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3 years ago

Before a party, Audrey goes to the store with $55. She spends $52.92 on 12 cases of soda.

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

Answer:

A case of soda costs $4.41.

No, she does not have enough for another case because 52.92 + 4.41 is 57.35 and that is over than what she has.

Step-by-step explanation:

52.92 / 12 = 4.41.

Hope this helps & best of luck!

Feel free to message me if you need more help! :)

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Mr. Clark traveled 456.4 km in 14 days.

xeze [42]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

<h3><u>Distance travelled each day is</u> : </h3>

32.6 km

<h3><u>Explanation</u> : </h3>

Distance travelled in 14 days is : 456.4 km

And if he travels same Distance each day, so let the Distance travelled on each day be x

According to question ~

$\qquad \sf \dashrightarrow \: 14 \times x = 456.4$

$\qquad \sf \dashrightarrow \: x = 456.4 \div 14$

$\qquad \sf \dashrightarrow x = \: 32.6 \: \: km$

So, he travels 32.6 km per day

5 0

1 year ago

WILL MARK BRAINLIEST

atroni [7]

Answer:

7.405882353 years

Step-by-step explanation:

Simple interest is

A = P(1+rt)

Where A is the amount in the account

P is the principle invested

r is the rate and

t is the time

6593.75 = 5000( 1+ .0425*t)

Divide each side by 5000

6593.75/5000 = ( 1+ .0425*t)

1.31475 = ( 1+ .0425*t)

Subtract 1 from each side

.31475 = .0425t

Divide each side by.0425

.31475/.0425 = .0425t/.0425

7.405882353 = t

7.405882353 years

8 0

3 years ago

Read 2 more answers

A measurement template with a historcal value of 25.500 is measured 27 times and a mean value of 25.301 is recorded. What is the

QveST [7]

Complete Question

A measurement template with a historical value of 25.500 mm is measured 27 times and a mean value of 25.301 mm is recorded. What is the percent bias when the tolerance is +/- 0.3?

Answer:

The percent bias is $B = 33.167 \%$

Step-by-step explanation:

From the question we are told that

The historical value is $S = 25.00 \ mm$

The number of times it is measured is n = 7

The mean value is $\= x = \frac{\sum x_i }{n} = 25.301 \ mm$

The tolerance is $t =\pm 0.3 = 0.3 - (-0.3) = 0.6$

Generally the percent bias is mathematically represented as

$B = 100 * \frac{\= x - \tau }{ t}$

=> $B = 100 * \frac{25.301 - 25.5000 }{0.6}$

=> $B = 33.167 \%$

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2 years ago

Given: Triangle ABC, mmBC=24 cm, line segment AL- < bisector

Furkat [3]

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

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1 year ago

Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 5x + 2.

Oksanka [162]

Answer:

5x-y=50

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

In this problem

The west edge of the basketball court is located on the line

y = 5x + 2 -----> the slope of this line is m=5

If the east edge cannot intersect with the west edge

then

east edge and west edge must be parallel

The east edge could be

5x-y=50

because

y=5x-50 ----> the slope of this line is m=5

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3 years ago

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