Determine the measure of the missing angles. Show your work! Be ready to discuss your answer.

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

Step-by-step explanation:

We need to find quotient of x^2+3x+2 divided by x+1

The division is shown in figure attached.

Quotient: x+2

Remainder: 0

The quotient of x + 1 StartLongDivisionSymbol x squared + 3 x + 2 EndLongDivisionSymbol is x+2

Answer:

x+2

Step-by-step explanation:

Ahmed cannot have total of 30 coins in his pocket

Solution:

Given that,

There are 5 pennies for every 6 quarters in Ahmed's pocket

We are asked if Ahmed can have a total of 30 coins in his pocket

From given,

5 pennies for every 6 quarters

Therefore, ratio is:

penny : quarter = 5 : 6

Total = 5 + 6 = 11

Then the total number of coins must be multiple of 11

But 30 is not a multiple of 11

Therefore, Ahmed cannot have total of 30 coins in his pocket

No, Ahmed cannot have a total of 30 coins in his pocket.

Yes, Ahmed could have a total of 30 coins in his pocket.

To determine how many quarters and pennies Ahmed could have, we can set up a ratio.

The ratio of pennies to quarters is 5:6.

Let the number of quarters be represented by 6x, where x is a positive integer. Then, the number of pennies would be 5x.

To find out if Ahmed could have a total of 30 coins, we need to solve the equation 6x + 5x = 30.

Combining like terms, we obtain 11x = 30. By dividing both sides of the equation by 11, we find that x = 2.7272 (repeating).

Since x must be a positive integer, we can conclude that Ahmed cannot have a total of 30 coins in his pocket.

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Answer:

What am i supposed to answer?

Answer:

f(x)=-7x is the only one linear

Step-by-step explanation:

I'm wondering if this is mistake or not with your question, but if you graph each function, all but one graph is linear.

Answer:

B. $106,000

Step-by-step explanation:

Answer:

16272

Step-by-step explanation:

Answer:

16272

Step-by-step explanation:

the answer would be 16272.

and if u need help with anything else you can easily use me :) jkjk use a calculator  

Answer:

Account balance after 17 years: $21,352.27

Step-by-step explanation:

Use the formula for amount after compound interest.

A = P(1+i)ⁿ

What the variables mean:

"A" is for amount after the time period.

"P" is principal, meaning starting money.

"i" is the interest per compounding period.

"n" is the total number of compounding periods.

"c" is the compounding periods each year. (annual = 1; monthly = 12, etc)

To calculate "i":

i = r/c

"r" is the annual interest rate in decimal form.

To calculate "n":

n = t*c

"t" is the time, usually the number of years.

Now can combine these formulas:

[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]

What do we know from the problem?

t = 17 years

P = 4650

r = 9% = 0.09

c = 12

Substitute them into the formula.

[tex]A = P(1+\frac{r}{c})^{t*c}[/tex]

[tex]A = 4650(1+\frac{0.09}{12})^{17*12}[/tex]           Simplify

[tex]A = 4650(1.0075)^{204}[/tex]               Do the exponent with a calculator

[tex]A = 4650(4.59188689)[/tex]        Multiply

[tex]A = 21352.274[/tex]                  Unrounded answer

A ≈ 21352.27                 Round down because "4" is less than 5.

Therefore Ashley's account balance after 17 years will be $21,352.27.

Matt said the solution 1/20 is the correct answer.

Step-by-step explanation:

step 1 :

one fifth ÷ 4 = one part in five equal parts / 4

                    = (1/5) / 4

The expression can be written as (1/5) / (4/1)

step 2 :

To solve the division of fractions, take reciprocal of the denominator and do multiplication.

The reciprocal of denominator (4/1) is 1/4.

step 3 :

(1/5) / (4/1) = (1/5) [tex]\times[/tex] (1/4)

                = 1/20

∴ Matt said the solution is 1/20 is correct.

