For each problem, identify any important quantities. If it's a known quantity, write the
number and a short description of what it represents. If it's an unknown quantity, assign a variable to represent it and write a short description of what that variable represents.


Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each.

Answers

Answer 1

Answer:

We have the problem:

"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has

$35 to go to the store to get some supplies. The snacks for herself and her friends cost

$3.25 each, and her dog's snacks costs $9 each."

In this situation we have two variables:

X =  number of snacks for herself and her friends that she buys. Each one of these costs $3.50

Y = number of snacks for her dog that she buys. Each one of these costs $9.

The total cost, in this case, can be written as:

X*$3.50 + Y*$9

And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:

X*$3.50 + Y*$9  ≤ $35

Where we defined all the quantities in the inequality.


Related Questions

Which graph shows a line with a slope of 3?

Answers

Answer:

The first graph shows a slope of 3.

Step-by-step explanation:

If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.

Linear equations

Show your work

Solve for x

x-4/y+2 = 5

Answers

Answer:

X-4\y+2=5 + -34(987)=10,111

Step-by-step explanation:

Add that at the top plus your answer you got then you got it

What is the distance between the points (7,5) and (7, -8) on a coordinate plane?

Answers

Answer:

It should be 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Since 5 is positive and 8 is negative, then you can just add the two.

5 + 8 = 13

Or use the distance formula:

Distance = [tex]\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1})^{2} }}\\\\\sqrt{(7 -7) ^{2} + (5 - (-8)) ^{2}}\\\\\sqrt{0 + 169} \\\\Approximately 13\\[/tex]

Last years' survey of blood type on 100 Ethiopian servals that 20 peoples have blood type A, 30 peoples have type B, 40 peoples have type O and the remaining have type AB. What is the probability of getting an Ethiopian with blood type A and AB?

Answers

Answer:

30%.

Step-by-step explanation:

The probability of getting an Ethiopian with blood type A is [tex]\frac{20}{100} \cdot 100%%[/tex], which equals to 20%, while the probability of getting an Ethiopian with blood type AB is [tex]\frac{100-40-30-20}{100} \cdot 100%[/tex], which equals to [tex]\frac{10}{100} \cdot 100%[/tex] and hence 10%. Therefore, just add the two probabilities together to get 20% +10% = 30%.

Hope this helped!

10. What is the area of a triangle with base 4cm and
height 8cm?
A. 6cm2 B. 9cm2 C. 14cm D. 16 cm

Answers

Step-by-step explanation:

Area of triangle = 0.5(4)(8) = 16cm² (D).

please i really really need help BRAIBLIST ASAP

Answers

After 10 years Lori will have 27 dollars more than Darryl (I took the test)

I need some help lol

Answers

Answer:

the answer is c i had the same test

An 8 inch long diagonal in a rectangle makes an angle of 22 with a length of the rectangle. What is the length of the rectangle to the nearest tenth?

Answers

The correct Answer is 7.4

The number of visits to public libraries increased from 1.3 billion in 1994 to 1.6 billion in 1999. Find the average rate of change in the number of public library visits from 1994 to 1999.

Answers

Answer: 60 million per year

Step-by-step explanation:

The average rate of change in the number of public library visits from 1994 to 1999 will be calculated thus:

Average rate of change = change in number of vists in billions / number of years passed

= (1.6 billion - 1.3 billion) / 1999 - 1994

= 0.3 billion/5

= 60,000,000

= 60 million per year

Which of the following statements are true? Select all that apply.
HELP PLEASE!

Answers

C is not correct I took the test

A line passes through (-2, 10) and (8.-9). Write an equation for the line in point-slope
form AND rewrite the equation in standard form using integers.

Answers

Merry Christmas and Happy Holidays!!! <3

Answer:

The Standard Form of the equation of a line is:   Ax+By=C

Converting that, once and forevermore, into slope-intercept form, and remembering the result,

      the slope m=(-A/B).

 

If the given slope is 8, the equation of the line is 8x-y=C and we a point to determine C.  Use (2,10)

      8(2)-10=C

         6 = C

 

The equation of the line, in Standard Form, is:    8x - y = 6

At the end of a pizza party, 13 of a cheese pizza and 16 of a pepperoni pizza were left. Brad ate 12 of all the leftover pizza. What fractional part of a whole pizza did Brad eat?

112

16

19

14

Answers

Answer:

i think it is c or b but go with you gut feeling

Step-by-step explanation:

-3/7 × - 1 2/3
what is the answer ​

Answers

Answer:

[tex]\boxed{\frac{5}{7} }[/tex]

Step-by-step explanation:

[tex]-\frac{3}{7} \times (- 1 \frac{2}{3} )[/tex]

[tex]= -\frac{3}{7} \times (- \frac{5}{3} )[/tex]

[tex]= \frac{5}{7}[/tex]

Answer:

5/7

Step-by-step explanation:

do you get the answer?

A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental

Answers

Answer:

Observational would mean that he (farmer) has no direct impact or change on the statistical study.Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.Hence we can determine that the the study was an experimental one.

Indicate the answer choice that best completes the statement or answers the question.
The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 |80 120 160 1200
Cost (S)
14.00 8.00 12.00 16.00 120.00

Answers

Answer: hold on you didn’t give enough info for this to make sense

Step-by-step explanation:

Please Help!!! :( I don't understand

Answers

Answer:

Step-by-step explanation:

You would do

4×18.5 =74

2×6.75 =13.5

14×7/8 =12.25

Add all that up and it equals 99.75lbs/pounds

If I have 12345678910 bananas and I take 12345678910 away, how many bananas do I have left?

Have a nice day :D

Answers

zero :( no bananas

12345678910 - 12345678910 = 0

PLEASE HELP!
Given that m∠NMP=(5y+11)∘ and m∠OMP=(8y−13)∘, identify m∠NMO.

Answers

Answer: 102

Step by Step Explanation:

5y+11=8y-13

-8      -8y

-3y+11=-13

     -11  -11

    3y = -24 = 8           y=8

    3y     3y

5(8)+11=51

Multiple 51 times 2 and you're answer will be the following.

Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.
How much did Samson deposit when he opened the account? Enter your answer in the box.

Answers

Step-by-step explanation:

find something open a bank account with 1.25% singing to the total amount of inches 10 NFL 2808 how much they served in the position he opened their account enter your answer is also came and there's nobody here so I'll just answer on the line so you come soon open a bank account with 1.5 interest amount of Interest some to Hereford Texas ezy842 1.25 then after then get her answer is x * 20

The amount of deposit when he opened the account will be $650.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.

Then the amount of deposit when he opened the account will be given as,

A = P + I

812.5 = P + (P x 1.25 x 20)/100

812.5 = P [1 + 0.25]

812.5 = 1.25P

P = $650

The amount of deposit when he opened the account will be $650.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2

2. If a certain disease is found in 1 out of 12,000 people, what is the probability that there will be at least one person with that disease in a town of 24,000 people

Answers

Answer:

0.865

Step-by-step explanation:

Given that:

Disease is found in 1 out of 12000 people ; probability that disease is found in atleast one out of 24000 people

Using the binomial probability formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p = 1/ 12000 = 0.0000833333

n = 24000

P(x ≥ 1) = p(x = 1) + p(x =2) + ... + p(x = 24000)

In other to save computation time, we can employ the use of an online binomial probability calculator or a Ti-89 calculator :

The result is thus : 0.86467588659

P(x ≥ 1) = 0.865

Help Me Please. and I will help you

Answers

Answer:

[tex]AB = 8.38[/tex]

Step-by-step explanation:

Given

[tex]AC = 9[/tex]

[tex]BC =10[/tex]

[tex]\angle B = 52[/tex]

Required

Determine AB

This question will be answered using the cosine law.

[tex](AB)^2 = (AC)^2 + (BC)^2 - 2(AC)(BC)\ \cos \angle B[/tex]

Substitute the expected values

[tex](AB)^2 = 9^2 + 10^2 - 2 * 9 * 10 * cos(52)[/tex]

[tex](AB)^2 = 81 + 100 - 180* cos(52)[/tex]

[tex](AB)^2 = 181 - 180* cos(52)[/tex]

[tex](AB)^2 = 181 - 180* 0.6157[/tex]

[tex](AB)^2 = 70.174[/tex]

Take square roots of both sides

[tex]AB = \sqrt{70.174[/tex]

[tex]AB = 8.38[/tex] -- approximated

x^3*x^?=x^17 I don't know what the is.

Answers

Answer:

14

Step-by-step explanation:

x^3*x^?=x^17x^(3 + ?) = x^173 + ? = 17? = 14

Answer:

First write the given equation

[tex]{:}\xrightarrow{ }\tt x^3×x^?=x^17 [/tex]

Simplify

[tex]{:}\longrightarrow\tt x^{(3+?)}=x^17[/tex]

[tex]{:}\longrightarrow\tt 3+?=17 [/tex]

Interchange sides

[tex]{:}\longrightarrow\tt ?=17-3 [/tex]

[tex]{:}\longrightarrow\tt ?=14 [/tex]

Explore more:-Formulas of exponents:-

[tex]\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}[/tex]

One week, Madelyn earned $265.60 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $199.20?

Answers

Answer:

12 hours

Step-by-step explanation:

1. Start by dividing $265.60 by 16 hours to calculate the amount earned per hour.

$265.60 / 16 hours = $16.60/hr

2. Now, divide the new amount earned by her hourly wages (16.60)

199.20/16.60 = 12 hours

Solve. Please show your work

Answers

Answer:

128

Step-by-step explanation:

8^2√2^2

64√2^2              rewrite √2^2 as 2

64*2

=128

The zoo needs to hire b staff members for each exhibit. Write the expression for
the number of staff members they need to hire for 20 exhibits.

Answers

Answer:

feed them to the lions

Step-by-step explanation:

rawr

The difference in the price of 2 video games is $8.25. If one video game costs $19.50, which of the answer choices could represent the price of the other video game?

Answers

It’s either 11.25 or 27.75. Next time please show the answer choices too!

Answer:

the correct answer would be 11.25 or 27.75 unless the answer choices were some type of ratio

Step-by-step explanation:

HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST

Answers

Answer:

[tex]n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2[/tex]

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

I guess you want the value of n

-----------------------------------------------------------

Since n is the index of q, you can simply

ignore all p and r stuff and make it

[tex]q^{2}[/tex]×[tex]q^{n}[/tex] = [tex]q^{5}[/tex]

[tex]q^{2+n}[/tex] = [tex]q^{5}[/tex]

2 + n = 5

n = 3

Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get wrong? PLS ANSWER FASTTT!! :)

Answers

Answer:i think it is like 17

Step-by-step explanation:

Please draw it on your paper or something and show it

Answers

Answer:

Parallel lines are line AB and line CD

and line BC and line AD

Step-by-step explanation:

(notation wise, put a line on top of the letters to show it is a line segment)

drawing shown below

please give thanks by clicking the heart button :)

The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.​

Answers

Using proportions, it is found that it takes 525,960 minutes for the earth to travel one full rotation around the sun.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

One day has 24 hours of 60 minutes, hence the number of minutes in a single day is given by:

Md = 24 x 60 = 1440 minutes.

Hence, the number of minutes in 365.25 days is given by:

My = 1440 x 365.25 = 525,960 minutes

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

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