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3 years ago

6

Translate and solve: eight more than the product of three and a number is -13

1 answer:

Murrr4er [49]3 years ago

6 0

Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7

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Six more than the difference of B and five

aalyn [17]

Answer:

<u>(B-5) + 6</u>

Step-by-step explanation:

The difference between B and 5 means to subtract 5 from B.

Six more than this difference means to add 6 to the difference.

(B-5) + 6

6 0

3 years ago

A show is on Friday, Saturday and Sunday

Gwar [14]

Answer:

270 tickets are sold for the Sunday show.

Step-by-step explanation:

Given:

Two-fifth of the total tickets are sold for the Saturday show.

Tickets sold for the Saturday show = 240

Three times as many tickets are sold for the Sunday show as for the Friday show. This means that tickets sold for Sunday show is three times that for Friday.

Let the tickets sold for Friday show be 'x'. Therefore, tickets sold for the Sunday show is given as 3 times of 'x' = $3x$

Total tickets sold = Sum of all tickets sold on Friday, Saturday and Sunday.

Total tickets sold = $x+3x+240$

Total tickets sold = $4x+240$

Now, as per question, two-fifth of the total tickets are sold for Saturday show and ticket sold on Saturday is 240. So,

$\frac{2}{5}\times(4x+240)=240\\\\8x+480=240\times5\\\\8x=1200-480\\\\8x=720\\\\x=\frac{720}{8}=90$

Therefore, tickets sold for the Sunday show = $3x=3\times90=270$

Hence, 270 tickets are sold for the Sunday show.

6 0

3 years ago

Which equations does the number 7 make true? Select all that apply.

Hunter-Best [27]

Answer:

$\frac{3}{35}$

$\frac{5}{7}$

Step-by-step explanation:

$\frac{3}{35} (7)=\frac{(3)(7)}{35} =\frac{21}{35} =\frac{3}{5}$

$\frac{5}{7} (7)=\frac{(5)(7)}{7} =\frac{35}{7} =5$

Hope this helps

4 0

2 years ago

Tell whether the triangle with the given side lengths is a right triangle

Andreas93 [3]

Answer:

not a right triangle

Step-by-step explanation:

The Pythagorean Theorem states that If a triangle is a right triangle,

the hypotenuse^2 will equal to shorter^2 + longer^2

hypotenuse = 18, shorter side = 4, longer side = 17

18^2 = 4^2 + 17^2

324 = 16 + 289

324 = 305

That is false, therefore the triangle is not a right triangle

6 0

3 years ago

Read 2 more answers

Show that the series is convergent by the alternating series test, and find the number of terms necessary to estimate the sum of

Murljashka [212]

Answer:

6 terms

Step-by-step explanation:

2 − 2/4 + 2/9 − 2/16 + ...

∑ (-1)ⁿ⁺¹ 2 / n²

Applying alternating series test:

lim(n→∞) 2/n² = 0

2/(n+1)² < 2/n², so the series is decreasing.

Therefore, the series converges.

2/(n+1)² < 0.05

(n+1)²/2 > 20

(n+1)² > 40

n+1 > 6.32

n > 5.32

n = 6

7 0

3 years ago