Felicity’s dog eats no more than two cups of dog food per day. Felicity’s dog eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If the amount of food that Martin’s dog eats is represented by using m, which inequality represents the situation?
2 greater-than-or-equal-to one-half m + one-fourth
2 less-than-or-equal-to one-half m + one-fourth
2 + one-fourth greater-than one-half m
2 minus one-fourth greater-than one-half m

Answers

Answer 1

Answer:

2>_1/2m+1/4

Step-by-step explanation:

u

Answer 2

[tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

[tex]x[/tex]  denotes amount of food that Felicity's dog eats.

What is inequality?

The mathematical expressions in which both sides are not equal are called inequalities. In inequality, unlike in equations, we compare two values. The equal to sign in between is replaced by less than, greater than or not equal to sign. Olivia is selected in the 12U Softball.


Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using [tex]m[/tex]

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = [tex]m[/tex]

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats ≥  [tex]\frac{1}{4}+\frac{m}{2}[/tex]

Therefore,

[tex]\frac{1}{4}+\frac{m}{2}[/tex]  ≤ Amount of food that Felicity's dog eats ≤ 2

let [tex]x[/tex] denotes amount of food that Felicity's dog eats.

[tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

Hence,  [tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

[tex]x[/tex]  denotes amount of food that Felicity's dog eats.

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Related Questions

2. A bag of dog food weighs 40 lb. By weight, 16% of the ingredients is turkey. Find the weight of turkey in the
dog food.

Answers

Answer:

Pretty sure it's 6.4 lbs

Step-by-step explanation:

We have to set up a proporion. So ?/40 and 16/100 because 16% of 100. Since we can't cross multiply 100 and ?, we have to cross multiply 16 × 40 = 640. We have 100 leftover, so 640÷100=6.4

Ok so I did the work and it’s definitely 6.4

x3 +y3 when x=3 and y=4

Answers

Here’s the answer for your question hope this helps!

PLEASE PUT THE FOLLOWING IN ORDER
tysm

Answers

Y = 500x + 38000 would be the first step, as that sets up the equation. Then, 45500 = 500x + 38000 would be the next. Third would be 7500 = 500x, as that is where we subtract 38000 from both sides. Then, finally the answer is x = 15.
To put it in a list
1. Y = 500x + 38000
2. 45500 = 500x + 38000
3. 7500 = 500x
4. 15 = x meaning 15 air conditioners must be sold

Answer:

yessuh

Step-by-step explanation:

Help please! See attached photo​

Answers

X = 20cm

Hope this helps :)

can anyone help with this ??

Answers

Answer:

68

Step-by-step explanation:

Given: If a child is at least 4 feet tall, then
he or she can ride the roller coaster. If a
child can reach the red bar, then the child
is at least 4 feet tall.
Which conjecture is valid by the Law of
Syllogism?
F if a child can reach the red bar, then
the child can ride the roller coaster,
G If a child is at least 4 feet tall, then
the child can reach the red bar.
H If a child can ride the roller coaster,
then the child is at least 4 feet tall.
J If a child can ride the roller coaster,
then the child can reach the red bar.
O

Answers

Answer:

F

Step-by-step explanation:

help..................

Answers

Answer:

87

Step-by-step explanation:

A^2+B^2=C^2

63^2+60^2=C^2

3969+3600=7569

Square root of 7569 is 87

Answer:

87

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle.

The square on the hypotenuse (h) is equal to the sum of the squares on the other 2 sides, that is

h² = 60² + 63² = 3600 + 3969 = 7569 ( take the square root of both sides )

h = [tex]\sqrt{7569}[/tex] = 87

luca sells muffins and juice boxes. muffins are $1.50 each and jucie boxes are $1.25 each. write an algebraic expression for the total income luca received from the sale of muffins and juice boxes​

Answers

Answer:

1.5m+1.25j

Step-by-step explanation:

m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.

Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.

Add the income from both of them to get the total income, and you get 1.5m+1.25j.

please help.............

