Uncle Drew scored 28 points in 5 minutes during a game of basketball.
How many points did he average per minute during that 5-minutes?
points per minute

Answer:

The total number of social worker doing part time work is 9  .

Step-by-step explanation:

Given as :

The percentage of social worker on which Cole surveyed = 20 %

I.e 20 % of the social worker

Or the number of social worker = 45

Let The number of social worker working part time = x

So, x = 20 % of the total social worker

I.e x = 0.2 × 45

∴ x = 9

So , out of total 45 social worker , the number of social worker working part time = 9

Hence The total number of social worker doing part time work is 9  . Answer

Cole surveyed 225 social workers in total.

Understanding Employment Percentages

To find the total number of social workers that Cole surveyed, we can use a simple proportion based on the information given:

→ 20% of the total number of surveyed social workers = 45.

→ Let N be the total number of social workers surveyed.

Write the equation representing the percentage:

→ 0.20 * N = 45

→ Solve for N by dividing both sides of the equation by 0.20:

N = 45 / 0.20

  = 225

So, Cole surveyed a total of 225 social workers.

Answer:

ok so think about it.

shes going to her grandmas- and she travels 60 miles for every hpur she drives.

time(hours):

1 shes driving 60 miles PER HOUR- so in one hour she traveled 60. (60 is answer)

2 shes driving 60 mies per hour- so two hours would be 120. (120 is answer)

3 shes driving 60 mies per hour- so 3 hours would be 180 (this means 180 is answer)

4 shes driving 60 mies per hour- so 4 hours would be 240 (and so 240 is answer)

5 shes driving 60 mies per hour- so 5 hours would be 300 (300=the answer)

Step-by-step explanation:

so you kinda just wannamu.Mutiply the distance per hour by the hours... so like- 60 mph*1=60 60 mph*2=120 etc.

the answers are

1:60

2:120

3:180

4:240

4:300

Answer:

Givens:

We have to ding each distance at those given times to complete the table. We can solve it by just replacing values into the constant movement definition, which is [tex]d=st[/tex]

For [tex]t=1[/tex]:

[tex]d=60\frac{mi}{hr} (1hr)[/tex]

[tex]d=60mi[/tex]

For [tex]t=2[/tex]:

[tex]d=60\frac{mi}{hr} (2hr)[/tex]

[tex]d=120mi[/tex]

For [tex]t=3[/tex]:

[tex]d=60\frac{mi}{hr} (3hr)[/tex]

[tex]d=180mi[/tex]

For [tex]t=4[/tex]:

[tex]d=60\frac{mi}{hr} (4hr)[/tex]

[tex]d=240mi[/tex]

For [tex]t=5[/tex]:

[tex]d=60\frac{mi}{hr} (5hr)[/tex]

[tex]d=300mi[/tex]

Therefore, the complete table would be:

t      d

1     60

2    120

3    180

4    240

5    300

We conclude that the table represent a function, because it's defined the relation between two variables, one independent (time), one dependent (distance). But, the most important characteristic is that for every t-values, there's only one d-value, and that is the definition of a function.

Symmetry is when an image or being is halved into two, and both sides are the exact same to each other.

Final answer:

Symmetry in mathematics refers to an object's balanced or invariant properties under transformations like reflection, rotation, or translation. It is significant in physics for understanding conservation laws and is observed in various aspects of nature and art, providing balance and stability.

Explanation:

Symmetry is a fundamental concept in mathematics, physics, and the natural world. It implies that an object or system possesses a form of invariance or balance under certain transformations, such as reflection, rotation, or translation. In mathematical terms, symmetry refers to a situation where a figure can be manipulated in various ways, such as being flipped over a mirror plane (reflective symmetry), rotated around a central point (rotational symmetry), or shifted along a direction without changing its appearance (translational symmetry).

An example of symmetry in nature is bilateral symmetry, where an object can be divided into two symmetrical parts across a unique plane. This type of symmetry is easily observed in some living organisms, like humans, who have a left and right side that are mirror images of each other. In the realm of physics, symmetry plays an impactful role, especially in the study of sub-atomic particles through the use of particle accelerators like the Large Hadron Collider at CERN. Emmy Noether's work highlighted the deep connection between symmetries and conservation laws, illustrating the significance of symmetry in understanding the foundational principles of our universe.

