A math student goes to an office supply store and purchases a total of 16 spirals and pencils. Each spiral costs $3. 50, and each pencil costs $1. 25. If the student spent a total of $29, how many pencils did the student purchase?.

Answers

Answer 1

The student purchase 12 pencils

Let the total number of pencils purchased be xLet the total number of spirals purchased be y

If a math student goes to an office supply store and purchases a total of 16 spirals and pencils, then;

x + y = 16 .................. 1

If each spiral costs $3. 50, and each pencil costs $1. 25 and the student spent a total of $29, hence;

1.25x + 3.5y = 29 ................. 2

Solve both equations simultaneously

x + y = 16 .................. 1 * 1.25

1.25x + 3.5y = 29 ................. 2 * 1

__________________________________

1.25x + 1.25y =  20.

1.25x + 3.5y = 29

Subtract both equations

1.25y - 3.5y = 20 - 29

-2.25y = -9

y = 9/2.25

y = 4

Substitute y = 4 into equation 1:

x + y = 16

x = 16 - 4

x = 12

This means that the student purchase 12 pencils

Learn more on simultaneous equations here: https://brainly.com/question/15165519


Related Questions

what is the vaule of y when x=28

Answers

Answer:

62

Because u do 180-90-28=62

1.25 as a fraction is what

Answers

Answer:

5/4

Step-by-step explanation:

Hi please help !!! With steps as well please!

Answers

Answer:

  a) m = 60°, n = 30°

  b) m = 20°, n = 45°

Step-by-step explanation:

a)

The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.

Angle n is the complement of angle m, so is 90°-60° = 30°

  m = 60°, n = 30°

__

b)

The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)

The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.

  m = 65° -45° = 20°

  m = 20°, n = 45°

_____

Additional comment

The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...

  a + 2b = 180°

  2b = 180° -a

  b = (180° -a)/2 . . . . . . the relation used above

​Mr. Allen says that the equation y=2x+1 has a solution of (4, 9). Is Mr. Allen right or wrong?​

Answers

Answer:

right

Step-by-step explanation:

y=2x+1

9=2(4)+1

9=8+1

9=9

Solve the equation for x.
2(2) + x = 4

Answers

[tex]2(2) +x =4\\\\\implies 4 +x =4\\\\\implies 4 +x -4 = 4-4\\\\\implies x = 0[/tex]

Answer:

x = 0

Solve solution:

Question:

2(2) + x = 4

Multiply:

2 x 2 + x 4

Cancel equal terms:

4 + x = 4

Answer: x = 0

Ursula makes $5 for every 1 dog she walks. In the relationship between dollars earned and dogs walked, ________ is the dependent variable, which is often called ________.

Answers

Answer:

the answer is 6

Step-by-step explanation:

what is the answer for this question 7(x+4)-7=48-2x

Answers

Answer:

x = 3

Step-by-step explanation:

7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side

7x + 28 - 7 = 48 - 2x

7x + 21 = 48 - 2x ( add 2x to both sides )

9x + 21 = 48 ( subtract 21 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Answer: the answer is x=3

Step-by-step explanation:

step 1: distribute the 7 with the parenthesis we get 7x+28-7=48-2x

step 2: subtract 28-7 which gives us 21 now the equation is 7x+21=48-2x

step 3: for the other side which is the 48-2x put the x first so the equation will look something 7x+21=-2x+48

step 4: subtract 21 on both sides 48-21=27 and add 2x on both sides 7x+2x=9x

step 5: 9x=27 now divide both sides by 9 so 27/9= 3

Out of the people who called in during a ratio station poll, 9 out of 25 chose pop as their favorite type of music. 1 out of 5 callers chose rock, 6 out of 75 chose classical, and 18 our of 50 callers chose R&B. Which pair of ratios are equivalent?

Brainliest to a person who gets it right. Need Answer ASAP please!!

Answers

pop and R&B are equivalent ratios!!

Please help
Simplify :3x^5+4x^2-8x^5+3x^2-8x

Answers

Answer:

-5x^5 + 7x^2 - 8x

Step-by-step explanation:

Add like terms:

3x^5 - 8x^5 = -5x^5

4x^2 + 3x^2 = 7x^2

Snefuru’s north pyramid at Dahshur, Egypt, is shown. It’s square base has a side length of 220 m. The height of the pyramid is 105 m. Determine it’s surface area.

The answer is 115,324 m^2, show how you got your answer please. :))

Answers

Answer: 115,324 m^2

Step-by-step explanation:

To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).

In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)

Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.

1/2 (220)(152) = 16,720 m^2

Since there are four triangle faces, we need to multiply this number by four.

16,720(4) = 66880 m^2.

Now we just have to add this to the area of the square base which is:

(220)(220) = 48400 m^2

66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)

At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?

Answers

Answer:

2:3

Step-by-step explanation:

Simply divide each by 10

20/10=2

30/10=3

and your ratio is 2:3

Which of the x-values are solutions to the following inequality?
X < 365

Answers

a and b because both values are less than 365

What is the quotient (91y3 + 21y2 − 35y) ÷ 7y?

Answers

answer:13yexponent2+3y−5

Solve the inequality and graph its solution

Answers

Answer:

Step-by-step explanation:

6.

-4(3+n)>-12

-12-4n>-12

-4n>0

n<0

open circle at 0 and left of 0 on the number line.

8.

-3(r-4)≥0

divide by -3

r-4≤0

r≤4

solid line starting from 4 and extends left .

5.

-b-2>8

-b>10

b<-10

open circle at -10

and extends left.

7.

[tex]4+\frac{n}{3} <6\\multiply~by~3\\12+n<18\\n<18-12\\n<6[/tex]

open circle at 6 and extends left .

Answer:

Hey There~

5) b<-10

From -10 to left

6) n<5

From 4 to 1

7) n<6

From 5 to -2

8) r<=4

From 4 to -4

Answer attached__

Step-by-step explanation:

Hope it helps you ツ

Question in the picture

Answers

Brainliest pleeease!!!!
Ok sooooooo the line is at the y intercept at (0,-50)
And if u choose two points on the graph (solid points) likeeee…. (0,-50) and (20,-30)
Use rise/ run
Soooo u go up two units and right two units soooo 2/2!!! Simplified thats what?? Thats 1!!
And so.
Y=mx+b
Plug in a few numbers….
Y=1x-50
Aaaaand the slope is moooving up (how do I know??) because from the start which is (0,-50) it goes up. So that’s why the 1 is positive. It’d be negative if it’s going the other way.
Sorry if that made no sense but moral of the story, the answer is y=1x-50
50/-100 that would be the answer I’m not sure

A group of ten friends played a number guessing game. They were asked to pick a number between 1 and 20. The person closest to the target
number wins. The ten people made these guesses:
Guess
2
15
10
8
12
19
20
Ол
7
9
9
Absolute Guessing Error
a. The actual number was 14. Which table correctly shows the absolute guessing errors? Select Choice

Answers

Answer:

Step-by-step explanation:

69

Simplify (5^3)^6 leaving your answer in index form.

Answers

Answer:

5^18.

Step-by-step explanation:

By the law of indices:

(a^b)^c = a^(bc)

So (5^3)^6

= 5^(3*6)

= 5^18.

determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)

Answers

Answer:

  C.  (2, 7)

Step-by-step explanation:

It is fairly easy to try the offered points in the equations to see which works.

  A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3

__

  B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6

__

  C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3

(2, 7) is a solution to the system of equations.

_____

If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.

  2x -y = -3

  3x -y = -1

Subtracting the first from the second gives ...

  (3x -y) -(2x -y) = (-1) -(-3)

  x = 2 . . . . . matches choice C

Someone please answer this quickly!


Note: T is the center of the circle.

Answers

Here is my answer. I hope it is helpful.

You are baking a casserole. The recipe calls for of a cup of beans to make 5 servings. How many cups of beans would you need to make 25 servings? Enter your answer.

Answers

Answer:

5 cups

Step-by-step explanation:

the perimeter of a rectangle is 1000m. if the length is given as x , find the width in terms of x

Answers

[tex]\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}[/tex]

If you need 10 cups of flour for every 6 cups of sugar, how much sugar do you need if you have only one cup of flour?

Answers

Answer:

2/3

Step-by-step explanation:

1/(3/4)=4/3(4/3)2.5

10 cups/=3.333

Need help ASAP! Directions in picture;)

Answers

Answer:

x+43⁰+52⁰=180⁰ [being triangle]

x⁰+95⁰=180⁰

x⁰=180⁰-95⁰

x⁰=85⁰

What is the length of side a?








Thank u

Answers

side a is 13 when using the pythagorean theorem

a^2 + b^2 = c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
c = 13

Jossems cell phone cost
him $21 per month plus $3 for every 1GB of data downloaded. what is the limit to the number of GBs he can download to stay within his monthly budget of $30.

Answers

Answer:

Joe can only use 3GB of Data. Bill is 21 .

