Stephen buys x pencils and y notebooks for his students. Each pencil costs $0.45 and each notebook costs $1.25. He buys a total of 210 pencils and note books for 142.50$. How many pencils did Stephen buy?

Answer:
Stephen bought 96 pencils.
Explanation: 142.50 divided by 1.25 equals 114. 210-114= 96. Hope this helps :)

Step-by-step explanation:

janine is running 10 kilometer per 60 minutes

means janine runs 1 km in

=60/10

=6

since,Janine runs 1 km per 6 minutes

how much time does janine takes to run 15 km

=15 ×6

=90

Therefore Janine takes 90 minutes to run 15 km ie1 hour 30 minutes

Answer:

+ 7 d - 7

7 d2 + d + 1

Step-by-step explanation:

+ 7 d - 7

7 d2 + d + 1

Answer:do 142 times 20 which is 2840 times 0.35 which is 994 I think not sure

Step-by-step explanation:

Answer:

Total number of customers = 143/35% = 409 approximately

Step-by-step explanation:

If the trend did not change yesterday, we estimate that 143 customers constitute 35% of the total number.

So

Total number of customers = 143/35% = 409 approximately

Using your vehicle with other people in order to share the expense of traveling to work, it is called: C. Carpooling.

Carpooling can be described as when two or more people share a one vehicle together to travel to a destination, thereby reducing cost by sharing the cost of fuel, tools, and other expenses associated with driving.

Thus, if you are using your vehicle with other people in order to share the expense of traveling to work, it is called: C. Carpooling.

Learn more about carpooling on:

https://brainly.com/question/1060521

2-1/4 is just 2. (-1/4)

And it is equals to -1/2

Answer:

A. 4 inches

Step-by-step explanation:

Applying,

P = 2(L+W)............. Equation 1

Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.

make W the subject of the equation

W = (P/2)-L............ Equation 2

From the question,

Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches

Substitute these values into equation 2

W = (32/2)-12

W = 16-12

W = 4 inches.

Hence the right option is A.

Answer:

-4

Step-by-step explanation:

hope this helps

have a great day/night :)

Answer:

[tex]s=20[/tex]

Step-by-step explanation:

By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two, opposite interior angles.

In other words:

[tex]4s=(3s-20)+(2s)[/tex]

Solve for s. Combine like terms:

[tex]4s=5s-20[/tex]

Subtract 5s from both sides:

[tex]-s=-20[/tex]

And divide both sides by negative one. Therefore:

[tex]s=20[/tex]

Answer:

24ft,36ft2

The perimeter is the sides multiplied by 4 and area is the square of sides the larger the sides the larger the perimeter and area

Step-by-step explanation:

Perimeter = 6*4= 24feet

Area=          6*6= 36feet2    

Answer:

below

Step-by-step explanation:

base * height = area of a parallelogram

7/2 × 3/4

=21/8 feets

Answer:

100,000,000,000.90987

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  -√((2+√2)/(2-√2))

Step-by-step explanation:

5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...

  [tex]\displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}[/tex]

_____

Additional comment

This simplifies to -(1+√2). Your calculator can verify the choice for you.

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH UNTO YOU

Answer:

132 people bought balcony seats and 450 people bought ground seats.

Step-by-step explanation:

We want to solve the system of equations:

[tex]\left\{ \begin{array}{ll} 15b+10g=6480 \\ b+g=582 \end{array} \right[/tex]

We can solve this by using substitution. From the second equation, we can subtract b from both sides:

[tex]g=582-b[/tex]

In the first equation, we can divide both sides by five:

[tex]3b+2g=1296[/tex]

Substitute:

[tex]3b+2(582-b)=1296[/tex]

Distribute:

[tex]3b+1164-2b=1296[/tex]

Simplify:

[tex]b+1164=1296[/tex]

Solve for b:

[tex]b=132[/tex]

Using the modified equation again, substitute:

[tex]g=582-(132)[/tex]

Evaluate:

[tex]g=450[/tex]

Therefore, 132 people bought balcony seats and 450 people bought ground seats.

