Write an algebraic expression for: the product of 12 and x divided by the sum of 4 and x

Answer:

8

Step-by-step explanation:

Multiply 11 by 2 to get to 22; do the same to 4

Answer:

55

Step-by-step explanation:

180-25=55

Answer: 55

Step-by-step explanation:

Answer:

x = -5/2

Step-by-step explanation:

Line of symmetry of a quadratic is:

x = h

Where h is the x-coordinate of the vertex.

For any quadratic,

y = ax² + bx + c

h = -b/2a

For the given quadratic,

y = x² + 5x

h = -5/(2×1) = -5/2

Equation of the line of symmetry therefore is

x = -5/2

Answer:

x = -5/2

Step-by-step explanation:

Hope I helped ya.

I know I'm late.

< Sarah >

Answer:

see explanation

Step-by-step explanation:

The opposite angles of the inscribed quadrilateral are supplementary, thus

∠ A + ∠ C = 180°, substitute values

14z - 7 + 8z = 180

22z - 7 = 180 ( add 7 to both sides )

22z = 187 ( divide both sides by 22 )

z = 8.5

Thus

∠ A  = 14z - 8 = 14(8.5) - 7 = 119 - 7 = 112°

∠ C = 8z = 8(8.5) = 68°

∠ D = 10z = 10(8.5) = 85°

The sum of the 4 interior angles = 360°, thus

∠ B = 360° - (112 + 68 + 85)° = 360° - 265° = 95°

Thus

∠ A = 112°, ∠ B = 95°, ∠ C = 68°, ∠ D = 85°

Answer:

48 cm

Step-by-step explanation:

The midsegment of a trapezoid is calculated as

[tex]\frac{sumofbases}{2}[/tex], thus

XY = [tex]\frac{34+62}{2}[/tex] = [tex]\frac{96}{2}[/tex] = 48 cm

Step-by-step explanation:

Theoretical probability : Theoretical probaility is the value expected from an outcome or an equation assuming perfect conditions. It is based on theories and hypotheisi and not based on real life incidents.

Experimental probability : When we performa n experiment, the values we get are experimental probability. These are actual rsults of the eperiemnt under study

Independent probability : Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur.

Dependent probability: If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.

Since the results of the experiment are used and based on the above definitions. we should use experiement probabiity (Option B) to predict he probability of the next number showing on the top face

Given:

Given that the measure of the exterior angle F is 142°

We need to determine the measure of ∠DFE

Measure of ∠DFE:

The ∠DFE and the exterior angle F are linear pairs.

Thus, the linear pair of angles add up to 180°

Hence, we have;

[tex]\angle DFE+142^{\circ}=180^{\circ}[/tex]

Subtracting both sides of the equation by 142, we get;

[tex]\angle DFE=38^{\circ}[/tex]

Hence, the measure of ∠DFE is 38°

Thus, Option a is the correct answer.

Answer:

5900 meters < Sarita < 6500 meters

Step-by-step explanation:

Given

Tomás = [tex]6\frac{1}{2} km[/tex]

Jackie = 8,000 m

Joseph = 5.9 km

Mai Yee = 2,790 m

Where km and m represent kilometers and meters respectively

Required

How far could Sarita have ran

First, we'll convert the distance covered by each individuals to one units (Preferably meters)

We'll need to convert distance covered by Tomás and Joseph because they're given in kilometers.

Since 1 km = 1000 m, then we have

Tomás = [tex]6\frac{1}{2} km[/tex]

Tomás = [tex]6\frac{1}{2} * 1000 m[/tex] (Convert fraction to decimal)

Tomás = [tex]6.5 * 1000 m[/tex]

Tomás = 6500 m

Joseph = 5.9 km

Joseph = 5.9 * 1000 m

Joseph = 5900 m

Now that we have the same unit all through, the next step is to list them out

Tomás = 6500 m

Jackie = 8,000 m

Joseph = 5900 m

Mai Yee = 2,790 m

Then, we rearrange in ascending order (from smallest to biggest)

Mai Yee = 2,790 m

Joseph = 5900 m

Tomás = 6500 m

Jackie = 8,000 m

The condition given in the question is that Sarita ran farther than 2 of the people in the table and slower than the other 2

This means that Sarita ran farther than the least 2 "Mai Yee and Joseph"

And at the same time Sarita covered lesser distance than the highest 2 "Tomás and Jackie"

This means that distance covered by Sarita is greater than distance covered by Joseph and less than distance covered by Tomás

