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

Solve 7.25x + 10 = 2.25x + 25 for x.

Answers

Answer:

x=3

Step-by-step explanation:

A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec

Answers

Answer:

2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2):  f(h) = -16x^2 +64x + 80

Step-by-step explanation:

You can either graph the functuion or take the first derivative to find the maximum height.  The first derivative will give us the slope for a values of x.  The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.

First Derivative:

f(x) = -16x^2 +64x + 80

f'(x) = -32x + 64

Set this equal to zero and solve for x

0 = -32x + 64

x = 2 seconds.

Use 2 seconds in the original equation to find the height at 2 seconds.

f(2) = -16x^2 +64x + 80

f(2) = -16(2)^2 +64*(2) + 80

f(2) = 144 feet

Graph:

A graph is attached.  You can locate the maximum at (2,144)

In a sale, the price of a jacket is reduced.
The jacket has a normal price of £52
The jacket has a sale price of £41.60
Work out the percentage reduction in the price of the jacket.

Answers

Percentage reduction = 80%
J

In a Quiz points are rewarded for each correct answer while points are deducted for each incorrect answer. In the first round, Ethan answered all the questions correctly. In the second round, he answered 8 questions incorrectly. If 3 points are deducted for each incorrect answer, by how much does Ethan’s score change in the second round?

Answers

Answer:

24 points

Step-by-step explanation:

3x8 is 24

True or false: Least squares regression problems always have a unique solution, since they are modelled by the normal equation

Answers

Answer: (((trueeee))))

Since the least squares problem always has a unique solution. Therefore, the given statement is true.

The given statement is "Least squares regression problems always have a unique solution since they are modelled by the normal equation".

Do least squares always have a unique solution?

The least squares problem always has a solution. The solution is unique if and only if A has linearly independent columns. S equals Span(A) := {Ax : x ∈ Rn}, the column space of A, and x = b.

Therefore, the given statement is true.

To learn more about least squares regression visit:

https://brainly.com/question/2141008.

#SPJ2

PLEASE HELP

What is required in order to win a game of pickleball?

Group of answer choices


The winning team must serve.


The winning team must smash the ball.


The winning team must return service.

Answers

Answer:

I think A

Step-by-step explanation:

Unlike tennis or badminton, only the serving team can win a point.

Answer:

I believe its c but I barely know how to play that

Weighted Sums and Averages: Quarterback Ratings
Use the following equation to determine quarterback ratings.
25 + 10(%COMP) + 40(%TD) - 50(%INT) + 50(YD)
OR =
12
1. Using the equation above, find the quarterback rating for Dak Prescott, Dallas Cowboys
Quarterback for 2019.
.
.
% comp 65.1
% TD 5
% Int 1.8
YD 8.2

Answers

Answer:

22

Step-by-step explanation:

1. 4x^2 +3x+2 and 7x^2+7x+3​

Answers

Answer:

 -x2 + 9x - 15

 —————————————

       3      

Step-by-step explanation:

 -x2 + 9x - 15

 —————————————

       3      

You make a scale drawing of a garden plot using the scale 2 in. 517 ft. If the length of a row of vegetables on the drawing is 3 in., how long is the actual row?
a. 17 ft b. 25.5 ft c. 34 ft d. 42.5 ft

Answers

The answer would be B- 25.5

help me
[tex] \: [/tex]

if mCE =100° ,mCA =110° and CR is a diameter find

mAR
mER

ANSWER 6-10 PLSS
see the attachment plss
need properly answer
right answer get brainlist
nonsense answer will be reported
[tex] \: [/tex]

Answers

Step-by-step explanation:

#6mAR = mCR - mCA = 180° - 110° = 70°#7mER = mCR - mCE = 180° - 100° = 80°#8m∠CAR = 90° as CR is diameter#9m∠CRA = 1/2(mCA) = 1/2(110°) = 55°#10m∠ROE = m∠COR - m∠COE = 180° - 100° = 80°

Which of the following is not a subset of {1, 2, 3}?

{0}
{1, 2, 3}
Ø

Answers

Answer:

{0}

Step-by-step explanation:

{0} is not because 0 is not an element of set {1, 2, 3}

The null set is a subset of every set, so Ø is.

A set is a subset of itself.

what is ?? 6x93/5=to

Answers

Answer:

111.6

Step-by-step explanation:

6x93/5=111.6

which statement correctly compares the function shown on this graph with the function y = 3x - 6?

Answers

Answer:

Perpendicular

Step-by-step explanation:

The equation of the graph is y = 1/3x  + 4

The slope 1/3 and 3 are opposite reciprocals, which indicates that the two lines are perpendicular.

-Chetan K

identify the construction that the figure represents

Answers

Answer:

  (b)  congruent segments

Step-by-step explanation:

One copies the length of a segment to make congruent segments. This is done by setting the compass radius to the length of the segment to be copied, then marking the segment length on another line using a given point as a center.

_____

Additional comment

The appearance here is that the segments are not actually congruent, so apparently a mistake has been made in the construction. No angles are shown, and there aren't enough points or arcs shown to support a conclusion that some other construction is being attempted.

