A recipe for cookies called for 2/3 of a cup of sugar per batch.Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?

Answer:

[tex](a)[/tex]  [tex]P(M\ or\ P\ or\ C) = 1.307[/tex]

(b) See Explanation

Step-by-step explanation:

Given

[tex]P = 312[/tex] ---- Professionals,

[tex]M = 470[/tex] ----- Married persons,

[tex]C = 525[/tex] ---- College graduates,

[tex]PCG = 42[/tex]  ----- Professional college graduates,

[tex]MCG = 147[/tex] ----- Married college graduates,

[tex]MP = 86[/tex]  ---- Married professionals,

[tex]MPCG = 25[/tex] ---- Married professional college graduates

[tex]Total =1000[/tex]

Solving (a): P(M or P or C)

This is calculated as:

[tex]P(M\ or\ P\ or\ C) = P(M) + P(P) + P(C)[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{n(M) + n(P) + n(C)}{Total}[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{470 + 525 + 312}{1000}[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{1307}{1000}[/tex]

[tex]P(M\ or\ P\ or\ C) = 1.307[/tex]

(b) In probabilities, the probability of an event or collection of events must not exceed 1 and must not go below 0.

In (a) above, the calculated probability exceeds 1.

Because of this single reason, the collected data is incorrect

Answer:

NOT found in obtuse triangles

Step-by-step explanation:

you only talk about hypotenuse, adjacent, and opposite in right triangle

Answer:

Step-by-step explanation:

h(x) = -4(x-2)(x+2)

The zeros are 2 and -2.

Answer:

90

Step-by-step explanation:

OA. f(x) = -4(x2 - 4)

OB. h() = -4(x - 2)(x + 2)

Och(x) = -47 +16

OD. H(x) = -2(2x - 3)

Answer:

9.8  miles

Step-by-step explanation:

14/5= 2.8mph

2.8*3.5= 9.8 miles in 3.5 hours

Answer:

Step-by-step explanation:

sin(14.629°) = cos(90°-14.629°) = cos(75.371°)

Answer:

It landed at a height of 14 feet

Step-by-step explanation:

Given

[tex]y = -\frac{1}{8}x^2 +4x[/tex] --- Path of a t-shirt

[tex]3y = 2x - 14[/tex] --- height of bleachers

Required

Height when t-shirts land in bleachers

[tex]3y = 2x - 14[/tex]

Make y the subject

[tex]y = \frac{2}{3}x - \frac{14}{3}[/tex]

Substitute [tex]y = \frac{2}{3}x - \frac{14}{3}[/tex] in  [tex]y = -\frac{1}{8}x^2 +4x[/tex]

[tex]\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x[/tex]

Multiply through by 24

[tex]16x- 112 = -3x^2 +96x[/tex]

Express as:

[tex]3x^2 + 16x -96x- 112 = 0[/tex]

[tex]3x^2 -80x- 112 = 0[/tex]

Using a calculator:

[tex]x = 28[/tex] or [tex]x = -\frac{4}{3}[/tex]

x can not be negative:

So:

[tex]x = 28[/tex]

Substitute [tex]x = 28[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex] to calculate the height it landed

[tex]y = -\frac{1}{8} * 28^2 + 4 * 28[/tex]

[tex]y = 14[/tex]

Answer: A=450

Step-by-step explanation:

Answer:

Graph 4

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

o = atan ( 7/8 ) = 41.18

cos ( 41.18 ) = 0.75

Answer:

Step-by-step explanation:

Hh

Answer:

no.

Step-by-step explanation:

Answer:

I don't believe there is any laws specifically saying that its illegal, but its probably not advised.

Answer:

3/10

Step-by-step explanation:

............iam not sure

The required ratio of the unshaded square to the shaded square is 7 : 3.

Given that,
To determine the ratio of the number of unshaded squares to the number of shaded squares.​

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Number of shaded squares = 3
number of unshaded squares = 7
Required ratio = 7 / 3 = 7 : 3

Thus, the required ratio of the unshaded square to the shaded square is 7 : 3.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

Answer:

D. x^2 +14x + 40

Step-by-step explanation:

(x+4)(x+10)

x^2+10x+4x+40

x^2+14x+40

Answer:

d) x^2+14x+40

Step-by-step explanation:

You gotta multiply (x + 4)(x + 10)

Answer:  294

7x7=49

49x6=294

Answer:

$883.14

Step-by-step explanation:

Have a great day! ;)

Answer:

813.95*%8.5=69.19

69.19+813.95=883.14

883.14

Answer:

1.70

8.40

130.200

7.120

6.60

142.30

Step-by-step explanation:

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

Decimal is a point which denotes integer and non-integer numbers (mah own answer)

Answer:

26 mm

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

you use the Pythagorean theorem so it look like: 10^2 + 24^2 = c^2

then u solve with algebra

Answer:

[tex]D = 7\sqrt 2[/tex]

Step-by-step explanation:

Given

[tex]A = (-3,-4)[/tex]

[tex]B = (4,3)[/tex]

Required

The distance between them

This is calculated as:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

So, we have:

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

[tex]D = \sqrt{7^2+7^2}[/tex]

[tex]D = \sqrt{2(7^2)}[/tex]

[tex]D = 7\sqrt 2[/tex]

Answer:

The goal is $19,800.

