For the spring festival, the Math Club is selling rulers for $1 and compasses for $2.50. the club would like to sell as many items as they can to raise funds. they need to at least make $15 to break even. write an inequality to represent this situation. let r=#of rulers sold and c=#of compasses sold.... School rules state that the club can sell a maximum of items for the festival. Write another inequality for this constraint (limitation).

Answers

Answer 1

Final answer:

To represent the situation, the inequality is 1r + 2.50c >= 15. The constraint on the maximum number of items sold is r + c <= M.

Explanation:

To write an inequality representing the situation, we need to consider the cost and the number of items sold. Let's denote the number of rulers sold as r and the number of compasses sold as c. The cost of the rulers is $1 each and the cost of the compasses is $2.50 each. The Math Club needs to make at least $15 to break even, so the inequality is: 1r + 2.50c >= 15.

Now, let's consider the constraint or limitation on the maximum number of items sold. Let's assume the maximum number of items that can be sold is M. So the inequality for this constraint is: r + c <= M.

Answer 2

Final answer:

The student should write the inequality 1r + 2.5c ≥ 15 to represent the condition of making at least $15 from selling rulers and compasses. An additional constraint can be represented by the inequality r + c ≤ m, with m being the maximum number of items allowed to be sold.

Explanation:

The Math Club is looking to make at least $15 by selling rulers at $1 each and compasses at $2.50 each. To represent this situation as an inequality where r is the number of rulers and c is the number of compasses sold, we use the equation: 1r + 2.5c ≥ 15. This inequality ensures that the combination of rulers and compasses sold will bring in at least $15.

If there is a maximum number of items that the Math Club is allowed to sell, we can represent this as another inequality. Let's say the maximum number of items is m. Then, we can write the inequality as: r + c ≤ m, where m is the given maximum number of items that can be sold.

Related Questions

Point x starts at -4 on a number line. Pint x then goes through a series of moves; +3 units, -2 units, +6 units and -5 units. What is the final position of Point x?

Answers

Final answer:

Starting from -4 and applying a series of moves (+3, -2, +6, -5) sequentially on the number line, the final position of Point x is -2.

Explanation:

The question involves finding the final position of Point x after a series of moves on a number line. Starting from -4, we apply the moves in sequence: adding 3, subtracting 2, adding 6, and finally subtracting 5. The operations are as follows:

Start: -4After adding 3: -4 + 3 = -1After subtracting 2: -1 - 2 = -3After adding 6: -3 + 6 = 3After subtracting 5: 3 - 5 = -2

Therefore, the final position of Point x on the number line is -2.

how do i solve this ? :')

Answers

I think you are supposed to make the fraction equivalent so you know that 27/9 is 3, so you would do the same thing whatever number is supossed to be under 17 needs to equal to 2 when divided by 9. So you should probably know that 3 * 9 is 18 so x needs to be a number that when subtracted by 5 gives you 18. So x=23. Hope this is right and it helps!

What is the slope of the line? 6x + 2y= -14

Answers

The slope of the line stated is -3.

First, you'd subtract 6x from both sides "2y = -6x - 14". Then you'd divide each side by 2 "y = -3x -7". Now the line is in the proper form (Y = MX + B), M is the slope. Thus making -3 the slope.

I hope this helps!

You own Everything's Coming Up Roses flower shop. Your employee makes 4 deliveries per hour. The distance between the shop and the first delivery is 12 1/3 miles. The distance between the next three deliveries is 8 3/4 miles; 17 2/8 miles; and 23 2/3 miles respectively. The distance from the final delivery to the shop is 10 5/10 miles. What is the average distance for all segments of this trip? 14.48 miles

Answers

I’m not entirely sure but the answer might be 72 1/2 miles. I added up 12 1/3, 8 3/4, 17 2/8, 23 2/3, and 10 5/10. And I got 72 1/2.