PLS ANSWER IM BEGGING PLS

Answers

Answer:

x = 3

Step-by-step explanation:

This is an isosceles triangle.  Two angles (D and F) are equal because the sides opposite them are equal (or vice versa).

Thus, side DE = side EF, or

12x - 8 = 4x + 16

Combining like terms:  8x = 24

Thus, x = 24/8 = 3

x = 3

Need help with this ASAP I’ll mark brainliest

Answers

Answer:

g = 30 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse g is equal to the sum of the squares on the other 2 sides , that is

g² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )

g = [tex]\sqrt{900}[/tex] = 30

Please help meeeee please please c

Answers

Answer:

the item would cost $9000

Write the equation of the graphed line that has a slope of 2 and passes through the point (2,-2)

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (2, - 2 ) into the partial equation

- 2 = 4 + c ⇒ c = - 2 - 4 = - 6

y = 2x - 6 ← equation of line

What is the slope-intercept form and slope and y-intercept of the problem: -4x+2y=10?

Answers

Answer:

slope intercept is y=mx+b where m is the slope and b is the y intercept

so the slope is 2 and the y intercept is 5 so the equation is y=2x+5

Step-by-step explanation:

13.065
-0.07
_________

Answers

Answer:

12.995

Step-by-step explanation:

Find x special right triangle

Answers

Answer:

This is a 45 45 90 triangle, so v=[tex]\sqrt{2}[/tex]. The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides * [tex]\sqrt{2}[/tex].

Therefore, u=2, because [tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex]=2. So, your answer is A, 2.

Step-by-step explanation:

We know, sum of all angles of a triangle is 180°.So, 180° - (90+45)° = 45°So, the angle which is not given is 45°.The opposite angles of the triangle are equal, so the opposite sides of the triangle are also equal.Therefore, v = √2.[tex] {u}^{2} = \sqrt{(2)} ^{2} + {( \sqrt{2)} }^{2} \: \: \: (by \: \: pythagoras \: \: theorem)\\ => {u}^{2} = 2 + 2 \\ = > {u}^{2} = 4 \\ = > u = 2[/tex]

Answer:

2

Hope you could understand.

If you have any query, feel free to ask.

PLEASE HELP


What is the slope of the line?

Answers

Step-by-step explanation:

you know what the slope of the line is ? it is the inclination of the line. how strongly is it going up or down, or is it maybe flat ?

in the formulas the slope is always the factor of x. the slope is excised as ratio of y coordinate change / x coordinate change when going from one point to another.

we see here 2 clear points in my opinion :

(0, -3) and (3, 0)

that is where the line crosses the y and the coordinate axis.

so, going from (0, -3) to (3, 0) :

x changes by +3 (from 0 to 3)

y changes by +3 (from -3 to 0).

so, the slope is

+3/+3 = 1

7x3+1=22 divied by 2

Answers

Answer:

22/2=11 <-.-.-.-.-.-

If a number y has z positive integers factors, then y and 2z integer factors. True or false?​

Answers

Answer: TRUE

ANSWER IS IN THE PICTURE MARK ME BRAINLIEST!!

Answer:

true

Step-by-step explanation:

both of them are probably integers.

(fyi this is a question found in grade 8 mathematics text book in ethiopia page 64)

if the diagonal of a square is 11.3 what is the perimeter

Answers

Answer:

Step-by-step explanation:

if the diagonal of a square is 11.3 what is the perimeter

from the diagonal we find the area, which can also be found by multiplying diagonal by diagonal divided by two, then we make the square root of the area and find the side, we multiply by four and we have the perimeter

(11.3 * 11.3) : 2 = 63.8 u² (Area)

√63.8 = 7.9 (side)

7.9 * 4 = 31.6u (perimeter)

solve pls brainliest

Answers

Answer:2 3/4 for mixed                11/4 for  improper

Step-by-step explanation:

11 times 11 in binary . Help i need it today!

Answers

Answer:

1111001

Step-by-step explanation:

1011

×1011

—————

1111001

Answer:

Step-by-step explanation:

         1 1

        1 1

         1 1

       1 1

     ----------

    1 0 0 1

What do you have?

8 4 2 units

1  0 0 1

1 + 8 = 9

3 * 3 = 9

3 divied \frac{3}{4}[/

Answers

Answer:

The answer is 4

Step-by-step explanation:

I did it and got it right

Please mark me as brainly

Please leave a 5 star review

Have a good day!

:)

Find the perimeter. Simplify your answer.

Answers

Answer:

20v-6

Step-by-step explanation:

To find the perimeter we have to add up all of our sides

9v-6+9v-6+2v+6

Combine light terms

20v-6

HELP PLEASE ILL GIVE U BRAINLIEST

Answers

Answer:

number 3

Step-by-step explanation:

angleNGL=~angleHGF

Answer:

NG≅GF

Step-by-step explanation:

Since the side has to be in between the two angles so it from a ASA

The angles ∠N is the same as ∠F and ∠NGL is the same as ∠HGF

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