A recipe calls for 2 cups of flour to make a cake that feeds 8 people. You are having a party for 60 people and therefore need more flour. You go to the store and find that they only have one kind of flour which is sold in bags of 32 ounces. So how many bags of flour do you need to buy? (note that 1 cup is 8 ounces)

Answers

Answer 1

Answer: 4 bags

Step-by-step explanation:

2 cups  =  16 ounces

So  using a proportion

16 / 8   =  x  /  60          where  x  is the number of ounces we need to buy

cross-multiply

16 * 60   =  8 * x

960   = 8 x

960 / 8   = x  =   120    ounces

The  number of  bags  we  need   =    ceiling  [ 120/32 ]    = 4 bags

hope you accept my friend invitation  


Related Questions

Find the values of x and y. Write your answers in simplest form.

Answers

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.

Answers

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]

Answers

Answer: 5(x-2) + 3 [aka 5x - 7, whichever form your computer accepts these both mean the same]

Steps
Solve for the inverse function of
f(x)=((x-3)/5)+2

First one should replace the variables so
that f(x)=((x-3)/5)+2 becomes:


x=((y-3)/5)+2 (this isn’t necessary, it just makes it easier for those to remember the variable they are looking for when first learning about inverses) —> regardless, we are searching for y.

So doing regular algebra, we get:

x=((y-3)/5)+2
x-2=((y-3)/5)
5(x-2)=y-3
5(x-2)+3=y

Thus, the inverse: f(x)^-1 = 5x-7

Please help me with this i didn’t get the answer

Answers

I think m is 216
Below is pic of my workings

Factorise fully 12x^3-4x^2

Answers

Answer:

4x² (3x - 1)

Step-by-step explanation:

12x³ - 4x²

4x² (3x - 1)

What’s the answer and how do you figure these out?

Answers

Thanks for the points

Please help!

A rectangular tabletop has an area of.......

[tex]t^2+2t-99[/tex]

What are the possible dimensions of the tabletop? Use factoring.

Answers

Answer: t-9 and t+11

The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.

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

Explanation:

Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.

Here are all the ways to multiply to -99 using integers only:

1 and -993 and -339 and -1111 and -933 and -399 and -1

Add up each factor pair to see which sum is equal to 2.

1 + (-99) = -983 + (-33) = -309 + (-11) = -211 + (-9) = 2 is what we want33 + (-3) = 3099 + (-1) = 98

We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.

As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the  two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.

To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.

Find x and y, when AB and MN are similar

Please I need your help quickly

Answers

Answer:

x is 5 but sorry I can't Find the value of y

Answer:

y=3

x=5

Step-by-step explanation:

it's similar so CN =NB          

that means y=3

so MN=AB

x=5

HIYAAAAAAA I 'OPE YOUR ALL WELL THE PROBLEM IS THAT I STUGGLE WITH MATHS...

Answers

Trust me, you're not the only one who's bad at math.  '-'

A survey was conducted to find the possible relationship between gender and the color of the car the person owns. The data is represented in the
frequency table shown.
Blue
Total
Red
53
Male
Female
Total
25
75
Black
72
45
117
30
83
150
150
300
100
What percentage of the people surveyed were females who own a blue car?

Answers

Answer:

25 %

Step-by-step explanation:

The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.

Container A
A cylinder with height 5 inches and diameter 7 inches.

Container B
A cylinder with height 6 inches and radius 3 inches.

Container C
A cylinder with height 12 inches and B = 11.14 inches squared.

Container D
A cylinder with height 10 inches and diameter 6 inches.

container A
container B
container C
container D

Answers

Answer:

only option less than $3 is (C)

Step-by-step explanation:

Volume(cylinder) = πr²h or Bh

I used the guess-and-check method and got the following:

A) 3.85

B) 3.39

C) 2.67

D) 5.65

13. Based on the pattern, what are the next two terms of the sequence?
2, 7, 12, 17,...
A. 85, 425
B. 22, 425
C. 22, 27
D. 27, 32

Answers

Answer:

C. 22, 27

Step-by-step explanation:

Its adding +5

Answer:

The correct Answer is the letter C.

