Logan and Claudia want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which Logan values at $4, $1, and $2 respectively. (This means Logan values the 100 Snickers together at $4, or $0.04 for 1 Snickers)
If Claudia is the divider, and in one half puts: 35 Snickers 30 Milky Ways 55 Reese's What is the value of this half in Logan's eyes?

Answer:

Option C, y = -1/3x + 2

Step-by-step explanation:

2x + 6y = 12

Step 1:  Solve for y

2x + 6y - 2x = 12 - 2x

6y / 6 = (12 - 2x) / 6

y = 2 - 1/3x

Answer:  Option C, y = -1/3x + 2

Answer:

y = (1/3)x + 2

Step-by-step explanation:

2x + 6y = 12 can be reduced by dividing all three terms by 2; we get:

1x + 3y = 6.

We solve for y.  First, subtract 1x from both sides, obtaining:  

3y = -1x + 6.

Next, divide all three terms by 3.  We get

y = (1/3)x + 2

Step-by-step explanation:

in two months

Decrease of 25%

so you need to do

25%*12 is 3 minutes

Find the difference from 12 minutes

12-3 is 9 minutes.

therefore, his mile time is 9 minutes in two months

After improving his running speed by 25%, Guy would now run a mile time 9 minutes.

It would take for Guy to run a mile after improving his running speed by 25%. Guy's original mile time was 12 minutes. To find his new mile time, we calculate 25% of 12 minutes, which is 3 minutes.

Then, we subtract that from the original 12 minutes: 12 minutes - 3 minutes = 9 minutes. Therefore, Guy's new mile time, after reducing it by 25%, is 9 minutes.

The distance between -45 and -98 on a number line is 53 units.

The distance between -45 and -98 on a number line can be determined by subtracting the smaller number from the larger number:

-98 - (-45) = -98 + 45 = -53

The distance between -45 and -98 is 53 units.

https://brainly.com/question/16901376

#SPJ2

Answer:

x=-8,8

Step-by-step explanation:

[tex]\frac{x^2}{2} -32=0\\multiply ~by~2\\x^2-64=0\\x^2-8^2=0\\(x+8)(x-8)=0\\ether~ x=-8\\or~x-8=0\\x=8\\x=-8,8x=-8[/tex]

missing  either x+8=0

x=-8

Answer:

51 loaves

Step-by-step explanation:

Given that one case contains 20 loaves.

-Sum the number of partially filled cases and divide to get complete cases:

[tex]T_{loaves}=12+14+25\\\\=51[/tex]

#He has a total of 51 loaves:

[tex]20 loaves = 1 case\\51 loaves=x\\\\x=\frac{51}{20}\\\\x=2 \ rem 11[/tex]

Hence, Zack has a total of 51 loaves (2 full cases, 1 partial of 11 loaves)

Answer:

Option A.) y less-than negative 12

Step-by-step explanation:

we have

[tex]y+15<3[/tex]

solve for y

subtract 15 both sides

[tex]y+15-15<3-15[/tex]

[tex]y<3-15\\y<-12[/tex]

therefore

y less-than negative 12

Answer:

A

Step-by-step explanation:

Answer:

The answer would be 6.5 feet.

Pre-Thinking:

Knowing that the rose bushes grow at a rate of 3/4 feet per week, we can turn that into 0.75, a decimal.

Because, we need to know the height of the rose bush in 2 weeks, multiply 0.75 by 2.

0.75 * 2 = 1.5

Working and Stuff:

Because we only need the length of the American Home Rose Bush, which is 5 feet tall, we can discard the other rose bush.

Lastly, add 1.5 to 5.

1.5 + 5 = 6.5 feet

Amazing MS-Paint drawing of a rose bush:

Answer:

Johnny is incorrect because the slope is actually 6.

Step-by-step explanation:

To find the slope:  m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Step 1:  Plug in the points

m = [tex]\frac{4 - 10}{4 - 5}[/tex]

m = [tex]\frac{-6}{-1}[/tex]

m = 6

Answer:  Johnny is incorrect because the slope is actually 6.

Answer: 12.56 feet

Step-by-step explanation:

Given: The width of the circular path= 2 feet

The inner diameter of circular path= 150 feet

Therefore, the inner radius of circular path=

Now, the outer radius= 75+2=77 feet

We know that the circumference=

Inner circumference=

Outer circumference=

The difference=

Hence, the outer edge of the path is 12.56 feet farther than the inner edge

Answer:

m = 1

Step-by-step explanation:

Step 1:  Add 14m to both sides

-13m + 14m = 1 - 14m + 14m

m = 1

Answer:  m = 1

Answer:

It is equal to

11x-2.5-3e

Answer:

11x-5.5

Step-by-step explanation:

If you combine like terms it will be equivalent still.

5x and 6x can be added together which is 11x

you can also combine -2.5 and -3 which is -5.5

So the product will be 11x-5.5

Hope this helped :)

Answer:

the distance formula is just the pythagorean theorem, A^2+B^2=C^2, or the distance, C=sqrt(A^2+B^2). In order to find any point between 50 and 60 units away, simply choose a set of coordinates that will satisfy the equation using the given point, (7, -2), where abs(7-x) is A and abs(y-2) is B. for example, let x =60 and y=0, then C=sqrt(53^2+(-2)^2) =52.96 ish. which is between 50 and 60.

