Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?

Answers

Answer 1

Answer:

3 milkshakes 3 sundaes

Step-by-step explanation:

First write the equation.

y = total cost

x = cost of sundae

z = cost of milkshake

21=2x+5z

x+z=6 or x = 6-z

substitute in x = 6-z into the first equation

21 = 2(6-z) + 5z

21 = 12 - 2z + 5z

21 = 12 + 3z

subtract 12 from both sides

21 - 12 = 12 - 12 + 3z

9 = 3z

divide both sides by 3

3 = z

so she bought 3 milkshakes.

That means x+z = 6 and z=3 so

x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.

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Answer 2

Answer:

she bought 3 sundaes and 3 milkshakes

Step-by-step explanation:

let's call the amount of milkshakes M.

let's call the amount of sundaes S.

you know that in total, there are 6 children.

so, you can make the following equation:

M + S = 6

if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m

if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S

you also know that Mrs. Browning spent 21$ in total.

so, you can make the following equation:

5m + 2S = 21

this is a system of equations.

using the first equation, you know that M = 6 - S

you can substitute M for 6 - S in the second equation

5m + 2s = 21

5(6 - s) + 2s = 21

30 - 5s + 2s = 21

30 - 3s = 21

30 = 21 + 3s

30 - 21 = 3s

9 = 3s

3 = s

now that you know how many sundaes there are, you can substitute that into the first equation:

m + s = 6

m + 3 = 6

m = 6 - 3

m = 3

Related Questions

Why do people say that black ops 2 is the best? I will give brainlest

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Answer:

They say it because the wanna be different from others lol

Please give me brainliest

Step-by-step explanation:

Answer:

people say that black ops 2 is the best because of the replayabilty and its story line not so much zombies tho

Graph f(x) = 4[x] +5.

Answers

Answer:

See image for reference

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Help Me PLEASESESESESES!

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Answer:

5375 should be it

Step-by-step explanation:


Help it’s 6 grade math

Answers

Answer:

the mean is 55.6; if she redid the D and F papers the mean would increase because you would get a higher average than before. Higher scores mean that the number that you add are larger evidently ending up in a larger value

Step-by-step explanation:

if you want to find mean, all you do is add the numbers together and then divide by the total number of values that you added.

so this would be 74+12+61+86+45 and that is 278. Then there is a total of 5 so you divide 278 by 5 which gives you 55.6.

7. What is the smallest angle in the triangle below?

Answers

Angle A is the smallest angle! You can see it visually because the angle on the right goes up more than on A

Answer:

Angle a is the smallest

I need help plssssss.....

Answers

No the answer is C
y=3x+3

Ravi purchased 3 DVDs for $19.99 each. Find the total cost for the DVDs including 5% GST and 6% PST.

Answers

Answer:

$66.57

Step-by-step explanation:

Cost of one DVD = $19.99

Cost of 3 DVDs = $19.99*3 =$59.97

Rate of GST = 5%

Amount of GST

= 5%* $59.97

= 0.05*59.97

= $2.9985

Rate of PST = 6%

Amount of PST

= 6%* $59.97

= 0.06*59.97

= $3.5982

Total cost of DVDs

= $59.97 + $2.9985 + $3.5982

= $66.5667

= $66.57

Cornelius has 25 nickels, 39 dimes, 22 quarters, and 12 fifty-cent pieces. How
much money does he have?

Answers

Answer:

16.65$

Step-by-step explanation:

Answer:

16.65

Step-by-step explanation:

Josh is comparing the volume of a cylinder and steer. The cylinder has a high of 8 inches and radius of 6 inches. This sphere has a radius 6 6 inches. What is the van of the cylinder and spare in terms of pie

Answers

Answer:Has a diamanitor of 6). B.)9 pi square units ... What is the volume, to the nearest whole cubic inch, of a cylinder with a height ... Volume of Cylinders, Cones, and Spheres Assig…

Step-by-step explanation:

A store has 300 televisions on order, and 40% are high definition. How many televisions on order are high definition? You may find the bar model useful in completing this problem.

Answers

Answer:

120

Step-by-step explanation:

There are 120 high definition televisions are in Order.

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here,

Total television = 300

Percentage of High definition television = 40%

Number of total high definition television = 40/100 X 300

                                                                     = 40 X 3

                                                                     = 120

Thus, There are 120 high definition televisions are in Order.

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Can somebody please help with this?

Answers

(3, 62)


Since that second equation is equal to y, you can substitute the entire thing into the top equation, getting rid of the y and solving for x. It equals 3.

You can then plug 3 in for x on either equation, which should be 62.

A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 133 nonprofits, the mean one-time gift donation resulting from email outreach in the past year was $85. Assume that the sample standard deviation is $9. Identify the correct 95% confidence interval estimate for the population mean one-time gift donation.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that:

Confidence interval (C) = 95%, mean (μ) = 85, standard deviation (σ) = 9, sample size (n) = 133

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.025

The z score of α/2 (0.025) is the same as the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.

