Joe bought 15 items for $135. If the 15 items consisted of notebooks that cost $4.50 each and calculators that cost $12.00 each, how many of each did he buy?

Answers

Answer 1

n + c = 15

4.5n + 12c = 135

c = 15 - n

12c = 180 - 12n

180 - 12n + 4.5n = 135

-7.5n = - 45

15n = 90

notebook = 6

6 + c = 15

calculator = 9


Related Questions

Can anyone please help me with this? I need help really soon!

Answers

Answer:

(x,y)=(19/5,-6/5) I'm not sure it's right, but hopefully it is

1/2+2/3 PLEASE HELP AND DONT DO IT LIKE 1.083333333 MY TEACHER DOESNT ALLOW THAT PLEASE HELP ME

Answers

Answer:

7/6 or 1 1/6

Step-by-step explanation:

when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6

1/2=3/6

2/3=4/6

add the numerators and keep the denominator 6

4+3=7

7/6 or 1 1/6

Test Direction: Find the measure of <s. Write the answer on the space provided. ​

Answers

Answer:

16. 40°

17. 40°

18. 50°

19. 45°

20. 135°

Step-by-step explanation:

16. angles opposite to each other are equal

17. 180 - 140 = 40

18. 90 - 40 = 50

19. 65 + 70 = 135

180 - 135 = 45

20. 145 + 80 = 225

360 - 225 = 135

hope this helps :)

If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x) - g(x)?

Answers

Answer:

4

Step-by-step explanation:

ㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇ

Calculate the equation of the following line.

Answers

Answer:

point-slope form: [tex]y+1=\frac{-3}{2}(x-3)[/tex]

slope-intercept form: [tex]y=\frac{-3}{2} x+\frac{7}{2}[/tex]

Step-by-step explanation:

find the slope of the line using two points on the graph, and then you can get your equation in point-slope form. if you need it in slope-intercept form, you can re-arrange your point-slope form equation.

hope this helps :)

what is the sum of the measures of the exterior angles of a decagon?

Answers

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

sum of exterior angles of decagon = 360°

In the figure shown below all angles are right angles are right angles and the side lengths given are in yards what is the area in square yards of the figure? Please explain to me im confuse I got 134 and it's wrong

Answers

Answer:

98

Step-by-step explanation:

4 * 2 = 8

9 *  10 =  90

90 + 8 = 98

help! needed urgently, thanks

Answers

We know that there are 99 students in total. He already entered the marks of 9/11 of the students. We need to find out how many students’ marks have not been entered yet.

We can multiply 99 by 9/11. This gives us 81. We now need to subtract 99 from 81. This gives us 18.

He has not entered the marks of 18 students.

Simplify to a single power of 4:

Answers

Answer:

[tex]4^8[/tex]

Step-by-step explanation:

Formula: [tex](a^b)^c = a^{bc}[/tex]

Solve:

[tex](4^2)^4[/tex][tex]4^{2*4}[/tex][tex]4^8[/tex]

-Chetan K

Graph the line that passes through the points (0,-5) and (-5,_6)

Answers

Answer:

Step-by-step explanation:

First find the slope(m) between (0,-5) and (-5,-6)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{-6-(-5)}{-5-0}[/tex] = [tex]\frac{-1}{-5}[/tex] =    [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex]x -5

I attached the graph. I used desmos.

Hope that helps!

20) A school orders 26 packs of pencils. Each pack contains 12 boxes of 12 pencils. The
pencils are to be shared equally among the 14 classes in the school. To the nearest whole
number, how many pencils will each class be given?

Answers

Answer:

266

Step-by-step explanation:

26*12*12/14

sounds

Write the equation of the line in slope-intercept form.


the question is 80y and 8x

The equation of the line in slope-intercept form is

Answers

Answer:

Y =mx/10+c/80

Point(8x, 80y) lies on Y =mx +c

Help me to answer this pls ​

Answers


To convert celsius to Fahrenheit:
=》(0°C × 9/5) + 32 = 32°F

To convert Fahrenheit to celsius:
=》(32°F − 32) × 5/9 = 0°C

To convert kelvin to celsius:
=》 C = K - 273.15.

