pre algebra 8th grade math help

Number of each type of cards after solving system of equations for given situation of Pedro cards are 29 and68.

Interpretation is Pedro collected 29 football cards and 68 baseball cards.

As given,

Total number of cards=97

Let y=football cards

    x=baseball cards

System of equations are

x + y=97  __(1)

x=y +39    __(2)

Substitute (2) in (1)

y+ 39 +y=97

⇒2y=58

⇒y=29

Substitute y=29 in (2),

x=29 +39

 =68

Therefore, number of each type of cards after solving system of equations are football cards 29 and baseball cards 68.

Interpretation is Pedro collected 29 football cards and 68 baseball cards.

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Answer:

2/5

Step-by-step explanation:

add all marbles together: 10 marbles

since only 4 are red, the fraction would be 4/10

4/10 can be simplified to 2/5

Answer:

1/45

Step-by-step explanation:

2/10 * 1/9 = 1/45

2/10= 2 red marbles and 10 marbles in total.

The area of the rectangle is 17 square units.

The area of a rectangle is the product between the two dimensions (length and width) of the rectangle.

Here we know that the vertices are:

A(-1, 9), B(0, 9), C(0, -8), D(-1, -8)

We can define the length as the side AB, which has a lenght:

L = (-1, 9) - (0, 9) = (-1 - 0, 9 - 9) = (-1, 0) ----> 1 unit.

And the width as BC, which has a length:

L = (0, 9) - (0, -8) = (0 - 0, 9 + 8) = (0, 17) ---> 17 units.

Then the area is:

A = (1 unit)*(17 units) = 17 square units.

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Answer:

as you know i am no help whatsoever

Step-by-step explanation:

Answer:

answer below

Step-by-step explanation:

1. b=c = 60° (vertically opposite angle)

60°+ z = 180° (linear pair)

a= 180°-60°= 120

a= 120°

2. 112°+ a= 180° (linear pair)

a= 180°- 112°= 68°

x= 68° (a and x are corresponding angles)

3. don't know

Answer:

10 inches/hour

Step-by-step explanation:

The tip moves clockwise in a circle of radius 10 inches.  The linear velocity is v = rω, where r is the radius and ω the angular velocity.  

This comes out to v = (10 inches)(1 revolution per hour) = 10 inches/hour

Given that sin B = -5/13 and angle B is in quadrant III, we can use the Pythagorean identity to find the value of cos B:cos² B + sin² B = 1

cos² B + (-5/13)² = 1

cos² B = 1 - 25/169

cos² B = 144/169

cos B = -12/13 (since cos B is negative in quadrant III)a) To find csc B, we can use the reciprocal identity:

csc B = 1/sin B

csc B = 1/(-5/13)

csc B = -13/5b) To find cot B, we can use the quotient identity:

cot B = cos B/sin B

cot B = (-12/13)/(-5/13)

cot B = 12/5c) To find cos B, we have already calculated it above:

cos B = -12/13d) To find sec B, we can use the reciprocal identity:

sec B = 1/cos B

sec B = 1/(-12/13)

sec B = -13/12e) To find tan B, we can use the ratio identity:

tan B = sin B/cos B

tan B = (-5/13)/(-12/13)

tan B = 5/12Therefore, the values of the trigonometric functions for angle B in standard position with terminal side in quadrant III and sin B = -5/13 are:

a) csc B = -13/5

b) cot B = 12/5

c) cos B = -12/13

d) sec B = -13/12

e) tan B = 5/12

Step-by-step explanation:

The most appropriate statement that expresses a possible relationship between the variables, rate of pedaling and speed of a bicycle, is option A: "As the rate of pedaling increases, the speed of a bicycle increases."

This statement suggests that there is a positive correlation between the rate of pedaling and the resulting speed of the bicycle. When a cyclist pedals faster, it generates more force and power, translating into increased speed. This relationship aligns with basic principles of physics, as a greater input of energy and effort through pedaling leads to a higher velocity or speed output.

Option B implies that decreasing bicycle speed necessitates an increase in the rate of pedaling, and option C indicates that increasing bicycle speed is associated with a decrease in the rate of pedaling.

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Answer:

do you men triangular prism is 6 edges

Sure, I'll provide you with three separate SQL statements. Here they are: Statement 1:Write an SQL statement to display the Pet ID, breed, and type for all pets having a four-character name starting with K. SELECT pet ID, breed, type FROM pets WHERE name LIKE 'K';

Statement 2:Write an SQL statement to display the weight of the heaviest pet. SELECT MAX(weight) AS Heaviest Pet FROM pets; Statement 3:Write an SQL statement to display the first name, last name, and age of the oldest customer. SELECT first Name, last Name, age FROM customers ORDER BY age DESC LIMIT 1;

Here they are: Statement 1:Write an SQL statement to display the Pet ID, breed, and type for all pets having a four-character name starting with K. SELECT pet ID, breed, type FROM pets WHERE name LIKE 'K';

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We have to solve for x:

Multiply both sides of the proportion by 32:

Simplify:

The correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.

