Ethan is packing bags with treats for a party. He wants every bag to have exactly the same treats in it. Ethan had 96 granola bars and 64 lollipops. If he wants to make the most number of bags possible, how many bags can he make?

Answer:

3=x+5

Step-by-step explanation:

Answer:

x + 5 = 3

Step-by-step explanation:

"Three is 5 more than a number."

The word is indicates that 3 is the final number, or rather, what the equation equals.

Then, 5 more than a number, shows the rest of your equation. A number is just your variable, so any letter. We'll use X. Then, it says that the answer (3) is 5 more than x. So, your equation is:

x + 5 = 3

Answer:

  $750

Step-by-step explanation:

Tim's share price changes by $2.24 -2.49 = -0.25, so the change in the value of his investment is ...

  (3000 shares)(-0.25/share) = -$750

Tim takes a loss of $750 when he sells.

Answer:

Step-by-step explanation:

$\$1170$

Bob's initial investment is given by

Initial Investment =3,000×$1.25=$3,750.

When Bob sells the shares, he sells them for

Sold for price=3,000×$0.86=$2,580.

Therefore Bob's total LOSS is given by

Loss =$3,750−$2,580=$1,170.

Answer:

the smallest angle are 30 degree

Step-by-step explanation:

let x is the angle of triangle

x+2x+3x=180

6x=180

6x/6=180/6

x=30 degree

2x=60 degree

3x=90degree

Answer:

b=0.7(3) The 3 in the parentheses means the 3 repeats forever

Step-by-step explanation:

If you simplify the sides, it will equal -1.5b=3b-3.3. This means that 4.5b=3.3. This means that b=0.7(3). The 3 will repeat forever.

Hopefully the explanation and the answer helps you!

Answer:

[tex]\frac{7}{2}ln(|x^2+1|)+\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Step-by-step explanation:

Perform the partial fraction decomposition

[tex]\int{\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)} } \, dx\\ \\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{Ax+B}{x^2+1}+\frac{Cx+D}{x^2+7}\\ \\7x^3+5x^2+49x+5=(x^2+7)(Ax+B)+(x^2+1)(Cx+D)\\\\7x^3+5x^2+49x+5=Ax^3+Bx^2+7Ax+7B+Cx^3+Dx^2+Cx+D\\\\7x^3+5x^2+49x+5=Ax^3+Cx^3+Bx^2+Dx^2+7Ax+Cx+7B+D\\\\7x^3+5x^2+49x+5=x^3(A+C)+x^2(B+D)+x(7A+C)+7B+D[/tex]

Set up a system of equations and solve for each constant

[tex]\begin{cases} A + C = 7\\B + D = 5\\7 A + C = 49\\7 B + D = 5 \end{cases}[/tex]

[tex]A+C=7\\A=7-C[/tex]

[tex]7A+C=49\\7(7-C)+C=49\\49-7C+C=49\\49-6C=49\\-6C=0\\C=0[/tex]

[tex]A=7-C\\A=7-0\\A=7[/tex]

[tex]B+D=5\\B=5-D[/tex]

[tex]7B+D=5\\7(5-D)+D=5\\35-7D+D=5\\35-6D=5\\-6D=-30\\D=5[/tex]

[tex]B=5-D\\B=5-5\\B=0[/tex]

Plug solved constants in and evaluate

[tex]\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{Ax+B}{x^2+1}+\frac{Cx+D}{x^2+7}\\\\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{7x+0}{x^2+1}+\frac{0x+5}{x^2+7}\\\\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{7x}{x^2+1}+\frac{5}{x^2+7}[/tex]

Break up integral

[tex]\int {\bigr(\frac{7x}{x^2+1}+\frac{5}{x^2+7}\bigr) } \, dx[/tex]

[tex]\int {\frac{7x}{x^2+1} } \, dx +\int {\frac{5}{x^2+7}} \, dx\\\\\int {\frac{7x}{x^2+1} } \, dx +5\int {\frac{1}{x^2+7}} \, dx[/tex]

Solve first integral

Let [tex]u=x^2+1[/tex] and [tex]du=2xdx[/tex] for the first integral. Thus, [tex]\frac{7}{2}du=7xdx[/tex]:

[tex]\frac{7}{2}\int {\frac{du}{u}}\\\\\frac{7}{2}ln(|u|)+C\\ \\\frac{7}{2}ln(|x^2+1|)+C[/tex]

Solve second integral

Since [tex]5\int {\frac{1}{x^2+7} } \, dx[/tex] is in the form of [tex]\int{\frac{1}{x^2+a^2} } \, dx[/tex], its formula is [tex]\frac{1}{a}arctan(\frac{x}{a})+C[/tex]:

[tex]5\int {\frac{1}{x^2+7} } \, dx\\\\5\bigr(\frac{1}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C\bigr)\\\\\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Combine integrals

[tex]\biggr[\frac{7}{2}ln(|x^2+1|)+C\biggr]+\biggr[\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C\biggr]\\ \\\frac{7}{2}ln(|x^2+1|)+\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Answer:

  $77.76

Step-by-step explanation:

The future value formula is useful:

  FV = P(1 +r)^t

  FV = $45(1.20^3) = $45·1.728 = $77.76

Answer:

a. 4, b.20

Step-by-step explanation:

There are 4 quarter mile laps in 1 mile, so you multiply the miles covered by 4 to find out the quarter mile laps.

a. 1x4=4

b. 5x4=20

Answer:

a. 4, b. 20

Step-by-step explanation:

A quarter mile is 1/4 a mile is 4/4 so if Jim runs 4 quarter miles he will run a mile so 4 is your answer. Since we know that a quarter mile is 1/4 and a mile is 4/4 we multiply 4*5 and get 20.

