An ice cream shop sells two type of cones: cake cones for $1.75 and waffle cones for $3.25. on tuesday, they sold 50 more waffles cones than cake cones. The total money they collected on cone sales on tuesday was $1422.50. How many cake cone did they sell on tuesday?( this is a matrix word problem)

Answers

Answer 1

Answer:

sorry no idea

Step-by-step explanation:

Answer 2

Answer:

252 Cake Cones

Step-by-step explanation:

You have to make your own formula with the numbers in the problem. Here's how I set it up:

w= number of waffle cones

c=number of cake cones

We know that the number of waffle cones is the number of cake cones plus 50, so we write that out here: w=c+50

And we know that the sales total was $1422.50. That is, the number of waffle cones times the cost per cone plus the number of cake cone times their cost per cone, and we can write that out here: (3.25× w) + (1.75×c) =1,422.50.

Now, we can substitute our first formula into the second formula to solve for  C. The new equation reads: 3.25(c+50) + 1.75c=1,422.50

Distribute 3.25 to c and 50: 3.25c +162.50+1.75c=1,422.50

Combine like terms: 5c +162.50=1422.50

Subtract 162.50 from both sides: 5c=1260

Divide both sides by 5: C=252

TO CHECK YOUR WORK

Now that you have solved for C, plug that figure back into the first equation to solve for w: (252)+50=w, W=302

Now plug both numbers into your equation for the total cost:

3.25(302) + 1.75(252)=1,422.50

981.5+441= 1,422.50

You're done!


Related Questions

Marvin solved the equation 4(x+5)=88 fill in the blanks

Answers

Answer:

x=17

Step-by-step explanation:

4(x+5) = 88

4x + 20 = 88

4x = 88-20

4x = 68

x = 68/4

x = 17

Answer:

17

Step-by-step explanation:

4(x+5)=88

4x+20=88

4x=88-20

4x=68

4x÷4=68÷4

x=17

1. The classroom's thermostat was set at 21°C. What is the temperature in Fahrenheit degrees? Round your answer to the nearest whole number

Answers

Answer: 69.8°F

Step-by-step explanation:

What is the CONSTANT in the expression 3k + 12?

Answers

Answer: 12

Step-by-step explanation:

The constant of the expression is 12.

What is a constant?

'A constant is a value or number that never changes in expression that is it's constantly the same.'

According to the given problem,

In the expression 3k + 12 , k is a variable. A variable is a quantity that may change with respect to the mathematical criteria.

If k = 1, the value of the expression is (3 × 1) + 12 = 15

  k =2, the value is (3 × 2) + 12 = 18

But we can see that no matter the value of k is, the expression has to be added with 12.

Hence, we can conclude that since the value of 12 does not change irrespective of the changing values k, the constant of this expression is 12.

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find the value of M in the following equation 7=m*12​

Answers

Step-by-step explanation:

7=m*12

divide the equation by 12

7/12=12m/12

7/12=m

if you meant to type 7=m^12

then the answer for m is 7^(1/12)

which is 1.1760

Hope that helps :)

A psychologist is interested in the social interactions of preschool children. She measures the number of verbal interactions that each child at a preschool engages in during a day. Here is the frequency distribution of the data. The cumulative frequency for the interval 46-55 is _________

Answers

Answer:

[tex]CF = 13[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the cumulative frequency for interval 46 - 55

To do this, we add up the frequency from the lowest interval up to interval 46 - 55.

From the attached table, the lowest interval is 6-15.

So, the cumulative frequency (CF) is:

[tex]CF = 1+2+3+3+4[/tex]

[tex]CF = 13[/tex]

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.4 mm. For a randomly found shard, find the following probabilities.
a) the thickness is less than 3.0 mm.
b) the thickness is more than 7.0 mm.
c) the thickness is between 3.0 mm and 7.0 mm.

Answers

Answer:

a) 0.0985 = 9.85% probability that the thickness is less than 3.0 mm.

b) 0.0582 = 5.82% probability that the thickness is more than 7.0 mm.

c) 0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.4 mm.

This means that [tex]\mu = 4.8, \sigma = 1.4[/tex]

a) the thickness is less than 3.0 mm.

This is the pvalue of Z when X = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 4.8}{1.4}[/tex]

[tex]Z = -1.29[/tex]

[tex]Z = -1.29[/tex] has a pvalue of 0.0985

0.0985 = 9.85% probability that the thickness is less than 3.0 mm.

b) the thickness is more than 7.0 mm.

