All categories

3 years ago

Mary, who is 4 feet tall, casts a shadow 2 feet long. At the same time, a pole casts a shadow 3 feet long. How tall is the pole?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

6 0

Ok So here is the solution.

You might be interested in

1. Solve: 6x - 12 < 6<br> 2. Solve: 2(3x-8) >8

8090 [49]

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6 equation

step 2

6x - 12 < 6 simplify

6x-12+12<6+12

step 3

6x<18 Divide both sides

$\frac{6x}{6}$

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8 equation

step 2

2(3x-8) >8 simplify

6x-16+16>8+16

step 3

6x>24 divide both sides

$\frac{6x}{6} >\frac{24}{6}$

answer

x>4

4 0

3 years ago

Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.

GarryVolchara [31]

We have been given that Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.9% sales tax, and the city charges a 2.2% sales tax.

We are asked to find the total tax, if Mr Luis sells his home for $122,500.

To find total tax, we will add all tax rates as they are being applied to same base.

$\text{Total of tax rates}=3.5\%+3.9\%+2.2\%$

$\text{Total of tax rates}=9.6\%$

Now we will find 9.6% of $122,500 to find total tax bill.

$\text{Total tax bill}=\$122,500\times \frac{9.6}{100}$

$\text{Total tax bill}=\$1225\times 9.6$

$\text{Total tax bill}=\$11,760$

Therefore, the total tax bill of Mr. Luis would be $\$11,760$ .

5 0

3 years ago

3. At the start of summer, Ben has $250 . He takes a summer

earnstyle [38]

Answer:

Week 4

Step-by-step explanation:

Ben has $250 in the beginning. He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning. He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.

3 0

3 years ago

In the kite, the orange diagonal is 10 units and the purple diagonal is 14 units. What is the area of the kite?

Vlada [557]

Answer: 70 square units

Step-by-step explanation:

Area of kite = (one diagonal * another diagonal) / 2

10 * 14 = 140

140 / 2 = 70

3 0

3 years ago

4. From 5 faculty members, a committee of 2 is to be formed. In how many ways can this be done?

ohaa [14]

Answer:

Step-by-step explanation:

7 0

3 years ago