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soldi70 [24.7K]

3 years ago

7

Gus wrote the following riddle: I am a number between 30 and 60. My ones digit is three less than my tens digit. I am a prime nu

mber.
What number does Gus’ riddle describe?

1 answer:

Neporo4naja [7]3 years ago

6 0

Answer: 41

Step-by-step explanation:

You might be interested in

Complete these two different sets of data so that they each have six values and a mean of 21 . 20,20.5,20.5,21.5,21.5, 20,21,21,

jeka57 [31]

Answer:

The complete first set is;

20, 20.5, 20.5, 21.5, 21.5, 22

The complete second set is;

20, 21, 21, 21, 21, 22

Step-by-step explanation:

The mean or the average value of a data set is simply;

(sum of the values in the data set) / ( number of values in the set)

In the first set we are given the following values;

20,20.5,20.5,21.5,21.5

We are required to complete this set so that we have a total of 6 values with a mean of 21.

We let the sixth value be x. Going by the above definition of the mean we have the following equation;

$21=\frac{20+20.5+20.5+21.5+21.5+x}{6}$

We simplify the equation and solve for x;

$21=\frac{104+x}{6}\\126=104+x\\x=126-104\\x=22$

The complete set is thus;

20,20.5,20.5,21.5,21.5,22

In the second set we are given the following values;

20,21,21,21,21

We are also required to complete this set so that we have a total of 6 values with a mean of 21.

We let the sixth value be y. Going by the above definition of the mean we have the following equation;

$21=\frac{20+21+21+21+21+y}{6}$

We simplify the equation and solve for y;

$21=\frac{104+y}{6}\\126=104+y\\y=126-104\\y=22$

The complete set is thus;

20,21,21,21,21,22

8 0

4 years ago

If f(x) = 4x + 15, then f(-3) = ?

WARRIOR [948]

Answer:

$\Huge \boxed{3}$

Step-by-step explanation:

The function is given :

f(x) = 4x + 15

For f(-3), the input for the function f(x) is -3.

Replace the x variable with -3.

f(-3) = 4(-3) + 15

Evaluate.

f(-3) = -12 + 15

f(-3) = 3

The output for f(-3) is 3.

5 0

4 years ago

Read 2 more answers

Help please with this math question please

sashaice [31]

It’s answer is B because you have to find the sequence first

7 0

4 years ago

I have two fair dice, each numbered 1 to 6. I add the two numbers together. What is the probability that I get a total of 5

Lostsunrise [7]

Answer:

Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.

Step-by-step explanation:

For the odds of these two numbers coming up at the same time, you multiply the odds of one times the odds of the other. 5/6 × 1/6 = 5/36. So the odds that you'll roll 2 dice total six are 5/36 each time you roll ( or approximately 1 chance in 7).

5 0

4 years ago

Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep

GaryK [48]

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

$\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y$

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

$1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm$

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

3 0

3 years ago