Answer:

Solution given:

A(x1,y1)=(-4,-4)

M(x,y)=(-7,1)

N(x2,y2(x,y) let

we have

midpoint(x,y)={(x1+x2)/2,(y1+y2)/2}

(-7,1)={(-4+x)/2,(-4+y)/2} comparing corresponding value

-7=(-4+x)/2

-14=-4+x

x=-14+4

x=-10

and

1=(-4+y)/2

2=-4+y

y=4+2

y=6

coordinates of N is (-10,6)

Answer:

=y-intercept

Step-by-step explanation:

Y intercept is 275 and x intercept is 125. Look at the line and whenever it touches the y-axis, that is your y intercept and vice versa for x axis.

Answer:

D

Step-by-step explanation:

Stan works for 28 hours and gets paid $12 for each hour, so the amount of money he gets in total is $12*28 = $336.

Given:

The two points C(2,-1) and D(5,3) on a coordinate plane.

To find:

The distance from C to D.

Solution:

The distance between two points is defined by the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The two points are C(2,-1) and D(5,3). Using the distance formula, we get

[tex]CD=\sqrt{(5-2)^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(3)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(3)^2+4^2}[/tex]

On further simplification, we get

[tex]CD=\sqrt{9+16}[/tex]

[tex]CD=\sqrt{25}[/tex]

[tex]CD=5[/tex]

The distance from point C to D is 5 units. Therefore, the correct option is A.

Answer:

14√3, 10.4

Step-by-step explanation:

1) x = a√3 = 14√3    30-60-90 triangle formulas

2) 18 = a√3              30-60-90 triangle formulas

a = 18/√3

x = a = 18/1.7

x = a = 10.4

Answer:

19

Step-by-step explanation:

6×(6+14) = 5×(5+z)

120 = 25 + 5z

95 = 5z

z = 19

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope of a perpendicular line just calculate the anti-reciprocal of 2

Slope of the perpendicular line: [tex]-\frac{1}{2}[/tex]

The equation would be:

[tex]y=-\frac{1}{2} x[/tex]

Answer:

x<3

Step-by-step explanation:

Answer:

7x-6 = 4x+3

7x-4x=3+6

3x=9

X=9/3

X= 3

Answer:

The tip would be $1.44, so the total would be $13.44

Step-by-step explanation:

To find the tip you take the bill ($12), and multiply it by the percent of tip given (12%), but it has to be in decimal form. 12% in decimal form is .12. 12 times .12 is 1.44. Add $12 to that to get $13.44.

Answer:

Step-by-step explanation:

You could do this a couple of ways. The first and easiest is to change 12% to a decimal. 12% = 12/100 = 0.12

Add this onto 1.

1 + 0.12 = 1.12

Multiply this number by

12*1.12 = 12(1 +0.12)     Remove the brackets

12*1  + 1.44

Haircut + tip = 13.44

Of course, it would be much shorter to do it 12*1.12 = 13.44

Answer:

top right

Step-by-step explanation:

Answer:

Solution given;

angle =270°

radius [r]=8cm

we have

length of arc =270°/360°×2×π*r

=270°/360°×2×3.14*8=37.68cm

length of the arc is 37.68cm.

Answer:

(x+3)² + (y-2)² = 16

Step-by-step explanation:

the equation of a circle is

(x-a)² + (y-b)² = r²

with (a,b) being the center, and r the radius.

Answer:

1277.5

Step-by-step explanation:

365 days in a year. If he walks daily 3.5 miles, then 3.5*365

3.5*365= 1277.5

Answer:

The same as

Step-by-step explanation:

When writing coordinates₋₋also known as "points" on a coordinate plane₋₋you write it as (x point,y point) more simply written as (x,y).

So in both tables, you can see that there are several coordinates listed. Each with the same format (x,y).

If you compare the two tables, you can see that the numbers in the (x,y) position are the exact same for corresponding coordinates.

Now you can conclude what the answer is:

The x-coordinates in Table A are the same as the x-coordinates in Table B.

Answer:

3/10

Step-by-step explanation:

Of means multiply

2/5 * 3/4

Rewriting

2/4 * 3/5

1/2*3/5

3/10

Answer:

x = 50°

Step-by-step explanation:

x + 20° + 30° = 180°

x = 180° - 20° - 30°

x = 130°                   (This one is other x)

x + 130° = 180°

x = 180° - 130°

x = 50°