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3 years ago

5

Denise bought a T-shirt at the sale price of $21.08. This represents a 15% decrease in price. What was the original price of the

shirt?

1 answer:

Rina8888 [55]3 years ago

4 0

Answer:

100% - 15 % = 85 %

So, $21.08 represents the 85% sale price

What number represents the other 15% of the original price?

(21.08 x 15) / 85 = 3. 72

$21.08 + $3.72 = $24.80 which is the original price.

Step-by-step explanation:

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Write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.

wariber [46]

Answer:

Step-by-step explanation:

<h3>Convert kilometer to miles:</h3>

1 km = 0.62 mi

So, to convert 6 km to mi, multiply 6 by 0.62.

6km = 6* 0.62

= 3.72 mi

<h3>Convert liter to gallon:</h3>

1 L = 0.26 gal

To convert 2.5 L to gallon, multiply 2.5 by 0.26.

2.5 L = 2.5 * 0.26

= 0.65 gal

<h3>Convert pound to kilogram:</h3>

1 lb = 0.45 Kg

To convert 90 lb to Kg, multiply 90 by 0.45.

90 lb = 90 *0.45

= 40.5 Kg

3 0

2 years ago

Find Sn for the given arithmetic series a1=-26 d=-9 n=24

ryzh [129]

Answer:

- 3108

Step-by-step explanation:

The sum to n terms of an arithmetic series is

$S_{n}$ = $\frac{n}{2}$ [ 2 $a_{1}$ + (n - 1)d ]

Substitute the given values into the formula

$S_{24}$ = $\frac{24}{2}$ [ (2 × - 26) + (23 × - 9) ]

= 12 ( - 52 - 207 )

= 12 × - 259 = - 3108

5 0

3 years ago

A software company decided to conduct a survey on customer satisfaction. Out of 564 customers who participated in the online sur

nikklg [1K]

Answer:

$z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8$

$p_v =2*P(z$

Step-by-step explanation:

Information given

n=564 represent the sample selected

X=51 represent the number of people who rated the overall services as poor

$\hat p=\frac{51}{564}=0.0904$ estimated proportion of people who rated the overall services as poor

$p_o=0.1$ is the value to compare

z would represent the statistic

Hypothsis to analyze

We want to analyze if the proportion of customers who would rate the overall car rental services as poor is 0.1, so then the system of hypothesis are:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

The statistic for a one z test for a proportion is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8$

And the p value since we have a bilateral test is given b:

$p_v =2*P(z$

3 0

3 years ago

A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

Finger [1]

Answer:

<em>Fencing required = 1586 m</em>

Step-by-step explanation:

The given statements can be thought of a triangle $\triangle ABC$ as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

$\angle A =49^\circ$

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use <em>Cosine Rule </em>to find the third side.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m$

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = <em>1586 m</em>

<em></em>

<em>Fencing required = 1586 m</em>

4 0

3 years ago

The perimeter of a kite is 52 meters. If one side measures 19 meters find the measure of the opposite side.

Setler [38]

For any kite, we have two pairs of congruent adjacent sides. In general, the kite would have sides of x, x, y , y. In this case, x = 19 is known while y is unknown.

The four sides add up to 52, so

x+x+y+y = perimeter

19+19+y+y = 52

38+2y = 52

2y+38-38 = 52-38 .... subtract 38 from both sides

2y = 14

2y/2 = 14/2 ... divide both sides by 2

y = 7

Therefore the opposite side of the 19 meter side is 7 meters

<h3>Answer: B) 7 meters</h3>

3 0

3 years ago

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