Final answer:

The average distance for all segments of the flower shop deliveries trip is calculated to be 14.5 miles.

Explanation:

To calculate the average distance travelled for all segments of the trip, we first convert each distance to an improper fraction or decimal for ease of calculation and then find the sum of all the segments.

After this, we divide the total distance by the number of segments.

The distances given are:

12 1/3 miles which is 12.333... miles (or 37/3 as an improper fraction)8 3/4 miles which is 8.75 miles (or 35/4 as an improper fraction)17 2/8 miles which is 17.25 miles (or 69/4 as an improper fraction)23 2/3 miles which is 23.666... miles (or 71/3 as an improper fraction)10 5/10 miles which is 10.5 miles (or 21/2 as an improper fraction)

The total distance travelled is the sum of all these distances:

12.333... + 8.75 + 17.25 + 23.666... + 10.5 = 72.5 miles

There are 5 segments in the trip, so to find the average, we divide 72.5 miles by 5:

72.5 miles / 5 = 14.5 miles

Therefore, the average distance for all segments of this trip is 14.5 miles.

Ms. Coleman's class has already collected 403 cans for a food drive, but the class wants to collect a total of at least 1,000 cans. If each of the 28 students in the class brings an equal number of cans, how many more cans should each student bring for the class to have collected at least 1,000 cans?

Answers

22 cans each student needs to bring. 22x28=616+403=1019

22 cans each student needs to bring. 22x28=616+403=1019 that is the answer

plz answer my multiple choice question

Answers

3 = 3 and one solution

What is the next number in the sequence 3,7,15,31,63,

Answers

Answer:

The next number is 127

Step-by-step explanation:

The sequence is the previous number times 2 plus one.

Steve bought a total of 6 packages of pens, and each package contained either 3 or 7 pens. If exactly 4 of the packages Steve bought a package that contained 7 pens, how many pens did Steve buy?

A) 21
B) 28
C) 30
D) 34
E) 42

Answers

The answer is D, 34

If 4 of the packages contain 7 pens, that means there, 28 pens are total.

Because they contained either 3 or 7 pens, I would assume the remaining 2 packages of 6 total that Steve had bought would have to have 3 pens.

3*2 is equal to 6

28 + 6 = 34

The answer is D.
Calculate how many pens he bought for only the bags with 7 pens each. You get 28.
Next, since you know there are 2 bags left that each must have 3 pens only, calculate how many pens he bought in only those 2 bags. You get 6.
Add the 2 values. 28+6 is 34, so your answer is choice D.

How do you solve for x??

Answers

My apologies. the image loaded with an error that made it appear as there was an additional parallel line. after reviewing the image online I can see that the 2 given angles are in fact alternate interior angles. By theorem these are congruent meaning they have equal measures. be abuse of this we can set them equal and solve for x.
130=x+135 and subtracting 135 from both sides gives us
130-135=x-0
x=-5

best
shayla

Make an equation 130=x+135 then subtract 135 from 130 which would leave x alone on the right 130-135=-5 so x=-5

4 ounces of cheese makes one cup of shredded cheese you want 3 cups of shredded cheese how many ounces the must you shred

Answers

Oh I had this question before it’s 3 and a half of a cup and I got it right trust me

Given the facts that:
4 ounces of cheese = 1 cup

We can easily calculate 2 cups of shredded cheese in ounces by doubling each side (or multiplying each side by 2). This means we do:

ヽ 4 ounces x 2 = 8 ounces
ヽ 1 cup x 2 = 2 cups

Now we can say that 8 ounces of shredded cheese is equal to 2 cups.
We're nearly there! All we need to do now is add the first equation we started off with to the one we just solved for.

ヽ 4 ounces = 1 cup
ヽ 8 ounces = 2 cups
～ 4 + 8 = 12 ounces
～ 1 + 2 = 3 cups

Our final answer is that 12 ounces of shredded cheese is equivalent to 3 cups.

