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3 years ago

tabitha has 2 1/6 pounds of flour. she will use 2/3 pound of flour to make pancakes.how many pounds of flour will be left?

2 answers:

6 0

1 3/6 pounds would be left.

2/3 pounds = 4/6 pounds (multiply by 2/2, or 1)

[Pounds of flour she has - pounds used to make pancakes = pounds of flour left :

2 1/6 pounds - 4/6 pounds = pounds of flour left]

= 1 3/6 pounds

♧

Reptile [31]3 years ago

4 0

There will be 1 1/2 pounds of flour left

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5^x + 5^x+1= 150<br> Find x<br> Help me pls i need soon<br> Tksss

raketka [301]

Answer:

$x=2$

Step-by-step explanation:

So we have the equation:

$5^x+5^{x+1}=150$

First, separate the second term:

$5^x+(5\cdot5^x)=150$

Let u equal 5ˣ. So:

$u+5u=150$

Combine like terms:

$6u=150$

Divide both sides by 6:

$u=25$

Substitute back u:

$5^x=25$

Take the base 5 logarithm of both sides:

$\log_5(5^x)=\log_5(25)$

The left cancels:

$x=\log_5(25)$

Evaluate the right:

$x=2$

So, our answer is 2.

And we're done!

5 0

3 years ago

Lexie is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide. If the field in Lexie’s drawing is 3

timurjin [86]

Answer:

<em><u>The field in Lexie's drawing should be 20 cm long.</u></em>

Explanation:

Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.

The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:

length of the drawing / width of the drawing = length of the field / width of the field

Thus, using x for the unknown width of the drawing:

30 cm / x = 120 yard / 80 yard

Thus, you must solve for x:

30 cm × 80 yard = 120 yard × x

x = 30 cm × 80 yard / 120 yard = 20 cm.

Hence, the field in Lexie's drawing should be 20 cm long.

4 0

3 years ago

Although companies would like consumers to believe that Identity theft protection is an

stiks02 [169]

The obtained answers for the given frequency distribution are:

(a) The formula for the mean in sigma notation is $\bar x =\frac{1}{n} \sum X_i$ where n is the number of observations; $X_i$ are the n observations.

The mean for the given monthly plan price is $16.1.

(b) The frequency distribution for given data is {$9.99 - 2; $10 - 5; $12 - 1; $12.75 - 2; $14.99 - 6; $20 - 4; $25 - 5}

(c) The formula for the mean using the frequency distribution table is $\bar x = \frac{1}{N}\sum f_ix_i$ where $N =\sum f_i$ and on applying this formula for the given data, the mean is $16.1.

(d) The median for the given data is $m_e = 14.99$ , and the mode for the given data is $14.99

<h3>What are the mean, median, and mode for a frequency distribution?</h3>

The frequency distribution has sample observations $x_i$ and frequencies $f_i$ .

Then, the mean is calculated by

$\bar x = \frac{1}{N}\sum f_ix_i$

Where $N =\sum f_i$ (Sum of frequencies)

The median is calculated by

$m_e=\left \{ {{x_{k}} \ if \ n = 2k+1 \atop {\frac{x_{k}+x_{k+1}}{2}} \ if \ n =2k} \right.$

The mode is calculated by

Mode = highest frequency value

<h3>Calculation:</h3>

The given list of data is

{$14.99, $12.75, $14.99, $14.99, $9.99, $25, $25, $10, $14.99, $10, $20, $10, $20, $14.99, $10, $25, $20, $12, $14.99, $25, $25, $20, $12.75, $10, $9.99}

(a) Formula for the mean using sigma notation and use it to calculate the mean:

The formula for the mean is

$\bar x =\frac{1}{n} \sum X_i$

Where n = 25; $X_i$ - n observations

On substituting,

Mean $\bar x$

=1/25(14.99+12.75+14.99+14.99+9.99+25+25+10+14.99+10+20+10+20+14.99+10+25+20+12+14.99+25+25+20+12.75+10+9.99)

= 1/25(402.42)

= 16.09 ≅ 16.1

(b) Constructing a frequency distribution for the data:

Cost - frequency - cumulative frequency

$9.99 - 2 - 2

$10 - 5 - 7

$12 - 1 - 8

$12.75 - 2 - 10

$14.99 - 6 - 16

$20 - 4 - 20

$25 - 5 - 25

Sum of frequencies N = 25;

(c) Using frequency distribution, calculating the mean:

The formula for finding the mean using frequency distribution is

$\bar x = \frac{1}{N}\sum f_ix_i$

Where N = 25;

On substituting,

$\bar x$ <em> </em>= 1/25 (2 × 9.99 + 5 × 10 + 1 × 12 + 2 × 12.75 + 6 × 14.99 + 4 × 20 + 5 × 25)

= 1/25 (402.42)

= 16.09 ≅ 16.1

Therefore, the mean is the same as the mean obtained in option (a).

(d) Calculating the median and the mode:

Since N = 25(odd) i.e., 2· 12 + 1; k = (12 + 1)th term = 13th term

So, the median $m_e$ = 14.99. (frequency at 13th term)

Since the highest frequency is 6 occurred by the cost is $14.99,

Mode = 14.99

Learn more about frequency distribution here:

brainly.com/question/27820465

#SPJ9

7 0

2 years ago

12c + 12 (3/4c) + 12 (1/2c) shows the total cost for buying 3 phones that each cost c dollars per month for 12 months.

alisha [4.7K]

Answer:

c(12 + 9 + 6)

12(2.25c)

Step-by-step explanation:

12c + 12 (3/4c) + 12 (1/2c)

12(1c) + 12(3/4c) + 12 (1/2c)

12(c + 3/4c + 1/2c)

12(2 1/4c)

12(2.25c)

12c + 12 (3/4c) + 12 (1/2c)

12c + 9c + 6c

c(12 + 9 + 6)

6 0

2 years ago

What is the height of the tree?

Nataly [62]

Answer:

The tree is 16 ft tall

3 0

3 years ago