Pamela and her friend Nicole are each baking apple pies and tarts for a bake sale, using the same recipes. Pamela baked 5 apple pies and 7 apple tarts, using a total of 68 apples. Nicole made 5 apple pies and 9 apple tarts, which used 76 apples. How many apples does each dessert require?

Answers

Answer 1

Answer:

Each apple pie requires 8 apples, and each apple tart requires 4 apples.

Step-by-step explanation:

We see that both Pamela and Nicole bake the same amount of apple pies, but different amounts of apple tarts. Because of this, we can subtract the two to try to figure out the amount of apples for each apple tart. We subtract 68 from 76, giving us 8. Nicole baked 9 apple tarts, while Pamela baked 7, and 9-7=2. So we can bake two apple tarts with 8 apples, so one apple tart requires 4 apples (we divide by 2). Now that we know the amount of apples per each apple tart, we multiply 7 apple tarts that Pamela made by 4 apples, giving us 28. We subtract that from the total amount of apples Pamela used, which was 68, giving us 40. From this we can deduct that 5 apple pies need 40 apples, and we divide by 5, giving us 1 apple pie requires 8 apples.


Related Questions

expand and simplify the equation

Answers

Answer:

7x+12

Step-by-step explanation:

5(3x+2) - 2(4x-1)

Distribute

15x + 10 -8x+2

Combine like terms

7x +12

7x+12
.....
.....
....
....

Determine the exact value of sin 0

Answers

Answer:

36.87°

Step-by-step explanation:

[tex] \sin \theta = \frac{3}{5} \\ \\ \sin \theta = 0.6 \\ \\ \theta = {sin}^{ - 1} (0.6) \\ \\ \theta = 36.869897646 \degree \\ \\ \theta = 36.87 \degree[/tex]

find the circumference

Answers

Answer:

25.12

Step-by-step explanation:

C = 2*3.14*4

C = 8*3.14

C = 25.12

Answer:

C =25.12 cm

Step-by-step explanation:

The circumference is given by

C = 2* pi *r

C = 2 * 3.14 * 4

C =25.12 cm

Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban
en zonas urbanas. Calcule mediante procedimiento matemático la población total y la
población rural para la misma época.

Answers

Answer:

zonas urbanas =>  30  % de la poblacion => 700 millones

poblacion total =>  100 % de la poblacion =>   x      =>  2333.3 millones

poblacion rural => 70% de la poblacion => x - 700  => 1633.33 millones

[tex]x = \frac{700 \times100}{30} =2333.3[/tex]

[tex]x-700=2333.3-700=1633.33\\[/tex]

Solve for x in the diagram below.
120°
3x
0
2=

Answers

Answer:

x=40

Step-by-step explanation:

The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.

120=3x

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

120/3=3x/3

120/3=x

40=x

x is equal to 40.

Answer:

40

Step-by-step explanation:

i had this a while ago

Without actual division, prove that 2x^4 - 5x^3 + 2x^2 - x + 2 is divisible by x^2 + 3x + 2.

Answers

Answer:

Thinking Process

(i) Firstly, determine the factors of quadratic polynomial by splitting middle term.

(ii) The two different values of zeroes put in bioquadratic polynomial.

(iii) In both the case if remainder is zero, then bioquadratic polynomial is divisible by

quadratic polynomial.

Answer:

2x⁴ - 5x³ + 2x² - x + 2=

2x²(x²-3x+2) +x³-2x² -x +2=

2x²(x²-3x+2) + x(x²-3x+2) +x² -3x +2=

(x²-3x+2)(2x²+x+1)

since x²-3x+2 is the factor of the given polynomial, we can state the polynomial is divisible by x²-3x+2

-------------

note: x²+3x+2 is not the factor of the given polynomial

Please help me with my math question!!!!

Answers

Answer:

No.

Step-by-step explanation:

It is because a line is said to be perpendicular to another line if the two lines intersect at a right angle or at 90° and the two lines in the graph does not intersect at 90° angle..

mark brianliest if my answer suit your question..

A line passes through (−1, 7) and (2, 10) what is the equation of the line?

Answers

Answer:

−x+y=8

there you go!

Hope it helps!

Use the table to find the experimental probability of spinning a number less than 2. Write your answer as a fraction.