In art, symmetry is associated with balance and harmony. Symmetrical balance is visually stable, often featuring compositions that are identical, or nearly so, on either side of a central axis. Optical devices, such as mirrors and lenses, also exploit principles of symmetry, with their function heavily dependent on a specific optical axis to guide light appropriately.

Answer:

left denominator is 15 the right is 10 hope this helps and add me on ig thick_but_lit

Step-by-step explanation:

Answer:

[tex]x[/tex] ≥ [tex]\frac{7}{6}[/tex]

Step-by-step explanation:

The expression we have is:

[tex]1.5x+3.75[/tex] ≥ [tex]5.5[/tex]

To find the solution of x, we need to clear the inequality until we leave the x on one side.

For this, the first step is to move 3.77 to the left with a minus sign:

[tex]1.5x[/tex]  ≥ [tex]5.5-3.75[/tex]

solving the subtraction on the right side

[tex]1.5x[/tex]  ≥  [tex]1.75[/tex]

and now we move the 1.5 that multiplies to the x, to the right dividing:

[tex]x[/tex] ≥  [tex]1.75/1.5[/tex]

solving the division:  

[tex]x[/tex] ≥ [tex]1.666...[/tex]

since the value 1.666667

is not an exact number, is better to leave it as a fraction:

[tex]1.666...=\frac{7}{6}[/tex]

so the answer is:

[tex]x[/tex] ≥ [tex]\frac{7}{6}[/tex]

so any value equal or greater 7/6 is a solution of the inequality

the answer would be 750

Answer:

2.25 seconds

87 feet

[6, 87]

Step-by-step explanation:

The height of a projectile is:

h(t) = -16t² + vt + s

where v is the initial vertical velocity and s is the initial height.

Here, v = 72 and s = 6.

h(t) = -16t² + 72t + 6

This is a downwards parabola.  The maximum is at the vertex.

t = -b / (2a)

t = -72 / (2×-16)

t = 2.25

h(2.25) = 87

It takes 2.25 seconds to reach the maximum height of 87 feet.

The range is from the lowest height (6 feet) to the maximum height (87 feet).  In interval notation:

[6, 87]

Final answer:

This response explains the time to reach maximum height, calculates the maximum height, and determines the range function for the projectile motion of the T-shirt launched by a slingshot during halftime at a football game.

Explanation:

Maximum Height Calculation:

Time to Reach Maximum Height: 2.25 seconds

Maximum Height: 81 feet

Range Function: The range function (horizontal distance) can be determined using the formula: R = V₀t, where V₀ is the initial velocity and t is the time taken to reach the maximum height.

Answer:

Sqrt50

Step-by-step explanation:

In order to solve for the diagonal, we use the Pythagorean Theorem.

5^2+5^2=c^2

25+25=c^2

50=c^2

sqrt50=c

Answer:

When x=5, y=22. And when x=3, y=6.

Step-by-step explanation:

y=x^2-3

8x-y=18

-------------

y=8x-18

x^2-3=8x-18

x^2-8x-3=-18

x^2-8x-3-(-18)=0

x^2-8x-3+18=0

x^2-8x+15=0

factor out the trinomial,

(x-5)(x-3)=0,

zero property

x-5=0, x-3=0,

x=0+5=5

x=0+3=3

-------------------------

y=5^2-3=25-3=22

y=3^2-3=9-3=6

EUF = {2,4,6,8}

Step-by-step explanation:

Given

D = {xlx is a whole number]

E = {xix is a perfect square between 1 and 9)

F = {xlx is an even number greater than or equal to 2 and less than 9)

We have to find EUF

Writing E and F in set notation

E = {xix is a perfect square between 1 and 9)

There is only one perfect square between 2 and 9

So,

E = {4}

And

F = {2,4,6,8}

Now,

EUF = {4} U {2,4,6,8}

= {2,4,6,8}

Hence,

EUF = {2,4,6,8}

Keywords: Sets, union

Learn more about sets at:

#LearnwithBrainly

The union of the sets E and F results in the set { 2, 4, 6, 8 } option C, which includes all elements that are either in E or F or both.

