Rectangle NNN has an area of 555 square units. James drew a scaled version of Rectangle NNN and labeled it Rectangle PPP.

Joey and Rita can individually paint a room in 8 hours. It takes Billy 12 hours to paint this same room. If all three work toget

Alex Ar [27]

We know that
<span>Joey and Rita paint a room in 8 hours
so
100%----------> 8 hours
X%----------> 1 hour
x=100/8-----> 12.5%
that means
</span>Joey and Rita paint 12.5% of a room in 1 hour

Billy paint a room in 12 hours
so
100%----------> 12 hours
X %------------> 1 hour
x=100/12----> x=8.33 %
that means
Billy paint 8.33% of a room in 1 hour

i<span>f all three work together
then
All three paint (12.5%+8.33%) in 1 hour

20.83%------------> 1 hour
100%------------> x
x=100/20.83-----> x=4.8 hours

the answer is
4.8 hours</span>

8 0

2 years ago

The triangular prism shown has triangular _____face(s) and lateral face(s).

dmitriy555 [2]

Answer:

The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).

The area of one triangular face is 7.5 mm²

The surface area of the triangular prism is 135 mm²

Step-by-step explanation:

A triangular face of the prism is the face that has a three sided figure while the lateral faces are faces with four-sided figure. As seen from the triangular prism, it has 2 triangular faces since it is made up of 2 right angled triangles and has 3 lateral faces since it is made up of 3 rectangles which are 4 sided each.

Area of one triangular face = $\frac{1}{2} * base * height$

Given base = 2.5 mm and height = 6 mm

Area of one triangular face = $\frac{1}{2} *2.5 * 6\\$

$= 3*2.5\\= 7.5mm^{2}$

Surface area of triangular prism = bh + pH

b= base of the triangle = 2.5 mm

h- height of the triangle = 6 mm

p= perimeter of the triangle = base + height + slant height = 2.5+6+6.5

p = 15 mm

H= height of the prism = 8mm

Surface area of triangular prism = 2.5(6)+15(8)

Surface area of triangular prism = 15 + 120

Surface area of triangular prism = 135mm²

5 0

2 years ago

kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of

Phantasy [73]

Answer:

Kadeem will take 0.166 h more to complete the course.

Step-by-step explanation:

The speed is the rate at which the distance changes, when the speed goes up the distance changes more quickly, therefore if the distance is the same and the speed is higher the one who will take longer is the one that has less speed. In this case the one who will take longer to drive the 25 miles is Kadeem, since he's driving at 50 mph. In order to calculate how much longer we need to calculate the time at which each of them complete the course, this is shown below:

time = distance/speed

For Kadeem:

time = 25/50 = 0.5 h

For Quinn:

time = 25/75 = 0.334 h

The difference between the is 0.5 - 0.334 = 0.166 h.

8 0

2 years ago

An article estimates, with 90% confidence, that the proportion of elementary school teachers who are female is 82%. The article

GREYUIT [131]

Answer: (80% , 85%)

Step-by-step explanation:

We know that, confidence interval for population proportion is given by :-

(p-E , p+E)

, where p = sample proportion , E = Margin of error.

Given : Proportion of elementary school teachers who are female = 82%.

The article also states the maximum error of their estimate = 3%.

Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :

(82%-2% , 82%+3%)

= (80% , 85%)

Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)

5 0

2 years ago

During winter months freshwater fish sense the water getting colder,finding lakes and rivers to find warmer water.If a fish swim

atroni [7]

I believe this would be 28 feet. You find this by dividing 7/8 to get the decimal of the fraction. (Which is 0.875) Then multiply by 32 ft to get the answer. Hope this helps!

7 0

2 years ago

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