A list contains 7 consecutive even numbers in ascending order.The largest number is 30 and the smallest is 12 less than this.The mode is 20 and median is 22.If the sum of the two remaining numbers is 50,find all the number​

Answer:

The price where the manufacture sells the maximum number of toys is $20

Step-by-step explanation:

The given equation for that represents the number of toys the manufacturer can sell is given as follows;

T = -4·p² + 160·p - 305

Where;

p = The price of the toys in dollars

At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0

Therefore, at the maximum point;

The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160

∴ -8·p + 160 = 0

160 = 8·p

8·p = 160

p = 160/8 = 20

The price where the manufacture sells the maximum number of toys is = p = 20 dollars

Answer:

1 and 7/8 in two hours

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Given

[tex]Monday = \frac{1}{4}[/tex]

[tex]Tuesday = \frac{1}{4}[/tex]

[tex]Wednesday = Others[/tex]

Required

Determine the fraction of Wednesday

The summation of fractions on each day must be equal to 1.

So:

[tex]Monday + Tuesday + Wednesday = 1[/tex]

Substitute values for Monday and Tuesday

[tex]\frac{1}{4} +\frac{1}{4} +Wednesday = 1[/tex]

Collect Like Terms

[tex]Wednesday = 1 - \frac{1}{4} -\frac{1}{4}[/tex]

Take LCM

[tex]Wednesday = \frac{4 - 1 - 1}{4}[/tex]

[tex]Wednesday = \frac{4 - 2}{4}[/tex]

[tex]Wednesday = \frac{2}{4}[/tex]

Simplify fraction

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

Answer:

The smallest combination of the numbers is 20 and 140

Step-by-step explanation:

The given parameters are;

The Highest Common Factor HCF of the two number = 20

The Lowest Common Multiple LCM of both numbers = Multiple of 14

Let x and y represent the two numbers, we are given;

x > y

We have;

[tex]L.C.M. = \dfrac{Product \ of \ the \ numbers}{H.C.F.}[/tex]

Substituting the known values, we have;

[tex]x \times 14 = \dfrac{Product \ of \ the \ numbers}{20}[/tex]

The product of the numbers = x × 14 × 20

The possible products of the numbers are;

280, 560, 840, 1,120, 1,400, 1,680, 1,960, 2,240, 2.520, 2,800, 3,080, 3,360, 3,640, 3,920

Dividing the possible products by 20 gives, the smallest quotient that is also a multiple of 20 as 140, from which we have;

20 × 140 = 2,800

Therefore, the smallest combination of the numbers = 20 and 140.

Answer:

If I'm not wrong, I think it's 0.5

Step-by-step explanation:

This is because if the false posative rate 23% and there are 2 people, you would find 23% of 2, which gives you 0.46.  Rounded, this is 0.5. So there is  a 0.5% probability that more than 0 valenteers will get false posative results.

Answer:

1.6

this is a rational number, since it can be written in fraction form, however it is not an integer because it is a decimal number and not a whole number.

====================================================

Explanation:

Pick any two numbers you want as long as they don't divide to form an integer. For instance, picking 14 and 7 divides to 14/7 = 2 which is an integer. So this pair of values won't work.

In this case, 2 and 3 don't divide to form an integer. We can see this through using a calculator

2/3 = 0.667 approximately

Note: The denominator can never be zero. The numerator can be zero, but a zero numerator leads to an integer, so you'll have to ignore zero entirely for this problem.

Answer:

5/14

Step-by-step explanation:

5*4           20

-----   =   ---------  =  5/14

8*7           56

Hope this helps and have a good day!

Answer:

C, third quadrant

Step-by-step explanation:

Answer:

27/200 :)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3/4×4=12/16 I just multiplied to make it the same

Answer:

(20 - 3x) + (20 - 7x) = 25 with x being the price of the item bought. (I think)

Step-by-step explanation:

I believe this would be the equation, I'm not sure what the answer would be though, sorry about that.

Answer:

X= $1.5

Step-by-step explanation:

y=mx +b

Y= total amount they had,  M= the amount they bought,  X= how much the item cost, B= the amount they of change they had left

40= 10x + 25

Subtract 25 from both sides

40-25= 15

15= 10x

divide 10 from both sides

15/10= 1.5

x= 1.5

Answer:

5.683

Step-by-step explanation:

Add them together and check by using subtraction..

Answer:

$121

Step-by-step explanation:

First fin 10% of 110

11

then add that to 110

121

Answer:

$11

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees, use this and set up an equation;

x + ( 4x -5 ) + 55 = 180

Simplify

x + ( 4x - 5 ) + 55 = 180

5x + 50 = 180

Inverse operations;

5x + 50 = 180

    -50     - 50

5x = 130

/5    /5

x = 26

Answer:

There are 30 nonfiction books.

