The piggy bank contains 16 dimes, 8 nickels, and 12 quarters. This morning you removed 3 dimes and 5 nickels.Which expression correctly shows the amount remaining in the piggy bank?

Answers

Answer 1
Answer: 16•0.10= 1.60$
8•0.05= 0.40¢
12•0.25= 3.00$

1.60$+0.40¢+3.00$= 5.00$

3•0.10= 0.30¢
5•0.05= 0.25¢

0.30¢+0.25¢= 0.55¢

5.00$-0.55¢= 4.45$

4.45$ is left in the piggy bank.

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Izzy is making cookies. The recipe for 1/4 cup of butter and 3/8 cup of sugar. How much sugar would Izzy use if she used 1 cup of butter? Write your answer as a mixed number

Answers

To solve this equation, we have to set up a proportion, because we want to keep the ratio of butter to sugar equal between the two recipes.  Let x represent the amount of sugar that we are trying to find.

1/4 cup butter/3/8 cup sugar = 1 cup butter/ x cup sugar

To solve this proportion, we need to use cross products, or the multiplication of the numerator of one fraction by the denominator of the other, and setting them equal to one another.  If done properly, the resulting equation is:

1/4x= 3/8

Finally, we just need to divide both sides by 1/4, which is the coefficient of x, as we are trying to get x alone.  Your final answer is 

x=1.5.

Therefore, this means that if Izzy uses 1 cup of butter, she would use 1 1/2 cups of sugar.

A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

Answers

Answer:

67% or 0.67

Step-by-step explanation:

Given that:

P(1 child under age 21) = 55%

P(2 children under age 21) = 22%

P(3 children under age 21) = 15%

P(4 children under age 21) = 5%

P(5 or more children under age 21) = 3%

If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

P(1 or 3 children under age 21):

Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;

P(1 child under age 21) + P(3 children under age 21)

= 55% + 15%

= 67% = 0.67

What are the first three terms of the sequence a1 = 3 and an = 2(an-1)^2? I thought the answer was 3,18,32 but that's not an option! help????

Answers

Answer:

3,18,648

Step-by-step explanation:

We are asked to find out the first three terms of the sequence.

Recurring formula is given as

a_(n) =2(a_(n-1) ^2)

Since I term = 3

a_(2) =2(a_(1))^2=2(3^2)=18

Applying the same rule,

third term

=a_(3) =2(a_(2))^2\n=2(18^2)\n=648

Like this we can find out any number of terms using this recursive formula

a1=3
a2=2(3^2)=18
a3=2(18^2)=648

Which is another way to check the sum of 104+34+228+877?

Answers

The answer is digit sum method.

Digit sum method is method used to check the sum of sum numbers. If the sum of all of the digits of numbers is equal to the sum of all of the digits of the total sum, then the arithmetic process was correct.

We need to check the sum of 104+34+228+877:
104 + 34 + 228 + 877 = 1243

Let's first summarize the digits of individual numbers:
104 *** 1 + 0 + 4 = 5
34 *** 3 + 4 = 7
228 *** 2 + 2 + 8 = 12 *** 1 + 2 = 3
877 *** 8 + 7 + 7 = 22 *** 2 + 2 = 4

Now, let's sum these sums:
5 + 7 + 3 + 4 = 19 *** 1 + 9 = 10 *** 1 + 0 = 1

Then, let's summarize the digits of the total sum:
1243 *** 1 + 2 + 4 + 3 = 10 *** 1 + 0 = 1

Since the sums of the digits on the both sides of equation is 1, than the arithmetic process was correct and the sum of 104 + 34 + 228 + 877 is really 1243.

Find the values of x and y if

Answers

Answer:

see explanation

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, then

CA = NE , that is

4x + 3 = 11 ( subtract 3 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

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

AR = EW, that is

4y - 12 = 10 ( add 12 to both sides )

4y = 22 ( divide both sides by 4 )

y = 5.5

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

NW = x + y = 2 + 5.5 = 7.5

CR = NW = 7.5

Solve for x pleasssee help

Answers

Answer:

x=8

Step-by-step explanation:

13=x+5

8=x

Answer:

x = 8

Step-by-step explanation:

Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:

x + 5 = 13

So now we have to do the inverse operations thingy:

13 - 5 = 8

So x = 8

tell me if this is wrong so I can fix it

hope this helps:)