To convert Fahrenheit to kelvin :
=》°F = (K − 273.15) × 9/5 + 32.

Using these formulas,

1) 38°C
= (38°C × 9/5) + 32
= 100.4°F

2) 313 K
= 313K − 273.15
= 39.85°C

3) 85°F - 69°F
= 16° F ------> difference
In celsius :
= (16°F − 32) × 5/9 =
-8.889°C

4) At 3 p.m = 13°F
If temperature increases by 2°F,
At 5 p.m =》
13 + 4
= 17°F

5) 55°F - 5
= 50°F
In kelvin :
(50°F − 32) × 5/9 + 273.15
= 283.15K


Hope it helps ⚜

Bob rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 80 cents for each mile driven. Bob had to pay $114.19 when he returned the truck. For how many miles did he drive the truck?​

Answers

Answer:

124 miles

Step-by-step explanation:

$14.99 + ($0.80 x m) = $114.19 (where m is miles driven)

$0.80m = $99.20

m = 124

help me with geometry please

Answers

Answer:

44

Step-by-step explanation:

angle a is congruent with d so they have the same angle

i) How do you find the sum of the angle measures of any convex polygon?

ii) If the polygon is regular, how do you find the measure of each interior angle in the polygon?

iii) How do you find the sum of the exterior angle measures of any convex polygon?

iv) If the polygon is regular, how do you find the measure of each exterior angle in the polygon?

Answers

Answer:

1) The sum of interior angles of a convex polygon is equal to (n-2) × 180°, where 'n' is the number of sides of the polygon.

2) A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

4) Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.

Step-by-step explanation:

I hope this helps!!

Help me pleaseeee! I beg u

Answers

Answer:

look at the pictures

Step-by-step explanation:

What’s the answer in neeeeeeeeed it………

Answers

Answer:

10x

Step-by-step explanation:

0.25(2/3y-5+1/3y-7-9y)=0.25

Answers

y = -1.625 sorry if its incorrect, hope it helps tho!

If √(2x+3) =√(2x+33) which is the correct solution *
9
8
6​

Answers

Answer:

No solution

Step-by-step explanation:

(√(2x+3))^2 =(√(2x+33))^2

2x+3 = 2x+33

help!!!!!!!! pls!!!!!

Answers

5;7
10;14
Basketball and friends

Is 1.24 a rational number?

Answers

Answer:

YES

Step-by-step explanation:

Q25. The floor of a hall is completely covered by 26 carpets, each
measuring 4m in length and 3m in breadth. What is the area of the
of the hall?

Answers

Answer:

[tex]276m^{2}[/tex] total area. 78m breadth.

Step-by-step explanation:

First, do 4 multiplied by 3 to find the area of one carpet. The answer is 12m. Then, do 12m multiplied by 23 to get the total area. The answer will be 276m squared. If you want to find width then do 3m multipled by 26 which is 78m.

2 people share 3 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?

Answers

Answer:

1.5 Pieces

Step-by-step explanation:

If you divide 3 chocolate bars by 2 people it will evenly be distributed by 1.5

Answer:

Just divide it.

Step-by-step explanation:

Take each bar height as 10. There are 3 bars. So the total height is 30. But there is 2 persons, so dividing it will result 15. So according to this assumed answer, I will say you will have to do this :

Give one bar to each of them and the bar should be divided in half, provided that  two parts should be there as well as both parts of it should be 5 in height.

So, the upper part was an assume. This time, you mentioned no heights, so I will do it with equation process.

