What is the value of x in the equation 2/3 (1/2×+ 12) = 1/2(1/3x +14) - 32

Answer:

H = 20

Step-by-step explanation:

Looks like you got everything correct. Nice!

For your last one, let's get H by itself. Since 1/2 is division, let's multiple it by 2 to turn it into one. Because you multiply by 2 on the left side, you have to on the right side also...

(1/2)(2) = 1

(1)(h) = h

On the other side, 10(2) = 20.

Combining the 2, H = 20

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

4(5 - 7x) = 6 - 12

20-28x=6-12x

Subtract 20 from both sides

20-28x-20=6-12x-20

Simplify

-28x=-12x-14

Add 12x to both sides

-28+12x=-12x=-12x-14+12x

Simplify

-16x=-14

Divide both sides by -16

-16/-16 = -14/-16

Anw

7/8= 0.875

Answer:

3/5

Step-by-step explanation:

sinA = opposite/hypotenuse = BC/AC = 21/35 = 3/5

Answer:

How about 100 adults and 100 students?

Step-by-step explanation:

Could you respond?

Answer:

all real numbers

Step-by-step explanation:

if you subtract x from both sides, you get x=x. This is true for basically any number

Answer:

\(m=\frac{5}{3}\\\\m =1\frac{1}{3}\)

Step-by-step explanation:

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\\\left(x_2,\:y_2\right)=\left(3,\:5\right)\\\\m=\frac{5-0}{3-0}\\\\Simplify\\\\m=\frac{5}{3}\\\\m =1\frac{1}{3}\)

The transformation rule in the given image is expressed as:

Rotation of 270° counterclockwise about the origin

From the given image, the coordinates of the trapezium before transformation are:

L(-7, -2)

M(-5, -2)

N(-3, -4)

Q(-8, -5)

The coordinates of the trapezium after transformation are:

L'(-2, 7)

M'(-2, 5)

N'(-4, 3)

Q'(-5, 8)

It is very clear that the transformation rule here is:

(x, y) → (y, -x)

This depicts a rotation of 270° counterclockwise about the origin

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The vet tech and his colleagues should be getting overtime pay because they are working more than 40 hours per week.

An overtime is a term that refers to the extra time that a worker works in a company. Usually this time is paid in addition to her salary.

FLSA stands for the Fair Labor Standards Act. This law establishes the parameters and guidelines that an employer must follow to pay their employees' salaries.

A very important aspect of this law is that it establishes exceptions for those employees who must receive overtime pay.

According to these guidelines, the veterinary technician must receive overtime pay because a weekly shift of more than 40 hours is required.

According to the Fair Labor Standards Act (FLSA) the employer must pay their employees overtime once they are required to work more than 40 hours per week. Once the employee works more than that time, he must start counting the hours he worked extra to collect an additional cost.

In this case, the vet tech's employer should pay him for the 5 hours of overtime he is doing. Adicionalmente,

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Let the cost of the bicycle be $x

Since Briana needs $73 more, the present amount of money she has will be $(x-73)

Since Molly needs $65 more, the present amount of money she has will be $(x-65)

Now, combining what they have now, they will be able to buy just one bicycle

This means that;

x - 73 + x -65 = x

2x - 138 = x

2x - x = 138

x = $138

The cost of the bicycle is $138

it literally says just count them all lol just like this we see there are 9 squares correct? and there are 12 circles so the ratio is 9:12 put 9 in the first box and 12 in the next just ask me if you need more help

Answer:

Step-by-step explanation:

7 horses were left

Answer:

Step-by-step explanation:

Hey, again!

So, first, get the 43 isolated. So, add -9p on both sides.

This will give you 4p+11>43

Next, subtract 11 on both sides.

You will get 4p>32

Next, divide 4 on both sides

This  will give you p>8.

Hope this helps!!!

Answer:

Step-by-step explanation:

n = 12

Mean = (4.58 + 5.72 + 4.77 + 4.76 + 5.19 + 5.05 + 4.80 + 4.77 + 4.75 + 5.02 + 4.74 + 4.56)/12 = 4.8925

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (4.58 - 4.8925)^2 + (5.72 - 4.8925)^2 + (4.77 - 4.8925)^2 + (4.76 - 4.8925)^2 + (5.19 - 4.8925)^2 + (5.05 - 4.8925)^2 + (4.80 - 4.8925)^2 + (4.77 - 4.8925)^2 + (4.75 - 4.8925)^2 + (5.02 - 4.8925)^2 + (4.74 - 4.8925)^2 + (4.56 - 4.8925)^2 = 1.122225

Standard deviation = √(1.122225/12

s = 0.31

a) Point estimate = sample mean = 4.8925

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

Margin of error = z × s/√n

Where

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 12 - 1 = 11

b) Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.201

Margin of error = 2.201 × 0.31/√12

= 0.197

95% confidence interval = 4.8925 ± 0.197

Upper limit = 4.8925 + 0.197 = 5.0895

Lower limit = 4.8925 - 0.197 = 4.6955

We are 95% confident that the population mean of the rain water ph lies between 4.6955 and 5.0895

c) For 99% confidence level, z = 3.106

Margin of error = 3.106 × 0.31/√12

= 0.278

99% confidence interval = 4.8925 ± 0.278

Upper limit = 4.8925 + 0.278 = 5.1705

Lower limit = 4.8925 - 0.278 = 4.6145

We are 99% confident that the population mean of the rain water ph lies between 4.6145 and 5.1705

d) The interval gets wider as the confidence level is increased. This is logical since the test score is higher for 99% and therefore, increases the range of values. Since we want to be more confident, the range of values must be extended.

