1. Combine like terms in 2 + x + 3y + 4x + 2y + 5.
2. Combine like terms in 2x + 3xy + 4 + 5yx.
please due in 5 minutes please

Matt takes 157 seconds to run 1 lap.

Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken to run 8 laps = 1,256 seconds

To find time taken to run 1 lap, use the ratio property,

8 laps = 1256 seconds

1 lap = 1256/8 seconds

1 lap =  157 seconds

Matt takes 157 seconds to run 1 lap.

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The greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

From the given table, (0, 5) and (5, 15)

Here, slope(m)=(y2-y1)/(x2-x1) =(15-5)/(5-0)

= 10/5

= 2

Substitute m=2, (x, y)=(0, 5) in y=mx+c, we get

5=2(0)+c

c=5

Substitute m=2, c=5 in y=mx+c, we get

y=2x+5 --------(I)

From the graph, (-4, 0) and (0, 6)

Here, slope(m)=(6-0)/(0+4)

= 3/2

= 1.5

Substitute m=1.5, (x, y)=(0, 6) in y=mx+c, we get

6=1.5(0)+c

c=6

Substitute m=1.5, c=6 in y=mx+c, we get

y=1.5x+6 --------(II)

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.

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Answer:

138ft

Step-by-step explanation:

w = 23, h = 46

23 × 2 = 46

23 + 23 + 46 + 46 = 138

138ft is needed

good luck, hope this helps :)

Answer:

Step-by-step explanation:

P=2(L+W) and we are told L=2W so

P=2(2W+W)

P=2(3W)

P=6W and we are told W=23 yd so

P=6(23)

P=138 yd

Answer: 9514 1404 393

3 : 2

3/2

1.5

Step-by-step explanation:

Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)

3 ounces of peanuts to 2 ounces of almonds can be written as ...

 peanuts : almonds = 3 : 2 = 3/2 = 1.5

The simplified expression is 120x³ + 120x².

To simplify the expression 5x(2x+2)12x, we can use the distributive property of multiplication over addition and simplify the resulting terms.

First, we distribute 5x to the expression (2x+2), which gives us:

5x(2x+2) = 10x² + 10x

Next, we can multiply the result by 12x:

12x(10x² + 10x) = 120x³ + 120x²

Therefore, the simplified expression is 120x³ + 120x².

We can see that the original expression was a multiplication of three factors, and we used the distributive property to simplify it by expanding and multiplying the resulting terms. The final expression has a common factor of 120x², which we can factor out to get 120x²(x+1).

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Answer:

\( = 2\frac{2}{15} \)

Step-by-step explanation:

\( 3\frac{1}{3} - 1\frac{1}{5} \)

Convert both fractions to improper fractions

\( = \frac{10}{3} - \frac{6}{5} \)

To subtract, find a common denominator of 3 and 5.

\( = \frac{50 - 18}{15} \)

\( = \frac{32}{15} \)

\( = 2\frac{2}{15} \)

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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One possible solution of the system of inequalities is 14 chairs and 4 tables

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

So, the system of inequalities is

100x + 450y ≥ 3200

x + y ≤ 18

Here, we plot the graphs of 100x + 450y ≥ 3200 and x + y ≤ 18

From the graph, we have the solution to be

x = 14 and y = 4

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer:

$35 per plant

Step-by-step explanation:

You take the 140 and divide that by 4 to get your answer.

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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Answer:

\(\theta=45^{\circ}\)

Step-by-step explanation:

We are given that the equation of lines

\(x+\sqrt 3y=1\)

\((1-\sqrt 3)x+(1+\sqrt 3)y=8\)

According to question

The vector perpendicular to the lines is given by

\(i+\sqrt 3j\) and \((1-\sqrt 3)i+(1+\sqrt 3)j\)

Therefore, the  angle between two vectors is given by

\(cos\theta=\frac{a_1a_2+b_1b_2}{\sqrt{a^2_1+b^2_1}\sqrt{a^2_2+b^2_2}}\)

Using the formula

\(cos\theta=\frac{1(1-\sqrt 3)+\sqrt 3(1+\sqrt 3)}{2\times 2\sqrt 2}\)

\(cos\theta=\frac{1-\sqrt 3+\sqrt 3+3}{4\sqrt 2}=\frac{1}{\sqrt 2}\)

\(cos\theta=cos 45^{\circ}\)

\(\theta=45^{\circ}\)

Hence, the acute angle between the lines is given by

\(\theta=45^{\circ}\)

Answer:

20 guests

Step-by-step explanation:

20 (20) + 400 = 400 + 400 = 800

10 (20) + 600 = 200 + 600 = 800

answer B = 20 guests

Answer:

For 20 persons the price would be same.

Step-by-step explanation:

y=y

20x+400=10x+600

20x-10x=600-400

10x=200

x=20

Therefore, for 20 persons the price would be same.

