Percy works two part-time jobs to help pay for college
At which job does Percy earn the greater hourly wage?
classes. On Monday, he works 3 hours at the library and
How much does Percy earn each hour at this job?
2 hours at the coffee cart and earns $36.50. On
Tuesday, he works 2 hours at the library and 5 hours at
a Percy earns a greater hourly wage of $7.00 at the
the coffee cart and earns $50. His hourly wage at the
library.
library, x, and hourly wage at the coffee cart, y, can be
Percy earns a greater hourly wage of $7.00 at the
determined using the system of equations below.
coffee cart.
3x + 2y = 36.50
Percy earns a greater hourly wage of $7.50 at the
library.
Percy earns a greater hourly wage of $7.50 at the
coffee cart.
2x : 5y = 50.00

Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3y−6)=−3(8−4y)

(4)(3y)+(4)(−6)=(−3)(8)+(−3)(−4y)(Distribute)

12y+−24=−24+12y

12y−24=12y−24

Step 2: Subtract 12y from both sides.

12y−24−12y=12y−24−12y

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

Answer:

All real numbers

Step-by-step explanation:

So we have the equation:

\(4(3y-6)=-3(8-4y)\)

First, distribute the left side:

\(12y-24=-3(8-4y)\)

Now, distribute the right:

\(12y-24=-24+12y\)

Subtract 12y from both sides. Both sides cancel:

\(-24=-24\)

This statement is true.

In other words, our solution is all real numbers.

And we're done!

Answer: (x , y) = (3, -2)

Step-by-step explanation:

Answer:

y = -3x

Step-by-step explanation:

We can see that the given line:

\(y - 1 = -3(x - 2)\)

is in point-slope form:

\(y-b = m(x-a)\),

where \((a,b)\) is a point on the line.

Using this knowledge, we can identify the slope as \(m = -3\).

Parallel lines have the same slope. Therefore, to answer this question, we can create any line in slope-intercept form with a slope of -3.

One answer could be:

y = -3x

Answer:

112 lawn mowers

Step-by-step explanation:

we multiply 16 by 7 since 16 is each hour

16x7

112

Hopes this helps please mark brainliest

The required number of lawnmowers that can be produced in 7 hours is 112.

Given that,
A factory produces 16 lawnmowers per hour, how many lawnmowers can it produce in seven hours is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The factory produces 16 lawnmowers per hour
In 7 hour lawnmowers produced = 16 × 7 = 112

Thus, the required number of lawnmowers that can be produced in 7 hours is 112.

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Answer:

(1,0)

I hope this is good enough:

The candy distributor needs to use 30 kilograms of 10% fat-content chocolate and 70 kilograms of 50% fat-content chocolate to create 100 kilograms of a 14% fat-content chocolate.

To solve this problem, we can use the method of mixture problems, which involves setting up a system of equations. Let x be the number of kilograms of the 10% fat-content chocolate and y be the number of kilograms of the 50% fat-content chocolate.

We have two equations based on the fat content and the total weight of the mixture:

0.1x + 0.5y = 0.14(100) (equation for fat content)

x + y = 100 (equation for total weight)

We can solve this system of equations using substitution or elimination. Using substitution, we can solve for x in terms of y from the second equation and substitute it into the first equation:

x = 100 - y

0.1(100 - y) + 0.5y = 0.14(100)

10 - 0.1y + 0.5y = 14

0.4y = 4

y = 10

Then we can substitute y = 10 back into the equation for x and get:

x = 100 - y = 100 - 10 = 90

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Answer:

there are 63 dogs

and 147 sheeps

Answer:

so 3:7 thats means 30 percent of animals are dogs so

0.3 times 210= 63

so there is 63 dogs in the field

Hope This Helps!!!

Answer:

False

Rise is the vertical change not the horizontal

Step-by-step explanation:

Step-by-step explanation:

The area of circle with radius 4cm is,

area of circle = π r *r = 3.14 * 4 * 4

= approx 50.27

The area of circle with radius 2cm is,

area of circle = π * r * r = 3.14 * 2 * 2

= approx 12.57

The circles are concentric means they have a common Centre, so,

Area between the two circles = area of bigger circle - area of smaller circle

= 50.27 - 12.57

= 37. 7 sq. cm

Answer:

the answer is B) 1

Step-by-step explanation:

hoped i helped

Answer:

is a because 5×0=0 so its a 5 to the 0 power

20 ft/sec must she let out the string when the kite is 500 ft away from her.

