Angela is shopping for pet supplies and needs to buy a kennel and several toys. At Paws R Us, she would pay $50.75 for the kennel and $3.75 for each pet toy. At Truth or Tail, she would pay $43.25 for the kennel and $5 for each pet toy. Write an inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.​

Answers

Answer 1

Answer: t>6

Step-by-step explanation:

Amount to pay = Cost of kennel + (Cost per toy )x (Number of toys)

Let t = the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.​

Given, At Paws R Us, she would pay $50.75 for the kennel and $3.75 for each pet toy.

Amount to pay =  $(50.75 + 3.75t)

At Truth or Tail, she would pay $43.25 for the kennel and $5 for each pet toy.

Amount to pay =  $(43.25 + 5t)

According to the question , we have

50.75 + 3.75t < 43.25 + 5t

Subtract 3.75t from both sides

50.75+ 3.75t -3.75t   < 43.25 + 5t -3.75t

⇒ 50.75< 43.25 +1.25 t

Subtract  43.25 from both sides, we get

50.75 - 43.25 < 1.25 t

⇒  7.5< 1.25 t

Divide both sides by 1.25 we get

⇒   6<t

Hence, the required inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option:

[tex]t>6[/tex] .


Related Questions

simplify 4(12* 6-4^2) +9

PLEASE HELP!!!!

Answers

Answer:

233

Step-by-step explanation:

Why is a capacity of 25 fluid Ounces more than a capacity of 3 cups? O Because when you divide 25 by 8, the result is less than 3. Because when you multiply 25 by 8, the result is less than 3. O Because when you divide Ty by 8, the result is greater than 3. O Because when you multiply 25 by 8, the result is greater than 3.​

Answers

Answer: Because when you divide 25 by 8, the result is greater than 3.

The solution is,  Because when you multiply 25 by 8, the result is less than 3.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

a capacity of 25 fluid Ounces more than a capacity of 3 cups

we have to find why it is correct.

now, we get,

if we divide 25 by 8

i.e. 25/8

now, we know,

24/8 = 3

so, 25/8 = 3.125

i.e. 25/8 > 3

as, we have, the result is greater than 3.

Hence,  a capacity of 25 fluid Ounces more than a capacity of 3 cups is,

Because when you divide 25 by 8, the result is greater than 3.

To learn more on division click:

brainly.com/question/21416852

#SPJ7

EASY POINTS. PLEASE CLICK HERE

Answers

Answer:

Free points you say?!

Brainiest too please ;)

Step-by-step explanation:

Free points I hear have a good day

Mrs.Hogan made 24 cupcakes for Keira's birthday. She put pink frosting on 1/4 of the cupcakes. She put purple frosting on 1/2 of the remaining cupcakes. The rest had blue frosting. How many cupcakes get blue frosting?

Answers

Answer:

9 Blue Cupcakes

Step-by-step explanation:

First, draw a diagram.

(suppose the blank stars are the pink cupcakes, black stars are the purple cupcakes and the half blank-half black stars are the blue cupcakes)

oooo

oooo

oooo

oooo

oooo

oooo

Then, figure out how much is 1/4 of 24, which is 6.

✩✩✩✩

✩✩oo

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There are 18 cupcakes left. Then, figure out what 1/2 of 18 is, which is 9.

✩✩✩✩

✩✩★★

★★★★

★★★o

oooo

oooo

Finally, see how many are remaining, which are 9 cupcakes left.

✩✩✩✩

✩✩★★

★★★★

★★★✯

✯✯✯✯

✯✯✯✯

Hopefully this helped!

-✩sandwichchan✩

A partial sum of an arithmetic sequence is given. Find the sum.
14 (3 + 0.26k) k = 0

Answers

Answer:

72.3

Step-by-step explanation:

Given that:

The arithmetic sequence:

[tex]\sum \limits ^{14}_{k=0} (3 + 0.26k)[/tex]

The first term of the sequence [tex]a_0[/tex] = 3 since k = 0

i.e (3 + 0.26(0)) = 3

The last term of the sequence [tex]a_{14}[/tex] = 6.64

i.e (3+ 0.26(14)

= (3 + 3.64)

= 6.64

Total no of terms = 15 i.e from 0 to 14

The partial sum of the arithmetic sequence = [tex]\dfrac{Total \ no \ of \ terms }{2} \times (a_o+a_{15})}[/tex]

[tex]=\dfrac{15 }{2} \times (3+6.64)}[/tex]

= 72.3

L is the midpoint of KM. If KL = 2x and LM = x + 6, what is KL?

Answers

Answer:

KL = 12

Step-by-step explanation:

Given that L is the midpoint of KM , then

KL = KM , substitute values

2x = x + 6 ( subtract x from both sides )

x = 6

Thus

KL = 2x = 2 × 6 = 12

The measure of the segment KL is 12 units if the L is the midpoint of KM. If KL = 2x and LM = x + 6

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

L is the midpoint of KM. If KL = 2x and LM = x + 6.

