Chris bought a card for 35¢. He
gave the clerk 6 coins. What coins
did he give the clerk?

Answer:

33%

Step-by-step explanation:

(68/206) × 100 = 33%

the answer is 33%

Answer:

12.56

Step-by-step explanation:

d = 2r = 2(2 m) = 4 m

C = πd = 3.14 × 4 m = 12.56 m

Answer:

C=12.56 m

Step-by-step explanation:

The radius is 2 m. To find the circumference, you need d, which is the diameter.

The diameter of a circle is 2 times the radius.

d=2*2=4

Now use the formula to find the circumference

C=3.14*4=12.56

Answer:

3^3 - 4+6 = 17

Step-by-step explanation:

First you would do the exponents. 3 to the power of 3 (3^3) is 27.

Then you would add 4 and 6 (4+6) which will give you 10.

Finally, you would need to subract 10 from 27 (27-10) and you would get 17.

Hope this helps! :)

Answer:

29

Step-by-step explanation:

The expression is

a^3 - b + c

You just have to plug in the numbers, then evaluate,,

(3)³ - (4) + (6)

Let's start off with the exponent, so (3)³ = 3×3×3

3×3=9

9×3=27

Now, we have 27 - (4) + (6)

We have to get rid of the parenthesis so multiply the symbol next to it, - × 4 = -4, and + × 6 = +6. Now rewrite the equation.

27 - 4 + 6

27 - 4 = 23

23 + 6 = 29

Therefore, the answer its 29.

Hope this helps,

-Ketifa

Answer:

C. 20%

Step-by-step explanation:

The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The length is 5 units more than 4 times the width

Suppose,

length = l

width = b

So, according to given condition

l = 4b + 5

Now, the area for rectangle is

A = length × width

A = l × b

A = (4b + 5) × b

Hence, the algebraic expression is (4b + 5) × b

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Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The radius of the circle, r = 8 cm

The area of the sector, [tex]A=56\pi \ cm^2[/tex]

We need to find the measure of the sentral angle. The formula for the area of a sector is given by :

[tex]A=\dfrac{1}{2} r^2\theta[/tex]

Where

[tex]\theta[/tex] is the central angle

Substitute all the values,

[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]

So, the correct option is (b).

Answer:

John paid $1.60 per balloon while Karyn pain $1.50 per balloon.

Step-by-step explanation:

4.80 divided by 3 = 1.60

6 divided by 4 = 1.50

Answer:

B. (13 - 6)n - 40

Step-by-step explanation:

If each bottle costs them $6 and they are selling each one for $13, the amount of money they make for each bottle can be represented by (13 - 6)n

This is because this finds the profit per bottle, then multiplies it by n, which is the number of bottles they sell.

Then, since they spent $40 on advertising, subtract 40 from this.

The expression will be (13 - 6)n - 40.

The correct answer is B. (13 - 6)n - 40

The expression represents the money that the group raises is  (13-6)n  - 40

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

According to the question

Members of a school sports team are raising money by selling custom water bottles at school activities.

Let number of bottle they sell = n

Selling price of a bottle = $13

Now ,

Selling price of n bottle =  $13n

Cost price of a bottle =  $6

Now ,

Cost price  of n bottle =  $6n

Money spent on advertising = $40

Total they spent on bottles = $6n +  $40

Therefore,

Money they raise in expression =  13n - 6n - 40

                                                      =  (13-6)n  - 40

Hence, The expression represents the money that the group raises is  (13-6)n  - 40

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Answer:

angle ABD=42°

Step-by-step explanation:

join AO with dotted line

AO=OD...radii

triangle AOD is an isosceles

angle DAO=angle ODA.....base angles of isosceles

angle DAO=48°

AngleAOD=180°-(48°+48°)....angle sum of triangle

=180°-96°

=84°

Angle AOD=2×angle ABD....angle at centre twice angle circumference

2xangle ABD=84°

Angle ABD=84°÷2

=42°

Answer:

The first three depending on what the first one says. 2 and three are definitely correct though. If the first one says x to the second power added by 4 then it is correct.

Step-by-step explanation:

Answer:

X=295.6

Step-by-step explanation:

I took the test

Answer:

295.6

Step-by-step explanation:

Answer:

The probability of selecting two Democrats and three Republicans is 10.7%.

Step-by-step explanation:

Given that a city council consists of seven Democrats and eight Republicans, if a committee of five people is selected, to find the probability of selecting two Democrats and three Republicans the following calculation must be performed:

7 = 100

2 = X

2 x 100/7 = X

28.57 = X

8 = 100

3 = X

3 x 100/8 = X

37.5 = X

0.2857 x 0.375 = X

0.107 = X

0.107 x 100 = 10.7

Therefore, the probability of selecting two Democrats and three Republicans is 10.7%.

Answer:

7/12lb

Step-by-step explanation:

5-1 2/3-2 3/4

=5-5/3-11/4

=10/3-11/4

=40/12-33/12

=7/12lb

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

There was an initial amount of 5 lbs.

[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]

4 (5/12) of the sugar was used.

