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Butoxors [25]
3 years ago
7

Ms. Watson's age is 5 years more than 2 1/2 times her son's age. She is 55 years old. How old is her son, in years?

Mathematics
1 answer:
valina [46]3 years ago
4 0

Answer:

20 years old

Step-by-step explanation:

Let us assume that the son's age is x.

Therefore,

2.5x = 55 - 5

2.5x = 50

x  = 20 years old

hope this helps :)

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Y=-4x+6<br> Find an equation for the inverse relation
kherson [118]

Answer:

Step-by-step explanation:

y = -4x + 6.....switch x and y and solve for y

x = -4y + 6 ....subtract 6 from both sides

x - 6 = -4y....divide by -4 on both sides

(x - 6) / -4 = y or y = -1/4x + 3/2 <====

3 0
2 years ago
What is 25/22 as a decimal rounded to the nearest hundredth?
Alex777 [14]
Write 35/22 as a decimal How to convert the fraction 35/22 to a decimal value. Please, input values in this format: a b/c or b/c. 
<span>
Examples: Four tenths should be typed as 4/10. One and three-half should be typed as 1 3/2. For mixed numbers, please leave a space between the the integer and the fraction.

</span><span>Enter a fraction value:
</span>35/22/ Ex.: 1/2, 2 1/2, 5/3, etc. Note that 2 1/2 means two and half = 2 + 1/2 = 2.5/ Your answer 1.5909090909090908

8 0
3 years ago
A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3
finlep [7]
The complete question is 
A colony of  <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts​ (a) and​ (b) below. </span>

<span>a) Assume that the bacteria are distributed uniformly over the​ planet's surface. How deep would the bacterial layer​ be? (You can find the approximate depth by dividing the bacteria volume by the​ planet's surface​ area.) </span>
<span>____m </span>

<span>b) Would the bacteria be​ knee-deep, more than​ knee-deep, or less than​ knee-deep? </span>

<span>A. The bacteria would be less than​ knee-deep. </span>
<span>B. The bacteria would be more than​ knee-deep. </span>
<span>C. The bacteria would be​ knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a) 
Find the approximate depth 
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m 
</span>
the answer Part a) is 
2.4 m

Part b) 
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height. 
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore

the answer part b) is the option
D. It depends on the height of the person
8 0
3 years ago
100 POINTS! I WILL GIVE BRAINLIEST! SHOW ALL WORK PLEASE!
pishuonlain [190]

Answer:

1. 2(3x−2)(2x−3)

2. 3(3x+1)(2x+5)

3. 2(4x+1)(2x−5)

4. 4(2x+1)(2x+7)

5. 5(3x+1)(2x−5)

6. 3(3x−7)(2x+1)

7. 3(5x+3)(3x−2)

8. 2(7x−2)(2x−5)

9. 2(7x−3)(2x−3)

10. 4(5x−11)(2x+1)

11. 5(x−2)(x+12)

12. (x−1)(x−8)

15. x=1 or x=4

Step-by-step explanation:

1. Factor 12x2−26x+12

12x2−26x+12

=2(3x−2)(2x−3)

2. 3(3x+1)(2x+5)

3. Factor 16x2−36x−10

16x2−36x−10

=2(4x+1)(2x−5)

4. Factor 16x2+64x+28

16x2+64x+28

=4(2x+1)(2x+7)

5. Factor 30x2−65x−25

30x2−65x−25

=5(3x+1)(2x−5)

6. Factor 18x2−33x−21

18x2−33x−21

=3(3x−7)(2x+1)

7. Factor 45x2−3x−18

45x2−3x−18

=3(5x+3)(3x−2)

8. Factor 28x2−78x+20

28x2−78x+20

=2(7x−2)(2x−5)

9. Factor 28x2−54x+18

28x2−54x+18

=2(7x−3)(2x−3)

10. Factor 40x2−68x−44

40x2−68x−44

=4(5x−11)(2x+1)

11. Factor 5x2+50x−120

5x2+50x−120

=5(x−2)(x+12)

12. Let's factor x2−9x+8

x2−9x+8

The middle number is -9 and the last number is 8.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -9

Multiply together to get 8

Can you think of the two numbers?

Try -1 and -8:

-1+-8 = -9

-1*-8 = 8

Fill in the blanks in

(x+_)(x+_)

with -1 and -8 to get...

(x-1)(x-8)

15. Let's solve your equation step-by-step.

(x−2)(x−3)=2

Step 1: Simplify both sides of the equation.

x2−5x+6=2

Step 2: Subtract 2 from both sides.

x2−5x+6−2=2−2

x2−5x+4=0

Step 3: Factor left side of equation.

(x−1)(x−4)=0

Step 4: Set factors equal to 0.

x−1=0 or x−4=0

x=1 or x=4

Sorry I wasn't able to do 13 and 14 but hope this helps! :)

8 0
3 years ago
Two parallel lines are crossed by a transversal.
patriot [66]

Answer:

C. m=102

Step-by-step explanation:

We have been given an image of two parallel lines crossed by a transversal. We are asked to find the measure of m.

We can see that angle that measure 78 degrees and angle m are consecutive interior angles.

Since we know that consecutive interior angles are supplementary, so we can set an equation to find the measure of m as:

78^{\circ}+m^{\circ}=180^{\circ}

78^{\circ}-78^{\circ}+m^{\circ}=180^{\circ}-78^{\circ}

m^{\circ}=102^{\circ}

Therefore, the value of m is 102 and option C is the correct choice.

5 0
2 years ago
Read 2 more answers
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