If Blake wanted to use the Substitution method to solve the following system of equations, what could be a good first
step?
31 + 4y=17
2 + 6y=24
A Cancel out the "x" terms
B Multiply the second equation by (-3)
Add 3 to the second equation
Solve the second equation for x​

Answer:

A. is the answer

Sorry if i'm wrong

Answer:

whats the question?

Step-by-step explanation:

also have a nice day!^^

Answer:

95

Step-by-step explanation:

12th square number

= 12 × 12

= 144

7th square number

= 7 × 7

= 49

Difference between the 12th square number and the

7th square number

= 12th square number - 7th square number

= 144 - 49

= 95

Difference between the 12th square number and the

7th square number = 95

Comparing the two slopes, we can see that the slope of function 1 (1/3) is less than the slope of function 2 (3/4). Therefore, it has  greater slope.

what is  slopes?

In mathematics, a slope is measure of the steepness of a line or a curve. It is defined as ratio of change in the y-coordinate to the change in the x-coordinate between two points on  line or curve.

what is   function ?

In computer programming, a function is a block of organized, reusable code that performs a specific task. A function takes input (arguments) and produces output, often modifying some internal state or performing some computation based on the input

In the given question,

To compare the slopes of the two functions, we need to determine the slope of each function.

For function 1, y = (1/3)x + 1/2, we can see that the coefficient of x is 1/3. Therefore, the slope of function 1 is 1/3.

For function 2, we can see from the graph that the line passes through the points (0, 2) and (4, 5). We can use these two points to find the slope using the formula:

slope = (change in y) / (change in x)

slope = (5 - 2) / (4 - 0) = 3/4

Therefore, the slope of function 2 is 3/4.

Comparing the two slopes, we can see that the slope of function 1 (1/3) is less than the slope of function 2 (3/4). Therefore, function 2 has a greater slope.

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To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.

Given that u = v × w, let's calculate the cross product of w and u:

w × u = (u × v) × u

Since the cross product is not associative, we need to use the vector triple product identity:

w × u = u × (v × u) - (u · u) v

Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:

w × u = u × (v × u)

Next, let's calculate the cross product of v and u:

v × u = (u × v) × v

Using the vector triple product identity:

v × u = v × (u × v) + (v · v) u

Again, since u is orthogonal to v, the dot product (v · v) is zero:

v × u = v × (u × v)

Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.

In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.

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On solving the provided question, we can say that by equation 8 trainees are in group X

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Let a be the number of trainees in group X

76*a + 70 (30 - a) = 30*74

76a + 2,100 - 70a = 2,220

6a = 120

a = 20

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Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a polygon (has four sides and four angles) in which opposite sides are parallel and equal to each other. Opposite angles are equal and consecutive angles are supplementary. Also, the diagonals bisect each other.

BC = AD (opposite sides are equal)

BC = 10 cm

m∠BCD = m∠DAB (opposite angles are equal)

m∠BCD = 120°

AB = DC (opposite sides are equal)

AB = 5 cm

EB = DE (diagonals bisect each other at point E)

EB = 6.1 cm

Answer:

BC = 10

m∠BCD?=120

AB=5

EB=6.1

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

Answer:

-14

Step-by-step explanation:

Step-by-step explanation:

The expression for he earning of Allison and her allowance is as follows :

15x+100y

Part A

Variables are x and y. Coefficients are 15 and 100.

Part (B)

There are two terms in this expression. + is used to separate the terms. 15x and 100y are the terms.

Part (C) As $15 shows her earning from allowances. Hence, 15x shows allowance.

Answer:

4 weeks

Step-by-step explanation:

3 ÷ 3/4 or 0.75 = 4

The probability that the car will get 100 miles per gallon or better is 0.9938 or approximately 99.38%.

According to the question, Mean of gas mileage, μ = 75 miles per gallon and Standard deviation of gas mileage, σ = 10 miles per gallon

We are supposed to find the probability that if driven normally, the car will get 100 miles per gallon or better. Therefore, we need to calculate the z-score first. Z-score is given as:

z = (X - μ) / σ

where X is the value for which we need to find the probability.

