)[/tex]

[tex]B' = (7,0)[/tex]

[tex]C' = (9,-3)[/tex]

b: Shift 3 units left

The rule of this is:

[tex](x,y) \to (x+3,y)[/tex]

So, we have:

[tex]A" = (4+3,-2)[/tex]

[tex]A" = (7,-2)[/tex]

[tex]B" = (7+3,0)[/tex]

[tex]B" = (10,0)[/tex]

[tex]C"= (9+3,-3)[/tex]

[tex]C"= (12,-3)[/tex]

the answer is 1/12

the first rolling a 4 has a 1/6 chance of happening and half of the numbers on the die are odd, so 1/6*1/2=1/12

Answer:

It is E. radicand

Step-by-step explanation:

Answer:

Radicand

Step-by-step explanation:

Radicand is the number found inside the radicals

Example:

[tex]\sqrt[4]{5} ; 2\sqrt[4]{5}[/tex]  are like terms

5 -> radicand and 4 is the index

Answer:

x=27

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

90 + x+15 + 2x-6 = 180

Combine like terms

3x+99=180

Subtract 99 from each side

3x+99-99=180-99

3x =81

Divide each side by 3

3x/3 = 81/3

x=27

Answer:

approximately 12.7

Step-by-step explanation:

using phythagoras rule,

hyp²=opp²+ adj²

15²=x² + 8²

225=x² + 64

x²=225 - 64

x²= 161

x=12.7

OR

sin ø= 8/15

sin ø=0.53333333

ø=sin(inverse) of 0.53333333

ø=0.563⁰

therefore angle opposite 8 is 0.563

tan 0.563= 8/x

x tan 0.563=8

x= 8/tan 0.563

x= 12.7

[tex]\frac{122}{10}*(-\frac{10}{61} )[/tex]Let's start by calculating their values one by one, and then we can match them.

Starting with [tex]-2\frac{2}{5} \div\frac{4}{5}[/tex], we can simplify this more by adding [tex]2*5[/tex] to the nominator. That gives us [tex]-\frac{12}{5} \div\frac{4}{5}[/tex]. Now we can apply the Keep-Change-Flip rule. Keep the first fraction as it is, change the division sign into multiplication, flip the second fraction. [tex]-\frac{12}{5} *\frac{5}{4}[/tex]. We apply fraction multiplication which is simply multiplying the first nominator by the first nominator and the same for the dominator.  and the result is [tex]-\frac{60}{20}[/tex] or simply -3.

[tex]-2\frac{2}{5} \div\frac{4}{5} = -3[/tex]

Now, we calculate the second one, [tex]-12.2\div(-6.1)[/tex]. This can be re-written as [tex]-\frac{122}{10}\div(-\frac{61}{10} )[/tex]. As we did in the previous part we apply the  Keep-Change-Flip, this will give us [tex]-\frac{122}{10}*(-\frac{10}{61} )[/tex]. Do the multiplication and the result will be [tex]\frac{1220}{610}[/tex], we can divide both the nominator and dominator by 10 which will result [tex]\frac{122}{61}[/tex] and finally we know that [tex]61*2=122[/tex] and we can divide both of them again by 61 which will result [tex]\frac{2}{1} =2[/tex]

[tex]-12.2\div(-6.1)=2[/tex]

You can try solving the rest by yourself but here's is the final answer for them both:

[tex]16\div(-8)=-2\\3\frac{3}{7} \div1\frac{1}{7} =3[/tex]

Answer:

D. When the purchase is greater than $350.

Step-by-step explanation:

Stores prefer to use credit card for customer whose purchase are worth high. The Barnes store manager prefer that customers use credit card for most purchases. When customers buy more than worth of $350, the store manager will prefer to use credit card.

Answer:

B

Step-by-step explanation:

Answer:

4×10⁶ is the answer.........

Answer:

[tex]4 \times {10}^{6} [/tex]

Step-by-step explanation:

[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } [/tex]

[tex] \frac{4 \times {10}^{24} }{ {10}^{18} } [/tex]

[tex] = 4 \times {10}^{6} [/tex]