Deandra is doing her math homework. She completed the first 6 problems in 2 hours and the last 12 problems in 3 hours.

Which best describes Deandra’s rate for completing her homework?

Answer:

x= 30 units

Step-by-step explanation:

so the small triangle of sides 3 and 6 is similar to the big triangle of side 3+15 and 6+ x units.(by A.A.A.axiom)

now since the triangles are similar their sides become proportional

i.e.

3/6= (15+3)/(6+x)

or, 1/2 = 18/(6+x)

or 6+x= 36

therefore x=30

The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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Answer:

t = -3

Step-by-step explanation:

To solve, you can divide both side of the equation by 6:

- 18 / 6 = -3

6t / 6 = t

-3 = t

Answer:

Answer = t = -3

please mark as brainliest

For the inequalities y ≥ 0, x ≥ 0, and y ≤ -2x + 4, the vertices are obtained as option B (0,0), (2,0), (0,4).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

To find the vertices of the feasible region defined by the system of inequalities y ≥ 0, x ≥ 0, and y ≤ -2x + 4, we need to graph the three inequalities and find the points where they intersect.

First, we graph the line y = -2x + 4.

To do this, we can plot the y-intercept at (0, 4) and use the slope of -2 to find another point.

Since the slope is negative, we can draw the line sloping downwards from left to right.

Next, we shade the region below the line y = -2x + 4 to satisfy the inequality y ≤ -2x + 4.

This region includes the line itself, since it is less than or equal to, but not above it.

Finally, we shade the region above the x-axis (y ≥ 0) and to the right of the y-axis (x ≥ 0).

The vertices of the feasible region are the points where the boundary lines intersect.

In this case, there are three vertices.

(0, 0) where the x-axis and y-axis intersect

(2, 0) where the line y = -2x + 4 intersects the x-axis

(0, 4) where the line y = -2x + 4 intersects the y-axis

Therefore, the vertices are (B) (0,0), (2,0), (0,4).

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Answer:

\(5800\)

Step-by-step explanation:

Hope it is helpful...

Answer:

5800

Step-by-step explanation:

5763

7 is in the hundreds place

We look at the tens place to determine how to round

If the tens place is 5 or above we round up, if it is 4 or less- leave it alone

Since 6 is 5 or above, we round the 7 up

5763 rounds to 5800

Here, we have labeled the first tick mark as 10⁷ and increased the power of 10 by 1 for each tick mark to the left:

|------|------|------|------|------|------|------|------|------|------|------|

10⁷  10⁸  10⁹   10¹⁰  10¹¹  10¹²  10¹³  10¹⁴  10¹⁵  10¹⁶  10¹⁷

                                      P      P      P

                                          T

                                  P      P      P      P

A number line is a visual representation of numbers, where numbers are placed in order on a straight line. The line is usually horizontal, with zero in the middle and positive numbers on the right and negative numbers on the left. It is a useful tool for understanding and comparing numbers, as well as for performing mathematical operations such as addition, subtraction, multiplication, and division.

Here,

b) To plot the populations on a number line, we need to convert the numbers from scientific notation to standard notation:

Panama: 4x10⁶ = 4,000,000

Peru: 3.2x10⁷ = 32,000,000

Thailand: 7x10⁷ = 70,000,000

We can label the number line with multiples of 10, starting from 0 to the right and increasing by powers of 10 to the left. For example:

|------|------|------|------|------|------|------|------|------|------|------|

10⁷  10⁸  10⁹   10¹⁰  10¹¹  10¹²  10¹³  10¹⁴  10¹⁵  10¹⁶  10¹⁷

We labeled the tick marks where the countries' populations fall with the first letter of each country's name.

c) To label the furthest right box on the number line so that all three countries' populations fit, we need to find the smallest power of 10 that is greater than or equal to the largest population. The largest population is Thailand's, which is 7x10⁷. The next power of 10 greater than or equal to this is 10⁸. Therefore, we can label the furthest right box with 10⁸.

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The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

1. The Fill ups are as follow:

AB² +  BC² = AC. AD + AC. CD

2. Segment addition postulate

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

BC/ AC = CD/ BC and AB/ AC = AD/ AB

Now, BC² = AC. CD  and AB² = AC. AD

Using, Addition Property of Equality

AB² +  BC² = AC. AD + AC. CD

and, AB² +  BC² = AC (AD + CD)  [factor]

AD + CD = AD (segment addition postulate)

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PLATO

i got it correct :)

Answer: 90

Step-by-step explanation:

If you do the following:

100% of 60 = 60

50% of 60 = 30

60 + 30 = 90

Answer:

Step-by-step explanation:

the answer is 0.01

The base of the exponential form  is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100

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Answer:

260m

Step-by-step explanation:

the length and the width of a football field is 80m and 50 meters.

perimeter- (80+50)×2= 260m

hope it helps

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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\(4(y + 4) = 32 \\ y + 4 = \frac{32}{4} \\ y + 4 = 8 \\ y = 8 - 4 \\ y = 4\)

Answer: y = 4

Step-by-step explanation:

     To solve, we will isolate the y variable.

