Gregor Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today, Gregor has 228 peas to examine. The pods have 6 peas per pod.How many pods of peas are there?

ill give thanks

Be,

x = number of large boxes

y = number of small boxes

According to the statement there are 125 boxes (large and small) in a truck, so

x + y = 125 (Equation 1)

We are also told that the large boxes weigh 45 pounds, so

45x --> Weight of an "x" number of large boxes

And the small boxes 30 pounds

30y --> Weight of a "y" number of small boxes

According to the statement, the weight of the 125 boxes (large and small) is 4800 pounds, so

45x + 30y = 4800 (Equation 2)

x + y = 125

45x + 30y = 4800

To solve this system we will apply the equalization method, which consists of solving for the same variable (x or y) in each equation.

In this case we will isolate x.

From the first equation

x = 125 - y

And from the second equation

45x = 4800 - 30y

\(\mathsf{x = \frac{4800-30y}{45} }\)

We equate both expressions

\(\mathsf{125 - y = \frac{4800-30y}{45} }\\\\\mathsf{45(125-y)=4800 - 30y}\\\\\mathsf{5625 - 45y = 4800 - 30y}\\\\\mathsf{5625 - 4800 = 45y - 30y}\\\\\mathsf{825 = 15y}\\\\\mathsf{\frac{825}{15}=y }\\\\\mathsf{55 = y}\)

There are 55 small boxes in the truck, we need to find the number of large boxes, for this we will use equation 1.

x + y = 125 (Equation 1)

x = 125 - y = 125 - 55

x = 70

Substituting both x, y into Equation 2, we have that

45x + 30y = 4800

45(70) + 30(55) = 4800

4800 = 4800

Correct!

The answer to your math homework on 2x2 equations is: The truck has 70 large boxes and 55 small boxes.

Answer:

75 degrees

Step-by-step explanation:

Isosceles triangle with 3rd angle being 30 degrees:

2x + 30 = 180

2x = 150

X = 75

If Lianne has some dimes and nickels with a total value of $4.60. The number of dimes she has is 4 more than 3 times the number of nickels then 0.15 Nickels does Lianne has.

Two or more expressions with an Equal sign is called as Equation.

Given,

Lianne has some dimes and nickels with a total value of $4.60.

The number of dimes she has is 4 more than 3 times the number of nickels.

We need to find number of nickels

From the given information

N+D=4.60

D=3N+4

N+3N+4=4.60

4N=4.60-4

4N=0.6

Divide both sides by 4

N=0.15

Hence, 0.15 Nickels does Lianne has.

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\( \large \bf \implies{} |10.5 - ( - 6.1)| \)

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

Answer:

The answer is c

Step-by-step explanation: Since both terms are perfect squares, factor using the difference of squares formula to get the answer i hope this helps

Hey there!

The answer is C.

To factor an expression, you take the root (same as exponent variable has) of the terms and put them into parantheses. We can also check the choices to see if they're correct by solving them.

A is incorrect, because if you solve it, you would have \(x^2-121\)

B is incorrect, because if you solve it, you would have \(121x-x^2\)

C is correct, because if you solve it, you would have \(121-x^2\)

D is incorrect, because it CAN be factored.

Have a super awesome day! :)

The value of Solution of the equation are,

⇒ x = 3π/4 or 5π/4

In the interval [0, 2pi]

Since, Trigonometric functions are used for obtaining angles and distances from measured angles in geometric figures.

And, Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding.

We have to given that;

The Expression is,

⇒ cos x + √2 = - cos x

Now, We can simplify the expression as;

⇒ cos x + √2 = - cos x

⇒ 2 cos x + √2 = 0

⇒ 2 cos x = - √2

⇒ cos x = - 1/√2

Since, x ∈ [0, 2π]

⇒ x = 3π/4

And,

⇒ x = 2π - 3π/4

⇒ x = 5π/4

Thus, All the Solution of the equation are,

⇒ x = 3π/4 or 5π/4

in the interval [0, 2pi]

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Answer:

512(cm)3

Step-by-step explanation:

Step-by-step explanation:

Limit of the function ln(n³)/10n is \(\lim_{n \to \infty}\) (3/n) and the sequence will be divergence in nature.

In Arithmetic, divergence and curl are the two fundamental procedure on the vector field. Both are significant in math as it assists with fostering the higher-layered of the central hypothesis of analytics. For the most part, uniqueness makes sense of how the field acts towards or away from a point. Likewise, curl is utilized to quantify the rotational degree of the field about a specific point.

We have a\(_n\)=ln(n³)/10n

Apply n'th term test for divergence, which states that,

If \(\lim_{n \to \infty} a_n\) !=0 , then ∑a\(_n\) diverges

Apply L'Hospital's rule,then \(\lim_{n \to \infty} ln(n^3)/10n\), Test L'Hospital condition:0/0

=\(\lim_{n \to \infty}\) d [ln(n³)/10n] / dn

=\(\lim_{n \to \infty}\)  (1/n³) ×3n²(since differentiation of ln(x) is 1/x)

=\(\lim_{n \to \infty}\)(3/n)

If n tends to infinite then the function tends to zero because 1/n tends to zero.

But,By the limit chain rule we know that 1!=0.So,according to the postulate of the divergence test criteria,we got that  the given function will diverges.