This is 1 subtracted by the pvalue of Z when X = 7. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7 - 4.8}{1.4}[/tex]

[tex]Z = 1.57[/tex]

[tex]Z = 1.57[/tex] has a pvalue of 0.9418

1 - 0.9418 = 0.0582

0.0582 = 5.82% probability that the thickness is more than 7.0 mm.

c) the thickness is between 3.0 mm and 7.0 mm.

This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3. From questions a and b, we have these pvalues. So

0.9418 - 0.0985 = 0.8433

0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.

Every 75 feet, they will drink 8 ounces of water. Use your estimate to determine how many times they will stop to drink 8 ounces of water. How many ounces of water will Sarah drink biking up the mountain?​

Answers

Answer:

600 oz

Step-by-step explanation:

What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters

Answers

Answer:

B. 40 meters

Step-by-step explanation:

there are 100 cm in a meter

we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.

4,000/100 = 40

Therefore, the answer is B. 40 meters

hope this helps :)

A local river running company wanted to see if rafting or kayaking led to better satisfaction on a river trip. They tested a group of people who participated in both activities. These tourists kayaked one day and rafted the next day. At the end of each day, they rated how much they liked the activity using a 10 point scale (1-strongly dislike to 10-strongly like).

Which hypothesis test should be used?
a. Two Sample Independent t-test
b. Two Sample Dependent t-test
c. One Sample t-test
d. None of these
e. Test of Correlation

Answers

Answer:

b. Two Sample Dependent t-test

Step-by-step explanation:

In this scenario, the best hypothesis test would be a Two Sample Dependent T-test. This is because the test would need to be seperated into two sample groups, one for the individuals that went rafting and one with the individuals that wen Kayaking. Then the data from both of these would be analyzed and compared. A dependent test would be used since the results depend on the activity in question.

I will mark you brainalist

Answers

Answer:

4.6

Step-by-step explanation:

the first equation will be y=1.2x+4.6

the second will be y=0.8x+54.6

then i plugged the system of equations and that was where they met at :)

Answer:

for sure B

Step-by-step explanation:

work out 5×6 - 8 ÷2​

Answers

Answer:   26

Step-by-step explanation:

5×6 - 8 ÷2​

= 30 - 8 ÷2​

= 30 - 4

= 26​

Answer:

26

Step-by-step explanation:

so we start off with 5x6 from PEMDAS so 5x6 = 30

then we have 8 divided by 2 = 4

30-4 = 26

choose all answers that apply​

Answers

Answer:

none of the above

Step-by-step explanation:

An isosceles trapezoid cannot be rotated to create the same image therefore it has no angle of rotational symmetry.

3. Marci's gross pay this month is $1,175. What is the total amount her employer will
deduct from her income this month for Medicare tax (1.45% of gross pay) and Social
Security tax (6.2% of gross pay)?
pls help me

Answers

Answer:

it would be 266.83

Step-by-step explanation:

A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 3cm wide, and 10cm tall. If the company used 3900 cm3 of wax, how many candles did they make?

Answers

Answer:

26 candles

Step-by-step explanation:

If the radius of the cone is 5 inches and the height of the cone is 18 inches, what is the slant height of the cone ?

Answers

Answer:

Step-by-step explanation:

slant height = √(5²+18²) = √349

A local television news station includes a viewer survey question about a current issue at the beginning of every evening news broadcast. Viewers are invited to use social media to respond to the question. The results of the survey are shared with the audience at the end of each broadcast. In relation to the opinions of the population of the region, which of the following is a possible reason why the results of such surveys could be biased?

I. Viewers with strong opinions about the current issue are more likely to respond than are viewers without strong opinions.
II. The opinions of viewers of one television station are not necessarily representative of the population of a region.
III. Viewers with access to social media are not necessarily representative of the population of a region.

a. I only
b. II only
c. III only
d. II and III only
e. I, II, and III

Answers

Answer:

ll

Step-by-step explanation:

ll is the msot resanable

help meh I'm doing more stuff for I can get another apple phone and another anonymous mask-​

Answers

Answer:

4lb.

Step-by-step explanation:

11 divided by 2.75 = 4

therefore, the answer is 4lb's.

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

hope it helps

Step-by-step explanation:

have a great day

A car travel 8km using 1 litres of petrol. How much petrol is needed to travel 152km​

Answers

Answer:

It is very interesting!

