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Rama09 [41]
3 years ago
5

Twelve times a number increased by four is no more than twenty thtee

Mathematics
1 answer:
Paul [167]3 years ago
8 0
We can say the number is letter a.
SO
12a+4<23
12a<19
a<19/12
That's your answer.
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Dennis decided he wanted to go to the carnival. The carnival charges $6.00 for entry and $1.50 for each ride.
myrzilka [38]

We want to create a linear equation to model the given situation.

A) c(r) = $6.00 + $1.50*r

B) 19 rides.

We know that the carnival charges $6.00 for entry plus $1.50 for each ride.

A) With the given information we can see that if you ride for r rides, then the cost equation will be:

c(r) = $6.00 + $1.50*r

Where c(r) is the cost for going to the carnival and doing r rides.

B) If you have $35.00, then we can solve:

c(r) = $35.00 =  $6.00 + $1.50*r

Now we can solve the equation for r.

$35.00 =  $6.00 + $1.50*r

$35.00 -  $6.00 = $1.50*r

$29.00 = $1.50*r

$29.00/$1.50 = r = 19.33

Rounding to the next whole number we get: r = 19

This means that with $35.00, Dennis could go to 19 rides.

If you want to learn more, you can read:

brainly.com/question/13738061

7 0
3 years ago
. Ana tiene el triple de edad que su hijo Jaime. Dentro de 15 años, la edad de Ana será el doble que la de su hijo. ¿Cuántos año
poizon [28]

Answer:

La madre de Jaime tiene 30 años más que él.

Step-by-step explanation:

Llamemos x a la edad actual de Jaime, si la edad actual de Ana es el triple que la de Jaime, entonces la edad actual de Ana es 3x.

Dentro de 15 años, la edad de Jaime será x+15 (edad actual más 15 años) y usando el mismo razonamiento, la edad de Ana será 3x + 15.

Por otro lado el problema nos dice que dentro de 15 años, la edad de Ana (que ya sabemos que será 3x + 15) será igual al doble de la que tendrá su hijo en 15 años. Esto en forma de ecuación se representa:

3x+15=2(x+15) (la edad de Ana será igual que el doble de la de su hijo)

Resolviendo la ecuación:

3x+15= 2(x+15)\\3x+15=2x+30\\3x-2x=30-15\\x=15

Por lo tanto, Jaime tiene 15 años y su madre tiene 3x=3(15)=45 años. Por lo tanto la diferencia de edad es de 30 años y Ana tiene 30 años más que su Jaime.

3 0
3 years ago
1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
3 years ago
PLZ HELP IF UR 100% SURE !!!
WARRIOR [948]
The answer is d ok dine
7 0
3 years ago
Find the value of X round your answer to the nearest tenths
vlabodo [156]

Answer:

x = 17.9

Step-by-step explanation:

tan40^{0} =\frac{15}{x}

x=\frac{15}{tan40^{0} } =17.88

rounded: 17.9

Hope this helps

6 0
2 years ago
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