[tex]21 + 9 + 30[/tex]

[tex]1gb \: \: = 3[/tex]

3*9 = 93 ( 3 ) + 21 = 30

Step-by-step explanation:

Hope this helps !!

cellus
Suppose that y varies directly with x
and y = 3 when x = 9. What is y
when x = 18?
y = [ ?
]


I really suck at these problems.

Answers

Answer:

y = 6 when x = 18

Step-by-step explanation:

The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.

We know y = 3 when x = 9:  3 = k(9)

This yields k = 3/9, or k = 1/3

Then the formula is y = (1/3)x

and when x = 18, y = (1/3)(18) = 6

y = 6 when x = 18

30 points.

the midpoint of AB is (4,8) and the coordinates of point A are (-6,4) what are the coordinates of point B?​

Answers

Answer:

  B = (14, 12)

Step-by-step explanation:

As you know, the midpoint is the average of the end point coordinates:

  M = (A +B)/2

Solving for B gives ...

  2M = A + B

  B = 2M -A

  B = 2(4, 8) -(-6, 4) = (8+6, 16 -4)

  B = (14, 12)

The follow through is where you "pause" and hold the bow still for a few seconds after releasing the arrow.
True or false

Answers

True-... i think because like i am not sure-

Evaluate –10 • x • 5 when x = –1.


–50


–15


6


50

Answers

The answer is 50 ! :-)

can someone plz help with math?!

Answers

Answer:

1. L = 3D +59

2. 158 miles

Step-by-step explanation:

For the second part:

Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.

Other Questions
2. An object is falling under gravity with terminal velocity. What is happening to its speed?A. It is decreasing to a lower value.B. It is increasingC. It is decreasing to zero.D. It is staying constant. solve the following quadratic equation 22-x=21 How many molecules are in 10 grams of sulfur hexafluoride (SF6)? Molar Mass: 146.06 g/mol I need help with this. which is past, future, present Fill in the blank with the spanish word that best completes the following sentence. La ____________ es la mayor riqueza. Salud palabra mejor cara. original price of a cd is 12.50. what is the price with a discount of 39% 10.) *12Sam ate 2/8 a pizza for dinner.Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is leftpizza for lunch the next day. Howmuch pizza is left D D 4) After making an observation, what does a scientist ask?What if I don't clean my room?Are all doctors scientists?A problem question.What did someone else say about the same topic?Who might disagree with me? 3. Segment GE is an angle bisector of bothangle HEF and angle FGH. Prove triangle HGE iscongruent to triangle FGE.FHG What is a target audience? Learning Task 1:Look for 5 words related to occupational health and safety. Read the text and write seven the questions.My family is very fond of fi shing. Its a tradition in our family to go fishing once a month. We really like spending our free time outdoors. My friends think that this is anunusual tradition. They think they are not patient enough to do it. Some even say that fi shing is boring. I think they are wrong.We get to the lake early in the morning. First we go to our spot and get ready. Then we take our fi shing rods and cast them. We love coming early in the morning so thatwe can admire the sunrise. The silence around us brings so much peace. When one of us catches the first fish, we wink at one another. We call it the good luck wink. After that each of us always catches fish.Sometimes we organize fishing competitions. Last time I was the winner. I caught thebiggest fish. My father said he had never caught such a big fish. My mother said that I was a great fi sherman. I think my brother was a little bit upset. He was a little jealous at first. Then he told me I had done a great job. I know that I was just lucky that time. What I love most about our family is that we always stick together and support one another. Fishing is a possibility to be together and admire the beauty of nature.There is something that bothers us. All the time we get there we fi nd a lot of litter. We really cannot understand why people are so irresponsible. It is our duty to preserve nature, not to destroy it. We always clean the place. But every time we get back there we fi nd it dirty. This makes me very sad.TREBUIE SA ALCATUIESC 7 INTREBARI 1. List the ketose carbon(s) that is(are) reduced with NaBH4. Ms.Gmez ran 3/5 of a mile in 5 minutes. Mr. Hernndez ran 3/5 of a mile in 3 minutes. How far did Ms gomez and mr Hernandez each run in 1 minute?Show work or explain What is the least common denominator of this equation 19. A beach ball is rolling in a straight line toward you at a speed of 9 m/sec. Its momentum is 3 kg'm/sec.What is the mass of the beach ball? moss - 0.33aroto from 10mle to speed of 14 m/s The mass of the bicycle What is the estimated difference between 7 6/115 13/15?NO LINK OR FILESSSS PLZZZZZZZZZZZZ why does tim burton use high key lighting How do Maria Elisa's and Mami's views on money compare?