4. Leroy creates customized engraved

birthday cards for his schoolmates.

He charges them $0.75 per card, plus a

dollar for each engraved letter in

the recipient's name. The equation

C=0.75 + l describes the cost of a card

in dollars, c, that has a certain number of

letters in the name, l.

Number of Letters

in Name

Cost of Card

(dollars)

3.75

5.75

6.75

8.75

If you have $10.75 to spend on a card,

how many letters can be in the recipient's

name?

Answer

=6a3+7a2+a−1

Step-by-step explanation:

Let's simplify step-by-step.

−3a2+4a−5+6a3−3a+4+10a2

=−3a2+4a+−5+6a3+−3a+4+10a2

Combine Like Terms:

=−3a2+4a+−5+6a3+−3a+4+10a2

=(6a3)+(−3a2+10a2)+(4a+−3a)+(−5+4)

=6a3+7a2+a+−1

Answer:

%68.04

Step-by-step explanation:

Answer:

Step-by-step explanation:

The second picture has:

The pattern is:

Correct option is A

Answer:

The equation is 8n-4 and 972 is the 122nd term of the sequence

Step-by-step explanation

12-4=8

12-8=4

8n+4

972+4=976

976/8=122

Answer will be : b

hope this help's

Answer:

x = 9

Step-by-step explanation:

Answer:

(1,-4)

Step-by-step explanation:

the solution is

(1, -4)

Answer:

88/407

Step-by-step explanation:

The required, based on the data given, the expected probability of drawing a 3 is approximately 0.216 or 21.6%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

To find the expected probability of drawing a 3, we need to calculate the total number of times any number was drawn and the number of times a 3 was drawn:

Total number of times any number was drawn = 83 + 79 + 88 + 72 + 85 = 407

The number of times a 3 was drawn = 88

The probability of drawing a 3 is then the number of times a 3 was drawn divided by the total number of times any number was drawn:

Probability of drawing a 3 = 88/407 ≈ 0.216

Therefore, based on the data given, the expected probability of drawing a 3 is approximately 0.216 or 21.6%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ3

Answer:

D

Step-by-step explanation:

Solving the inequality

- 3x + 5 > 4 ( subtract 5 from both sides )

- 3x > - 1

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative value.

x < [tex]\frac{1}{3}[/tex]

The only value not less than [tex]\frac{1}{3}[/tex] is 4 → D

Answer:

No

Step-by-step explanation:

No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.

Answer:

3:7

Step-by-step explanation:

The number of rabbits is 12 while the total number of animals

7 + 12 + 6 + 3 = 28

So the ratio of rabbits to animals is 12:28 = 3:7

Answer:

x = -2

Step-by-step explanation:

Isolate the variable (or x) by subtracting 25 from both sides.

We do this and get 7x = -14

Divide both sides by 7 and we get x = -2

The answer is D. 2 over 5

Step-by-step explanation:

Took the test.

Answer:

It will be the 26th divided by 7

Answer: None

Step-by-step explanation:

You have to either solve for x or y by getting x/y in both equations the same value to cancel them out. In my steps I will solve for x:

-20x - 16y = -20

10x + 8y = 10

----------

1.) Multiply 10x + 8y = 10 by 2

-20x - 16y = -20

20x + 16y = 20

2.) Cancel out values

All parts cancel out.

Answer: No solution

Answer:

Distributive Property

Step-by-step explanation:

4*(5+3) basically equals 4*5 + 4*3 which is 20 + 12 which is 32.

Answer:

distributive

Step-by-step explanation:

i took this test

Answer:

Slope=10 Y=15

Step-by-step explanation:

Goes up by 10

Starts at 0,15

The slope of an equation is 10 and the y-intercept is 15. Therefore, option B is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, the equation y= 10x + 15 represents a gym that charges.

By comparing y=10x+15 with y=mx+c, we get

Slope (m)=10 and y-intercept (c)=15

Therefore, option B is the correct answer.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ6

Answer:

It would be the last one square root of 6 over 4

Step-by-step explanation:

Here goes the answer. Hope it helps.

Measure of largest angle in a triangle is equals to 104 degrees.

" Triangle is a 2 dimensional geometrical figure which has three sides and three vertices. Sum of all the angles of triangle is equals to 180°."

According to the question,

x represents the measure of first angle

y represents the measure of second angle

z represents the measure of third angle

Situation 1: First angle is 24 degree more than second angle , it represents the equation:

x = 24 + y               ____(1)

Situation 2: Third angle is four times the measure of second angle, it represents the equation:

z = 4y                       ___(2)

Situation 3: Total number of degree in a triangle is 180, it represents the equation :

x + y + z = 180°           ____(3)

Substitute the value of (1) and (2) in (3) we get,

24 + y + y + 4y = 180°

⇒ 6y + 24 = 180°

⇒ 6y = 180 - 24

⇒ 6y = 156

⇒ y = 26degrees

Therefore,

x = 24 + 26

  = 50 degrees

z = 4 × 26

  = 104 degrees

Hence, measure of largest angle in a triangle is equals to 104 degrees.

Learn more about triangles here

https://brainly.com/question/21972776

#SPJ2

Answer:

Step-by-step explanation:

Given expression:

This is undefined when the denominator is zero:

Correct choice is B

Answer:

[tex] \sf \: \dfrac{(x - 5)(x + 2)}{x + 1} [/tex]

Now,

Taking denominator as 0

x + 1 = 0

x = 0 - 1

x = -1

Answer:

infinitely many solutions

Step-by-step explanation:

The equation 5(x - 3) = 10x - 15 has one solution, which is x = 0.

Let's simplify the given equation:

5(x - 3) = 10x - 15

Distribute the 5 on the left side:

5x - 15 = 10x - 15

Now, let's isolate the variables on one side by subtracting 5x from both sides:

-15 = 5x - 15

Next, add 15 to both sides:

0 = 5x

Divide both sides by 5:

0/5 = 5x/5

0 = x

Therefore, the equation simplifies to 0 = x. This means that x is equal to 0.

So, the equation 5(x - 3) = 10x - 15 has one solution, which is x = 0.

Learn more about equation click;

https://brainly.com/question/29657983

#SPJ6

Answer: 1020p

Step-by-step explanation:

The total cost of the bells will be:

= 12p × 30 = 360p

She sells 3/5 of the bells for 50p each. This will be:

= (3/5 × 30) × 50

= 18 × 50p

= 900p

She sells the remaining 2/5 for 40p each. This will be:

= (2/5 × 30) × 40

= 12 × 40

= 480p

Then, total revenue will be:

= 900p + 480p

= 1380p

Profit = Revenue - Cost

= 1380p - 360p

= 1020p

Answer:

Step-by-step explanation:

The domain is basically the highest x and the lowest x.

[-3, ∞)

The range is the highest and lowest y.

[-4.649, ∞)

Local maximum is the highest part of the specific part of the graph.

(-1.423, 3.389)

And the local minimum is basically the same thing but with the lowest part.

(1.757, -4.649)

do 20 x 3.14 and then youll have your anwser...id use a calculator btw

Then round it to the nearest whole number and BOOM anwser!!

i got 62.8 so round that and youll have ur anwser

Answer:

A'C'=AC=3

Step-by-step explanation:

Answer:

C: 3 units

Step-by-step explanation:

Just think about it... 180 degrees rotated is exactly opposite rotation degree.

If you rotate 90 degrees, the triangle will end up on quadrant 4.

Rotate 360 degrees, the triangle will stay in the same quadrant.

In conclusion, C is the best option