Bob and Nan have 2 dozen chocolate chip cookies and
18 peanut butter cookies. They are preparing gift baskets for
their friends. They plan to put 4 chocolate chip cookies and
3 peanut butter cookies in each basket. What is the largest
number of baskets they can make and still have enough
cookies?
A 2 baskets
B 4 baskets
C 9 baskets
D 6 baskets

Answer: so a^2 + b^2 = 5

Step-by-step explanation:

(a+b) = 3

ab = 2

so

(a+b)^2 = 3^2

a^2 + 2ab + b^2 = 9

or, a^2 + 2*2 + b^2 = 9

or, a^2 + 4 + b^2 = 9

or, a^2 +b^2 = 9-4 = 5

Answer:

B in the photo

Step-by-step explanation:

another way to write the problem:

square root is also taking the 1/2 power:

[tex](4x)^{1/2} * (x+7)^{1/2} \\[/tex]

since they are raised to the same power:

[tex](4x * (x+7))^{1/2}\\(4x^2 + 28x)^{1/2}\\\\=\sqrt{4x^2 + 28x}[/tex]

Step-by-step explanation:

7/20

=0.35

35%

=35/100

=0.35

Hence, 7/20=35%

Answer: 34

Step-by-step explanation:

[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]

Answer:

4x + 2(x - 3) = 4x + 2x - 11 4x + 2x - 6 = 4x + 2x - 11 6x - 6 = 6x - 11 6x - 6x = -11+ 6 O = -5...incorrect...this has no solution...0 solutions one property used was the distributive property :2(x - 3) = 2x - 6

387×$2.25=$870.75

hope it helps.

Answer:

-2

Step-by-step explanation:

9 - [4^2 - (3 + 2)]

PEDMAS says parentheses first

Work from the inside out

9 - [4^2 - (5)]

9 - [16-5]

9 - [11]

Subtract

9-11

-2

Answer:

Step-by-step explanation:

the x axis

Answer:

foil method

add/subtract like terms

Step-by-step explanation:

b×2b=2b²

b×9=9b

-7×2b=-14b

-7×9=-63

-14b+9=-5

=2b²-5b-63

Answer:

your gonna have to give me more details

Step-by-step explanation:

is this even a question

Answer:

a. isosceles

b. isosceles

c. scalene

Answer:

The correct choice is option a.  (2x+5)(2x−5)

Answer:

Option a. (2x+5)(2x-5)

Step-by-step explanation:

4x2 - 25

Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:

a2 - b2 = (a + b) • (a − b)

As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:

4x2 - 25 = (2x)2 - 52

Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:

(2x + 5) • (2x − 5)

________________________________

I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.

Answer:

2r+7

Step-by-step explanation:

(4r+3)+(−2r+4)

Combine 4r and −2r to get 2r.

2r+3+4

Add 3 and 4 to get 7.

2r+7

:)

Answer:

mkhhikbyjhggfikmnikkfyujikok

Answer:

[tex]f(2) = \frac{3}{2x - 5} [/tex]

Answer:

distributive property

Answer:

D

Step-by-step explanation:

b/c 90 - 14 = 76 .........

Answer:

A. 5 in

Step-by-step explanation:

Let w represent the width of the frame.

If the length is 3 inches longer than twice the width, it can be represented by 2w + 3.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and 2w + 3 as l, and solve for w:

p = 2l + 2w

36 = 2(2w + 3) + 2w

36 = 4w + 6 + 2w

36 = 6w + 6

30 = 6w

5 = w

So, the width of the frame is 5 inches.

The correct answer is A. 5 in

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

Answer:

33.66

Step-by-step explanation:

Answer:

B. y = [tex]\frac{2}{15} X + 2[/tex]

Step-by-step explanation:

I. Given x = 15 and y = 4

         4 = [tex]\frac{2}{15}(15) + 2[/tex]

         4 = 2+2

         4 = 4 true

II. Give x = 0 and y = 2

         2 = [tex]\frac{2}{15}(0) + 2[/tex]

         2 = 0 + 2

         2 = 2 true

III. Given x = -15 and y = 0

         0 = [tex]\frac{2}{15}(-15) + 2[/tex]

         0 = -2 + 2

        0 = 0 true

Good luck.

Answer:

Answer below

Step-by-step explanation:

Expanded form : 20 + 8 + 0.6 + 0.03

Expanded form is a way of writing numbers to see the individual math value of digits.

Word form: twenty eight point six three.

HOPE THIS HELPED

Answer:

B. [tex] {a}^{ - 7 - 10} [/tex] (second option)

Step-by-step explanation:

[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]

[tex] {a}^{ - 7 - 10} [/tex]

[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]

Answer

1.5/4

Step-by-step explanation:

The fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

The given parameters include:

[tex]\frac{14}{25} \ and \ \frac{11}{20}[/tex]

To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;

The prime factorization of 25 = 5²

The prime factorization of 20 = 5 x 2²

The LCM of the two numbers = 5² x 2²  = 25 x 4 = 100

The fractions can rewritten as follows;

[tex]\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}[/tex]

Thus, the fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

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