a number plus 6 is greater than 1

Answer:

19

Step-by-step explanation:

simple, since all sides of a square are equal, we have that;

6x - 2= 4x + 5

collect like terms

6x - 4x = 5 + 2

2x = 7

dividing throughout by 2

x = 7/2

x = 3.5

since x= 3.5 or 7/2, we can now find the length of one side of the square by simply substituting value of x for x.

6x - 2

6(7/2) - 2

21 - 2

length of a side of the square= 19

OR

4x + 5

4(7/2) + 5

14 + 5

length of a side of the square= 19

Answer:

33+p

that's it 33+p

sum = 33+p

Answer:

Altogether they made $24 which is enough to earn $12 each

Step-by-step explanation:

Important information:

1 cup: $0.75

4 cups = 1 quart

8 quarts of lemonade altogether

If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart

Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply

0.75 × 4 = 3

They make $3 per 1 quart

We are looking for the amount for 8 quarts though, not just 1. Again we must multiply

3 × 8 = 24

They will make $24 if they sell all 8 quarts

The questions ask if they will each earn $12

Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people

24 ÷ 2 = 12

$12

As the number of zygotes increases, it can lead to both increased genetic diversity and increased chances of beneficial or harmful traits.

These factors can play a role in shaping the evolution of a population over time.

As the number of zygotes increases, there are a few possible outcomes:

1. Increased genetic diversity:

When gametes are chosen at random to form zygotes, it increases the chances of combining different sets of genetic information. This can lead to an increase in genetic diversity among the zygotes.

2. Higher chances of beneficial traits:

With a larger number of zygotes, there is a higher probability of beneficial genetic variations occurring. These beneficial traits can provide advantages to the organism, such as improved survival or reproduction.

3. Increased chances of harmful traits:

On the flip side, as the number of zygotes increases, there is also a greater likelihood of harmful genetic variations occurring. These harmful traits can lead to decreased fitness or survival disadvantages for the organism.

4. Natural selection:

With an increased number of zygotes, there is a greater pool of potential variations for natural selection to act upon. Natural selection favors individuals with traits that are better suited to their environment, leading to the survival and reproduction of those individuals and their genetic traits becoming more common in subsequent generations.

Overall, as the number of zygotes increases, it can lead to both increased genetic diversity and increased chances of beneficial or harmful traits. These factors can play a role in shaping the evolution of a population over time.

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As the number of zygotes increases, the genetic diversity within the population may increase, and the overall population size may also increase.

When gametes, which are the reproductive cells (sperm and egg), combine to form zygotes, the process is random. This means that the choice of gametes that come together to form a zygote is not predetermined or controlled.

As the number of zygotes increases, there are a few possible outcomes. One possible outcome is that the genetic diversity within the population will also increase.

This is because with a larger number of zygotes being formed, there is a higher chance of different combinations of gametes coming together.

For example, let's say there are 10 gametes available: A, B, C, D, E, F, G, H, I, and J. If two gametes are chosen randomly to form a zygote, the possible combinations could be AB, CD, EF, GH, or IJ.

As the number of zygotes increases, the chance of different combinations occurring also increases. This can lead to a greater variety of genetic traits within the population.

Additionally, as the number of zygotes increases, the overall population size may also increase.

If each zygote develops into a fully grown individual, then with a larger number of zygotes, there will be a larger number of offspring.

To summarize, as the number of zygotes increases, the genetic diversity within the population may increase, and the overall population size may also increase.

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Answer:

18 is the answerrrrr ???

Answer:

10.174

Step-by-step explanation:

Round up to the nearest tenth: 10.2

Round up to the nearest hundredth: 10.17

Round up to the nearest thousandth: 10.174

I hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

I hope this help you

Answer:

The property is the water cycle

Answer:

-15

1.9

Step-by-step explanation:

-7 - 8 = -15

1 and 6/7 = 1.857142857142857142857142.....

about 1.9

Answer:

(3,3)

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

To find the midpoint add the x coordinates together and divide by 2

(1+ xb)/2 = 2

1+ xb = 4

xb = 4-1

xb =3

To find the midpoint add the y coordinates together and divide by 2

(7+ yb)/2 = 5

7+ yb = 10

yb = 10-7

yb =3

Answer:

-6

Step-by-step explanation:

The value for m in the equation 1.7m = 0.85 is B. 0.50.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information given, 1.7m = 0.85

Divide through by 1.7

1.7m / 1.7 = 0.85 / 1.7

m = 0.5

The correct option is C.

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the sets A, B, C, and D defined above satisfy all the given conditions.

