Which expression is equivalent to 32 ⋅ 3−5?

Answer:

Step-by-step explanation: 1.4  -  1.45  -  1.54  -  10.4  -  10.54  

Least to greatest

After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

To know more about Area and Perimeter visit:

https://brainly.com/question/11957642

#SPJ1

Answer:

The y-intercept is (0, 4).

To solve for y as a regular equation: y = 4 - 10x/3

Step-by-step explanation:

The y- intercept of the given equation is B

The given equation is 10x+3y=12, we need to find the y intercept

What is slope intercept form of a line?

y=mx+b

10x+3y=12

3y=12-10x

y=4-10/3 x

y=-10/3x+4

Where -10/3 is slope and 4 is the y- intercept

To know more about slope intercept click here https://brainly.com/question/19824331

#SPJ2

Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

The linear function there after 18 minutes of calls, then the credit was = $29

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that,

Slope = -0.16

There linear function is $29.00 in credit remaining on the card after 25 minutes of calls

There after 18 minutes of calls?

Slope m = -0.16

Let us assume,

x = 25 minutes

y = $29.00 in credit

Substitute this values,

So,

We can write,

y = mx + b

$29.00 = (-0.16) (25) + b

$29.00 = -24.84 + b

b = $29.00 + 24.84

b = $53.84

We can substitute b value,

y = mx + b

y = (-0.16) x + $53.84

y = \(-0.16x\) + $53.84

y = (-0.16)(25) + $53.84

y = -24.84 + $53.84

y = $29

Therefore,

The linear function there after 18 minutes of calls, then the credit was = $29

To learn more about Linear function problems visit :

brainly.com/question/21107621

#SPJ4

The smallest possible value of the number that is an integer is -21

From the question, we are to determine the smallest possible value of the number

From the given information, we have that

"Twenty less than a number is more than twice the same number"
Let the number be x

Then,

we can write that

x - 20 > 2x

Now, we will solve for x

x - 20 > 2x

-20 > 2x - x

-20 > x

Therefore,

x < -20

The possible integers are -21, -22, -23, -24, -25, -26, ...

Then,

The smallest integer is -21

Learn more on Determining a number here: https://brainly.com/question/13966934

#SPJ1

Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

Answer:

Linear

Step-by-step explanation:

It increases by a steady rate, so it is linear.

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

For more questions on algebraic equations

https://brainly.com/question/4344214

#SPJ8

Answer:

x = 26 degrees

Step-by-step explanation:

Supplementary angles mean that they sum up to be 180 degrees therefore

C + D = 180 degrees

128 degrees + D = 180 degrees

D = 180 degrees - 128 degrees

D = 52 degrees

If the measure of the angle D is two times the value of x then x is...

x = D/2

x = 52 degrees / 2

x = 26 degrees

Answer:

Step-by-step explanation:

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

Learn more about percentage on:

brainly.com/question/843074

#SPJ1

a) The scatter plot shows a negative association

b) As the number of peaches sold increases, the price of peaches decreases

Answer:

B (39)

Step-by-step explanation:

Multiply the Number of Packs of Dog Food by 39.

3 x 39 = 117

4 x 39 = 156

5 x 39 = 195

Answer:

98

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area:

Circumference:

Substitute values in area:

Circumference is:

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

To know more about fractions visit the link

https://brainly.com/question/10354322?referrer=searchResults

#SPJ1

Answer:

(1,3)

Step-by-step explanation:

x go to first line on the x axis

go up 3 spaces to the y axis. that is where the intersection lies.

Answer:

80=320

? 700

Step-by-step explanation:

[80×700]÷320

=175

Answer: 175 gallons of fuel

Step-by-step explanation:

Quantity of fuel to fly = 80 gallons

Distance travelled using 80 gallons of fuel = 320 miles

Therefore, distance travelled by the flight in 1 gallon of fuel = 320 / 80

                                                                              = 4 miles/gallon

Now, Quantity of fuel needed for a 700 mile flight = 700 / 4

                                                                                  = 175 gallons

Therefore, 175 gallons of fuel is needed for a 700 mile flight.

It should be noted that Polygon 3 and polygon 4 are similar to polygon 1.

In geometry, it should be noted that a polygon is a plane figure which is described by a finite number of straight line segments that are connected in order to form a closed polygonal chain.

In this case, the bounded plane region, the bounding circuit, may be called a polygon. Also, a similarity transformation is the conformal mapping whose transformation matrix are identical.

In this case, it should be noted that Polygon 3 and polygon 4 are similar to polygon 1.

Learn more about polygon on:

https://brainly.com/question/24966296

#SPJ1

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer: \(m\angle DE F=90^{\circ}\)

Step-by-step explanation:

The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).

The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).

Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).

Answer:

51+x-5+y-6=180

x+y=180-51+5+6

X+y=140

Answer x=77 y=63

(those 2 lines with the arrows are perpendicular so their angles are the same 72° and (x-5)=77-5= 72°)

The values of x and y are 77 and 63 respectively.

Angle is defined as the figure formed by two lines or rays which has a common point of intersection where the angle is formed.

Sum of the interior angles of a triangle is supplementary.

That is three angles (y - 6)°, 72° and an unknown angle is supplementary.

We have two parallel lines given and a transversal line intersects the parallel lines.

So the unknown angle of the triangle and the angle 51° are alternate interior angles and are thus equal.

So the third angle of the triangle = 51°

(y - 6) + 72 + 51 = 180

y - 6 + 123 = 180

y + 117 = 180

y = 63

The angles (x - 5)°, 51° and (y - 6)° are supplementary.

(x - 5) + 51 + (y - 6) = 180

x - 5 + 51 + 63 - 6 = 180

x + 103 = 180

x = 77

Hence the value of x is 77 and the value of y is 63.

To learn more about Angles, click on the link given below :

https://brainly.com/question/28451077

#SPJ2

Yes, there is enough information to prove m||n.

By using the Vertical Angles Theorem, Corresponding Angles Theorem, and Alternate Exterior Angles Theorem we can prove that line m is parallel to line n.

In the given figure,

Let the given angles formed by transversal r, adjacent to line m be angle 1, and to line n be angle 2.

Now, the vertically opposite angle to angle 1 will be equal to it as they both are congruent.

The vertically opposite angle equal to angle 1 would be corresponding to angle 2 and corresponding angles formed by a transversal are equal and congruent.

Moreover, angle 1 and angle 2 are alternate exterior angles and by Alternate Exterior Angles Theorem, they are congruent.

Hence, it is proved by the Vertical Angles Theorem, Corresponding Angles Theorem, and Alternate Exterior Angles Theorem that line m is parallel to line n (m||n).

To learn more about parallel lines visit:

https://brainly.com/question/12027854

#SPJ13

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

Answer:

y=1/3x+5/3

Step-by-step explanation:

use the equation y=mx+b plug in slope for m, -2 for x and 1 for y