Step-by-step explanation:

Answer:

85 + z <= x <= 255 + z

Step-by-step explanation:

An inequality system will be given by a lower limit and an upper limit, therefore it is only necessary to raise an equation for each case, h being the hours worked and z the extra money you can earn by delivering the pizzas:

For the lower limit:

8.5 * h + z, knowing that in this case it is 10 hours.

85 + z would be the lower limit value

For the upper limit:

8.5 * h + z, knowing that in this case it is 30 hours.

225 + z would be the upper limit value

Therefore the inequality system would be as follows, let x be the money earned:

85 + z <= x <= 255 + z

Which means that the money earned will be determined by the previous inequality.

Answer:

10/16  

Step-by-step explanation:

Simplified: 5/8

A student selects 1 bag at random, then the probability that it is a bag of potato chips or a bag of pretzels is 0.625.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

There are 8 bags of potato chips, 5 bags of popcorn, 2 bags of pretzels and 1 bag of cheese puffs.

The number of bag of potato chips and bag of pretzels,

= 8 + 2

= 10

If a student selects 1 bag at random, then the probability that it is a bag of potato chips or a bag of pretzels:

The probability = number of favorable outcomes / total outcomes

The probability = 10 / 16

The probability = 5/8

The probability = 0.625

Therefore, the probability is 0.625.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

they are increasing by 9 so next is 108

Answer:

4b-3b=4+4

b=8

Step-by-step explanation:

Hence, the value of b is 8

#hope it helps

Answer:

b=8

Step-by-step explanation:

4b-4=3b+4

You have to add 4 to both sides so that all the like terms are together

4b=3b+8

Then you subtract 3b from each side so that the like terms are all together

b=8

Answer:

3

Step-by-step explanation:

List all the different teams:

A+B, C+D

A+C, B+D

A+D, B+C

There are 3.

Answer:

3

Step-by-step explanation:

2*2 - 1 = 3

Answer:

56

Step-by-step explanation:

Answer:

it's 9.947

Step-by-step explanation:

for this we need an equation which contain height in it so we used volume in both so we get height

π2^2h=5*5*5

π4h=125

h=9.947

To find the depth of water in the cylinder, calculate the volume of the cube and then use that volume to find the height of the cylinder.

To find the depth of water in the cylinder, we need to calculate the volume of the cube and then use that volume to find the height of the cylinder.

The volume of a cube is given by V = s^3, where s is the length of a side.

The volume of the cube is (5 cm)^3 = 125 cm^3.

Now, we can use the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height.

Using the volume of the cube as the volume of the water in the cylinder, we get 125 cm^3 = π(2 cm)^2h. Solving for h, we find h = 9.278 cm.

Therefore, the depth of the water in the cylinder is approximately 9.278 cm.

Answer:

A; C; D; E

Step-by-step explanation:

The answer is A, C, D, and E

A: 10, 24, 26

C: 8, StartRoot 161 EndRoot, 15

D: 20, 21, 29

E: 39, 80, 89

Answer:

A, C, D, E

Step-by-step explanation:

It's correct

Answer:

6 grams of gummy worms, 2 grams of candy corn and 2 grams of sourballs.

Step-by-step explanation:

Let the number of pounds of each ingredient be as follows:

Gummy Worms = x pounds

Candy Corn = y pounds

Sourballs = z pounds

The store makes a mixtures of 10 pounds. This means the sum of x, y and z would be 10. Setting up the equation:

[tex]x + y +z = 10[/tex]                                     (Equation 1)

The mixture calls for 3 times as many gummy worms as candy corn. This means amount of gummy worm will be 3 times the candy corn. Setting up the Equation:

[tex]x=3y[/tex]                                                  (Equation 2)

Cost of gummy worms is $1.00 per pound, candy corn cost $3.00 per pound, and sourballs cost $1.50 per pound. So cost of x, y and z pounds would be:

1x , 3y and 1.5z, respectively. The total cost of mixture is $15. So we can set up the Equation as:

[tex]x+3y+1.5z=15[/tex]                                (Equation 3)

Using the value of x from Equation 2, in Equations 1 and 3 give us following two equations:

[tex]4y+z=10[/tex]                             By substitution in Equation 1. (Equation 4)[tex]6y+1.5z=15[/tex]                        By substitution in Equation 3. (Equation 5)

Multiplying the Equation 4 by 1.5 and subtracting from Equation 5 gives us:

[tex]6y +1.5z-1.5(4y+z)=15-1.5(10)\\\\ 6y+1.5z-6y-1.5z=15-15\\\\ 0=0[/tex]

When two sides of equations turn into something that is always positive, we conclude that there are infinite number of solutions. In such cases, we fix a variable and give different values to it, to find corresponding values of other variables. Lets re-write the solution in terms of z.

