Find the value of a/b when a = $13.93 and b= 0.07

A cake recipe calls for 550 grams of flour. About how many pounds of flour do you need? Use the conversion factors StartFractio

geniusboy [140]

The question is:

A cake recipe calls for 550 grams of flour. About how many pounds of flour do you need? Use the conversion factors (1 ounce)/(28.4 grams) and (1 pound)/(16 ounces).

Answer:

About 1.2 pounds of flour is needed.

Step-by-step explanation:

Given that the cake recipe calls for 550 grams, we want to determine about how many pounds of flour we need.

This simply means we want to convert 550 grams to pounds.

First, we were given (1 ounce)/(28.4 grams)

This implies that

1/28.4 = x/550 ..............................(1)

Where x is 550 grams in ounce.

Solving (1)

28.4x = 550

=> x = 550/28.4

≈ 19.3662

That is 550 grams is equal to 19.3662 ounce

Next, we are given the ratio (1 pound)/(16 ounce). We then convert 19.3662 ounce to pound

Let y be 19.3662 ounce in pound

=> 1/16 = y/19.3662

16y = 19.3662

y = 19.3662/16

≈ 1.2

That is 19.3662 ounce is equal to 1.2 pounds.

Therefore, 550 grams is equal to 1.2 pounds, and it is the amount of flour needed.

4 0

3 years ago

What is the slope of the line with equation 6x+3y=12?

max2010maxim [7]

Answer:

<h2>The slope m = -2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the equation in the standard form:

$6x+3y=12$

Convert to the slope intercept form:

$6x+3y=12$ <em>subtract 6x from both sides</em>

$3y=-6x+12$ <em>divide both sides by 3</em>

$y=-2x+4$

slope: <em>m = -2</em>

y-intercept: <em>b = 4</em>

6 0

3 years ago

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x

MissTica

Answer:

Step-by-step explanation:

step one:

Let the cost be y

to solve for the cost of a movie ticket, we need to solve the expression

y=2.75+0.10x

step two:

given that x is the number of years between 1980-2000

the number of years is 20years

put x= 20 in the expression for the cost we have

y=2.75+0.10(20)

y=2.7+2

y=$4.7

5 0

3 years ago

The following are score earned by 15 college students on a 20-point math quiz. (a) calculate the mean, median, and mode scores.

Softa [21]

Answer:

(a) 12.87; 14; 18; (b) median

Step-by-step explanation:

(a) Statistics

(i) Mean

The mean is the sum of all the data points divided by the number of points.

$\begin{array}{rcl}\text{Mean} & = & \dfrac{0 + 2 + 3 + 12 + 12 + 13 + 14 + 14 + 15 + 15 + 18 + 18 + 18 + 19 + 20}{15}\\\\& = & \dfrac{193}{15}\\\\& = & \mathbf{12.87}\\\end{array}$

(ii) Median

The median is the middle value in your list of observations.

0, 2, 3, 12, 12, 13, 14, 14, 15, 15, 18, 18, 18, 19, 20

Median = 14

(iii) Mode

The mode is the value that appears most often in your list of observations.

0, 2, 3, 12, 12, 13, 14, 14, 15, 15, 18, 18, 18, 19, 20

Mode = 18

(b) Most representative measure

The mean is dragged down by three low values. The median is the measure that is most representative of the data.

The histogram below shows the distribution of your data.

8 0

3 years ago

Determine whether the number is divisible by 3.give a reason based on the tests for divisibility 72

snow_lady [41]

72 is dividable by 3. It is divisible by 3 because when you add 7 and 2, you get 9. According to the tests for divisibility, if the sum of the digits is divisible by 3, then the whole number is. 9 is divisible by 3, therefore 72 is as well.

5 0

3 years ago