Here, X = 100 miles per gallon, μ = 75 miles per gallon, and σ = 10 miles per gallon

z = (X - μ) / σ = (100 - 75) / 10 = 2.5

Now, we can use the standard normal distribution table to find the required probability. Using the standard normal distribution table, we can find that the probability of z-score being less than or equal to 2.5 is 0.9938.

Therefore, the probability of the car getting 100 miles per gallon or better is 0.9938 (or approximately 99.38%).

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To find the probability that the car will get 100 miles per gallon or better, calculate the z-score and use a standard normal distribution table or calculator to find the probability.

To find the probability that the car will get 100 miles per gallon or better, we need to calculate the area under the normal distribution curve to the right of 100 miles per gallon. First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the value (100), μ is the mean (75), and σ is the standard deviation (10). Substituting these values, we get z = (100 - 75) / 10 = 2.5.

We can then use a standard normal distribution table or a calculator to find the probability associated with a z-score of 2.5. Looking up the z-score in the table, we find that the probability is approximately 0.9938.

Therefore, the probability that the car will get 100 miles per gallon or better is approximately 0.9938, or 99.38%.

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Answer:

x ≈ 9.5

Step-by-step explanation:

using the cosine ratio in the right triangle

cos19° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{10}\) ( multiply both sides by 10 )

10 × cos19° = x , then

x ≈ 9.5 ( to the nearest tenth )

Answer:

The equation that represents Karla's sentence is 4y = y + 15

Step-by-step explanation:

From the question,

Four times a number is equal to the number increased by 15. To write the equation that represents the sentence, we will have to use a variable to represent the unknown number.

Since we are asked to use y for the variable, that is, let the number be y

Then

The statement, "four times a number" will be

4×y = 4y

and this is equal to the number increased by 15,

The number increased by 15 means y + 15.

Hence, the equation becomes

4y = y + 15

This is the equation that represent Karla's sentence.

If desired,

The unknown number can be determined by solving for y in the equation

4y = y + 15

First, Collect like terms

4y - y = 15

3y = 15

Then, Divide both sides by 3

3y/3 = 15/3

y = 5

Hence, the variable (unknown number) is 5.

Answer:

C

Step-by-step explanation:

C because it has sides unequal in length.

Answer: C

Step-by-step explanation:

Isosceles: 2 sides equal

Acute: angles are less than 90 degrees

Scalene: All side lengths are different

Equilateral: All sides are equal

The maximum profit will be $87,000.

To find the quantity of things that will augment the benefit, we want to find the vertex of the parabola addressed by the given capability.

The vertex of a parabola in the form of\(y = ax^2 + bx + c\) is located at the point \((-b/2a, c - b^2/4a)\).

So for the function \(P(x) = -3x^2 + 12x + 75,\) the coefficient of \(x^2\) is -3, the coefficient of x is 12, and the constant term is 75.

Therefore, the number of items that will maximize the profit is:

x = -b/2a = -12 / 2(-3) = 2

The second derivative test is something we can use to make sure that this is a maximum. The vertex is a maximum when the second derivative of P(x) is -6, which is negative.

Since x is in thousands, the maximum profit occurs when 2,000 items are produced, and the maximum profit is:

\(P(2) = -3(2)^2 + 12(2) + 75 = 87\)

Hence, the business will boost its benefit by making 2,000 things, and the most extreme benefit will be $87,000.

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Answer:

D. 1

Step-by-step explanation:

16+2x = 10+8x

6 = 6x

x = 1

BC and AD parallel and congruent (=) to each other

Answer:

it should be y= -4x + 10

Step-by-step explanation:

hope this helps.

Answer:

The value of n is 21.

Step-by-step explanation:

We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.

As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).

And, the exterior angle = 180° - the interior angle.

So, according to the question;

\((3 \times 50) + (180-127) + (180 - 135) + (n - 5)\times (180-173) =360\)

150 + 53 + 45 + 7(n - 5) = 360

248 + 7n - 35 = 360

213 + 7n = 360

7n = 360 - 213

7n = 147

n = \(\frac{147}{7}\)

n = 21

Hence, the value of n is 21 and this is a 21-sided polygon.