[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]

(7/12) of sugar should be remaining.

Hope this helps.

Answer:

The manager purchased 28 soccer balls.

Step-by-step explanation:

Since the information states that the athletic department manager purchased a total of 52 balls, you can say that the result of adding up the number of footballs and soccer balls purchased is 52, which can be expressed as:

x+y=52, where:

x is the number of footballs purchased

y is the number of soccer balls purchased

Also, as the statement indicates the price of each type of ball and the total cost, you can say that adding up the results of multiplying the price of each ball for the quantity purchased is equal to the total amount spent, which is:

23.53x+19.86y=1,120.80

Now, you have 2 equations:

x+y=52 (1)

23.53x+19.86y=1,120.80 (2)

To be able to find the value of x and y, first you can isolate x in (1):

x=52-y (3)

Then, you can replace (3) in (2) and solve for y:

23.53(52-y)+19.86y=1,120.80

1,223.56-23.53y+19.86y=1,120.80

1,223.56-1,120.80=23.53y-19.86y

102.76=3.67y

y=102.76/3.67

y=28

Finally, you can replace the value of y in (3) to find the value of x:

x=52-28

y=24

According to this, the answer is that the manager purchased 28 soccer balls.

Answer:

The height above ground when the ride stops is 96 feet

Step-by-step explanation:

The given diameter of the carnival ride, d = 120 ft.

The height of the ride above the ground, h = 6 ft.

The angle through which the ride is rotated, θ = 240° counterclockwise

Therefore, we have;

The radius of the ride, r = d/2

∴ r = 120 ft./2 = 60 ft.

We note that at 180° rotation, the ride is at the highest point, [tex]h_{max}[/tex] = 6 ft. + 120 ft. = 126 ft.

When the ride rotates a further 240° - 180° = 60° the height drops from the maximum point by y = 60 ft. × cos (60°) = 30 ft., such that the final height above ground is therefore;

h = 126 ft. - 30 ft. = 96 ft.

The height above ground when the ride stops, h = 96 ft.

Answer:

They Have The Same Y-Intercept.

Function 2's y-intercept is -5.

Function 1 y-intercept could be found by inputting 0 as r.

p=0-5

p=-5

Meaning, they're equal.

Answer:

profit %=35%

cp=Rs15

sp=?

profit amount =?

now,

sp=35%of cp

=35 of 15

__

100

= 5.25

again,

sp =cp + profit

=15+5.5

=20.5#

Step-by-step explanation:

hope it helps

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

Answer:

it's reason is : given BAD =CAD

Answer:[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{50}[/tex] ==>

2x25 ==> El 25 lo puedes reducir más ==> 5x5

Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.

Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.

Resultado:

[tex]5\sqrt{2}[/tex]

Answer:

n has to be negative

Step-by-step explanation:

To solve this equation, 15 has to be subtracted from 2 which is negative

Since n is positive then the overall result will be negative

[tex]38 + 7x - 21 = 9x + 9[/tex]

Combine like terms.

[tex]17 + 7x = 9x + 9[/tex]

Eliminate a x.

[tex]17 = 2x + 9[/tex]

[tex]8 = 2x[/tex]

[tex]x = 4[/tex]

38 + 7x - 21 = 9x + 9

7x + 17 = 9x + 9

Subtract both sides 9

7x + 17 - 9 = 9x + 9 - 9

7x + 8 = 9x

Subtract sides 7x

7x - 7x + 8 = 9x - 7x

8 = 2x

Divide both sides by 2

8 ÷ 2 = 2x ÷ 2

x = 4

Answer:

1.10 2.158 3.157 4.100. 5.32 6. 168 7.99 8.46 9.3

Step-by-step explanation:

Answer:

9, 84, 30, 10, 157, 45, 168, 3, 100, 99

Step-by-step explanation:

Answer:

[tex]M=\$605.58[/tex]

Step-by-step explanation:

From the question we are told that:

Issac's Debit [tex]P=\$8100[/tex]

Annual interest rate  [tex]r=21.9\%[/tex]

Number of payments [tex]n=16[/tex]

Generally the equation for Monthly payment  is mathematically given by

 [tex]M=\frac{Pr}{1-(1+r)^-^n}[/tex]

 [tex]M=\frac{1800*0.0219}{1-(1+0.0219)^-^{16}}[/tex]

 [tex]M=\$605.58[/tex]

Therefore Payment for each month is given as

 [tex]M=\$605.58[/tex]

Answer:

12.57

Step-by-step explanation:

URS= 20º

Hope this helps!!

Answer:

the answer is 0 or a

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The various forms of the expression use the relation ...

  -5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4

Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.

(8)(-5 1/4)

= (8)(-5 + -1/4)

= 8(-5) +8(-1/4)

= 8(-5) -8(1/4)

= 8(-6 +3/4)

Attached is the non-equivalent expression.

Answer:

vertical opposite angles are always equal

= 143°

co-interior angles are supplementary ( 180° )

∴ x = 180 - 143 = 37

∴ x = 37°

hope this answer helps you.....

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