Hence, limit of the function is \(\lim_{n \to \infty}\)(3/n) and function will diverges.

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(Complete question) is:

determine the convergence or divergence of the sequence with the given nth term. if the sequence converges, find its limit- ln(n³)/10n.

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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Answer:

let first part be x

then second part will be 16000-x

SI for first part= x*5*12/100= 0.6x

SI for second part= (16000-x)*2*18/100=5760-0.36x

as per question

5760-0.36x = 0.6x

5760=0.96

x=6000

one part = 6000

another part=16000-6000=10000

Step-by-step explanation:

The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a

The given parameters in the question are:

f(x) = x^2 + 7x and

x = a as in f(a)

This means that the equation of the function f(x) is given as:

f(x) = x^2 + 7x

To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.

This means that we set x to a in the equation of the function f(x) = x^2 + 7x.

So, we have;

f(a) = a^2 + 7a

The above equation cannot be further simplified or expanded

So, we conclude that

Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a

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Answer:

15-9-2.65-1.35-1.74 which is a negative number meaning he doesnt have enough money

Step-by-step explanation:

9(1) + 2.65(1) + 1.35(1) + 1.74(2) = 16.48

Answer:

the answer to the problem is b

Answer:

circumference (c) , radius (r)

Step-by-step explanation:

c=2 pi r

c=2*3.14 *39

c= 244.92cm

Answer:

The circumference is about 22.14cm

Step-by-step explanation:

This is because first you take the area and multiply it by pi. Next you take the square root of this number. Now you take this number and multiply it by 2 to get 22.14.

Hope I helped! Have a Great rest of your day! :-)

Answer:

12

Step-by-step explanation:

you will have to divide $15 by $180 and when you do that your result should end up being 12, hope that helped

Answer:

The common ratio in this sequence is 6:2 or 4:3

Step-by-step explanation:

hopes this heklps

The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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Answer:

= 5/2 or 2.5

Step-by-step explanation:

So you can do the keep, switch, flip method. Keep 5/8, switch division to multiplication, flip 1/4 to become 4.

5/8 x 4/1

then multiply across

20/8

which can be simplified to 5/2

Step-by-step explanation:

\( \frac{5}{8} \div \frac{1}{4} = \frac{5}{8} \times 4\)

\( \frac{5}{8} \times 4 = \frac{5}{2} \)

\( \frac{5}{2} = 2 \frac{1}{2} \)

Answer:

320p

Step-by-step explanation:

According to the question,

560p = 7 pencils

Therefore,

1 pencil = 560 / 7

             = 80p

So, for 4 pencils it costs

4 * 80 = 320p

Answer:

easy piizzy lemon squeezyy!!

Step-by-step explanation:

i) 560/7

=80

ii) 80*4

=320

Answer:

0.99998412723

Step-by-step explanation:

basically i divided 252 by 252.004 and got 0.99998412723 so 252.004 times 0.99998412723 equals 252

I hope this helps!

Answer:

no,

Step-by-step explanation:

The reason for this is because if you were to take away the 4 at the end of both 0's you could easily just multiply by 1 but due to the 4, you can multiply anything to get 252

Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

The length of the apothem of the regular pentagon shown is 5.2 meters

Represent the central angle of the regular pentagon using x

The value of the central angle of the regular pentagon is then calculated as:

x = 360/n

Where n represents the number of sides

i.e n = 5

So, we have:

x = 360/5

Evaluate the quotient

x = 72

Represents the apothem with y.

The apothem is then calculated as:

tan(x/2) = (Side length/2)/Apothem

This gives

tan(72/2) = (7.6/2)/y

Evaluate the quotient

tan(36) =3.8/y

Multiply both sides by y

y tan(36) = 3.8

Divide both sides by tan(36)

y = 3.8/tan(36)

Evaluate the quotient

y = 5.2

Hence, the length of the apothem of the regular pentagon shown is 5.2 meters

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Answer:

First choice.

Step-by-step explanation:

The third side cannot be 26 or greater ( as 11 + 15 = 26).

Answer:

it is A i think

Step-by-step explanation:

Divide by 1/3. Because we reverse the operation.

Theoretical Probability of rolling a 2= 1/20

Experimental Probability of rolling a 2 =  1/20

Theoretical probability of rolling a 2:

The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:

Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20

Experimental probability of rolling a 2:

The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the  event is rolling a 2, which occurred 200 times out of 4000 rolls.    

Therefore, the experimental probability of rolling a 2 is:

Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20

Comparing theoretical and experimental probability:

If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.

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Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Answer:

3.5

Step-by-step explanation:

you do .70 times 5

P times 5 = p(5)

P=.70

.70 times 5= 3.5

The value of P(5) when p = 0.70 is 0.00567

The given parameter is:

p = 0.70

A geometric probability is represented as:

P(x) = (1 - p)^(x - 1) * p

So, we have:

P(5) = (1 - 0.70)^(5 - 1) * 0.70

Evaluate the difference

P(5) = 0.30^4 * 0.70

Evaluate the product

P(5) = 0.00567

Hence, the value of P(5) when p = 0.70 is 0.00567

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Answer:

4 + 4 + 4 = 12

Step-by-step explanation:

Perimeter (P) = a + b + c (a, b, c being all the sides, which are all equal to 4)