Madelyn has a total of 15 dimes and quartets in her piggy bank. The total amount of money in her piggie bank is $2.85. Write and solve a system of equations to determine the number of dimes and the number of quarters in madelyn’s piggie bank.

Answer:

104

Step-by-step explanation:

Answer: 30 OR C

Step-by-step explanation:

Answer:

10. 9

In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.

Therefore,

15^2 = 12^2+x^2

225=144+x^2

81=x^2

x=9

__________________________________________________________

11. x=12

In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:

11+a+b=21

a+b=10

5+5=10

b=5

a=5

The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:

c^2 = a^2+b^2

13^2=5^2+x^2

169=25+x^2

144=x^2

144= 12 x 12

x=12

__________________________________________________________

12.

The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.

c^2 = a^2+b^2

2^2 = (square root of 3)^2+b^2

4=3+b^2

1=b^2

b=1

Step-by-step explanation:

Answer:

The equation to determine the normal price of each cookie is

7(x - 0.75) = 2.80

The normal price of each cookie = $1.15

Step-by-step explanation:

Let us represent the normal price of a cookie as : x

We are told that:

Today each cookie costs \$0.75less than the normal price.

The price of a cookie today is

x - 0.75

Right now if you buy 7 of them it will only cost you \$2.80$

Hence:

7(x - 0.75) = 2.80

Solving for x

7x - 5.25 = 2.80

7x = 2.80 + 5.25

7x = 8.05

x = 8.05/7

x = $1.15

The normal price of each cookie = $1.15

Answer:

$ 1.15

Step-by-step explanation:

7(c-0.75) = 2.80 is the equation

$1.15 is the total for C

I did this khan before and this is correct

Hope this helps!

;)

Answer:

%70

Step-by-step explanation:1,000=%100  300+%30  1000 - 300 = 700 so 700 + %70

Answer:

-9x-2

Step-by-step explanation:

Answer:

-9x -2

Step-by-step explanation:

-3x + 1 – 3 – 6x

Combine like terms

-3x -6x  +1 -3

-9x -2

Answer:

1411 females

Step-by-step explanation:

Given that:

Male population = 60%

Female population = 40%

36% of total population are under 18

Ratio of male to female under 18 = 2 : 1

Males under 18 = 1176

Females over 18 =?

The population of females under 18:

If males under 18 = 1176

Then female under 18 = 1176 / 2 = 588

Hence number of population under 18 = (1176 + 588) = 1764

1764 = 36% of the entire population

Hence, (100 - 36)% = 64% of the entire population are over 18

1764 = 0.36

x = 0.72

x = (0.72 * 1764) / 0.36

x = 3528

Hence, 40% of the population above 18 are female

0.4 * 3528 = 1411.2

= 1411 females are over 18

The present age of Ahmed and Ahmed's father is 12 and 36 respectively.

Step-by-step explanation:

Given : Ahmed's father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son.

To Find : Their present age ?

Solution :

Let the Ahmed's age be 'x'.

Ahmed's father is thrice as old as Ahmed.

i.e. Ahmed's father age is '3x'

After 12 years, his age will be twice that of his son.

i.e. 3x+12 = 2(x+12)3x+12=2(x+12)

Solving the equation,

3x+12 = 2x+243x+12=2x+24

x=12x=12

So, Ahmed's age is 12.

Ahmed's father age is 3\times 12=363×12=36

Therefore, The present age of Ahmed and Ahmed's father is 12 and 36 respectively.

Answer:

15x+10-8x+2

7x+12

Step-by-step explanation:

Answer:

7  x  +  12

Step-by-step explanation:

Answer:

f = 54°

Step-by-step explanation:

54° and f are vertical angles and are congruent, thus

f = 54°

Answer:

24

Step-by-step explanation:

4*6=24

Answer:

Im not sure but i think its b

By definition of #,

2 # 3 = 2•2 - 3 = 4 - 3 = 1

(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2

1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4

The 1 # ( (2 # 3 ) # 4) equals to 4.

Given that,

Based on the above information, the calculation is as follows:

By definition of #,

= 2 # 3

= 2(2) - 3

= 4 - 3

= 1

Now

=(2 # 3) # 4

= 1 # 4

= 2(1) - 4

= 2 - 4

= -2

Now

=1 # ((2 # 3) # 4)

= 1 # (-2)

= 2(1) - (-2)

= 2 + 2

= 4

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Answer:

-150

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

-6x + 150

x = 50

Step 2: Evaluate

The product is expressed as an exponent as 6 x 6 = 6².

