Samir just finished renovating a house during the renovation he added a steel beam as a support the steel beam was 15 feet long and cost $135 complete the statement by selecting the correct dollar amount from the provided list

the cost of the beam was _______per yard​

9514 1404 393

Answer:

  x = 16/3

Step-by-step explanation:

a) The rewritten equation is ...

  \(\dfrac{x-2}{x+8}=\dfrac{x-1}{x+12}\)

__

b) The solution can be found as ...

  \(\dfrac{x-2}{x+8}-\dfrac{x-1}{x+12}=0\\\\(x-2)(x+12)-(x+8)(x-1)=0 \qquad\text{numerator of the difference}\\\\(x^2+10x-24)-(x^2+7x-8)=0\\\\3x-16=0\qquad\text{simplified}\\\\x=\dfrac{16}{3}\qquad\text{one solution}\)

The solution set is {16/3}.

_____

The applicable rule of logarithms is ...

  log(a) -log(b) = log(a/b)

Answer:

the answer is x=16/3

Step-by-step explanation:

:))

Answer:

The original price of the sweater was $28

Step-by-step explanation:

To find out the answer to this problem you need to first convert the percent into a decimal which would be 0.4 and then to solve the problem in one step you need it to be 140% which would be 1.4 as a decimal. Then you need to multiply 20 by 1.4 which gives you 28 and 28 would be the total cost of the shirt at it's regular price.

Answer:

$50

Step-by-step explanation:

Sale on sweater = 40% .

Money saved = $20 .

Let original price be x then ,

=> 40% of x = $20

=> 40x/100 = $20

=> x = $20 *100/40

=> x = $ 50

Answer:

Not similar

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

Eliminate the choices.

Not SSS, as you are only given 2 out of 3 side lengths, and you need an angle measure to find the third length

Not AA, since we cant be sure

But seeing as there is one angle that corresponds for both triangles and are in-between two sides, it would be SAS (its not good to pressume, but thats all you can do )

Answer: 24

Step-by-step explanation:

7+(24/6)+(3²/3)+10

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

7+24/6+3^1+10      Also when I say 3^1 I mean 3 and the exponent is 1

Divide 24 by 6 to get 4.

7+4+3^1+10

Add 7 and 4 to get 11.

11+3^1+10

Calculate 3 to the power of 1 and get 3.

11+3+10

Add 11 and 3 to get 14.

14+10

Add 14 and 10 to get 24.

If each day a player of climbing shoes cost 84 it cost 169 to buy six days of climbing one pair of climbing shoes and one harness. The amount that the harness cost is $25.

Cost of climbing = ( $10×6)

Cost of climbing = $60

Harness cost = Total cost  - (Cost of climbing  + Cost of shoes)

Harness cost =$169 - ($60 + $84)

Harness cost =$169 - $144

Harness cost =$25

Therefore $25 is the harness cost.

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The alternative hypothesis is Ha : μa ≠ μb Ha : μa - μb ≠ 0

Since they want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant, it means that it is a two directional test. Also called a two tailed test. The hypothesis would be as follows:

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

By using the appropriate symbols, it becomes

The null hypothesis is

H0 : μa = μb H0 : μa - μb = 0

The alternative hypothesis is

Ha : μa ≠ μb Ha : μa - μb ≠ 0

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Answer:

a

Step-by-step explanation:

-4x3=-12x

-4x-2=8x

-4x4=-16y

8+-12=-4x

-4x-16y

Answer:

A

Step-by-step explanation:

multiply each thing in the parenthesis by -4

-4×3x = -12x

-4×-2x = 8x

-4×4y = -16

-12x + 8x - 16y

combine like terms

-4x - 16y

Answer: yes.

Step-by-step explanation:

adding 10 is moving the decimal point once to the right, so yes.

move the decimal point in 0.007 once to the right (multiply it by 10) and you get 0.07

Answer:

Yes

Step-by-step explanation:

Solution

We are required to find the area of the shaded region in the figure.

The shaded region is a rectangle.

The length = 15ft - 4ft = 11ft

The width = 14ft - 6ft = 8ft

Thus, the area of the figure = Lenght x width

Option C is the answer

pi * d/2 + 5*2+7

It is a half circle

10.99+10+7

27.99

Answer:

Negative numbers cannot have square roots.

Step-by-step explanation:

Anything multiplied by itself will always equal a positive number, not negative.