     Given:

4(y + 4) = 32

     Distribute the 4 with multiplication:

4y + 16 = 32

     Subtract 16 from both sides of the equation:

4y = 16

     Divide both sides of the equation by 4:

y = 4

Answer:

\(Each\ Part = 4.29\ ft\)

Step-by-step explanation:

Given

\(Length = 30\ ft\)

\(Parts = 7\)

Required

Determine the length of each part

This is calculated as:

\(Each\ Part = \frac{Length}{Parts}\)

\(Each\ Part = \frac{30\ ft}{7}\)

\(Each\ Part = \frac{30}{7}\ ft\)

\(Each\ Part = 4.29\ ft\) -- approximated

Hence, the length of each part is approximately 4.29ft

Step-by-step explanation:

100% = 575

1% = 575÷100 = 5.75

60% = 5.75 × 60 = 345

Answer:

let me think

Step-by-step explanation:

i want free points

The reduced price of the swimsuit is $28.05 being obtained by using the mark down  value and selling price of the product.

Explain Pricing?

A price technique that allows for discussion between the supplier and the buyer is flexible pricing. The supplier does not provide a fixed price while using this tactic. They decide on a price range in advance so that they can haggle with the customer. A vendor will have a minimum number they can take and a maximum number they may charge when using flexible pricing.

Using the formula M=S-N, where M is the mark down, S is the original selling price, and N is the reduced price, we can find the reduced price of each swimsuit as follows:

M = $17.90

S = $45.95

N = S - M

N = $45.95 - $17.90

N = $28.05

Therefore, the reduced price of each swimsuit is $28.05.

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The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer:

the experiment is mine is my favorite but us and I can you too I don't revel in a bit if ok to come to

Answer:

D. SSS theorem

Step-by-step explanation:

The triangles have similarity by 3 sides:

So the answer is SSS

It would take 3.43 hours to paint living room working together.

In this question, we have been given Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours.

We need to find the amount of time required them working together.

Let they need 'x' hours to paint living room together.

So, we get an equation,

1/6 + 1/8 = 1/x

We need to find the value of x.

1/x = (8 + 6) / 48

1/x = 14/48

x = 48 / 14

x = 3.43 hours

Therefore, it would take 3.43 hours to paint living room working together.

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The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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Answer:

B.

Step-by-step explanation:

B is the least expensive

Answer:

  15 : 20 : 8

Step-by-step explanation:

Given ratios a:b = 3:4 and b:c = 5:2, you want the ratio a:b:c in simplest form.

The extended ratio you want can be written only when the number of ratio units associated with 'b' is the same in both ratios. Multiplying the first ratio by 5, we get ...

  a:b = 3:4 = 15:20

Multiplying the second ratio by 4 gives ...

  b:c = 5:2 = 20:8

Now, 20 "ratio units" represent 'b' in both ratios, so we can combine them:

  a:b:c = 15:20:8

__

Additional comment

The value we chose to represent 'b' is the least common multiple (LCM) of the values that represent 'b' in the given (reduced) ratios.

Answer:

y=x^4 is a function

Explanation:

A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value. Therefore, x^4 is a function.

The given expression y = x⁴ is a function.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value.

Therefore, the given expression y = x⁴ is a function.

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Answer: Triangle C.

Step-by-Step Explanation:

To solve this problem, we need to understand what it means for a triangle to be a translation of another triangle. A translation for a triangle means that it is the same shape and size as the original triangle, but it has shifted (or moved) a specific number of units either up, down, left, or right.

In this problem, we have Triangle P, which has been shifted 5 units to the right and 7 units up to form Triangle C. To determine which triangle is a translation of Triangle P, we can look at the coordinates of the different triangles.

Triangle A: (1, 4), (3, 7), (5, 6)

Triangle B: (2, 3), (4, 6), (6, 5)

Triangle C: (6, 11), (8, 14), (10, 13)

Triangle D: (3, 5), (5, 8), (7, 7)

If we compare the coordinates of each triangle with those of Triangle P, we can see that Triangle C, with coordinates (6, 11), (8, 14) and (10, 13), is the translation of Triangle P because all of the coordinates of Triangle P have been shifted 5 units to the right, and 7 units up. Therefore, the answer is Triangle C.

The discriminant of a quadratic equation is a value derived from the coefficients of the quadratic equation that can be used to determine the nature of the roots of the equation. The discriminant of the equation\(5x^2 - 5x -1 = 0\) is 45. The equation has two real and distinct roots, which are \(x = (1 + \sqrt{5} )/2\) and \(x = (1 - \sqrt{5} )/2.\)

The discriminant of a quadratic equation of the form\(ax^2 + bx + c = 0\) is given by the expression \(b^2 - 4ac\).

To compute the discriminant of the equation\(5x^2 - 5x -1 = 0\), we can use the formula,\(b^2 - 4ac = (-5)^2 - 4(5)(-1) = 25 + 20 = 45.\)

Since the discriminant is positive and greater than zero, the equation has two real and distinct roots.

We can use the quadratic formula to find the solutions of the equation.

The quadratic formula is given by \(x = (-b \pm\sqrt{(b^2 - 4ac)} )/2a.\)

Substituting the values of a, b, and c into the formula, we have:

\(x = (-(-5) \pm \sqrt{( (-5)^2 - 4(5)(-1) ))} /2(5) x = (5 \pm\sqrt{45} )/10\)

Therefore, the solutions of the equation are \(x = (5 + \sqrt{45} )/10 and x = (5 - \sqrt{45} )/10.\)

These solutions can be simplified to \(x = (1 + \sqrt{5} )/2\) and\(x = (1 - \sqrt{5} )/2,\)respectively.

In summary, the discriminant of the equation \(5x^2 - 5x -1 = 0 is 45.\)

The equation has two real and distinct roots, which are \(x = (1 + \sqrt{5} )/2\)and \(x = (1 - \sqrt{5} )/2.\)

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