Answers

Answer:

Step-by-step explanation:

Multiply the y in the binomial by every term in the trinomial. Repeat this for the 3, and sum them all up

[tex](y+3)(y^2+8y-2)\\y^3+8y^2-2y+3y^2+24y-6\\y^3+11y^2+22y-6[/tex]

Answer:

No

Step-by-step explanation:

Why should anyone help you when all you do is steal points

Terry rides his bike to work. It
takes him 40 minutes to go 7
miles. What is Terry's rate per
hour?(** how many minutes in
an hour**)

Answers

Answer:

10.5 is the answer

Step-by-step explanation

[tex]\frac{40}{7}[/tex]=[tex]\frac{60}{?}[/tex]

40x1.5=60

7x1.5=10.5

Answer:

10.5

Step-by-step explanation:

Solve the system by substitution.
x= -5y - 6
5x – 3y = -2
What’s is the solution?

Answers

The value of x is -1 and value of y is -1.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are

x+5y=-6...(1)

5x – 3y = -2...(2)

Multiply equation 1 with 5

5x+25y=-30..(3)

Subtract equation 2 and equation 3

5x-3y-5x-25y=-2+30

-28y=28

Divide both sides by 28

y=-1

Now plug in y value in equation 1

x=5-6

x=-1

Hence, the value of x is -1 and value of y is -1.

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331 students were on a field trip. Six buses were filled and seven students traveled in cars. How many students were in each bus?

pls help and don’t answer just for points!

Answers

54 students in each bus

Using the exchange rate £1 = $1.35, calculate how many £ are in $8.70. Give your answer
rounded to 2 dp.

Answers

Answer:

£6.4

Step-by-step explanation:

£1 = $1.35

To find out the amount of £ , we would simply divide $8.70 by 1.35.

$8.70 / $1.35 = £6.4 rounded to 2 s.f.

what is the reciprocal of 5 1/4​

Answers

5 4/1 is the reciprocal

Please help right now

Answers

Answer:

C

Step-by-step explanation:

the negative sign in -0.3 implies that it is below and the only answer choice with the word below is

C: New orleans is 0.3m below sea level

The answer is C I did this on my test

Use distributive property to write an equivalent expression
9(3x + 5y)​

Answers

Answer:

27x + 45y

Step-by-step explanation:

9(3x + 5y)

27x + 45y

Hope this helps, thank you !!

Select the correct answer.
What is the solution set of 4x = y and [tex]2x^{2} -y=0[/tex]

A.
{(0.5, -0.5), (2, -8)}

B.
{(0, 0), (2, 8)}

C.
{(1.5, 2), (8, 2)}

D.
{(-1.5, -2), (2, 8)}

Answers

Answer:

B.

{(0, 0), (2, 8)}

Step-by-step explanation:

Substitute 4x in for y in the second equation.  

[tex]2x^{2} - 4x = 0\\[/tex]

2x(x - 2) = 0

x = 0    or x - 2 = 0

                     x = 2

Substitute x = 0 and x = 2  in the first equation to get the corresponding values for y

4(0) = y    and 4(2) = y

y = 0     or   y = 8

So, B is the correct answer

Dan invests £800 into his bank account.
He receives 5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.​

Answers

Answer:

p=£800

r=5%

t=3years

Step-by-step explanation:

simple interest=ptr/100=£800×5×3/100=£120

Answer:

sorry dont know answer :C

Step-by-step explanation:

Find X (the angle are X, 81, and 84)

Answers

Answer:

15

Step-by-step explanation:

the answer is 15 because a triangle has to equal 180 so all you have to do is add 81 and 84 then subtract 180 from it. like this 81+84=165 180-165=15. Hope this helps.

5.
Which two expressions are equivalent?

Answers

Answer:

Option c

My logic:

The commutative property of multiplication states that you can multiply a string of numbers in any order and receive the same answer.

Hope this helps!

Option C is the answer.

