It costs $5 to buy a pen and $3 to buy a rulers If you have $50 to spend, write an inequality representing all the possible combinations of pens and rulers you could buy, then graph it.

Answer:

Douglas can race the go-karts at least 3 times.

Step-by-step explanation:

Given that:

Worth of game card = $20

Cost of go-kart = $3.50 each time

Amount Douglas wants to left = $7.75

Let,

x be the times Douglas can ride go-kart.

20 - 3.50x ≤ 7.75

-3.50x ≤ 7.75 - 20

-3.50x ≤ -12.25

3.50x ≤ 12.25

Dividing both sides by 3.50

[tex]\frac{3.50x}{3.50}\leq \frac{12.25}{3.50}\\x\leq 3.5[/tex]

Hence,

Douglas can race the go-karts at least 3 times.

Douglas should race 3 or fewer times to make sure he has at least $7.75 left on his card.

Given to us

Douglas bought a $20 game card at a game center.

The go-karts cost $3.50 each time you race.

Douglas wants to have at least $7.75 left on his card to play arcade games.

Assumption

Let's assume that Douglas races x number of times on go-kart.

As we know the total balance on the card is $20. And the cost of go-karts is $3.50 each time we race. Also, we need to save $7.75 on the card, therefore, Inequality can be written as,

$20 - ($3.5)x ≤ $7.75

$20 - ($3.5)x ≤ $7.75

[tex]20 - (3.5)x \leq 7.75\\\\-3.5x \leq 7.75-20\\\\-3.5x \leq -12.25\\\\x \leq \dfrac{-12.25}{-3.5}\\\\x \leq 3.5[/tex]

Hence, Douglas should race 3 or fewer times to make sure he has at least $7.75 left on his card.

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Answer:

252,000

Step-by-step explanation:

since we know that 5% of 240,000 is 12,000

then we just add 12,000 to the 240,000 for a 5% increase

(2+3i)+2i(2+3i) = 1(2+3i) + 2i(2+3i) = (1+2i)(2+3i)

Answer:

$48,629

Step-by-step explanation:

The computation of the salary amount that she earned in 30 years

here we applied the future value formula

As we know that

Future value = Present value × (1 + interest rate)^time period

= $34,000 × (1 + 1.2%)^30

= $34,000 × 1.012^30

= $48,629

Answer:

615.44 m²

Step-by-step explanation:

3.14(14)²= 615.44 m²

Answer:

153.9 m²

Step-by-step explanation:

A = πr2 Use the formula.

A = π(7)2 Substitute. Use 7 for r.

A ≈ 3.14 × 72 Substitute. Use 3.14 for π.

A ≈ 3.14 × 49 Evaluate the power.

A ≈ 153.9 Multiply.

The area of the circle is about 153.9 m².

Answer:

350

Step-by-step explanation:

7 x 10 to the 7th power is 70000000 and 2x 10 to the 5th power is 200000, if you divide them yo get 350.

Step-by-step explanation:

no pic available Hun xx try posting again

Answer:

±[tex]\sqrt{-9}[/tex] or ±3i

Step-by-step explanation:

x² = -9

x = ±[tex]\sqrt{-9}[/tex] or ±3i

Answer:

Price increased=rs 52-1=rs 51

So therefore, increased%=51/1 x 100= 5100%

Step-by-step explanation:

Hope this helped!!!!!

Answer: A

Step-by-step explanation: 6 is for $4 therefore 3 is for $2

Answer:

2

Step-by-step explanation:

5(2)+2=12

(2)+4=6

5x+2 is twice the length of x+4. Therefore the answer is 2

Answer:

m∠ACD = 24°

Step-by-step explanation:

Measure of the interior angles of a polygon = [tex]\frac{(n - 2)\times 180}{n}[/tex]

Therefore, measure of the interior angles of a rectangle = [tex]\frac{(4 - 2)\times 180}{4}[/tex]

                                                                                              = [tex]\frac{360}{4}[/tex]

                                                                                              = 90°

m∠BCD = 90°

Since, m∠BCD = m∠BCA + m∠ACD

90° = 66° + m∠ACD

m∠ACD = 90° - 66°

              = 24°

Therefore, measure of angles ACD is 24°.

Answer:

it's 124

Step-by-step explanation:

95*2=190

338-190=248

248/2= 124

width=124

The angular velocity of the ladybug is the same as the angular velocity of

the record.

Correct responses (approximate values):

a)  3.875 rad/s

b) 31 cm/s

c) 527 cm

The rate at which the record is spinning = 37 rpm

Location of the ladybug on the record = 8 cm from the center

a) The angular velocity of the ladybug is given as follows;

1 revolution = 2·π radians

1 minute = 60 seconds

Therefore;

[tex]Angular \ velocity, \ \omega = \dfrac{37 \times 2 \cdot \pi}{60 \, s} \approx \mathbf{ 3.875}[/tex]

b) Linear speed, v = Radius, r × Angular speed, ω

The radius with the ladybug rotates, r = 8 cm

Angular velocity of the ladybug = ω ≈ 3.875 rad/s

Therefore;

c) Distance, d = Speed, v × Time, t

After 17 seconds, we have;

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Answer:

Step-by-step explanation:

Answer:

Part A: 8b -12c -16

Part B: 4(2b - 3c -4)

Part C: 36

Step-by-step explanation:

Part A:

5b + 3c - 20 + 3b - 15c + 4

= 8b -12c -16

Part B:

Factorising 8b -12c -16

= 4(2b - 3c -4)

Part C:

= 4[2(2)-3(-3)-4)]

= 4[4+9-4]

= 4[9]

= 36

Answer:

The value of x is 9.

Step-by-step explanation:

Given that:

Side length of square = x+2

Perimeter of square = 44 cm

As all sides of a square are equal, therefore,

Perimeter of square = 4s

Putting all the values,

44 = 4(x+2)

44 = 4x+8

44-8 = 4x

36 = 4x

4x = 36

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{36}{4}\\x=9[/tex]

Hence,

The value of x is 9.

Answer:

Step-by-step explanation:

power raised to power, you multiply the exponents

=3^-4=1/3^4=1/81

Answer:

1/81

Step-by-step explanation:

3^2 = 9

9^-2 = 1/81

negative exponents move it to denominator

Answer: 2/4 is 1/2   and 2/10 is 2/5 i believe

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Turn 2/4 into 20/40 and 2/10 into 8/40. If you add it it is 28/40. Divide both numbers by 4 and you get 7/10

Answer:

D.117 square in

Step-by-step explanation:

We are given that

Side length of square A=6 in

Side length of square B=9 in

We have to find the area of square C if the tree squares create a right triangle.

By using Pythagoras theorem

[tex](hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2[/tex]

Side of square C

[tex](Hypotenuse)^2=6^2+9^2[/tex]

[tex](Hypotenuse)^2=117[/tex]

[tex]Hypotenuse=\sqrt{117}[/tex]

Now,

The area of square C=[tex](side)^2[/tex]

The area of square C=[tex](\sqrt{117})^2=117 in^2[/tex]

Option D is true.

Answer:

sss

Step-by-step explanation:

sss

fvokfdvik

Answer:

100/w = x

The 100 mm is made up of pennies that have the same width. If you divide the 100 mm by how wide each penny is, you will get how many pennies there are in the stack.

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

3/4 as a decimal is .75 while 5/6 is .833333333.

Answer:

4

Step-by-step explanation:

The value in a set which is most close to the middle of a range.