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Mr. Torrence goes to La Jalpita to buy rolled ice cream. An ice cream with no toppings is $2.50 and

every topping is priced at $0.29 each. Show your work and justify your answers.

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a) Write an algebraic equation to find the total cost (C) for ice cream depending on (t), the number of

toppings. Label the variables.

...

Equation: C=0.295 +2.50

b) Using the equation you wrote, calculate (algebraically) how many toppings Mr. Torrence can buy if

he wants to spend only $4.00 on it?

func

Apps

al

1

Answer: Mr. Torrence can get

toppings if he only has $4.00 to spend.

Help

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Answers

Answer 1

Answer:

(a) C = 0.29t + 2.50

(b) 5

Step-by-step explanation:

The variables are defined as follows:

t = the number of  toppings

C = total cost for ice cream

It is provided that:

An ice cream with no toppings is $2.50.Every topping is priced at $0.29 each.

(a)

The algebraic equation to find the total cost for ice cream depending on the number of  toppings is:

C = 0.29t + 2.50

(b)

Compute the number of toppings Mr. Torrance can buy if  he wants to spend only $4.00 on it as follows:

C = 0.29t + 2.50

4.00 = 0.29t + 2.50

0.29t = 4.00 - 2.50

0.29t = 1.50

t = 5.1724

t ≈ 5

Thus, Mr. Torrance can buy 5 toppings.


Related Questions

5 divided by 1/4
a 10
b 5/4
c 1/20
d 20

Answers

Answer:

d

Step-by-step explanation:

it would be 5 x 4/1 and u would get 20/1

- when dividing with a fraction u have to do keep, change, flip

or just plug it into a calculator :))

Answer:

D. 20

Step-by-step explanation:

5 / (1/4) =20

5/.25=20

Which equation shows y=3x−15 in standard form?

A. 15x−5y=1

B. 15x+5y=−1

C. 5x−15y=1

D. 5x−15y=−1

Answers

Answer:

c  5x -15y =1

Step-by-step explanation:

5x-15y=1

-5x -15y= 1 -5x     change the signs on both sides of the equation

     15y = -1 +5x      divide both sides by 15

         y = -1/15 + 1/3 x    Reorder the terms

         y = 3x-15

              :)

     

     

All options are wrong here.

Given equation is  [tex]y=3x-15[/tex].

the equation given here is in form of [tex]y=mx+c[/tex] . The general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis) .

We have to write [tex]y=3x-15 \\[/tex] in standard form.

The standard form for linear equations in two variables is Ax+By=C.

Now we convert [tex]y=3x-15[/tex] in standard form.

Here [tex]y=3x-15\\[/tex]

[tex]y-3x=-15\\\\-y+3x=15[/tex]

[tex]3x-y=15[/tex]

But no options match with the above standard form of equation.

Hence all options are wrong here.

For more details on standard form for linear equations follow the link:

https://brainly.com/question/7380540

Select all the proper fractions.

Answers

Answer:

what are the fractions?

Step-by-step explanation:

Answer:

Step-by-step explanation:

c. One sixth of a number is 15. What is the number?
Please explain step by step.

Answers

Answer:

90

if 15 is 1 6th then yo need 5 more 15s to find out the whole number

Find the Least Common Denominator of the fractions 5/8 , 1/2 , and 5/6

Answers

5/8=2 1/2=1 5/6=2 would be the denominator of the fractions

The Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.

What is least common denominator?

The smallest number that can serve as a common denominator for a group of fractions is known as the least common denominator (LCD), also known as the lowest common denominator. The "smallest non-zero common number," a multiple of both numbers, is the least common multiple of two numbers.

How to solve it?

Here, the given fractions are 5/8, 1/2, and 5/6.

So, we have to find the least common multiple of 8, 2, and 6 [Since they are the denominators of our given fractions].

8 = 2*2*2

2 = 2*1

6 = 2*3

So LCM of 8, 2, and 6 is 2*2*2*3 = 24

Therefore the Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.

Learn more about Least Common Denominator here -

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Adriana had 5.15 grams of pepper. Then she used 0.71 grams of the pepper to make some scrambled eggs. How much pepper does Adriana have left?