The margin of error (E) is given as:

[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{9}{\sqrt{133} } \\\\E=1.53[/tex]

The confidence interval = (μ ± E) = (85 ±  1.53) = (83.47, 86.53)

The confidence interval is between 83.47 and 86.53.

Josh wants to add a model of a tree house to his model railroad layout how big should the tree be if the actual tree is 315 inches and the scale is 1:90

Answers

Answer:

3.5 inches on the scaled model

Step-by-step explanation:

So using the ratio, 1:90 I thought of two ways to solve this

1) Proportion

2) Equation

Using the proportion method

1:90=x:315

Now cross multiply

315=90x

Now solve and you’ll get 3.5

Equation is just

315/90=X?

Just solve and you’ll also get 3.5

Find the distance between the points (2.8) and (54).​

Answers

Answer:

It's 51.2

Step-by-step explanation:

All u gotta do is subtract  54 - 2.8

Does this set of ordered pairs represent a function? (-1,5)(0,-3)(2,7)(4,0)(7,5)

Answers

Answer:

No

Step-by-step explanation:

You cant have 2 y values

Answer:

it is indeed a function

Step-by-step explanation:

sam was charged $1050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it back?

Answers

Answer:

$8,400=amount of loan

Step-by-step explanation:

Key:

P=Money borrowed

T=5 years (time passed)

R=0.025 (interest rate)

I=$1050 (interest charged)

Formula: I=P*R*T

Work:

1,050=P*0.025*5

1,050=P*0.125

1,050/0.125=8,400

Check

8,400*0.025*5=1,050

(thank you 7th grade math last year haha)

Which point is located in Quadrant I?
(shown in pic)


Don’t answer if you don’t know, but if get it right i’ll give brainiest! it’s due soon pls help.

Answers

The point in quadrant one is C

Answer:

c

the top right is quadrant l, the top left is quadrant ll, the bottom left is quadrant lll, and the bottom right is quadrant lV

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]

Consider the solution to the linear equation.


5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4.


Which describes the inverse operations used after the distributive property?

addition then division

subtraction then division

multiplication then subtraction

division then addition




the answer is b

Answers

Well it technically won’t be be because it isn’t b

Answer:

the answer is b i think

Step-by-step explanation:

12345

The value of a car is $15000 and depreciates at a rate of 8% per year. What is the decay factor?

Answers

Answer:

Answer:1,875

Step-by-step explanation:15,000 ÷ 8 = 1,875

Answer: I think it is 1200

Step-by-step explanation: because $15000 of 8% is equal to 1200 because it just is

If ABCD is a rectangle, find the measure of angle ABD.

Answers

Answer: 31 degrees

Step-by-step explanation: Angle ABD and BDC are alternate interior angles, meaning that they are congruent. Therefore, the measure of angle ABD is 31 degrees.

The measure of angle ABD is 31°

What are alternate interior angles?

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

Given;

Angle CDB= 31°

Now

Angle ABD= Angle CDB (alternate interior angles)

Angle ABD= 31°

Therefore, angle ABD will be 31°

Learn more about angles;

https://brainly.com/question/7116550

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Solve for
m
.


5
m
=

35


m =

Answers

Answer: 7

Step-by-step explanation: -35 / -5 = 7

Answer:

The answer is 7. I did the lesson and 7 was the correct answer

Step-by-step explanation:

The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution? Round your answer to the nearest hundredths.

Answers

Answer:2.99 on edge

Step-by-step explanation: i got the question wrong just for the answer hope this helps

Answer:

2.99 on edge

Step-by-step explanation:

HELP PLEASE ILL VENMO THE FIRST PERSON WHO ANSWERS

Answers

Answer:

y=2p+9   i really hope this helps and you dont have to venmo me anything but i had to hurry because i have a quiz and i have to go. bye. hope this helped

Step-by-step explanation:

a train is running at a speed of hundred kilometre per hour how much distance will it run in 12 minutes​

Answers

Step-by-step explanation:

In an hour, there are 60 minutes.

100km * (12/60) = 20km.

Hence the train runs 20km in 12 minutes.

find the measure of a line EC​

Answers

9514 1404 393

Answer:

  41

Step-by-step explanation:

The product of segment lengths from the point of intersection to the circle is the same for both chords.

  QC·QE = QD·QF

  2x(21) = (x+4)(30)

  14x = 10(x +4) . . . . . divide by 3

  4x = 40 . . . . . . . . . . subtract 10x

  x = 10 . . . . . . . . . . . .divide by 4

  2x +21 = EC = 2(10) +21 . . . . . find EC

  EC = 41

Find the value of c that makes the trinomial a perfect square trinomial.
m^2-14m+c

Answers

Answer:

49

Step-by-step explanation:

m^2-14m+c

Take the -14

Divide by 2

-14/2 = -7

Square it

(-7)^2 = 49

Add it to each side

m^2-14m+49

The value of c is 49

Can someone help me.

Answers

Answer:

Its green

Step-by-step explanation:

In here wehn they don't say or it means that the line is going to be attached

vary hard 12th grade work

Answers

What’s the question tho

Can you please help do not understand

Answers

The first blank on the left side should be 0 I think
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