Here's an example of four non-empty sets, A, B, C, and D, that satisfy the given conditions:

A = {1, 2, 3}

B = {2, 3, 4}

C = {B}

D = {A, B}

Now, let's verify that each condition is satisfied:

1. A ∩ B ≠ ∅: The intersection of sets A and B is {2, 3}, which is not empty. So, A ∩ B ≠ ∅ is true.

2. A ∩ C = ∅: The intersection of sets A and C is {B}, which is not empty. Therefore, A ∩ C = ∅ is not satisfied.

3. B ∈ C: Set B is indeed an element of set C. So, B ∈ C is true.

4. A ∈ D: Set A is an element of set D. Hence, A ∈ D is true.

5. A ⊆ D: Every element of set A is also an element of set D. So, A ⊆ D is true.

6. B ⊂ D: Every element of set B is also an element of set D, but B is not equal to D. Thus, B is a proper subset of D, satisfying B ⊂ D.

7. A ⊆ N: Set A, which is {1, 2, 3}, is a subset of the set of natural numbers (N). So, A ⊆ N is true.

8. B ⊆ N: Set B, which is {2, 3, 4}, is also a subset of the set of natural numbers (N). Therefore, B ⊆ N is true.

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Answer:

1

Step-by-step explanation:

Given,

Mass ( m ) = 500 g

Volume ( V ) = 500 ml

To find : Density ( D ) = ?

Formula : -

D = m / V

D = 500 / 500

D = 1 g/ml

Hence,

1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.

To show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent, you can use the Side-Side-Side (SSS) similarity criterion.

The SSS similarity criterion states that if the corresponding sides of two triangles are proportional and their corresponding angles are congruent, then the triangles are similar.
To prove this, follow these steps:

1. Given two triangles, let's call them triangle ABC and triangle DEF.
2. Identify two corresponding sides in each triangle that you want to show are proportional. Let's say AB and DE.
3. Also, identify the corresponding included angles, which are the angles formed by the corresponding sides. Let's say angle BAC and angle EDF.
4. Using the given information, state that AB/DE = BC/EF.
5. Now, prove that angle BAC = angle EDF. You can do this by showing that the two angles have the same measure or that they are congruent.
6. Once you have established that AB/DE = BC/EF and angle BAC = angle EDF, you can conclude that triangle ABC is similar to triangle DEF using the SSS similarity criterion.
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Answer:

-x + 11

Step-by-step explanation:

Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3.  Combine the two like terms together to get the final answer which is -x + 11.

To rewrite the function in the chain rule form, we need to find two functions f(u) and g(x) such that y = f(u) and u = g(x). The function u(x) represents the inner function, while the function f(u) represents the outer function.

Once we have found f(u) and g(x), we can use the chain rule to find the derivative of y with respect to x, which will give us Y as a function of x. The chain rule tells us that the derivative of a composite function is equal to the derivative of the outer function evaluated at the inner function times the derivative of the inner function with respect to x.

Since {f(u), u} = {C}, we can take f(u) = C/u and u = g(x) = x^2. Thus, y = f(u) = C/x^2.

To find Y, we substitute x = 2t into the expression for y, which gives us:

Y = C/(2t)^2 = C/4t^2

Therefore, Y = C/4x^2.

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The number of solutions of the system Ax = c is one, meaning it has a unique solution.

Let's discuss it further below.

Since the system Ax = b has a unique solution, this implies that matrix A has a rank of 3 (full column rank). Given that A is a 4x3 matrix and b and c are vectors in R4, we know that the system Ax = c also has a 4x3 matrix A and a vector c in R4.

Since A has full column rank, it means that the columns of A are linearly independent and the column space of A spans R3. This ensures that for any vector c in R4, the system Ax = c will also have a unique solution.

In conclusion, the number of solutions of the system Ax = c is one, meaning it has a unique solution.

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Answer:

They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other

Step-by-step explanation:

PQ=PA+QA

PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p

CB=2q+3p=2(q+3/2p)

Answer: Commutative Property of multiplication

Step-by-step explanation:

The property illustrated in the given statement "x=y so 4x=4y" is: Multiplication property of equality. Correct option is D.

The Multiplication Property of Equality states that if you have an equation, and you multiply both sides of the equation by the same non-zero number, the resulting equation remains true.

In the given statement "x=y," it means that x and y are equal. Now, if you multiply both sides of this equation by the non-zero number 4, you get:

4x = 4y

The relationship between x and y hasn't changed because you're multiplying both sides of the equation by the same number (4). This is a direct application of the Multiplication Property of Equality. It maintains the equality between the quantities involved.

So, the statement "x=y so 4x=4y" illustrates the Multiplication Property of Equality because it shows that if two quantities are equal (x=y), then multiplying both sides by the same non-zero number (4) preserves that equality (4x=4y).

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Answer:

B

Step-by-step explanation:

The measure of angle QOB is  75°.

What is right angle?

90 degrees is the angle of a right.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The symbol stands for a right angle.

Given:

Point O is the incenter of triangle ABC.

Lines are drawn from the points of the triangle to point O.

Lines are drawn from point O to the sides of the triangle to form right angles and line segments OQ, OR, and OS.