Answer: 2a - 14 = 2(a - 7)

Step-by-step explanation:

Because 2•a = 2a and 2•-7= -4 therefore, the answer is 2(a - 7).

Answer: -14

Step-by-step explanation:

Answer:B

Step-by-step explanation: Have a great day<3 :)

Answer:

C

Step-by-step explanation:

Because the three shapes listed all have at least one right angle as a right angle triangle has one and a square and a rectangle both have two each

Answer:

1/2^7

Step-by-step explanation:

Answer:

1/2^7

Step-by-step explanation:

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

\(17 > 5 - \frac{4}{3} x \\ 17 - 5 > - \frac{4}{3} x \\ 12 > - \frac{4}{3}x \\ \frac{3 \times 12}{4} > - x \\ 9 > - x \\ multily \: by - 1then \: > \: become \: < \\ - 9 < x \\ thank \: you\)

Therefore, the circumference of the outer circle is greater than the circumference of the inner circle by approximately 18.86 feet.

All sides and corners are absent from the spherical shape of a circle. Geometry refers to a circle as a closed, curved, two-dimensional object.

The circumference of a circle is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the circle. We are given that the circumference of the inner circle is 44 feet, so we can find the radius of the inner circle as follows:

44 = 2(22/7)r

r = 7

The distance between the inner and outer circles is given as 3 feet. Therefore, the radius of the outer circle is:

r' = r + 3 = 7 + 3 = 10

The circumference of the outer circle can be found as:

C' = 2πr' = 2(22/7)(10) = 62.86 feet (rounded to the nearest hundredth)

The difference between the circumference of the outer circle and the inner circle is:

C' - C = 62.86 - 44 = 18.86 feet (rounded to the nearest hundredth)

Therefore, the circumference of the outer circle is greater than the circumference of the inner circle by approximately 18.86 feet.

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The circumference οf the οuter circle is greater than the circumference οf the inner circle by apprοximately 6.28 feet, rοunded tο the nearest hundredth οf a fοοt.

Circumference is the distance arοund the edge οf a clοsed circular οbject, such as a circle, an ellipse, οr a sphere. It is the length οf the bοundary οf the shape. The fοrmula fοr finding the circumference οf a circle is C = 2πr, where C is the circumference, π (pi) is a mathematical cοnstant apprοximately equal tο 3.14, and r is the radius οf the circle.

The circumference οf a circle is given by the fοrmula C = 2πr, where C is the circumference and r is the radius οf the circle.

Let's first find the radius οf the inner circle. Since the circumference is given as 44 feet, we can set up the equatiοn:

44 = 2πr

Sοlving fοr r, we get:

r = 44/(2π) ≈ 7

Sο the radius οf the inner circle is apprοximately 7 feet.

The radius οf the οuter circle is 3 feet mοre than the radius οf the inner circle. Sο the radius οf the οuter circle is:

r + 3 = 7 + 3 = 10

The circumference οf the οuter circle is:

C = 2π(r + 3) = 2π(10) = 20π ≈ 62.83

The circumference οf the inner circle is:

C = 2πr = 2π(7) = 14π ≈ 43.98

The difference between the twο circumferences is:

20π - 14π ≈ 6.28

Hence, the circumference οf the οuter circle is greater than the circumference οf the inner circle by apprοximately 6.28 feet, rοunded tο the nearest hundredth οf a fοοt.

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The expression given is 3c + 5d and the expression when c = 24 and d =25 will be 197.

It should be noted that an expression is simply used to illustrate the relationship between the variables.

In this case, the expression given is 3c + 5d.

Therefore, the expression given is 3c + 5d and the expression when c = 24 and d =25 will be:

= 3c + 5d

= 3(24) + 5(25)

= 72 + 125

= 197

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Complete question:

The expression given is 3c + 5d. Evaluate the expression when c = 24 and d =25.

Answer:

5m x 5m, 6m x 4m and 7m x 4m

Step-by-step explanation:

in interval of 0.02 and for the same value of m.

Answer:

x = -8

Step-by-step explanation:

When h(x) = 48, you can simply just plug it back into the first equation. Don't let the h(x) confuse you!

Think of it like saying y = -4x + 16, y = 48.

48 = - 4x + 16

32 = - 4x

8 = -x

Divide by -1 both sides.

-8 = x

Answer:

Yes, the mean cycle time is greater than 3.5 hours

Step-by-step explanation:

Let us try to calculate the mean cycle time here. Consider the given cycle times. To obtain the mean cycle time, we have.

3.45 + 3.47 + 3.57 + 3.52 + 3.40 + 3.62/6 = 3.505 hours

Hence the difference 3.505 -3.5 = 0.005

Hence mean cycle time is greater than 3.5 by 0.005

Answer: mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set.

Step-by-step explanation:here a clue have a wonderful Christmas break ❄️

Answer:

1, 2, 3 and 6.

Step-by-step explanation:

Factors of 6 are 1, 2, 3 and 6.