Answer:

Step-by-step explanation:The population in the trapezoid-shaped region shown is about 7000 people. How many people are there per square mile?

Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Step-by-step explanation:

EDGE2021

Answer:

m<B=74°

Step-by-step explanation:

3x-23+2x-12=180

5x-35=180

5x=180+35

5x=215

x=215÷5

x=43

m<B=2x-12=2(43)-12=86-12=74

answer:

b= 10x i pretty sure

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Pemdas is the order of operations

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

16

Step-by-step explanation:

3 x 6 - 12 / 6.

18 - 2

  16

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 ​minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 18 minutes. A. Write the equation. Let d be the distance of the flowerbed from the hive. B. how far away is the hive from the flower bed.

First we need to calculate the time taken by the bee to fly to a flowerbird to its hive using the formula;

Speed = Distance/Time

Time = Distance/Speed

If a bee flies at 12 feet per second directly to a flowerbed from its hive, then the time taken by the bee is expressed as;

t1 = d/12 ....... 1

If the bee then flies directly back to the hive at 8 feet per second, the time taken by the bird will be:

t2 = d/8 ....... 2

Total time taken by the bee to and fro will be the sum total of both times;

t1+t2 = d/12+d/8

t11+t2 = 2d+3d/24

t1+t2 = 5d/24 ........ 3

If the bee stays at the bee stays at the flowerbed for 14 ​minute and away from the hive for 18minutes, the total time used by the bird during the journey will be 18-14 = 4 minutes

converting 4 minutes to seconds

4 minutes = 4*60 = 240seconds

The equation that can be used to find the distance of the flowerbed from the​ hive is gotten by equating equation 3 to  the total time used by the bird during the journey i.e;

5d/24 = 240

5d = 24*240

5d = 5760

b) To know how far is the flowerbed from the​ hive, we will solve the resulting equation in a for the value of d as shown

Given 5d = 5760

Divide both sides by 5

5d/5 = 5760/5

d = 1152ft

Hence the distance of the flowerbed from the​ hive is 1152ft

Answer:

(180-110)/7

Step-by-step explanation:

angles on a straight line add up to 180

The vertices of the ellipse are (-4,2) and (4,2), since these points lie on the major axis of the ellipse which is horizontal.

Two of the focuses given in the issue, (−4,2) and (4,2), are both situated on a similar even line. This implies that the significant hub of the oval should be level. Two different focuses given in the issue, (2,2) and (- 9,2), are likewise situated on this level line. Thusly, the focal point of the oval is the midpoint between the focuses (- 4,2) and (4,2), which is (0,2).

The other two focuses given in the issue, (−5,5) and (−5,−1), are situated on an upward line that goes through the focal point of the oval. This implies that the minor pivot of the oval should be vertical.

The vertices of the oval are the places where the significant hub meets the circle. Since the significant hub goes through the focuses (−4,2) and (4,2), the vertices of the oval are (- 4,2) and (4,2).

In this way, the vertices of the oval are (- 4,2) and (4,2).

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Answer:

Step-by-step explanation:

-5(7m-2)

-5*7m-(-5)*-2

-35m+10

The expansion of an equivalent expression −5(7m−2) is -35m + 10.

Distributive property says that the sum of two or more addends multiplied by a number, gives the same answer as distributing the multiplier, multiplying each added separately, and adding the products together.

Given expression

−5(7m−2)

For expanding the expression, use distributive property

= -5 × 7m - (-5) × (-2)

= -35m + 5 × 2

= -35m + 10

Hence, The expansion of an equivalent expression −5(7m−2) is -35m + 10.

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Answer:

20 gesse will fill the gap

Explanation:

We were told that the V forms a right angle which means the angle is at 90 degrees.

From trigonometry, for a right angle triangle we have the opposite, hypotenose and adjacent, then here the 12 side is the opposite and 16 sides is the adjacent, then the hypotenose will be the gap we are looking for using below expression

a²+ b²= c²

So,

12²+ 16²= c²

144 + 256 = c²

c=√(144 + 256)

c = √400

c=20

Therefore, 20 gesse will fly in the missing gap of the V formation.

CHECK THE ATTACHMENT FOR THE TRIANGLE

BEST OF LUCK