Step-by-step explanation:

The answer is 30 because 7 plus 5 is 12 and 72 divided by 12 is 6 and 6 times 5 is 30.

P.S Can I have brainliest?

Answer:

how much is the stuff she need

Step-by-step explanation:

she has $50

how much is the favored syrup, ice, paper cones

Answer:

35 cones

Step-by-step explanation:

I did the math she can give at most 35 cones. 0.75x+25>(closed line under for >)50

Answer:

The answer is A

Step-by-step explanation:

hope this helps,

If you like my answer please give brainliest,

Happy Holidays!

Answer:

0.68 cents

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

22.2

Answer:

A. 22.2 ounces

<3 Enjoy,

    Dea

Answer: All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.

Answer:

3:8

Step-by-step explanation:

coz thee can't be simplified with 8

Step-by-step explanation:

There are three big '1' blocks shaded in dark blue. They have a total sum of 3.

There are 9 small '1/3' blocks shaded in light blue. They also have a total sum of 3.

We can divide the total sum, 3, by the '1/3' blocks to get 9 blocks.

The division problem being shown is 3 / (1/3) = 9.

The division 3 ÷ (1/3) model shows 3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third option first is correct.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

As we can see in the picture:

There is a dark blue box in which there are 3 times 1 so the total sum of the ones:

= 1

There are three sky blue boxes each box contains 1/3 of the sum of the all 1/3 is:

=9(1/3)

= 3

So the fraction becomes:

[tex]= \frac{3}{\frac{1}{3} }[/tex]  or

= 3 ÷ (1/3)

= 9

Thus, the division 3 ÷ (1/3) model shows 3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third option first is correct.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

8.75h = 50

Step-by-step explanation:

h is the number of hours Thomas needs to groom the dogs.

The rate is $8.75 per hour.

His goal is $50.

$8.75 × h = $50

$8.75h = $50

Step-by-step explanation:

Per h =8.75

Then 50=?h

H=50/8.75= 5.71.... Ans

Answer:

the 3rd one

Step-by-step explanation:

You have to solve each of the equations to find the answer

hope this helps dont 4get to like and star-mercury

Answer:

x=20

Step-by-step explanation:

Look Angle A and D are Congruent so they equal the same

3x−10=2x+10

Subtract 2x from both sides

3x−10−2x=2x+10−2x

x−10=10

Add 10 to both sides.

x−10+10=10+10

x=20

Hope This helps

Answer:

15-8+-16

Step-by-step explanation:

Answer:

A.(1,2)

Step-by-step explanation:

Step: Substitute

−2 /3 y +  7 /3

4x−12y=−20:

4x−12y=−20

4( −2 /3 y +  7 /3 )−12y=−20

-44/3y +  28 /3 =−20(Simplify both sides of the equation)

−44 /3 y +  28 /3  +  −28 /3  =−20+  −28 /3

(Add (-28)/3 to both sides)

−44 /3 y=  −88 /3

−44 /3 y

−44 /3 =  −88 /3  −44 /3

(Divide both sides by (-44)/3)

y=2

Step: Substitute2foryinx=

−2 /3 y+ 7 /3 :

x= −2 /3 y+ 7 /3

x= −2 /3 (2)+ 7 /3

x=1(Simplify both sides of the equation)

Answer:

x=1 and y=2

Answer:

Graph 2 has a different constant of proportionality

Step-by-step explanation:

See attachment for graphs

To calculate the constant of proportionality, we simply determine the slope of each graph using

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where x's and y's are corresponding values of x and y

Graph 1:

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (0.8,4)[/tex]

Substitute these values in: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4 - 0}{0.8 - 0}[/tex]

[tex]m = \frac{4}{0.8}[/tex]

[tex]m = 5[/tex]

Graph 2:

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (10,55)[/tex]

Substitute these values in: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{55 - 0}{10 - 0}[/tex]

[tex]m = \frac{55}{10}[/tex]

[tex]m = 5.5[/tex]

Graph 3:

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (4,20)[/tex]

Substitute these values in: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20 - 0}{4 - 0}[/tex]

[tex]m = \frac{20}{4}[/tex]

[tex]m = 5[/tex]

Graph 4:

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (10,50)[/tex]

Substitute these values in: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{50 - 0}{10 - 0}[/tex]

[tex]m = \frac{50}{10}[/tex]

[tex]m = 5[/tex]

From the calculations above, graph 2 has a different constant of proportionality of 5.5 while others have 5 as their constant of proportionality