9) A grandmother is nine times older than her grandson. If she is also 56 years older than
him, what is the age of her grandson after 6 years?
a) 7 years
b) 9 years
c) 11 years
d) 13 years
​

Answer:

30.8

Step-by-step explanation:

We can mutiply 246 by 0.125 to get the answer.

246 * 0.125 = 30.75 = 30.8

Answer:

30.8 megabytes

Step-by-step explanation:

We know that 12.5% of the 246 megabytes have been downloaded.

Of, means multiply. Therefore, we must multiply 12.5% and 246.

12.5%*246

Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.

12.5/100=0.125

12.5–> 1.25 —> 0.125

0.125*246

Multiply

30.75

We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.

30.8

30.8 megabytes have been downloaded.

Answer: 48 red drops

Step-by-step explanation:

ratio of yellow food drops to red food drops is 8:12

8:12 simplifies to 2:3

2:3 = 2/5:3/5

2x/5 = 32 = # of yellow drops (where x is the total # of drops)

2x/5 = 32

2x = 160

x = 80

Since there are 80 total drops and 32 yellow drops, there must be 48 red drops (80-32=48)

Answer:

13,14

Step-by-step explanation:

t = tutoring

l = landscaping

16t+ 12l ≥240

t+l ≤17

We know that she worked 3 hours landscaping

l =3

t+3≤17

t ≤14

16t+ 12*3 ≥240

16t + 36  ≥240

Subtract 36 from each side

16t ≥204

Divide each side by 16

t ≥204/16

t ≥12.75

We know that

12.75 ≤t≤14

She has to work whole hours

13,14

Answer:

To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.

Answer:

Bottom Right

Step-by-step explanation:

A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.

hi

if you mean   :   1/6 =    ... / 6   it's 3  as 3/6 = 1/2

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]4(x + 2) = 2x + 10[/tex]

Distribute 4(x+2).

[tex]4x+8 = 2x + 10[/tex]

Subtract 2x and 8 from both sides.

[tex]4x-2x=10-8[/tex]

[tex]2x=2[/tex]

Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{2}{2}[/tex]

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

4(x + 2) = 2x + 10

You start by expanding 4(x +2)

i.e. 4x + 8 = 2x + 10

Then, subtract 2x from both sides of the equation

4x + 8 - 2x = 2x + 10 - 2x

4x - 2x + 8 = 2x - 2x + 10

2x + 8 = 10

Subtract 8 from both sides of the equation

i.e. 2x +8 - 8 = 10 - 8

2x = 2

Divide both sides of the equation by the coefficient of x above(which is 2)

[tex]\frac{2x}{2} = \frac{2}{2}[/tex]

x = 1

Hope this helps :))

Answer:

So to get the answer we need to find both of the rays. So first we need to find the end points for the horizontal one. That would be D and E for the horizontal. Those are points, do the same for the diagonal one. AC would be it. AC and DE would be the answer

Answer:

log(x + 1)inverse function y(x) = e^x + 3 - 4

Answer:

Step-by-step explanation:

If the sum of a pair of angles is 90, then they are complementary angles.

25 + 65 = 90

So, 25 and 65 are complementary angles

Answer:

25 and 65

Step-by-step explanation:

complementary angle= either of two angles whose sum is 90°

25 and 65, sum = 90°

31 and 71, sum = 102°

60 and 40, sum = 100°

145 and 35, sum = 180°

The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.

A function is a relation between two sets one is called domain and the other one is range.

Given functions are:

h(x) = 2x

f(x) = 8x² − 3x

g(x) = 19x

p(x) = 5x³ + 3

Here, p(x) = 5x³ + 3 is the only cubic function.

As the degree of the function p(x) is highest among all.

Therefore, this function p(x) grows at the fastest rate for increasing values of x.

Learn more about function here:

https://brainly.com/question/5607159

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Answer:

y=-3.5x+9

Step-by-step explanation:

the slope is determined by the y1-y2/x2-x1 which is equaled to -5-2/4-2 which is equaled to -7/2 which is -3 1/2 which is your m value in y=mx+b and you graph to get your b value (y-intercept) which is 9

Answer:

Step-by-step explanation:

The computer's initial cost is 2500. It decreases by 14% every year. That means the price is multiplied by (100-14)/100=86/100 every year, for x years.

The equation is 2500*(86/100)^3. After three years, it is 2150.

