Madelyn and her friend Beth are each baking apple pies and tarts for a bake sale, using the same recipes. Madelyn baked 1 apple pie and 3 apple tarts, using a total of 19 apples. Beth made 10 apple pies and 10 apple tarts, which used 110 apples. How many apples does each dessert require?

An apple pie uses ____ apples and an apple tart requires____apples.

Answers

Answer 1

Answer:

An apple pie uses 7 apples and an apple tart requires 4 apples

Step-by-step explanation:

Apple pie - p, apple tart - t

Set the system as follows:

p + 3t = 1910p + 10t  = 110

Solve by substitution, p = 19 - 3t:

10(19 - 3t) + 10t = 110190 - 30t + 10t = 11020t = 190 - 11020t = 80t = 4

Find the value of p:

p = 19 - 3*4 = 19 - 12 = 7

Answer 2
Apple pie be xApple tart be y

The equations are

x+3y=19--(1)10x+10y=110=>x+y=11---(2)

Subtracting both equations

[tex]\\ \sf\longmapsto 2y=8[/tex]

[tex]\\ \sf\longmapsto y=4[/tex]

Put in equation (2)

[tex]\\ \sf\longmapsto x+4=11[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]


Related Questions

Katrice wrote the numbers 137 and 174. Which sentence is true about the digit 7 in each number?

The 7 in 137 represents ten times the 7 in 174.

The 7 in 174 represents ten times the 7 in 137.

The 7 in 137 represents one hundred times the 7 in 174.

The 7 in 174 represents one hundred times the 7 in 137.

Answers

Answer:

The 7 in 137 represents ten times the 7 in 137 (the second option)

Step-by-step explanation:

The seven in 137 equals 7

The seven in 174 equals 70

7 times 10 = 70

I hope this helped!

There were m balloons at the beginning of a party. By the end of the party, 4 of them had popped. Using m, write an expression for the number of balloons that were left. Please help! <3

Answers

Answer:

m - 4

Step-by-step explanation:

So, m amount of balloons at the beginning.

When 4 pop, that means there are 4 less than the beginning.

m - 4

Ilana ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute?
O 10 of a lap per minute
1
O of a lap per minute
O 4 laps per minute
10 laps per minute
How many laps?

Answers

Answer: She ran 0.25 laps a minute

Step-by-step explanation:

Every minute she runs 0.25 a minute which means that every 4 minutes she runs 1 lap which means if she run for 8 minutes she gets 2 laps

Answer:

?

Step-by-step explanation:

what does the O mean

2.1/x+1 4/5=3/10x
what is the Answer?........................................................

Answers

Answer:

x=10.03115897…,−0.69782564…x=10.03115897…,-0.69782564…

Step-by-step explanation:

Please help meee please explain it

Answers

Answer:

C. .45

Step-by-step explanation:

Think of it like this: that is 45 hundredths and you are trying to find what 45% is and it is like 45/100 so .45 is your answer.

answer c=0.45

0.45 is equal to 45%.

Please help me on this

Answers

Answer:

1st dot: 195,3

2nd dot : 390,6

Why do you skip count by 2s on the number line

Answers

find your answer faster

Answer: It all depends on what type of number line you're doing.

Step-by-step explanation:

Cuanto es ( 4/2 - 1/2 ) + 3/4 simplificado I need the answer my English is no good I’m sorry both I need

Answers

9/4 or 2 1/4

Step-by-step explanation:

uh so im kind of in a hurry rn and need these 3 done, my brain isnt functioning and ive forgotten how to do this, an explanation would be fine but its not needed, 70 points to the person that can solve these!

Answers

Answer:

1: 25 3: 15.5

Step-by-step explanation:

1: divided 16 into 80, then multiplied 5 by 5.

3: found the simplified version of 120:20, it was 6:1, then I divided 6 into 93.

What is the mZQPT?

P Q R S T

Answers

Answer:

angle qpt equals 125

Step-by-step explanation:

QPT=60,RPS=45, and SPT=90-60=30

so its sum will be 125

10 open cylindrical containers are to be painted on the outside, including the base. Each container has a radius of 30 cm and a height of 28 cm.
Given that 150g of paint is needed to paint an area of 1m3, find the amount of paint required to paint the ten cylinders. Give your answer in kg.
please help quick.

Answers

The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.

The formula to determine the total surface area of an open cylinder is given as:

2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =

where: r is the radius, and h is the height of the cylinder.

The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:

Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)

                               = 0.8297

The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].

Total surface area of the ten cylinders = 10 x 0.83

                                                   = 8.3 [tex]m^{2}[/tex]

Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:

x = 8.3 x 150 g

  = 1245 g

x = [tex]\frac{1245}{1000}[/tex]

  = 1.245 Kg

Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.

Visit: https://brainly.com/question/16425247

A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does PA or B) = 0.55 mean in terms of this problem?
A. The probability that a customer buys both a taco and a drink is
55%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
55%.
O D. The probability that a customer buys a taco, a drink, or both is
55%.

Answers

Answer:

D. The probability that a customer buys a taco, a drink, or both is

55%.

there is a triangle angle 1 is 9x - 8, angle to x + 10, and angle 3x + 2

Answers

Answer:

See answer below

Step-by-step explanation:

Finding the measure of each angle.