Answer:

12.6

Step-by-step explanation:

15/2 = 2.4

15-2.4= 12.6

Answer:

12.6

Step-by-step explanation:

YOu just subtract 15 and 12/5

Answer:

70  cm

Step-by-step explanation:

Answer:

70 cubic feet

Step-by-step explanation:

First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:

2*5=10

Next multiply 10 by the 7 feet tall. You can write this like:

10*7=70

70 cubic feet is the answer

The statement "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality" best describes the process used to solve the equations.

In the equation -3x + 6 = 21, to isolate the variable x, we subtract 6 from both sides of the equation, which yields -3x = 15. Then, we divide both sides by -3 to solve for x, resulting in x = -5. This process is applicable to equations where we aim to find the exact value of the variable.

Similarly, in the inequality -3x + 6 < 21, we want to find the range of values for x that satisfy the inequality. By subtracting 6 from both sides, we obtain -3x < 15.

However, since we performed the same operation on both sides of the inequality, the direction of the inequality sign remains the same.

Thus, the correct inequality is -3x < 15. To isolate x, we divide both sides by -3. However, since we reversed the inequality sign, we must also reverse it again, resulting in x > -5.

This process allows us to determine the range of values for x that satisfy the inequality.

Therefore, the statement accurately describes the process for solving both the equation and the inequality, highlighting the significance of reversing the inequality sign when manipulating inequalities.

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Answer:

x ≥ 1

Step-by-step explanation:

Solve the inequality by solving for x.

Solve:

-4(2x + 1) ≤ 3(x - 5)

Use the distributive property.

-8x - 4 ≤ 3(x - 5)

-8x - 4 ≤ 3x - 15

Subtract 3x from both sides.

-11x - 4 ≤ -15

Add 4 to both sides.

-11x ≤ -11

Divide both sides by -11, also flip the inequality since you're dividing by a negative number.

x ≥ 1

Your final answer would be x ≥ 1

Answer:

x ≥ 1

Step-by-step explanation:

Use the properties of inequalities and real numbers to solve the given inequality for x.

For the final step, divide both sides by -11. Since this is division by a negative number, the direction of the inequality should flip.

So, the solution to the inequality is x ≥ 1.

a.2

b.4

c.3

d.1

I think it's right

Subtract 5 → 2. x-5 = 12, Divide by 5 → 4. x/5 = 12, Multiply by 5 → 3. 5x = 12 and Add 5 → 1. x+5 = 12.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

a) Subtract 5 → 2. x-5 = 12

b) Divide by 5 → 4. x/5 = 12

c) Multiply by 5 → 3. 5x = 12

d) Add 5 → 1. x+5 = 12

Therefore, a) → 2, b) → 4, c) → 3 and d) → 1.

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\(x {}^{n} .x {}^{m} = x {}^{n + m} \)

\(x { }^{ \frac{1}{2} } .x {}^{ \frac{ - 1}{6} } .x {}^{ \frac{ - 5}{2} } = x {}^{ \frac{1}{2} - \frac{1}{6} - \frac{5}{2} } \)

\(x {}^{ \frac{3 - 1 - 15}{6} } =x {}^{ \frac{ - 13}{6} } \)

To change our exponent to positive:

\(x {}^{ \frac{ - 13}{6} } = \frac{1}{x {}^{ \frac{13}{6}}} = \frac{1}{ \sqrt[6]{x {}^{13} } } = \frac{1}{x \sqrt[6]{x} } \)

Step-by-step explanation:

Answer: 21,135.08

Step-by-step explanation: because

22,450.89+5,676.63+15 ,670.25+10,067.15=53,864.92

so now 75,000 - 53,864.92 = 21,135.08 that's it

Answer:

you can make 10 servings

Step-by-step explanation:

Answer: When the denominator of a fraction is equal to 1 and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Ninalyux is correct.  To explain, here's this:

If you came across the fraction \(\frac{2}{1}\), you can read it as two over one, or two divided by one.  Now let's just stop here.  You can read it as two divided by one, but what is two divided by one? The answer: two.  Therefore, you can even read the fraction by just saying two.

Other examples:

\(\frac{5}{1}\)   Reads as: five, five over one, five divided by one.

*Any fraction with the denominator of one, as a whole number it would be the numerator*

Meaning: \(\frac{5}{1}\) equals 5.

If this is confusing, let me know!  I'm here to help!

Answer:

$840.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain: { - 25, - 3, 20, 21, 23 }

The range: { - 21, - 14, 4, 8, 13 }

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

Answer:

85-89

Step-by-step explanation:

What is the question?

Step-by-step explanation:

Answer:

so you need to find the cost of one pen, which ever is cheaper pick that one

Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2