Given data:

To write the product 6 x 6 using an exponent, we can express it as 6².

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

When we multiply a number by itself, we can represent the repeated multiplication using an exponent. In this case, we have 6 multiplied by 6, which is the same as saying 6 raised to the power of 2 (6²).

The exponent 2 indicates that we are multiplying 6 by itself 2 times.

Hence, the product 6 x 6 can be written as 6².

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Answer:

2 1/5 meters

Step-by-step explanation:

Given that:

Area of kitchen = 3 3/4

Width of kitchen = 1 1/2

Length = x

Recall : Area of rectangle = Length * width

Area of kitchen = length * width

3 3/4 = x * 1 1/2

15 / 4 = x * 3/2

x = 15/4 ÷ 3/2

x = 15/4 * 2/3

x = 30/12 = 2 6/30

x = 2 1/5

Answer:

3x³ + 5x² + 4x + 4

Step-by-step explanation:

Given

(x + 2)(x² + x + 2) + 2(x³ + x²)

To expand the product, each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis

= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms

= 3x³ + 5x² + 4x + 4

Answer:

We conclude that:

[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]

Hence, option (A) is true.

Step-by-step explanation:

Let us solve the expression

Let us solve the L.H.S to check whether it becomes equal to R.H.S

[tex]-\frac{1}{12}\:\times \frac{6}{7}[/tex]

Factor the number: 12=6×2

[tex]-\frac{1}{6\cdot \:2}\cdot \frac{6}{7}[/tex]

Cross - cancel the common factor

[tex]-\frac{1}{2}\cdot \frac{1}{7}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]-\frac{1\cdot \:1}{2\cdot \:7}[/tex]

Multiply the number: 7×2 = 14

[tex]-\frac{1}{14}[/tex]

Therefore, we conclude that:

[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]

Hence, option (A) is true.

Answer:

a

Step-by-step explanation:

Answer:

111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

15-8.75= 7.25

That is the answer

Answer:

thetht

Step-by-step explanation:jtejr

Answer:

Partition shapes is to create equal shares by partitioning one whole area into small same-size areas.

Answer:

y = 1/5 x

Step-by-step explanation:

Answer:

1

--

5

Step-by-step explanation

Can you give jasmynpurifoy branliest

Answer:

In ΔIJK, the measure of ∠K=90°, JK = 90 feet, and KI = 54 feet. Find the measure of ∠I to the nearest tenth of a degree.

Step-by-step explanation:

Answer:

The answer is $21

Step-by-step explanation:

The amount of money for 12 yards of fabric is $ 21.00

Given data:

To determine the cost of 12 yards of fabric, we can use the information provided in the table. We observe that the cost of fabric increases linearly with the number of yards.

The table shows that 3 yards of fabric cost $5.25. To find the cost per yard, we divide the total cost by the number of yards:

$5.25 / 3 = $1.75

On simplifying the equation:

Now we can use this cost per yard to calculate the cost of 12 yards:

$1.75 × 12 = $21.00

Hence, 12 yards of fabric would cost $21.00.

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The complete question is attached below:

The table below shows the amount of money needed to buy certain amounts of fabric.Fabric Cost

Yards of Fabric

Total

Cost

3

$5.25

6

$10.50

9

$15.75

12

?

If the price is the same for each yard, how much money would 12 yards of fabric cost?

$18.00

$21.00

$24.75

$26.25

Answer:

I think he might need 100ml.

Step-by-step explanation:

Brandon needs to use 100 ml of water to make 250 ml of hand sanitizer.

The percentage is defined as a ratio expressed as a fraction of 100.

To save money, Brandon made his own hand sanitizer. Hand sanitizer needs 60% alcohol to be effective.

We have to determine the amount of water to manufacture 250ml of hand sanitizer.

To make 250ml of hand sanitizer with 60% alcohol, Brandon needs to use 250ml x 60% = 150ml of alcohol.

Since the total volume of the hand sanitizer is 250ml,

Brandon needs to use 250ml - 150ml = 100ml of water to make 250ml of hand sanitizer.

Therefore, he needs to use 100 ml of water to make 250 ml of hand sanitizer.

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Answer: 20 feet

Step-by-step explanation: you want to do 2.5 x 8