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Nonamiya [84]
2 years ago
11

Which expression uses the distributive property to represent the sum of 28+42

Mathematics
2 answers:
8090 [49]2 years ago
6 0

Answer:

(2 x 14) + (3 x 14) = 5 x 14 = 70

vova2212 [387]2 years ago
5 0

Answer:

14(2 + 3)

Step-by-step explanation:

28 = 2 x 2 x 7

42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

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A pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return
k0ka [10]

Answer:

20

Step-by-step explanation:

pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind

The speed can be defined as the ratio distance over time, but in this case the pilot is flying at the speed of the plane as well of speed of the wind. We can denote speed of plane as "s" and speed of the wind as "k"

Then the speed of the plane=(s-k) this is because it is moving in the opposite direction of the wind.

But From the question, the plane distance=400mile and the corresponding time =2.5 h

Then the speed of the plane=(s-k) =400mile/2.5

=160mph

By the time it return from trip, the speed the plane flew with is (s+k) because the wind is at the rear.

From the question, the plane distance=400mile and the corresponding time =2 h

Then (s+k)= (400/2)

(s+k)=200mph

8 0
3 years ago
There are a total of 115 first graders, 225 second graders, and 140 third graders, who are going on a field trip. If a bus holds
alina1380 [7]
<span>Total number of students: 115 + 225 + 140 = 480 Number of buses needed: 480 ÷ 80 = b
b = 6</span>
5 0
3 years ago
Read 2 more answers
Suppose that prices of recently sold homes in one neighborhood have a mean of $220,000 with a standard deviation of $7450. Using
GenaCL600 [577]

The minimum percentage of recently sold homes with prices between $197,650 and $242,350 is 88.9%.

<h3>What is Mean ?</h3>

Mean is the ratio of the sum of all the data points to the number of data points.

It is given that

mean of $220,000 with a standard deviation of $7450.

The range is given , let the range is represented by x - --y

It is given that x = 197650 and y = 242350

Let the number of homes sold is k

To determine the value of k

upper level = (y-mean)/standard deviation = (242350-220000)/7450 = 3

lower level = (mean-x)/standard deviation = (220000-197650)/7450 = 3

probability = 1-(1/k²)

k= 3

= 1 - (1/3^2)

= 1 - 1/9

= 0.889 or 88.9%

So, the minimum percentage of recently sold homes with prices between $197,650 and $242,350 is 88.9%.

To know more about Mean

brainly.com/question/521501

#SPJ1

5 0
2 years ago
use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines abo
sukhopar [10]

Answer:

16π square units.

Step-by-step explanation:

Please refer to the graph below.

So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).

By the shell method:

\displaystyle V=2\pi\int_a^bp(x)h(x)\,dx

We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):

\displaystyle V=2\pi\int_0^2(x)((8-x^2)-(x^2))\,dx

Evaluate. Simplify:

\displaystyle V=2\pi \int_0^2(8x-2x^3)\,dx

Hence:

\displaystyle V=2\pi\Big(4x^2-\frac{1}{2}x^4\Big|_{0}^{2}\Big)

Evaluate:

\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}

7 0
3 years ago
Las dos cifras de un número suman 11 . Si las cifras se invierten de orden se invierten de orden , se obtiene otro número que ex
Alik [6]

Answer:

El número es el 47

Step-by-step explanation: Con los dígitos de los siguientes números se obtiene que su suma es 11

47        4  +  7  =  11

38         3  +  8 =  11

29         2   + 9  = 11

Si se cambia el orden de los dígitos:

47       se convierte en    74        74 - 47  =  27

38                  "    "             83        83 - 38 =  45

29                  "    "             92        92 - 29 = 63

Entonces el número solicitado es el 47

5 0
3 years ago
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