To solve for E U F from the given sets, let's first define each set as you have described:

D = {x | x is a whole number less than 10} = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

E = {x | x is a perfect square between 1 and 9} = { 4 }

F = {x | x is an even number greater than or equal to 2 and less than 9} = {2, 4, 6, 8}

The union of two sets, E U F, includes all elements that are in either set E or set F or both. Therefore, E U F would be:

So, E U F = { 2, 4, 6, 8 } which is option C.

Complete question :

D = {xlx is a whole number}

E = {xlx is a perfect square between 1 and 9)

F = {xlx is an even number greater than or equal to 2 and less than 9}

Which of the following is EUF?

A.  {2, 3, 4, 5, 6, 7, 8}

B. (3, 4, 5, 6, 7, 8)

C. (2, 4, 6, 8)

D. {4}

Answer:

6 kitchen remodels

The drawing will help

Answer:

A) x=3

Step-by-step explanation:

x+2y=11

x+2(4)=11

x+8=11

x=11-8

x=3

Answer:

-2x^2-3x-9+-3x^2-4+6

16x - 3x - 9 + 9x - 4 + 6

13x - 9 + 9x  + 2

13x + 9x -9 + 2

21x -7

Step-by-step explanation:

-2x^2-3x-9+-3x^2-4+6

16x - 3x - 9 + 9x - 4 + 6

13x - 9 + 9x  + 2

13x + 9x -9 + 2

21x -7

The percent error in the meteorologist's forecast for Monday is 5.26316 %

Given that Monday's high temperature would be 76°F

On Monday,  the temperature reached 80°F

To find:  percent error in the meteorologist's forecast for Monday

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%

The percent error is given as:

[tex]\text {percent error }=\frac{\text {observed - standard}}{\text { standard value}} \times 100[/tex]

Here standard value = 76 and observed value on monday = 80

[tex]\text { percent error }=\frac{80-76}{76} \times 100[/tex]

[tex]\text { percent error }=\frac{4}{76} \times 100=5.26316 \%[/tex]

Thus percent error in the meteorologist's forecast for Monday is 5.26316 %

Answer:

5%

Step-by-step explanation:

i got it right

Answer:

Hailey walked 70 miles last month.​

Step-by-step explanation:

Consider the provided information.

Hailey walks at an average rate of 3.5 miles  per hour.

She walked 3 weeks  at her regular rate for 6 hours per week.

[tex]3\times (6\times 3.5)=3\times 21=63[/tex]

Hence, she walk 63 miles in last 3 weeks.

She walked 1 week at one-half her regular  rate for 4 hours.

Half of her regular  rate is [tex]3.5\div2[/tex]

Therefore, the distance covers

[tex]1\times (3.5\div2)4=7[/tex]

The sum of distance is: 63+7=70

Hailey walked 70 miles last month.​

Answer:

the answer is b

Step-by-step explanation:

Answer:

12) x = 10 or x = -10

13) b = 3 or b = -3.

14) r = 6 or r = -2

15)  n = 0 or -2

Step-by-step explanation:

12) Given, 4|x| + 3 = 43

Now, for x ≥ 0, |x| = x and for x < 0, |x| = -x

So, for x ≥ 0, the equation becomes 4x + 3 = 43

⇒ 4x = 40

⇒ x = 10

Again, for x < 0, we have - 4x + 3 = 43

⇒ - 4x = 40

⇒ x = - 10

Therefore, the solution of the equation is x = 10 or x = -10. (Answer)

13) Given, 3|b| + 5 = 14

Now, for b ≥ 0, |b| = b and for b < 0, |b| = -b

So, for b ≥ 0, the equation becomes 3b + 5 = 14

⇒ 3b = 9

⇒ b = 3

Again, for b < 0, we have - 3b + 5 = 14

⇒ - 3b = 9

⇒ b = - 3

Therefore, the solution of the equation is b = 3 or b = -3. (Answer)

