Shandra is on vacation and wants to buy souvenirs for at least eight friends. A postcard book costs $2.50 and a magnet costs $4.00. She can spend up to $30 all together. Which system of inequalities represents the situation?

Answers

Answer 1

Answer:

[tex]2.5p + 4m \leq 30[/tex]

Step-by-step explanation:

Given

Poster = $2.50

Magnet = $4.00

Amount = Up to $30

Required

Determine the inequality

Represent posters with p;

This implies that she can buy 2.50p worth of posters

Represent magnets with m

This implies that she can buy upto 4m worth of magnets

The question says she can spent up to $30;

This implies that she can spend at most $30 and this can be mathematically represented as [tex]\leq 30[/tex]

Bringing the parameters together; we have

[tex]2.5p + 4m \leq 30[/tex]

Answer 2

The system of inequalities that represents the situation is [tex]2.5x+4y\leq 30[/tex] and this can be determined by using the given data and arithmetic operations.

Given :

A postcard book costs $2.50 and a magnet costs $4.00.Shandra can spend up to $30 all together.

Let the total number of postcards be 'x' and the total number of magnets be 'y'. The following steps can be used to determine the inequalities that represent the situation:

Step 1 - Multiply 2.5 with x.

2.5x

Step 2 - Multiply 4 with y.

4y

Step 3 - Now, add the above two expressions.

2.5x + 4y

Step 4 - Now, apply the inequality.

[tex]2.5x+4y\leq 30[/tex]

The system of inequalities that represents the situation is [tex]2.5x+4y\leq 30[/tex].

For more information, refer to the link given below:

https://brainly.com/question/13101306


Related Questions

Ms. G, Mr. Adams, and Ms. Leahman are going for a bike ride together on Saturday. They want to meet each other in the city but they all live in Bedstuy. Ms. G and Ms. Leahman have to bike 4 miles there, Mr. Adams is 5 miles away. They meet each other in the city and bike 2 miles together. Then they all return home the same way. How many miles did they all bike in total on Saturday?

Answers

Answer: 22 miles

Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:

4 miles to go to the city;

2 miles with Mr. Adams;

4 miles back to Bedstuy;

Then, both biked:

4 + 2 + 4 = 10 miles

Now, Mr. Adams bikes:

5 miles to go to the city;

2 miles together with the other two;

5 miles back to Bedstuy;

Then, he biked, in total:

5 + 2 + 5 = 12miles

So, the three of them biked, in total:

10 + 12 = 22

On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.

Given: g(x) = 3x² + 2 and h(x) = 2x + 2
Find: g(h(x))

Answers

Step-by-step explanation:

g(x) = 3x² + 2

h(x) = 2x + 2

g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2

= 3[4x² + 8x + 4] + 2

= 12x² + 24x + 12 + 2

= 12x²+ 24x + 14

8 is added to the square of a number.

Answers

Answer:

x^2+8

Step-by-step explanation:

determine which of the following relation is a function

Answers

I don’t see the math equation

Answer: IT is A and C

Evaluate the expression for a = 3, b = 2, and c = 4. Write in simplest form.

Answers

Hello There!

Write out your equation:

Substitute the values in:

Simplify:

Solve:

It is 6.25.

Therefore, your answer is 6 1/4.

Hope This Helps You!

Good Luck :)

what is the irrational number between 2.8888... and 2.9999...?

Answers

Answer:

[tex]\sqrt{8.5}[/tex]

Step-by-step explanation:

[tex]\sqrt{8.5}=2.9154759474226502354370764387727915382606991674429859772250...[/tex]

that's clearly between 2.888888.... and 2.999999....

Duval scored 10 more than 2 times the number of points scored by a
player, x. Which equation shows the number of points, y, Duval scored?

Answers

Answer:

2x + 10 = y

Step-by-step explanation:

The term 10 more is plus 10, and 2 times the "number" which we know we can label as "x". 2x + 10 is the equation and we are told that y is the number of points so 2x + 10 = y is the answer.

Hope that helps, and have a great day!

Subtract 3x^2 + 8x from -9x^2 +3x -8

Answers

Answer:

[tex] \boxed{ \bold{ \huge {\boxed{ \sf{ - 12 {x}^{2} - 5x - 8}}}}}[/tex]

Step by step explanation

[tex] \sf{ - 9 {x}^{2} + 3x - 8 - (3 {x}^{2} + 8x)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} + 3x - 8 - 3 {x}^{2} - 8x}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} - 3 {x}^{2} + 3x - 8x - 8}}[/tex]

[tex] \dashrightarrow{ \sf{ - 12 {x}^{2} - 5x - 8}}[/tex]

Hope I helped!

Best regards!

PLEASEEE HELP MEEE!❤️

Answers

The answer is f(x)= √ 9-x^2 (option number three). I hope this helps :)

. Find the distance between (−4,−1) and (−2,−3).

Answers

Answer:

2.83 units

(results are in decimal form, rounded to the nearest 100th)

ONLY DO #10-29

13 points!! WILL MARK AS BRAINLIST

Answers

does #13 have a division sign?

Answer:

same as ramen said #13

hope you pass♡

The quotient of six and the sum of a number and eight

Answers

Answer:

6

——

x+8

Step-by-step explanation:

The quotient of six (6) and the sum of a number and eight (8) is equal to  [tex]\frac{x + 8}{6}[/tex]

Let the unknown number be x.

In Mathematics, quotient simply means to divide a number by another number without any remainder.

