Which situation is best modeled with a division expression?
the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6
the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each
the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4

Answer:

C

Step-by-step explanation:

Both triangles have three angles of the same value.

Remember that the angles in all triangles add up to 180°.

Let's use that to find out the unknown angles.

For the first triangle:

180 - 82 - 43 = 55°

55° is also in the second triangle.

Let's check with the second triangle:

180 - 82 - 55 = 43°

43° is also in the first triangle.

Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.

Hence, C.

Answer:

14,96

Step-by-step explanation:

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

             = [(4x² + 3x)(x²- 8)](6x + 15)

             = [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

             = (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

             = (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

             = 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

             = 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

             = 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

Answer:

V = 24x⁵+78x⁴-147x³-624x²-360x

Step-by-step explanation:

Answer:

2√3

Step-by-step explanation:

Given the following information,

Long = 3 = Adjacent

Angle of elevation =30 degrees

Required

Hypotenuse

Using SOH CAH TOA identity

Cos theta = adj/hyp

Cos 30 = 3/hyp

hyp = 3/cos30

hyp = 3/√3/2

hyp = 3* 2/√3

hyp = 6/√3

hyp = 6/√3 * √3/√3

hyp = 6√3/3

hyp = 2√3

Hence the hypotenuse is 2√3

Answer:

2v3

Step-by-step explanation:

Answer:

.52¢

Step-by-step explanation:

One apple cost 52 cents. The expression below represents the cost of an apple.

5a =2.60

5a/5= 2.60/5

a =0.52

Answer:

Each apple costs $0.52.

Step-by-step explanation:

Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.

To find this: total cost/total apples

2.60/5 = 0.52

Each apple costs $0.52.

Let's check our answer.

If one apples costs $0.52, 5 apples should cost 0.52 • 5

0.52 • 5 = 2.60

This is how much Christ spent; therefore your answer is correct.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

88.5

Step-by-step explanation:

formula = ab ×(sin∅)/2

= 18×12 × (sin 55)/2

= 88.5

Answer:

oo nvjfdifhdkvcbjkggnnvv

Step-by-step explanation:

please mark me answer banilist

Answer:

a. 7 units

b. 5 units

c. 24 units

d. 35 units

a) The length of this rectangle is, 5 units.

b) The width of this rectangle is, √74 units

c) The perimeter of the rectangle is,

⇒ 2 (5 + √74)

d) The area of the rectangle is,

⇒ 5√74 units²

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The coordinates of a rectangle are,

⇒ (3, 0), (3, -5), (-4, 0) and (-4, -5)

Now, The length of this rectangle is,

⇒ Distance between (3, 0) and (3, - 5).

⇒ √ (- 5 - 0)² + (3 - 3)²

⇒ √25

⇒ 5 units

And, The width of this rectangle is,

⇒ Distance between (3, - 5) and (- 4, 0).

⇒ √ (- 4 - 3)² + (0 + 5)²

⇒ √49 + 25

⇒ √74 units

And, The perimeter of the rectangle is,

⇒ 2 (Lenght + Width)

⇒ 2 (5 + √74)

And, the area of the rectangle is,

⇒ Length × Width

⇒ 5 ×√74

⇒ 5√74 units²

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Answer:

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

Step-by-step explanation:

Answer:

150 degrees

Step-by-step explanation:

Hi,

Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.

30 + u = 180

Subtract 30 from 180 to find the value of u.

u is 150 degrees.

I hope this helps :)

Answer: 150 degrees

Step-by-step explanation:

A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc

Answer:

The answer is C.[1,0]

Step-by-step explanation:

HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.

The midpoint is the middle of a line projecting from one end to another.

Given the parallelogram HIJK with the coordinate points

H(-2,2), I(4,3), J (4, -2), and K (-2, -3)

The diagonals are HJ and IK.

Determine the midpoint

M(x, y) = [(-2+4)/2, (2-2)/2]

M(x, y) = (2/2, 0/2)
M(x, y) = (1, 0)

This shows that HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.

Learn more on midpoint of coordinates here: https://brainly.com/question/18315903

Answer:

the first option

Step-by-step explanation:

for a number to be rational, it should be able to be expressed as a fraction.  Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction

Answer:

Step-by-step explanation:

it’s the first one

Answer:graph d

Step-by-step explanation:

I just took the test on a p# x and yea I'm dum and got it wrong

Answer:It’s graph B

Step-by-step explanation:

Answer:

Step-by-step explanation:

To factorise

3x² - 6x

3x² - 6x

[Taking common term out]

= (3x × x) - (3x × 2)

= 3x ( x - 2)

Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)

Answer:

12

Step-by-step explanation:

Add each number given = 132

132 / 6 (amount of given numbers)

=12

Answer:

44

Step-by-step explanation:

The absolute value of a number tells us how far the number is from 0 on a number line. Because 44 is 44 places away from 0, the absolute value of 44 is 44.

The absolute value of -44 would also be 44 because it's also 44 places away from 0.

I hope this helps!