Since no option is given, I'll represent the answer using inequality

Recall that

Joseph = 5900 m

Tomás = 6500 m

Sarita could have ran a distance greater than 5900 meters and less than 6500 meters

Distance covered by Sarita: 5900 < Sarita < 6500

Answer:

Option B, [tex]-11g + 15[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]-g - 5(2g - 3)[/tex]

[tex]-g + (-5 * 2g) + (-5 * -3)[/tex]

[tex]-g - 10g + 15[/tex]

[tex]-11g + 15[/tex]

Answer: Option B, [tex]-11g + 15[/tex]

Answer:40%

total 60

24 is 40% of 60

Answer:

40

Step-by-step explanation:

24/60 x 100

40%

Final answer:

The product of 4/9 and 72 is found by multiplying 4 by 72 and then dividing by 9, giving us the final answer of 32.

Explanation:

To find the product of 4/9 and 72, you multiply the two numbers together. Here's how you do it:

Write the multiplication expression: 4/9 × 72.

Since 72 is the same as 72/1, you can think of this as multiplying two fractions: (4/9) × (72/1).

Multiply the numerators together: 4 × 72 = 288.

Multiply the denominators together: 9 × 1 = 9.

Combine the results to find the fraction form of the answer: 288/9.

Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 9: 288 ÷ 9 = 32.

The product of 4/9 and 72 is 32.

Answer:

The comparison using median and IQR is best because one of the graphs is not symmetrical.

Step-by-step explanation:

The following information is missing

A box plot titled Number of Minutes Women Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 54, and the box ranges from 34 to 50. A line divides the box at 48.  

A box plot titled Number of Minutes Men Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 68, and the box ranges from 36 to 60. A line divides the box at 48.  

The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison?

The comparison would be more accurate using the mean and MAD because one of the graphs is symmetric.

The comparison would be more accurate using the mean and MAD because the median of both data sets is the same.

The comparison using median and IQR is best because one of the graphs is not symmetrical.

The comparison using median and IQR is best because the median is greater than the IQR for both data sets.

Mean and MAD are useful for comparison when both data sets are symmetrical.

In the women box plot the Q1 is at 34, the median is at 48, and the Q3 is at 50, so it is not symmetrical (the difference between the median and the Q1, and the Q3 and the median is not the same)

Answer:

720°

Step-by-step explanation:

Answer:

I think the graph that best matches the discription is option D (so the last one)

A graph representing this coffee shop chain's sales would likely resemble a 'W', with two significant turning points, never declining below $250,000, and a general upward trend indicating sales are expected to increase.

In Mathematics, when we discuss turning points, we generally refer to the points on a graph where the curve changes direction. If sales are increasing in the long run and there have been two 'turning points' this year, the graph should generally showcase a positive upward trend, dips at the points of turning, and then subsequent increases. Given that the least amount of sales during the year is about $250,000, the graph should never fall below this point.

In this context, the turning points would reflect changes in sales - a drop followed by a rise. It’s important to note that without the exact data or the graph, I cannot definitively identify it. However, considering the given descriptive data, we can deduce that the graph might look somewhat like a 'W', with the middle point not declining below $250,000 and a general upward trend.

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Answer:

x = 1 and

Y = 2

Step-by-step explanation:

1. Y = x + 1

2. X + Y = 3

Substitute equation 1 into equation 2

X + Y = 3

X + X + 1 = 3

2x + 1 = 3

Subtract 1 from both sides to eliminate 1 on the left side

2x + 1 - 1 = 3 - 1

2x = 2

Divide both sides by 2 to isolate x

2x/2 = 2/2

x = 1

Substitute 1 for x in either equation to get Y

Using equation one, we have

Y = x + 1

= 1 + 1

= 2

x = 1

Y = 2

Check

X + Y = 3

1 + 2 = 3

3 = 3

9.24 days does it take 500 grams of the isotope to decay to 250 grams.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

Given that

The isotope thulium-167 is used in laser scans for medical treatments

The rate of decay is 0.075

The isotope thulium-167 is used in laser scans for medical treatments.

If we started with 500 grams then we are looking for when only 250 grams are left so

y = y₀e^(-0.075t)

y₀ represents the initial amount of radioactive material

250 = 500e^(-0.075t)

0.5 = e^(-0.075t)  

Now take the natural log of both sides which gives us,

ln0.5 = -0.075t

t = ln0.5/(-0.075)

t = 9.24 days

Hence, 9.24 days does it take 500 grams of the isotope to decay to 250 grams.

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[tex]-3x+5<17\\-3x<12|:(-3)\\x>-4[/tex]

x∈(-4;+∞)

/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

Answer:

y = -x +7

Step-by-step explanation:

A line that is parallel must have the same slope in this case -x.