Given that L is the midpoint of KM, then

From the question:

KL = KM

2x = x + 6

After simplification:

x = 6

KL = 2x

Plug x = 6 in the above equation:

KL =2(6)

KL = 12

The measure of the segment KL is 12 units.

Thus, the measure of the segment KL is 12 units if the L is the midpoint of KM. If KL = 2x and LM = x + 6.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Solve for x: |2x + 12| = 18 (5 points) x = 3, x = −3 x = 3, x = −15 x = 15, x = −15 x = −3, x = 15

Answers

Answer:

[tex]x=3\text{ or } x=-15[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|2x+12|=18[/tex]

Definition of Absolute Value:

[tex]2x+12=18\text{ or } 2x+12=-18[/tex]

Subtract 12 from both sides for both equations:

[tex]2x=6\text{ or } 2x=-30[/tex]

Divide both sides by 2 for both equations:

[tex]x=3\text{ or } x=-15[/tex]

And we're done!

A cyclist rode the 1st 28 mile portion of his workout, at a constant speed. For the 18 mile cool down portion of his workout, he reduced his speed by 5 miles per hour. Each portion of the workout took the same time. Find the cyclist speed during the first portion, and find his speed during the cool down portion

Answers

Answer:

a uno

Step-by-step explanation:

espero que te cirba

Which of the following could be classified as a census?
a survey of a percentage of each state’s population about voting choices
a survey of each student in a school about school lunch options
a survey of all the children in a supermarket to determine the favorite cereal brands of the general population
a survey of all the women on Main Street to determine the current movie preferences of all people over age 20

Answers

Answer:

a survey of each student in a school about school lunch options

Step-by-step explanation:

The answer above is correct.

Answer: B. a survey of each student in a school about school lunch options

Step-by-step explanation:

What is the measurement of

Answers

Answer:

of?????????????????????????

Answer:

it matters so of what?

Step-by-step explanation:

a rectangular retaining wall has an area of 15 square feet. the height of the wall is two feet lesss than its length. find the height and the length of the wall.

Answers

x(x-2)=15
x^2 - 2x = 15
x^2 - 2x - 15 = 0
(x-5)(x+3)=0
x-5=0 x+3=0
x=5 x=-3

The length is 5 because -3 cannot be the answer as it is negative. The height of the wall is 3 because 5-2 is 3.

Finish the sequence 1, 1/4, 1/9, 1/16, 1/25, __, __

Answers

Answer:

1/36, 1/49

Step-by-step explanation:

we notice that the sequences are the inverses of the square numbers, so the next one is

[tex](6^{2} )^{-1},(7^2)^{-1}\\\\36^{-1},49^{-1}\\\\\frac{1}{36}, \frac{1}{49}[/tex]

Use £1 = $1.92 dollars to work out how much 45p is in dollars

Answers

Answer:

around 58 dollars

Step-by-step explanation:

Evaluate the expression when x = 10 and y = -2.
-x+y
6

Answers

Answer: [tex]-12[/tex]

Step-by-step explanation:

[tex]-x+y=-(10)+(-2)=-10-2=\boxed{-12}[/tex]

Question 1 (1 point) 3 If the dimensions of the box are L= 5cm W=2.5cm H= 2.5 cm, and the a kernel is 0.6cm; How many kernels could fit inside of the box?​

Answers

Answer:

145 kernels

Step-by-step explanation:

The dimensions of the box are L= 5cm W=2.5cm H= 2.5.

Size of a kernal is 0.6 cm

We need to find number of kernels that could fit inside of the box. Let n be such kernals. So,

[tex]n=\dfrac{\text{volume of box}}{\text{volume of one kernel}}[/tex]

Kernal is in the shape of cube

So,

[tex]n=\dfrac{\text{volume of cuboid}}{\text{volume of one cube}}\\\\n=\dfrac{LWH}{a^3}\\\\n=\dfrac{5\times 2.5\times 2.5}{(0.6)^3}\\\\n=144.67\\\\\text{or}\\\\n=145\ \text{kernels}[/tex]

Hence, 145 kernels could fit inside of the box.

2. What is the value of
|3|?
A. -3
B. 0
C. 3
D. 6

Answers

The answer is C because it only changes unless the 3 was -3

f(x)= squad root of x plus 3. find the inverse

Answers

Answer:

inverse of [tex]\sqrt{x}[/tex]-3 :  x^2 +3

Step-by-step explanation:

y=[tex]\sqrt{x-3}[/tex]

x=[tex]\sqrt{y-3}[/tex]

y=[tex]x^{2}[/tex]+3

[tex]x^{2}[/tex]+3

I'm giving 50 POINTS and I mark BRAILIEST the question is provided. in the picture Please include ALL WORK and simplify. TYYY ❤️

Answers

[tex]\sf\longmapsto3 \times \frac{1}{3} \div \frac{2}{3} [/tex]