Hope this helped! ッ

Why did the chicken hit her egg with an ax worksheet answers

Answers

What are you trying to find

Answer:

Step-by-step explanation:

A. 1). Area of the rectangle = length×width = 11×8 = 88 cm²

Perimeter = 2(18+11) = 58 cm

2).Area of a parallelogram = length×height = 24×16 = 384 ft²

Perimeter = 2(19+24) = 2×43 = 86 ft

3). Area of a right angle triangle = (1/2)×base×height = (1/2)×12×9 = 54 in²

Perimeter = (9+12+15) = 36 in

4). Area of a triangle = (1/2)×Base×height = (1/2)×21×19 = 199.5 m²

Perimeter = (20+21+23) = 64 m

5). Area of an obtuse angle triangle = (1/2)×height×base = (1/2)×2.9×2.4 = 2.9×1.2 = 3.48 cm²

Perimeter = (2.9+2.4+4.5) = 9.8 cm

6). Area of a parallelogram = base × height = 56×90= 5040 ft²

Perimeter = 2(56+100) = 2×156 = 312 ft

B. 7). Area of the shaded area = (27×27 - 12×12) = 729-144 = 585 in²

8). Area of the shaded area = 10(9+7) - (1/2)×10×9 = 160 - 45 = 115 cm²

9). Area of the shaded area = 50×53 - 25×23 = 2650 - 575 =2075 ft²

10). Area of the shaded area = 10×13 - (1/2)×6×8 = 130 - 24 = 106 m²

11). Area of the shaded area = 18×18 - (1/2)×18×9 = 324 - 81 =243 in²

12). Area of the shaded area = 11×17 - (1/2)×11×17 = (1/2)×11×17 = 93.5 cm²

Which stem of equation should Omar use?

Answers

According to the logarithmic property of the base change, the corrected answer is option four or the last.
The logarithmic property of base change given that
loga (b) = logc (b) / logc (a)
Therefore, the same property applies to this problem and the correct expression for this question is:
y1 = log (x) / log (6)
y2 = log (x + 4) / log2

How do you this??????

Answers

Start with the relationship
1 liter = 1000 mL
and multiply it by 1.5 to get
1.5 liter = 1500 mL

The appropriate choice is
(B) 1,500 mL

The correct answer is B 1,500 because 1.5 times 1000 is 1500 I got 1000 by 1 liter is 1000 mill.

In the triangle below,
1) Find the length of BC

2) Find the are area of Δ ABC

Answers

1. Since we have two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:
[tex]BC= \sqrt{AB^2+AC^2-2(AB)(AC)Cos \alpha } [/tex]
[tex]BC= \sqrt{6^2+4^2-2(6)(4)Cos(60)} [/tex]
[tex]BC= \sqrt{36+16-48Cos(60)} [/tex]
[tex]BC= \sqrt{52-48Cos(60)} [/tex]
[tex]BC=2 \sqrt{7} [/tex]

We can conclude that the length of the side BC is [tex]2 \sqrt{7} [/tex].

2. To find the area of triangle ABC we are going to use Heron's formula: [tex]A= \sqrt{S(S-A)(S-B)(S-C)} [/tex]
where
[tex]A[/tex] is the area of the triangle
[tex]S[/tex] is the semi-perimeter of the triangle

But first, we are going to find the semi-perimeter of our triangle using the formula: [tex]S= \frac{A+B+C}{2} [/tex]
We can infer for our triangle and from our previous calculation that [tex]A=2 \sqrt{7} [/tex], [tex]B=4[/tex], and [tex]C=6[/tex]. Lets replace those values to find the semi-perimeter of our triangle:
[tex]S= \frac{A+B+C}{2} [/tex]
[tex]S= \frac{2 \sqrt{7+4+6} }{2} [/tex]
[tex]S=7.65[/tex]

Finally, we can use Heron's formula to find the area of our triangle:
[tex]A= \sqrt{7.65(7.65-2 \sqrt{7})(7.65-4)(7.65-6)}[/tex]
[tex]A=10.42[/tex]

We can conclude that the area of our triangle is 10.42 square units.

