David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Answer:

The volume of the solid figure = Volume of the first cuboid + Volume of the second cuboid

The volume of the solid figure = 15×5×5 + 5×5×10

Or, The volume of the solid figure = 375 + 250

Or, The volume of the solid figure = 625 inch³

Therefore, the volume of the solid figure = 625 inch³

Step-by-step explanation:

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Answer:  B. 30 square units

Step-by-step explanation:

Area of triangle formula is base x height divided by 2 so we do 15 * 4 = 60/2 = 30 units

Answer:

3 - 151 x

Step-by-step explanation:

d/dx(5×3 x - 10×15 x - 3 x - 10 x - (3 x - 3)) = -151

Indefinite integral:

integral(3 - 151 x) dx = 3 x - 75.5 x^2 + constant

Definite integral after subtraction of diverging parts:

integral_0^∞ ((3 - 151 x) - (3 - 151 x)) dx = 0

Answer:

a good student someone that pays attention in class and studies. If they do the work, study and pay attention there should be no issues. most teachers like students like that and the should be able to pass the class.

Answer: x - 16

Step-by-step explanation:

Since there were x cupcakes at the beginning of a party and at the end of the party, 16 of them had been eaten, the expression for the number of cupcakes that were left will be gotten by subtracting the number of cupcake that have been eaten from the cupcakes at the beginning. This will be:

= x - 16

For example, if there were 20 cupcakes at the beginning and 16 was eaten, the number left will be:

= x - 16

= 20 - 16.

= 4

There'll be 4 left

11 × 11 × 11 × 11 × 11 × y × y × y = 11⁵y³

Or, if you meant

11 × 11 × 11 × 11 × 11 × y X y X y = 11⁵X²y³

It says use the substitution method, so you would take the bottom equation, and since it says that x is equal to that, you would use that equation in place of the x in the top equation. so it would be 9y = 3(3y+3) - 9. You then distribute the 3 into the 3y +3, which gets you 9y = 9y + 9 - 9, which is also 9y=9y. Subtract 9y to get 0 = 0, which just means that there are infinite solutions to this equation. Whenever you get 0 = 0, all that means is that there are infinite solutions to this particular set of equations. Hope this helped!

Answer:

y=y

x=3y+3

Step-by-step explanation:

[tex]\left \{ {{9y=3x-9} \atop {x=3y+3}} \right.[/tex]

[tex]9y=3x-9[/tex]

Plug the second equation [tex]x=3y+3[/tex] into the above equation as x

[tex]9y=3(3y+3)-9[/tex]

Open up the brackets

[tex]9y=3(3y+3)-9\\9y=9y+9-9\\9y=9y\\y=y[/tex]

This system of equations has infinitely many solutions.

When graphed, the two lines will overlap each other.

Therefore, y=y and x=3y+3.

I hope this helps!

Answer:

33°

Step-by-step explanation:

have a nice day!! :)

Answer:

84

Step-by-step explanation:

Answer:

30 in²

Step-by-step explanation:

A=(b1+b2)h/2

A=(10+5)4/2

A=(15)4/2

A=60/2

A=30 in²

Answer:

Hello! I believe its 30

Triangle to the left I did 4 x 3 = 12 ÷ 2 =6

Triangle to the right I did 2 x 4 = 8 ÷ 2 = 4

Then I did square in the middle so 5 x 4 = 20

Now i add these up 20 + 6 + 4 = 30

Hope this helps!

Answer:

B

Step-by-step explanation:

I'm pretty sure its b because its ratio matches the (4,2)

Answer:

B'

Step-by-step explanation:

Answer:

A. 9

Step-by-step explanation:

Triangle Inequality:  the lengths of any two sides of a triangle add up to more than the third side.

B. 10 can't be the answer because the 4 cm and 6 cm sides would just meet at a point on the 10 cm sides.

C. 11 and D. 12 can't be answers because the 4 cm and 6 cm sides would not meet (kind of like windshield wipers that are too short).