Angle OBC is 15 degrees. Angle OCR is 30 degrees.

OBC= 15

OCR =30

In OBQ

OBQ + QOB + OQB = 180

OBQ= OBC=15

OQB= 90

So,

QOB = 180- OBQ- OQB

= 180-15 -90

= 75

Hence, the measure of angle QOB is  75°.

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Answer:

The temperature is: 14.5 degrees

Step-by-step explanation:

Given

\(T = 4 \cos(30(t - 8)) + 16\)

Required

The temperature at 4:15

We have:

\(t = 4:15\)

Convert to hours

\(t = 4+\frac{15}{60}\)

\(t = 4+0.25\)

\(t = 4.25\)

So:

\(T = 4 \cos(30(t - 8)) + 16\)

\(T = 4 \cos(30(4.25 - 8)) + 16\)

\(T = 4 \cos(30(-3.75)) + 16\)

Open bracket

\(T = 4 \cos(-112.5) + 16\)

\(T = 4 *-0.3826 + 16\)

\(T = -1.5304 + 16\)

\(T = 14.4696\)

Approximate

\(T = 14.5^o\)

The probability that a student drives to school, given that they are a senior, is approximately 0.71, rounded to the nearest hundredth.

We can use Bayes' theorem to find the probability that a senior student drives to school, given that they are a senior.

First, we need to calculate the probability of a student being a senior:

\(P(senior) = \frac{25+5+5}{(2+25+3+13+20+2+25+5+5)} = \frac{35}{100} = 0.35\)

Next, we need to calculate the probability of a senior student driving to school:

P(drive ∩ senior) = 25/100 = 0.25

Now we can apply Bayes' theorem:

P(drive | senior) = P(drive ∩ senior) / P(senior)

P(drive | senior) = 0.25 / 0.35 ≈ 0.71

Therefore, the probability that a student drives to school, given that they are a senior, is approximately 0.71, rounded to the nearest hundredth.

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Answer:

13/40

Step-by-step explanation:

Total No of pupils = 40

No of pupils who play the flute = 15

No of pupils who play the Piano = 7

No of pupils who play both = 5

Total No of pupils who can play the atleast one instrument = 15+5+7= 27

No one pupils who play neither instrument = 40 - 27 = 13

Probability of a pupil being chosen at random who plays neither instrument = No of Pupils who play neither instrument/ Total No of pupils = 13/40

Therefore the answer will be 13/40

Answer:

because SAS , NYC , PAC all are together

Step-by-step explanation:

The given statement in the question is SAS.

We are given that;

Trapezoid NYAP

Now,

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

One possible given statement is that ∠NYC = ∠PAC.

This is because the base angles of an isosceles trapezoid are congruent. Since C is the midpoint of YA,

we know that YC = CA by the definition of midpoint.

Also, NC = CP is given.

by SAS, we can conclude that △NYC ≅ △PAC.

Therefore, by congruent triangles the answer will be SAS.

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The measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

The dilation if the triangle ABC implies it is bigger than the triangle A'B'C' with a scale factor 1/2 since AC = 10 and A'C' = 5

side A'B' = 8 × 1/2

side A'B' = 4

Therefore, the measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

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Answer:

the answer is B, 4. :)

The amount needed in the account is 182,713.25 dollars then the correct option is B.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

Then the formula of monthly payment (MP) will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

The formula can be written as

\(\rm P = MP \times \dfrac{(1+r)^n-1}{r(1+r)^n}\\\)

You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually.

The amount needed in the account is such that you can withdraw the needed amount at the end of each period for 15 years will be

MP = $6951.20

r = 0.00875

n = 30

Then we have

\(\rm P = 6951.20 \times \dfrac{(1+0.00875)^{30}-1}{0.00875(1+0.00875)^{30}}\\\\P = \$182713.25\)

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Step-by-step explanation:

The compounds that are found on the left of a chemical reaction (the side with the arrow's tail) are the reactants. Therefore our reactants are Iron(III) oxide and Carbon monoxide.

The compounds found on the right-hand side of a chemical reaction/after the arrow are the products. Therefore our products are Iron and Carbon dioxide.

Answer:

\(\large \boxed{\sf Reactants \rightarrow Fe_2O_3, \ CO}\)

\(\large \boxed{\sf Products \rightarrow Fe, \ CO_2}\)

Step-by-step explanation:

The substance(s) to the left of the arrow are called reactants

The substance(s) to the right of the arrow are called products

Answer:

1080ft cubed

Step-by-step explanation:

The formula is "lenght times width times height."

Answer:

x=5

Step-by-step explanation:

Since the two angle are corresponding, they have equal measure

therefore, 22x=110

now that we have produced an equation, solve for the value of x

22x/22 = 110/22

x=5

hope this helps :)

Answer:

22x=110° (corr angles)

x=110÷22

=5