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Answer:

x = 25

Step-by-step explanation:

Angles in a triangle add up to equal 180

Thus, 180 = 27 + 53 + 4x

We now solve for x

step 1 combine like terms

27 + 53 = 80

we now have 180 = 80 + 4x

step 2 subtract 80 from each side

180 - 80 =  100

80 - 80 cancels out

we now have 100 = 4x

step 3 divide each side by 4

4x / 4 = x

100 / 4 = 25

we're left with x = 25

Answer:

-25 is the correct answer

Step-by-step explanation:

hope this helps:)

Answer:

\( \frac{5}{8} = \frac{22}{x - 6} \\ x≠6 \\ 5(x - 6) = 176 \\ 5x -30 = 176\)

The value of pH for a sample of grape juice would be 4.4.

Given that,

A grape juice sample has a concentration of hydroxide ions of \(1.4 \times10^{-10} m\)

Now, The hydroxyl ion concentration in grape juice is, \(1.4 \times10^{-10} m\).

Hence, the value of pOH will be;

\(pOH = - log[1.4 \times10^{-10} ]\)

\(pOH = 9.6\)

Now the value of pH will be;

\(pH = 14 - pOH\)

\(pH = 14 - 9.6\)

\(pH = 4.4\)

Rounded to the nearest tenth.

Therefore, the value of pH is 4.4

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The grape juice sample has a hydroxide ion concentration of 1.4 x 10−10 m. After calculating for the hydronium ion concentration, we use the formula pH = -log [H3O+] to determine that the pH of the sample is approximately 4.2.

The subject of your question pertains to chemistry, specifically relating to the concept of pH and its calculation from the hydroxide ion concentration. As the sample of grape juice you mentioned has a hydroxide ion concentration of 1.4 x 10−10 m, we first need to find the concentration of hydronium ions. This can be determined using Kw (the ion product of water) which equals [H3O+][OH-] = 1.0 x 10-14 at 25°C. Given your hydroxide ion concentration, we have [H3O+] = Kw / [OH-], so [H3O+] = (1.0 x 10^-14) / (1.4 x 10^-10) = 7.14 x 10^-5 M.

Now, we can calculate the pH using the formula pH = -log [H3O+]. Substituting the value of [H3O+] into the equation gives pH = -log(7.14 x 10^-5) = 4.15. Rounded to the nearest tenth, this results in a pH value of 4.2 for your grape juice sample.

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The Answer is:

j = 26/43

Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

Answer:

1/2

Step-by-step explanation:

We know the total amount of marbles in the bag, 6. Now, we need to make a fraction, there are 3 blue marbles, so our fraction is 3/6. This can be simplified to 1/2.

The required probability of the blue marble in the bag is 1 / 3.

Given that,
A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random, what is the probability that it is blue is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
Total number of marble in the bag = 6
Total number of blue marble in the bag = 2
Probability of the blue marble in the bag = 2 / 6 = 1 / 3

Thus, the required probability of the blue marble in the bag is 1 / 3.

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Answer:

1.75

Step-by-step explanation:

7/4=1.75

,,,,,,,,,,,

The probability that the entire system works is approximately 0.52, rounded off to the second decimal place.

What is probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

Let A, B, and C represent the events that components A, B, and C work, respectively. Then, the probability that a component works is given as P(A) = P(B) = P(C) = p.

The probability that the entire system works is the probability that either A and B work and C does not, or A and C work and B does not. This can be expressed as:

P(system works) = P((A and B and C') or (A and B' and C))

Using the distributive property of probability, we can rewrite this as:

P(system works) = P(A and B and C') + P(A and B' and C)

Since the components work independently, we can apply the product rule of probability to each term:

P(system works) = P(A) * P(B) * (1 - P(C)) + P(A) * (1 - P(B)) * P(C)

Substituting P(A) = P(B) = P(C) = p, we get:

P(system works) = p² * (1 - p) + p * (1 - p)²

Simplifying this expression, we get:

P(system works) = p * (2p - 3p² + 1)

Substituting the given value of p, we get:

P(system works) = 0.8 * (20.8 - 30.8² + 1) ≈ 0.52

Therefore, the probability that the entire system works is approximately 0.52, rounded off to the second decimal place.

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Answer:

20% of 30

= 20/100 * 30

= 6

hence 6 students recieved A grade

Answer:

21

Step-by-step explanation:

prim factors: 2, 3, 5, and 11

The sum of the prime factors of the number 330 is 21.

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.

Given:

The number is 330

Factorize the above number,

330 = 1 × 2 × 3 × 5 × 11

Prime factors are = 2, 3, 5, 11

Calculate the sum of the prime factor

2 + 3 + 5 + 11 = 21

Therefore, the sum of the prime factors of the number 330 is 21.

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The median class which contains the middle 50% of the distribution in the survey belongs to the MOST category

Creating a frequency distribution table :

Category ___ Frequency ___ Cummulative frequency

Some ______ 120 _________ 120

A few ______ 181 __________301

Some ______ 264 _________ 565

Most _______517 _________ 1082

All _________257 _________1339

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Answer:

Step-by-step explanation:

Answer:

part c                      hope this helps. :)

Step-by-step explanation:

11/12

2 3/4 = 11/4

11/4 divided by 3

turn the divide to multiply and write 11/4 x 1/3

answer will be 11/12

Answer:

11/12

Step-by-step explanation:

Shelby and her two friends make 3 people.