To find the percentage of players whose age is less than 31, we can use the standard normal distribution and z-scores.

First, we need to calculate the z-score for the value 31 using the formula:

z = (x - μ) / σ

where x is the value we want to find the percentage for, μ is the mean, and σ is the standard deviation.

In this case, x = 31, μ = 33, and σ = 2. Plugging these values into the formula, we get:

z = (31 - 33) / 2 = -1

Next, we can look up the cumulative probability associated with the z-score -1 in the standard normal distribution table. The cumulative probability represents the percentage of values that are less than the given z-score.

From the standard normal distribution table, the cumulative probability for z = -1 is approximately 0.1587, which corresponds to 15.87%.

Therefore, the correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.

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The events "Less than 5" and "Even" are not mutually exclusive, because there are numbers that are both less than 5 and even (specifically, the number 2). Therefore, the statement is false.

1. The sample space of a probability experiment is S={a, b, c, d}, while P(a)=P(b)=P(d)=.2.What is P(c)?

The sum of the probabilities of all the events in the sample space is 1. Therefore, we can find P(c) by subtracting the probabilities of the other events from 1:

P(c) = 1 - P(a) - P(b) - P(d)

P(c) = 1 - .2 - .2 - .2

P(c) = .4

Therefore, the probability of event c is .4.


2. A letter is selected at random from the word "MISSISSIPPI". Find the probability of the event "the letter chosen is a vowel". Round your answer to three decimal places.

There are 11 letters in the word "MISSISSIPPI" and 4 of them are vowels (I and I). Therefore, the probability of selecting a vowel is 4/11. Rounding to three decimal places, we get:

P(vowel) = 4/11 ≈ .364

Therefore, the probability of selecting a vowel is .364.


3. For the random experiment in question 4, is the following statement true or false? The events "Less than 5" and "Even" are mutually exclusive.

The events "Less than 5" and "Even" are not mutually exclusive, because there are numbers that are both less than 5 and even (specifically, the number 2). Therefore, the statement is false.

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answer:

6

step-by-step explanation:

v = l x w x h

v = (1)(2)(3/2)

v = 3

3 ÷ 1/2 = 6

Answer:

0

Step-by-step explanation:

The line is horizontal

Answer:

its Y=7

Step-by-step explanation:

Y=7 is already in slope form. The slope is 0.

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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Answer:

The answer is a.) 6.75

Explanation:

I got it right on my quiz :)

There are 15 different combinations of shows can gabe choose to watch.

Given,

Number of shows to be telecasted = 6

Number of allowed shows to watch =4

Gabe is allowed to watch 4 shows from total 6 shows.

To calculate combinations of shows that can gabe choose to watch, use formula

\(nCr=\frac{n!}{r!(n-r)!}\)

Where, n=Total number of shows i.e. 6

r= Number of choosing shows i.e.

\(nCr=\frac{6!}{4!(6-2)!}\\\\nCr=\frac{6*5*4*3*2*1}{4*3*2*1(2)!}\\\\nCr=\frac{6*5*4*3*2*1}{4*3*2*1*2}\\\\nCr=15\)

Thus, there are 15 different combinations of shows can gabe choose to watch.

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

Day 7

Step-by-step explanation:

The lines intersect at ( 7, 14). Days are along the x axis, so they have the same amount on day 7.  

The given expression is equivalent to 486√3

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, √4 of 3√3 of 3⁵

√4 of 3√3 of 3⁵ = 2×3√3×243

= 486√3

Hence, the given expression is equivalent to 486√3

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The measure of angle DAB in the given quadrilateral can be calculated as: 109°.

To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.

Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.

Thus, we have:

m<DAB = 360 - (90 + 97 + 64)

m<DAB = 360 - 251

m<DAB = 109°

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In this situation, the probability that the researcher is making a Type I error is less than 1%.

Type I error refers to the rejection of a true null hypothesis, while Type II error refers to the failure to reject a false null hypothesis.

In this situation, since the alpha level is set to .01, the probability of making a Type I error (i.e., rejecting a true null hypothesis) is less than 1%, while the probability of making a Type II error (i.e., failing to reject a false null hypothesis) cannot be determined without knowing the effect size, sample size, and power of the study.