Answer:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

Step-by-step explanation:

Here's a primer on how the dimensions play out at every level, from high school football to the NCAA and on up to the NFL. There are two constants, across the level of competition: 120 yards (360 feet) of length and 53 1/3 yards (160 feet) of width.

i think this is what your looking for?!

Answer: 15:8

Step-by-step explanation:

Acacia leaves= 15 bags

Eucalyptus leaves=8 bags

A ratio compares two amounts and uses a :

We are comparing acacia leaves bags to eucalyptus leaves bags

So-

15:8

We cannot simplify any more, so keep 15:8.

Answer:

4 mph

Step-by-step explanation:

Let :

Boat speed = 20 mph

speed of current = x mph

Distance against current = 2 miles

Distance with current = 3 miles

speed against current will be ; 20 - x

speed with current will be ; 20 + x

Time =distance / speed against time against = time with current

Solving Mathematically ;

2/(20-x )=3/(20 +x)

2(20+x )= 3( 20-x )

40+2x = 60-3x

3x +2x=20

5x=20

x = 20 / 5

x = 4 mph

Speed of current = 4 mph

Answer:

222! thats your answer!

Step-by-step explanation:

Answer:

2 batches

Step-by-step explanation:

Answer:

if the cubes were hidden, but I belive the answer is none

Step-by-step explanation:

Answer:

Yes it is B when looking at it from top view thats what it comes out to look like great job.

Answer:

no

Step-by-step explanation:

9x12=108

108 square feet so not enough paint.

needs more paint that covers 4 square feet

Answer:

63

Step-by-step explanation:

If you put them from least to greatest order you cross out from both ends until you get to the middle, in that case I got to the middle in between 63 and 63 so you can go in between them so your answer is 63

Answer:

d

Step-by-step explanation:

d

dkimiunuhbubhwswdqwduoewdWEC W vcuuhdcosv

Answer:

10 sides.

Step-by-step explanation:

Two same interior angles + 72 degrees = 360.

Thus, the interior angle of the polygon is [tex]\frac{360-72}{2} =144[/tex].

The formula to find the interior angle of a polygon is [tex]\frac{180(n-2)}{n}[/tex]

[tex]\frac{180(n-2)}{n} =144[/tex]

Multiply both sides by n:

[tex]\frac{180\left(n-2\right)}{n}n=144n[/tex]

[tex]180\left(n-2\right)=144n[/tex]

Expand:

[tex]180n-360=144n[/tex]

Add 360 to both sides:

[tex]180n-360+360=144n+360[/tex]

[tex]180n=144n+360[/tex]

Subtract 144n from both sides:

[tex]180n-144n=144n+360-144n[/tex]

[tex]36n=360[/tex]

Divide both sides by 36:

[tex]\frac{36n}{36}=\frac{360}{36}[/tex]

[tex]n=10[/tex]

Answer:

A

Step-by-step explanation:

according to tangent property

we get

Given that

Thus our equation is

[tex] \rm \displaystyle 2AM + 2AN + 2BK = 34[/tex]

substitute the given values

[tex] \rm \displaystyle 2.6+ 2AN+ 2.4 = 34[/tex]

simplify multiplication:

[tex] \rm \displaystyle 12+ 2AN+ 8 = 34[/tex]

simplify addition:

[tex] \rm \displaystyle 2AN+ 20= 34[/tex]

cancel 20 from both sides:

[tex] \rm \displaystyle 2AN=14[/tex]

divide both sides by 2:

[tex] \rm \displaystyle AN=7[/tex]

AN=CN

hence,CN=7

therefore our answer is A

Answer:

$21.75

Step-by-step explanation:

Divide $7.25 by 4 then multiply what you get from that by 12

Answer: The mean is 6.

Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.

Answer:

6.

Step-by-step explanation:

First you take the data on the dot plot, and write the numbers down from least to greatest.

The data set:

2,3,6,6,7,8,8,8

Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.

2+3+6+6+7+8+8+8=48

Next we count all the number in the data set we made.

2,3,6,6,6,7,8,8,8 = 8

The amount of numbers in this data is 8.

Lastly we then divide 48 by 8.

48/8= 6

So your answer is 6!