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wlad13 [49]
3 years ago
15

What is being distributed in the following problem? 5 - 31d + 7)

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0

Answer:

the -3 is being distributed. --> the 5 stays outside till the end. multiply the 3 inside first, then the negative. and then add the 5 to the final answer            

             5-3(d+21)  = -->> 5-(3d+21)=--->>>5-3d-21=3d-16

Step-by-step explanation:

5-3(d+21) =

5-(3d+21)=

5-3d-21=

ans=3d-16

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1. Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 c
prisoha [69]

Answer:

See explanation

Step-by-step explanation:

Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then

P(\text{Window seat})=\dfrac{492}{806}=\dfrac{246}{403}\\ \\P(\text{Middle seat})=\dfrac{8}{806}=\dfrac{4}{403}\\ \\P(\text{Aisle seat})=\dfrac{306}{806}=\dfrac{153}{403}

a) One randomly selected person preferes aisle seat with probability

\dfrac{153}{403}

b) Two randomly selected people both prefer aisle seat (with replacement) is

\dfrac{306}{806}\cdot \dfrac{306}{806}=\dfrac{153}{403}\cdot \dfrac{153}{403}=\dfrac{23,409}{162,409}

c) Two randomly selected people both prefer aisle seat (without replacement) is

\dfrac{306}{806}\cdot \dfrac{305}{805}=\dfrac{153}{403}\cdot \dfrac{61}{161}=\dfrac{9,333}{64,883}

8 0
3 years ago
Dawson rakes leaves in his neighborhood. The equation y = 10x represents the amount of money he earns. What is the constant of p
Dafna11 [192]

Answer:

idk for sure but id say 10x

Step-by-step explanation:

5 0
3 years ago
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
kap26 [50]

Answer:

4800+183x\geq 8000

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let x be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

\frac{3*6,100}{100} =183

Now we know that she makes $183 per policy sold. Since x is the number of policies sold, 183x is her total commission for selling x policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

4800+183x

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

4800+183x\geq 8000

Let's solve the inequality:

1. Subtract 4800 from both sides

4800-4800+183x\geq 8000-4800

183x\geq 3200

2. Divide both sides by 183

\frac{183x}{183} \geq \frac{3200}{183}

x\geq 17.48

Since she can't sell a fraction of a policy, we must round the result to the next integer:

x\geq 18

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0
3 years ago
On two investments totaling $11,500, Peter lost 3% on one and earned 4% on the other. If his net annual receipts were $⁢201, how
BlackZzzverrR [31]
Total amount of money invested - $11500
X +Y = $11500. ----------(1)
Total yearly interest for thetwo a/c is - $201
-0.03X + 0.04Y = $201
Form (1)
X = 11500 - Y
Substitute for X
-0.03(11500 - Y) + 0.04 Y = $201
-345 + 0.03Y + 0.04Y =201
0.07Y = 546
Y = 7800 at 4 %
Calculate X
X = 11500 - Y
= 11500 - 7800
=3700 at - 3%
Check
-0.03×3700 + 0.04 × 7800 = $201
-111 + 312 = $201
$201 = $201
6 0
3 years ago
Put the following equation in slope-intercept form: 4y=4x+8​
Sloan [31]

Answer:

y = x +2

Step-by-step explanation:

4y=4x+8​

Slope intercept form is

y = mx+b so we need to solve for y

Divide each side by 4

4y/4 = 4x/4 +8/4

y = x +2

The slope is 1 and the y intercept is 2

3 0
3 years ago
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