Translating the word problem into an algebraic expression, we have;

The sum of a number and eight = [tex]x + 8[/tex]

Quotient of six (6) and the sum of a number and eight (8) is equal to;

[tex]\frac{x + 8}{6}[/tex]

In conclusion, the quotient of six (6) and the sum of a number and eight (8) is equal to  [tex]\frac{x + 8}{6}[/tex]

Find more information: brainly.com/question/21449543

A T-shirt shop charges $15 for an adult shirt and $12 for a youth shirt. The total charge for a shirt order was $489.
Which equation can be used to represent x, the number of adult shirts sold and y, the number of youth shirts sold?
12x + 15y = 489
27x + 15y = 489
15x + 12y = 489
15x + 3y = 489

Answers

Answer: C. 15x + 12y = 489

Step-by-step explanation: Got it right on edge test

Answer:

C

Step-by-step explanation:

15x+12y=489

|wz| – |xy| when w = –4, x = 2, y = , and z = –6.

Answers

Answer:

Answer= 23

Step-by-step explanation:

The problem would look like this: |(-4)(-6)| - |(2)(1/2)|

if solved it should look like this: |24| - |1|

which is: 24 - 1 = 23

Solve the formula C = rd for d.
O A. de C
O
T
OB. d= C-1
O C. d=1
O D. d= TC

Answers

Answer:

C/R = D

Step-by-step explanation:

When you divide rd by r, then r is eliminated and divided into the C

Simplify 3(x + 9) - (x - 6)

Answers

3x+27-x+6

2x+35

That’s your answer
Multiply
3x+27 (- x+6)
-3x^2+18x -27x+162
-3x^2-9x+168

this is equivalent? TRUE OR FALSE.​

Answers

Step-by-step explanation:

yes of course...

just like

saying 2=x is equivalent to x=2

similarly x<3 is equivalent to 3>x

A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? (i dont get this one, please explain :)

Answers

Answer:

35 days

Step-by-step explanation:

A = 14 days

It means per day, work done by A= 1 / 14

A+B = 10 days

Work done by A and B per day = 1 / 10

In what time can B alone do the work?

To solve this, we have

A+B = A alone + B alone

1/10 = 1/14 + B alone

Subtract 1/14 from both sides

1/10 - 1/14 = 1/14 + B alone - 1/14

14-10/140 = B alone

4/140 = B alone

B alone= 1 / 35

Work done of B alone = 1/35

B alone will do the work in 35 days

Answer:

35 days.  

Step-by-step explanation:

A can do the work in 14 days: per day work done by A=1/14

A and B can do the work in 10 days: per day work done by A and B=1/10

Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.

So, B takes 35 days.

1. What value of x will make the equation
below true?
x - 20)- 16 = 10x + 51

Answers

the answer is:   [tex]x= -\frac{29}{3}[/tex]

3. (02.01)
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)

a. 1
b.4
c.5
d.25

Answers

Answer:

A. 1

Step-by-step explanation:

3(x+1)=-2(x-1)+6

3x+3=2x-2+6

x+3=4

x=1

help me i need a lot of help thank you branly

Answers

Answer:its b) 19

4xl-7l-l-9l

=4x7-9

=28-9

=19

Please explain the answer! Will give brainliest :)

Answers

We can see that the diagonal distance from the fire pit to the tree is 6 units, if you count, with a slope of 1, meaning that we only have to stay on that diagonal.

A third of 6 is 2, so we'll just go 2 units in that diagonal, putting us at the point [tex](4,3)[/tex].

Hope this helps.

頑張って!

k/7 = 10 solve for k

Answers

Answer:

k=70

Step-by-step explanation:

to get k by itself you need to multiply k/7 by 7, and you multiply on both sides. 10 times 7 =70

Answer:

Step-by-step explanation:

k/7 = 10

or, k = 7*10

Therefore, k=70.

how to do this question plz ​

Answers

Answer:

The answer is yes.

Step-by-step explanation:

All you have to do is substitute the y, which is 5, and the x, which is 2, into the equation. When you solve it the answer in the end will be 5=5, which means that point (2,5) does line on that line.

Find the midpoint of the line segment joining the two points.
(1.8, -3.4) and (-0.4, 1.4)

Answers

Answer:

(0.7, -1)

Step-by-step explanation:

To find the coordinates for the midpoint you add each coordinate together and divide by 2.

M = ([tex]\frac{1.8 - 0.4}{2}, \frac{-3.4 + 1.4}{2}[/tex])

M = [tex](\frac{1.4}{2}, \frac{-2}{2})[/tex]

M = (0.7, -1)

Could someone please help me with 1 and 2 please

Answers

Answer:

1. 1,2 2,3 ,3,4, 4,5, 5,6              

2.-2,1  -1,-1 0,-2  1,-1 2,1

Step-by-step explanation:

One of the two equal factors of a number is

Answers

Answer:

If the two factors are equal (the same), like 4*4=16, then each of them is called a "square root." Note: a cube root is one of three equal factors of a number, for example, 2 is the cube root of 8 (that is, 2*2*2=8).

Step-by-step explanation:

How is y=x related to y=x-4

Please help I really need it

Answers

Step-by-step explanation:

They both have the same gradient of 1. (Their slope is 1)

One bus averages 58 mi/h, and the other bus averages 54 mi/h. When will they be 365 miles apart?

Answers

Answer:

T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART

Step-by-step explanation:

internet

match eith the appropiate property:​

Answers

Answer:

Commutative property of multiplication.

Step-by-step explanation:

This property says that changing the order of factors doesn't change the product.

Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15

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