Question:

Given tan B =7/24, find the sin B

Answer:

Option A

[tex]sin\ B = \frac{7}{25}[/tex]

Solution:

Given that,

[tex]tan\ B = \frac{7}{24}[/tex]

We have to find sin B

We know that by trignometric ratios,

[tex]tan = \frac{opposite}{adjacent}[/tex]

From given,

[tex]tan\ B = \frac{7}{24}[/tex]

On comparing we get,

Opposite = 7

Adjacent = 24

We can find the hypotenuse

[tex]hypotenuse^2 = opposite^2 + adjacent^2\\\\hypotenuse^2 = 7^2 + 24^2\\\\hypotenuse^2 = 49 + 576\\\\hypotenuse^2 = 625\\\\Take\ square\ root\ on\ both\ sides\\\\hypotenuse = 25[/tex]

Thus Sin B is given as:

[tex]sin\ B = \frac{opposite}{hypotenuse}\\\\sin\ B = \frac{7}{25}[/tex]

Thus, sin B is [tex]\frac{7}{25}[/tex]

Answer:

a) Length = (20 - 2x) inches

Width = (15 - 2x) inches

b) Volume = (20 - 2x)(15 - 2x)x cubic inches.

Step-by-step explanation:

A metalworker makes a box from 15 inches by 20 inches piece of tin by cutting a square with a side length x out of each corner and folding up the sides.

a) So, the length of the box will become (20 - 2x) inches.

And, the width of the box will become (15 - 2x) inches.

b) The volume of the box will be = (Length × Width × Height)

= (20 - 2x)(15 - 2x)x cubic inches. (Answer)

Answer:

595 will be approved.

Step-by-step explanation:

Multiply 648 by 0.918:  the result is 594.9, which should be rounded up to 595.

Answer:

[tex](ab)(x)[/tex]

Step-by-step explanation:

The complete question in the attached figure

we have

[tex]a(x)=2x-4\\b(x)=x+2[/tex]

we know that

(ab)(x) is equal to the product of a(x) and b(x)

so

[tex](ab)(x)=(2x-4)(x+2)[/tex]

Applying distributive property

[tex](ab)(x)=2x(x)+2x(2)-4(x)-4(2)[/tex]

[tex](ab)(x)=2x^2+4x-4x-8[/tex]

[tex](ab)(x)=2x^2-8[/tex]

This is a quadratic equation

The other expressions not produce a quadratic equation

Answer:

1

Step-by-step explanation:

Answer:

The value of r is 1/3

Step-by-step explanation:

Let's solve for r in the equation:

16 ^(3-3r) = 256

16 ^(3-3r) = 16²

3 - 3r = 2

-3r = 2 - 3

-3r = -1

r = -1/-3

r = 1/3

Let's prove r = 1/3 is correct:

16 ^(3-3r) = 256

16 ^ (3 - (3 * 1/3)) = 256

16 ^ (3 - 1) = 256

16 ² = 256

16 * 16 = 356

We proved that r = 1/3 is correct

Answer:

you have to multiply to get the answer because it's an area not premiter. premiter you at all at once

Answer:

Total area= [tex]28 +25.12= 53.12[/tex] square feet

Step-by-step explanation:

The total area of the 2-D figure= Area of triangle in the fig. + Area of the semicircle in it.

Area of the triangle in the figure [tex]=\frac{1}{2}*Base*Altitude \\\\=\frac{1}{2}*8*7\\\\ =\frac{56}{2} \\\\=28[/tex] square feet

Area of the semicircle=

                                              [tex]\frac{\pi r^2}{2} \\\\\frac{3.14*4*4}{2}\\\\ 3.14*8\\\\25.12square feet[/tex]

Total area= [tex]28 +25.12= 53.12[/tex] square feet

Answer:

Scientific Notation:

4.2 × 10^-3

E-Notation:

4.2e-3

Engineering Notation:

4.2 × 10^-3

Real Number:

0.0042

Step-by-step explanation:

Answer:

h = 96/8

Step-by-step explanation:

In this image, we're being shown a rectangle. To solve for a rectangle, you use:

Area = base x height

We know the base and area already, so we can plug those values in. It will then look like this:

96 ft = 8ft x height

In order to make it into "h = _____" we need to isolate the height. We can use inverse operation for that. We can divide 8 on both sides. This will then give us the equation:

h = 96/8

Hence, the answer to this is "h = 96/8". If you have any further concerns or questions, feel free to leave a comment below! Have a great day!!! :)

68 m/s was her average speed

Amy's average speed was 68 mph (miles per hour)

From the question, we are to determine what Amy's average speed was

Average speed can be calculated by using the formula,

[tex]Average\ speed =\frac{Distance}{Time}[/tex]

From the given information,

Distance covered = 204 miles

Time = 3 hours

Then

Average speed = [tex]\frac{204}{3}[/tex]