What is rate?

A rate is a unique ratio where the two words are expressed in several units.

For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.

Let x = distance of girl from the point on the ground directly below the     kite at time t

y = length of string at time t

At time t, we have a right triangle with horizontal leg of length x, vertical leg of length 300, and hypotenuse of length y.

Given:  dx/dt = 25

Find:  dy/dt when y = 500

By the Pythagorean Theorem, \(x^2 +300^2 = y^2\)

Differentiating both sides, with respect to t,

\((2x)\frac{dx}{dt} = 2y\frac{dy}{dt}\)           ...(1)

Since, \(x^2 +300^2 = y^2\),  y = 500,

So, x = 400

Plug these values in equation (1).

\(2(400)(25) = 2(500)\frac{dy}{dt}\)

After solving,

\(\frac{dy}{dt} = 20 ft/sec\)

Therefore, 20 ft/sec must she let out the string when the kite is 500 ft away from her.

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Answer

B

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.

Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.

If there are 459 bags, and each box can hold 12, how many boxes will be full?  Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.

38 boxes will be full, with 3 remainder bags.

Answer:

x=12

Step-by-step explanation:

10x-18+6x+6=180

16x-12=180

16x=180+12

16x=192

x=192/16

x=12

plz mark as brainliest

Answer:

17

Step-by-step explanation:

12½ - (-4½)

12½ + 4½

17

hope it helps!

we have to convert the mixed fractions to improper fraction and do the arithmetic as follows:

\(\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}=\frac{34}{2} =17\)

\(12\frac{1}{2} -(-4\frac{1}{2} )=?\)

The fractions are represented in mix fractions. Therefore, let's convert it it to improper fractions before doing the arithmetic.

\(12\frac{1}{2} = \frac{25}{2}\)

\(-4\frac{1}{2} = -\frac{9}{2}\)

Therefore,

\(\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}\)

Note - × -  = +

Therefore,

\(\frac{25}{2} +\frac{9}{2} =\frac{25+9}{2}\)

\(\frac{25+9}{2} = \frac{34}{2}=17\)

Therefore, the arithmetic is 17

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8/9

To solve this problem, we first multiply 2 by 4 to get 8. Then, we divide 8 by 9 to get the final answer of 8/9. We cannot simplify 8/9 any further because the numerator and denominator do not have any common factors other than 1. Therefore, 8/9 is already in its lowest terms.

First, multiply the whole number 2 by the numerator of the fraction (4).
2 × 4 = 8. Next, place the result (8) over the denominator (9).
So, the answer is 8/9. Since there are no common factors between 8 and 9, the fraction is already in its lowest terms.

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The volume of a right circular cone that has a height of 3.5 ft and a radius of 18.9 ft is given as follows:

1308.6 ft³.

The volume of a cone of radius r and height h is given by the equation presented as follows, which the square of the radius is multiplied by π and the height, and then divided by 3.

V = πr²h/3.

The parameters for the cone in this problem are given as follows:

Hence the volume of the cone is given as follows:

V = 3.14 x 18.9² x 3.5/3

V = 1308.6 ft³.

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Answer:

40

Step-by-step explanation:

The Beta distribution is a continuous probability distribution with support on the interval [0,1], and is often used to model random variables that have limited range, such as probabilities or proportions.

The Beta [a, b] density has the form f(x) = {[(a+b)/([(a) r()) } Xa-1 (1 - X)B-1 +, where a and b are constants and 0 <= x <= 1. This density function describes the probability of observing a value x from a Beta [a, b] distribution.

The parameters a and b are often referred to as shape parameters, and they control the shape of the distribution. Specifically, the larger the values of a and b, the more peaked the distribution will be, while smaller values of a and b will lead to flatter distributions.

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It is not necessarily true that either [a] = [0] or [b] = [0] when [a],[b] ∈ z6 and [a]·[b] = [0].

This is because in z6, there are other pairs of elements that multiply to [0] besides [0] and any other element. For example, [2]·[3] = [6] = [0] in z6, but neither [2] nor [3] are equal to [0].

However, if [a],[b] ∈ z7 and [a]·[b] = [0], then it is necessarily true that either [a] = [0] or [b] = [0]. This is because z7 is a field, meaning that it has no zero divisors (elements that multiply to [0] besides [0] itself). Therefore, the only way for [a]·[b] = [0] in z7 is if either [a] or [b] are equal to [0].