Step-by-step explanation:

So I am going to take all of this values and represent it as a proportion, So here's how it is going to look,

Km : Litre : : Km : Litre

Let's keep the missing value as x

= 8 : 1 : : 152 : x

We know that,

Product of ext. terms = Product of middle terms

8 * x = 1 * 152

8x = 152

x = 152/8

x = 19

So therfore it will take 19 lites to travel 152 km.

(So to put everything in a nutshell we have to divide 8 by 152 to get the answer)

Hope this helps :)

Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?

A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band

Answers

Answer:

D.

Step-by-step explanation:

There is no explanation

The answer is D. There is or should not be not explaining on this question

Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.

Answers

Answer:

the answer is 6 :))))))))0

Step-by-step explanation:

Explain why a variable's coefficient is 1 unless you see another number in front of it.

Answers

when you add variables you have to have something to add so instead of it being x^2 it would be x+x=2x

For adding variables we use the coefficient as 1 if there is no number infront of variable.

What is Expression?

An expression is combination of variables, numbers and operators.

A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.

Let us consider a algebraic expression

ax+by+z=0

In the given expression a, b are coefficients of x and y respectively.

We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.

Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.

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If 45/60 is equivalent to 3/x, find the value of x

Answers

x = 4
EXPLANATION:

45/60 can be simplified by dividing both 45 and 60 by the same number.

We already know the numerator is 3.

so we have to do the equation 45 divided by 3. which is 15.

so now we do 60 divided by 15 to find x.

So x = 4





What does 64.5% as a decimal equal?

Answers

Answer:

0.645

Step-by-step explanation:

since a percent is out of 100, it could also be written a 64.5/100,

then converting a fraction into a decimal is jus dividing the two equaling to 0.645

Someone please explain how you got the answer please and thank you

Answers

Answer:

3 texts by madelyn, there were 2 texts from aubrey

Step-by-step explanation:

the ratio of maddie to aubrey was 18:12 which is 3:2

so 3 by maddie = 2 by aubrey

i used maddie because its shorter

Answer:

6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)

Step-by-step explanation:

adore your sasha pfp

Adam used 6 cups of milk to fill containers that each hold 1/3 how many containers can he fill

Answers

Answer:

2

Step-by-step explanation:

Change the numbers into an improper fraction. 6/3, then simplify it.

6/3 = 2

Answer:

1/3=6. Cross multiply1×c=6×3cups filled= 18

find the area of the compound shape. use 3.14 for pi.

1. 26.1cm square 2
2. 125.1cm square 2
3. 68.5cm square 2
4. 28.3cm square 2

Answers

Answer:

1. 26.1 cm²

Step-by-step explanation:

For area of semi circle

diameter = 6cm

radius = 6/2 = 3cm

Area of semi circle = 1/2 x pi x r²

= 1/2 x 3.14 x 3²

= 1.57 x 9

= 14.13 cm²

For area of rectangle,

length = 6cm

breadth = 2cm

Area = length x breadth

= 6 x 2

= 12cm²

Area of compound shape = 14.13 + 12

= 26.13 cm²

What is the result of the operation

Answers

Multiplication is the process of multiplying. The correct option is D.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The result of the given operation can be written as,

[tex]-2\left[\begin{array}{ccc}-3&5&1\\8&-2&3\\2&1&-4\end{array}\right][/tex]

Since for a multiplication operation, each element of the matrix is multiplied with the given term, therefore, the matrix can be written as,

[tex]= \left[\begin{array}{ccc}-3\times -2&5\times -2&1\times -2\\8\times -2&-2\times -2&3\times -2\\2\times -2&1\times -2&-4\times -2\end{array}\right][/tex]

Solving the multiplication, we will get,

[tex]=\left[\begin{array}{ccc}6&-10&-2\\-16&4&-6\\-4&-2&8\end{array}\right][/tex]

Hence, the correct option is D.

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Brandon gets paid $7.55 per hour. How much does he make if he worked 35 hours?

A. $302.00
B. $2,642.50
C. $264.25
D.$30,200.00

Answers

Answer:

C

Step-by-step explanation:

7.55 x 35 =

264.25

Hope this helped

c. 264.25
this is the answer!!

PLZ HURRY, TIMED, WILL MARK BRAINLIEST********

K [Not drawn to scale] Which is true about the diagram? Select two options. MZIKH+MZIKL= 180° MZIKLU MZILK+mZKIL = 180° DmZJKH= MZJLK O MZIKLU MZILK= 90° OmZKIL= MZKLJ​

Answers

Can you show us the diagram?
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