Answers

Answer:

the answer is 4.98

Step-by-step explanation:

you subtract 0.17 from 5.15 you will get 4.98

Question 1 of 3 NE A scale drawing of a fishing boat has a scale of 1 cmn to 2 meters. If the length of the fishing boat is 6 cm on the scale drawing, what is the actual length of the fishing boat?​

Answers

Answer:

12 meters

Step-by-step explanation:

Given

[tex]Scale= 1cm:2m[/tex]

Required

Determine the measurement when the scale reads 6cm

Represent this scale with x;

Such that:

[tex]Scale = 6cm:x[/tex]

Equate

[tex]Scale= 1cm:2m[/tex] and [tex]Scale = 6cm:x[/tex]

[tex]1cm:2m = 6cm:x[/tex]

Express as fraction

[tex]\frac{1cm}{2m} = \frac{6cm}{x}[/tex]

Cross Multiply

[tex]x * 1cm = 6cm * 2m[/tex]

[tex]x * 1 = 6 * 2m[/tex]

[tex]x = 6 * 2m[/tex]

[tex]x = 12m[/tex]

Write a linear function f with f(-3)=1 and f(13)=5

Answers

Answer:

[tex]y = \frac{1}{4}x +\frac{7}{4}[/tex]

Step-by-step explanation:

Given

[tex]f(-3) = 1[/tex]

[tex]f(13) = 5[/tex]

Required

Determine the linear function

A function is of the form:

[tex]y = f(x)[/tex]

Writing the given parameters in (x,y) format, we have:

[tex]f(-3) = 1[/tex] implies (-3,1)

[tex]f(13) = 5[/tex] implies (13,5)

So, the x and y values are:

(-3,1) and (13,5)

i.e.

[tex](x_1,y_1) = (-3,1)[/tex]

[tex](x_2,y_2) = (13,5)[/tex]

First, we need to determine the slope using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5 - 1}{13 - -(3)}[/tex]

[tex]m = \frac{4}{13 +3}[/tex]

[tex]m = \frac{4}{16}[/tex]

[tex]m = \frac{1}{4}[/tex]

The equation is calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (-3,1)[/tex]

[tex]m = \frac{1}{4}[/tex]

[tex]y - 1 = \frac{1}{4}(x - (-3))[/tex]

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

[tex]y = \frac{1}{4}(x +3) + 1[/tex]

[tex]y = \frac{1}{4}x +\frac{3}{4} + 1[/tex]

[tex]y = \frac{1}{4}x +\frac{3+4}{4}[/tex]

[tex]y = \frac{1}{4}x +\frac{7}{4}[/tex]

2m^2 + 5m + 16 = 8
Solutions: ____
Show work:
Step 1: Equation to complete the square
Step 2: Show work here to find the c-value.
Step 3: Show work here to factor: (Don’t forget the sign of the binomial)
Step 4: Show work for solving for both roots.

Answers

Answer:

there is no solution for this equation

What is the product of the binomials below? (D+1)(d-2)(d+3)

Answers

The answer is d^3 - 6

Umm i need help and i forgot to put the picture da first time so yeaa

Answers

Answer:

75  14  12,600  781  128  399  26.13  40.80    12,750

Step-by-step explanation:

Hope this helps

Answer:

7. 100

8. 14

9. 12600

10. 639

11. 128

12. 399

13. Discount price= 12.87 Sale price= 26.13

14. 40.80

15. 12,750

I'm not 100% on #15 but the rest are good.

Step-by-step explanation: When you multiply the percent by the other number that gives you the difference. So then get the original number and either add or subtract the difference from the original number to get your answer. Add if increase Subtract if decrease.

So 7-11 you just have to multiply the percent by the other number.

7. 25*300% or 25*3 = 75  25 + 75 = 100

8. 56*.75 = 42  56-42= 14

9. 12000*.05 = 600 (since it is an increase add 600 to 12000) = 12600

10. 710*.10= 71 (71 is the difference so do this) 710-71= 639

11. 160*.20 = 32 (decrease) 160-32= 128

12. 380*.05=19 (increase) 380+19 = 399

13. 39*.33= 12.87 (decrease)

Discount price = 12.87

Sale price= 39-12.87= 26.13

14. 48*.15 = 7.20 (decrease) 48-7.20= 40.80

15. 3,000*3.25 = 9750 (increase) 9750 + 3000= 12,750

What Is f(0) ?

Choices
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1 2 and 12

Answers

Answer:

12 only

Step-by-step explanation:

It means x is zero, and the only point on x=0 is 12 :)

According to the graph the function  f(0) is  12 only .

What is intercepts?

The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.

According to the question

The graph shows the function in which

f(0) is

i.e

x = 0  or y intercept

Now, according to the graph

at x = 0 , y = 12

Or

f(0) = 12

Hence, The function  f(0) is  12 only .

To know more about intercepts here:

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Numbers like 10,100,1,000, and so on are called?