Answer:

[tex]y = 0.04[/tex]

Step-by-step explanation:

[tex]y[/tex] ∝ [tex]\frac{k}{x}[/tex] (k is a constant we need)

[tex]12 = \frac{k}{20}[/tex]

[tex]k = 0.6[/tex]

[tex]y = \frac{0.6}{15}[/tex]

[tex]y=0.04[/tex]

Answer:

The answer is 24

Step-by-step explanation:

Since the population after x hours is 2x, then after 12 hours, we'll substitute x = 12 into the function.

The population becomes 2 x 12 = 24

Answer:

1st 306.36 2nd 10.78 3rd 355.25

Step-by-step explanation:

bc i just skipped and it showed me the answers

Answer:

x = - [tex]\frac{7}{2}[/tex], x = - 3

Step-by-step explanation:

Given

2x² + 13x = - 21 ( add 21 to both sides )

2x² + 13x + 21 = 0 ← in standard form

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 21 = 42 and sum = + 13

The factors are + 6 and + 7

Use these factors to split the x- term

2x² + 6x + 7x + 21 = 0 ( factor the first/second and third/fourth terms )

2x(x + 3) + 7(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(2x + 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = - [tex]\frac{7}{2}[/tex]

Answer:

The answer is letter A

Step-by-step explanation:

Answer: angle BEC = 43 degrees

Step-by-step explanation:

Straight angle = 180 degrees

75 + 62 = 137

180 - 137 = 43

Answer:

A:

625 in3 I think

ok so I think coz I'm in 4rth

Answer:

x = 41° , y = z = 74°

Step-by-step explanation:

x and 41 are alternate angles and are congruent , then

x = 41°

the 2 sides of the triangle with vertex = 32° are congruent so the triangle is isosceles with base angles being congruent , then

y = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

y and z are vertically opposite angles and are congruent so

z = 74°

Answer:

20

Step-by-step explanation:

9/g+2h+5

g=3

h=6

=9/3+2(6)+5

=3+12+5

=20

hope dis helps.

pls brainliest!!!!!

Answer:

{A and B} = 0.20

{A and not B} = 0.24

{B and not A} = 0.06

{neither A nor B} = 0.50

Step-by-step explanation:

Given the following :

P(A) = 0.44

P(B) = 0.26

P(A or B) = 0.50.

{A and B} = 0.20

{A and not B} = 0.24

{B and not A} = 0.06

{neither A nor B} = 0.50

Kindly check attached picture for detailed explanation

Answer:

The answer is 112

Step-by-step explanation:

Area= base + base divided by 2 times height.

So 12+16 divided by 2 times 8.

Answer:

Total yearly interest for the two accounts is: $570

Step-by-step explanation:

0.075*1000+0.0825*6000=570

75.0+495.0=570

Answer:

251.33cm³

Step-by-step explanation:

take pie as 22/7

surface area = 2π r h + 2π r²

2×22/7×5×3 + 2×22/7×5²

44/7×15 + 44/7×25

660/7 + 1100/7

660 + 1100 all over 7

= 1760/7

251.33cm³ Or 251.43cm³

Using Venn probabilities, it is found that there is a 0.65 = 65% probability that a fan item selected at random will have at least one defect.

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In this problem, the given probabilities are [tex]P(A) = 0.4, P(B) = 0.5, P(A \cap B) = 0.25[/tex], hence, the "or probability", also called the "at least one" probability, is given by:

[tex]P(A \cup B) = 0.4 + 0.5 - 0.25 = 0.65[/tex]

0.65 = 65% probability that a fan item selected at random will have at least one defect.

More can be learned about Venn probabilities at https://brainly.com/question/25698611

Answer:

umm i think A C D E ?

Step-by-step explanation:

because theyre all the same. some is just distribution. you should wait for another opinion though because im too lazy to check for B  

The service charge without the VAT is  Rs. 2000.

VAT means value added tax. It is a form of tax levied on goods and services. Taxes are compulsory amounts or percentages that is levied on certain goods and services. Taxes increase the price of products.

Service charge = VAT / percentage VAT

260 / 13%

260 / 0.13 = Rs. 2000

To learn more about taxes, please check: https://brainly.com/question/25311567

9514 1404 393

Answer:

  240

Step-by-step explanation:

Your calculator can tell you the answer.

__

If you're doing this by hand, it can be convenient to combine the multipliers of 48:

  (2 5/7)·48 +(2 2/7)·48 = (2 5/7 +2 2/7)·48 = ((2+2) +(5/7+2/7))·48

  = (4 +7/7)·48 = 5·48 = 240

Answer:

3:5 & 18:30

Step-by-step explanation:

To find an equivalent ratio, just multiply or divide both terms by the same number. For the two I did, I divided by 3 for one, and multiplied by 2 for the other, but there are infinite possibilities. Hope this helped!

Answer:

[tex]\frac{2}{3}[/tex] lbs per book

Step-by-step explanation:

     We can divide 4 pounds by the total number of books, 6, to find out how much each book weighs.

     4 lbs / 6 books = [tex]\frac{4/2}{6/2}=\frac{2}{3}[/tex] lbs

Each book weighs [tex]\frac{2}{3}[/tex] lbs

2/3 is equal to about 0.667

Another thing I wanted to note, 2 lbs * 6 = 12 lbs, not 10 lbs.

Answer:

123 milligrams

Step-by-step explanation:

76 : 3.1 = x : 5

76 * 5 = 3.1x

x = 76*5/3.1 = 123 milligrams