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To evaluate the expression, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where:

- n is the sample size (10 individuals in this case)
- k is the number of individuals who have consumed alcohol (5 in this case)
- p is the probability of an individual consuming alcohol, which is 0.6 according to the problem

If you provide the value of p, I can help you calculate the probability.

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Answer: 6 fertilizer

Step-by-step explanation:

Take 120 divided by 4 = 30 soil per fertilizer

We know that 30 times 6 = 180

So we take 1 time 6 =  6 Fertilizer

Answer:

Step-by-step explanation:

you can solve with a simple proportion

4 : 120 = x : 180

x = 4 x 180 : 120

x = 6

Answer:

\(x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4\)

Step-by-step explanation:

\(3(x+4)^2 =8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left(x+4\right)^2}{3}=\frac{8}{3}\\\\Simplify\\\left(x+4\right)^2=\frac{8}{3}\\\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}\\g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+4=\sqrt{\frac{8}{3}}:\\\quad x=\frac{2\sqrt{6}}{3}-4\\\\\\\mathrm{Solve\:}\:x+4=-\sqrt{\frac{8}{3}}:\\\quad x=-\frac{2\sqrt{6}}{3}-4\\\)

\(x=\frac{2\sqrt{6}}{3}-4,\:x=-\frac{2\sqrt{6}}{3}-4\)

Answer:

Below

Step-by-step explanation:

G = 11  + 2w   <===== 11 passed + 2 more per week

P = 8 + 5w     <====== 8 passed and 5 more per week

  When are they equal ?

     Equate   G and P equations:

  11+ 2w = 8 + 5w

   3 = 3w

    w =1     after ONE week they will have the same  G = 13 = P

The correct answer choice:

The student would be able to afford the in-state cost for one year at a public 2-year college.

The correct option is D.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A student is planning to attend college in 5 years.

The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

The total savings,

= 1200 + (50 x 60)

= $4200

That is equivalent to the cost of one year at a public 2-year college.

Therefore, the saving amount is equivalent to the cost of one year at a public 2-year college.

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The table shows the cost per year of attending different types of colleges.

A student is planning to attend college in 5 years. The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

Based on this information about the student's plan, which statement about the possible choices for a college is true?

Answer choices

The student would be able to afford the cost for one year at a private 4-year college.

The student would be able to afford out-of-state cost for half a year at a 4-year public college.

The student would be able to afford in-state cost for half a year at a public 4-year college.

The student would be able to afford in-state cost for one year at a public 2-year college.

Answer:

Theyre out of order.

Step-by-step explanation:

Answer:

15th term = 116

Step-by-step explanation:

a= 4

Sum of an A.P = n/2 {2a + (n-1)d}

sum of first five term is equal to one-fourth of the sum of the next five term

5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d

5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}

40/2 + 20/2d = 1/4{ 40 + 45d)

20 + 10d= 40/4 + 45/4d

20 + 10d = 10 + 45/4d

20 - 10 = 45/4d - 10d

10 =45d - 40d /4

10 = 5/4d

Divide both sides by 5/4

10 ÷5/4 = d

10×4/5 = d

40/5 = d

8 = d

d= 8

Find the 15th term

15th term = a + (n-1)d

= 4 + (15-1)8

= 4 + (14)8

= 4 + 112

= 116

The 15th term is 116

Answer:

The answer would be Y= 5 ± √67 / 6

Step-by-step explanation:

To determine the current required in the windings of the solenoid, we can use the equation for the magnetic field inside a solenoid:

B = μ₀ * n * I

where B is the magnetic field, μ₀ is the permeability of free space (approximately 4π × 10^(-7) T·m/A), n is the number of turns per unit length (turns/m), and I is the current.

In this case, the given information states that the solenoid has 1,130 turns uniformly distributed over a length of 0.355 m and produces a magnetic field of magnitude 1.00 × 10^(-4) T at its center.

Using the equation above, we can rearrange it to solve for the current:

I = B / (μ₀ * n)

Substituting the given values, we have:

I = (1.00 × 10^(-4) T) / (4π × 10^(-7) T·m/A * 1,130 turns/m)

Calculating this expression will give you the current required in the windings of the solenoid.

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