Since the y-intercept of the needed solution is 7, the equation is:

y = -x+7

Please mark my answer as brainiest

Answer: the answer is A (4)

Answer:

The correct answer is 8 inches

Step-by-step explanation:

Answer:

I think its 23o

Step-by-step explanation:

The shadow length of Kyle is 1.2 feet,if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.

Step-by-step explanation:

The given is,

                  A lighthouse is 150 feet tall.

                  Cast a shadow of 30 feet.

                  Kyle is 6 feet tall.

Step:1

                 Ref the attachment,

                 From triangle ABC,

                               tan ∅ = [tex]\frac{Opp}{Adj}[/tex]......................(1)

                 Where, Opp = AB = 150 feet

                                Adj = BC = 30 feet

                 Equation (1) becomes,

                              tan ∅ = [tex]\frac{150}{30}[/tex]

                                        = 5

                                     ∅ = [tex]tan^{-1}[/tex] 5

                                     ∅ = 78.69°

                 ∅ is same for both ABC and PQR triangle.

                 From triangle PQR,

                               tan ∅ = [tex]\frac{Opp}{Adj}[/tex]......................(1)

                 Where, Opp = PQ = 6 feet

                                Adj = QR = x

                 Equation (1) becomes,

                      tan 78.96° = [tex]\frac{6}{x}[/tex]

                                     5 = [tex]\frac{6}{x}[/tex]

                                     x = [tex]\frac{6}{5}[/tex] = 1.2

                 Shadow length of Kyle, x = 1.2 feet

Result:

           The shadow length of Kyle is 1.2 feet, if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.

Answer:

option D

Step-by-step explanation:

Given,

half life of silicon-32 = 710 years

Present silicon-32, N₀ = 90 gm

silicon-32 after 600 years,N = ?

[tex]k = \dfrac{-0.693}{t}[/tex]

[tex]k = \dfrac{-0.693}{710}[/tex]

k = -0.000976

Now,

[tex]N = N_0 e^{kt}[/tex]

[tex]N =90\times e^{-0.000976\times 600}[/tex]

[tex]N = 50.104\ g[/tex]

Hence, the correct answer is option D.

The amount of silicon-32 remaining after 600 years is 50.102 grams

Half life is the time taken for a substance to decay to half of its original amount. It is given by:

[tex]N=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} } \\\\N\ is\ the\ value\ of\ the\ substance\ after\ t\ year, t_\frac{1}{2} \ is\ the\ half\ life\\and\ N_o\ is\ the \ original\ amount[/tex]

Given that half life = 710 years, original amount is 90 g, t = 600 years, hence:

[tex]N=90(\frac{1}{2} )^\frac{600}{710} \\\\N=50.102\ g[/tex]

The amount of silicon-32 remaining after 600 years is 50.102 grams

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Answer:

11

Step-by-step explanation:

A=[tex]\frac{bh}{2\\}[/tex]

A=[tex]\frac{5.5*4}{2}[/tex]

A=[tex]\frac{22}{2}[/tex]

A=11

Answer:

A=11in²

Step-by-step explanation:

Answer: The answer is the first one d= 1/50w.

Step-by-step explanation: 3/5 divided by 30 is 1/50 as a fraction. This is the unit rate. 1/50 milligrams per pound. Hope this helps!:))

Answer:

it would be D=1/50 W

Step-by-step explanation:

Answer:

d is correct for me

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

copper=3kg

nikhil=5/4 kg

zinc=3/4 kg

Step-by-step explanation:

copper:nikhil:zinc

12:5:3

let x be one value

12x+5x+3x=5

20x=5

x=5/20=1/4

12*1/4=12/4=3

5*1/4=5/4=1 1/4

3*1/4=3/4

To make 5 kg of the alloy, you would need:

A ratio is a mathematical comparison of two quantities or values. It expresses the relationship or proportion between the quantities being compared. Ratios can be represented in different forms, such as fractions, decimals, or as a colon (:).

Let's calculate the amounts for each metal:

Copper:

The ratio indicates that for every 12 parts of the alloy, 1 part should be copper.

So, the amount of copper needed

= 12/20 x 5

= 3 Kg

Nickel:

For every 5 parts of the alloy, 1 part should be nickel.

So, the amount of nickel needed

= 5/20x 5

= 1.25 Kg

Zinc:

For every 3 parts of the alloy, 1 part should be zinc.

So, the amount of zinc needed

= 3/20 x 5

= 0.75 Kg

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