Spinning a Spinner
Number spun Times spun
1 7
2 10
3 8
4 8
5 8
6 9

Answers

Answer:

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

Step-by-step explanation:

Given data table

x                        7           10            8                8           8            9      = total 50

P(X=x)    [tex]\frac{7}{50} = 0.14[/tex]     [tex]\frac{10}{50} = 0.2[/tex]  [tex]\frac{8}{50} = 0.16[/tex]   [tex]\frac{8}{50} = 0.16[/tex]  [tex]\frac{8}{50} = 0.16[/tex]   [tex]\frac{9}{50} = 0.18[/tex]  

Sum of the probabilities is equal ∑x P(x=x)

                                 = 0.14 +0.2 +0.16 +0.16+0.16 +0.18

                                 =1

Given data table

spinning

a spinner             1            2            3                4           5             6                    

x                        7             10            8                8           8            9      

P(X=x)            0.14     0.2         0.16             0.16         0.16        0.18    

The experimental probability of spinning a number less than 2

P( x<2) = P( x=0) +P(x=1)

          = 0 + 0.14

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

       

The smallest angle of rotational symmetry for a regular polygon is 30°. How many sides does the regular polygon have?

Answers

The answer should be 12

Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!!

Answers

Answer:

So since the ball is at x=0 at the end.

We plug in it.

h(x) = 16 if you simplify it

6x^3-x^2 +17 = 2x^2 + 47

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable x

.

x≈1.89393154

Step-by-step explanation:

please mark brainly

Help me with this question please and thank you

Answers

Answer:

B, C, E

Step-by-step explanation:

The solution of the inequality is x ≤ -7

The graph would have a closed circle because it's less than or equal to

-7 is a part of the solution because it's less than or equal to -7

Answer:

Step-by-step explanation:

Subtract 22 from both sides to get [tex]x\leq -7[/tex]. So the 2nd one is correct

The sign is less than or equal to, so the graph does indeed have a closed circle. So the 3rd one is also correct

The answer is x is less than or EQUAL to -7, so -7 is included in the asnwer. So the 5th one is also correct

write 10 examples of cube that you see in your daily life

Answers

Answer:

Step-by-step explanation:

1. Ice Cubes

2. Dice

3. Sugar Cubes

5. Old Iron Lockers

6. Gift Box

7. Cube Building Blocks


A college's lacrosse team will play 22 games next spring. Each game can result in one of 2 outcomes: a win or a loss. Find the total
possible number of outcomes for the season record.

Answers

Answer: 44 possible outcomes

Step-by-step explanation:

Multiply the number of games by the number of outcomes to find how many possibilities.

22 games * 2 outcomes = 44 possibilities

Interpreting the situation, it is found that there are 23 possible outcomes for the season record.

For each game, there are two possible outcomes.

Hence, if the team plays 1 game, there are two possible outcomes, 0 wins or 1 win.If the team plays 2 games, there are three possible outcomes, 0 wins, 1 win or 2 wins.The same is valid for 3 games, the team can win 0, 1, 2 or 3 games.Hence, for n games, there are n+1 outcomes.

In this problem, there are 22 games, hence 23 possible outcomes.

A similar problem is given at https://brainly.com/question/18599661

Aubrey's parents are signing her up for summer camps. If there are 5 weeklong camps to choose from, in how many orders can they select 3 of the camps to sign her up for?

Answers

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways

Please I need a answer for 5,6,7, and 8 !!! Please ill mark you as brainliest

Answers

Answer:

5. 48

6. 33

7. -16

8. -7

Step-by-step explanation:

[tex]5. \\8(10-4)=\\80-32=\\48[/tex]

[tex]6.\\(-4+-7)(-3)=\\(-4-7)(-3)=\\(-11)(-3)=\\33[/tex]

[tex]7.\\(-7+3)4=\\-4*4=\\-16[/tex]

[tex]8.\\-1(18-11)=\\-1(7)=\\-7[/tex]

The length of a rectangle is 6 cm less than twice its width, and the area is 108cm2. Write an equation to solve for the dimensions.

Answers

Answer:

see below

Step-by-step explanation:

Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.

A ∩ B = ∅. P(B) = .9 P(A ∪ B) = .9. Find P(A).

Answers

Answer:

Given:  P(A ∩ B) = 0, P(B) = 0.9, P(A ∪ B) = 0.9.

We have: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=>  0.9 = P(A) + 0.9 - 0

=> P(A) = 0.9 - 0.9 = 0

 

Hope this helps!

:)

HELP ASAP
15 POINTS
If the plane intersects the cylinder vertically along an edge of the cylinder, the cross section is

A. Circle
B. Line
C. Rectangle
D. Oval

Answers

Answer:

Option C.