Answers

Answer:

They are called powers of ten

Step-by-step explanation:

. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments

Answers

Answer:

Decision rule  is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence that indicate that there is a significant difference between the two treatments

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  12

    The first  mean is  [tex]M_1  =  55[/tex]

    The variance is  [tex]s^2_1 =  8[/tex]

    The second mean is  [tex]M_2  =  52[/tex]

     The second variance is [tex]s^2_2 =  4[/tex]

Let the level of significance be  [tex]\alpha  =  0.05[/tex]

The null hypothesis is  [tex]H_o  :  M_1 = M_2[/tex]

The alternative hypothesis is [tex]H_a  :  M_1 \ne M_2[/tex]

  Generally the test statistics is mathematically

     [tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]

=>   [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]

=>   [tex]t = 1.1619 [/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = 12 -1[/tex]

=>    [tex]df = 11 [/tex]

Generally  from the t- distriibution table the critical  value  of  [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex]  is

    [tex]t_{0.05 , 11} =  2.20098516[/tex]

Here given that the critical value is greater than the t statistics value the

Decision rule  is  

Fail to reject the null hypothesis

 The conclusion is  

There is sufficient evidence that indicate that there is a significant difference between the two treatments

What is the opposite of the opposite of -1.4?​

Answers

Answer:

-1.4

Step-by-step explanation:

opposite of -1.4 = 1.4

opposite of the opposite of -1.4 = the opposite of 1.4 = -1.4

-1.4 djkendnennd!;&2!;&2!;!2!!;

Which expression represents 7 less than a number

Answers

Answer:

Step-by-step explanation:

x-7=18 because x would be the number with "7 less"  being the "-7."

Compare decimals in differ
Order the values from least to greatest.
91 hundredths
(1x1)+ (9
(1x)
1
10
0.19
Stuck? Watch a video or use a hint.

Answers

Answer:

hehaw

Step-by-step explanation:

0.19, 91 hundredths, then the equation

Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.

Answers

Answer:

The age of pluto is:

5,560,000,000 years old = 5.56 × 10⁹ years old

x = 5.56

y = power of 9

Step-by-step explanation:

Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.

We write this in standard form or scientific notation.

5,560,000,000 years old = 5.56 × 10⁹ years old

x = 5.56

y = power of 9

The sum of three consecutive odd numbers is 297, what are they? Create an equation and solve.

Answers

Answer:

98 + 99 + 100 = 297

Step-by-step explanation:

Using the model of 3.33, how dose the 3 in the one place compare to the 3 in the place to its right

Answers

Answer:

The 3 in the tens place is worth 10 times the 3 in the ones places.

Step-by-step explanation:

Have a great day :)

Question
Find the average rate of change of the function f(x). given below, from x = -1 to x = 4.
f(x) = -x^3+5x^2

Answers

Step-by-step explanation

x=-1

x=4

f(x)= x^3+5x^2

22-3(4)
How do I answer this question?

Answers

Answer:

76

Step-by-step explanation:

22-3=19

19x4=76

I’m not sure earthier but I thing you would do
22-3= 19
19 * 4= 76
I hope this helps! It’s my first time giving an answer

PLEASE HELP!!!!!!! Which set of numbers is arranged in decreasing order?

Answers

Answer:

C

Step-by-step explanation:

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solutions~Steps:}[/tex]

[tex]1.)~Simplify~everything~into~decimal~form:[/tex]

[tex]\bold{2\pi}[/tex][tex]\bold{6.283185307}[/tex][tex]\bold{\sqrt{37}}[/tex][tex]\bold{6.08276253}[/tex][tex]\bold{\frac{55}{9}}[/tex][tex]\bold{6.111111111}[/tex]

[tex]2.)~Round~to~the~nearest~hundredth :[/tex]

[tex]\bold{2\pi:6.283185307=6.28}[/tex][tex]\bold{\sqrt{37}:6.08276253=6.08}[/tex][tex]\bold{\frac{55}{9}:6.111111111=6.11}[/tex]

[tex]3.)~Order~them~in~decreasing~order,~(Greatest~to~Least:)[/tex]

[tex]\bold{6.82}[/tex][tex]\bold{2\pi}[/tex][tex]\bold{\frac{55}{9}}[/tex][tex]\bold{\sqrt{37}}[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

[tex]\bold{The~correct~decreasing~order~is~\boxed{C.}}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

2x + 7 = 13
Please help

Answers

Answer:

x=3

Step-by-step explanation:

Hope this helps u..

Pls help 8th grade math
FILL IN THE BLANKS !!