Step-by-step explanation:

$16,770 is $1,230 less than %90 of the goal. If you add 16,770 and 1,230, you get 18,000. Then you have to multiply that by 1.10 to get it to the goal. That is how you get $19,800, which is the answer.

i might have read this problem wrong since i didnt get a clear understanding because of the wording of this problem but i will do the best i can!

step-by-step explanation:

first step is to make a table! and ill just make one on here so you can get a better understanding on this problem :)

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

| boxes sold (b) | money collected (m) |

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

|    1    |          1.50           |

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

|    2    |          3           |

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

|    3    |          4.50            |

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

|    4    |          6           |

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

|   5    |          7.50           |

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

|   6    |          9           |

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

|   7    |          10.50           |

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

|   8    |          12           |

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

(b * 1.50) = m

the independent variable = boxes sold (b)

the dependent variable = money collected (m)

hope this helps you and please tell me if i did something wrong or if you need extra help understanding this problem! :)

Answer:

square

Step-by-step explanation:

it is a square because all the shapes/parts are the same size

it also has 6 faces, 12 vertices

Answer:

21 + 3r

Step-by-step explanation:

(7 + r) 3 =

(7) x 3 + (r x 3) =

21 + 3r

Hope that helps!

Answer:

15 cm

Step-by-step explanation:

Base x height / 2 = Area(of a triangle) =

3 x 10 / 2 =

15 cm

The solution is :  the area of the following triangle is, 15 cm².

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Here, we have,

given that,

4.2 cm

3 cm

10 cm

We know that,

area = bh/2

i.e. we get,

Base x height / 2

= Area(of a triangle)

substituting the values, we get,

= 3 x 10 / 2

= 15 cm²

Hence, The solution is :  the area of the following triangle is, 15 cm².

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

Answer:

2/5

Step-by-step explanation:

After solving the given equation, we get the value of x is

"An equation is a statement of equality between two expressions consisting of variables and/or numbers."

Solve the given equation, to find the value of x

[tex]\frac{2x}{3}-1 =4\\\frac{2x-3}{3}=4\\ 2x-3=12\\2x=15\\x=\frac{15}{2}\\ x=7.5[/tex]

Hence, the value of x is 7.5

To learn more about equation here

https://brainly.com/question/27661633

#SPJ2

Questions:

a. The jet ski is for two persons and has turbo packs.

b. The jet ski is not for two persons but has turbo packs.

Answer:

[tex]P(P\ and\ T) = \frac{10}{29}[/tex]

[tex]P(P\ and\ T') = \frac{270}{841}[/tex]

Step-by-step explanation:

Given

[tex]n=29[/tex] --- Total

[tex]T = 14[/tex] --- Two person skis

[tex]P = 18[/tex] --- Turbo packs skis

[tex]P\ and\ T = 10[/tex] --- Two person ski and Turbo packs

Solving (a):

This is represented as: [tex]P(P\ and\ T)[/tex]

This is calculated as:

[tex]P(P\ and\ T) = \frac{n(P\ and\ T)}{n}[/tex]

[tex]P(P\ and\ T) = \frac{10}{29}[/tex]

Solving (a):

This is represented as: [tex]P(P\ and\ T')[/tex]

This is calculated as:

[tex]P(P\ and\ T') = P(P)\ and\ P(T')[/tex]

[tex]P(P\ and\ T') = P(P)\ *\ P(T')[/tex]

Using the complement rule, we have:

[tex]P(T') = 1 - P(T)[/tex]

The equation becomes:

[tex]P(P\ and\ T') = P(P)\ *\ [1 - P(T)][/tex]

[tex]P(P\ and\ T') = \frac{n(P)}{n}\ *\ [1 - \frac{n(T)}{n}][/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ [1 - \frac{14}{29}][/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ \frac{29-14}{29}[/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ \frac{15}{29}[/tex]

[tex]P(P\ and\ T') = \frac{18*15}{29*29}[/tex]

[tex]P(P\ and\ T') = \frac{270}{841}[/tex]

Answer:

141.73g

Step-by-step explanation:

9x+6-4x=4x+7

5x+6=4x+7

   -6       -6

5x=4x+1

-4x -4x

x=1

---

hope it helps

Answer:

7/8 x 8 = 56/8 as simplified as 7/1 in fraction form.

Step-by-step explanation:

Hope it helps :)

Answer:

6 6/8

2 5/8

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

2.57142857143

or 2 57/100

Step-by-step explanation:

sorry if this is wrong

Answer:

there hope this helps I tried