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Debora [2.8K]
2 years ago
7

Which values of a, b, and c represent the answer in simplest form? StartFraction 7 Over 9 EndFraction divided by StartFraction 4

Over 9 EndFraction = a StartFraction b Over c EndFraction a = 1, b = 4, c = 3 a = 1, b = 3, c = 4 a = 1, b = 63, c = 36 a = 1, b = 36, c = 63

Mathematics
2 answers:
Likurg_2 [28]2 years ago
8 0

Answer:

(A) is the correct answer

Step-by-step explanation:

1/6 stays the same but 3/5 canges to 5/3                                                                                                      

Annette [7]2 years ago
4 0

Answer:

Option 2 - a=1, b=3 and c=4

Step-by-step explanation:

Given : Expression  \frac{7}{9}\div\frac{4}{9}=a\frac{b}{c}

To find : Which values of a, b, and c represent the answer in simplest form ?

Solution :

Solving the expression first and then convert into mixed fraction.

\dfrac{7}{9}\div\dfrac{4}{9}=\dfrac{\frac{7}{9}}{\frac{4}{9}}

\dfrac{7}{9}\div\dfrac{4}{9}=\dfrac{7\times 9}{9\times 4}

\dfrac{7}{9}\div\dfrac{4}{9}=\dfrac{7}{4}

Writing \frac{7}{4} into mixed fraction by dividing the number,

\dfrac{7}{9}\div\dfrac{4}{9}=1\dfrac{3}{4}

On comparing, a=1, b=3 and c=4.

Therefore, option 2 is correct.

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Scientists plan to release a space probe that will enter the atmosphere of a gaseous planet. The temperature of the gaseous plan
vladimir1956 [14]

Answer:

its 450 k

Step-by-step explanation:

It is given that the temperature of the gaseous planet is linearly related with height of the atmosphere. we can write this in the mathematical equation:

y = m x +c

where y is the temperature values, x is height, m is the slope and c is the y-intercept. we have been given two sets of value in the image, using which we can find the value of slope in y-intercept.

at x = 18.40 km, y = 147.54 K

⇒147.54 = 18.40 m + c      

⇒c = 147.54 - 18.40 m  ..(1)

at x =78.11 km, y = 567.00 K

⇒567.00 =78.11 m + c       ..(2)

Put equation 1 in 2 and solve:

⇒567.00 =78.11 m + 147.54 - 18.40 m

⇒419.46 = 59.71 m

⇒ m =419.46 ÷59.71 = 7.025 K/km

c = 147.54 - 18.40 × 7.025 = 18.28 K

At height, x = 61.5 km the approximate temperature is :

y = 7.025 K/km ×  61.5 km + 18.28 K = 450.3 K

Thus, the approximate temperature at altitude 61.5 km is 450 K.

7 0
3 years ago
Which equation is an identity?​
kirza4 [7]

Answer:

Option (3).

Step-by-step explanation:

Option (1).

3(x - 1) = x + 2(x + 1) + 1

3x - 3 = x + 2x + 2 + 1

3x - 3 = 3x + 3 [Not True]

Therefore, this equation is not an identity.

Option (2).

x - 4(x + 1) = -3(x + 1) + 1

x - 4x - 4 = -3x - 3 + 1

-3x - 4 = -3x - 2 [Not true]

Therefore, this equation is not an identity.

Option (3).

2x + 3 = \frac{1}{2}(4x + 2) + 2

2x + 3 = 2x + 1 + 2

2x + 3 = 2x + 3 [True]

Therefore, this equation is an identity.

Option (4).

\frac{1}{2}(6x-3)=3(x+1)-x-2

3x - 1.5 = 3x + 3 - x - 2

3x - 1.5 = 2x + 1 [Not true]

Therefore, this equation is not an identity.

6 0
3 years ago
Read 2 more answers
How do you solve 4(8x+5)
alexandr1967 [171]

Answer:

32x+20

Step-by-step explanation:

4*8x+4*5=

32x+20

3 0
2 years ago
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Murljashka [212]
Tell me if you have any questions or you need a step by step explanation

8 0
3 years ago
Which statement is true?
Mumz [18]
The answer is D.

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