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3 years ago

6

i'm doing operations with complex numbers and i understand everything until there's a number in front of the parentheses so plea

se help :(

1 answer:

UkoKoshka [18]3 years ago

5 0

It a number is in front of a parentheses that just means you have to multiply everything inside the parentheses by the number in front

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Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloo

Ronch [10]

Well he wants to buy 100 blue balloons so that would cost 100*0.6. The cost of white balloons(because they are half off) are w*0.3. He has a total of 150 dollars to we get 100*0.6+w*0.3=150 or 60+0.3w=150
Thus we get c

5 0

3 years ago

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The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th

kaheart [24]

Answer:

3/10

Step-by-step explanation:

<em>Step 1 : Write the formula of calculating probability</em>

Probability = Number of favourable outcomes/Number of total outcomes

<em>Step 2 : Identify the favourable (requires) outcomes and the total outcomes</em>

Total outcomes are the total cards that are placed on the table = 10 cards
The favourable outcomes are the number of cards that have an even number on them.

12, 14, 18 = 3 cards

<em>Step 3 : Substitute the values in the formula</em>

Probability = Number of favourable outcomes/Number of total outcomes

Probability = 3/10

Therefore, the probability of picking a card with and even number is 3/10.

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7 0

3 years ago

Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3

Kazeer [188]

Answer:

The equation for the standard form of the line will be:

3x + (-4y) = -12

Step-by-step explanation:

Given

x-intercept = –4

y-intercept = 3

The equation of a line in standard form

Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let

(x₁, y₁) = (-4, 0) ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3) ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

= (3 - 0) / (0 - (-4))

= 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

Writing in standard form

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

3x + (-4y) = -12

7 0

3 years ago

A credit reporting agency claims that the mean credit card debt in a town is greater than $3500. A random sample of the credit c

Lera25 [3.4K]

Answer:

Claim is false

Step-by-step explanation:

Claim : A credit reporting agency claims that the mean credit card debt in a town is greater than $3500.

$H_0:\mu \leq 3500\\H_a:\mu = 3500$

n = 20

Since n <30

So we will use t test

Formula : $t =\frac{x-\mu}{\frac{s}{\sqrt{n}}}$

s = standard deviation = 391

x = 3600

n = 20

$t =\frac{3600-3500}{\frac{391}{\sqrt{20}}}$

$t =1.14$

Degree of freedom = n-1 = 20-1 = 19

α=0.10

So, using t table

$t_({\frac{\alpha}{2},d.f.})$ = 1.72

t critical > t calculated

So we accept the null hypothesis

Hence we reject the claim that the mean credit card debt in a town is greater than $3500.

7 0

3 years ago

Can you guys answer this question ASAP, thanks will give brainliest

Mumz [18]

Answer:

An apple costs $2.25. A mango costs $1.25.

Step-by-step explanation:

Let a = price of 1 apple.

Let m = price of 1 mango.

Cameron:

4 apples + 7 mangoes ----> total $17.75

4a + 7m = 17.75

Gavin:

2 apples + 5 mangoes ----> total $10.75

2a + 5m = 10.75

We have a system of 2 equations in 2 unknowns.

4a + 7m = 17.75

2a + 5m = 10.75

We can use the elimination method to eliminate the variable <em>a</em>. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.

4a + 7m = 17.75

(+) -4a - 10m = -21.5

---------------------------------

-3m = -3.75

Divide both sides by -3.

m = 1.25

<em>A mango costs $1.25.</em>

Now we use the first equation and substitute 1.25 for <em>m</em> and solve for <em>a</em>.

4a + 7m = 17.75

4a + 7(1.25) = 17.75

4a + 8.75 = 17.75

4a = 9

a = 2.25

<em>An apple costs $2.25.</em>

Answer: An apple costs $2.25. A mango costs $1.25.

6 0

3 years ago

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