The sum of the angles in a triangle = 180°

(9x - 8) + (x + 10) + (3x + 2) =  180°

13x + 4 = 180

13x = 180 - 4

13x = 176

x = 176/13

Angle 1 = 9x - 8                     Angle 2 = x + 10                  Angle 3 = 3x +2

             = 9(176/13) - 8                        = 176/13 + 10                        = 3(176/13) + 2

             ≈ 113.8°                                   ≈   23.5°                               ≈ 42.6°

Can someone please help will mark brainliest.

Answers

Answer:

3 square miles

Step-by-step explanation:

List negative numbers that are between -103 and -130​

Answers

Answer:

-104, -105, -106, -107, .... -123, -124, -125, -127, -129

Answer:

-104,-105,-106,-107,-108,-109,-110,-111,-112,-113,-114,-115,-116,-117,-118,-119,-120,-121,-122,-123,-124,-125,-126 ,-127,-128 -129

Help help help help

Answers

Answer: main

Step-by-step explanation:

Answer:

yeah it's main it cuts up through oak and elm

Mrs. Patel needs
7/8
yards of fabric to make one shirt. Mrs. Patel bought 10 1/2 image yards of fabric. How many shirts can she make?

Answers

Answer:

12 shirts

Step-by-step explanation:

I used the method keep, change, flip (KCF) to divide fractions and solve this problem.

This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.

so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.

that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts

solve pls brainliest

Answers

Answer:

mixed no. 51/10

Improper fraction 5/1/10

Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.

Answers

Answer:

Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)

Step-by-step explanation:

Which represents the solution set of the inequality 5x-9<_21?

O<_12/5
O>_12/5
O x>_6
O x<_6

Answers

Answer:

[tex]x\leq 6[/tex]

Step-by-step explanation:

[tex]5x-9\leq 21\\\\5x-9+9\leq 21+9\\\\5x\leq 30\\\\\frac{5x}{5}\leq \frac{30}{5}\\\\x\leq 6[/tex]

Ned rides his bike 6 miles to the store and 6 miles back. The graph shows the relationship between the distance Ned is from home at any time throughout his trip and the distance he spends riding the bike. Which statement is true about Ned's ride?
A. Ned's speed is constant for the entire ride from 0 to 90 minutes
B. Ned's speed is constant on the interval from 0 to 60 minutes.
C. Ned's speed between the interval from 20 to 40 minutes is the same as his speed over the interval 50 to 90 minutes.
D. Ned's speed over the interval from 20 to 40 minutes is faster than his speed over the interval from 0 to 20 minutes.

Answers

Answer:

The answer is D

Step-by-step explanation:

A cant be right because the graph isn't a straight line.

B cant be right because from 0 to 60 the graph the line goes at a(n) upward slope not a straight line.

Although the first part of question c is right, the second part is wrong. From 50-90 the ling goes at a downward slope via decreasing, which isn't equal like it said so question C is wrong.

So the correct answer is D

Solve for Y please help me

Answers

Answer:

y = j - rx/c

Step-by-step explanation:

Please help! Will mark brainliest.
Convert into an exponential expression.

Answers

Answer:

Step-by-step explanation:

5√7²=5√49=9.8

solve pls brainliest

Answers

Answer:

1)YES:This is a decimal neither terminates nor repeats

2)YES:Repeating decimal

3)NO: Terminating decimal

4)YES: this is a decimal neither terminates nor repeats.

Step-by-step explanation:

Hope it can help you lovelots

Simplify this thing (4h^2/3)^3

Answers

Answer:

64h^2.

Step-by-step explanation:

4 ^3 = 64

h(2/3)^3 = h ^(3*2/3) = h^2.

4h*2/3 x 4h*2/3 meaning total answer is 8h*6/9

how many years in two scores?brainliest best answer.

Answers

Answer:

40 years

Step-by-step explanation:

I think 1 score is 20 years

so 2 scores = 2 x 20 = 40 years

I may be wrong so someone check

-Chetan K

PLEASE ANSWER NOWWWWW
340816.326531

Answers

Answer:

nearest whole number would be 340816

Answer:

340,816

Hope this helps :)

Construct a new equation by adding 5x + 5y = 35 to 3.x - 2y = 1

Answers

5x + 5y + 3x - 2y = 36
8x + 3y = 36


Can anyone help me with this?

Answers

Answer:

A & C are correct.

Step-by-step explanation:

Yes, I can help!

Absolute value makes any number positive.

12 < 50 (yes)

12 < 50 (yes)

12 > 50 (no)

12 > 50 (no)

You are welcome!

Kayden Kohl

8th Grade Student

sin6x-cos6x=[tex]\sqrt{2}[/tex]

Answers

Condense the right side a single sine expression:

sin(6x) - cos(6x) = R sin(6x - t)

Expanding the right side gives

sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)

Then we have

R cos(t) = 1

R sin(t) = 1

Solve for R and t:

(R cos(t))² + (R sin(t))² = 1² + 1²

R² = 2

R = √2

and

(R sin(t))/(R cos(t)) = 1/1

tan(t) = 1

t = arctan(1) = π/4

So we rewrite the equation as

√2 sin(6x - π/4) = √2

Solve for x :

sin(6x - π/4) = 1

6x - π/4 = arcsin(1) + 2nπ

(where n is any integer)

6x - π/4 = π/2 + 2nπ

6x = 3π/4 + 2nπ

x = π/8 + nπ/3

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