Average speed = 68 mph (miles per hour)

Hence, Amy's average speed was 68 mph (miles per hour)

Learn more on Calculating average speed here: https://brainly.com/question/6504879

Answer:

3/2d

Step-by-step explanation:

ad 5 and 4 then subtracts 6 from both sides then divide 2 from 3 and get 3/2

Answer:

y=5x-10

Step-by-step explanation:

y+10=5x

y=5x-10

Answer:

Option C. X=A/4

Step-by-step explanation:

we know that

The area of the rectangular post it note is equal to

[tex]A=LW[/tex]

where

L is the length

W is the width

In this problem we have

[tex]W=4\ in\\L=X\ in[/tex]

substitute

[tex]A=4X[/tex]

solve for x

That means ----> isolate the variable x

Divide by 4 both sides

[tex]X=\frac{A}{4}[/tex]

Answer:

$39.15

Step-by-step explanation:

87 x .55 = 47.85

87-47.85= 39.15

Answer:

$39.15

Step-by-step explanation:

87 x 55%

87 x 0.55 = 47.85

87 - 47.85 = 39.15

Answer:

.

Step-by-step explanation:

Answer:

5/9.

Step-by-step explanation:

Prob ( first  dice = 2 and second = 2) = 1/2 * 1/2 = 1/4

Prob ( first  = 2 , second = 4) = 1/2 * 1/6 = 1/12

Prob ( first = 4 and second = 2) = 1/12.

Prob ( first = 3 and second = 1 ) = 1/36

Prob ( first = 1 and second = 3) = 1/36.

Prob ( first = 3 and second = 3) = 1/6 *1/6 = 1/36.

Prob (first = 1 and second = 1 = 1/36.

Prob (first = 4 and second = 4 = 1/36.

Required probability is the sum of these which is:

5/9.

I hope I've thought of all the possible outcomes.

Answer:

50

Step-by-step explanation:

Answer:

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

i) Let the number of small marbles be x

ii) let the number of medium marbles be y

iii) let the number of large marbles be z

iv) Amy has 5 times as many small marbles as medium marbles therefore we can write  5y = x

v) the number of large marbles is two more than than three times the number of medium marbles therefore we can write

   z = 3y + 2

vi) Amy has a total of 560 marbles therefore we can write x + y + z = 560

vii) Therefore from i) we can write x  = 5y

viii) using vii) and v) in vi) we can write

    x + y + z  = 5y + y + 3y + 2 = 560

ix) Therefore 9y = 558   .... therefore y = [tex]\frac{558}{9}[/tex] = 62

x) Therefore from i) we get x  = y [tex]\times[/tex] 5 = 62 [tex]\times[/tex] 5 = 310

xi) Therefore z  = (3 [tex]\times[/tex] 62) + 2 =  188

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Answer:

18

Step-by-step explanation:

15 + Percentage increase =

15 + (20% × 15) =

15 + 20% × 15 =

(1 + 20%) × 15 =

(100% + 20%) × 15 =

120% × 15 =

120 ÷ 100 × 15 =

120 × 15 ÷ 100 =

1,800 ÷ 100 =

18

Answer:

She will exercise for 6 hours in four weeks.

Step-by-step explanation:

Summer exercises for 0.5 hour on Monday, 0.5 hour on Wednesday, and 0.5 hour on Friday. There are 3 days where she exercises for 0.5 hour.

3 days X 0.5h = 1.5h each week

For four weeks, multiply the hours each week by 4.

1.5h X 4 weeks = 6h

Therefore Summer will exercise for 6 hours over the course of 4 weeks.

Answer:

6 hours

Step-by-step explanation:

We know that Summer exercises for 0.5 (Or a half) hour every day, three days a week (Monday, Wednesday, Friday). We need to found out how many hours she exercises in 4 weeks.

To solve this we first find out how many hours she exercises in one week. To do so, we set up an equation like this:

(Time exercising) x (# of days exercising) = (Hours spent exercising in one week)

Plug in the given numbers:

0.5 x 3 = 1.5 hours

If we know she exercises 1.5 (Or one and a half) hours in 1 week, we multiply this number by 4 to find out how many hours she exercises in 4 weeks. This can be shown in an equation like this:

1.5 x 4 = 6

So Summer will exercise for 6 hours in 4 weeks.