[tex]\sf\longmapsto \dfrac{3 \times \frac{1}{3} }{ \dfrac{2}{3} } [/tex]

[tex]\sf\longmapsto \dfrac{ \dfrac{10}{3} }{ \dfrac{2}{3} } [/tex]

[tex]\sf\longmapsto \: \dfrac{10}{3} \times \dfrac{3}{2} [/tex]

[tex]\sf\longmapsto \: \dfrac{10 \times 3}{3 \times 2} [/tex]

[tex]\sf\longmapsto \dfrac{30}{6} [/tex]

[tex]\sf\longmapsto \: 5[/tex]

The ratio number of people who like
Chocolate ice cream to Vanilla is 4:3
If 500 more people like Chocolate,
how many people like each?
Help!!

Answers

the answer would be 2000 people like chocolate 1500 like vanilla

What is m < M? enter your answer in the box

Answers

Answer:

Sorry this is late, but for future reference the answer is 98°.

Step-by-step explanation:

I took the quiz.

saleem put 120 feet of fence around a rectangular garden. The length of the garden is twice its width. what is the width of the garden?

Answers

Answer:

40

Step-by-step explanation:

the width is 2x and the length is x.

2x+2x+x+x=120

6x=120

x=[tex]\frac{120#\\}{6}[/tex]

x=20

2*20= width

width is 40 feet.

Find the unknown angle measure

Answers

Answer:50

Step-by-step explanation:

Since the total of angles is 180, you just substract two numbers given by 180. Then, you will get 50. 180-(58+72) = 50

What is the value of "b" in the following equaiton? 4b = 6b - 10

Answers

b=5. subtract 6b on both sides. -2b=-10 and then divide both sides by -2 and get b=5

Answer:

5

Step-by-step explanation:

4b=6b-10

subtract 6b from both sides which is -2

new equation is -2b=-10

divide -2 from both sides and the answer is b=5

A population of voters contains 46% Republicans, 45% Democrats and the rest are Independents. Assume 50% of Republicans, 40% of Democrats, and 60% of Independents favor an election issue. A person chosen at random from this population is found to favor the issue in question. Find the conditional probability this person is a democrat. (Round off up to two decimal points.) Group of answer choices 0.18 0.51 0.71 0.39

Answers

Answer:

The probability is 0.18

Step-by-step explanation:

Here, we are interested in calculating a conditional probability;

Let the event that a voter is a Republican be R , the event that a voter is a Democrat be D and that a voter is an independent is I

Let the event that the election issue is favored be F

We have the following probabilities;

P(R) = 46% = 0.46

P(D) = 45% = 0.45

P(I) = 1-0.45-0.46 = 0.09

The conditional probability we want to calculate is;

P(D | F) which can be read as probability of event D given event F

From the question, we can identify the following conditional probabilities;

P(F|R) = 0.46 * 0.5 = 0.23 (0.5 is gotten from 50% = 50/100)

P(F | D) = 0.45 * 0.4 = 0.18

P( F | I) = 0.09 * 0.6 = 0.054

P(F) = 0.054 + 0.18 + 0.23 = 0.464

Mathematically; From Baye’s theorem

P( D | F) ={ P ( F | D) * P(D) }/ P(F)

P( D | F) = (0.18 * 0.45)/0.464 = 0.1745


What must be true of the units in two rates if one rate can be converted to the units of the other rate? In other words, the units of the
first rate are both/all distinct from that of the converted rate, but it still represents the same measurement?

Answers

Answer:

Yes, unit of the first rate can be be different from and second and still represent the same measurement/value.

Step-by-step explanation:

Yes, if we have two units rate and one rate is converted to another, both measurement will still remain the same even after the conversion but the rate will be different.

For example if we want to convert $2 to naira, note that the unit rates for are distinct but after conversion the amount of both money will be the same.

If $1 = #386

2$ = 2×#386

$2 = #772

Hence the measurement of $2 is equivalent to 386 naira even though the rates are distinct (naira and $)

Please help ASAP!!!!

Answers

Answer:

Step-by-step explanation:

figure it out kid

A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
a reflection of the point across the x-axis
a reflection of the point across the y-axigting
a reflection of the point across the line yex
a reflection of the point across the line y = -x

Answers

Answer:

The answer is (B). Tust me. I took the quiz.

Answer:

B) a reflection of the point across the y-axis

Step-by-step explanation:

what is 3+3-2 divided by 2

Answers

3+3=6
6-2=4
4/2=2
Answer=2

please solve 4x - 3(x - 2) = 21

Answers

Answer:

x = 15

Explanation:

4x-3(x-2)=21

4x-3x+6=21

x+6=21

x=15

X=15 I got 100 on the quiz

Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?

Answers

Answer:

15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

= (4 × 3 + 3)/4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds = 15/16 × 16 ounces.

= 15 ounces

Answer:

2.0625 or 2 1/16

Step-by-step explanation:

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