What is 1/10 of 1 3.027

Answer:

3 X 1/2

Step-by-step explanation:

I started by eliminating C and B because of adding and subtraction in the problem.

Answer:

3 x 1/2

Step-by-step explanation:

there are 3 groups of 1/2

Answer:

Nothing, if you're asking what else you can multiply to get 87

Step-by-step explanation:

3 and 29 is the only factor of 87

Answer:

4 laps

Step-by-step explanation:

A jogging trail has sides that measure

168 yards 2 feet,

175 yards, and

96 yards 1 foot.

total = 168+175+96 yards and 3 feet= 439 yd 3ft

1 yard = 3ft

so total 440yd

How many laps around the trail is equal to 1 mile (1,760 yards)?

1760/440 = 4laps

Answer:

D

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

The probability that the first customer will randomly be given a brown collar is given as follows:

0.25 = 25%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The total number of collars is given as follows:

5 + 8 + 2 + 5 = 20 collars.

5 of these collars are brown, hence the probability that the first customer will randomly be given a brown collar is given as follows:

p = 5/20 = 1/4 = 0.25 = 25%.

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Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

Answer:

These are all quadratics, where the x/y/a/b coefficient has been cancelled out. So it's like factorising a quadratic. What i mean by the x/y/a/b coefficient being cancelled out is for example y^2 - 1, becomes (y - 1)(y + 1). This is equal to y^2 - y + y - 1. You can see that - y + y = 0, to therefore it's not visible in the final equation, but it's there.

c) y^2 - 1 = (y - 1)(y + 1)

d) x^2 - 64 = (x - 8)(x + 8)

g) a^2 - 81 = (a - 9)(a + 9)

h) x^2 - y^2 = (x - y)(x + y)

k) 25 - x^2 = (5 - x)(5 + x)

l) 1 - b^2 = (1 - b)(1 + b)

o) x^2 - 400 = (x - 20)(x + 20)

p) 900 - y^2 = (30 - y)(30 + y)

I hope this makes sense :))

Answer:

15 smukeroos

Step-by-step explanation:

The cost of an entrance ticket on the trip to Spring Shot trampoline park is equal to $ \(16\frac{1}{2}\).

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

It is given that the total cost of trip for Lorenzo and his friends is $68.

Let's assume the cost of the entrance ticket be x.

The cost of entrance ticket for all of them = 4x

The fee added to entrance ticket is $2.

So , the algebraic expression can be written as :

2 + 4x = 68

reordering the like terms :

4x = 68 - 2

4x = 66

Dividing by 2 on both sides :

2x = 33

or

x = \(\frac{33}{2}\)

or

x = \(16\frac{1}{2}\)

Therefore , the cost of an entrance ticket on the trip to Spring Shot trampoline park is equal to $ \(16\frac{1}{2}\).

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Answer:

4.2

Explanation:

Whenever we are dividing by 10, we just shift the decimal point by one digit to the right.

In the number 42 the place of the deimcal point is obvious when we write 42.0. If we now divide 42 by 10 then we just shiftthe decimal point by one digit to the left. Doing this gives

42.0 / 10 = 4.20 or 4.2

Hence,

42 / 10 = 4.2

To get to a fractional form, we first do the normal division.

The remainder is 2.

The divisior is 10.

The quoteint is 4.

Therefore,

42 / 10 = quotient + remainder / divisor

therefore,

42 / 10 = 4 + 2 / 10

since 2 / 10 = 1 / 5

we have

42 / 10 = 4 + 1/5

The solution of the equation for t is t = i/pr

The equation is given as

i = prt

Divide both sides of the equation by p

So, we have the following equation

i/p = prt/p

Divide both sides of the equation by r

So, we have the following equation

i/pr = prt/pr

Evaluate the quotients

i/pr = t

Rewrite as

t = i/pr

By the above computation, we changed the subject of the formula in i = prt from i to t.

This implies that solving for t is a concept of subject of formula

Hence, the solution is t = i/pr

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Answer:

y= 8

Step-by-step explanation:

y= k/x

-8= k/4

k= -8×4= -32

y= k/x

y= -32/-4

y= 8

hope it helps!

Answer:

the answer is 8 if y= -8 when x is 4 amd

The ratio of their perimeters = 11/6

The ratio of their areas = 121/36

Similar figures are defined as two or more figures that have different sizes but the same shape. By implication, they have the same interior angle measures but different corresponding side lengths that are proportional to each other.

Thus, the ratios of their side lengths are all the same or congruent.

To find the perimeter of two similar figures, A and B, the following ratio is used:

Side length of figure A/Side length of figure B = Perimeter of figure A/Perimeter of figure B

To find the perimeter of two similar figures, A and B, the following ratio is used:

(Side length of figure A)²/(Side length of figure B)² = Area of figure A/Area of figure B.

Given:

Side length of the red figure = 11

Side length of the blue figure = 6

Therefore:

11/6 = Perimeter of red figure/Perimeter of blue figure

Perimeter of red figure/Perimeter of blue figure = 11/6

(11)²/(6)² = Area of red figure/Area of blue figure.

Area of red figure/Area of blue figure = 121/36

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Answer:

20x = y

Step-by-step explanation:

the sales of laptops makes 5% of his sales, so you can estimate his total sales of a month if you know his sales of laptops of the same month. This is done by multiplying the amount of sales of laptops that month, x, by 20. You do this because 5% x 20 = 100%.

We know that z varies directly as √√x and inversely as y, which can be written as:

z = k(√√x)/y

where k is the constant of proportionality.

To find the value of k, we can use the values given when x = 25 and y = 7:

179 = k(√√25)/7

179 = k(5/7)

k = (179*7)/5

k = 250.6

Now we can use this value of k to find z when x = 64 and y = 4:

z = 250.6(√√64)/4

z = 250.6(2)/4

z = 125.3

Therefore, z ≈ 125.3 when x = 64 and y = 4.

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

Step-by-step explanation:

There can be many explanations to this, but I do need more information. It could be 12x-2.5, 48x-10. See what I mean?

Answer: 203

Step-by-step explanation:

4n by 6h and 24x

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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Answer:

2

Step-by-step explanation:

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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The scaled dimension of a kitchen with the given dimensions is 1.26 cm and 0.96 cm.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Given that,

Actual dimensions of the kitchen = 6.3 m by 4.8 m

Kitchen plan is drawn to a scale of 1 : 500.

This means that, the scale is drawn as 1 unit if the actual unit is 500.

Scaled dimension if actual dimension is 500 = 1

Scaled dimension if actual dimension is 6.3 m = 6.3 / 500

                                                                             = 0.0126 m

                                                                             = 1.26 cm

Scaled dimension if actual dimension is 4.8 m = 4.8 / 500

                                                                             = 0.0096 m

                                                                             = 0.96 cm

Hence the scaled dimensions are 1.26 cm and 0.96 cm.

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Answer: there should be 3 hope this helps

Step-by-step explanation: