On average, Christopher scores 2 goals in a soccer game but, depending on how well the opposing team is playing, his goal total can vary from the average by 1 goal. Which absolute value equation can be used to calculate Christopher's maximum and minimum goals per game? Let x represent the maximum and minimum goals. |x−2|=1 |x+2|=1 |x−1|=2 |x+1|=2.

Answer:

x>-13/6

Step-by-step explanation:

First you multiply inside the bracket by -5 on left side. You get

-15x-20<6-3x

Then you place the like terms on same sides for which you add 3x to both side to get rid of 3x from right side and you add 20 to both sides to get ride of 20 from left side

-15x+3x<20+6

then you solve for x

-12x<26

x<-26/12

x> -13/6 (the inequality sign changes due to multiplication by a negative number)

Answer with Step-by-step explanation:

a. The difference between 8 forty-sevens and 7 forty-sevens

Let ⊕ repesents forty- sevens.

So, Model can be represented by

8⊕ - 7⊕

=⊕⊕⊕⊕⊕⊕⊕⊕-⊕⊕⊕⊕⊕⊕⊕

=⊕

Mathematically,

let x represents forty-sevens.

So, it becomes

[tex]8x-7x=x[/tex]

b. 6 times the sum of 12 and 8.

Mathematically, it is expressed as

[tex]6\times (12+8)\\\\=6\times 20\\\\=120[/tex]

Let 12 be written as 4×3

and 8 be written as 4×2

Let ⊕ represents 4 i.e. fours.

so, there are sum of 2 fours and 3 fours.

So, it becomes,

6×(⊕⊕+⊕⊕⊕)

=6×(⊕⊕⊕⊕⊕)

=⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕⊕

=4×30

=120

Answer:

thanks

Step-by-step explanation:

Answer:

sandwich hut is the best deal (what's the question????)

Step-by-step explanation:

because sandwich hut is buy one get one free, one sandwich costs $1.00 ($2 divided by 2 sandwiches)

Benny's costs $1.25 per sandwich ($5 divided by 4 sandwiches)

ABC costs $1.50 per sandwich ($6 divided by 4 sandwiches)

Answer:

Sandwich hut is the best deal.

Step-by-step explanation:

Find the unit rate of each stand, and you find which one is the best deal.

Answer: To find out the unlabeled one on the inside subtract 180- 123, then you Get 57. Now do 180 = 57 + x +

92. Add up the whole numbers to get 180 = 149 + x now subtract 149 from 180, to get 31 and it equals x TADA

Step-by-step explanation:

The exact value of [tex]\( L \) is \(-\frac{44}{3}\).[/tex]

To find [tex]\( x \)[/tex], we need to use the fact that [tex]\( LK = MK \)[/tex] and apply the given values and equations.

1. Set up the equation for [tex]\( LK \)[/tex] and [tex]\( MK \):[/tex]

Given:

2. Substitute the given expressions:

3. Set up the equation [tex]\( LK = MK \)[/tex]

4. Solve for [tex]\( x \):[/tex]

5. Find [tex]\( L \):[/tex]

Convert 10 to a fraction:

Thus, [tex]\( L \)[/tex] would be [tex]\(-\frac{44}{3}\)[/tex], assuming [tex]\( L \)[/tex] represents the value of [tex]\( LK \).[/tex]

The complete question is:

If LK = MK, LK = 7x-10, KN = x + 3, MN = 9x - 11. and KJ = 28, find L.

Answer:

Step-by-step explanation:

the  equation line passes through(-3,0)and (0,3)  is : y=ax+b

a is the slope   a = (3-0)/(0+3) = 1

so : y= x +b  calculate b  line passes through(-3,0)and (0,3)

x=0   y=3  : 3 = 0+b       so  b= 3

this equation is : y= x+3

Step-by-step explanation:

multiply the 1 1/2 by 2 to get 3.

find the closest number that is divisible by 3

3*7 is 21.

We now have to multiply 7 by 2 since we did that to our mixed number to get a whole number.

There is still a 1 1/2 left over. Simply add 1 to 14.

Answer:

15 servings

Step-by-step explanation:

Given,

Total number of cups = [tex]22\frac{1}{2}[/tex]

The number of cups required for each serving = [tex]1\frac{1}{2}[/tex]

Thus,

[tex]\text{The number of servings}=\frac{\text{Total cups}}{\text{cups required for each serving}}[/tex]

[tex]=\frac{22\frac{1}{2}}{1\frac{1}{2}}[/tex]

[tex]=\frac{\frac{45}{2}}{\frac{3}{2}}[/tex]

[tex]=\frac{45}{3}[/tex]

= 15

Final answer:

The constant of proportionality for dollars earned per hour worked is 6.25, and the constant of proportionality for hours worked per dollar earned is 0.16.

Explanation:

To find the constant of proportionality for dollars earned per hour worked, we can use the formula y = kx, where y is the amount earned and x is the number of hours worked. Given that Lucy earned $25 for 4 hours of work, we can substitute these values into the equation:

25 = k * 4

Solving for k, we divide 25 by 4:

k = 25 / 4 = 6.25

Therefore, the constant of proportionality for dollars earned per hour worked is 6.25.

To find the constant of proportionality for hours worked per dollar earned, we can rearrange the equation to x = my, where x is the number of hours worked and y is the amount earned. Substituting the values, we get:

4 = m * 25

Solving for m, we divide 4 by 25:

m = 4 / 25 = 0.16

Therefore, the constant of proportionality for hours worked per dollar earned is 0.16.

Answer: 9

The steps are in the picture

Answer:

8x² + 5x - 3

Step-by-step explanation:

Given

(3x² - 2) + (5x² + 5x - 1)

Since both parenthesis are distributed by 1 just remove them, that is

3x² - 2 + 5x² + 5x - 1 ← collect like terms

= (3x² + 5x²) + 5x + (- 2 - 1)

= 8x² + 5x - 3

Answer: i can't speak english

Step-by-step explanation:

Rewrite the fractions with common denominators and then answer:

A:

13/14 > 25/28

26/28 > 25/28    

This is True

B) 21/45 < 20/45  False

C) 10/12 > 11/12

False

D) 20/25 < 8/25

False

The true statement is A.

Answer:

Part a) The estimate amount of medicine is 30.0 grams

Part b) The actual amount of medicine is 29.925 g. The difference between the  estimate and the actual amount, is 0.075 g

Part c) 5.985 grams

Part d) 6 grams

Step-by-step explanation:

The complete question is

Dr. Mann mixed 10.357 g of chemical A, 12.062 g of chemical B, and 7.506 g of chemical C to make 5  doses of medicine.

a. About how much medicine did he make in grams? Estimate the amount of each chemical by  rounding to the nearest tenth of a gram before finding the sum. Show all your thinking.

b. Find the actual amount of medicine mixed by Dr. Mann. What is the difference between your  estimate and the actual amount?

c. How many grams are in one dose of medicine? Explain your strategy for solving this problem.

d. Round the weight of one dose to the nearest gram

Part a) round  to the nearest tenth of a gram first

Chemical A

10.357 g -----> 10.4 g

Chemical B

12.062 g -----> 12.1 g

Chemical C

7.506 g -----> 7.5 g

To find out the estimate amount of medicine sum the three values

10.4+12.1+7.1=30.0 g

therefore

The estimate amount of medicine is 30.0 grams

Part b)

The actual amount of medicine is

10.357+12.052+7.506=29.925 g

To find out the difference between your  estimate and the actual amount, subtract the actual amount from the estimate

30.0-29.925=0.075 g

Part c) To find out how many grams are in one dose of medicine, divide the actual amount of medicine by five

29.925 g/5=5.985 g

Part d) Round the weight of one dose to the nearest gram

we have

5.985 g ------> 6 g

Answer:

22x-3

Step-by-step explanation:

(2x-3)+[4x(3x+2)]

(2x-3)+12x+8x

2x-3+20x

12x^2

Answer:

-14 *F

Step-by-step explanation:

-3 minus 11 is -14

hope this helps

Hey!

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

[tex]\large\boxed{A) -14~degrees~fahrenheit}[/tex]

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

Steps To Solve:

~Create an equation

-3 - 11

~Subtract

-14

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

Hope This Helped! Good Luck!

Answer:

see explanation

Step-by-step explanation:

Using the Section formula, then

[tex]x_{P}[/tex] = [tex]\frac{3(9)+4(-2)}{3+4}[/tex] = [tex]\frac{27-8}{7}[/tex] = [tex]\frac{19}{7}[/tex]

and

[tex]y_{P}[/tex] = [tex]\frac{3(11)+4(4)}{3+4}[/tex] = [tex]\frac{33+16}{7}[/tex] = [tex]\frac{49}{7}[/tex] = 7

Hence

P = ( [tex]\frac{19}{7}[/tex], 7 )

Answer:

Complete each of the statements below.

When work is done on a system by its surroundings, the sign of w is                           [ Select ]                       ["positive", "negative"]         .

When work is done by a system on its surroundings, the sign of w is                           [ Select ]                       ["negative", "positive"]         .

When q has a negative sign, we can say that heat is transferred                           [ Select ]                       ["from", "into"]         the system                            [ Select ]                       ["from", "into"]         its surroundings.

If ∆U for a system is 0 and w is negative, then q must be                           [ Select ]                       ["positive", "negative"]         .

Step-by-step explanation:

1. Expression 1: [tex]\((3x^2 - 6x + 11) \cdot (10x^2 - 4x + 6)\)[/tex]:[tex]\[30x^4 - 72x^3 + 34x^2 - 44x + 66\][/tex]

2. Expression 2: [tex]\((-3x^2 - 5x + 3) \cdot (-10x^2 - 7x + c)\)[/tex]:[tex]\(30x^4 + 71x^3 + 5x^2 - 21x + 3c\).[/tex]

3. Expression 3: [tex]\((12x^2 + 6x - 5) \cdot (5x^2 + 8x - 12)\)[/tex]: [tex]\(60x^4 + 126x^3 + 53x^2 + 40x - 60\).[/tex]

the expressions step by step:

1. Expression 1: [tex]\((3x^2 - 6x + 11) \cdot (10x^2 - 4x + 6)\)[/tex]

  To multiply these two expressions, we'll use the distributive property (also known as the FOIL method). Multiply each term in the first expression by each term in the second expression and then combine like terms.

  - Multiply the first terms: [tex]\(3x^2 \cdot 10x^2 = 30x^4\)[/tex]

  - Multiply the outer terms: [tex]\(3x^2 \cdot (-4x) = -12x^3\)[/tex]

  - Multiply the inner terms: [tex]\((-6x) \cdot 10x^2 = -60x^3\)[/tex]

  - Multiply the last terms: [tex]\((-6x) \cdot (-4x) = 24x^[/tex]2\)

  Now add up all the results:

  [tex]\[30x^4 - 12x^3 - 60x^3 + 24x^2 + 11 \cdot 10x^2 - 11 \cdot 4x + 11 \cdot 6\][/tex]

  Combine like terms:

[tex]\[30x^4 - 72x^3 + 34x^2 - 44x + 66\][/tex]

So, the equivalent expression is:[tex]\(30x^4 - 72x^3 + 34x^2 - 44x + 66\)[/tex].

2. Expression 2: [tex]\((-3x^2 - 5x + 3) \cdot (-10x^2 - 7x + c)\)[/tex]

  Follow the same steps as above to multiply the expressions:

  - Multiply the first terms: [tex]\((-3x^2) \cdot (-10x^2) = 30x^4\)[/tex]

  - Multiply the outer terms: [tex]\((-3x^2) \cdot (-7x) = 21x^3\)[/tex]

  - Multiply the inner terms: [tex]\((-5x) \cdot (-10x^2) = 50x^3\)[/tex]

  - Multiply the last terms: [tex]\((-5x) \cdot (-7x) = 35x^2\)[/tex]

  Combine the results:

[tex]\[30x^4 + 21x^3 + 50x^3 + 35x^2 + 3 \cdot (-10x^2) + 3 \cdot (-7x) + 3c\][/tex]

  Combine like terms:

[tex]\[30x^4 + 71x^3 + 35x^2 - 30x^2 - 21x + 3c\][/tex]

  Simplify further:

[tex]\[30x^4 + 71x^3 + 5x^2 - 21x + 3c\][/tex]

  So, the equivalent expression is: [tex]\(30x^4 + 71x^3 + 5x^2 - 21x + 3c\).[/tex]

3. Expression 3: [tex]\((12x^2 + 6x - 5) \cdot (5x^2 + 8x - 12)\)[/tex]

  Apply the same process:

  - Multiply the first terms:[tex]\(12x^2 \cdot 5x^2 = 60x^4\)[/tex]

  - Multiply the outer terms: [tex]\(12x^2 \cdot 8x = 96x^3\)[/tex]

  - Multiply the inner terms:[tex]\(6x \cdot 5x^2 = 30x^3\)[/tex]

  - Multiply the last terms:[tex]\(6x \cdot 8x = 48x^2\)[/tex]

  Combine the results:

  [tex]\[60x^4 + 96x^3 + 30x^3 + 48x^2 + 5 \cdot 5x^2 + 5 \cdot 8x - 5 \cdot 12\][/tex]

  Combine like terms:

  [tex]\[60x^4 + 126x^3 + 53x^2 + 40x - 60\][/tex]

  The equivalent expression is: [tex]\(60x^4 + 126x^3 + 53x^2 + 40x - 60\).[/tex]

Answer:

13, 12, and 11. Im on connexus and when i submitted it said those are the correct answers. Hope it helps! :)

Step-by-step explanation:

Answer:

4 is the highest common factor

Answer:

The highest common factor is 4

Step-by-step explanation:

Factors of 24 are { 1,2,3,4,6,8,12.......}

And factors of 76 are{ 1,2,4,19......)

from the two factors,

common factor ( C. F ) ={1,2,4}

and from the common factors, the highest is 4

Therefore 4 is the highest common factor for 24 and 76.

Answer:

73+d

We don’t know what d equals so leave the variable, then just add the 73 he already had.

Step-by-step explanation:

Answer: 37.2204mph

Step-by-step explanation: First, I converted 5 7/8 into 5.88 then I converted  6 1/3 into 6.33 and then multiplied the two then I got my answer.

Answer:

37 5/24 mph

Step-by-step explanation:

You need to multiply the numbers. First, convert them into fractions.

6 1/3 * 5 7/8 =

= (6 + 1/3) * (5 + 7/8)

= (6/1 + 1/3) * (5/1 + 7/8)

= (18/3 + 1/3) * (40/8 + 7/8)

= (19/3) * (47/8)

= 893/24

= 37 5/24

The answer is "453.592 grams." One pound does indeed equal 453.592 in grams.

Hope this helps.

Answer:

300, 600, 300.

Step-by-step explanation:

324:  The tens digit is 2 so we do nothing to the hundreds digit so its 300.

558:  The tens digit is 5 so we round up the 5 . So it is 600.

In a similar way 256 becomes 300.

Answer:

300, 600, 300

Step-by-step explanation:

When you round a number up by the nearest 100. The digit in the tens place must be equal to or more than 5.

For example: 250 is rounded up to 300, but 240 can not be rounded up to 300.

When you have a number like 240, it can only be rounded down to 200

324 is rounded down to 300 because the tens place digit is less than 5

558 is rounded up to 600 because the tens place digit is higher than 5.

256 is rounded up to 300 because the tens place digit is 5.

Step-by-step explanation:

EF is a segment so it's a line with the end points as E and F. Line RS bisects(cuts in half) line EF. Then where the two lines meet is where A is.

Hope this helped.

EF is a segment so it's a line with the end points as E and F. Line RS bisects(cuts in half) line EF. Then where the two lines meet is where A is.

To draw segment EF so that it bisects segment RS and mark their intersection point A, follow these steps:

Draw segment RS. This will be your starting line segment.

Find the midpoint of segment RS. To do this, measure the length of RS and mark the point that is exactly halfway between R and S. Let's call this point M.

Draw a straight line segment EF that passes through point M. This line segment will bisect segment RS.

Where segment EF intersects segment RS, mark the point of intersection as point A.

To know more about points:

https://brainly.com/question/22474261

#SPJ3

Answer:

6.25 km an hour

please mark brainliest

Step-by-step explanation:

Answer:

Average velocity = 6.25 km/h

Step-by-step explanation:

Given  : A horse began running due east and covered 25 km in 4.0 hr.

To find :  What is the average velocity of the horse.

Solution : We have given

Displacement  = 25 km

Time = 4 hr.

Velocity = [tex]\frac{Total\ displacement}{time}[/tex].

Velocity = [tex]\frac{25}{4}[/tex].

Average velocity = 6.25 km/h

Therefore, Average velocity = 6.25 km/h

Answer:

1+2x=13

Step-by-step explanation:

the sum of= +

one=1

products of a number and 2= 2x

equals= =

thriteen=13

Put them all together:

1+2x=13

Answer:

The value of x is 2

Step-by-step explanation:

* Lets explain how to find a distance between 2 points

- If the endpoints of a segment are [tex](x_{1},y_{1})[/tex] and

 [tex](x_{2},y_{2})[/tex] is [tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

- Triangle ABC has a perimeter of 12 units

∵ The perimeter of any triangle is the sum of lengths of its sides

∴ P Δ ABC = AB + BC + AC

* Lets find the length of the three sides

∵ A = (x , 2) , B = (2 , -2) , C = (-1 , 2)

∵ [tex]AB=\sqrt{(2-x)^{2}+(-2-2)^{2}}[/tex]

∴ [tex]AB=\sqrt{(2-x)^{2}+(-4)^{2}}[/tex]

∴ [tex]AB=\sqrt{(2-x)^{2}+16}[/tex]

∵ [tex]BC=\sqrt{(-1-2)^{2}+(2--2)^{2}}[/tex]

∴ [tex]BC=\sqrt{(-3)^{2}+(4)^{2}}[/tex]

∴ [tex]BC=\sqrt{9+16}[/tex]

∴ [tex]BC=\sqrt{25}[/tex]

∴ BC = 5

∵ [tex]CA=\sqrt{(x--1)^{2}+(2-2)^{2}}[/tex]

∴ [tex]CA=\sqrt{(x+1)^{2}+(0)^{2}}[/tex]

∴ [tex]CA=\sqrt{(x+1)^{2}}[/tex]

- The √ is canceled by power 2

∴ CA = (x + 1)

∵ AB + BC + CA = 12

∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] + 5 + (x + 1) = 12

- Add 5 and 1

∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] + 6 + x = 12

- subtract 6 and x from both sides

∴ [tex]\sqrt{(2-x)^{2}+16}[/tex] = (6 - x)

- To cancel (√ ) square the two sides

∴ (2 - x)² + 16 = (6 - x)²

- Simplify the two sides

∴ [(2)(2) + (2)(2)(-x) + (-x)(-x)] + 16 = (6)(6) + (2)(6)(-x) + (-x)(-x)

∴ 4 - 4x + x² + 16 = 36 - 12x + x²

- Subtract x² from both sides

∴ 20 - 4x = 36 - 12x

- Add 12x to both sides and subtract 20 from both sides

∴ 12x - 4x = 36 - 20

∴ 8x = 16

- Divide both sides by 8

∴ x = 2

* The value of x is 2

Answer: 580+29x = 490 + 35x

90 = 6x

15 = x

15 days is your answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:  The correct option is

(A) [tex]\dfrac{1}{9}.[/tex]

Step-by-step explanation:  Given that y is directly proportional to x, and y = 6 when x = 54.

We are to find the constant of proportionality.

According to the given information, we can write that

[tex]y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~[\textup{where k is the constant of proportionality}]\\\\\Rightarrow k=\dfrac{y}{x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

When y = 6 and x = 54, then from equation (i), we get

[tex]\dfrac{6}{54}=k\\\\\Rightarrow k=\dfrac{1}{9}.[/tex]

Thus, the required value of the constant of proportionality is [tex]\dfrac{1}{9}.[/tex]

Option (A) is CORRECT.