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3 years ago

Simplify 7(-7-6x) using the distributive property

Mathematics

1 answer:

m_a_m_a [10]3 years ago

8 0

You have to distribute the 7 so the final answer will be -49-42x

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Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she want

kogti [31]

595 - 35·x > 420 --> x < 5

8 0

3 years ago

Evaluate the summation of 3 n plus 2, from n equals 1 to 14. 39 49 340 343.

lord [1]

The summation of the considered expression in terms of n from n = 1 to 14 is given by: Option D: 343

<h3>How to find the sum of consecutive integers?</h3>

$1 + 2 + 3 + ... + n = \dfrac{n(n+1)}{2}$

<h3>
What are the properties of summation?</h3>

$\sum_{i=r}^s (a \times f(i) + b) = a \times [\: \sum_{i=r}^s f(i)] + (s-r)b$

where a, b, r, and s are constants, f(i) is function of i, i ranging from r to s (integral assuming).

For the given case, the considered summation can be written symbolically as:

$\sum_{n=1}^{14} (3n + 2)$

It is evaluated as;

$\sum_{n=1}^{14} (3n + 2) = 3 \times [ \: \sum_{n=1}^{14} n ] + \sum_{n=1}^{14} 2\\\\\sum_{n=1}^{14} (3n + 2) = 3 \times \dfrac{(14)(14 + 1)}{2} + (2 + 2 + .. + 2(\text{14 times}))\\\\\sum_{n=1}^{14} (3n + 2) = 3 \times 105 + 28 = 343\\$

Thus, the summation of the considered expression in terms of n from n = 1 to 14 is given by: Option D: 343

Learn more about summation here:

brainly.com/question/14322177

5 0

3 years ago

Which formula is used to calculate the standard deviations of sample data

earnstyle [38]

We know that

<span>the formula used to calculate the standard deviations of sample data is
</span><span>is the one shown in the attached figure
</span>
therefore

the answer is the first option

8 0

4 years ago

Read 2 more answers

Solve 20x + 12 ≥ 14x + 30

Rashid [163]

Subtract 14x from both sides to get

$20x-14x+12 \geq 30$

Subtract 12 from both sides to get

$20x-14x \geq 30-12$

Now we have moved all terms involving x on one side, and all constant terms on the other. We can simplift both sides, i.e. sum like terms, to get

$6x \geq 18$

Now we have to divide both sides by 6. When dealing with inequality you have to be careful about dividing both sides by the same constant: if the constant is negative, the inequality side switches (i.e. $\geq \leftrightarrow \leq$ ). But this is not the case since 6 is positive, so we mantain the inequality sign:

on the other. We can simplift both sides, i.e. sum like terms, to get

$\cfrac{6x}{6} \geq \cfrac{18}{6}$

Evaluate left and right hand side:

$x \geq 3$

4 0

3 years ago

Ryan has a collection of220 baseball cards.helets his bro have 1/4 of his collection & sells 20% of the coll to the baseball

patriot [66]

So he gives 1/4 to his brother 220/4=55 then then he sells the 20% which is 220*.20=44 and then 15 he takes to his friends so if you add those you get 55+44=99+15=114 then subtract this number from the total 220-114=106

7 0

4 years ago