A1. Since we have two sides (AC and AB) and the included angle (60°), we are going to use the law of cosines to find the length of BC:

We can conclude that the length of the side BC is .

2. To find the area of triangle ABC we are going to use Heron's formula:

where

is the area of the triangle

is the semi-perimeter of the triangle

But first, we are going to find the semi-perimeter of our triangle using the formula:

We can infer for our triangle and from our previous calculation that , , and . Lets replace those values to find the semi-perimeter of our triangle:

Okay this is a new problem I need help with tryna set it up or what’s the answer

Answers

Volume of a rectangular prism: l × w × h

Split the prism into two rectangular prisms.

We have a rectangular prism with side lengths of 8 by 7 by 5.
The other prism has side lengths of 8 by 3 by 8.

Plug these numbers into the formula:
8 × 7 × 5 = 280
8 × 3 × 8 = 192

Now add up both volumes of the prisms to find the volume of the entire rectangular prism.

280 + 192 = 472

The volume of the figure is 472 yards³.

i need 14 and 15 please!

Answers

14. (n-5)*4+7
15. No, this would not be neccesary because if I were to distribute 1/2 to both 4 and 6, I know that I would get half of those numbers which would give me 2x+3. I also know that if I distribute 1/3 to both 9 and 24, I would get 1/3 of each number which would be 3 and 8.

how to find the angle measures of a inscribed polygon?

Answers

When the quadrilateral is inscribed in a circle, opposite angles add to 180°.
26y +2x = 180
21y +3x = 180

There are many ways to solve these equations. Shown here is a graphical solution that tells us
x = 25
y = 5

Then the angles are ...
∠A = 26y° = 130°
∠B = 3x° = 75°
∠C = 2x° = 50°
∠D = 21y° = 105°

Thomas had three different types of coins in his pocket, and their total value was $2.72. He had twice as many pennies as quarters and one less dime than the number of pennies. How many quarters did he have?

Answers

Answer: 6 Quarters
12 Pennies
11 Dimes

Written answer: Thomas has 6 Quarter, 12 pennies, and 11 dimes in his pocket.

Show your work: 6•0.25= 1.50$
12•1= 0.12$
11•10= 1.10$

1.50$+0.12$+1.10$= 2.72$

PLEASE HELP ME!! HURRY PLEASE

Answers

4, there is 3 radii OA, OC and OB
2nd choice

5. there is one chord BC
first choice

6. 3 central angles:
AOC, AOB, BOC
first choice

can someone plz help me.

Answers

3. 4 times x of a fence would 4x, and then you would put on the minus 3 for the first length of fence to be 4x-3. For the second length of fence, 5 times x would be 5x, adding on the 6 and you get 5x+6. Add these two equations together and you get the answer of A: (4x-3)+(5x+6).

4. Add both of the number of seeds in the garden, which is x+4x+10. By adding like terms, you get the new equation of 5x+10. Therefore, the total number of seeds that Val plants will be 5x+10.

Gabe went to the amusement pasrk with $40 to spend. His tickets cost $26.50. Write and solve an inequality to show how much he might spend on souvenirs and snacks.

Answers

x= cost of souvenirs & snacks

$26.50 + x ≤ $40
subtract 26.50 from both sides

x ≤ $13.50

ANSWER:
Equation: $26.50 + x ≤ $40; He could spend a maximum of $13.50 on souvenirs and snacks.

Hope this helps! :)

Number 9. I was guessing helppp plssss

Answers

The answer should be 2 ft per hop. 6 yards equals 18 feet. 18 divided by 9 is 2. Therefore, it is 2 feet or 2/3 of a yard

Aaron bought a large basket of 59 apples for $22.95. He also bought a small basket of 18 apples for 8.95. Which amount is the closest estimate of the cost per apple?