(meaning of each variable)

people = x

chocolate bar = 3

2x ( since 2 people) = 3 ( three chocolate bars )

2x=3

x=3/2

x=1.5 ( one and half )

I hope you understand.

pls explain this to me I don't get it​

Answers

Answer:

u divide all numbers by 1000

Step-by-step explanation:

find the area and perimeter of sector OAB given that angle AOB is 60 degrees and the radius of a circle is 21cm​

Answers

Answer:

Step-by-step explanation:

Perimeter of a sector

The circumference of a circle is 2 pi r.

pi = 3.14

r = 21 cm

The angle of this particular sector is 60 degrees.

So the formula for this sector is P = 2*r + 60/360 * 2* pi * r

Now all you need do is plug the numbers in.

P = 2 * 21 + 1/6 * 2 * 3.14 * 21

P = 42 + 21.98

P = 63.98

Area of the sector

Area of a circle = pi * r^2

Area of a sector = theta / 360 * pi * r^2

theta = 60 degrees

area of this sector = (60/360) * 3.14 * 21^2

Area of this sector = (1/6) * 3.14 * 441

Area of this sector = 230.79

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

Given :-

We have given that, Angle AOB is 60° The radius of the circle is 21cm

To Find :-

We have to find the area and perimeter of the sector OAB

Let's Begin :-

We have ,

Two radii of the circle OA and OB = 21 cm each [tex]\bold{\angle{ AOB = 60° }}[/tex]AB is the segment of the circle

We know that,

[ Perimeter of sector = Arc length + radius + radius ]

[tex]\bold{\blue{ Perimeter \: of \: Sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× 2πr + r + r }}}[/tex]

Subsitute the required values in the above formula :-

Length of the arc of OAB

[tex]\sf{=}{\sf{\dfrac{ 60°}{360°}}}{\sf{×2πr + 2r }}[/tex]

[tex]\sf{=}{\sf{\dfrac{ 6}{36}}}{\sf{×2×21π + 2 × 21 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{6}}}{\sf{ × }}{\sf{\dfrac{22}{7}}}{\sf{× 42 + 42 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{ × }}{\sf{\dfrac{11}{7}}}{\sf{ × 42 + 42 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{× 11×6 + 42 }}[/tex]

[tex]\sf{ = 11 × 2 + 42 }[/tex]

[tex]\sf{= 22 + 42 }[/tex]

[tex]\bold{\red{= 64 \: cm}}[/tex]

Thus, The perimeter of the sector OAB is 64 cm

Now,

We have to find the area of sector OAB

We know that,

[tex]\bold{\blue{ Area \: of \: sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× πr² }}}[/tex]

Subsitute the required values in the above formula :-

Area of sector OAB

[tex]\sf{=}{\sf{\dfrac{60°}{360°}}}{\sf{× πr² }}[/tex]

[tex]\sf{=}{\sf{\dfrac{6}{36}}}{\sf{× π × 21 × 21 }}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× π × 21 × 21 }}[/tex]

[tex]\sf{=}{\sf{\dfrac{1 }{6}}}{\sf{× 441π}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 441 × }}{\sf{\dfrac{22}{7}}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{ × 63 × 22}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 1386 }}[/tex]

[tex]\bold{\red{= 231 \: cm²}}[/tex]

Hence, The area and perimeter of the sector OAB is 64 cm and 231cm²

What is sector?

Sector is nothing but the portion covered by the two radii of the circle For example, In the given circle OAB is sector as it is enclosed by two radii OA and OB.

Please someone please help me.

Answers

Answer: B

Step-by-step explanation:

The parking garage at the airport has 4750 empty parking spaces and 250 full parking spaces. What percent of the spaces in the garage are empty write your answer using a %

Answers

Answer:

I'd say around 95% or 94.737%

Step-by-step explanation:

4750 - 250 = 4500

4750/250 = 1/19

1/19 = 0.052 or close to 5%

4750 x 94.737% = 4500.0075

I hope this helps!

Need the answer pls help

Answers

Answer:

A = (-4, -6)

B = (-2, -2)

C = (-6, -4)

Robyn saves $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each.

Which answer gives the best estimate for the number of books Robyn can buy?

Answers

Answer: umm I think the best estimate would be$37.38

Step-by-step explanation:

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