Whats the expression

If my children made 18 cookies then my children made 18 more how many cookies are altogether

igor_vitrenko [27]

18+18=36 so there are 36 cookies altogether

6 0

3 years ago

Emily's piggy bank contains twice as many dimes as nickels. It contains two more quarters than nickels. Emily calculates that if

ANTONII [103]

Answer:

Emily has 10 nickels, 20 dimes and 12 quarters in her piggy bank

Step-by-step explanation:

The number of dimes in Emily's piggy bank = 2 × The number of nickels

The number of quarters in it = 2 + The number of nickels

Whereby;

The number of quarters = The number nickels

The number of dimes = The number of quarters

The number of nickels = The number of dimes

The total amount = Current amount - $150

Let 'x' represent the number of dimes, let 'y' represent the number nickels, and let 'z' represent the number quarters in Emily's piggy bank, we have;

x = 2 × y

z = 2 + y

The total amount in the piggy bank is therefore;

Total = C = x×0.1 + y×0.05 + z×0.25 = 2·y×0.1 + y × 0.05 + (2 + y) × 0.25 = 0.5·y + 0.5

C = 0.5·y + 0.5

With the second condition, we have;

z = y

x = z

y = x

We get

x × 0.1 + y × 0.05 + z × 0.25 = y ×0.1 + y×0.05 + y×0.25 = 0.4·y = C - 1.5

∴ C = 0.4·y + 1.5

Which gives;

0.5·y + 0.5 = 0.4·y + 1.5

0.1·y = 1.5 - 0.5 = 1

y = 1/0.1 = 10

y = 10

Therefore;

x = 2×y = 2 × 10 = 20

z = 2 + y = 2 + 10 = 12

Therefore;

The number number of nickels in her piggy bank, y = 10

The number of dimes in her piggy bank, x = 20

The number of quarters in her piggy bank, z = 12

3 0

3 years ago

Read 2 more answers

A master student is planning to take a qualifying exam in the coming summer. She has three chances. The first one is in June. If

Soloha48 [4]

Answer:

Step-by-step explanation:

Given

$P_1=$ Probability of clearing exam in 1 st attempt=0.5

$P_2=$ Probability of clearing exam in 2 nd attempt=0.7

$P_3=$ Probability of clearing exam in 3 rd attempt=0.8

Probability that she passes the exam $=P(1 st\ attempt)+P(1\ fail)\cdot P(2\ pass)+P(1\ fail)\cdot P(2\ fail)\cdot P(3 rd pass)$

$P=0.5+0.5\times 0.7+0.5\times 0.3\times 0.8=0.97$

(b)P(Pass qualification on 2nd try|passes qualification)

P(Pass qualification on 2nd try|passes qualification) $=\frac{P(fail\ on\ 1 )\cdot P(pass\ in\ 2nd)}{P(passes)}$

P(Pass qualification on 2nd try|passes qualification) $=\frac{0.5\times 0.7}{0.97}=0.3608$

5 0

3 years ago

If d is the midpoint of ce, ce=10x+18 and de=7x-1, find x

sashaice [31]

Given that D is the mid point of CE ,

So D will bisect CE, it means the length of DE and CD is equal.

=> DE + CD = CE

As DE and CD are equal,

=> DE + DE = CE

=> 2 DE = CE

Putting values from the question,

=> 2( 7x - 1 ) = 10x + 18

=> 14x - 2 = 10x + 18

=> 14x - 10x = 18 + 2

=> 4x = 20

=> x = 20 / 4

=> x = 10 / 2

=> x = 5

$.$

Therefore, the value of x is 5

7 0

3 years ago

Read 2 more answers

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

Explanation:-

Step(i):-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11