find the unit price if a dozen apples cost $4.80​

Answer:

x=0

Step-by-step explanation:

21x-3x=yx(7-1)

18x=6xy

18x=6xy=0

6x(3-y)=0

x=0

Answer:

\(\huge\boxed{\sf 3}\)

Step-by-step explanation:

y = 3x + 5

Comparing it with standard form of slope-intercept equation i.e. y = mx + b.

Where,

m = slope = 3

b = y-intercept = 5

A line that is parallel to this line will have the same slope as this line.

So, it will also have a slope of 3.

\(\rule[225]{225}{2}\)

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

Answer:

(1067)(6740)

=7191580

Step-by-step explanation:

I hope this help you :)

If you need another thing just let me know.

(a) The probability that it loses money on a single policy is 0.025

(b) The probability that the company makes a profit on these policies is 3.75%

Here we have given that that an insurance company found that 2.5% of male drivers between the ages of 18 and 25 are involved in serious accidents annually.

Now for a single policy as we are given the probability of accident here is calculated as,

=> 25/1000 = 0.025

Where as suppose that the company writes 1,000 such policies to a collection of drivers, then the probability that the company makes a profit on these policies is calculated as,

=> 2000 - [65,000 x 25/1000]/100

=> [2000 - 1625]/100

=> 375/100

=> 3.75%

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The equation represents the line that passes through (- 6, 7) and (- 3, 6) is  y = -1/3x +5

The slope-intercept form is just a means of formulating a line's equation so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are clearly visible. This form is frequently referred to as the y = mx + b form. This line form is one of the most prevalent in algebra classes.

A line's slope-intercept form is y = mx + b, where m is its slope and b is its y-intercept.

The equation of the line which is passing through two points is:

y₂-y₁ / x₂-x₁

(6-7)/(-3+6)=-1/3

A line's slope-intercept form is y =mx +b, where m is the slope and b is the y intercept.

y = -1/3 x +b. We must now calculate b, the y intercept. To find b, plug one of the given points into the previous equation and solve for b.

6 = -1/3(-3) + b

b = 5

y = -1/3x +5

Therefore, the equation represents the line that passes through (- 6, 7) and (- 3, 6) is  y = -1/3x +5

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Answer:

10.9 feet

Step-by-step explanation:

its Pythagoras but reversed. So instead of a squared plus b squared equals c squared its (c squared)-(a squared) equals (b squared)

so (12x12) - (5x5) = 119

square root of 119 is 10.9

sorry im replying on phone i cant do exponents and stuff

The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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The sum of the first fifteen terms of the given sequence is 220.

The given sequence can be expressed as: \($2, 8, 14, \dots$\), in which each term is six more than the preceding term. This is an arithmetic sequence, where the common difference between terms is 6. The formula to calculate the sum of the first n terms of an arithmetic sequence is given by \($S_n = \frac{n}{2}(a_1 + a_n)$\), where \($a_1$\) is the first term and \($a_n$\) is the nth term.

In the given sequence, the first term \($a_1$\) is 2 and the 15th term \($a_n$\) is 42. So, plugging these values to the formula gives us, \($S_{15} = \frac{15}{2}(2+42) = \frac{15\times 44}{2} = 220$\).

Therefore, the sum of the first fifteen terms of the given sequence is 220.

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The expression 4 10/5 is the same as 4 + 10/5. It has a whole part (4) and a fraction part (10/5).

To find out if this expression is equivalent to 6, we need to simplify the fraction part:

We can simplify the fraction part in a whole number (2), so we have that:

So the answer is Yes, 4 10/5 is equivalent to 6.

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Answer:

there you see nothing

Step-by-step explanation:

Answer:

there you say nothing to do it for me

Answer:

  at least 19

Step-by-step explanation:

Let t represent the number of trees Jacob needs to trim. He wants ...

  50(45) +120t ≥ 4500

  120t ≥ 2250 . . . . . . . . . subtract 2250

  t ≥ 18.75

Jacob must trim at least 19 trees to earn at least $4500.

By using Disk Method, the integral that gives the volume of the solid formed by revolving the region about the y-axis of y = x^(11/12) y=1, x=0 is V = π∫(0 to 1) y^(24/11) dy = 11π/35. The option is D) is correct.

To use the Disk Method to find the volume of the solid formed by revolving the region about the y-axis, we can imagine slicing the solid into thin disks perpendicular to the y-axis, with each disk having thickness dy. The total volume of the solid can be found by summing up the volumes of all such disks from y=0 to y=1.

The equation of the curve is y = x^(11/12), so we can solve for x as x = y^(12/11). The region is bounded by y=0, y=1 and x=0.

Now, consider a thin disk located at a distance y from the y-axis. The radius of the disk is given by the distance between the y-axis and the curve at y, which is simply x = y^(12/11). Thus, the radius of the disk is r(y) = y^(12/11). The thickness of the disk is dy.