Answers

22.95+8.95 = 31.90
31.90/77 = .41
So, it'd be .40 if you were rounding.

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and
F(4, -1)?
1.equilateral triangle
2.isosceles triangle
3.right triangle
4.acute scalene triangle
5.obtuse scalene triangle

Answers

D=(7,3)=(xd,yd)→xd=7, yd=3
E=(8,1)=(xe,ye)→xe=8, ye=1
F=(4,-1)=(xf,yf)→xf=4, yf=-1

DE=sqrt[(xe-xd)^2+(ye-yd)^2]
DE=sqrt[(8-7)^2+(1-3)^2]
DE=sqrt[(1)^2+(-2)^2]
DE=sqrt[1+4]
DE=sqrt[5]
DE=2.236067978
DE=2.236

EF=sqrt[(xf-xe)^2+(yf-ye)^2]
EF=sqrt[(4-8)^2+(-1-1)^2]
EF=sqrt[(-4)^2+(-2)^2]
EF=sqrt[16+4]
EF=sqrt[20]
EF=sqrt[4*5]
EF=sqrt[4]*sqrt[5]
EF=2*sqrt[5]
EF=2*(2.236067978)
EF=4.472135956
EF=4.472

DF=sqrt[(xf-xd)^2+(yf-yd)^2]
DF=sqrt[(4-7)^2+(-1-3)^2]
DF=sqrt[(-3)^2+(-4)^2]
DF=sqrt[9+16]
DF=sqrt[25]
DF=5

The three sides are differents:
DE=2.236 different to EF=4.472 different to DF=5
Then the triangle scalene

Longest side is DF=5

DF^2=(5)^2→DF^2=25

DE^2=(sqrt[5])^2→DE^2=5
EF^2=(2*sqrt[5])^2=(2)^2*(sqrt[5])^2=4*5→EF^2=20

Square of the longest side: DF^2=25
Sum of the square of the other sides: DE^2+EF^2=5+20=25

The square of the longest side=25=Sum of the squares of the other sides, then the triangle is a right triangle

The triangle is right triangle and it is a scalene triangle

Answer: Option 3. right triangle

Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will Belinda receive from her insurance company when she files her claim?
Summary
Comprehensive Deductible: $375
Collision Deductible: $550
Premium of $625 for 4 months

Answers

Answer:

Belinda will get $25 from her insurance company when she files her claim.

Step-by-step explanation:

Comprehensive insurance covers your car from damage from fire, theft or falling objects like trees etc.

To get the claim, the company will check the worth of the GPS system in the market minus the deductible amount.

So, the cost of GPS system was $400. And comprehensive deductible is $375.

So, Belinda will receive [tex]400-375=25[/tex] dollars

The answer is: Belinda will get $25 from her insurance company when she files her claim.

Penny has 3 friends over after school, and they are hungry for an after school snack! They find 2/3 of a pie left over from dessert lastnight. If they split up the leftover pie evenly between the 4 girls, how much pie does each girls get to eat?

Answers

2/3 ÷ 4 =

Formula = Keep, change, flip

Keep 2/3
Change ÷ to ×
Flip 4 to 1/4

That equals 2/3 × 1/4 = 1/6

Answer = 1/6

Hope this helped☺☺

Variable x is 7 more than variable y. Variable x is also 1 less than y. Which of the following pairs of equations best models the relationship between x and y? (4 points)

x = 1y
x = y + 7

x = y + 7
x = y – 1

y = x + 8
y = x – 1

y = 7x
y = x + 1

Answers

we know that
1) Variable x is 7 more than variable y
so
x=y+7

2) Variable x is also 1 less than y.
x=y-1

therefore

the answer is
the option
x = y + 7
x = y – 1

Answer:

1. x is 7 more than y

meaning

x=y+7

2. x is 1 less than y

meaning

x=y-1

the answer:

x = y + 7

x = y – 1

Which of the following statements is false? a. Every chord is a part of a secant b. Every diameterbis a part of secant c. Every chord is a diameter d. Every diameter is a chord

Answers

The wrong statement about a circle is c. Every chord is a diameter

Further explanation

Circles are two-dimensional builds which are sets of equidistant points at a point called the center point

The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle

There are terms - terms commonly used in circles:

1. The center point2. Radius3. Arc4. Circumference5. Segment6. Chord7. Annulus8. Diameter9. Disc10. Lens

A diameter is a line that passes through the center of a circle and divides the circle into two equal partsA Secant is a plotline that intersects a circle at two points on a circleA chord is a line that cuts a circle at 2 points located on the arc

Let we see the answer choices :

a. Every chord is a part of a secant

Right, because secant itself is an extension of the chord

b. Every diameter is a part of secant

Right, because the diameter itself also intersects the circle at two points on the circle, just like secant

c. Every chord is a diameter

Incorrect, because the diameter itself must pass through the center point while the chord does not have to

d. Every diameter is a chord

Right, because each diameter intersects a circle at two different points

So the wrong statement is C. Every chord is a diameter

Learn more

circumference

https://brainly.com/question/8929610

circle transformations

https://brainly.com/question/9138203

the arc length of a segment of a circle

https://brainly.com/question/10528925

Keywords: circle, secant, diameter, chord

Every chord is a diameter is false. Option (c) is false.

Further explanation:

Given:

The statements are as follows,

(a). Every chord is a part of a secant

(b). Every diameter is a part of secant

(c). Every chord is a diameter

(d). Every diameter is a chord

Explanation:

Diameter is a distance between the points that passes through the center of the circle.

The distance between the two points on the circle is known as the chord. The longest chord is the diameter of the circle.

Radius is line segment to a point from the center of the circle and the radius is half of the diameter.

Secant is a straight line that intersects two points on the circle.

Every chord is a diameter is false. Option (c) is false.

Statement (a) is true.

Statement (b) is true.

Statement (c) is false.

Statement (d) is true.

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: false, chord, part, secant, radius, diameter, Every chord is a part of a secant, Every diameter is a part of secant, Every chord is a diameter, Every diameter is a chord.

Suppose 540 people visit the zoo.Predict how many people will choose the monkey exhibit as their favorite

Answers

Are there any answer choices?

Answer:

162

Step-by-step explanation:

There are 21 out of 70 people that like the monkey exhibit. So you divide that and get 0.3 or 3/10. Then you have to multiply that by 540. This gets you to 162 which is the answer to your problem.

is the relation a function? Why or why not?

(-3, -2) (-1, 0) (1, 0) (5, -2)

A. no- to domain values exist for range value -2
B- yes- only one range value exists for each domain value
C- yes- to domain values exist for range value -2
D- no- the relation passes the vertical line test

Answers

letter b
because there is no repeating x's

Final answer:

A relation where each domain value is mapped to a single, unique range value is considered a function. The relation in question is indeed a function because each domain value corresponds to only one range value, and its correctness is supported by the distinct pairs of the domain and range. The correct answer is option (B)

Explanation:

To determine whether a given relation is a function, we check if each element of the domain maps to exactly one element of the range. The relation in question is composed of the following ordered pairs: (-3, -2), (-1, 0), (1, 0), (5, -2). The domain (which consists of the first elements of the ordered pairs) includes -3, -1, 1, and 5, and the range (the second elements) includes -2, 0.

A crucial aspect of a function is that each domain value is paired with a unique range value. Here, we see that no domain value is repeated; hence, none of them map to more than one range value. This satisfies the criterion for a function. However, it is not a problem that a range value, like -2, appears more than once in the relation as long as it corresponds to different domain values.

Based on this, the correct answer would be "B. yes- only one range value exists for each domain value" because each domain value is associated with one and only one range value, which is the definition of a function.

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