Answers

answers in picture................

Initially a pool contains 340 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.2 gallons of water per minute. Write an equation to represent the total amount V of water in the pool in terms of x, the number of minutes the hose has been on.

Answers

Answer: Amount of water that is turned in a minute is 5.2d. Given the fact that initially was 350 gallons of water everything you pour needs to be added to the initial amount. So the answer is V(x) = 350 + 5.2x   

thank me plz brainliest

Step-by-step explanation:

3-2/7 divided by 1-1/4

Answers

3-2/7 = 0.14285714
1-1/4 = 0/4

Five companies (A, B, C, D, and E) that make elec- trical relays compete each year to be the sole sup- plier of relays to a major automobile manufacturer. The auto company’s records show that the probabili- ties of choosing a company to be the sole supplier are Supplier chosen: A B C D E Probability: .20 .25 .15 .30 .10 a. Suppose that supplier E goes out of business this year, leaving the remaining four companies to compete with one another. What are the new probabilities of companies A, B, C, and D being chosen as the sole supplier this year? b. Suppose the auto company narrows the choice of suppliers to companies A and C. What is the probability that company A is chosen this year?

Answers

Answer:

a

  [tex]P(a | e') =  0.22[/tex]

  [tex]P(b | e') =  0.28[/tex]

  [tex]P(c | e') =  0.33[/tex]

b

  [tex]P(a | e' , d' , b') = 0.57  [/tex]

Step-by-step explanation:

From the question we are told that

   The probabilities are

Supplier  chosen            A                     B                    C            

Probability                P(a) = 0.20       P(b) =  0.25   P(c) =  0.15      

                                       D                      E

                                P(d) =  0.30     P(e) = 0.10

Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

[tex]P(a | e') =  \frac{P (a \  and \  e')}{P(e')}[/tex]

      [tex]P(a | e') =  \frac{P (a)}{P(e')}[/tex]

     [tex]P(a | e') =  \frac{P (a)}{1- P(e)}[/tex]

=>   [tex]P(a | e') =  \frac{ 0.20}{1- 0.10}[/tex]

=>   [tex]P(a | e') =  0.22[/tex]

Generally the new probability of companies B  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

[tex]P(b | e') =  \frac{P (b \  and \  e')}{P(e')}[/tex]

      [tex]P(b | e') =  \frac{P (b)}{P(e')}[/tex]

     [tex]P(b | e') =  \frac{P (b)}{1- P(e)}[/tex]

=>   [tex]P(b | e') =  \frac{ 0.25}{1- 0.10}[/tex]

=>   [tex]P(b | e') =  0.28[/tex]

Generally the new probability of companies C  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

[tex]P(c | e') =  \frac{P (c \  and \  e')}{P(e')}[/tex]

      [tex]P(c | e') =  \frac{P (c)}{P(e')}[/tex]

     [tex]P(c | e') =  \frac{P (c)}{1- P(e)}[/tex]

=>   [tex]P(c | e') =  \frac{ 0.15}{1- 0.10}[/tex]

=>   [tex]P(c | e') =  0.17[/tex]

Generally the new probability of companies D  being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem

[tex]P(d | e') =  \frac{P (d \  and \  e')}{P(e')}[/tex]

      [tex]P(d | e') =  \frac{P (d)}{P(e')}[/tex]

     [tex]P(d | e') =  \frac{P (d)}{1- P(e)}[/tex]

=>   [tex]P(d | e') =  \frac{ 0.30}{1- 0.10}[/tex]

=>   [tex]P(c | e') =  0.33[/tex]

Generally the probability that  B, D , E  are not chosen this year is mathematically represented as

      [tex]P(N) =  1 - [P(e) +P(b) + P(d) ][/tex]

=>       [tex]P(N) =  1 - [0.10 +0.25  +0.30 ][/tex]

=>       [tex]P(N) =  0.35[/tex]

Generally the probability that A is chosen given that E , D , B  are rejected this year is mathematically represented  as

      [tex]P(a | e' , d' , b') =  \frac{P(a)}{P(N)}[/tex]

=>     [tex]P(a | e' , d' , b') =  \frac{0.20 }{0.35 }[/tex]    

=>     [tex]P(a | e' , d' , b') = 0.57  [/tex]

If a polygon is a pentagon, then it has 5 sides hypothesis conclusion

Answers

Answer:

Hypothesis

 

Step-by-step explanation:

 a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.

hope this helps

If sqrt 16 = x, then x2 =

Answers

Answer:

The square root of 16=4, 4x2=8, x2=8.

Step-by-step explanation:

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