Answer:

60 ounces

Step-by-step explanation:

İf she can make 10 brownies with 12 ounce mix then

For 50 she would need 5 × 12 = 60 ounces

Answer:

60 oz

Step-by-step explanation:

because 12 times 5 is 60    and 10 time 5 = 50 that's why you times 5 with 12    and because 12 oz makes 10 brownies and if you want to make 50 brownies just times 12 by 5

Answer:

24

Step-by-step explanation:

you can just search it 20% of 120

Answer:

24 pencils

Step-by-step explanation:

(20 x 120)/100 = 24

Answer:

y=5

Step-by-step explanation:

If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.

Use the equation

y-y=m(x-x)

y-5=0(x-(-4))

y-5=0

y=5

Answer:

y=5

Step-by-step explanation:

\(y=\frac{3}{5}x+3\)

Slope-intercept form is the most common form of a linear function.

Formula

The formula for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this question, we must find both m and b by looking at a graph.

Slope

The slope is the change in y over the change in x. So, one way to find the slope is to identify 2 points on the graph and count the difference between them.

Another way to find the slope is to use the formula \(\displaystyle\frac{y_{2}- y_{1} }{x_{2}- x_{1} }\). You can plug in the values from both points and solve to get the same answer.

Y-Intercept

The y-intercept is easy to find from a graph. The y-intercept is wherever the line intersects with the y-axis (the vertical axis). In this case, the line intersects at y-value 3. So, 3 is the b-value in the equation.

Final Equation

Using the information above, we can say that the equation of the line in slop-intercept form is \(y=\frac{3}{5}x+3\).

Answer:

D . the slope of LN is equal to the slope of NP. this this because ratio of the change in x values of the endpoints is the same for LN as for NP​

Step-by-step explanation:

LMN and A NOP similar right triangles. The coordinates of all the vertices are integers.

Since the triangles are similar, we can the ratio of the sides are equal

OP     NM

----- = -----

NO     LM

OP/ NO is the slope  of LN  and

NM/ LM  is the slope  of NP

They are equal so the slopes are the same

The value of g(4) of the given function is 56.

To solve this, we would apply the knowledge of functions.

Given:

\(g(x) =6x+32\)

To find \(g(4)\), we would substitute \(4 $ for $ x\) into the given function, \(g(x) =6x+32\).

Let's solve:

\(g(x) =6x+32\)

\(g(4) =6(4)+32\\\)

\(g(4) =24+32\\\\\)

\(g(4) =56\)

Therefore, the value of g(4) is 56.

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The amount that she owes after she factors in interest will be $33,455.64.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.

Then the amount is given as,

A = $25,000 x (1 + 0.06)⁵

A = $25,000 x (1.06)⁵

A = $25,000 x 1.3382

A = $33,455.64

The amount that she owes after she factors in interest will be $33,455.64.

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Answer:

0.4 %

Step-by-step explanation:

Given:

Percent of pages that do not have pictures = (number of pages without pictures ÷ total number of pages) × 100%

= 1/250 × 100%

= 0.004 × 100%

= 0.4 %

Answer:

0.4%

explanation:

solve:

\(\sf \dfrac{1}{250} * 100\)

0.4%

Answer:

d is great than -3

Step-by-step explanation:

because negative numbers are less than whole numbers

y = 6x

y = (8.9) (9.8)

y = 6x (8.9)

y = 8.9x

Answer:

equilateral

Step-by-step explanation:

all the sides are equal

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.

Then, we can calculate the product of 482 and 76 to get the estimated result:

482 * 76 = 36,552

Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.

The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.

The percentage of Santiago's toy car collection that he keep on his wall is 85%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

In this scenario, Santiago has a toy car collection consisting of 357 toy cars he keeps on the wall and 63 he keeps in a display case. The total toys will be:

= 357 + 63

= 420

The percentage on the wall will be:

= 357 / 420 × 100.

= 85%

In conclusion, the percentage is 85%.

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To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The least value of n is 4,

Inequality representation = ?

It is known that,

Least value  of n is 4

So, Minimum possible value of n is 4

Maximum value of n should be more than 4,

In order to satisfy the condition,

So,

n  > 4

By combining both the things,

It can be written as,

n ≥ 4

Hence, the best inequality representation is n ≥ 4

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