2 3/4 pies are left over

They decide to share among themselves.[3]

Change 2 3/4 to an improper fraction:2*4+3=11/4

11/4 evenly divide with 3 friends

Change the division sign to multiplication by giving the reciprocal of the number to the right[3]

11/4*1/3=11/12

The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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Answer:

See attachment.  7 and 24 (units not given)

Step-by-step explanation:

The sides of a right triangle will follow the Pythagorean Theorem:

A^2 + B^2 = C^2

We are given some options, so let's start with assuming the hypotenuse, C, is the largest of the numbers and see if we can find two smaller lengths that, when squared, will equal the square of the hypotenuse.

25^2 = 625

The other squares:

4^2    =   16

7^2    =   49

12^2   = 144

24^2  = 576

I quickly note that the 49 and 576 come close (or exactly) to the 625 we need, and the sum of their last digits results in a 5, so add them:

567

49

625

Therefore, the two sides are  7 and 24 (units, such as cm, m, feet, etc,)

If two numbers couldn't be found that meet the criteria, go to the next lowest number for the hypotenuse and repeat the process.

Answer:

{3,4,5,7,9,10,13,17}

Step-by-step explanation:

The U means union and that means join sets A and B together

A U B

{3,4,5,7,9,10,13,17}

Answer:

hi you answer should be 5/3

Step-by-step explanation:

Hope this helps!

For the binomial distribution , the formula which finds the standard deviation is σ = √(n × p × (1-p)) .

The Standard Deviation is a measure of how much the values in the distribution vary from the mean.

The formula for calculating standard-deviation of a binomial distribution is ⇒ σ = √(n × p × (1-p)) ,

Where: σ = standard deviation , n = sample size , p = probability of success on a single trial ,

This formula can be used to calculate the spread or variability of a binomial distribution, which represents the distribution of the number of successes in a fixed number of independent trials, each with the same probability of success.

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Answer:

3

Step-by-step explanation:

Radian= arc/radius

18/6=3

The Central angle was calculated to be 3 radians using the formula.

it is the angle subtended by radii and corresponding arc.

as we know that

length of an arc= central angle* radius

so, central angle = arc length/radius

it is given that

length of the arc=18cm

the radius of the circle=6cm

central angle= 18/6 = 3 radian.

therefore, the central angle was calculated to be 3 radians using the formula.

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Answer:

D. Subtraction Property of Equality

Step-by-step explanation:

D. Subtraction Property of Equality

From 6-7, you subtract 132 from both sides. You can only do this because of the subtraction property of equality which essentially means that if you subtract something from one side of the equation, you also have to subtract it from the other side. In this case, you subtract 132 from both sides, therefore it is D.

Answer:

y=-2x+12

Step-by-step explanation:

The size of angle ACB in triangle ABC is approximately 35.5 degrees.

To calculate the size of angle ACB, we can use the Law of Cosines, which states that in any triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of those sides and the cosine of the included angle.

The formula for the Law of Cosines is:

c^2 = a^2 + b^2 - 2ab * cos(C)

Where:

c is the side opposite to angle C (in this case, side AB with length 7cm)

a and b are the other two sides (in this case, sides AC and BC with lengths 6cm and 8cm, respectively)

C is the angle we want to find (angle ACB)

Plugging in the given values, we have:

7^2 = 6^2 + 8^2 - 2 * 6 * 8 * cos(C)

Simplifying the equation, we get:

49 = 36 + 64 - 96 * cos(C)

49 = 100 - 96 * cos(C)

96 * cos(C) = 100 - 49

96 * cos(C) = 51

cos(C) = 51 / 96

To find the angle ACB, we need to take the inverse cosine (also known as arccos) of the value we just calculated:

C = arccos(51 / 96)

Using a calculator, we find that C is approximately 35.5 degrees.

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An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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Answer:

A

Step-by-step explanation:

Because B corresponds with 80 and a line segment is 180 degrees b + a =180 and a would be 100.

Stunting is the term used to describe a form of malnutrition in which children have a low height-for-age ratio. It is characterized by children appearing to have normal weight but being shorter than they should be for their age.

Stunting is a result of chronic malnutrition, typically experienced during the first 1,000 days of a child's life, from conception to the age of two.

Stunting is a prevalent issue in many developing countries, where access to nutritious food, clean water, and proper healthcare may be limited. It is primarily caused by a lack of adequate nutrition, particularly a deficiency in essential nutrients such as protein, vitamins, and minerals. Additionally, factors like poor sanitation, recurrent infections, and inadequate maternal and child care contribute to stunting.

The consequences of stunting are significant and long-lasting. It affects not only physical growth but also cognitive development, immune function, and overall well-being. Stunted children are at a higher risk of developmental delays, reduced learning capacity, and increased susceptibility to diseases. The impact of stunting can extend into adulthood, leading to reduced productivity and economic potential.

Addressing stunting requires comprehensive interventions that focus on improving maternal and child nutrition, access to clean water and sanitation, and healthcare services. Promoting exclusive breastfeeding, providing nutrient-rich foods, and implementing public health programs are essential in combating stunting and ensuring optimal growth and development for children.

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x= Jirls age

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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Answer:

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

Step-by-step explanation:

W = -275(2t-7), where t is hours since pumping starts.  Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).    In this case we'll use W and t instead of x and y.

W = -275(2t-7)

W = -550t + 1925

The 1925 figure represents the water volume when t = 0, the initial volume.  The slope of -550 is the rate at which water is being pumped out.  550 gallons/hr.

We can solve the equation for the hours required to make w=0:

W = -550t + 1925

0 =  -550t + 1925

550t = 1925

t = 3.5 hours

-

We can solve for when W = 1,000:

W = -550t + 1925

1000 = -550t + 1925

-925 = -550t

t = 1.682 hours

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

We can also graph the function. attached.