Answer:

4x + 10

Step-by-step explanation:

1/2 x 4x =2x

2x + 2x =4x

1/2 x 4 = 2

2 + 8 = 10 Answer: 4x + 10

Answer:

x = 10.8

y = 11.2

Step-by-step explanation:

AB : AP = AC : AQ

5 :(5+9) = 6 : (6+x)

5: 14 = 6 :(6+x)

5(6+x) = 14*6

30 + 5x = 84

5x = 54

x = 10.8

AB : AP = BC :PQ

5 :14 = 4 : y

5y = 14*4

y = 11.2

Answer:

x = - 4

Step-by-step explanation:

Given

y = [tex]\frac{x-1}{x+4}[/tex]

The denominator of y cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 4 = 0 ⇒ x = - 4

Thus the vertical asymptote is x = - 4

Answer:

60°

Step-by-step explanation:

240° is between the two numbers 180°and 270°, So you're going to want to subtract 180 from 240 Thus, your answer will be 60!

hope you found this helpful :)

The reference angle is 60°. Option B

Since 240° is in the third quadrant

Formula for reference angle in the third quadrant

Reference angle = ∝ - 180°

Reference = 240 - 180

Reference angle = 60°

Thus, the reference angle is 60°. Option B

Learn more about reference angle here:

https://brainly.com/question/16884420

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Answer:

2 and half

Step-by-step explanation:

QUESTION; Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x?

Answer:

Hello dear, your question is not complete (because you did not input the representations) but not to worry the representation can be found in the attached picture.

Thus , option C(third representation) is the correct answer.

Step-by-step explanation:

NB: kindly check attached file/picture for the pictures showing the representation in the question above.

From the question above we are given the following parameters or information or data;

=> RuRodolfo has 15 toys in the toy box and he had two new toys every month.

=> "The representation that best shows te relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x" will be option C because;

2 × 15 = 30. Therefore, RuRodolfo has 30 toys are the end of the month.

Answer:

B

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The ratio of cranberry to blueberry muffins sold was 2/3.

This means that for every 3 blueberry muffins, 2 cranberry muffins were sold.

The ratio of blueberry to cinnamon muffins sold was 4/1.

This means that for every cinnamon muffin, 4 blueberry muffins were sold.

In other words, the ratio of cinnamon muffins to blueberry was 1/4.

60 blueberry muffins were sold on Monday.

This means that the number of cranberry muffins sold was:

2/3 * 60 = 40 cranberry muffins

This also means that the number of cinnamon muffins sold was:

1/4 * 60 = 15 cinnamon muffins

To find how many more cranberry muffins were sold than cinnamon muffins:

40 - 15 = 25 muffins

25 more cranberry muffins were sold.

Answer:

25

Step-by-step explanation:

Answer: For the first one it’s 95 degrees. I don’t know the second one, sorry

Step-by-step explanation:

180-155=25

25+60=85

180-85=95

Answer: (5,7)

Step-by-step explanation:

We want to find the image of a point after a given translation.

The image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

First, we can define how a general translation T(a, b) affects a general point (x, y).

It will add a units to the x-value and b units to the y-value, then we have:

T(a,b)[(x, y)] = (x + a, y + b).

Now we just need to apply the translation:

T(3, -4) to the point (-5, 2)

It gives:

T(3, -4)[(-5, 2)] = (-5 + 3, 2 + (-4)) = (-2, -2)

So the image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

If you want to learn more, you can read:

https://brainly.com/question/16874971

Answer:

B ) x³ -7 x² -49 x +343

 (f .g) (x)  = x³ -7 x² -49 x +343

Step-by-step explanation:

Explanation:-

Given f(x) = 49 - x²  and g(x) = 7-x

  (f .g) (x)  = f(x) .g(x)

  (f .g) (x) = ( 49 - x² ) (7-x)

              = 49 ((7-x))- x²(7-x)

             = 343 -49 x -7 x² + x³

 (f .g) (x)  = x³ -7 x² -49 x +343

Conclusion:-

(f .g) (x)  = x³ -7 x² -49 x +343

Answer

y=45

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6.4 × 3 =19.2

44.4 - 19.2 =2.8y

25.2=2.8y

25.2/2.8=y

y=9

Answer:

1. 40°, 25°

Step-by-step explanation:

The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.

2x + 4 + 4y - 4 = 180

x+ 10 + 5y + 5 = 180

2x + 4y = 180

x +5y + 15 = 180

x + 2y = 90

x + 5y = 165

x = 90 - 2y

x = 165 - 5y

90 - 2y = 165 - 5y

5y - 2y = 165 - 90

3y = 75

y = 25

x = 90- 2y = 90 - 2*25 = 40

x= 40, y = 25

Answer:

LAS LINEAS PARALELAS TIENEN LA MISMA PENDIENTE. ENTONCES ES

-4

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

8x+6=10

8x=10-6

8x=4

x=4/8=0.5

Answer:

[tex]\fbox{\begin{minipage}{8em}Option B: Survey\end{minipage}}[/tex]

Step-by-step explanation:

The data is collected from actual players, from real world, not simulation.

=> Option A-Simulation is incorrect.

The data is all collected subjectively from actual players, and has not been manipulated purposely, like in an experiment, yet.

=> Option C-Experiment is incorrect.

The data is collected subjectively and used directly to generate mock scores without any manipulation.

The data can be considered the results of survey.

=> Option B-Survey is correct

Hope this helps!

:)

Answer: Simulation

Step-by-step explanation:

I took the quiz