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Answers

Answer:

[tex]\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}[/tex]

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

[tex]\sf \implies p(x)=- x^3+cx^2-4x+3 [/tex]

And the factor is ,

[tex]\sf \implies g(x) = x + 3 [/tex]

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

[tex]\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}[/tex]

Hence the value of c is (-14)/3 .

The value of c will be equal to -14/3.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is p(x) =-x³+cx²-4x+3. The value of c will be calculated as,

p(x) =-x³+cx²-4x+3

p(-3) =-(-3)³+c(-3)²-( 4 x -3) +3

p(-3) = 27 + 9c +12 + 3

27 + 9c +12 + 3 = 0

9c = -42

c = -42/9

c = -14/3

Therefore, the value of c will be equal to -14/3.

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Simplify each expression by combining like terms 4x+7x=

Answers

Answer:

11x

Step-by-step explanation:

11x (add the like terms)

Look at this and tell me what order they going recording to the book thanks :)

Answers

Answer:

2.Movies

3.Meet Cherry

4.Fall Asleep

5.Darry hits pony

6.Pony and Johny run to the park

7.Underwater

8.Money and Directions

9.Windrixville

10.Save kids

11.Interview newspaper

12.Randy talks to pony

13.Hospital

14.Switchblade

15.

Step-by-step explanation:

In one round of a board game, Chrissy scored 43 points. In the next round, she lost 103 points. How many points did Chrissy have in total after two rounds?

Answers

From my understanding she now has -60 points.

Move words to the blanks and equations to the boxes to prove that vertical angles 21 and 23 are congruent.

Because linear pairs of angles are

and

Because angles that are

to the same angle are

it can be concluded that 21 23.

congruent

m21 +m22 = 180°

supplementary

m22 + m23 = 180°

m2l + m23 = 180°

Answers

Answer:

Because linear pairs of angles are  supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are  supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Step-by-step explanation:

The correct question is attached.

Linear pairs angles are angles which are formed from the intersection of two lines and they are adjacent to each other. Linear pair angles are supplementary.

If angles are supplementary to the same angle, then they are congruent.

∠1 and ∠3 are vertical angles

∠1 and ∠2 form linear pairs while ∠2 and ∠3 form linear pairs. Therefore:

m∠1 + m∠2 = 180° (linear pair angles are supplementary)

m∠2 + m∠3 = 180° (linear pair angles are supplementary)

Hence using transitive property of equality:

m∠1 + m∠2 = m∠2 + m∠3

Using subtraction property of equality by subtracting m∠2 from both sides gives:

m∠1 = m∠3

∠1 ≅ ∠3 (vertical angles are congruent)

Because linear pairs of angles are  supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are  supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

what is black and white and has a lot of problems

Answers

Answer:

math book

Step-by-step explanation:

what is 43/10 as a mixed number

Answers

Answer:

4 3/10

Step-by-step explanation:

Answer:

4 3/10

Step-by-step explanation:

Guys last question pls help

Answers

Answer:

y=-7x-9

Step-by-step explanation:

How does the graph of the function g(x) = 2x + 5 differ from the graph of f(x) = 2X?

Answers

Answer:

Step-by-step explanation:

The lines are parallel, but g(x) lies 5 units above f(x).

Identify a set of parallel lines and a set of perpendicular lines in this image

Answers

Answer

It is the first answer.

Step-by-step explanation:

Parallel lines are lines that will never cross each other.

Perpendicular lines are lines that cross each other at 90 degree angles (represented by the box in the corner).

A set of parallel lines and a set of perpendicular lines in this image are; AB║CD, CD ⊥ EF and AB ⊥ EF

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since Parallel lines are lines that will never cross each other.

We know that Perpendicular lines are lines that cross each other at 90 degree angles.

The parallel lines are AB and CD, the perpendicular are AB and EF because the first sets are side by side and the second sets cross each other at a certain point.

Therefore the  set of parallel lines and a set of perpendicular lines in this image are; AB║CD, CD ⊥ EF and AB ⊥ EF

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