At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Answer:

80

Step-by-step explanation:

Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80

b/c the 2 lines are equal

Answer:

A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations. To solve such a system, you need to find the variable values that will make each inequality true at the same time.

Step-by-step explanation:

Hope this helps. :D

Answer:

D.)

2/3 1/6 1/7

Step-by-step explanation:

Given the fractions :

A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7

We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.

A.)

L. C. M of 14, 42 and 6 = 42

42 * 3 = 126 ( not true)

B.)

L. C. M of 84, 16, 42 = 336

Can't be true

C.)

L. C. M of 21, 4, 3 = 84

84 * 2 = 168 (not true)

D.)

L.C.M of 3, 6, 7 = 42

Answer:

d

Step-by-step explanation:

Answer:

its 5/6

Step-by-step explanation:

we just group things around and we have this

36 m^2 - 60 m = -25

Alternate forms:

12 m (3 m - 5) = -25

36 m^2 - 60 m + 25 = 0

Solution:

m = 5/6

Answer:

$4.16

Step-by-step explanation:

8% of $52 is 4.16.

In total the item would cost $56.16.

All you do is 52 x .08 = 4.16

Make sure to divide the percentage (8/100=.08) before multiplying.

Answer:

a) 0

Step-by-step explanation:

the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)

we are given the points (3,-2) and (9,-2)

we can label the points:

x1=3

y1=-2

x2=9

y2=-2

now substitute into the equation:

m=(-2--2)/(9-3)

simplify

m=(-2+2)/6

m=0/6

m=0

the slope of the line is 0, which is option a

Hope this helps!

Answer:

C. 48°

Step-by-step explanation:

Answer:

28¢

Step-by-step explanation:

A quarter is 25¢, so 53¢ - 25¢ = 28¢.

Answer: 3:8

Step-by-step explanation:

Number of rainy days = 42

Number of sunny days = 112

To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:

= Number of rainy days / Number of sunny days

= 42 / 112

= 3/8

Therefore, the ratio of rainy days to sunny days will be 3:8

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

Given:

The equation is:

[tex](2x+1)(x-2)=0[/tex]

To find:

The values of a, b and b from the standard form.

Solution:

The standard form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]            ....(i)

We have,

[tex](2x+1)(x-2)=0[/tex]

In can be rewritten as

[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]

[tex]2x^2-4x+x-2=0[/tex]

[tex]2x^2-3x-2=0[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]a=2,b=-3,c=-2[/tex]

Therefore, the correct option is C.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Answer: 53 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.

Answer:

360 tons

Step-by-step explanation:

Coke burned : cast iron = 15 : 16

The smelter produces 384 tons of cast iron a day

Let x = tons of coke burned

Coke burned : cast iron = x : 384

Equate both ratios

15 : 16 = x : 384

15/16 = x/384

Cross product

15 * 384 = 16 * x

5,760 = 16x

x = 5,760/16

x = 360

x = tons of coke burned = 360 tons

Answer:

5 times the sum of 3 and 4, then subtract 4

Answer:

5  times the sum of 3 and 4, then subtract 4

Step-by-step explanation:

Hope this helps

Answer:

65.38degrees

Step-by-step explanation:

Given the following

Length of ladder = 12foot = hypotenuse

Distance of the ladder from the wall = 5ft = adjacent

Required

Angle between the ground and the ladder theta

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos theta = 5/12

Cos theta = 0.41667

theta = arccos(0.41667)

theta = 65.38 degrees

Hence the angle between the ground and the floor is 65.38degrees

No solution

because delta ( b^2 - 4ac ) is lower than 0(zero) .

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

Answer:

Well, I mean, that's a vague question. there are a ton of numbers where you can subtract a second number and have it equal eight. 15 - 7 = 8

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

9x + 72

Step-by-step explanation:

Answer:

9x + 8

Step-by-step explanation:

Hope this helps have a nice day :)

*You don't have to read this part*

Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.

Answer: 4 + 2w

Step-by-step explanation:

The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:

h = 4 + 2(w)

h = 4 + 2w

For example, the height of the tomato plant in inches after 5 weeks will be:

h = 4 + 2w

h = 4 + 2(5)

h = 4 + 10

h = 14 inches

Answer:

the answer is 7x^2-12x square root of 14 +72 (option 2)

Step-by-step explanation:

Answer:

X can equal 22.5

Step-by-step explanation:

I've set up the equation below:

[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]

With this equation, as any addition equation goes, we assume it to be like this:

A +  B = C

so

C - A = B

that means,

[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]

The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...

[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]

So...

[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]

We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:

[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]

So, x is 22.5, making the equation indeed solvable.

Have a nice day, fam. This problem really worked my brain! Spread The Love.

Answer:

Two solutions: X = -5 and X = -0.5

Step-by-step explanation:

4x^2 + 22x + 10 = 0 // divide by 2

2x^2 + 11x + 5 = 0

delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81

sqrt(delta) = 9

x1 = (-11 - 9) / 4 = -5

x2 = (-11 + 9) / 4 = -0.5

Answer:

The correct solution is "n = 16".

Step-by-step explanation:

The given equation is:

⇒  [tex]\frac{1}{2} n-3=5[/tex]

On adding "3" both sides, we get

⇒  [tex]\frac{1}{2} n-3+3=5+3[/tex]

⇒  [tex]\frac{1}{2}n=8[/tex]

On applying cross multiplication, we get

⇒  [tex]n=8\times 2[/tex]

⇒  [tex]n=16[/tex]

Answer:

1/49

Step-by-step explanation:

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