From Equation 4, we have:

[tex]y=\frac{10-z}{4}[/tex]

From Equation 2, we have:

[tex]x=3(\frac{10-z}{4} )[/tex]

Therefore, the solution set will be:

[tex](3(\frac{10-z}{4} ), \frac{10-z}{4} , z)[/tex]

Now in order to find any combination of ingredient, we give any value to z. Let, z is equal to 2 grams.

So,

x would be = 6 grams

y would be = 2 grams

So, one of the possible amount of ingredients that store can use is:

6 grams of gummy worms, 2 grams of candy corn and 2 grams of sourballs.

[tex](5x+2)(7x-2)[/tex]

Applying distributive property:

[tex]5x\cdot \:7x+5x\left(-2\right)+2\cdot \:7x+2\left(-2\right) \\ \\ 35x^2-10x+14x-4[/tex]

Combining like terms:

[tex]\boxed{35x^2+4x-4}[/tex]

[tex](5p-5)(7p+6)[/tex]

Applying distributive property:

[tex]5p\cdot \:7p+5p\cdot \:6+\left(-5\right)\cdot \:7p+\left(-5\right)\cdot \:6 \\ \\ 35p^2+30p-35p-30[/tex]

Combining like terms:

[tex]\boxed{35p^2-5p-30}[/tex]

[tex](n-7)(3n+1)[/tex]

Applying distributive property:

[tex]n\cdot \:3n+n\cdot \:1+\left(-7\right)\cdot \:3n+\left(-7\right)\cdot \:1 \\ \\ 3n^2+n-21n-7[/tex]

Combining like terms:

[tex]\boxed{3n^2-20n-7}[/tex]

The figure below shows the result of each case.

Answer:

slope: 5x/3 and y-intercept: 1

Answer:

5/3 is slope

(0, 1) or 1 is y-int

Step-by-step explanation:

y = mx + b

m is slope

b is y-int

y = 5 x/3 + 1

y = 5/3x + 1

5/3 is slope

(0, 1) or 1 is y-int

Option A:

[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]

Solution:

Given expression [tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)[/tex].

To find the product of the above expression:

[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)[/tex]

First multiply first two factors with each term.

           [tex]=(x^{4} \times 3 x^{3}- x^{4} \times 2 ) \left(4 x^{2}+5 x\right)[/tex]

Using exponent rule: [tex]a^m \cdot a^n=a^{m+n}[/tex]

            [tex]=(3 x^{7}- 2x^{4} ) \left(4 x^{2}+5 x\right)[/tex]

Now multiply these two factors with each term.

            [tex]=3 x^{7} (4 x^{2}+5 x)- 2x^{4} \left(4 x^{2}+5 x\right)[/tex]

            [tex]=(4 x^{2} \times 3 x^{7} +5 x \times 3 x^{7} )- \left(4 x^{2} \times 2x^{4}+5 x \times 2x^{4}\right)[/tex]

Using exponent rule: [tex]a^m \cdot a^n=a^{m+n}[/tex]

            [tex]=(12 x^{9} +15 x^{8} )- (8 x^{6}+10 x^{5})[/tex]

           [tex]=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]

[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]

Hence option A is the correct answer.

Answer:

x = 8/3

Step-by-step explanation:

3x - 1 = 7

3x = 8

x = 8/3

Answer:

the number is 8/3 (= 2 2/3)

Step-by-step explanation:

let the number be x

"3 times a number" --> 3x

"one less than 3 times a number" --> (3x - 1)

"one less than 3 times a number is 7" --> (3x - 1) = 7  (solve for x)

3x - 1 = 7    (add 1 to both sides)

3x = 7 + 1

3x = 8   (divide both sides by 3)

x = 8/3

Answer:

c. 4 4÷2 =8 hope it helps

Any polygon that has exactly 3 sides is called a triangle. Here you haven't provided any figure, so I'll assume that we have two triangles as indicated in the figure below. As you can see, we have two sides:

[tex]KM \ and \ FH[/tex]

When placing together we realize that those sides measures the same, so:

[tex]KM=FH[/tex]

So [tex]KM/FH[/tex] is the diagonal of the shape. From the figure we also know that opposite sides are equal and parallel, therefore, this shape represents a parallelogram. Remember that a parallelogram is a quadrilateral where both pairs of opposite sides are parallel.

So correct option is:

Parallelogram

Answer:

The correct answer is A. parallelogram

Step-by-step explanation:

Right on ED2021, goodluck!

The value of a car that costs $30,000 and depreciates at 6.5% annually will be $22,530 after 5 years, calculated using exponential decay.

The value of a car is $30,000 and it loses 6.5% of its value each year. To calculate the value of the car after 5 years, we can apply the concept of exponential decay. The value after one year would be the initial value minus 6.5% of the initial value. Mathematically, we can express this as:

V1 = V0 (1 - 0.065),

where V1 is the value after one year and V0 is the initial value. To find the value after 5 years, we would apply this formula iteratively or use the formula for exponential decay:

Vn = V0 x (1 - 0.065)ⁿ,

where Vn is the value after n years. Therefore:

V5 = $30,000  x (1 - 0.065)⁵,

V5 = $30,000 x (0.935)⁵,

V5 = $30,000 x 0.7510,

V5 = $22,530.

After 5 years, the value of the car will be $22,530.