Step-by-step explanation:

Cross section: In three-dimensional space, the non-empty intersection of a solid body and a plane is known as cross section.

A cylinder has two circular plane surface called edges (top and bottom) and curved surface.

If the plane intersects the cylinder vertically along an edge of the cylinder, then the plane is perpendicular to both edges and we get two pairs of opposite sides which are equal.

It means, the cross section of plane and cylinder is a rectangle.

Therefore, the correct option is C.

Using Ratios to Solve Problems - Item 1457 Question 4 of 7 Evan's family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 300 miles in 6 6 hours. The second day, they drove 250 250 miles in 5 5 hours. The third day, they arrived at the park after driving for 3 3 hours. How many miles did they drive on the third day?

Answers

Answer:

150 miles

distance travelled on the third day = 150 miles

Step-by-step explanation:

Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;

For the first day

distance = 300 miles

time = 6 hours

Speed = distance/time

Speed = 300/6 = 50 mph

on the third day;

time = 3 hours

Speed = speed on first day = 50 mph

distance = speed × time

distance = 50 mph × 3 hours

distance = 150 miles

distance travelled on the third day = 150 miles

Solve y = 7x + 8 if the domain is {-4, -2, 0, 2}.

Answers

Answer:

y= -29 if domain is -4

y=-6 is domain is -2

y=8 if domain is 0

y=22 if domain is 2

Step-by-step explanation:

help!!! ill mark brainliest!

Answers

Answer:

90

Step-by-step explanation:

My brother got that same question and he did it with his class

One more question that is very similar to the last problem. I am confused on how to solve the powers in both the numerator and the denominator. Do you think you could help me?

Answers

[tex]answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

the third one 4/25 would be the answer

PLEASE HELP!!!!!! PLEASE

Answers

Answer:

C

Step-by-step explanation:

A<B<D do not make sense

which expression is equivalent to __​

Answers

Answer

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2} = \sqrt[6]{8}[/tex]

[tex]\sqrt[3]{2} = \sqrt[6]{4}[/tex]

What is the following product?

Answers

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

PLEASE HELP !!!!!! PLEASE

Answers

Answer: D. (I, II, and III)

Step-by-step explanation:

having a ticket doesn't necessarily mean you will win the lottery, but you must have a ticket to win

not all numbers divisible by 3 are divisible by 6, but all numbers divisible by 6 are also by 3 (since 3 goes into 6 twice)

if a quadrilateral is a square, it is also a rhombus

Answer:

It is D.

Step-by-step explanation:

If you win the lottery, then you will need a ticket. But, if you have a ticket, it doesn't mean that you'll win the lottery.

If a number is divisible by 3. it is not necessarily divisible by 6. For example, 9 ÷ 3 = 3, but 9 ÷ 6 will not equal a whole number.

All squares are rhombuses, but not all rhombuses are squares (they need to have all interior right angles).

Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answers

Complete Question:

Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answer:

Extra amount needed by Jenny to buy the tiles = £8

Step-by-step explanation:

Floor area = 30.0 m^2

Area covered by a pack of tiles = 2.0 m^2

Number of packs needed = 30/2

Number of packs needed = 15

Price of a pack of tiles = £9.60

Discount = 25%

Jenny will pay 75% of the marked price

Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60

Amount Jenny will pay for a pack of tiles = £7.20

Amount Jenny will pay for 15 packs of tiles = 7.20 x 15

Amount Jenny will pay for 15 packs of tiles = £108

The amount of money Jenny currently has = £100

Extra amount needed by Jenny to buy the tiles = £108 - £100

Extra amount needed by Jenny to buy the tiles = £8

(20 POINTS AND BRAINLIEST)


The Timothy Edwards Matinee Program has a one time fee of $25 to join the bowling club. It then costs $6 each time the club goes bowling.


a) Write an equation in slope-intercept form for the cost y of joining the club and going on x bowling trips.


b) Sarah wants to join and go bowling 10 times. How much will she pay?


c) Tyler wants to join the club and go bowling 7 times. How much will he have to pay?

Answers

Answer:

a) The equation is y = 6x + 25 since the 25 is the initial fee.

b) We plug in 10 for x. 6 * 10 + 25 = $85.

c) We plug in 7 for x and get 6 * 7 + 25  = $69.

Answer:

see below

Step-by-step explanation:

a) y = 6x + 25  (because the 25 is the initial fee)

b) x = 10, so:  

= 6 * 10 + 25

= $85

c) x = 7, so:

= 6 * 7 + 25  

= $69

Hope this helps!

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