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3 years ago

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A survey in one middle school showed that 4 out of 9 students help cook meals at home. Predict how many out of the 720 students

in the school help cook meals at home.

1 answer:

valentinak56 [21]3 years ago

5 0

Answer:

yes b

Step-by-step explanation:

yes

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2b^2x^2+3a^2y^2=a^2b^2 for b^2

Artemon [7]

Answer:

${b}^{2} = \frac{3 {a}^{2} {y}^{2} }{ {a}^{2} - 2 {x}^{2} }$

Step-by-step explanation:

We want to solve for b² in

$2 {b}^{2} {x}^{2} + 3 {a}^{2} {y}^{2} = {a}^{2} {b}^{2}$

Combine terms containing b²

$3 {a}^{2} {y}^{2} = {a}^{2} {b}^{2} - 2 {b}^{2} {x}^{2}$

Factor b² to get:

$3 {a}^{2} {y}^{2} = ({a}^{2} - 2 {x}^{2}) {b}^{2}$

Divide by a² -2b²

${b}^{2} = \frac{3 {a}^{2} {y}^{2} }{ {a}^{2} - 2 {x}^{2} }$

4 0

3 years ago

I really need help with solving x please

Luba_88 [7]

From the fact that the shape is a square, we know that one of the angles of the triangle in question must by 90 degrees (the lower left angle in this case).

The triangle formed is also an isosceles triangle and therefore the two smaller angles must be equal to each other. (upper left and lower right)

On top of this, we also know that the total of the angles must be 180 due to the fact that all triangles have interior angles that add to 180.

90 + (lower right) + (upper left) = 180

Since lower right and upper left are equal, we can use a single variable to represent them both.

90 + a + a = 180
90 + 2a = 180
2a = 90
a = 45
So, the degree of the lower right angle is 45. We can take this value and set 4x + 17 equal to it.

4x + 17 = 45
4x = 28
x = 7

Therefore, x is equal to 7.

5 0

3 years ago

Perform the indicated operations. Express the result in scientific notation. (5.7 × 105) + (4.6 × 106) – (2.9 × 105)

alex41 [277]

Answer:

1.3905 × 10^4

Step-by-step explanation:

First you should multiply all the two numbers inside the parentheses

5.7 × 105=598.5

4.6 × 106=487.6

2.9 × 105=304.5

Now add the three numbers

598.5+487.5+304.5= 1390.5

scientific notation: Put the decimal after the first digit. To find the exponent count the number of places from the decimal to the end of the number.

the answer in scientific notation: 1.3905 × 10^4

8 0

4 years ago

If the length of a rectangle is 6 more than twice the width and the total perimeter is 84cm, what is the rectangle's length?

tino4ka555 [31]

Step-by-step explanation:

length = 2×width + 6

84 = 2×length + 2×width

now using the first in the second equation :

84 = 2×(2×width + 6) + 2×width = 4×width + 12 + 2×width

84 = 6×width + 12

72 = 6×width

width = 12 cm

length = 2×width + 6 = 2×12 + 6 = 24 + 6 = 30 cm

5 0

2 years ago

If the class contains 11 boys and 14 girls, what is the probability of calling on a girl?

Ronch [10]

Answer: P (girl) = 14 / 25

Concept:

Here, we need to know the idea of probability.

Probability is a measure of the likelihood of an event to occur.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Number of boys = 11

Number of girls = 14

Total number of people = 11 + 14 = 25

P (girl) = Favorable / Total (refer to the attachment)

P (girl) = 14 / 25

Hope this helps!! :)

Please let me know if you have any questions

8 0

3 years ago