Step-by-step explanation:

The sequence shows adding 5 to the first number and continue to the next answer.

2 + 5 = 7

7 + 5 = 12

12 + 5 = 17

the next two terms are 22 and 27

17 + 5 = 22

22 + 5 = 27

HOPE IT HELPS

(FROM CROSS)

Some steps to rewrite the expression x3 − 16x + x2 − 16 as a product of three factors are shown below:

Step 1: x3 − 16x + x2 − 16
Step 2: x3 + x2 − 16x − 16
Step 3: x2(x + 1) − 16(x + 1)

Which of the following best shows the next two steps to rewrite the expression?

Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)

Answers

Answer:

third one

Step-by-step explanation:

the third one should be the answer

step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)

Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)

ps 16 here is equal to 4^2

Please help!!! Will mark brainliest!

Answers

Answer:

2 x 7 = 5 x 3

Step-by-step explanation:

[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?

Answers

Answer:

the correct answer is 5 snowmen

If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height?

Please answer asap.

Answers

Answer:

15

Step-by-step explanation:

To find the area of an triangle use the formula BH(1/2) in this case

The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15

Tell me if I'm wrong if not

Hope this helped :]

The height of the triangle is 15 centimeters.

Given the following data:

Area of a triangle = 15 cm squaredBase of a triangle = 2 cm

To find the height of the triangle:

Mathematically, the area of a triangle is given by the formula;

[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

Substituting the values into the equation, we have;

[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]

Height = 15 cm

Therefore, the height of the triangle is 15 centimeters.

Find more information: https://brainly.com/question/11037225

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...

Answers

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

∴ The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

∴ The sequence is a geometric sequence

∴ The common ratio is 0.5

Calcule: a) ( - 7 ) . ( + 3 ) . ( - 2 ) * 1 ponto + 42 - 12 - 42 b) - 4 . ( + 3 - 2 + 5 ) * 1 ponto - 12 - 24 + 24

Answers

Answer:

a) 42

b) -24

Step-by-step explanation:

Recordar las reglas de los signos:

(-)*(-) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(+)*(+) = (+)

Tambien la propiedad distributiva:

A*(B + C + D) = A*B + A*C + A*D

Queremos calcular:

a) (-7)*(+3)*(-2)  

Los primeros dos terminos dan:

-(7*3)*(-2) = -(21)*(-2) = (-21)*(-2) = +(21*2) = +42

b) -4*( + 3 - 2 + 5)

= (-4)*(3) + (-4)*(-2) + (-4)*(5)

= - 12 + 8 - 20 = 8 - 32 = -24

A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?

O4
O 20
O 100
O 200​

Answers

Answer:

20

Step-by-step explanation:

2 x 10 = 20

divided by 4 = 5

The larger pool will hold is 100 times more gallons than the smaller pool

What is capacity and measurement?

From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool

From the given information,

Capacity of the larger pool = 2 × 10¹⁰ gallons

Capacity of the smaller pool = 2 × 10⁸ gallons

To determine how many times more gallons the larger pool  holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool

That is,

[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]

= 10²

= 100

Hence, the larger pool will hold is 100 times more gallons than the smaller pool.

Learn more on Capacity here: https://brainly.com/question/7598008

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help me plz I will give 20 point

Answers

Answer:

1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

Then for the point:

(√(7)/4 , 3/4)

x = √(7)/4

y = 3/4

√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1

Then replacing these values in the above equations for the cosine and sine functions, we get:

cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4

sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4

2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).

Let's look at the graph.

We can see that at x = 0, the graph intersects the x-axis and increases

The next point where this happens is at x = π/3

Then the period of this function is:

P = π/3 - 0 = π/3

The period is π/3

What is the surface area of the prism?
1.
5 in.
4 in.
5 in

Answers

Answer:

140

Step-by-step explanation:

PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?

weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm

Answers

Answer:

Week 4, 1400

Brainliest plz

Step-by-step explanation:

Answer:

Week 3 and 900 cm

Step-by-step explanation:

Brainliest Please!

nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey

Answers

Answer:

B. 50 students in her school

Step-by-step explanation:

Every other answer is at a seperate place designed to help someone in a specific field, besides the school.

