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NeTakaya
2 years ago
5

a team of painters is painting all the homes in the neighborhood. so far they have painted 3/4 of a house in 4 days. At what rat

e are they painting?
Mathematics
1 answer:
aliina [53]2 years ago
8 0

Answer:

\frac{3}{16} of a house per day

Step-by-step explanation:

A rate is simply the measure of of one quantity against another quantity.

Here, we are simply to measure the number of houses the team of painters can paint against the number of days they spend painting them.

Simply put, we need to find the number of houses they can paint in a day.

To do this, all we have to do is divide the number of houses painted by the number of days they spent painting them.

They painted 3/4 of a house in 4 days. Therefore, the rate will be:

R = \frac{\frac{3}{4} }{4} \\\\\\R = \frac{3}{4 * 4}

R = \frac{3}{16} of a house per day.

They are painting at a rate of \frac{3}{16} of a house per day.

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Given: AR ⊥ RS , TS ⊥ RS, AT=26, RS=24, AR=12 <br> Find: TS
BabaBlast [244]

Solution -

drawing a perpendicular from AQ to TS, we get a right angle triangle AQT

Using Pythagoras Theorem,

AT² = AQ² + QT²

⇒26² = 24² + QT²                    (∵ Due to symmetry AQ = RS)

⇒QT² = 676-576 = 100

⇒QT = 10

As TS = QT + QS = 12 + 10 = 22  ( ∵ Due to symmetry AR = QS )

∴ TS = 22 (ans)

3 0
2 years ago
Find the value of x<br> .<br><br> 12.5,−10,−7.5,x<br> ; The mean is 11.5<br> .
fomenos
There are four values, including the unknown value x. The sum of the four values is the given value of the mean, 11.5, multiplied by four. Let S be the sum of the four values. Then we can write:
S=11.5\times4=46

46=12.5 + (-10)+(-7.5)+x
x = 46 + 5 = 51
The answer is: The value of x is 51.

4 0
2 years ago
The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
Shkiper50 [21]

9514 1404 393

Answer:

  $5.54

Step-by-step explanation:

 8.8% of $63 is ...

  0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

7 0
2 years ago
Find the volume of a right circular cone that has a height of 12.5 cm and a base with a circumference of 5.8 cm. Round your answ
BaLLatris [955]

Answer:

V = 11.2 cm^3

Step-by-step explanation:

Given

Shape: Right Circular cone

Height, h = 12.5 cm

Base circumference, C = 5.8cm

Required:

Calculate Volume

The volume of a cone is calculated as thus;

Volume, V = \frac{1}{3}\pi r^2h

Where V, r and h represent the volume, the radius and the height of the cone respectively

But first we need to calculate the radius of the cone.

Using formula of circumference.

C = 2\pi r

We have C to be 5.8cm

By substituting this value;

5.8 = 2\pi r

Divide through by 2\pi

\frac{5.8}{2\pi} = \frac{2\pi r}{2\pi}

r = \frac{5.8}{2\pi}

r = \frac{2.9}{\pi}

Now, we can calculate the volume of the cone

By substituting r = \frac{2.9}{\pi} and h = 12.5 cm;

V = \frac{1}{3}\pi r^2h becomes

V = \frac{1}{3}\pi * (\frac{2.9}{\pi})^2 * 12.5

V = \frac{1}{3}\pi * \frac{8.41}{\pi^2} * 12.5

V = \frac{1}{3} * \frac{8.41}{\pi} * 12.5

Take \pi as 3.14

V = \frac{1}{3} * \frac{8.41}{3.14} * 12.5

V = 11.15976

V = 11.2 cm^3 ---- Approximated

Hence, the volume of the cone is; V = 11.2 cm^3

4 0
2 years ago
On a coordinate plane, a curved line crosses the y-axis at (0, 1), crosses the x-axis at (.25, 0), turns at point (2, negative 3
valentina_108 [34]

Answer:

All numbers greater than or equal to -3.

Step-by-step explanation:

Just took the edge test.

8 0
2 years ago
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