14) 9|2r - 4| + 1 = 73

Now, for 2r - 4 ≥0 i.e. r ≥ 2, then

9(2r - 4) + 1 = 73

⇒ 2r - 4 = 8

⇒ 2r = 12

⇒ r = 6

Again, for (2r - 4) < 0 i.e. r < 2, then

9(4 - 2r) + 1 = 73

⇒ 4 - 2r = 8

⇒ 2r = - 4

⇒ r = -2

Hence, the solutions are r = 6 and r = -2  (Answer)

15) For, 10n + 10 ≥ 0 i.e. n ≥ -1, then

1 + 4(10n + 10) = 41

⇒ 10n + 10 =10

⇒ 10n = 0

⇒ n = 0

Again, for 10n + 10 < 0 i.e. n < -1, then

1 - 4(10n + 10) = 41

⇒ 10n + 10 = - 10

⇒ 10n = -20

⇒ n = -2  

Hence, the solution is n = 0 or -2 (Answer)

Answer: it is already in standard form

Step-by-step explanation: for example

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.

A x+/-By=c and in this case it is 2x-8y=16

The equation 2x-8y=16 is already in the standard form of a linear equation, which is represented as Ax + By = C, where A is 2, B is -8, and C is 16.

In Mathematics, the equation you provided, 2x-8y=16, is already in the standard form. The standard form of a linear equation is usually represented as Ax + By = C, where A, B, and C are integers, and A and B are not both zero. In your equation, 'A' corresponds to 2 (the coefficient of x), 'B' corresponds to -8 (the coefficient of y), and 'C' is equal to 16.

The equation describes a line on a two-dimensional space or plane, and it is used to define the relationship between two variables, x and y. The standard form allows you to quickly identify the x-intercept and y-intercept, which are used to graph the line.

The equation you provided does not need any further adjustments or transformations since it is already in its standard form.

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Answer:

Step-by-step explanation:

[tex]\text{Put the coordinates of the given point A(2, 3)}\\\text{to the equation of a line}\ kx-2y+k=0:\\\\A(2,\ 3)\to x=2,\ y=3\\\\(k)(2)-(2)(3)+k=0\\2k-6+k=0\qquad\text{add 6 to both sides}\\2k+k=6\\3k=6\qquad\text{divide both sides by 3}\\\boxed{k=2}[/tex]

The value of k will be 3.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point A(2,3) lies on the line given by equation kx- 2y + k = 0

Since, Point A is lies on the equation.

Hence, Point A(2,3) is satisfy by the equation;

The equation of line,

kx - 2y + k = 0

Substitute (x, y) = (2, 3) in above equation;

k × 2 - 2 × 3 + k = 0

2k - 6 + k = 0

3k - 6 = 0

3k = 6

k = 3

Thus, The value of k will be 3.

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3 batches can be made with 5 tablespoons of drink mix and 36 ounces of water

We have been given that a sports drink recipe calls for 5/3 tablespoons of powered drink mix for every 12 ounces of water.

We need to find out how many batches can be made with 5 tablespoons of drink mix and 36 ounces of water.

So, from the given information we see that to make 1 batch of sports drink we need 5/3 tablespoons of powdered drink mix for every 12 ounces of water.

So, we have 36 ounces of water. But we know that for 1 batch of sports drink we need to 12 ounces. So with 36 ounces of water we can make

[tex]=\frac{36}{12}[/tex]

= 3 batches

Therefore, we can make 3 batches of sports drink from 5 tablespoons of powdered drink mix and 36 ounces of water.

We can make 3 batches of the sports drink with 5 tablespoons of mix and 36 ounces of water, based on the recipe's ratio.

The subject of this question is mathematics, specifically a type of word problem involving ratios. In this case, the ratio is between the amount of powdered drink mix and the amount of water. The recipe stipulates a ratio of 5/3 tablespoons of mix for every 12 ounces of water. To find how many batches we can make with 5 tablespoons of mix and 36 ounces of water, we need to divide the quantities we have by the quantities needed for a single batch.

