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:

Step-by-step explanation:

First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.

Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.

[tex]x^4(x^8y^4-y^1^2)[/tex]

We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.

[tex]x^4y^4(x^8-y^8)[/tex]

Answer:

Step-by-step explanation:

180-50 = 130

130 / 2= 65

Answer:

x=65

Step-by-step explanation:

you can set up a equation

50 + x+x =180 = 50 + 2x =180

then minus the 50

2x= 130 and the divide by 2

x=65

Answer:

1/3 is your awnser also what ur name in prodigy ill play with u im level 100

Step-by-step explanation:

Answer:

[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]

5.3=15

2.3=6

[tex] \frac{6}{15} + \frac{5}{15} [/tex]

Answer: distance

Step-by-step explanation:

The rest of the words have actual accompanying definitions in geometry.

An undefined term used in geometry is the point.

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Answer:

In point form (6,-2) and Equation form: x = 6, y= -2

Step-by-step explanation:

Answer:

1.50$

Step-by-step explanation:

difference in money amount: $6

difference in hours: 4

6 divided by 4 equals 1.50.

1.50 times 4 equals 6, hence its 1.50 per hour.

The rate of change in the Starbucks stock value is 150%.

Given that, At 10 AM, one share of Starbucks stock was $35. By 2 PM the price was $41.

We need to find the rate the Starbucks stock value was changing is - per hour.

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Now, the difference in money=41-35=$6

The number of hours between 10 AM to 2 PM is 4 hours.

The rate of change = The difference in money/Number of hours × 100

=6/4 × 100

=150%

Therefore, the rate of change in the Starbucks stock value is 150%.

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Answer:

Option 1

Step-by-step explanation:

Use Pythagorean theorem,

AB² = base² + altitude²

      = 7² + 6²

     = 49 + 36

     = 85

AB =√85

Answer:

option a.

6²+7²=ab²(by Pythagoras theorem)

36+49=ab²

85=ab²

square root 85=ab

Answer:

You can do it! Sorry i can't help because your on a different level. Try your best!

Step-by-step explanation:

Answer:

5.50

Step-by-step explanation:

5 = whole number

.

5 = Tenths

0 = Hundreths

5.50

Answer:

84 sq. inches

Step-by-step explanation:

When you section off each, you can find the area of each shape and add together to make composite.

Triangle on left is 6 sq. inches

Rectangle on right (5x10) is 50 sq. inches

Rectangle on bottom (7x4) is 28 sq. inches

Answer:

Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

[tex]x=\frac{13}{6}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]

Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]

Therefore,

[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]

Answer:

Remember that the roots are the values of the variable when the expression equals 0.

a: 4 + 3 = 7 and 4*3 = 12 so we have (x + 3)(x + 4) with roots -3, -4

b: -4 + -2 = -6 and -4*-2=8 so we have (t-2)(t-4) with roots 2, 4

c: 2*-4 + 6 = -2 and -4*6=24 so we have (2n+6)(n-4) with roots -3, 4

d: -7+-4 = -11 and -7*-4=28 so we have (y-4)(y-7) with roots 4, 7

Answer:

399.9

Step-by-step explanation:

Answer:

99.975

Step-by-step explanation:

199.95=100%

99.975

Answer:

1. x = 2

2. x = 5

3. x = 8

4. x = 28

5. x = 13

6. x = 11

7. x = 0

8. x = 72

9. x = 6

10. x = 38

Step-by-step explanation:

hope that helps!

1. subtract 6 on both sides

2. add 3 on both sides

3. divide both sides by 2

4. multiply both sides by 2

5. add 8 on both sides

6. subtract 9 on both sides

7. add 5 on both sides

8. multiply both sides by 6

9. divide both sides by 4

10. add 18 on both sides

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

explanation: This is the edmentum answer

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

Step-by-step explanation:

Answer:

38.9%

Step-by-step explanation:

a=28

b=77

c=33

d=56

e=72

a/e=.388888888

Answer:

AC = 36

Step-by-step explanation:

since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.

ef/bc = 5/45 (1/9) = ed/ba =  2/18 (1/9)

we can see the sides are in a ratio of 1:9, and plug it in the proportion

df/ac = 1/9

4/ac = 1/9

cross multiply and we get that ac = 36

Answer:

infinite

Step-by-step explanation:

it results in 10-10x=10-10x if you simplify

can also be simplified more into x=x

but we already know x has to equal x.

Answer:B

Step-by-step explanation:

827537517172763 kahvxjx

Answer:

1/2 is your answer = 4/8 because 7/8 - 3/8 = 4/8 = 1/2.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

7/8 - 3/8 = 4/8

4/8 = 1/2

Answer:

it will drop to 2855 I believe

Answer:

the answer is D

Step-by-step explanation:

The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

1, 9/10, 4/5, 7/10

The first term of the sequence a = 1

The common difference of the arithmetic sequence is the difference between two consecutive terms.

d = 9/10 - 1

d = - 1/10

The common difference of the given arithmetic sequence is - 1/10.

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Answer: y = 3x + 1

Step-by-step explanation:

3 is the slope and 1 is the y-intercept

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Answer: -3

Step-by-step explanation:

[tex]\frac{27}{-9} = -3 \\[/tex]

We can check our work my multiplying -3 by -9 and see that it equals 27

[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]

Answer:

 4.50

Step-by-step explanation:

4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

The decimal form of  4 and 1/2  is 4.5

Decimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.

Therefore, 4 and 1/2 in decimal form is represented as follows;

Mixed fraction = 4  1 / 2

Improper fraction = 9 / 2

decimal form of  1 / 2 = 0.5

Therefore, 4 1 / 2 = 4.5

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Answer:

EBC and CBF are supplementary.

EBD=66

Step-by-step explanation:

Since vertical angles are congruent, ABE=CBF

ABE=40-x

40-x + 6x-30=90

5x+10=90

5x=80

x=16

16(6)-30=66

Answer:

24

Step-by-step explanation: