A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 membership fee and $5 for each class. The second program does not have a membership fee, but charges $10 for each class. For how many classes will the programs cost the same? If the variable c represents the number of classes, what is the other variable for the scenario? d, representing the number of dogs in each class h, representing the number of hours p, representing the number of programs t, representing the total cost.

Answers

Answer 1

Answer:

7?

Step-by-step explanation:

Answer 2

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say [tex]t_{1}[/tex], for first program can be written in equation form as,

[tex]t_{1} =35+5c[/tex],  here c is the no. of classes.

Similarly, the total cost say [tex]t_{2}[/tex] , for second program can be written in equation form as,

[tex]t_{2} =10c[/tex].

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

[tex]t_{1} =t_{2}[/tex]

[tex]35+5c=10c\\10c-5c=35\\5c=35\\c=7[/tex]

Hence for 7 of classes the programs cost the same.

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Related Questions

what is the number of terms for 1000z + 800y​

Answers

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

you buy 5 pounds for 35 how much dose one pound cost

Answers

Answer: 35 divided by 5 = 7.

Step-by-step explanation: therefore one pound is $7

If f(x) = 1 - X, which value is equivalent to Ol?
O o
1
2
V-1

Answers

The answer to your question is 1

Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1. 6. What is the margin of error, assuming a 99% confidence level? 4. 12 0. 01 0. 20 20. 5.

Answers

The margin of error of the random selection is 0.20

The given parameters are:

[tex]n = 420[/tex] --- the sample size

[tex]\sigma = 1.6[/tex] --- the standard deviation

[tex]\bar x = 10[/tex] --- the mean

[tex]\alpha = 99\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]

[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]

[tex]E = 2.576 \times \sqrt{0.006095}[/tex]

Take square roots

[tex]E = 2.576 \times 0.0781[/tex]

Multiply

[tex]E = 0.2012[/tex]

Approximate

[tex]E = 0.20[/tex]

Hence, the margin of error is 0.20

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Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?

An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.

Question options:

2 units


6 units


12 units


4 units

Answers

Answer:

DE = 12

Step-by-step explanation:

Consider Δ ABC

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

D and E are the midpoints of 2 sides of the triangle, then

DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12

Evaluate 4(2a – b) when a = –1 and b = 5.


–48


–28


–12


32

Answers

4(2(-1)-5)
4(-2-5)
4(-7)
=-28 (B)

Hey There!

Question:-

[tex]\sf \longmapsto \: 4(2a - b)[/tex]

This is a algebraic expression. The values of a and b are given. The values are as follows :-

a = -1

And,

b = +5 .

Solution:-

[tex]\sf \longmapsto4(2a - b)[/tex]

Note that a is multiplied with 2 that is :-

[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]

Now, Insert the values that is a = -1 and b = 5 :-

[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]

Here,we need to follow BODMAS Rule.

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

We need to solve the bracket's calculations first as it is the rule.

So, Firstly Multiply (2 × -1) :-

[tex]\sf \longmapsto4( - 2 - 5)[/tex]

Note that, (-) × (-) equals to (+).

So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.

[tex]\sf \longmapsto4( 5+ 2)[/tex]

On Simplification:-

[tex]\sf \longmapsto4( - 7)[/tex]

[tex]\sf \longmapsto4 \times (- 7)[/tex]

[tex]\sf \longmapsto \: - 28[/tex]

______________________________________

Henceforth the solution of the algebraic expression is :-

[tex] \bf \:- 28[/tex]

Option B is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)

Answers

Answer:

y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]

Step-by-step explanation:

First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.

When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].

Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).

-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b

-1 = [tex]\frac{20}{3}[/tex] + b

b = -[tex]\frac{23}{3}[/tex]

After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].

(−7c+8d)0.6

khan academy pls help.

Answers

Answer:

[tex]\sf -4.2c+4.8d[/tex]

Step-by-step explanation:

[tex]\sf \left(-7c+8d\right)\cdot \:0.6[/tex]

[tex]\sf 0.6\left(-7c+8d\right)[/tex]

Apply distributive property

[tex]\sf 0.6\left(-7c\right)+0.6\times \:8d[/tex]

[tex]\sf -4.2c+4.8d[/tex]

Have a good day!

0.9 ÷ 13 = ____
0.0707÷ 70=____
32.27 ÷ 55=_____
18.2 ÷ 51=_____

Answers

.0692307
.00101
.58672727
.35686275


The sum of two numbers is 20. One number is 3 times the other number. Find the two numbers, show your work

Answers

Answer:

5 and 15

Step-by-step explanation:

20 = 3x+x

Answer: The smallest number is 20, and the largest number is 27. (27 - 20) + 1 = 8. Eight numbers make 4 pairs, and the sum of each pair is 47. 4 x 47 = 188. The sum of the numbers from 20 to 27 is 188.

(PLEASS HURRY IM BEING TIMED)

(05.03 MC) Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences. (10 points) Edit View Insert Table Format Tools 12pt v Paragraph v B B I U Av 2 T?v:



(Giving Brainliest)​

Answers

Looks like you have 2 similar triangles.

all the angles from one triangle are congruent to all the angles from the other triangle.

The sides must be proportional.

Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.

Cross multiply h to get 6*25 = 5*x.

Divide both sides of the equation by 5 to solve for x to get:

x = 6*25/5 = 6*5 = 30.

There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking. What is the maximum number of green apples I could have left to cook with?​

Answers

Step-by-step explanation:

72 apples.

38 red, and therefore 72-38 = 34 green.

46 have worms, therefore 72-46 = 26 have not.

and so, in the best case you have 26 green apples without worms.

y = one-fourth x minus 6 be determined? Explain.

Answers

Answer:

Step-by-step explanation:

For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.

We will see that both domain and range are the set of all real numbers.

D = (-∞, ∞)

R = (-∞, ∞)

Here we have the function:

The first thing we need to do is find the domain.

We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.

Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).

Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.

Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.

Then the range will also be the set of all real numbers.

Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 2 miles per hour. After 5 hours, they are 315 miles apart. What are the rates of the trucks?

Answers

Step-by-step explanation:

the slower truck travels x miles in 5 hours.

the faster truck travels x + 5×2 = x + 10 miles in 5 hours.

so,

x + x + 10 = 315 miles

2x = 305 miles

x = 152.5 miles (in 5 hours)

therefore, the slower truck's speed was 30.5 mph.

the faster truck's speed was 30.5 + 2 = 32.5 mph.

Eugene is purchasing clothing to make different outfits. Each outfit consists of a top, a bottom and a pair of shoes. Eugene found 2 pairs of shoes and 4 bottoms he would like to purchase. What is the minimum number of tops Eugene needs to purchase to make at least 35 different outfits? Express your answer as a whole number.​

Answers

Answer:

70

Step-by-step explanation:

7.2 divided by 450 !!

Answers

Answer:

62.5

Step-by-step explanation:

help please!!!!! I need it ​

Answers

Answer:

it is 7x-4

Step-by-step explanation:

if 1 orange cost 30 cents how many oranges can you buy for 10.50

Answers

Answer:

300!! I think...

Step-by-step explanation:

30 x 10 = 300

If you divide .30 by 10.50, you get 30. So, you can buy 30 oranges for a total of 10.50 when each orange is .30.

What are the zeros of this function?
A. x=0 and x=-6
B. x=0 and x=5
C. x=0 and x=-5
D. x=2 and x=-6

Answers

Answer:

c i dont know

Step-by-step explanation:

Answer:

Definitely not C

Step-by-step explanation:

5. Find mTOS in the figure below.

Answers

Applying the definition of a linear pair, m∠TOS = 52°

Recall:

Linear pair are two angles on a straight line whose sum equals 180°.

Given:

m∠TOU = 128°m∠SOV = (4x + 8)°

m∠TOU + m∠TOS = 180° (linear pair)

Substitute

128° + m∠TOS =  180°

Subtract 128° from both sides of the equation

m∠TOS = 180° - 128°

m∠TOS = 52°

Thus, applying the definition of linear pair, m∠TOS = 52°

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HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4) a₁₅ = 128

5) B. [tex]a_n=a_{n-1}+6[/tex]

Step-by-step explanation:

4)

This is an arithmetic sequence, where all terms have a common difference:

[tex]a_n=a_1+(n-1)d[/tex]

Here, the common difference is 9.

[tex]11-2=9\\20-11=9[/tex]

Use that to write the equation and solve for a₁₅:

[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]

5)

This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:

[tex]a_n=a_{n-1}+d[/tex]

This simply states that each term is d more than the term before it.

Here, the common difference is 6:

[tex]2--4=6\\8-2=6\\14-8=6[/tex]

And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]

hlo math genius plz help no spam !!! (*°*°)
the area of a rectangle field 1800 m2 .If the ratio of length and breadth is 5:4, find itz perimeter​

Answers

Let

Length=5xBreadth=4x

ATQ

[tex]\\ \sf{:}\longrightarrow Area=1800[/tex]

[tex]\\ \sf{:}\longrightarrow Length(Breadth)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 5x(4x)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 20x^2=1800[/tex]

[tex]\\ \sf{:}\longrightarrow x^2=900[/tex]

[tex]\\ \sf{:}\longrightarrow x=30[/tex]

Length=L=5(30)=150mBreadth=B=4(30)=120m

[tex]\\ \sf{:}\longrightarrow Perimeter=2(L+B)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(150+120)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(270)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=540m[/tex]

Can you guys help me find the sum TnT
(7−b)+(3b+2)

Answers

Answer:

2b+9

Step-by-step explanation:

What is the exact value of tan(−π4)?

Enter your answer in the box.

Answers

Answer:

What is the exact value of tan(−π4)? is 20

IF YOUR QUESTION IS...

What is the exact value of tan(-pi/4)?

Answer: -1

help me please!!!!!!!

Answers

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

this is the next question. Solve: 8( 4 - 2^{6} ÷ 4)

Answers

8(4-2^6/4)
8(4-64/4)
8(4-16)
8(-11)
-88

Hey there!

8( 4 - 2^{6} ÷ 4)

= 8( 4 - 2^6 ÷ 4)

2^6

= 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4

= 16 * 4

= 64

= 8(4 - 64 ÷ 4)

= 8(4) + 8(-16)

= 32 - 128

= -96

Therefore, your answer is: -96

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

. Mahesh worked in a firm for a certain number of years which equals
the sum of degrees of + − +
and

+

+ . Find the number of years he worked.

Answers

The sum of numbers or expression involves adding the expressions and the numbers together.

Assume that the sum of the degrees is given as:

[tex]Sum = 3 + 4 - 2 + 1[/tex]

The above sum can be rewritten as:

[tex]Sum = 3 + 4 +(- 2) + 1[/tex]

Take the sum of all the numbers (including -2 in bracket)

[tex]Sum = 6[/tex]

If the sum of the degrees is given as [tex]Sum = 3 + 4 - 2 + 1[/tex], then the number of years he worked would be 6

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What is the area of the square?



32 square units
64 square units
24 square units
16 square units

Answers

Answer is 64 square units

Answer:

64 square units

Step-by-step explanation:

All you have to do is multiply 8 by 8 to get 64.

The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.

Answers

Here is a diagram explaining the information

A piece of metal with a length of 2. 83 cm was measured using four different devices. Which of the following measurements is the most accurate? 2. 837 cm 2. 829 cm 2. 812 cm 2. 805 cm.

Answers

Answer:

2.829 mm

Step-by-step explanation:

Correct:  2.83 mm

Measured(mm)    Difference (mm)

2.837             0.007

2.829            -0.001  Smallest deviation from actual.

2.812            -0.018

2.805            -0.025

The measurement of the piece of metal that is the most accurate is 2.837 cm.

Given that,

A piece of metal with a length of 2.83 cm was measured using four different devices.

We have to determine,

Which of the following measurements is the most accurate?

According to the question,

A piece of metal with a length of 2.83 cm was measured using four different devices.

Accuracy is the degree to which the measured value is close to the correct value.

The difference between the accepted value and the measured value of the quantity is called the error of measurement.

The measurement for the first device is,

[tex]=2.83 - 2.837\\\\=-0.007[/tex]

The measurement of the first device is -0.007.

The measurement for the second device is,

[tex]=2.83 - 2.829\\\\=-0.001[/tex]

The measurement of the second device is -0.001.

The measurement for the third device is,

[tex]=2.83 - 2.812\\\\=-0.018[/tex]

The measurement of the third device is -0.018.

The measurement for the fourth device is,

[tex]=2.83 - 2.805\\\\=-0.025[/tex]

The measurement of the fourth device is -0.02.

Hence, The measurement that is the most accurate is 2.837 cm.

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