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1 year ago

Match each set of prices with the correct percent of increase or decrease.

1 answer:

7 0

Take the
(original price - new price)/original price
then multiply by 100
If it is a positive number, it is a decrease.
If it is a negative number, it is an increase.

original price: $63.00
new price: $56.07
11% decrease

original price: $12.25
new price: $13.23
8% increase

original price: $98.00
new price: $108.78
11% increase

original price: $37.50
new price: $34.50
8% decrease

You might be interested in

How do you simplify (25/a -a l) / (5+a)

andrey2020 [161]

Simplify the following:

(25/a - a l)/(a + 5)

Put each term in 25/a - a l over the common denominator a: 25/a - a l = 25/a - (a^2 l)/a:

(25/a - (a^2 l)/a)/(a + 5)

25/a - (a^2 l)/a = (25 - a^2 l)/a:

Answer: ((25 - a^2 l)/a)/(a + 5)

7 0

2 years ago

Given right triangle XYZ, what is the value of tan(60°)?

Svetlanka [38]

we know that

Step $1$

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

$XY^{2}=XZ^{2} +ZY^{2} \\ ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units$

$ZY=21\sqrt{3}\ units$

Step $2$

in the right triangle XYZ

Find tan $60$ °

we know that

$tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}$

in this problem

opposite side angle $60$ is ZY

adjacent side angle $60$ is XZ

$tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21} \\ \\ tan\ 60=\sqrt{3}$

therefore

the answer is

$\sqrt{3}$

3 0

1 year ago

Read 2 more answers

Karl and his dad are building a playhouse for karl's younger sister. the floor of the playhouse will be a rectangle that is 6 by

expeople1 [14]

Area of a rectangle:
$l \times w$
Area of playhouse"
$6 \times 8 \frac{1}{2} \\ = 51 {ft}^{2}$

7 0

1 year ago

14 T 1,000 lb. + 2 T 1,000

Olegator [25]

The answer will be 17 tons.

Step-by-step explanation:

Since we have given that

14 T 1,000 lb. + 2 T 1,000 lb.

As we know that

$1\ ton=2000\ lbs\\\\14\ tons=2000\times 14\ lbs\\\\14\ tons=28000\ lbs$

So, 14 T 1,000 lb. is given by

$28000\ lbs+1000\ lbs\\\\=29000\ lbs$

Similarly,

$1\ ton=2000\ lbs\\\\2\Tons=2\times 2000\ lbs\\\\2\ tons=4000\ lbs$

so,

2T 1,000 lb. is given by

$4000+1000\\\\=5000\ lbs$

So, 14 T 1,000 lb. + 2 T 1,000 lbs is given by

$29000+5000\\\\=34000\ lbs\\\\=\frac{34000}{2000}\\\\=17\ tons$

Hence, the answer will be 17 tons.

6 0

2 years ago

Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the

natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.

In order to triangle JKM be a right triangle $KM^{2}=JK^{2}+JM^{2}$ .

We will find length of side KM using our right triangles JLM and JLK as $KM=KL+LM$ .

Using Pythagorean theorem in triangle JLM we will get,

$LM=\sqrt{JM^{2}-JL^{2}}$

$LM=\sqrt{8^{2}-5^{2}}$

$LM=\sqrt{64-25}$

$LM=\sqrt{39}=6.244997998\approx 6.24$

Now let us find length of side KL.

$KL=\sqrt{JK^{2}-JL^{2}}$

$KL=\sqrt{13^{2}-5^{2}}$

$KL=\sqrt{169-25}$

$KL=\sqrt{144}=12$

Now let us find length of KM by adding lengths of KL and LM.

$KM=12+6.24=18.24$

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

$KM^{2}=JK^{2}+JM^{2}$

$18.24^{2}=13^{2}+8^{2}$

$18.24^{2}=169+64$

$18.24^{2}=233$

Upon taking square root of both sides of equation we will get,

$18.24\neq 15.264337522473748$

$18.2\neq 15.3$

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.

6 0

1 year ago

Read 2 more answers