Find the area of a trapezoid with base 1 is 10 cm, base 2 is 12 and the height is 8

Answers

Answer:

88 sq cm

Step-by-step explanation:

A=(b1+b2) x H divided by 2

A 2-gallon jug of juice costs $10.88. What is the price per cup?

Answers

Answer:

it's ¢.34

Step-by-step explanation:

a gallon has 16 cups

since there are two gallons that's 32

the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34

vertex of the graph of x^2 + 8x + 12=0​

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

A bus is traveling at a constant speed. If the bus travels 15miles in
of an hour, how many miles will the bus travel in one

Answers

Answer:

15 miles

Step-by-step explanation:

If the bus is travelling at a constant speed of 15 miles per hour, then in 1 hour, the bus would have travelled 15 miles.



A random sample of 500 women and 500 men who eamed degrees in science and engineering (S&E) were asked if they work

In an S&E occupation. The results of the survey are shown.

S&E Occupations Non-S&E Occupations Total

Women

76

424

500

Men

169

331

500

Total

245

755

1000

A person from the survey is randomly selected. What is the probability of each event below?

Drag tiles to the empty boxes to create your answers.

• The probability that a randomly selected person works in an S&E occupation is

• The probability that a randomly selected person is a woman and works in an S&E occupation is

• The probability that a randomly selected person is a woman or works in an S&E occupation is

76

245

500

669

745

Answers

Answer:

0.245 ; 0.76 ; 0.669  

Step-by-step explanation:

  Occupations                 S&E      Non S &E       Total {Gender wise}

  Women                           76             424               500

 Men                                 169            331               500

Total {occupation wise}      245            755             1000 [Grand Total]

1) Probability (any person in S & E) = Total people in S & E / Total people = 245 / 1000 = 0.245

2) Prob (woman & works in S & E) , ie P (W ⋂ S) =  Total women in S & E / Total people  =  76 /  100 = 0.76

3) Prob (woman or works in S & E), ie P (W U S) = P( Women) + P (S & E) - Prob (Women & SE), ie P (W) + P (S &E) - P (W ⋂ S) = ( 500 + 245 - 76 ) / 1000 = 669 / 1000 = 0.669

The probability that a randomly selected person works in an S&E occupation is 0.245.

The probability that a randomly selected person is a woman and works in an S&E occupation is 0.12.

The probability that a randomly selected person is a woman or works in an S&E occupation is 0.745

What are the probabilities?

Probability determines the odds that an event would happen.

The probability that a randomly selected person works in an S&E occupation = total number of people that work in SE / total number of people= 245 / 1000 = 0.245.

The probability that a randomly selected person is a woman and works in an S&E occupation = (number of women / total number of people surveyed) x (number of people that work in SE / total number of people surveyed)

500 / 1000 x (245 / 1000) = 0.12

The probability that a randomly selected person is a woman or works in an S&E occupation = (number of women / total number of people surveyed) + (number of people that work in SE / total number of people surveyed)

= 500 / 1000 + (245 / 1000) = 0.745

To learn more about probability, please check: https://brainly.com/question/13234031

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Are the dotted lines in the shape parallel, perpendicular or intersecting?

Answers

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

ASAP PLEASE HELP AND EXPLAIN!!!!!!!!

Answers

the equation for the area of a right triangle is 1/2 x base x height. therefore on the first triangle i would assume 4 and 3 are the base and the height. therefore the hypotenuse would be 5 because a^2 + b^2 = c^2. a and b are the base and the height and c is the hypotenuse. so if you multiply 3 by 4,3 and 5. youre new base and height would be 12 and 9 and the hypotenuse would be 15. if you plug 12 and 9 (the base and the height) into the formula for the area of a right triangle (1/2 x base x height) the area of the new triangle would be 54. hope this helps!!
Whattttt heee saiddd^ hope I helped:(
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