Answer:

a) [tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

b) [tex]y = 2x - \frac{1}{2}[/tex]

These two paths are not perpendicular to each other.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope of the line and b is the y-intercept.

If two lines are perpendicular, the multiplication of their slopes is -1.

(a) the engineering lab and the computer center

Coordinates (3.5,-1.5) and (0.5,0.5)

The slope is given by the change in y divided by the change in x.

Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2

Change in x: 0.5 - 3.5 = -3

Slope: [tex]m = \frac{2}{-3} = -\frac{2}{3}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

Now, to find the y-intercept, we replace one of these points into the equation.

(0.5,0.5) means that when [tex]x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

[tex]0.5 = -\frac{2}{3}(0.5) + b[/tex]

[tex]b = \frac{1}{2} + \frac{1}[3}[/tex]

[tex]b = \frac{5}{6}[/tex]

So

[tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

(b) the engineering lab with the library.

(0.5,0.5) and (-1,-2.5).

First, we find the slope:

Change in y:-2.5 - 0.5 = -3

Change in x: -1 - 0.5 = -1.5

The slope is: [tex]m = \frac{-3}{-1.5} = 2[/tex]

So [tex]y = 2x + b[/tex]

Now we find b

[tex]y = 2x + b[/tex]

[tex]0.5 = 2(0.5) + b[/tex]

[tex]b = -0.5 = -\frac{1}{2}[/tex]

So

[tex]y = 2x - \frac{1}{2}[/tex]

The multiplication of their slopes, is

[tex]2*\frac{-2}{3} = -\frac{4}{3}[/tex]

Since it is different of one, these paths are not perpendicular to each other.

Answer: The answer for both is infinity. You might want to recheck the question as it is not very common but if the question is correct this is the answer to it:

Step-by-step explanation:

1. Using the formula m = y2 - y1 / x2 - x1

m = 1 - 1 / -3 -(-3)

m = 0/0

m = infinity

2. Using the formula m = y2 - y1 / x2 - x1

m = -14-(-14) / 7-7

m = 0/0

m = infinity.

Answer:

x> -20

x= -19,-18,-17,-16,.....

Step-by-step explanation:

-2x + 5 < -x + 25

-2x + x < 25- 5

-x < 20

x> -20

x= -19,-18,-17,-16,......

Answer:

[tex]E \approx \exp(0.31)[/tex]

Step-by-step explanation:

From the question we are told that

Occurrence of volcanoes[tex]x=37 times[/tex]

The number year

[tex]N= 1832-1950\\N=118 years[/tex]

Generally the number  of volcanoes occurring is mathematically modeled as

[tex]X \approx Poisson(0.31)[/tex]

Generally the waiting time of the earthquakes will also be modeled with exponential distribution with the same parameters

[tex]E \approx \exp(0.31)[/tex]

Answer:

19 is the answer .......explanation is in image.

Answer:

(a)

x cubed is

=x^3=x3

5 times the cube of x is

=5x^3=5x3

4 times x is

=4x=4x

the quotient of 4 times x and 3 is

=\frac{4x}{3}=34x

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

=5x^3-\frac{4x}{3}=5x3−34x ..........Answer

(b)

5 times cube of x is

=5x^3=5x3

5 times cube of x divided by 4 times x is

=\frac{5x^3}{4x}=4x5x3 ..........Answer

(c)

difference of 5 times x cube and 4 is

=5x^3 -4=5x3−4

so,

the quotient of the difference of 5 times x cube and 4 and x is

=\frac{5x^3-4}{x}=x5x3−4 ...........Answer

(d)

difference of 5 times x and 4 is

=5x-4=5x−4

so,

the cube of the difference of 5 times x and 4 is is

=(5x-4)^3=(5x−4)3 ............Answer

Answer:

[tex]\frac{1}{25} =0.04[/tex] (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

An individual can win a prize by drawing the highest numbered card out of five cards.

Given that an individual makes 7 draws

p = 1/5  =  0.2

q = 1-P =0 .5

5 times corresponds to B( 7 , 0.2)

P(x = 2) = 7 C₂ (0.7)² (0.8)⁵

= 21 * 0.04 * 0.3277

= 0.2753

Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

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Answer:

I think it's 40 . I'm not sure

Answer:

0.6 liter per kilo

Step-by-step explanation:

Answer:

$63.20

Step-by-step explanation:

first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.

79•0.2= 15.8

so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price

$79-$15.8= $63.20

hope this helps chu <3

Answer:

pentagon

Step-by-step explanation:

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

Answer:

Each Pizza will cost $12.55

Step-by-step explanation:

we first going to subtract the following

$47.60 - 5 - 4.95 = $37.65

$37.65 / 3 (the number of pizza ) = $12.55

$12.55

Step-by-step explanation:

Amount spent on 3 pizzas= Total —( amount spent on salad + tip)

=460—(4.95+5)

= $37.65

cost of each pizza= 37.65÷3

= $12.55

Answer:

2m3np−6p−4p

Step-by-step explanation:

That is the answer