First, let's find how many batches we can make with the drink mix we have:

Then, we do the same with the water:

So, based on the quantities of both the mix and water, we can make 3 batches of the drink.

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Answer:

Define the two numbers as

x

x+7

2(x+7) + 1 = 5x

2x + 14 + 1 = 5x

15 = 3x

3x = 15

x = 5

x+7 = 12

One number is 7 less than another. 5 is 7 less than 12.

Twice the second number = 2*12 = 24

Is 24, 1 less than 5 times the first number.

5*5 = 25

25-24 = 1

The smaller of the two numbers is 5.

Answer: 30/250 and 45/375 would be two equivalent fractions.

Answer:

[tex]V=400\ mm^3[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BL[/tex]

where

B is the area of the triangular base

L is the length of the triangular prism (also is called the height of the prism) is the perpendicular distance between the triangular bases

we have

[tex]B=25\ mm^2[/tex]

[tex]L=16\ mm[/tex]

substitute

[tex]V=25(16)[/tex]

[tex]V=400\ mm^3[/tex]

Answer:

The volume of the triangular prism is [tex]400mm^3[/tex]

Explanation :

Area of the triangle = 25 sqmm

Height of the triangle prism = 16mm

Suppose height of the prism is h and breadth is b and length is l

Area= A

Since the formula of volume of prism is

Volume= Area ×height of the prism

= A × h

Substituting the values

= 25×16

=400mm3

The volume of the triangular prism is [tex]400mm^3[/tex]

Answer:

Answer:

The value of  (f-g)(x)=4^x-5x-14

Step-by-step explanation:

Given : If f(x) = 4^x-8 and g(x)=5x+6

To find : The value of  (f - g)(x)?

Solution :

f(x) = 4^x-8

g(x)=5x+6

We can write, (f-g)(x)=f(x)-g(x)

Substitute the value of f(x) and g(x)

(f-g)(x)=4^x-8-(5x+6)

(f-g)(x)=4^x-8-5x-6

(f-g)(x)=4^x-5x-14

Therefore, The value of  (f-g)(x)=4^x-5x-14

Plz mark brainliest

Answer:

(x-7) (x-4)

Step-by-step explanation:

3x²-33x+84 can be factored into

3 (x-7) (x-4)

Answer:

See below.

Step-by-step explanation:

The law of detachment says that, given to facts A and B:

if A ---> B (this is, if that fact that A happens make that B happens) and A is true (This is, A happens), so B will happen.

In this case let A be "Jillian gets a rise" and B "Jillian buys a car". A ---> B  means what the statement says "If Jillian gets a raise, then she will buy a new car". Here, the law of Detachment implies that if A happens, i.e., if Jillian gets a rise she would surely buy a new car. As she got her rise (the last sentence on the statement) so she WILL buy a new car.

You have to keep in mind that we can not make inference in the contrary sense. If you observe that Jillian bought a new car you can not say that she got a rise. The inverse sense does not work here, it is only in one direction, from A to B.

Answer:

Below

Step-by-step explanation:

Answer:

x = - 4/3

Step-by-step explanation:

Distribute:

3x - 12 = 12x.

-12 = 9x

x= - 12/9 or - 4/3

3(x-4)=12x​

multiply the bracket by 3

(3)(x)=3x

(3)9-4)=-12

3x-12=12x

move 3x to the other side

sign changes from +3x to -3x

3x-3x-12=12x-3x

-12=9x

divide both sides by 9 to get x by itself

-12/9=9x/9

-12/9=x

reduce -12/9 by dividing by 3

-12/3=-4

9/3=3

answer:

-4/3 or - 1 1/3

Answer:

a. $18.36 for 3 pizzas  :   k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 2

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒  [tex]x \propto y \implies  k = \frac{x}{y}[/tex]

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here,[tex]k =  \frac{18.36}{3} = 6.12[/tex]

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here,[tex]k =  \frac{4.17}{3} = 1.39[/tex]

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here,[tex]k =  \frac{16.48}{4} = 4.12[/tex]

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,[tex]k =  \frac{24}{2} = 12[/tex]

So, the proportionality constant is 12