The volume of the disk is given by the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the disk and h is its thickness. Substituting in the values we have for r(y) and dy, we get:

dV = π(y^(12/11))^2 dy

Integrating this expression over the range of y from y=0 to y=1 gives us the total volume of the solid:

V = ∫(0 to 1) π(y^(12/11))^2 dy

Simplifying the integrand, we have:

V = π∫(0 to 1) y^(24/11) dy

Using the power rule of integration, we have:

V = π[(11/35) y^(35/11)](0 to 1)

Evaluating this expression at the limits of integration, we get:

V = π[(11/35) - 0] = π(11/35) = 11π/35

Therefore, the volume of the solid formed by revolving the region about the y-axis is 11π/35 cubic units. The correct answer is D).

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_____The given question is incomplete, the complete question is given below:

Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. y = x^(11/12) y=1, x=0

A)  V = π∫(0 to 1) y^(11/12) dy =  11π/70

B)  V = π∫(0 to 1) y^(24/11) dy =  11π/70

C)  V = π∫(0 to 1) y^(12/11) dy =  11π/35

D) V = π∫(0 to 1) y^(24/11) dy = 11π/35

The probability of landing on 2 once is 1/5.

The spinner to find the theoretical probability of the event.

We have to determine

The theoretical probability of spinning a multiple of 2.

The probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

In probability, when finding the probability of A and B (assuming the probability is the same on each spin) is (1/5) * (1/5).

The probability of A and B = 1/25.

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Answer:

B

Step-by-step explanation:

Answer:

A. 2/5

B. 5/8

Step-by-step explanation:

0.4 = 4/10 = 2/5

625/1,000 = 125/200 =25/40 = 5/8

Answer:

(1.333, 0) and (3, 0)

Step-by-step explanation:

Use desmos to input your equations then click on the solutions (zeroes)

Answer:

x=-5

Step-by-step explanation:

-6(x + 7)=-12

-6x+-42=-12

-6x=30

x=-5

Answer:

X = -5

Step-by-step explanation:

-6(x+7)=-12

Use the distributive property

-6x-42=-12

Add 42 to -42, and 42 to -12

Adding 42 to -42 cancels -42 out

-6x=30

Divide -6 by -6, and 30 by -6

x=-5

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

A quadrilateral is a shape with four straight sides. The trapezoid is a quadrilateral with only one pair of parallel sides.

An isosceles trapezoid is a trapezoid with two of the sides having the same length.

It can be proven that a quadrilateral is either a rectangle or an isosceles trapezoid by the following statement:

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

If a quadrilateral has perpendicular diagonals and one pair of opposite sides that are parallel, then it can be either a rectangle or an isosceles trapezoid.

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Answer:

5.083

Step-by-step explanation:

\(V=\frac{1}{3}Bh=(1/3)(1/2)(1.7)(3.9)(4.6)=5.083\)

Answer:

960 I believe.

Step-by-step explanation:

The slope of the tangent line to the given polar curve at the specified point is √3.

What is polar equation?

Cartesian coordinates, which may be found by moving across an x-axis and up and down the y-axis in a rectangular pattern, are complemented by polar coordinates. Polar coordinates are written as (r,) as opposed to the (x, y) used for Cartesian coordinates.

A point's location in polar coordinates is determined by its r from the origin and the angle θ (measured in radians) between the line leading to the point and the x-axis.

As given,

For the polar equation r = 4 sin θ, we have

x = r cosθ

x = 4 sinθ cosθ

x = 2sin2θ

y = r sinθ

y = 4 sin²θ

Differentiate obtained values of x and y with respect to θ respectively,

dx/dθ = d(2sin2θ)/dθ

dx/dθ = 2cos2θ (2)

dx/dθ = 4cos2θ

Similarly,

dy/dθ = d(4sin²θ)/dθ

dy/dθ = 4sin2θ

Evaluate the slope (dy/dx) as follows:

dy/dx = (dy/dθ) / (dx/dθ )

dy/dx = (4 sin2θ) / (4 cos2θ)

dy/dx = (sin2θ) / (cos2θ)

dy/dx = (tan2θ)

At θ = π/6

slope = dy/dx

Substitute values,

slope = tan2( π/6)

slope = tan( π/3)

slope = √3.

Hence, the slope of the tangent line to the given polar curve at the specified point is √3.

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Answer:

add 21 to both sides to get everything on one side

x^2 - 10x + 21 = 0

do factorization, guess and check

(x - 7) (x -3) = 0

x =7, and x =3

Answer:

x= 7,3

Step-by-step explanation:

Move all terms to the left side and set equal to 0. Then set each factor = to 0

Hope this helps please make me brainliest!

Answer:

Step-by-step explanation:

(48x^2)(y) + (16x)(y^2).

This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.

Division rules are explained below.

I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.

TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.

Answer:

300 g

Step-by-step explanation:

weight of a can of biscuits= (23- 0.5)/15= 1.5 kg

weight of 8 cans= 1.5 * 8= 12 kg

mass of the empty box Q= 12.3- 12= 0.3 kg= 300 g

Answer:

300 g or 0.3 kg

Step-by-step explanation:

23 kg - 500g = 22.5 kg

each can of biscuits weighs 22.5 ÷ 15 = 1.5 kg

if the box Q weighs 12.3kg when there's 8 box of biscuits then

8 × 1.5 = 12 kg is the weight of biscuits and the remaining 300 g is box Q's weight