When a researcher reports a significant correlation using an alpha level of .01, it means that the probability of obtaining such a result by chance is less than 1%. However, this does not guarantee that the correlation is necessarily true or meaningful. There is always a possibility that the result is due to chance or other extraneous factors.

Therefore, the probability that the researcher is making a Type I error is less than 1%.

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Answer:

13/20

Step-by-step explanation:

You can write 1 1/4 as 5/4.  Any fraction that has the same number in the numerator and the denominator equals 1.  For example 4/4 = 1, 20/20 =1, 5/5 = 1 and so on.

I can rewrite 1 1/4 as 4/4 + 1/4 = 5/4

Now we want to add -3/5 and 5/4.  We need a common denominator because the pieces of the fractions are not equal.  The smallest number that 5 and 4 will go into is 20.  Si U an going to write the two fractions with 20 as the denominator.

-3/5 = -12/20  I multiplied the top and the bottom of -3/5 with 4.

5/4 = 25/20  I multiplied the top and the bottom of 5/4 by 5

-12/20 + 25/20 = 13/20

One bottle of liquid plant food is enough for at least 12 weeks, and potentially a bit more.

William uses 40 milliliters of liquid plant food per week, so to find out how much plant food he needs for 12 weeks, we can simply multiply the weekly usage by the number of weeks:

Amount of plant food needed for 12 weeks = 40 milliliters/week x 12 weeks = 480 milliliters

So, William needs 480 milliliters of liquid plant food for 12 weeks.

Since the bottle of liquid plant food, William purchased contains 0.5 liters or 500 milliliters of liquid plant food, we can see that one bottle is enough for 12 weeks since 480 milliliters is less than the total amount of liquid plant food in the bottle.

In fact, we can calculate how many weeks one bottle of liquid plant food will last William by dividing the total amount of liquid plant food in the bottle by the amount used per week:

Time to use up the liquid plant food = (Total amount of liquid plant food) / (Amount used per week) = 500 ml / 40 ml/week ≈ 12.5 weeks

So, we can say that one bottle of liquid plant food is enough for at least 12 weeks, and potentially a bit more.

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The correct question should be:

William bought a 0.5 -liter bottle of liquid plant food. He uses 40 milliliters each week? How much plant food does William need for 12 weeks? Is one bottle enough for 12 weeks?

Answer:

1. 40

2. 52

Step-by-step explanation: 1. Subtract 16 from 36 then multiply by 2

2. Subtract 4 from 472 then divide by nine

Answer: 12 cups

Step-by-step explanation:

Answer:

12 cups

Step-by-step explanation:

1 pint = 2 cups

6 pints = 6 × 2 cups = 12 cups

The measures of the two angles is 40° and 50° list your angles from smallest to largest is 40° to 50°.

When two straight lines or rays meet at the same place, an angle is formed. The vertex of an angle is the location at which all points meet. Angle is derived from the Latin word angulus, which means "corner." In the Early Middle Ages, England was home to a particular cultural group known as the Anglo-Saxons. They were the offspring of settlers who came to Britain from continental Europe in the fifth century. However, the ethnogenesis of the Anglo-Saxons occurred in Britain; they did not merely accept a foreign identity.

Let the angle be X

Let the complimentary angle be Y

X + 60 = 2Y … equation 1

Y + X= 90

(complimentary angles always equal to 90°)

Y = 90 - X …. equation 2

Substitute equation 2 into equation 1

\(X + 60 = 2 x (90 - X)\\X + 60 = 180 - 2X\\X + 2X = 180 - 60\\3X = 120\\X = 40\) … equation 3

Therefore, the angle (X) equals 40°

To calculate Y, substitute equation 3 into equation 2.

\(Y = 90 - 40\\Y = 50°\)

Therefore the complimentary angle is 50°

To check if the answer is correct

The angle (40) plus 60 is 100

The complementary angle (50) divided by two equals 100.

list your angles from smallest to largest is 40° to 50°.

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The probability of producing an affected pup from the cross between individuals 1 and 2 is 25%.

The pedigree shows that the mild, but rare condition in Siberian Husky dogs is inherited in an autosomal recessive manner, meaning that an individual must inherit two copies of the mutated gene (one from each parent) to express the condition.

In this pedigree, individual 1 is unaffected, but a carrier of the mutated gene, as indicated by the half-filled circle. Individual 2 is also a carrier, but it is unclear whether or not they are affected, as indicated by the half-filled square.

If individuals 1 and 2 are crossed, we can use a Punnett square to determine the probability of producing an affected pup.

The Punnett square would have two columns and two rows, representing the two alleles each parent can contribute to their offspring. The probabilities for each possible outcome are:

Therefore, the probability of producing an affected pup from the cross between individuals 1 and 2 is 25%.

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